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"id": 1035270177392173200,
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"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 15:14:04",
"content": "Available help channel!",
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"id": 1035270592531812500,
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"timestamp": "10/27/2022 15:15:44",
"content": "Pinned a message.",
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"author_id": 890705188212576300,
"author_name": "🤙",
"timestamp": "10/27/2022 15:15:46",
"content": "How am I right?",
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"id": 1035270633325596700,
"author_id": 890705188212576300,
"author_name": "🤙",
"timestamp": "10/27/2022 15:15:53",
"content": "What makes the other answers wrong",
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{
"id": 1035272102435111000,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/27/2022 15:21:43",
"content": "because #1 is right and #2 and #3 are talking about different things",
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"author_id": 890705188212576300,
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"timestamp": "10/27/2022 15:23:46",
"content": ".close",
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] | help-9 | d5ed60ecc7ef4a22b4081e2081876fa6 |
200,566 | [
{
"id": 1060796667722481800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 00:47:14",
"content": "Available help channel!",
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"id": 1060797106958389200,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 00:48:58",
"content": "how do i find how much one box is between 14 and 15 on the x - axis",
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"timestamp": "01/06/2023 00:48:59",
"content": "Pinned a message.",
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"id": 1060797218635919400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 00:49:25",
"content": "\"box\"?",
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{
"id": 1060797380087251000,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 00:50:04",
"content": "i have to count from 14 to 15",
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"id": 1060797451268788200,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/06/2023 00:50:21",
"content": "hey",
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"id": 1060797510806929500,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/06/2023 00:50:35",
"content": "total number divide",
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{
"id": 1060797517039681700,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 00:50:36",
"content": "i have to mark 15.5 something here i dont know where should i marks 15.5",
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{
"id": 1060797642193506300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/06/2023 00:51:06",
"content": "It's the one right in the middle of 15 and 16",
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"id": 1060797754693124200,
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"timestamp": "01/06/2023 00:51:33",
"content": "so how should i do that",
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"timestamp": "01/06/2023 00:51:39",
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"id": 1060797940651806700,
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"timestamp": "01/06/2023 00:52:17",
"content": "that would be 15.5 i dont get is that total number divide thing",
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"id": 1060798060399181800,
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"timestamp": "01/06/2023 00:52:46",
"content": "i think everytime we have a different graph so",
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"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 01:07:46",
"content": "@- - Has your question been resolved?",
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{
"id": 1060802161686098000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:09:04",
"content": "how many parts do the gridlines divide the interval [15, 16] into?",
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{
"id": 1060803498238808000,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:14:22",
"content": "there are two boxes",
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{
"id": 1060803600424632300,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:14:47",
"content": "10 each",
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{
"id": 1060803706100142100,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:15:12",
"content": "now i dont get is the one box value",
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{
"id": 1060803744092139500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:15:21",
"content": "the interval from 15 to 16 on the x-axis is divided into **20** parts by the grid lines.",
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"id": 1060803788115554300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:15:31",
"content": "as can be seen by looking and counting.",
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{
"id": 1060804148863447000,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:16:57",
"content": "its like if i have to mark 14.7 i dont get that how should i mark 14.7",
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{
"id": 1060804452535246800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:18:10",
"content": "> the interval from 15 to 16 on the x-axis is divided into 20 parts by the grid lines.\ndo you understand this?",
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{
"id": 1060804633905332200,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:18:53",
"content": "i understand that there are 20 parts by the grid lines after counting",
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{
"id": 1060804656319701000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:18:58",
"content": "yes",
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{
"id": 1060804706940747900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:19:10",
"content": "so the step between two adjacent gridlines is 1/20 = 0.05",
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{
"id": 1060804798229790700,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:19:32",
"content": "i dont understand how to mark these values random like 15.2 or 14.8",
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{
"id": 1060804838260228200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:19:42",
"content": "> the step between two adjacent gridlines is 1/20 = 0.05\ndo you understand this",
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{
"id": 1060804974587695100,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:20:14",
"content": "i dont understand this",
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{
"id": 1060805049988681700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:20:32",
"content": "the grid lines divide the interval from 15 to 16 (which has length 1) into 20 equal parts",
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{
"id": 1060805057857208300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:20:34",
"content": "do you understand this",
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{
"id": 1060805389601476600,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:21:53",
"content": "what is length one i mean what you mean by length one",
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"id": 1060805458325147600,
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"timestamp": "01/06/2023 01:22:10",
"content": "like one box is one",
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"id": 1060805503803994100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:22:20",
"content": "no, i mean that the distance between 15 and 16 is one unit",
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"id": 1060805613367595000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 01:22:47",
"content": "Channel closed",
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] | help-9 | cdcd19e2e249416bb85f048ebdf896f0 |
200,567 | [
{
"id": 1060805682036744300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:23:03",
"content": ".reopen",
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"id": 1060805687019585500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 01:23:04",
"content": "✅",
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{
"id": 1060805778233098200,
"author_id": 943386909126820000,
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"timestamp": "01/06/2023 01:23:26",
"content": "it looks like one unit has 20 boxes",
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"id": 1060805856293298200,
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"author_name": "Ann",
"timestamp": "01/06/2023 01:23:44",
"content": "yes, and that was my point all along.",
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"id": 1060805890653044900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:23:53",
"content": "so one \"box\", as you call it, stands for 0.05 units.",
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"id": 1060805902925574100,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:23:56",
"content": "this is something that i want to understand",
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"id": 1060805956415537300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:24:08",
"content": "do you understand basic division?",
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{
"id": 1060806067405197400,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:24:35",
"content": "i understand basic division",
"attachments": [],
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{
"id": 1060806218358202400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/06/2023 01:25:11",
"content": "so then, do you understand that if 20 boxes represent 1 unit, then each box represents 1/20, or 0.05 units?",
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"id": 1060806267498672100,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/06/2023 01:25:22",
"content": "i want to know this so that’s everytime i have a different graph i can work this on my own",
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"id": 1060806352756289500,
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"author_name": "Ann",
"timestamp": "01/06/2023 01:25:43",
"content": "i am TRYING to explain this to you",
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"id": 1060806680943800300,
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"timestamp": "01/06/2023 01:27:01",
"content": "i think this is what it didnt understand now i can work on different graphs",
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"id": 1060807080161837000,
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"timestamp": "01/06/2023 01:28:36",
"content": "thank you so much - this made so much sense to me - now i can try this on different graphs",
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"timestamp": "01/06/2023 01:29:19",
"content": ".close",
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"timestamp": "01/06/2023 01:29:20",
"content": "Channel closed",
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] | help-9 | 560f4556cbc64001ab0b3aabb9452539 |
200,568 | [
{
"id": 1060841280499896300,
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"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 03:44:30",
"content": "Available help channel!",
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{
"id": 1060845908419412000,
"author_id": 838923098622394400,
"author_name": "Malek",
"timestamp": "01/06/2023 04:02:54",
"content": "Si=if / alors=then",
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"timestamp": "01/06/2023 04:02:55",
"content": "Pinned a message.",
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{
"id": 1060846157783388200,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/06/2023 04:03:53",
"content": "Just expand (a - b)^2",
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},
{
"id": 1060846229887656000,
"author_id": 838923098622394400,
"author_name": "Malek",
"timestamp": "01/06/2023 04:04:10",
"content": "And",
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},
{
"id": 1060846262452240400,
"author_id": 269946910138171400,
"author_name": "「☔」プドリ",
"timestamp": "01/06/2023 04:04:18",
"content": "subsitute",
"attachments": [],
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"reference": null
},
{
"id": 1060846324435648500,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/06/2023 04:04:33",
"content": "what did you get?",
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},
{
"id": 1060846403108212700,
"author_id": 838923098622394400,
"author_name": "Malek",
"timestamp": "01/06/2023 04:04:52",
"content": "I don’t know what to do",
"attachments": [],
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},
{
"id": 1060846514383114400,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/06/2023 04:05:18",
"content": "I already told you, expand (a - b)^2",
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},
{
"id": 1060846621463679000,
"author_id": 269946910138171400,
"author_name": "「☔」プドリ",
"timestamp": "01/06/2023 04:05:44",
"content": "like multiply it out",
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},
{
"id": 1060846651054497800,
"author_id": 269946910138171400,
"author_name": "「☔」プドリ",
"timestamp": "01/06/2023 04:05:51",
"content": "(a-b) x (a-b)",
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},
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"author_name": "numbpy",
"timestamp": "01/06/2023 04:05:59",
"content": "This question is a direct application of the formula for (a - b)^2",
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"timestamp": "01/06/2023 04:06:03",
"content": "yeah",
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"timestamp": "01/06/2023 04:06:31",
"content": "then u should get the variables and u can substitute those in for what they are equal to",
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"timestamp": "01/06/2023 04:07:46",
"content": "How do i do this when i don’t have their values",
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"content": "u dont need their values",
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"timestamp": "01/06/2023 04:08:11",
"content": "multiply them out as variables",
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"author_name": "numbpy",
"timestamp": "01/06/2023 04:08:25",
"content": "remember that a and b are variables ie substitutes for actual numbers",
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"timestamp": "01/06/2023 04:08:33",
"content": "Just treat them like actual numbers",
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"timestamp": "01/06/2023 04:08:34",
"content": "a x a = a^2 for example",
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"author_name": "numbpy",
"timestamp": "01/06/2023 04:09:05",
"content": "I hope you know basic multiplication, that's all that is required",
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"author_name": "Malek",
"timestamp": "01/06/2023 04:09:58",
"content": "How do i do a-b",
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"timestamp": "01/06/2023 04:10:57",
"content": "You don't need to",
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"timestamp": "01/06/2023 04:11:12",
"content": "treat it just like formal substraction",
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"timestamp": "01/06/2023 04:11:46",
"content": "for example how would you do: (5 - 3) x (5 - 3)?",
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"timestamp": "01/06/2023 04:11:56",
"content": "without evaluating 5 -3 first",
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"author_id": 838923098622394400,
"author_name": "Malek",
"timestamp": "01/06/2023 04:17:44",
"content": "But how do i evaluate them in the first place",
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"id": 1060849748963229800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/06/2023 04:18:09",
"content": "forget about evaluating for now",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/06/2023 04:18:18",
"content": "and focus on expanding only",
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"author_id": 838923098622394400,
"author_name": "Malek",
"timestamp": "01/06/2023 04:19:16",
"content": "how is that done",
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"id": 1060850038357631100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/06/2023 04:19:18",
"content": "if the numerical value of a certain variable is unkwown to you, just keep that varible as is",
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"author_name": "numbpy",
"timestamp": "01/06/2023 04:19:36",
"content": "Lemme explain you with this example",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/06/2023 04:19:39",
"content": "have you ever expanded anything before?",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/06/2023 04:20:07",
"content": "are you familiar with the basic distributive property and \nhow to expand something like \na(b+c)",
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"id": 1060850252325851100,
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"author_name": "numbpy",
"timestamp": "01/06/2023 04:20:09",
"content": "(5 - 3) x (5 - 3) = 5 x (5 - 3) - 3 x (5 -3)",
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"id": 1060850269904183300,
"author_id": 838923098622394400,
"author_name": "Malek",
"timestamp": "01/06/2023 04:20:13",
"content": "I study in French i don’t know what expanding is",
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"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/06/2023 04:20:18",
"content": "That is expanding",
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"id": 1060850510464307200,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/06/2023 04:21:11",
"content": "This is called expanding basically using the distributive law - a x (b + c) = a x b + a x c",
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"id": 1060850625392423000,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/06/2023 04:21:38",
"content": "$a \\cdot (b + c) = a \\cdot b + a \\cdot c$",
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"id": 1060850634397581300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/06/2023 04:21:40",
"content": "**numbpy**",
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"timestamp": "01/06/2023 04:21:54",
"content": "Do you recognise this?",
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"author_id": 838923098622394400,
"author_name": "Malek",
"timestamp": "01/06/2023 04:22:18",
"content": "Ok i got it",
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},
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"id": 1060851482016108500,
"author_id": 838923098622394400,
"author_name": "Malek",
"timestamp": "01/06/2023 04:25:02",
"content": ".close",
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},
{
"id": 1060851485031792600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 04:25:03",
"content": "Channel closed",
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}
] | help-9 | 25a6976a6cf54cddbbd5b8f9ed986508 |
200,569 | [
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 05:02:57",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1060869046901420000,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/06/2023 05:34:50",
"content": "i need help with this problem",
"attachments": [],
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},
{
"id": 1060869049183109100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 05:34:51",
"content": "Pinned a message.",
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"id": 1060869242347589800,
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"timestamp": "01/06/2023 05:35:37",
"content": "@Helper",
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"author_name": "lewis_f04",
"timestamp": "01/06/2023 05:42:25",
"content": "You shouldn’t ping helpers for 15 mins, you need to take the equation arclength = theta * radius and rearrange for theta",
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"timestamp": "01/06/2023 05:43:04",
"content": "so arc length/radius = theta",
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"timestamp": "01/06/2023 05:43:08",
"content": "ok ty",
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"author_name": "BatEnjoyer",
"timestamp": "01/06/2023 05:46:07",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 05:46:08",
"content": "Channel closed",
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] | help-9 | af5a61c35de645d989a8ba5cab88dc03 |
200,570 | [
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{
"id": 1060873829104242700,
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"author_id": 560241701612945400,
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"timestamp": "01/06/2023 05:54:12",
"content": "for part i) do i use the horizontal line test?",
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"content": ".close",
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] | help-9 | d7279a24ccab4006a7fdef4ff79dea29 |
200,571 | [
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"content": "Available help channel!",
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{
"id": 1060879238858817500,
"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:15:20",
"content": "Hi to everyone, basically im stuck on this problem:\nGiven triangle ABC, isosceles on the base AB, draw the axis of AB, the axis of BC and denote their point of intersection by P. Prove that the angle at the vertex of the isosceles triangle BPC is twice each of the angles at the base of triangle ABC.\nthe part where im stuck is what it asks.. i can't get it how can i get through it and prove something like that.\nim stuck in this problem from 3 days, its very painful and frustrating(this is euclidean geometry btw)",
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"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:17:37",
"content": "thanks in advance for the help",
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{
"id": 1060880161437925500,
"author_id": 882647759906275300,
"author_name": "HPH_Bulko",
"timestamp": "01/06/2023 06:19:00",
"content": "What can you say about triangle BPC?",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:19:09",
"content": "that is hysoscele",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:19:34",
"content": "and the s line is the bisector of BPC(angle at vertex)",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:19:54",
"content": "sorry for my bad english",
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"id": 1060880411804303400,
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:20:00",
"content": "my main language is italian",
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"author_id": 882647759906275300,
"author_name": "HPH_Bulko",
"timestamp": "01/06/2023 06:20:15",
"content": "And what about the two equal angles of BPC?",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:20:42",
"content": "that are equal to the 1/2C angle",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:21:08",
"content": "and a little difference of the angle to the bases ABC",
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"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:21:59",
"content": "Express angle BPC in terms of C",
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"id": 1060880912214130700,
"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:21:59",
"content": "i thought i could use the sum of intern angles of a triangle but idk in what context",
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"author_name": "Assassin",
"timestamp": "01/06/2023 06:22:10",
"content": "And any of angle A and B too",
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"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:22:16",
"content": "Now check the relation",
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"author_name": "Assassin",
"timestamp": "01/06/2023 06:22:29",
"content": "You will get your prove",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:22:54",
"content": "1/2C = 180deg - 1/2C - BPC(angle)",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:23:00",
"content": "oh mybad",
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"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:23:07",
"content": "thank you, im gonna try",
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"timestamp": "01/06/2023 06:23:50",
"content": "bpc=180-(2*1/2 C)=180-C",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:23:54",
"content": "yeah i wrote that",
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"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:23:57",
"content": "in the notebook",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:23:59",
"content": "just right now",
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"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:24:10",
"content": "Now write angle a /b",
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"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:24:13",
"content": "In terms of c",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:24:23",
"content": "but A = 180-C-B",
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"timestamp": "01/06/2023 06:24:27",
"content": "but A = B",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:24:32",
"content": "so A = 180-C-A?",
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"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:24:42",
"content": "a=b",
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"id": 1060881594224738300,
"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:24:42",
"content": "BUT",
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"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:24:47",
"content": "180-C = APB",
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"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:24:49",
"content": "Since isosceles",
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},
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"id": 1060881637551906800,
"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:24:52",
"content": "A = APB-A",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:25:00",
"content": "B = A",
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"author_name": "Assassin",
"timestamp": "01/06/2023 06:25:01",
"content": "a=b= (180-c)/2",
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"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:25:12",
"content": "ooh wow",
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"id": 1060881730602549200,
"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:25:14",
"content": "thank you so much",
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},
{
"id": 1060881738106155000,
"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:25:16",
"content": "bpc = 180-c",
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"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:25:19",
"content": "Proved",
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"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:25:25",
"content": "It's double of base angles",
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"id": 1060881784549675000,
"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:25:27",
"content": "ur geometry god",
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},
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"id": 1060881804078362600,
"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:25:32",
"content": "Not good",
"attachments": [],
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},
{
"id": 1060881841919373300,
"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:25:41",
"content": "idk why but everything i learned seems to be uneffective after i took fever",
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{
"id": 1060881849599144000,
"author_id": 1058254853429801000,
"author_name": "Assassin",
"timestamp": "01/06/2023 06:25:43",
"content": "This is just a common problem",
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},
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"id": 1060881892020334700,
"author_id": 688032319235293200,
"author_name": "enomiS",
"timestamp": "01/06/2023 06:25:53",
"content": "thank you",
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"id": 1060881940204507100,
"author_id": 882647759906275300,
"author_name": "HPH_Bulko",
"timestamp": "01/06/2023 06:26:04",
"content": "😦",
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"id": 1060881992494878800,
"author_id": 882647759906275300,
"author_name": "HPH_Bulko",
"timestamp": "01/06/2023 06:26:17",
"content": "I'm just slow at typing",
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"author_name": "enomiS",
"timestamp": "01/06/2023 06:26:28",
"content": "don't worry thanks anyway",
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"timestamp": "01/06/2023 06:26:34",
"content": ".close",
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{
"id": 1060882067484848100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Channel closed",
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] | help-9 | 863c82d361a54ecead2b46c41029dba6 |
200,572 | [
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"author_id": 882647759906275300,
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"timestamp": "01/06/2023 06:26:37",
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"content": "Available help channel!",
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},
{
"id": 1060887435082485800,
"author_id": 994645467008864400,
"author_name": "Howard Mcgill",
"timestamp": "01/06/2023 06:47:54",
"content": "integrating 1/x would give me ln x right? so what does integrating 1/rootx give me?",
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"content": "Pinned a message.",
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"id": 1060887842018050000,
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"timestamp": "01/06/2023 06:49:31",
"content": "1/sqrt(x) is x^(-1/2)",
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"id": 1060887877241807000,
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"content": "do you know how to integrate power functions?",
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"content": "uhhhhh",
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"content": "oh nvm i got it lol i’m just dumb",
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"content": "yeah thanks :3",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | b340071c43014b868b4e68a6c2eea905 |
200,573 | [
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"content": "Available help channel!",
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},
{
"id": 1060901693367271600,
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"timestamp": "01/06/2023 07:44:48",
"content": "can anyone mind helping me?",
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"timestamp": "01/06/2023 07:45:11",
"content": "ejkl trapezium\nefgh rectangle",
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"timestamp": "01/06/2023 07:45:28",
"content": "In which part you are having problems in",
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"content": "number 5",
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"timestamp": "01/06/2023 07:45:40",
"content": "My teacher could come in any sec so don't mind",
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"timestamp": "01/06/2023 07:45:50",
"content": "aright thanks!",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:46:04",
"content": "Wait I will help you until he will come",
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"timestamp": "01/06/2023 07:46:30",
"content": "ohhh oke",
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"timestamp": "01/06/2023 07:46:30",
"content": "In you have to take out the area of the shaded region",
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"timestamp": "01/06/2023 07:46:38",
"content": "yes",
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"timestamp": "01/06/2023 07:47:04",
"content": "So you have to take out the area of trapezium and that white shaded rectangle",
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"timestamp": "01/06/2023 07:47:14",
"content": "ohhh",
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"timestamp": "01/06/2023 07:47:22",
"content": "Area of shaded region = area of trapezium - area of rectangle",
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"timestamp": "01/06/2023 07:47:37",
"content": "So you know how to take out the area of trapezium?@dorey",
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"timestamp": "01/06/2023 07:47:51",
"content": "wow thanks for teh explanation",
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"timestamp": "01/06/2023 07:47:53",
"content": "wait lemme try",
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"timestamp": "01/06/2023 07:47:56",
"content": "Ok",
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"author_name": "dorey",
"timestamp": "01/06/2023 07:48:21",
"content": "since its 10 cm so rectangle is basically 5x4 = 20?",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:48:57",
"content": "No area of rectangle is \nL×B",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:49:03",
"content": "Length × breath",
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"author_name": "dorey",
"timestamp": "01/06/2023 07:49:05",
"content": "ohhh",
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"timestamp": "01/06/2023 07:49:07",
"content": "It is not square@dorey",
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"timestamp": "01/06/2023 07:49:16",
"content": "ohhh",
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"timestamp": "01/06/2023 07:49:19",
"content": "oh yeah",
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"timestamp": "01/06/2023 07:49:20",
"content": "You can't just multiply one side 2 time",
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"timestamp": "01/06/2023 07:49:24",
"content": "im dumb sorry yeah i thought its square",
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"timestamp": "01/06/2023 07:49:34",
"content": "It's ok",
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"timestamp": "01/06/2023 07:50:24",
"content": "so the anwer is",
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"timestamp": "01/06/2023 07:50:25",
"content": "45?",
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"id": 1060903227484278800,
"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:50:40",
"content": "length is 9 \nbreath is 5",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:50:42",
"content": "Yes",
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"id": 1060903252935323600,
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"timestamp": "01/06/2023 07:50:46",
"content": "ohh thanksss",
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"id": 1060903254474641500,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:50:46",
"content": "It's 45",
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"id": 1060903304261021700,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:50:58",
"content": "But the question is not completed yet",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:51:09",
"content": "You have to calculate the area of trapezium@dorey",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:51:13",
"content": "You know how to do it?",
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"id": 1060903396590235800,
"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:51:20",
"content": "oh",
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"author_name": "dorey",
"timestamp": "01/06/2023 07:51:22",
"content": "ill try hold on",
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"id": 1060903500520886300,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:51:45",
"content": "Area of trapezium $= \\frac{a+b}{2} × h$",
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"id": 1060903509622534300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/06/2023 07:51:47",
"content": "**Arnab**",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:51:58",
"content": "H is height and a,b are the bases",
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"id": 1060903720805732400,
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"author_name": "dorey",
"timestamp": "01/06/2023 07:52:37",
"content": "oh yes",
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"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:52:42",
"content": "is it like this?",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:53:24",
"content": "12,18,10",
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"id": 1060903932097990700,
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"author_name": "dorey",
"timestamp": "01/06/2023 07:53:28",
"content": "ohh",
"attachments": [],
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"id": 1060903932152516600,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:53:28",
"content": "And don't use Google",
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"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:53:32",
"content": "ohh laright",
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"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:53:46",
"content": "It's easy I can help you in the calculations",
"attachments": [],
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},
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"id": 1060904040055193600,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:53:53",
"content": "But don't use Google for it",
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"timestamp": "01/06/2023 07:54:07",
"content": "ohh alright i wont",
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"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:54:09",
"content": "thanks btwww",
"attachments": [],
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},
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"id": 1060904129452576800,
"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:54:15",
"content": "i think i kinda figured it out",
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"timestamp": "01/06/2023 07:54:16",
"content": "om",
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},
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"id": 1060904170879733900,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:54:24",
"content": ",w plot x^2 + {y -3/4(x^2)^(1/3)}^2 < 1×1",
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"timestamp": "01/06/2023 07:54:27",
"content": "Results provided by WolframAlpha",
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"id": 1060904257387253800,
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:54:45",
"content": "$\\frac{18+12}{2}×10$",
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"timestamp": "01/06/2023 07:54:48",
"content": "**Arnab**",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:54:53",
"content": "Just solve this",
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"id": 1060904306393485400,
"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:54:57",
"content": "100",
"attachments": [],
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},
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"id": 1060904309610516500,
"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:54:58",
"content": "right",
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},
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"id": 1060904316413677700,
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"timestamp": "01/06/2023 07:54:59",
"content": "ohhh",
"attachments": [],
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"id": 1060904338542837900,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:55:04",
"content": "150",
"attachments": [],
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},
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"id": 1060904350739865700,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:55:07",
"content": "Not 100",
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},
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"id": 1060904358864240800,
"author_id": 808473468365963400,
"author_name": "dorey",
"timestamp": "01/06/2023 07:55:09",
"content": "oh",
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},
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"id": 1060904369882665100,
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"author_name": "dorey",
"timestamp": "01/06/2023 07:55:12",
"content": "wow im dumb",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:55:20",
"content": "30/2×10",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:55:22",
"content": "15×10",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:55:26",
"content": "It's 150",
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"id": 1060904467358289900,
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:55:35",
"content": "No you are not",
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"timestamp": "01/06/2023 07:55:36",
"content": "ohhh",
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"id": 1060904524086259700,
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"timestamp": "01/06/2023 07:55:49",
"content": "And just subtract now \n150-45",
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"timestamp": "01/06/2023 07:56:00",
"content": "You will get the area of the shaded region",
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"timestamp": "01/06/2023 07:56:14",
"content": "oh yes",
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"id": 1060904638146150500,
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"author_name": "dorey",
"timestamp": "01/06/2023 07:56:16",
"content": "omg thanks",
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"id": 1060904654818521100,
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"author_name": "dorey",
"timestamp": "01/06/2023 07:56:20",
"content": "its 105 right",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/06/2023 07:56:25",
"content": "Yupp",
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"timestamp": "01/06/2023 07:56:26",
"content": "ill keep the formula",
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"author_name": "dorey",
"timestamp": "01/06/2023 07:56:29",
"content": "thakn you again",
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"timestamp": "01/06/2023 07:56:33",
"content": "Ofcourse",
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"timestamp": "01/06/2023 07:56:34",
"content": "Ok bye",
"attachments": [],
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},
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"id": 1060904728353046500,
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"content": "babye",
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"timestamp": "01/06/2023 08:03:44",
"content": "150 how asked this?:/",
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"timestamp": "01/06/2023 08:11:38",
"content": "@dorey Has your question been resolved?",
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}
] | help-9 | 4d5c9310bcf645f4a0b50ea185ddab4f |
200,574 | [
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"timestamp": "01/06/2023 08:23:33",
"content": "Available help channel!",
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},
{
"id": 1060913477406961800,
"author_id": 653121200893067300,
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"timestamp": "01/06/2023 08:31:23",
"content": "Given sin θ = 3/5 , calculate the length, in cm, of QR\n\nanyone can help?",
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"timestamp": "01/06/2023 08:31:24",
"content": "Pinned a message.",
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"timestamp": "01/06/2023 08:31:41",
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"timestamp": "01/06/2023 08:31:53",
"content": "You know the trig functions?",
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"timestamp": "01/06/2023 08:32:04",
"content": "no",
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"timestamp": "01/06/2023 08:32:12",
"content": "sine and cosine?",
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"content": "yes",
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"timestamp": "01/06/2023 08:32:22",
"content": "Those are the trig functions",
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"timestamp": "01/06/2023 08:32:33",
"content": "the sin = opposite/hypotenuse right?",
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"timestamp": "01/06/2023 08:32:34",
"content": "You are given that sin theta = 3/5",
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"timestamp": "01/06/2023 08:32:35",
"content": "Yep",
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"timestamp": "01/06/2023 08:32:41",
"content": "alright",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 08:32:59",
"content": "And you are given a length for the hypotenuse",
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"timestamp": "01/06/2023 08:33:17",
"content": "From the hypotenuse, can you get the length of the opposite side?",
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"author_name": "tushar",
"timestamp": "01/06/2023 08:34:12",
"content": "do you need to do that yet?",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:34:16",
"content": "by doing the Pythagorean theorem?",
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"author_name": "tushar",
"timestamp": "01/06/2023 08:34:21",
"content": "just use this equation and set equal to 3/5, no?",
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"timestamp": "01/06/2023 08:34:38",
"content": ":this:",
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"timestamp": "01/06/2023 08:34:56",
"content": "You don't have the lengths of the other 2 sides yet tho",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 08:35:21",
"content": "But you have the sine of the angle theta",
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"timestamp": "01/06/2023 08:35:39",
"content": "And sin θ = opp/hyp",
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"timestamp": "01/06/2023 08:35:49",
"content": "And given is sin θ = 3/5",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:36:06",
"content": "so opp = 3 and hyp is 5 right?",
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"author_name": "tushar",
"timestamp": "01/06/2023 08:36:20",
"content": "not necessarily",
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"timestamp": "01/06/2023 08:36:20",
"content": "Well not really like that",
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"author_name": "starlight",
"timestamp": "01/06/2023 08:36:20",
"content": "not quite, the ratio of opp and hyp is 3:5",
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"author_name": "tushar",
"timestamp": "01/06/2023 08:36:43",
"content": "a triangle with opposite side 9 and hypotenuse 15 will still have sin equal to 3/5",
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"timestamp": "01/06/2023 08:36:46",
"content": "So it's more like",
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"timestamp": "01/06/2023 08:36:58",
"content": "opposite/hyp = 3/5",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:37:12",
"content": "its not in cm right?",
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"timestamp": "01/06/2023 08:37:39",
"content": "Which?",
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"timestamp": "01/06/2023 08:37:44",
"content": "The side?",
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"timestamp": "01/06/2023 08:37:47",
"content": "Or the sine?",
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"timestamp": "01/06/2023 08:37:58",
"content": "the 3/5",
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"timestamp": "01/06/2023 08:38:05",
"content": "No that's a ratio",
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"timestamp": "01/06/2023 08:38:18",
"content": "ratio of 2 sides",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:38:40",
"content": "so how do you get length in cm?",
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"timestamp": "01/06/2023 08:38:55",
"content": "The triangle you have",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 08:39:09",
"content": "What is the hypotenuse?",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:39:15",
"content": "10cm",
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"author_name": "Dizaj",
"timestamp": "01/06/2023 08:39:24",
"content": "Can i help?",
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"timestamp": "01/06/2023 08:39:27",
"content": "Okay",
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"timestamp": "01/06/2023 08:39:28",
"content": "So hyp = 10cm",
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"timestamp": "01/06/2023 08:39:41",
"content": "Sure",
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"content": "",
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"timestamp": "01/06/2023 08:40:21",
"content": "Hmm",
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"content": "QR=8",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:40:31",
"content": "let me process this",
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"timestamp": "01/06/2023 08:40:36",
"content": "Okay",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:40:44",
"content": "thats x right?",
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"author_name": "Dizaj",
"timestamp": "01/06/2023 08:40:51",
"content": "a²=rad b²+c²",
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"timestamp": "01/06/2023 08:40:53",
"content": "What is x?",
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"timestamp": "01/06/2023 08:41:02",
"content": "rad?",
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"timestamp": "01/06/2023 08:41:04",
"content": "X is pq y is qr",
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"timestamp": "01/06/2023 08:41:25",
"content": "but how do you get 6?",
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"timestamp": "01/06/2023 08:41:38",
"content": "opp/hyp = 3/5 and replace hyp = 10",
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"timestamp": "01/06/2023 08:41:44",
"content": "so",
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"author_name": "Dizaj",
"timestamp": "01/06/2023 08:41:46",
"content": "radical",
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"timestamp": "01/06/2023 08:41:50",
"content": "Opp/10 = 3/5",
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"timestamp": "01/06/2023 08:41:55",
"content": "Cross multiply",
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"timestamp": "01/06/2023 08:42:10",
"content": "30 = 5opp",
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"timestamp": "01/06/2023 08:42:18",
"content": "opp = 30/5 = 6",
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"timestamp": "01/06/2023 08:42:27",
"content": "Yep",
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"timestamp": "01/06/2023 08:42:32",
"content": "radical with a^2?",
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"timestamp": "01/06/2023 08:42:44",
"content": "So like",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 08:42:51",
"content": "When we want to find a alone",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 08:43:01",
"content": "We do sqrt(sqrt(b^2 + c^2))?",
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"author_name": "Dizaj",
"timestamp": "01/06/2023 08:43:08",
"content": "Pythagorean formula yes",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 08:43:18",
"content": "Double square root to find a?",
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"timestamp": "01/06/2023 08:43:23",
"content": "Also what is a?",
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"timestamp": "01/06/2023 08:44:06",
"content": "$a^2 = \\sqrt{b^2 + c^2}$?",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/06/2023 08:44:08",
"content": "**VulcanOne**",
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"timestamp": "01/06/2023 08:44:19",
"content": "The radical of the sum of the squares of the 2 opposite sides of the chord is equal to the chord of the square",
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"timestamp": "01/06/2023 08:44:32",
"content": "Yes",
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"timestamp": "01/06/2023 08:44:33",
"content": "Not sure what you mean",
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"timestamp": "01/06/2023 08:44:41",
"content": "No that is wrong",
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"timestamp": "01/06/2023 08:45:07",
"content": "$a^2 = b^2 + c^2 \\\\\na = \\mathrm{hyp} \\\\\nb = \\mathrm{leg_1} \\\\\nc = \\mathrm{leg_2}$",
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"timestamp": "01/06/2023 08:45:38",
"content": "**VulcanOne**",
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"timestamp": "01/06/2023 08:46:08",
"content": "So that $a = \\sqrt{b^2 + c^2}$",
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"author_name": "Dizaj",
"timestamp": "01/06/2023 08:46:08",
"content": "So what was wrong?",
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"timestamp": "01/06/2023 08:46:10",
"content": "so\nx/10 = 3/5\n= 30/5x \n= x = 30/5\n= 30/5 = 6\n\nis it like this?",
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"timestamp": "01/06/2023 08:46:10",
"content": "**VulcanOne**",
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"timestamp": "01/06/2023 08:46:35",
"content": "$a^2 \\neq \\sqrt{b^2 + c^2}$",
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"timestamp": "01/06/2023 08:46:42",
"content": "**VulcanOne**",
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"timestamp": "01/06/2023 08:46:59",
"content": "I mention the true here \nYes sorry",
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"timestamp": "01/06/2023 08:47:28",
"content": "Yes but what is x?",
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"timestamp": "01/06/2023 08:47:32",
"content": "What side is it?",
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"timestamp": "01/06/2023 08:47:32",
"content": "opp",
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"timestamp": "01/06/2023 08:47:37",
"content": "Okay correct",
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"timestamp": "01/06/2023 08:47:46",
"content": "so its like that?",
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"timestamp": "01/06/2023 08:48:01",
"content": "Is pq",
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"timestamp": "01/06/2023 08:48:02",
"content": "What is the name of the opposite side?",
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"timestamp": "01/06/2023 08:48:14",
"content": "I want Katze to answer",
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"timestamp": "01/06/2023 08:48:33",
"content": "pq?",
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"timestamp": "01/06/2023 08:48:39",
"content": "Yes",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:48:41",
"content": "the opp of theta?",
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"timestamp": "01/06/2023 08:48:56",
"content": "Yes",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:49:08",
"content": "θ this is theta?",
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"timestamp": "01/06/2023 08:49:14",
"content": "Yeah",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:49:14",
"content": "thats the name?",
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"timestamp": "01/06/2023 08:49:38",
"content": "Yeah",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 08:50:04",
"content": "Theta is the greek letter θ",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:50:37",
"content": "new info for me",
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"timestamp": "01/06/2023 08:50:39",
"content": "thanks",
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"timestamp": "01/06/2023 08:50:41",
"content": "so",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:51:34",
"content": "to get the length of a leg in triangle with only given hypotenuse , you just need to do the cross multiply?",
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"timestamp": "01/06/2023 08:52:02",
"content": "With a given ratio, yes",
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"timestamp": "01/06/2023 08:52:15",
"content": "Given ratio like sin or cos of an angle",
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"timestamp": "01/06/2023 08:52:27",
"content": "by given ratio, you mean the theta?",
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"timestamp": "01/06/2023 08:52:30",
"content": "the 3/5?",
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"timestamp": "01/06/2023 08:52:30",
"content": "tan of an angle works too but for the ratio of 2 legs",
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"timestamp": "01/06/2023 08:52:43",
"content": "cos(θ) and sin(θ)",
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"timestamp": "01/06/2023 08:52:53",
"content": "θ itself is an angle",
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"timestamp": "01/06/2023 08:52:58",
"content": "It's not a ratio",
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"timestamp": "01/06/2023 08:53:10",
"content": "But trigonometric functions operating it are ratios",
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"timestamp": "01/06/2023 08:53:43",
"content": "ooo",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:54:30",
"content": "u see the calculation pic dizaj send?",
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"timestamp": "01/06/2023 08:54:35",
"content": "the triangle",
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"timestamp": "01/06/2023 08:54:43",
"content": "Yeah",
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"timestamp": "01/06/2023 08:54:47",
"content": "theres 6 and 10",
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"timestamp": "01/06/2023 08:54:52",
"content": "and the other one?",
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"timestamp": "01/06/2023 08:55:10",
"content": "10 is the side PR",
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"timestamp": "01/06/2023 08:55:27",
"content": "The 6 is the opposite to the angle θ",
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"timestamp": "01/06/2023 08:55:48",
"content": "Which is PQ",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:56:39",
"content": "6 is pq\n8 is qr and\n10 is pr?",
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"author_name": "Katze",
"timestamp": "01/06/2023 08:57:17",
"content": "right?",
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"timestamp": "01/06/2023 08:57:22",
"content": "Yes",
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"author_name": "Katze",
"timestamp": "01/06/2023 09:00:57",
"content": "but",
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"author_name": "Katze",
"timestamp": "01/06/2023 09:01:16",
"content": "how do you get 8 on the square root calculation?",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 09:02:05",
"content": "By getting side PQ and using Pythagoras",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 09:04:59",
"content": "@Katze problem still going or?",
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"timestamp": "01/06/2023 09:05:23",
"content": "almost",
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"timestamp": "01/06/2023 09:05:29",
"content": "the answer is 8",
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"timestamp": "01/06/2023 09:05:37",
"content": "but im trying to understand it",
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"author_name": "Katze",
"timestamp": "01/06/2023 09:05:40",
"content": "sorry",
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"timestamp": "01/06/2023 09:06:27",
"content": "to get 8",
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"timestamp": "01/06/2023 09:06:33",
"content": "use this right?",
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"timestamp": "01/06/2023 09:06:39",
"content": "Yeah",
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"author_name": "VulcanOne",
"timestamp": "01/06/2023 09:06:45",
"content": "What's c and a and b?",
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"timestamp": "01/06/2023 09:07:03",
"content": "c is hyp and a is opp",
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"timestamp": "01/06/2023 09:07:09",
"content": "right?",
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"timestamp": "01/06/2023 09:07:16",
"content": "Yep",
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"author_name": "Katze",
"timestamp": "01/06/2023 09:12:43",
"content": "so $\\sqrt{10^2 - 6^2}$",
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"timestamp": "01/06/2023 09:12:45",
"content": "**Katze**",
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"timestamp": "01/06/2023 09:13:08",
"content": "$\\sqrt{10^2 - 6^2}$",
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"timestamp": "01/06/2023 09:13:09",
"content": "Yep",
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"timestamp": "01/06/2023 09:13:11",
"content": "**Katze**",
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"timestamp": "01/06/2023 09:13:14",
"content": "and",
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"timestamp": "01/06/2023 09:13:30",
"content": "$\\sqrt{100-36}$",
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"timestamp": "01/06/2023 09:13:32",
"content": "**VulcanOne**",
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"timestamp": "01/06/2023 09:13:48",
"content": "u get -26?",
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"timestamp": "01/06/2023 09:14:42",
"content": "\")",
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"content": "Are you saying $\\sqrt{100-36}$ equals -26?",
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"content": "==Radical64=8",
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"content": "How did you get -26?",
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"content": "You did $\\sqrt{100} -36$",
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"content": "**dldh06**",
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"content": "In the calculator",
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"content": "Not $\\sqrt{100-36}$",
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"content": "**dldh06**",
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"content": "Both the 100 and 36 are under the root",
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"content": "i got 4",
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"content": "Not quite",
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"timestamp": "01/06/2023 09:18:26",
"content": "What did you type into the calculator this time?",
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"content": "First, subtract the numbers inside, then take the radical",
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"content": "$\\sqrt{100}- \\sqrt{36}",
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"content": "$\\sqrt{100}- \\sqrt{36}$",
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"content": "**Katze**",
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"content": "Stop trying to interrupt",
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"content": "No because $\\sqrt{a - b} \\neq \\sqrt{a} - \\sqrt{b}$",
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"content": "**dldh06**",
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"content": "oooh",
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"content": "You can't separate like that",
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"content": "brackets",
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"content": "right?",
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"content": "What exactly do you mean by brackets?",
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"content": "$\\sqrt{(100-36)}$",
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"content": "**Katze**",
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"content": "this",
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"content": "idk how to put it under the roots without brackets",
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"content": "Yes, like that is fine to type into the calculator",
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"content": "alright",
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"content": "i understand now",
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"content": "thank you vulcan , dizaj and dldh6",
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"timestamp": "01/06/2023 09:38:07",
"content": "@Katze Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | eff4a0f9ede44fc4830b5cfd8b3cb499 |
200,575 | [
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] | help-9 | 88fe3f67b8cb49f89d0a82665dbfc143 |
200,576 | [
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] | help-9 | 5d0e5e4aabb4414486961dd182dedafb |
200,577 | [
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] | help-9 | 86d0a632ab3f4712ba2206eb11bc556a |
200,578 | [
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"content": "@MαяιA Has your question been resolved?",
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] | help-9 | 84961864dde34f6fa0518c432434708a |
200,579 | [
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"author_id": 297486397353361400,
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"content": "Could someone explain how you use it, then i can try apply it to this example",
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"id": 1060957401395777500,
"author_id": 394938706760302600,
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"content": ",w taylor cosh(x)",
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"timestamp": "01/06/2023 11:25:59",
"content": "Results provided by WolframAlpha",
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"content": "do u know the expansion",
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},
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"id": 1060957422774145200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/06/2023 11:26:01",
"content": "use that",
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},
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"author_id": 987071591169011700,
"author_name": "kiritoholy",
"timestamp": "01/06/2023 11:26:05",
"content": "of cosh",
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},
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"id": 1060957489480343700,
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"author_name": "kiritoholy",
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"content": "just put that",
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"content": "like am i just expected to know thats the expansion for cosh in an exam",
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"author_id": 297486397353361400,
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"timestamp": "01/06/2023 11:26:40",
"content": "Or is there a way this is obtained?",
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"timestamp": "01/06/2023 11:26:50",
"content": "put that expansion",
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},
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"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/06/2023 11:26:56",
"content": "General formula or the definition of cosh (I think)",
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"timestamp": "01/06/2023 11:27:04",
"content": "in left hand side",
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"content": "1+x^2/2 = 1+4x^2",
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"timestamp": "01/06/2023 11:27:49",
"content": "like this",
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},
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"author_id": 987071591169011700,
"author_name": "kiritoholy",
"timestamp": "01/06/2023 11:27:56",
"content": "and then oslve for x",
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"timestamp": "01/06/2023 11:27:59",
"content": "oh i see",
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"timestamp": "01/06/2023 11:28:04",
"content": "yeah then you just solve for x",
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"content": "yup",
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"timestamp": "01/06/2023 11:28:16",
"content": "but rememebr",
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"author_name": "DannyV-LFC",
"timestamp": "01/06/2023 11:28:23",
"content": "So i should just try to memorise the different taylor exapnsions for hyperbolic functions",
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"timestamp": "01/06/2023 11:28:29",
"content": "no",
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"timestamp": "01/06/2023 11:28:40",
"content": "u have to remember taylor series",
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"timestamp": "01/06/2023 11:28:50",
"content": "wait lemme send u a general form",
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"timestamp": "01/06/2023 11:29:01",
"content": "of maclauren series",
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"id": 1060958601692315800,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "01/06/2023 11:30:42",
"content": "For cosh(x) it is rather easy to calculate taylor series. because cosh'(x) = sinh(x) and cos'(x) = sinh'(x). So it is either 0 or 1 as a coeffizient",
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"author_name": "A Lonely Bean",
"timestamp": "01/06/2023 11:31:15",
"content": "Or derive it",
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"timestamp": "01/06/2023 11:31:29",
"content": "Ohhhhhh",
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"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "01/06/2023 11:31:45",
"content": "Bean how’s life",
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"timestamp": "01/06/2023 11:31:51",
"content": "see this",
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"id": 1060958910254698500,
"author_id": 987071591169011700,
"author_name": "kiritoholy",
"timestamp": "01/06/2023 11:31:55",
"content": "it will help u",
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"timestamp": "01/06/2023 11:31:59",
"content": "Yeahhh i get it",
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"author_name": "DannyV-LFC",
"timestamp": "01/06/2023 11:32:09",
"content": "This is super helpful",
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"author_name": "A Lonely Bean",
"timestamp": "01/06/2023 11:32:15",
"content": "Good what about yours?\nAlso, not a good place for casual talks",
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"timestamp": "01/06/2023 11:32:28",
"content": "Ok bean :stareFlushed:",
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"timestamp": "01/06/2023 11:32:30",
"content": "you are lonely",
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"id": 1060959081243877400,
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"timestamp": "01/06/2023 11:32:36",
"content": "bean",
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"id": 1060959125787394200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "01/06/2023 11:32:47",
"content": "I’m beans friend",
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"id": 1060959151271989200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "01/06/2023 11:32:53",
"content": "Isok",
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"author_id": 297486397353361400,
"author_name": "DannyV-LFC",
"timestamp": "01/06/2023 11:32:53",
"content": "thanks for the help @kiritoholy @Kohlemaennchen",
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"timestamp": "01/06/2023 11:33:02",
"content": "np :).",
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"timestamp": "01/06/2023 11:33:10",
"content": "You're welcome",
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"timestamp": "01/06/2023 11:33:14",
"content": ".close",
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"timestamp": "01/06/2023 11:33:15",
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] | help-9 | 1bab339c9a084ac6bd4b500f97c45a91 |
200,580 | [
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"content": "Pinned a message.",
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"author_name": "tobi.",
"timestamp": "01/06/2023 11:54:35",
"content": "do you know what g o f means",
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"timestamp": "01/06/2023 11:54:51",
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"author_name": "tobi.",
"timestamp": "01/06/2023 11:55:00",
"content": "then plug it in",
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"author_name": "Beepze",
"timestamp": "01/06/2023 11:55:05",
"content": "we put f(x) inside g",
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"timestamp": "01/06/2023 11:55:19",
"content": "ok so g(4)",
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"author_name": "Beepze",
"timestamp": "01/06/2023 11:55:22",
"content": "Oh",
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"id": 1060964811715903600,
"author_id": 162890440276836350,
"author_name": "Beepze",
"timestamp": "01/06/2023 11:55:22",
"content": "ok",
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"id": 1060964819081109500,
"author_id": 162890440276836350,
"author_name": "Beepze",
"timestamp": "01/06/2023 11:55:24",
"content": "thanks",
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},
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"author_name": "Beepze",
"timestamp": "01/06/2023 11:55:26",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 751c8c27c0004db6bf2e2318c297cdca |
200,581 | [
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"timestamp": "01/06/2023 12:18:56",
"content": "Hello guys, can somebody please help me understand what i am doing wrong?. I get 2/3pi for the second part while gets 5/3pi. ( since i get -sqrt3 as the tangent the angle could have been both 2/3pi or 5/3pi... how do i know which one to use? )",
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"timestamp": "01/06/2023 12:21:21",
"content": "wait i am dumb",
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] | help-9 | a2991cf9efcc4588ac834aa76649b930 |
200,582 | [
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"id": 1060976129659392100,
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"author_name": "trayan_b",
"timestamp": "01/06/2023 12:40:21",
"content": "there is a lemma in my course which says \"If A is an infinite subset of the natural numbers, then A is countably infinite\"",
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"timestamp": "01/06/2023 12:40:40",
"content": "but i'm not sure if i can use it since the set given is a general set X",
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"id": 1060976319418081300,
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"timestamp": "01/06/2023 12:41:06",
"content": "but my question is: How would you prove this by showing there's a bijection between A and the naturals?",
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"id": 1060976461776965800,
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"timestamp": "01/06/2023 12:41:40",
"content": "I don't know what kind of elements X contains, so I can't think of what function to define",
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"id": 1060978810645909500,
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"author_name": "tushar",
"timestamp": "01/06/2023 12:51:00",
"content": "$X \\approx \\mathbb{N}$, so use the Well-Ordering Property of $\\mathbb{N}$ to define a bijection $A \\to \\mathbb{N}$",
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"id": 1060979091613958300,
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"timestamp": "01/06/2023 12:52:07",
"content": "**tushar**",
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] | help-9 | eb355e9569fc411bbb51f4d49445a170 |
200,583 | [
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] | help-9 | 8b73958ed57a45ddaf31ecd3b330f9ba |
200,584 | [
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"timestamp": "01/06/2023 14:01:15",
"content": "when i integrate both of these functions",
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"content": "how do i find the c value?",
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"timestamp": "01/06/2023 14:12:09",
"content": "@Helpers",
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"content": "what is c value",
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"timestamp": "01/06/2023 14:21:25",
"content": "constant",
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"timestamp": "01/06/2023 14:21:37",
"content": "aint these definite integrals tho",
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"content": "the cdf is not in terms of a definite integral",
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"timestamp": "01/06/2023 14:22:10",
"content": "i believe",
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"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/06/2023 14:23:58",
"content": "As in aren’t you doing something like $\\int_{-\\infty}^{x} f(t) dt$ for that integral? At least from the little stats I know that’s how it goes",
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"content": "**chartbit**",
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"content": "thats what i also found googling",
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"content": "why we using - infinity",
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"timestamp": "01/06/2023 14:24:42",
"content": "for one of the limits",
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"content": "Which books that btw :thinkies:",
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"timestamp": "01/06/2023 14:25:01",
"content": "edexcel further stats 2",
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"timestamp": "01/06/2023 14:25:54",
"content": "As you want the events “up until” that time, that should represent P(X<x) right?",
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"timestamp": "01/06/2023 14:26:26",
"content": "Ah yea don’t have that in my archive, because stats :catThimc:",
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"timestamp": "01/06/2023 14:27:43",
"content": "Of course in this case you can split the integral for the various cases",
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"content": "But then the stats book might do it a little bit different haha",
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"timestamp": "01/06/2023 14:28:35",
"content": "lets answer it together from the beginning since im getting confused",
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"timestamp": "01/06/2023 14:29:26",
"content": "Cool, so for this one I have the definition as per here for the CDF",
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"timestamp": "01/06/2023 14:29:45",
"content": "If x<=1 then you’re integrating zero so just get zero",
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"content": "If $x$ is between 1 and 2 you basically collapse to the integral $\\int_{1}^{x} \\frac{1}{5} dt$",
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"content": "**chartbit**",
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"timestamp": "01/06/2023 14:32:12",
"content": "wait so first of all how do u find the CDf of this ?",
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"content": "When $x$ is between 2 and 4 you get $\\int_{1}^{2} \\frac{1}{5} dt + \\int_{2}^{x} \\frac{t-1}{5} dt$",
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"timestamp": "01/06/2023 14:32:45",
"content": "**chartbit**",
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"content": "And when x is greater than 4 you should end up getting 1, and esp if you put 4 into the previous",
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"content": "wait hold up",
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"timestamp": "01/06/2023 14:33:45",
"content": "so for this",
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"timestamp": "01/06/2023 14:33:49",
"content": "im kinda confused what ur doing",
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"timestamp": "01/06/2023 14:34:28",
"content": "As in the CDF by itself? Well I don’t think by itself it’ll form a PDF if you ignore the other bits",
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"timestamp": "01/06/2023 14:35:02",
"content": "I actually have very little stats saved in my archive, fancy that :catThimc:",
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"timestamp": "01/06/2023 14:35:03",
"content": "im still confused on how u convert that into a cdf",
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"timestamp": "01/06/2023 14:35:16",
"content": "so u integrate",
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"content": "obv",
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"content": "thats 1/5 x",
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"timestamp": "01/06/2023 14:35:30",
"content": "then wat do u do",
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"content": "Alright you’ll have to give me a while to get sat down, I’m on mobile atm",
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"timestamp": "01/06/2023 14:36:22",
"content": "gimme a sec",
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"timestamp": "01/06/2023 14:36:25",
"content": "imma watch a vid",
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"timestamp": "01/06/2023 14:36:26",
"content": "as well",
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"timestamp": "01/06/2023 14:36:28",
"content": "in the mean time",
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"timestamp": "01/06/2023 14:36:29",
"content": "lol",
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"author_name": "Epsilia aka Mellow",
"timestamp": "01/06/2023 14:38:05",
"content": "Can I help ?",
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"id": 1061005781123739600,
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"author_name": "chartbit",
"timestamp": "01/06/2023 14:38:10",
"content": "Oh damn, I somehow had a link still saved and accessible here :KEK:",
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"timestamp": "01/06/2023 14:38:25",
"content": "Yep sure, please do",
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"timestamp": "01/06/2023 14:38:38",
"content": "So what do you call a \"c value\" ?",
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"timestamp": "01/06/2023 14:38:45",
"content": "Anyways this is why I said that “by itself it doesn’t form a CDF”",
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"content": "You say it's a constant",
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"timestamp": "01/06/2023 14:38:55",
"content": "So an integration constant I presume ?",
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"content": "Okayyy",
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"timestamp": "01/06/2023 14:39:17",
"content": "Yeah that’s the confusion",
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"content": "I generally work off this definition here as the CDF from a PDF",
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"content": "When do you get a constant of integration though ?",
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"timestamp": "01/06/2023 14:40:34",
"content": "When you look at anti-derivatives, in order to get all the possible anti-derivatives of a function, right ?",
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"content": "Here you integrate on an interval though",
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"content": "So there's no constant of integration when you integrate on an interval",
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"content": "Do you know why ?",
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"timestamp": "01/06/2023 14:42:20",
"content": "Don't worry you can say no, I'll explain it to you",
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"timestamp": "01/06/2023 14:44:06",
"content": "Okay well at least that has been answered :KEK:",
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"content": ":KEK: @SA2017",
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"timestamp": "01/06/2023 14:45:51",
"content": "just watching a vid rn",
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"timestamp": "01/06/2023 14:46:10",
"content": "It would have been faster to just ask me for the reason behind tho",
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"timestamp": "01/06/2023 14:46:56",
"content": ":pandaHmm:",
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"timestamp": "01/06/2023 14:47:41",
"content": "Should I explain it ?",
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"timestamp": "01/06/2023 14:48:16",
"content": "You can explain it to me, and I’ll see whether I agree with you :catGiggle:",
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"timestamp": "01/06/2023 14:48:44",
"content": "Oh you're there for helping right",
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"timestamp": "01/06/2023 14:48:58",
"content": "Welp",
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"timestamp": "01/06/2023 14:49:03",
"content": "Hmmm a test I see",
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"timestamp": "01/06/2023 14:49:28",
"content": "Okay so",
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"timestamp": "01/06/2023 14:56:04",
"content": "By the fundamental theorem of analysis, we can use anti-derivatives in order to express explicitly (if the theorem is appliable) a bounded integral. Integral bounds going to infinity can be taken simply as a limit of a bound, so we just go back to that bounded integral idea even in these \"undefined integrals\" as we might call them.\nNow that this is clear, when you use that fundamental theorem of analysis, you end up replacing all of the possible anti-derivatives at one value, minus the same anti-derivatives at an other value. All the anti-derivatives only differ by a certain constant, but since it's the same set of anti-derivatives that you use for one value and the other in the theorem itself, AND since you subtract both of these quantities (based of the theorem once again), you end up cancelling the constants in the end. So writing them or not literally don't change anything. So you might as well just not write it, which is why we generally don't write it when it's about bounded integrals",
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"timestamp": "01/06/2023 14:57:28",
"content": "But you could, I guess, it just wouldn't change much",
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"timestamp": "01/06/2023 14:58:00",
"content": "As you would realise it, if you don't forget to distribute the minus sign properly :bhappy:",
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"author_name": "chartbit",
"timestamp": "01/06/2023 14:59:17",
"content": "Well that is pretty much true, but I don’t think the answer to the question :thinkies: I think I see exactly what SA was thinking",
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"timestamp": "01/06/2023 15:00:11",
"content": "Ow also we could go to vc in order to talk about it",
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"timestamp": "01/06/2023 15:00:19",
"content": "That might be easier for you knowing you are on phone",
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"timestamp": "01/06/2023 15:01:16",
"content": "Taking the PDF to be f and CDF to be F, you know that F’=f, so I think the thought was that “…so F(x) = “anti derivative of f(x)” + “constant of integration”",
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"timestamp": "01/06/2023 15:02:15",
"content": "Don’t do voice chats soz :catThimc:",
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"id": 1061012339165507600,
"author_id": 212562859262083070,
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"timestamp": "01/06/2023 15:04:14",
"content": "He told us about \"finding c\"",
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"author_id": 212562859262083070,
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"timestamp": "01/06/2023 15:04:38",
"content": "So I'm like",
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"timestamp": "01/06/2023 15:04:40",
"content": "Hmmmmm",
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"timestamp": "01/06/2023 15:04:56",
"content": "If you stay on a generality and then it falls into c being useless in the end, then you show that finding c isn't really what you need to do there in the end in order to find that",
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"timestamp": "01/06/2023 15:09:56",
"content": "@SA2017 Has your question been resolved?",
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"timestamp": "01/06/2023 15:40:03",
"content": "@SA2017 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | c2877c9ac608416ba072f816ee63be98 |
200,585 | [
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"content": "Available help channel!",
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"content": "How?",
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"content": "@Melatonin Has your question been resolved?",
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"author_id": 733883055621668900,
"author_name": "Melatonin",
"timestamp": "01/06/2023 16:12:15",
"content": "@Helpers",
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"mentions": [],
"reference": null
},
{
"id": 1061037007498903700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 16:42:15",
"content": "@Melatonin Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 733883055621668900,
"name": "Melatonin",
"discriminator": "4121",
"nickname": "Melatonin",
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},
{
"id": 1061042917910790300,
"author_id": 733883055621668900,
"author_name": "Melatonin",
"timestamp": "01/06/2023 17:05:44",
"content": ".close",
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"reference": null
},
{
"id": 1061042920242823200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 17:05:45",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | b567b3e6a4944bfa9d6cfe9c4e7ec3d9 |
200,586 | [
{
"id": 1061043172786049200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 17:06:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061043297122013300,
"author_id": 140074046460133380,
"author_name": "Corylus",
"timestamp": "01/06/2023 17:07:15",
"content": "given a 3d shape, more specifically one with 60 sides https://en.wikipedia.org/wiki/Pentakis_dodecahedron\nwith the center of the 3d shape at the 0,0,0 coordinate and the center point of some but not all of its faces known in order to orient it in a specific direction in space\nhow can one find the center-of-face coordinate of an arbitrary face whos coordinate is not known",
"attachments": [],
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"reference": null
},
{
"id": 1061043299718267000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 17:07:15",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1061043297122013300,
"channelId": 486844875632017400,
"guildId": null
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},
{
"id": 1061043465359740900,
"author_id": 140074046460133380,
"author_name": "Corylus",
"timestamp": "01/06/2023 17:07:55",
"content": "and a second part, how do you translate that knowledge to a 2d map of the shape, more specifically this map https://upload.wikimedia.org/wikipedia/commons/8/88/Pentakisdodecahedron_net.png",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061043603624955900,
"author_id": 140074046460133380,
"author_name": "Corylus",
"timestamp": "01/06/2023 17:08:28",
"content": "in such a manner that given a coordinate you can say here, its this triangle right there",
"attachments": [],
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},
{
"id": 1061047379316449400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 17:23:28",
"content": "@Corylus Has your question been resolved?",
"attachments": [],
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"name": "Corylus",
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"id": 1061055370916802700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 17:55:13",
"content": "@Corylus Has your question been resolved?",
"attachments": [],
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"id": 1061070505706279000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 18:55:22",
"content": "@Corylus Has your question been resolved?",
"attachments": [],
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"id": 1061100730984955900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 20:55:28",
"content": "@Corylus Has your question been resolved?",
"attachments": [],
"mentions": [
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"id": 140074046460133380,
"name": "Corylus",
"discriminator": "8963",
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{
"id": 1061123413659365500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 22:25:36",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | f8097b78fc20412db2e5ae8824e15662 |
200,587 | [
{
"id": 1035276232448811000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 15:38:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035280288156229800,
"author_id": 989579809673859100,
"author_name": "Khali Della3a",
"timestamp": "10/27/2022 15:54:15",
"content": "is this equals 6 or 0 ?",
"attachments": [
{
"id": 1035280287619371000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035280287619371038/sqrt.PNG",
"fileName": "sqrt.PNG",
"fileSizeBytes": 15190
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},
{
"id": 1035280291109032000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 15:54:15",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1035280288156229800,
"channelId": 486844875632017400,
"guildId": null
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},
{
"id": 1035280422352990300,
"author_id": 989579809673859100,
"author_name": "Khali Della3a",
"timestamp": "10/27/2022 15:54:47",
"content": "this is a just a bet with my friend",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035280442955403400,
"author_id": 989579809673859100,
"author_name": "Khali Della3a",
"timestamp": "10/27/2022 15:54:52",
"content": "he said 6",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035280450979115000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/27/2022 15:54:54",
"content": "neither",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035280467420786800,
"author_id": 989579809673859100,
"author_name": "Khali Della3a",
"timestamp": "10/27/2022 15:54:58",
"content": "i said 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035280489734488000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/27/2022 15:55:03",
"content": ",calc (2 * sqrt(3) - 6)/sqrt(6)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035280492192337900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/27/2022 15:55:03",
"content": "Result:\n```\n-1.0352761804101\n```",
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},
{
"id": 1035280519958638700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/27/2022 15:55:10",
"content": "this equals neither 6 nor 0, you are both wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035280620408029300,
"author_id": 989579809673859100,
"author_name": "Khali Della3a",
"timestamp": "10/27/2022 15:55:34",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035281501975228500,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/27/2022 15:59:04",
"content": "root2 - root6",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035284395856240600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 16:10:34",
"content": "@Khali Della3a Has your question been resolved?",
"attachments": [],
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{
"id": 1035284517579149300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 16:11:03",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 8da81e37376447a3ab46b1e09cb418c1 |
200,588 | [
{
"id": 1061123665514725500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 22:26:36",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061125799123624100,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:35:05",
"content": "hey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061125801585692700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 22:35:05",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1061125799123624100,
"channelId": 486844875632017400,
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"id": 1061125828982874100,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:35:12",
"content": "",
"attachments": [
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{
"id": 1061125838164217900,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:35:14",
"content": "a is 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061125855176294400,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:35:18",
"content": "help second part",
"attachments": [],
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"reference": null
},
{
"id": 1061125943034392700,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:35:39",
"content": "easy?",
"attachments": [],
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"reference": null
},
{
"id": 1061125992409747600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:35:51",
"content": "He's trolling",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126074236407800,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:36:10",
"content": "how is it easy bro",
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"reference": null
},
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"id": 1061126140888100900,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:36:26",
"content": "lmao",
"attachments": [],
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},
{
"id": 1061126214892388400,
"author_id": 474349617212031000,
"author_name": "tox",
"timestamp": "01/06/2023 22:36:44",
"content": "ok yeah obviously just trolling tried to give them a chance lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126308605739100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:37:06",
"content": "Yeah he closed like 10 channels",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126366139002900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:37:20",
"content": "Then proceeded to act like nothing happened",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126402629451800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:37:29",
"content": ":KEKW:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126585874387100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:38:12",
"content": "Anyways",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126597626843300,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:38:15",
"content": "sheeesh he straight up banned lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126616601870500,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:38:20",
"content": "thought he got timed out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126638315765800,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/06/2023 22:38:25",
"content": "get rekt",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126657118830700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:38:29",
"content": "Yeah no place for the trolls",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126717130944500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:38:44",
"content": "Watch him create an alt and join to troll again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126783795208300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:39:00",
"content": "Anyways",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126825616609400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:39:10",
"content": "Lemme bring your question here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126843081691100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:39:14",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1061125828764778506/FEC23C63-F3CC-4C3C-BE57-F170AE6CEA87.jpeg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061126958613798900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/06/2023 22:39:41",
"content": "What's |2-x| if x > 2?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061127696278622200,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:42:37",
"content": "lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061127748212494500,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:42:49",
"content": "Damn",
"attachments": [],
"mentions": [
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"id": 1000057838007226500,
"name": "VulcanOne",
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],
"reference": null
},
{
"id": 1061127838964645900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:43:11",
"content": "Most heart breaking was Lex's channel :sobroll:",
"attachments": [],
"mentions": [
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"name": "Springsskateboard",
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],
"reference": null
},
{
"id": 1061127878399512700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:43:21",
"content": "LEXQA",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061127887115255900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:43:23",
"content": "dang",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061127890747527300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:43:23",
"content": "Was at the last second of reopening it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061127928873754600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:43:33",
"content": "Then it got hidden",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061127938268999800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:43:35",
"content": "fuuu",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061127947848794100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/06/2023 22:43:37",
"content": ":pensiveBlobThumbsUp:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061127950377951400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:43:38",
"content": "gg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061128330369306600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:45:08",
"content": "Let $y= e^{\\abs{2-x}}\\\\\nx>a \\to \\abs{2-x}= x-2$",
"attachments": [],
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"reference": null
},
{
"id": 1061128340699873400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/06/2023 22:45:11",
"content": "**Springsskateboard**",
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"id": 1061128369728667600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:45:18",
"content": "aye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061128400472903700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:45:25",
"content": "yo @sunnnnnnn",
"attachments": [],
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"id": 1061128430260859000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "01/06/2023 22:45:32",
"content": "u got the above part",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1061130414137286800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 22:53:25",
"content": "@sunnnnnnn Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"timestamp": "01/06/2023 23:24:57",
"content": "@sunnnnnnn Has your question been resolved?",
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"timestamp": "01/06/2023 23:54:58",
"content": "Channel closed",
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] | help-9 | 8ee1bd42923244a7ad4f113b4802d004 |
200,589 | [
{
"id": 1061164331326263400,
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"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 01:08:12",
"content": "Available help channel!",
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},
{
"id": 1061168376128479400,
"author_id": 243653270399090700,
"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 01:24:16",
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"content": "Pinned a message.",
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"author_id": 243653270399090700,
"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 01:24:17",
"content": "i forgot how i would do (c)",
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{
"id": 1061168498170134500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/07/2023 01:24:45",
"content": "P(A | B) = P(A & B)/P(B)",
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},
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"id": 1061168867612823600,
"author_id": 243653270399090700,
"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 01:26:13",
"content": "so 1/8x1/2 over 1/8?",
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"id": 1061169396342603900,
"author_id": 243653270399090700,
"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 01:28:19",
"content": ".close",
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},
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"id": 1061169399169568900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 01:28:20",
"content": "Channel closed",
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}
] | help-9 | 8942d7aee152466b8b0aede79ae76f6a |
200,590 | [
{
"id": 1061170745742458900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/07/2023 01:33:41",
"content": ".reopen",
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"id": 1061170750242967700,
"author_id": 805217272087838700,
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"timestamp": "01/07/2023 01:33:42",
"content": "✅",
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"id": 1061170763773780000,
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"author_name": "Ann",
"timestamp": "01/07/2023 01:33:45",
"content": "@bob.the.spooder.man no",
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{
"id": 1061170845436891100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/07/2023 01:34:05",
"content": "shame on you for assuming P(A & B) = P(A) * P(B) for any two events A and B.",
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{
"id": 1061170949057171600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/07/2023 01:34:29",
"content": "in your case, A is the event X < -2 and B is the event X ≤ -2. their intersection is equal to A",
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"id": 1061174521756930200,
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"timestamp": "01/07/2023 01:48:41",
"content": "@bob.the.spooder.man Has your question been resolved?",
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"timestamp": "01/07/2023 02:03:42",
"content": "Channel closed",
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}
] | help-9 | bcb4bb86410946599e789e9aa89e295d |
200,591 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 02:04:42",
"content": "Available help channel!",
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"id": 1061191759708823700,
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"content": "Pinned a message.",
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"id": 1061191980673142800,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 02:58:04",
"content": "No workings since no idea how to even begin",
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},
{
"id": 1061192123472433200,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 02:58:38",
"content": "log 3 on both sides, no?",
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"id": 1061193189832261600,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:02:52",
"content": "Hmm log ruins all the intuitiveness in maths",
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"id": 1061193415234158600,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:03:46",
"content": "Through induction show that 2^(2n-1) + 3^(2n-1) is always divisible by 5",
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{
"id": 1061193485555867600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/07/2023 03:04:02",
"content": "What",
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"id": 1061193697343066100,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 03:04:53",
"content": "pretty sure no other way around without logs",
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"id": 1061193778792255600,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 03:05:12",
"content": "is this number theory or?",
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"id": 1061193892638232600,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:05:40",
"content": "I dont even know what number theory is",
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{
"id": 1061193932828069900,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:05:49",
"content": "We r doing proof by induction",
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{
"id": 1061194018588983400,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:06:10",
"content": "Showing that it is true for n and n+1 and such for all n",
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{
"id": 1061194183425130500,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 03:06:49",
"content": "soooo what are you exactly asking here, the screenshotted pic or the induction problem one",
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{
"id": 1061194478523797500,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:07:59",
"content": "Well the induction problem got me into the screenshot one but then a dead ends",
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{
"id": 1061194522551402500,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:08:10",
"content": "So back to the induction problem",
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{
"id": 1061194523797106700,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 03:08:10",
"content": "oooo",
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{
"id": 1061194751942074400,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 03:09:04",
"content": "if u use n+1 instead of n it will be 2^(2n+1) + 3^(2n+1) right",
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"id": 1061194830300053500,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:09:23",
"content": "Umm no?",
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"id": 1061194906552504300,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 03:09:41",
"content": "2(n+1)-1 = 2n+2-1=2n+1",
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{
"id": 1061194916128104400,
"author_id": 729983808568295400,
"author_name": "Shah",
"timestamp": "01/07/2023 03:09:44",
"content": "Oh yes thank u im brain ded",
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"id": 1061194966988230700,
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"author_name": "Shah",
"timestamp": "01/07/2023 03:09:56",
"content": ".close",
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},
{
"id": 1061194969890701300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 03:09:56",
"content": "Channel closed",
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}
] | help-9 | b32f035202fb4a31b0cdaec6aff3115f |
200,592 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 03:10:57",
"content": "Available help channel!",
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},
{
"id": 1061216804162240600,
"author_id": 805217272087838700,
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"timestamp": "01/07/2023 04:36:42",
"content": "Pinned a message.",
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{
"id": 1061217682789240800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:40:12",
"content": "Just prove that none of them are 0",
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{
"id": 1061217719447453800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:40:20",
"content": "Or at least that three of them aren't 0",
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"id": 1061217972271710200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:41:21",
"content": "What would the third one be?",
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{
"id": 1061218119105912800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:41:56",
"content": "Oh oops I counted 4",
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{
"id": 1061218142547882000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:42:01",
"content": "Just prove that none of them are 0",
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},
{
"id": 1061218484190711800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:43:23",
"content": "Not sure what you mean here",
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"id": 1061218618924355600,
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"author_name": "SWR",
"timestamp": "01/07/2023 04:43:55",
"content": "yeah",
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"id": 1061218699639537800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:44:14",
"content": "If you show all three are non-zero, then that would prove it",
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"id": 1061219077646995500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:45:44",
"content": "oh derp non-negative",
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"id": 1061219105849479200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:45:51",
"content": "I thought that mean positive",
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},
{
"id": 1061219115672535000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:45:53",
"content": "Sorry it's late",
"attachments": [],
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},
{
"id": 1061219156508287000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:46:03",
"content": "Then yeah this is gonna be true no matter what the numbers are",
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},
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"id": 1061219284694605800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:46:33",
"content": "But do you know why this is?",
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"id": 1061219588295106600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:47:46",
"content": "Ah i misread one of those lines",
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},
{
"id": 1061219617407762400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:47:53",
"content": "Then yeah, perfectly proven",
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},
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"id": 1061219648827306100,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:48:00",
"content": "Dang this one seems hard",
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{
"id": 1061219686643155000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:48:09",
"content": "Hard to prove an irrational exponent is irrational",
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},
{
"id": 1061220329843867600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:50:43",
"content": "I have an example",
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},
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"id": 1061220677014786000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:52:05",
"content": "Here is your hint: https://www.southalabama.edu/mathstat/personal_pages/feldvoss/logintirrat.pdf",
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},
{
"id": 1061221496774742000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:55:21",
"content": "ah",
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},
{
"id": 1061221515640721400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:55:25",
"content": "ln(2) is irrational",
"attachments": [],
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"reference": null
},
{
"id": 1061221522318032900,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:55:27",
"content": "so is e",
"attachments": [],
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},
{
"id": 1061222055812534400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:57:34",
"content": "those are your hints",
"attachments": [],
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},
{
"id": 1061222066621259900,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 04:57:37",
"content": "use them wisely",
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},
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"id": 1061223082678812700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 05:01:39",
"content": "ln is natural log, not log10",
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"id": 1061223172696977500,
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"timestamp": "01/07/2023 05:02:00",
"content": "nah 10 is unnatural",
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},
{
"id": 1061223201138561000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 05:02:07",
"content": "ln is log in base _e_",
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{
"id": 1061223507872206800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 05:03:20",
"content": "off to bed",
"attachments": [],
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},
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"id": 1061223510351024300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 05:03:21",
"content": "gl",
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"content": "Channel closed",
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}
] | help-9 | 3c9fe0b9381843f4b5bc3b77ac973c4b |
200,593 | [
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"timestamp": "01/07/2023 05:08:34",
"content": "Available help channel!",
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"id": 1061230211678609400,
"author_id": 914644031097688000,
"author_name": "yotta",
"timestamp": "01/07/2023 05:29:59",
"content": "Any ideas?",
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"content": ":bleak:",
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"timestamp": "01/07/2023 05:30:38",
"content": "I converted the rhs to",
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"timestamp": "01/07/2023 05:33:13",
"content": "My half empty attempt so far",
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"timestamp": "01/07/2023 05:48:13",
"content": "@yotta Has your question been resolved?",
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"timestamp": "01/07/2023 06:18:21",
"content": "@yotta Has your question been resolved?",
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"timestamp": "01/07/2023 06:48:22",
"content": "Channel closed",
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] | help-9 | 34dc890725034c5ea3fdfb522c47e573 |
200,594 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 06:49:22",
"content": "Available help channel!",
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{
"id": 1061252070147117200,
"author_id": 882848553419030500,
"author_name": "₮ⱧɆ ₴Ⱡ₳ɎɆⱤ Ø₣ Đł₴₵ØⱤĐ",
"timestamp": "01/07/2023 06:56:50",
"content": "1. Where will the hand of a clock stop if it\n (a) starts at 12 and makes 1\n4\nof a revolution, clockwise?\n (b) starts at 2 and makes 11\n2\nof a revolution, anticlockwise?",
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"content": "Pinned a message.",
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"timestamp": "01/07/2023 07:00:09",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 7fa785193456451dbd4f463cf899e549 |
200,595 | [
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"timestamp": "01/07/2023 07:00:18",
"content": "(Opened new one)",
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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"id": 1061255558629433300,
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"author_name": "ERFANIAN",
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"timestamp": "01/07/2023 07:10:43",
"content": "Pinned a message.",
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"author_name": "ERFANIAN",
"timestamp": "01/07/2023 07:10:47",
"content": "The first question is a partial derivative i think\nThe second one is for extrema point.\nBut they start with z instead of f(x,y)\nDoes that change anything about the question? Should i ignore the z and solve these normally?\nOr should i move it to the other side or something like that?",
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"id": 1061258721893818400,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/07/2023 07:23:16",
"content": "I think it does nothing, you can solve it normally like function of two variables x and y",
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"timestamp": "01/07/2023 07:27:58",
"content": "Thanks",
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"id": 1061259922240700400,
"author_id": 156817438174871550,
"author_name": "ERFANIAN",
"timestamp": "01/07/2023 07:28:02",
"content": ".close",
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"timestamp": "01/07/2023 07:28:03",
"content": "Channel closed",
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] | help-9 | 2fda9656af84400085b4a7bb36ea6a91 |
200,596 | [
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"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 07:29:03",
"content": "Available help channel!",
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{
"id": 1061263271681867800,
"author_id": 488982628578361340,
"author_name": "Isaac Lee",
"timestamp": "01/07/2023 07:41:21",
"content": "how does -4hr + hr turn into 3hr?",
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"timestamp": "01/07/2023 07:41:22",
"content": "Pinned a message.",
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"id": 1061263401935970300,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/07/2023 07:41:52",
"content": "hr(-4+1)",
"attachments": [],
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},
{
"id": 1061263402632233000,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/07/2023 07:41:52",
"content": "that's -3hr",
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"id": 1061263407002681500,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/07/2023 07:41:53",
"content": "-4 apples + 1 apple =",
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"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/07/2023 07:41:56",
"content": "=-3hr",
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{
"id": 1061263555971797000,
"author_id": 488982628578361340,
"author_name": "Isaac Lee",
"timestamp": "01/07/2023 07:42:29",
"content": "oh so hr counts as 1?",
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"id": 1061263586338549800,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/07/2023 07:42:36",
"content": "yup",
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"author_name": "Isaac Lee",
"timestamp": "01/07/2023 07:42:40",
"content": "ohhh tyty",
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"author_id": 488982628578361340,
"author_name": "Isaac Lee",
"timestamp": "01/07/2023 07:42:49",
"content": ".close",
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"id": 1061263644475797600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 07:42:50",
"content": "Channel closed",
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] | help-9 | b148501660d24b01952a0f43b0774111 |
200,597 | [
{
"id": 1061263731746689200,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/07/2023 07:43:10",
"content": "when the coefficient of a variable is not mentioned it is taken as 1",
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"timestamp": "01/07/2023 07:43:39",
"content": "oohhh okok i see tysm",
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"content": "Available help channel!",
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"id": 1061268954120724500,
"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:03:56",
"content": "help",
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"content": "Pinned a message.",
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"content": "e",
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"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:04:15",
"content": "Mensuration problem",
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"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:05:04",
"content": "Question : Show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume",
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"id": 1061269478794592400,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 08:06:01",
"content": "suppose the dimensions of the cuboid are a, b, and c",
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{
"id": 1061269512101572600,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/07/2023 08:06:09",
"content": "can u use volume of cuboid",
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"id": 1061269512235790500,
"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:06:09",
"content": "ok",
"attachments": [],
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"id": 1061269625213558900,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 08:06:36",
"content": "the areas of the floor and the walls would be something like ab, bc, and ac",
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"id": 1061269668691714000,
"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:06:46",
"content": "exercise is about surface are but previous one was about volume so probably yes",
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"timestamp": "01/07/2023 08:06:53",
"content": "yes",
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"id": 1061269784248987600,
"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:07:14",
"content": "Floor = ab\nwalls = bc and ac",
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"id": 1061269801135251500,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "01/07/2023 08:07:18",
"content": "multiply them and u get a^2 x b^2 x c^2 = (abc)^2, done",
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"id": 1061269816553517000,
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"author_name": "xHqrry",
"timestamp": "01/07/2023 08:07:21",
"content": "ye",
"attachments": [],
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"id": 1061270047240237200,
"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:08:16",
"content": ",, a^2 * b^2 * c^2 =(abc)^2",
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{
"id": 1061270110146396300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/07/2023 08:08:31",
"content": "**AmayChess**",
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"author_name": "xHqrry",
"timestamp": "01/07/2023 08:08:38",
"content": "mhmm",
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"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:09:05",
"content": "no i don't understand :sully:",
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"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:09:45",
"content": "volume is",
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"id": 1061270450228953100,
"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:09:52",
"content": ",, (lbh)",
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"author_name": "xHqrry",
"timestamp": "01/07/2023 08:10:05",
"content": "ok\nab x bc x ca = a x b x b x c x c x a\n= a x b x c x a x b x c\n= (abc)^2",
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"id": 1061270504297746400,
"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:10:05",
"content": "no sorry",
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"id": 1061270511767793800,
"author_id": 961224547305144300,
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"timestamp": "01/07/2023 08:10:07",
"content": "lbh",
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"id": 1061270548149186600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/07/2023 08:10:16",
"content": "**AmayChess**",
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"timestamp": "01/07/2023 08:10:22",
"content": "ye lbh right",
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"content": "in this case abc",
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"author_name": "xHqrry",
"timestamp": "01/07/2023 08:10:37",
"content": "cuz we supposed the dimensions are a by b by c",
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"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:10:41",
"content": "so why abc ^2",
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"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:10:46",
"content": "we have to show volume",
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"author_id": 961224547305144300,
"author_name": "MagnusCarlsen",
"timestamp": "01/07/2023 08:10:54",
"content": "it should be abc",
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"author_name": "xHqrry",
"timestamp": "01/07/2023 08:10:54",
"content": "square of volume right?",
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"content": "oh yeah my bad",
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"content": "@xHqrrythanks man",
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"timestamp": "01/07/2023 08:11:29",
"content": ".close",
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"content": "Channel closed",
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}
] | help-9 | 8363de63bfb54b4484fbd21931a1cf80 |
200,598 | [
{
"id": 1035284771556831400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 16:12:04",
"content": "Available help channel!",
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"id": 1035286128032493700,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:17:27",
"content": "Original function: f(x)=(3^x) - 3\n\nhow would you shifts the original function down 5 units.",
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"content": "Pinned a message.",
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"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/27/2022 16:18:17",
"content": "by adding -5",
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"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:18:41",
"content": "to 3^x-5??",
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"id": 1035286713699926100,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:19:47",
"content": "the new function would be written as g(x)=(3^x-5) - 3?",
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"id": 1035286948631285900,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/27/2022 16:20:43",
"content": "No",
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},
{
"id": 1035287013361995900,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/27/2022 16:20:58",
"content": "That wrong",
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"id": 1035287102134435800,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:21:19",
"content": "then how would it be written after being translated ?",
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"id": 1035287161559331000,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/27/2022 16:21:34",
"content": "f(x) - 5",
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},
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"id": 1035287211345715300,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:21:45",
"content": "oh",
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"id": 1035287248402403300,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:21:54",
"content": "thank-you",
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},
{
"id": 1035287615886348400,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/27/2022 16:23:22",
"content": "3^x - 8",
"attachments": [],
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},
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"id": 1035288072557973600,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:25:11",
"content": "how would you horizontally stretch f(x)= 6^x by a factor of 4??",
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"id": 1035288324119736300,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:26:11",
"content": "would it be f(x)= 6^(4x)",
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"id": 1035288396354044000,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/27/2022 16:26:28",
"content": "I think 6^(x/4)",
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"id": 1035288448036249600,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/27/2022 16:26:40",
"content": "vertically, you add or multiply. horizontally, you subtract or divide",
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"author_name": "Diesel",
"timestamp": "10/27/2022 16:26:47",
"content": "You really need to learn about transformations",
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"id": 1035288637232918700,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:27:25",
"content": "so it would be f(x)=6^(1/4x)??",
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"id": 1035288655289389200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/27/2022 16:27:30",
"content": "**luckydongdong**",
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"id": 1035288802559803400,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:28:05",
"content": "oki",
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"id": 1035289674035503100,
"author_id": 1030564627001655400,
"author_name": "Foxy2",
"timestamp": "10/27/2022 16:31:33",
"content": "The function f(x)=4^x is dilated to become f(x)=1/2 multiplied by 4^x\nwhat the specific effect on f(x)",
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"id": 1035293202179170400,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/27/2022 16:45:34",
"content": "Vertical compression",
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/27/2022 16:45:51",
"content": "And please look at graph transformations yourself",
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"timestamp": "10/27/2022 16:50:51",
"content": "@Foxy2 Has your question been resolved?",
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"timestamp": "10/27/2022 16:51:27",
"content": "Channel closed",
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}
] | help-9 | 4a44bce58c764ea58a19934f33fe14d4 |
200,599 | [
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"timestamp": "01/07/2023 08:20:36",
"content": "Can someone help me with this question please",
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"author_name": "Modus",
"timestamp": "01/07/2023 08:21:28",
"content": "have you calculated the determinant yet",
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"content": "i did this",
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"author_id": 913540108442042400,
"author_name": "ayushch80",
"timestamp": "01/07/2023 08:28:59",
"content": "$1\\left(\\left(y\\cross xy\\right)-\\left(zx\\cross z\\right)\\right) - 1\\left(\\left(x \\cross xy\\right) - \\left(yz \\cross x\\right)\\right) + 1\\left(\\left(x \\cross zx\\right) - \\left(yz \\cross y\\right)\\right)$",
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"timestamp": "01/07/2023 08:29:45",
"content": "**ayushch80**",
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"timestamp": "01/07/2023 08:30:44",
"content": "shouldn’t the fourth bracket be yz x z?",
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"author_name": "Modus",
"timestamp": "01/07/2023 08:38:56",
"content": "from 2nd line u can do:\nx(xz - xy + y^2 - z^2) + yz^2 - y^2z = \nx(x(z-y) - (z-y)(y+z)) + yz(z - y) = \nx(z-y)(x - (y+z)) + yz(z-y) = \n(z-y)(x(x - y - z) + yz) =\n(z-y)(x^2 - xy - xz + yz) =\n(z-y)(x(x-y) - z(x-y)) = \n(z-y)(x-y)(x-z)",
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"timestamp": "01/07/2023 08:45:44",
"content": "@ali062 Has your question been resolved?",
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"id": 1061280124948992000,
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"timestamp": "01/07/2023 08:48:19",
"content": "thank you",
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"id": 1061280137892606100,
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"timestamp": "01/07/2023 08:48:22",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | d06ea4b9f9074d71b8802ec6fe055537 |
200,600 | [
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"content": "Available help channel!",
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"id": 1061281913777684500,
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"content": "Pinned a message.",
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"timestamp": "01/07/2023 08:56:57",
"content": "I drew it but I didn't reach anything",
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"timestamp": "01/07/2023 09:01:24",
"content": "@Helpers",
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"content": ":opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry: :opencry:",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:15:46",
"content": "you know th radius, join A and O and get things you want",
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"content": "that doesn't make sense",
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"content": "wdym join them",
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"timestamp": "01/07/2023 09:17:39",
"content": "AE = 7.5, AO = 17, EO you can find, BE = 17 - EO",
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"timestamp": "01/07/2023 09:18:06",
"content": "how did u even get 7.5",
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"timestamp": "01/07/2023 09:18:16",
"content": "💀",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:18:25",
"content": "that's 1.5",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:18:32",
"content": "clearly not",
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"timestamp": "01/07/2023 09:18:56",
"content": "what's !",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:19:03",
"content": "and how did u get AO as 15",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:19:12",
"content": "you are building up numbers upon wrong numbers",
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"timestamp": "01/07/2023 09:19:13",
"content": "you mention that in your diagram",
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"timestamp": "01/07/2023 09:19:39",
"content": "show me where",
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"timestamp": "01/07/2023 09:19:45",
"content": ".close",
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"author_id": 598193416173518800,
"author_name": "tofu",
"timestamp": "01/07/2023 09:19:55",
"content": "u can't close a question that's not urs",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:19:56",
"content": "smh",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:20:01",
"content": "😩 ok so",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:20:08",
"content": "if u can't help then just dont",
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"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "01/07/2023 09:20:09",
"content": "in your diagram you wsaid",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:20:11",
"content": "AO = 17 right",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:20:16",
"content": "or BO = 17",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:20:17",
"content": "no",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:20:29",
"content": "BO is \nAO isn't",
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"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "01/07/2023 09:20:36",
"content": "you know how a circle works?",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:20:48",
"content": "i think ye",
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"timestamp": "01/07/2023 09:20:54",
"content": "then AO = BO",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:22:08",
"content": "@tofu you understand",
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"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "01/07/2023 09:22:08",
"content": "?",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:22:42",
"content": "ye",
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"timestamp": "01/07/2023 09:22:56",
"content": "and AE = 1.5",
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"timestamp": "01/07/2023 09:23:12",
"content": "AO = BO",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:23:16",
"content": "AE = 1.5",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:23:34",
"content": "use Pythagorean theorem AE^2 + EO^2 = AO^2",
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"timestamp": "01/07/2023 09:23:37",
"content": "find EO",
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:23:42",
"content": "17 - EO = x",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:25:14",
"content": "i got a weird number",
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"id": 1061289474434289800,
"author_id": 598193416173518800,
"author_name": "tofu",
"timestamp": "01/07/2023 09:25:28",
"content": "0.06630577812",
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"id": 1061289531527151700,
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"author_name": "Stotram",
"timestamp": "01/07/2023 09:25:42",
"content": "that weird number is correct, but a nicer answer comes if AE = 7.5 which i think it is",
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"id": 1061289607884456100,
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"author_name": "tofu",
"timestamp": "01/07/2023 09:26:00",
"content": "how is that weird number correct",
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"author_id": 598193416173518800,
"author_name": "tofu",
"timestamp": "01/07/2023 09:26:03",
"content": "its obviously wrong",
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"id": 1061290650684887000,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/07/2023 09:30:08",
"content": "its obviously that BE is smaller than AC, so none of the options can be true if AC = 3 is right. So there must be an error in your example.",
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"id": 1061291572043460600,
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"author_name": "tofu",
"timestamp": "01/07/2023 09:33:48",
"content": "I'll check",
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"timestamp": "01/07/2023 09:48:48",
"content": "@tofu Has your question been resolved?",
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"timestamp": "01/07/2023 09:50:34",
"content": "@ThM @Stotram question's fix is AC = 30",
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"author_name": "tofu",
"timestamp": "01/07/2023 09:50:38",
"content": "thank u for ur help",
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"timestamp": "01/07/2023 10:03:49",
"content": "Channel closed",
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] | help-9 | 073fb52e06a546a0840729071c9390cc |
200,601 | [
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"content": "Available help channel!",
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"author_id": 837395382111567900,
"author_name": "Tahseenzen",
"timestamp": "01/07/2023 10:24:48",
"content": "Just wanted to check my answer. What I got is 1936, is it alright?",
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"timestamp": "01/07/2023 10:39:48",
"content": "@Tahseenzen Has your question been resolved?",
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"timestamp": "01/07/2023 10:42:07",
"content": "@Helpers",
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"id": 1061313740676550700,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/07/2023 11:01:54",
"content": "it doubles in 20 days, 2^2 in 40 days, 2^3 in 60 days, ..., 2^12 in 240 days. 240 days are 8 month which means after that the germs are halved -> over all a factor of 2^11 all 8 months. it needs 9 cycles of 8 month for 6 years. -> After 6 years there are 2^99 times 2 (= starting 2 germs) = 2 ^ 100 germs after 6 years.",
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"author_name": "Tahseenzen",
"timestamp": "01/07/2023 11:05:00",
"content": "but it's given that it doubles in **20 days**\n\n\nSo, in the first day it would be 2 germs\nAnd after **20 days** it would be 2^2 = 4\nAnd then 2^3 or 8 in **40 days** right?",
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"timestamp": "01/07/2023 11:06:33",
"content": "so do i read the example. yes.",
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"timestamp": "01/07/2023 11:09:58",
"content": "if a is the initial value, you have 2aafter 20 days, 4a = 2^2a after 40 days, 8a = 2^3a after 60 days -> 2 ^12 a after 240 days. then they are halved -> 2^11a after 8 month.",
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"id": 1061316713251086300,
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"timestamp": "01/07/2023 11:13:42",
"content": "so you have a factor 2^11 every 8 month. -> you need 9 x 8 months for 6 years -> factor 2^99 at the initial value from 2 -> 2^100.",
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"timestamp": "01/07/2023 11:35:01",
"content": "@Tahseenzen Has your question been resolved?",
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"timestamp": "01/07/2023 11:35:31",
"content": "Channel closed",
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] | help-9 | 0183eab2d3f4464d8cfbf0f8feb5bf6a |
200,602 | [
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"content": "Available help channel!",
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"timestamp": "01/07/2023 12:17:59",
"content": "Tried converting it to a fraction",
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"timestamp": "01/07/2023 12:18:19",
"content": "Now im just stuck as hell",
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"timestamp": "01/07/2023 12:19:00",
"content": "So basically here you can see that they expressed y in terms of x and k",
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"timestamp": "01/07/2023 12:19:08",
"content": "Ok",
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"timestamp": "01/07/2023 12:19:11",
"content": ",rotate",
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"author_name": "TeXit",
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"content": "Ok so it would be",
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"content": "Nope",
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"content": "Solve essentially for y",
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"content": "Oh so i just remove x from the left",
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"content": "Gather all the terms that don't have y in a side",
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"content": "Ok ok",
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"content": "Okay",
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"content": "Oh theres still a ky",
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"content": "Yep you caught it quickly",
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"content": "How do j get y to the other side",
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"content": "Then id have to factorise",
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"timestamp": "01/07/2023 12:25:03",
"content": "What do you have so far?",
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"content": "Just this",
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"content": "And idk how to remove y",
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"content": "Hmm",
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"content": "Why don't you try moving ky to the side with the y?",
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"timestamp": "01/07/2023 12:26:42",
"content": "Yep yep",
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"content": "Now I think you can factor a y",
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"timestamp": "01/07/2023 12:26:56",
"content": "Factorise?",
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"content": "Ok nice",
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"timestamp": "01/07/2023 12:27:00",
"content": "Yep",
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"timestamp": "01/07/2023 12:27:48",
"content": "Ok ill start a fresh page and redo the question",
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"timestamp": "01/07/2023 12:28:25",
"content": "Okay",
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"timestamp": "01/07/2023 12:29:36",
"content": "Bit of a problem",
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"timestamp": "01/07/2023 12:29:44",
"content": "1-k",
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"author_name": "Bongo",
"timestamp": "01/07/2023 12:29:50",
"content": "Its supposed to be k-1",
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"timestamp": "01/07/2023 12:30:03",
"content": "You'll get it at the end",
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"timestamp": "01/07/2023 12:30:15",
"content": "Ok",
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"author_name": "HPH_Bulko",
"timestamp": "01/07/2023 12:30:28",
"content": "Did you find y?",
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"timestamp": "01/07/2023 12:30:43",
"content": "Got this",
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"timestamp": "01/07/2023 12:30:49",
"content": "Oo",
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"timestamp": "01/07/2023 12:30:53",
"content": "Small hint",
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"author_name": "VulcanOne",
"timestamp": "01/07/2023 12:31:04",
"content": "k - 1 = -1(1-k)",
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"timestamp": "01/07/2023 12:31:29",
"content": "Hmm",
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"timestamp": "01/07/2023 12:31:35",
"content": "Hol on",
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"timestamp": "01/07/2023 12:32:49",
"content": "Do you times it by -1",
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"timestamp": "01/07/2023 12:33:10",
"content": "What is multiplied by -1?",
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"timestamp": "01/07/2023 12:33:26",
"content": "The whole thing",
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"timestamp": "01/07/2023 12:33:45",
"content": "Oh you still have to factor a -1 from the top",
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"timestamp": "01/07/2023 12:33:55",
"content": "Oh",
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"timestamp": "01/07/2023 12:34:52",
"content": "Its 3 mark question",
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"timestamp": "01/07/2023 12:34:57",
"content": "It shouldnt be this long",
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"author_name": "Bongo",
"timestamp": "01/07/2023 12:34:59",
"content": "But oh wel",
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"author_name": "Bongo",
"timestamp": "01/07/2023 12:35:07",
"content": "Now do it times i by -1",
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"author_name": "VulcanOne",
"timestamp": "01/07/2023 12:36:15",
"content": "You factored a -1x(k+1) right?",
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"timestamp": "01/07/2023 12:36:19",
"content": "Yes",
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"author_name": "VulcanOne",
"timestamp": "01/07/2023 12:36:40",
"content": "And you factored a -1 from k-1",
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"timestamp": "01/07/2023 12:36:45",
"content": "Yes",
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"timestamp": "01/07/2023 12:36:52",
"content": "To get k+1",
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"timestamp": "01/07/2023 12:37:03",
"content": "-1x(k+1)",
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"timestamp": "01/07/2023 12:37:55",
"content": "No I meant from the bottom",
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"timestamp": "01/07/2023 12:38:02",
"content": "Oh",
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"author_name": "VulcanOne",
"timestamp": "01/07/2023 12:38:30",
"content": "1 - k = -1(k-1)",
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"content": "Ah that doesnt work",
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"content": "Expand the expression on the right",
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"content": "Its k-1",
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"author_name": "Bongo",
"timestamp": "01/07/2023 12:39:19",
"content": "Not the same as 1-k",
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"timestamp": "01/07/2023 12:54:20",
"content": "@Bongo Has your question been resolved?",
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"timestamp": "01/07/2023 12:54:27",
"content": "Yeah that's why there is a -1 before the (k-1)",
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"content": "-1(k-1) = -k +1 = 1-k",
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] | help-9 | 5a653ff669904645a5a1e42aa2156cc3 |
200,603 | [
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"content": "This true?",
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"content": "Are those true",
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"author_name": "Mortta",
"timestamp": "01/07/2023 14:14:34",
"content": "yep",
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"content": "And this is true",
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] | help-9 | cd9f04ec1cb940f09030b6508ca3059f |
200,604 | [
{
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"author_name": "Hashbrown",
"timestamp": "01/07/2023 15:05:24",
"content": "to find out if these series are convergent, can i just find the limit as n tends to inf for each of the sequences? so i guess what im asking is if a_n converges, does the series converge?",
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"author_name": "themateo713",
"timestamp": "01/07/2023 15:06:02",
"content": "It must go to 0, but that isn't enough",
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"author_name": "A Lonely Bean",
"timestamp": "01/07/2023 15:06:05",
"content": "Counterexample: a_n = 1/n",
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"timestamp": "01/07/2023 15:06:39",
"content": "No",
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"content": "Simpler counter-example to prove: a_n = ln(n+1) - ln(n)",
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"timestamp": "01/07/2023 15:07:31",
"content": "i mean in that case they dont converge to the same number, but they DO both converge right?",
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"content": "Simpler: 1, 1/2, 1/2, 1/3, 1/3, 1/3, ...",
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"content": "Can't get simpler than that imo",
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"timestamp": "01/07/2023 15:07:55",
"content": "In that case a_n converges whereas the infinite sum does not",
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"author_name": "Ann",
"timestamp": "01/07/2023 15:09:20",
"content": "i mean, finding the limit of a_n is still marginally useful. if you find that it isn't equal to zero (whether because it's equal to something else or fails to exist outright), you can say for sure that your series diverges.",
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"author_name": "Hashbrown",
"timestamp": "01/07/2023 15:10:49",
"content": "so if a_n is not a null sequence, then the series will always diverge?",
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"timestamp": "01/07/2023 15:11:42",
"content": "yes",
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"timestamp": "01/07/2023 15:11:47",
"content": "No. That's why we talk about the limit. 1/2^n is never 0, yet it's a convergent series (simple exercise)",
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"author_name": "Ann",
"timestamp": "01/07/2023 15:12:14",
"content": "i think hashbrown uses \"null sequence\" to mean \"sequence that approaches 0\"",
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"timestamp": "01/07/2023 15:12:22",
"content": "yes",
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"timestamp": "01/07/2023 15:12:30",
"content": "Alright then",
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"author_name": "Hashbrown",
"timestamp": "01/07/2023 15:13:57",
"content": "so basically, a_n being convergent to some limit is not enough to determine if the series converges, BUT if a_n is a null sequence then the series will converge?",
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"timestamp": "01/07/2023 15:14:16",
"content": "its that right, sorry some of these implications are messing with my brain haha",
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"content": "If an doesn't go to 0, it diverges\nIf to goes to 0, you need to look closer \nThat's why in exercises, 99.5% of series have their general term go to 0",
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"timestamp": "01/07/2023 15:20:26",
"content": "wait",
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"timestamp": "01/07/2023 15:20:45",
"content": "if a_n doesnt go to 0, cant it converge to another limit",
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"author_name": "chartbit",
"timestamp": "01/07/2023 15:21:22",
"content": "If it converges to another limit that’s not zero, or diverges, or goes to infinity etc your series doesn’t converge",
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"timestamp": "01/07/2023 15:21:31",
"content": "No. It's quite easy to see from the epsilon-N definition",
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"timestamp": "01/07/2023 15:21:36",
"content": "Simple exercise",
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"author_name": "chartbit",
"timestamp": "01/07/2023 15:23:19",
"content": "Plus proving “series converges -> sequence goes to zero” is an exercise in the subsequences of partial sums",
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"timestamp": "01/07/2023 15:24:22",
"content": "“Sequence goes to zero” is *necessary* but not *sufficient* for series convergence",
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"timestamp": "01/07/2023 15:28:19",
"content": "ahh okay i think i get it now",
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"content": "@Hashbrown Has your question been resolved?",
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] | help-9 | a1ba8d75dfef4a8fa5120a3a66ae8263 |
200,605 | [
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"author_name": "ayeesni",
"timestamp": "01/07/2023 16:16:02",
"content": "hello I'm confused on this algebra equation f(x+2) the function is f(x)= x^2-2x+5 I am confused on how my teacher got x^2+2x+5",
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"content": "Pinned a message.",
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"content": "Have you tried something out?",
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"id": 1061393191623995500,
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"author_name": "Doggo",
"timestamp": "01/07/2023 16:17:36",
"content": "you plug in x+2 wherever you see x, just like with numbers",
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"content": "with f(7) you'd do 7^2 - 2(7) + 5",
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"timestamp": "01/07/2023 16:17:58",
"content": "with f(x + 2) you write x + 2 instead",
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"timestamp": "01/07/2023 16:18:19",
"content": "okay I understand thank you!",
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"timestamp": "01/07/2023 16:19:10",
"content": ".close",
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] | help-9 | 1565bb2aa5e2430f968eacd21f8842fc |
200,606 | [
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"author_name": "nicoladahنيكو",
"timestamp": "01/07/2023 16:32:22",
"content": "how do i solve number 10 im so confused",
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"content": "Pinned a message.",
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"author_name": "Modus",
"timestamp": "01/07/2023 16:33:27",
"content": "try do the drawing on your own",
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"timestamp": "01/07/2023 16:33:33",
"content": "it should help",
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"timestamp": "01/07/2023 16:37:43",
"content": "i dont understand, like the furthest i got was getting the angles but from there i still dont understand what the question asks me to do",
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"content": "you don't have to use angles",
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"content": "how do you write on graphs?",
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"content": "Write what? Label of points?",
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"content": "yeah",
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"content": "They are added automatically, but I can write on graphs though",
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"content": "e.g.",
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"content": "oh ok i see it thanks",
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"timestamp": "01/07/2023 16:43:31",
"content": "Generally I can say LaTeX works there and this is nice",
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"timestamp": "01/07/2023 16:45:32",
"content": "oh right, ok so i still need the angle between the two right?",
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"timestamp": "01/07/2023 16:45:39",
"content": "no",
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"content": "i mean you can but it's just unnecessary",
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"timestamp": "01/07/2023 16:46:58",
"content": "$$\\DistanceBetweenTwoPoints$$",
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"timestamp": "01/07/2023 16:47:00",
"content": "**Modus**",
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"timestamp": "01/07/2023 16:47:10",
"content": "or just Pythagorean Theorem",
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"content": "i think it's easier with pythagoras since you already know point x and point y of the resultant vector",
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"timestamp": "01/07/2023 16:48:46",
"content": "i get 6.08 which isnt any of the options",
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"timestamp": "01/07/2023 16:49:00",
"content": "can you show your works?",
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"timestamp": "01/07/2023 16:50:58",
"content": "one sec",
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"content": "ok so on the first i used the equation that modus out above but that ended up giving me just the ‘missing side’ which is 6.08. but if instead i did x2-y2 and not x2-x1 and same for the other one, i got 5.38 which is one of the answers. sorry i cant really explain youll just have to see the image 😭.",
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"content": "you could have done in another way",
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"content": "you can find the coordinates of c with the coordinates of a(-2,3) and b(4,2)",
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"content": "the coordinate of c(Xa+Xb,Ya+Yb)",
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"content": "doing so will find coordinate C(2,5)",
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"content": "now let's say that P(2,0)",
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"content": "then we clearly see a right triangle in OPC",
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"content": "meaning we can use pythagoras",
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"timestamp": "01/07/2023 17:10:37",
"content": "|OC|²=|OP|²+|CP|²",
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"content": "|OC|²= (Xc)²+(Yc)²",
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"content": "|OC|=sqrt(2²+5²)=sqrt(29)=5,38",
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"content": "that's just pure coincidence",
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"content": "oh my, ok thank you so much",
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] | help-9 | 526d46ff1b534aec8ef3f2cf3950890f |
200,607 | [
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"content": "this is killing me please help 😭",
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"content": "Do you know either the dot product or the cosine rule?",
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"timestamp": "01/07/2023 18:12:44",
"content": "yeah i know both, like the thing that is messing me up is that none of the points are at the origin, which is like how i've been doing it",
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"timestamp": "01/07/2023 18:15:01",
"content": "so if you draw a line perpendicular to RT which connects to S, making a right angled triangle, then |RS|cos(angle SRT) will be the magnitude of the projection",
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"timestamp": "01/07/2023 18:15:52",
"content": "as this is just the base of the right angled triangle",
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"content": "and we can get cos(angle SRT) with the dot product",
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"content": "you then just have to get the direction of the projection",
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"content": "the vectors are still the same regardless of where they're situated",
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"timestamp": "01/07/2023 18:22:56",
"content": "why am i making this perpendicular line, and also i still dont get how to get the angle of srt, sorry",
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"content": "do you know how to calculate the dot product of RS and unit vector RT?",
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"content": "it would be the magnitude of rs times rt and cos of the angle between them, i just don't know how to get the angle between them",
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"timestamp": "01/07/2023 18:25:02",
"content": "oh using the angle okay",
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"timestamp": "01/07/2023 18:25:19",
"content": "i mean i know the other way but i dont know how to apply it here as im used to doing it when its from the origin",
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"timestamp": "01/07/2023 18:25:39",
"content": "like the (x1*x2) + (y1 ** y2)",
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"content": "ah well you can represent the vectors numerically",
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"content": "wdym",
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"timestamp": "01/07/2023 18:26:34",
"content": "for example, $\\vec{RS}=\\begin{bmatrix}7\\\\2\\end{bmatrix}$",
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"timestamp": "01/07/2023 18:27:03",
"content": "**light**",
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"timestamp": "01/07/2023 18:27:08",
"content": "are u familiar with this notation?",
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"timestamp": "01/07/2023 18:27:23",
"content": "just a bit, i wasnt taught really that notation",
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"timestamp": "01/07/2023 18:27:32",
"content": "also where are the 7 and 2 coming from",
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"timestamp": "01/07/2023 18:28:00",
"content": "$\\vec{RS}=\\vec{OS}-\\vec{OR}$",
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"timestamp": "01/07/2023 18:28:02",
"content": "**nɟoʇ**",
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"content": "so this is saying the vector which takes R to S can be made by starting at R, going to the origin (subtracting $\\vec{OR}$) and then going to S (adding $\\vec{OS}$)",
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"content": "right yea",
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"content": "this would be RT though",
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"content": "are we using this equation at all or are u showing me a different approach",
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"timestamp": "01/07/2023 18:32:26",
"content": "because what i was thinking was getting the magnitude of RT which is simple but my issue is just like gettin the dot product thats on the numerator",
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"content": "oh ok well if we take the equation as given",
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"content": "then the numerator will be $\\vec{RS} \\cdot \\vec{RT}$",
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"content": "**nɟoʇ**",
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"timestamp": "01/07/2023 18:34:20",
"content": "which will be $(\\vec{OS}-\\vec{OR}) \\cdot (\\vec{OT}-\\vec{OR})$",
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"content": "**nɟoʇ**",
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"timestamp": "01/07/2023 18:34:46",
"content": "and you can then plug these in and calculate",
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"content": "wait so how do i get the dot product between these two",
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"content": "You can get their vectors",
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"timestamp": "01/07/2023 18:36:05",
"content": "From points that lie on the line",
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"content": "i dont understand 😭",
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"timestamp": "01/07/2023 18:37:57",
"content": "OR is the vector that goes from the origin to R, which is already given since this is the same as the coordinate for R",
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"timestamp": "01/07/2023 18:38:15",
"content": "Why are you finding OR",
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"timestamp": "01/07/2023 18:38:20",
"content": "Wait wait what's",
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"timestamp": "01/07/2023 18:38:31",
"content": "There are labeled points on the diagram",
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"content": "You can find RS and RT directly",
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"timestamp": "01/07/2023 18:39:04",
"content": "$\\vec{RS} = S - R$",
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"timestamp": "01/07/2023 18:39:06",
"content": "**Umbraleviathan**",
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"timestamp": "01/07/2023 18:39:16",
"content": "You have S and R",
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"timestamp": "01/07/2023 18:39:37",
"content": "Take their points as position vectors, per se",
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"timestamp": "01/07/2023 18:39:39",
"content": "you just described the exact same thing with different notation",
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"content": "You don't need to use the origin tho",
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"timestamp": "01/07/2023 18:40:20",
"content": "ik its just a different convention for labelling a position vector",
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"author_name": "nicoladahنيكو",
"timestamp": "01/07/2023 18:40:30",
"content": "so rs would be (1,5) - (-4,-1) = (5,6) ??",
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"timestamp": "01/07/2023 18:40:37",
"content": "yes",
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"timestamp": "01/07/2023 18:40:48",
"content": "S := (1,5), R := (-4,-1)\n\nSo RS = S - R\n= <5, 6>",
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"author_name": "nicoladahنيكو",
"timestamp": "01/07/2023 18:40:48",
"content": "ooooooh omg ok thank you",
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"timestamp": "01/07/2023 18:40:49",
"content": "Yup",
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"timestamp": "01/07/2023 18:40:56",
"content": "And you'll do the same for RT",
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"timestamp": "01/07/2023 18:41:19",
"content": "so the ndo the same for rt and just use the (x1 * x2) + (y1 *y2)",
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"timestamp": "01/07/2023 18:41:24",
"content": "and that s the dot product",
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"timestamp": "01/07/2023 18:41:33",
"content": "yeah",
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"timestamp": "01/07/2023 18:41:45",
"content": "okok sorry i was just overthinking it",
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"timestamp": "01/07/2023 18:49:46",
"content": "so would this be the answer? i just want to double check",
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"timestamp": "01/07/2023 18:59:37",
"content": "47 is right for the dot product, but (5,6) is the wrong direction as this is RS",
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"timestamp": "01/07/2023 19:00:13",
"content": "the vector projection of a on b is parallel to b",
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"timestamp": "01/07/2023 19:05:13",
"content": "@nicoladahنيكو Has your question been resolved?",
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"timestamp": "01/07/2023 19:05:20",
"content": "Channel closed",
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] | help-9 | d2fe9fa976e9468a883d417ca22fcb20 |
200,608 | [
{
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"timestamp": "01/07/2023 19:06:21",
"content": "Available help channel!",
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},
{
"id": 1061436107587330000,
"author_id": 709878603285790700,
"author_name": "wrdJus",
"timestamp": "01/07/2023 19:08:08",
"content": "make 1+1 into the most complicated equation",
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},
{
"id": 1061436111324450800,
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"timestamp": "01/07/2023 19:08:09",
"content": "Pinned a message.",
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"id": 1061436385308971000,
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"timestamp": "01/07/2023 19:09:14",
"content": "No",
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"content": ":hmmCat:",
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"author_name": "VulcanOne",
"timestamp": "01/07/2023 19:11:07",
"content": "If you wanna make it complex-looking, then I suggest learning trig identities and learning series",
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"timestamp": "01/07/2023 19:13:31",
"content": "Complicated is subjective",
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"author_name": "riemann",
"timestamp": "01/07/2023 19:17:57",
"content": "Don't ask meme questions, thanks",
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"content": ".close",
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] | help-9 | c083777401ff48839020d6ae9671fcd7 |
200,609 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 16:52:27",
"content": "Available help channel!",
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},
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"timestamp": "10/27/2022 17:01:10",
"content": "Hey",
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"author_id": 750345728248905700,
"author_name": "smaqlo",
"timestamp": "10/27/2022 17:01:20",
"content": "I have a geometry problem that I need to solve",
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"id": 1035298212313043100,
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"author_name": "smaqlo",
"timestamp": "10/27/2022 17:05:28",
"content": "It basically says this: Within a direct orthonormed axis, A(2,20) I(-7,25), J(0,27), find the coordinates of B, C, D within these conditions:\n\nthe area of ABCD is 424\n\nthe point I is within the line (AC) and its x coordinate in the system (A,AC vector) is -1/2\n\n(CD) is parallel to (IJ)\n\nthe x coordinate of D is negative",
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"timestamp": "10/27/2022 17:05:47",
"content": "I've only found the coordinates of C so far C(20,10) but I'm struggling with the others",
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"timestamp": "10/27/2022 17:20:47",
"content": "@smaqlo Has your question been resolved?",
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"content": "Any help?",
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"timestamp": "10/27/2022 18:03:49",
"content": "@smaqlo Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 19:03:56",
"content": "@smaqlo Has your question been resolved?",
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"id": 1035329547765305300,
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"author_name": "smaqlo",
"timestamp": "10/27/2022 19:09:59",
"content": "@Helpers",
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{
"id": 1035329560318840800,
"author_id": 750345728248905700,
"author_name": "smaqlo",
"timestamp": "10/27/2022 19:10:02",
"content": "Anything?",
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"id": 1035332812267601900,
"author_id": 750345728248905700,
"author_name": "smaqlo",
"timestamp": "10/27/2022 19:22:57",
"content": "@Helpers",
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},
{
"id": 1035335410232078300,
"author_id": 750345728248905700,
"author_name": "smaqlo",
"timestamp": "10/27/2022 19:33:17",
"content": ".close",
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},
{
"id": 1035335413189062700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 19:33:18",
"content": "Channel closed",
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] | help-9 | fea60665fe9e4a4cb02c34e93345b09b |
200,610 | [
{
"id": 1061438843070455900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 19:19:00",
"content": "Available help channel!",
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},
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"timestamp": "01/07/2023 19:25:27",
"content": "Pinned a message.",
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"timestamp": "01/07/2023 19:25:33",
"content": "give me 1 hard exercise",
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"id": 1061440931200499800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/07/2023 19:27:18",
"content": "Prove aⁿ + bⁿ = cⁿ, where n is an integer greater than 2, has no solutions for integers a, b, and c",
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},
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"id": 1061440966063558700,
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"timestamp": "01/07/2023 19:27:26",
"content": "bru nvm",
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"id": 1061441090068164600,
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"id": 1061441114466422800,
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"author_name": "Kihei",
"timestamp": "01/07/2023 19:28:02",
"content": "chat gpt has one",
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},
{
"id": 1061441176969949300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/07/2023 19:28:17",
"content": "well come one",
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{
"id": 1061441188915327100,
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"content": "thats nearly trivial",
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"timestamp": "01/07/2023 19:28:43",
"content": "Had to make sure the problem was solvable",
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"id": 1061441350551220200,
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"author_name": "Gooaaa",
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"content": "(X^3)^3^6^3^(2+0)^0",
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{
"id": 1061441504469586000,
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"timestamp": "01/07/2023 19:29:35",
"content": "brackets :bleakkekw:",
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"content": "Hey no trolling the help channels",
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{
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"content": "who's trolling?",
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"author_id": 394938706760302600,
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"timestamp": "01/07/2023 19:30:44",
"content": "down with dictators? :thonk:",
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"author_name": "Eric Tao",
"timestamp": "01/07/2023 19:30:48",
"content": "I mean like this lol",
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"id": 1061441815888285700,
"author_id": 394938706760302600,
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"timestamp": "01/07/2023 19:30:49",
"content": "in what way sir",
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"content": "you shouldnt be down with dictators",
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"content": "That's obviously not what they were looking for",
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"timestamp": "01/07/2023 19:31:55",
"content": "Yeah don't troll",
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"id": 1061442239374573600,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "01/07/2023 19:32:30",
"content": "What kind of problems have you already done?",
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"author_name": "Insidias",
"timestamp": "01/07/2023 19:32:53",
"content": "learning about properties of exponents",
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"author_name": "Eric Tao",
"timestamp": "01/07/2023 19:33:23",
"content": "what about this:\n\nsimplify\n\\[\\frac{(x^2)^3y}{\\sqrt{xy}}\\]",
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"id": 1061442473538355300,
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"timestamp": "01/07/2023 19:33:26",
"content": "**diffeomorph\\_eric (he)**",
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"timestamp": "01/07/2023 19:33:29",
"content": "2=x^x^x^x^x... (going on forever)",
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"timestamp": "01/07/2023 19:33:31",
"content": "Solve for x",
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"id": 1061442554639417500,
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"author_name": "Insidias",
"timestamp": "01/07/2023 19:33:45",
"content": "ill try",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/07/2023 19:35:20",
"content": "But I like being a hypocrite",
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"timestamp": "01/07/2023 19:35:28",
"content": "Smh",
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"id": 1061443027840802800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/07/2023 19:35:38",
"content": "Please no troll!!",
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"timestamp": "01/07/2023 19:35:45",
"content": "It's not trolling",
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"id": 1061443071646105700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 19:35:48",
"content": "It's a real problem",
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},
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"id": 1061443119939326100,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/07/2023 19:36:00",
"content": "is it possible?",
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"id": 1061443130349596700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 19:36:02",
"content": "yes",
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{
"id": 1061443171734798500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 19:36:12",
"content": "It's \"hard\" in that you have to clever",
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"id": 1061443244199772300,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/07/2023 19:36:30",
"content": "u got me fucked up with that problem",
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},
{
"id": 1061443283349414000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 19:36:39",
"content": "As a hard problem should do",
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"id": 1061443289162719200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/07/2023 19:36:40",
"content": "Well",
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{
"id": 1061443325892239400,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/07/2023 19:36:49",
"content": "xd",
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"id": 1061443395551236100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/07/2023 19:37:06",
"content": "Sure, you can find a value for x, but can you prove 2 = x^x^x^... has a solution to begin with?",
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"id": 1061443431248953500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/07/2023 19:37:14",
"content": "If x^x = 2, then can you find x^x^x^x?",
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"id": 1061443559376552000,
"author_id": 526506101156479000,
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"timestamp": "01/07/2023 19:37:45",
"content": "i think it cant be solved",
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"id": 1061443590175346800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/07/2023 19:37:52",
"content": "Which?",
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"id": 1061443635817742300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 19:38:03",
"content": "You just now made me realize the vagueness of power syntax",
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"id": 1061443671536439400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/07/2023 19:38:11",
"content": "Anyways you should do this",
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"id": 1061443672077516800,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/07/2023 19:38:12",
"content": "x",
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"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/07/2023 19:38:13",
"content": "Lmao",
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"id": 1061443712435114100,
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"author_name": "SWR",
"timestamp": "01/07/2023 19:38:21",
"content": "btw I meant this specifically",
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"id": 1061443773491597300,
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"author_name": "Gooaaa",
"timestamp": "01/07/2023 19:38:36",
"content": "I solved it",
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"timestamp": "01/07/2023 19:38:58",
"content": "",
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"author_name": "VulcanOne",
"timestamp": "01/07/2023 19:39:18",
"content": "If $x^x = 2$, find $x^{x^{x^x}}$",
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"id": 1061443958850474100,
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"author_name": "TeXit",
"timestamp": "01/07/2023 19:39:20",
"content": "**VulcanOne**",
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"timestamp": "01/07/2023 19:40:31",
"content": "",
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"timestamp": "01/07/2023 19:40:45",
"content": "Actually, @Insidias that would be a good problem for you",
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"timestamp": "01/07/2023 19:41:01",
"content": "The latter, power towers are evaluated from top to bottom",
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"id": 1061444638361268200,
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"timestamp": "01/07/2023 19:42:02",
"content": "A better problem for insidias would be a problem related to the problems they've done before, like what Eric suggested",
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"timestamp": "01/07/2023 19:42:45",
"content": "actually im just trying to refresh the rules of the properties",
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"content": "xd",
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"timestamp": "01/07/2023 19:43:06",
"content": "Logarithms too or just exponents?",
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"content": "just exponents",
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"content": "This is probably a best exercise then",
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"content": "yeah im stuck on the root trying to remember the rule for root",
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"content": "to reverse it",
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"content": "Could you not just make x^x = y so its y^y u have to find out",
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"content": "like 2 root x",
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"content": "For this?",
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"content": "ah no",
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"content": "i dont remember the rule",
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"content": "just googled it",
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"content": "Also, recall the definition of square root",
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"content": "oh so x square?",
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"content": "If you square the square root, you get the original value (unless there's negative numbers involved, which we'll ignore for now)",
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"content": "yeah",
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"content": "There’s a definition for a square root?",
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"content": "Didn’t even know",
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"content": "Yeah. It's literally, \"What number, if I square it, will give me _x_?\"",
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"content": "That’s the same right",
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"content": "Is that correct",
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"content": "like x up5",
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"content": "√x is the same as ²√x",
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"content": "Not ¹√x",
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"content": "oh",
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"content": "ok let me retry",
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"content": "looks good but definitely do 11/2 instead of 5.5",
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"content": "I guess that's a valid way to write it",
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"content": "Always keep exponents in fractions if you can manage to",
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"content": "I'd rather write it in terms of roots but I guess it doesn't matter",
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"content": "ok thanks guys now i think i can do almost all rules of the exponents property stuff",
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"content": "Yea but this is exponents work",
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"content": "root was the last one that i didnt practice",
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"content": "Lemme think of one",
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"content": "That last one is cube root, btw",
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"content": "ok i will try",
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"content": "after that i should have mastered the root rule",
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"content": "x³y/x² isn't x + y",
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"content": "Of",
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"content": "Ok wait",
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"content": "This?",
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"content": "√(x²y²) ≠ x + y",
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"content": "Also, I feel like the way to simplify this in the end may require something you haven't learned",
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"timestamp": "01/07/2023 20:16:32",
"content": "What do I need",
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"timestamp": "01/07/2023 20:17:02",
"content": "The fact that x² + 2xy + y² = (x + y)²",
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"content": "If you know that, then everything else is things you should have knowledge of",
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"content": "Ok I’ll try",
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"content": "so far so good, but you can go further",
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"content": "hmm i will try",
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"timestamp": "01/07/2023 20:21:53",
"content": "Correction: It is incorrect",
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"timestamp": "01/07/2023 20:22:29",
"content": "You forgot the big square root",
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"id": 1061454872731451500,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/07/2023 20:22:42",
"content": "Ah shit",
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"content": "Yes. Note that this simplification only works if xy ≥ 0 and x + y ≥ 0",
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"content": "Yeah I'm assuming that to keep life simple for everybody",
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"timestamp": "01/07/2023 20:25:17",
"content": "Thanks guys now I can sleep in peace",
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"timestamp": "01/07/2023 20:25:45",
"content": ".close",
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] | help-9 | 8885d2be38fc4fce9cbf5591e9214ea9 |
200,611 | [
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"content": "would that = 2cos2x?",
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"content": "no",
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"content": "no, are you familar with trig identities?",
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"timestamp": "01/07/2023 21:23:36",
"content": "ye kinda",
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"content": "have you started working on it?",
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"id": 1061470689632211100,
"author_id": 243653270399090700,
"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 21:25:33",
"content": "no",
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"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 21:25:40",
"content": "dont really know where to start tbh",
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"timestamp": "01/07/2023 21:25:52",
"content": "I would start on the RHS if i were u",
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"id": 1061470769957318700,
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"author_name": "ed",
"timestamp": "01/07/2023 21:25:52",
"content": "State the double angle formula for cosine",
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"timestamp": "01/07/2023 21:25:56",
"content": "all i can think of is cos2x= 2cos^2x-1",
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"timestamp": "01/07/2023 21:26:17",
"content": "Ok now use that on cos(2*2x)",
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"content": "what would i do with the 2?",
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"content": "would it be 2(2cos^2x-1)?",
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"timestamp": "01/07/2023 21:27:23",
"content": "No it wouldn’t",
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"timestamp": "01/07/2023 21:27:53",
"content": "what would it be",
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"timestamp": "01/07/2023 21:28:29",
"content": "**ed**",
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"timestamp": "01/07/2023 21:28:51",
"content": "**ed**",
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"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 21:29:01",
"content": "2cos^22x-1?",
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"timestamp": "01/07/2023 21:29:04",
"content": "spelt sbustitute wrong but whatever",
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"id": 1061471618007846900,
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"timestamp": "01/07/2023 21:29:14",
"content": "yeah",
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"timestamp": "01/07/2023 21:29:17",
"content": "you got it",
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"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 21:29:25",
"content": "and then rewrite",
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"timestamp": "01/07/2023 21:29:27",
"content": "im guessing",
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"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 21:29:31",
"content": "and do the formula again?",
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"id": 1061471818935959700,
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"timestamp": "01/07/2023 21:30:02",
"content": "wait oops",
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"id": 1061471824795422700,
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"timestamp": "01/07/2023 21:30:04",
"content": "i blundered",
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"id": 1061471827211333800,
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"timestamp": "01/07/2023 21:30:04",
"content": "oops",
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},
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"id": 1061471864746147800,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "01/07/2023 21:30:13",
"content": "its $2cos^22x-1$",
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"author_name": "TeXit",
"timestamp": "01/07/2023 21:30:16",
"content": "**ed**",
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"timestamp": "01/07/2023 21:30:20",
"content": "yes",
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"id": 1061471902834630700,
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"timestamp": "01/07/2023 21:30:22",
"content": "so now apply the formula again",
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"id": 1061471912544456800,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "01/07/2023 21:30:25",
"content": "and then you're done",
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"id": 1061471923655147500,
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"timestamp": "01/07/2023 21:30:27",
"content": "ok",
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"author_name": "bob.the.spooder.man",
"timestamp": "01/07/2023 21:31:35",
"content": "thanks",
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"id": 1061472216241422500,
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"timestamp": "01/07/2023 21:31:37",
"content": ".close",
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"author_name": "Mathematics Bot",
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"content": "Channel closed",
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] | help-9 | 22326c505a64471ab0e70c0e4af4930c |
200,612 | [
{
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"content": "Available help channel!",
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"author_id": 159004388944379900,
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"timestamp": "01/07/2023 21:38:19",
"content": "do you know how to convert between units?",
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"timestamp": "01/07/2023 21:41:46",
"content": "Idk how to deal with the exponents",
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"id": 1061475667381858400,
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"timestamp": "01/07/2023 21:45:20",
"content": "do you know how many cm^3 are in a m^3",
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"content": "start with how many cm are in 1m",
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"timestamp": "01/07/2023 21:47:47",
"content": "similar to how I pointed out the issue in the previous question",
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"timestamp": "01/07/2023 21:53:19",
"content": "there are 100 cm in a meter",
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"timestamp": "01/07/2023 21:53:39",
"content": "yes",
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"id": 1061477799166222500,
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"timestamp": "01/07/2023 21:53:48",
"content": "and then cube both those values",
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"content": "Ok so there are 100^3 cm in a m^3?",
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"content": "no",
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"timestamp": "01/07/2023 21:54:34",
"content": "I meant in a meter ^3",
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"timestamp": "01/07/2023 21:54:38",
"content": "still not quite",
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"timestamp": "01/07/2023 21:54:49",
"content": "don't forget the cm is cubed as well",
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"timestamp": "01/07/2023 21:54:55",
"content": "oh u mean 100^3 cm^3 in a m^3",
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"id": 1061478095795789800,
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"timestamp": "01/07/2023 21:54:59",
"content": "yes",
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"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 22:09:55",
"content": "@cookie2 Has your question been resolved?",
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"timestamp": "01/07/2023 22:24:55",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 6e99c85acb2545cbbe69e38ff98e1dcb |
200,613 | [
{
"id": 1061500876214239200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 23:25:30",
"content": "Available help channel!",
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},
{
"id": 1061502709838127200,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:32:47",
"content": "\"Ann, John, and Alex took a bus tour of Disneyland. Each of them\nmust pay 5 plastic chips for the ride, but they have only plastic coins of values 10,\n15, and 20 chips (each has an unlimited number of each type of coin). How can\nthey pay for the ride? \" Am I the only one who thinks this problem is bizarre? Logically, one pays for the three people. But if they have an \"unlimited\" number of coins, why would others have to end up having to pay what is owed?",
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{
"id": 1061502712270823600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 23:32:48",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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}
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{
"id": 1061502845305770000,
"author_id": 768863586981380100,
"author_name": "Lê Thị Quỳnh Anh",
"timestamp": "01/07/2023 23:33:20",
"content": "Let ABC be an acute triangle inscribed in circle ( ). O I is the incircle of triangle ABC.\nAI intersects ( ) O at D other than A. Let ( ), ( ) K L be the circles inscribed in the triangles, respectively.\nABD ACD , . The centers of ( ), ( ) K L are, respectively, K L , .\n1) Prove that IK IL .\n2) Prove that there is a common external tangent to ( ) K and ( ) L parallel to BC.\n3) Let J be the point of symmetry with I through KL. Prove that the circumcenter\nof the triangle JBC lies on ( ). O",
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{
"id": 1061503849770270800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/07/2023 23:37:19",
"content": "Please read #❓how-to-get-help",
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},
{
"id": 1061504617604710500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 23:40:22",
"content": "The question is bizarre indeed",
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"id": 1061504685443387500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 23:40:38",
"content": "Saying infinite money is weird",
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},
{
"id": 1061504736882327600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 23:40:51",
"content": "I'd rather say \"enough of each denomination\"",
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},
{
"id": 1061504794151358500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 23:41:04",
"content": "So in the end, each one of them must have 5 less than when they started",
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},
{
"id": 1061504834487984300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 23:41:14",
"content": "One of them paying for all three makes sense",
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},
{
"id": 1061504877068558300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/07/2023 23:41:24",
"content": "But then that person must be compensated 10",
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},
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"id": 1061505023093260400,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:41:59",
"content": "Yes, but my initial answer was just to say one pays for the three, and since they have \"infinite money\" then there is no need to pay this person",
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},
{
"id": 1061505138956701700,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:42:26",
"content": "as it turns out, even if you have infinite money, you still have to pay the debt you owe to the other",
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},
{
"id": 1061505199178530800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:42:41",
"content": "they don't agree",
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},
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:42:59",
"content": "all 3 are weird and think you;re crazy for suggesting this method",
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"id": 1061505354200002700,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:43:18",
"content": "I'm not following you",
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"id": 1061505562900189200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:44:08",
"content": "Elon musk",
"attachments": [],
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},
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"id": 1061505697122095200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:44:40",
"content": "same, i'm not following you",
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},
{
"id": 1061505743607570400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/07/2023 23:44:51",
"content": "Basically \"Each of them must pay 5 tokens for the ride\" so the option of \"just have one pay for all 3\" isn't a solution. They must each contribute 5 tokens",
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},
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"id": 1061505803271540700,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/07/2023 23:45:05",
"content": "Very weird question, do they give change?",
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},
{
"id": 1061505813337870500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/07/2023 23:45:07",
"content": "or have 5 less tokens than before.",
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},
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"id": 1061505815330168800,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:45:08",
"content": "Well, if you have \"infinite money\", what's the point of having to pay something to the other person?",
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"id": 1061505860377006200,
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"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:45:18",
"content": "you end up losing nothing at the end",
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},
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"id": 1061505872620179600,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:45:21",
"content": "you have infinite money",
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},
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"id": 1061505914068287500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/07/2023 23:45:31",
"content": "because they're petty.",
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},
{
"id": 1061505966203486200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/07/2023 23:45:44",
"content": "you don't get infinite money by paying other people's debts",
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},
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"id": 1061506023841616000,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/07/2023 23:45:57",
"content": "All the money in the world and yet it still ain't enough :KEK:",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:46:14",
"content": "but sometimes people don;t agree with you even when what you;re saying is sensible",
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{
"id": 1061506207816368300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:46:41",
"content": "i don;t know what you're missing, you must know that",
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},
{
"id": 1061506338523455500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/07/2023 23:47:12",
"content": "welcome to the real world, the sensible solutions isn't the one anyone wants to use 🤷",
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},
{
"id": 1061506426838724700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:47:33",
"content": "in this case it happened that all 3 feel this way, that they must lose 5 each",
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},
{
"id": 1061506473500348500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:47:45",
"content": "they didn't even have to vote or anything",
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{
"id": 1061506480181891200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:47:46",
"content": "Fuck you im printing my own shit suck it IRS",
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},
{
"id": 1061506536817569800,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:48:00",
"content": "I actually agree with this answer, each must pay his due. (This is actually the only answer) But pointing out that each has infinite quantity of coins is confusing",
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"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:48:08",
"content": "or weird",
"attachments": [],
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},
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:48:32",
"content": "They're limited by using 5 coins",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:48:37",
"content": "So it's not really unlimited",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:48:41",
"content": "oh you agree as well?",
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{
"id": 1061506712936386700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:48:42",
"content": "They HAVE unlimited",
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},
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"id": 1061506782599577700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:48:58",
"content": "But the guy at the door says \"nah you see I'm like Goldilocks. Can't have 4 and have 6. Only 5 coins.\"",
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},
{
"id": 1061506792095502300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:49:01",
"content": "this is messed up you;re just trolling",
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{
"id": 1061506851805610000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:49:15",
"content": "It's legit a restriction",
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},
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"id": 1061506912933396500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:49:29",
"content": "Just because you have unlimited money doesn't mean there's unlimited ways",
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"id": 1061506921959526400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:49:32",
"content": "\"this three people act in this way that i think is sensible, i think this is confusing\"",
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},
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"id": 1061506944189354100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:49:37",
"content": "You're limited to 5 coins",
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},
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"id": 1061506990238597200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:49:48",
"content": "Actually you HAVE to use 5 coins, no less no more",
"attachments": [],
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},
{
"id": 1061507014179688400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:49:54",
"content": "In that sense it's very, very limited",
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},
{
"id": 1061507066344247300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:50:06",
"content": "Well for each person has to use 5",
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},
{
"id": 1061507092546076800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:50:12",
"content": "So really in total, 15 coins",
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},
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"id": 1061507132647801000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:50:22",
"content": "Again, still a restriction for each guy because each has to pay 5",
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},
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"id": 1061507141250330600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:50:24",
"content": "umbral this is stupid",
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},
{
"id": 1061507158681858000,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:50:28",
"content": "You must pay 5 coins for entry, but since you have an unlimited quantity of coins, what's the point of paying a debt to the other person6",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:50:29",
"content": "It is",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:50:47",
"content": "My guy it's an algebra problem not a loan issue",
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"id": 1061507286595547300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:50:58",
"content": "If you're gonna waste time, feel free to close the channel",
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},
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"id": 1061507368015368200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/07/2023 23:51:18",
"content": "Gotta love overthinkers",
"attachments": [],
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"id": 1061507409614479400,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:51:28",
"content": "What do you mean?",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:51:37",
"content": "It legit says \"each of them **must** pay 5 coins\"",
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},
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"id": 1061507470553522200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:51:42",
"content": "You're overthinking this",
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},
{
"id": 1061507495182467100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:51:48",
"content": "There would be no debt",
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},
{
"id": 1061507569102889100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:52:06",
"content": "umbral is trolling by pretending to misread the problem",
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},
{
"id": 1061507614116159500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:52:17",
"content": "What",
"attachments": [],
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},
{
"id": 1061507647339245600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:52:24",
"content": "dldh and OP are also trolling but i can;t describe it as easily",
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"id": 1061507814259957800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:53:04",
"content": "Huh",
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},
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"id": 1061507863433990100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/07/2023 23:53:16",
"content": "Me troll?",
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"id": 1061507874842492900,
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"author_name": "dldh06",
"timestamp": "01/07/2023 23:53:19",
"content": "Never",
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},
{
"id": 1061507956711096400,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:53:38",
"content": "There seems to be only one person who caught on my point",
"attachments": [],
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},
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"id": 1061508025543819300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:53:55",
"content": "oh, that's dldh",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:53:57",
"content": "he's smart like that",
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},
{
"id": 1061508052496437200,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/07/2023 23:54:01",
"content": "no",
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"id": 1061508068858417300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/07/2023 23:54:05",
"content": "yes",
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{
"id": 1061508069047152600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/07/2023 23:54:05",
"content": "On god",
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},
{
"id": 1061509862275678200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/08/2023 00:01:13",
"content": "Also with the power of google\n> 2 give a chips of 15 to one and get a 10 chips back and then the guy pays with a 15 chips.",
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"id": 1061511828661874800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 00:09:01",
"content": "@LearningGreek Has your question been resolved?",
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"id": 1061512502988525700,
"author_id": 807099822310031400,
"author_name": "LearningGreek",
"timestamp": "01/08/2023 00:11:42",
"content": "I was not asking an answer for the problem bro",
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"id": 1061512551000715300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/08/2023 00:11:54",
"content": "Too late",
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},
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 00:12:17",
"content": "the wording of that response is a bit off",
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"timestamp": "01/08/2023 00:24:02",
"content": "Channel closed",
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}
] | help-9 | c34a3ca9e2694f6c8493da296f4d39d3 |
200,614 | [
{
"id": 1061515859408994300,
"author_id": 805217272087838700,
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"timestamp": "01/08/2023 00:25:02",
"content": "Available help channel!",
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},
{
"id": 1061518974107533300,
"author_id": 385927627896127500,
"author_name": "HaydudetheMineblox",
"timestamp": "01/08/2023 00:37:25",
"content": "Question D having trouble with answering",
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"content": "Pinned a message.",
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"id": 1061519163950125000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/08/2023 00:38:10",
"content": "Do you know logs?",
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},
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"id": 1061519317319041000,
"author_id": 385927627896127500,
"author_name": "HaydudetheMineblox",
"timestamp": "01/08/2023 00:38:47",
"content": "I have used it for chemistry but not for mathematics",
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"id": 1061519500756922400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/08/2023 00:39:31",
"content": "The only thing you need from log is that",
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"id": 1061519509946634400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/08/2023 00:39:33",
"content": "$\\log(a^b)=b\\log(a)$",
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"id": 1061519518473670800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 00:39:35",
"content": "**riemann**",
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"id": 1061519578536087600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/08/2023 00:39:49",
"content": "Take log of both sides on your last line",
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},
{
"id": 1061519897089278100,
"author_id": 385927627896127500,
"author_name": "HaydudetheMineblox",
"timestamp": "01/08/2023 00:41:05",
"content": "Sorry Im not familiar with that formula",
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},
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"id": 1061522638821924900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/08/2023 00:51:59",
"content": "https://www.cuemath.com/algebra/properties-of-logarithms/",
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"id": 1061522783911297200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/08/2023 00:52:33",
"content": "And\nhttps://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:log-intro/a/intro-to-logarithms",
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"id": 1061524042881962000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 00:57:33",
"content": "@HaydudetheMineblox Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 01:12:34",
"content": "Channel closed",
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] | help-9 | 510c9e3291f043879c9766041dc237f4 |
200,615 | [
{
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"timestamp": "01/08/2023 02:55:35",
"content": "Available help channel!",
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},
{
"id": 1061554992147865700,
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"author_name": "Shathu",
"timestamp": "01/08/2023 03:00:32",
"content": "How to solve this",
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"content": "Pinned a message.",
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"timestamp": "01/08/2023 03:15:33",
"content": "@Shathu Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 9fea3266c478419382a854cbb25bfa81 |
200,616 | [
{
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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"id": 1061574003581517800,
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"content": "Pinned a message.",
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"id": 1061574091271840000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:16:26",
"content": "Please someone help me with this!!!",
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},
{
"id": 1061574773492162600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:19:09",
"content": "what have you tried",
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},
{
"id": 1061574914198479000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:19:42",
"content": "I find the roots",
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{
"id": 1061574978870444000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:19:58",
"content": "I found actually",
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"id": 1061575033316704300,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:20:11",
"content": "Next I don't know what to do 🥲🥲🥲🥲",
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},
{
"id": 1061575097514741900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:20:26",
"content": "you're not actually supposed to find the roots",
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},
{
"id": 1061575149142413300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:20:38",
"content": "you may have noticed that they're quite ugly",
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},
{
"id": 1061575281854398600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:21:10",
"content": "consider simplifying\n$$x_1{x_2}^{-1} + x_2{x_1}^{-1}$$\nand express it as a single fraction (with non-negative exponents)",
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"id": 1061575294160474100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 04:21:13",
"content": "**ℝamonov**",
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"id": 1061575466059833500,
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"author_name": "Pa1n",
"timestamp": "01/08/2023 04:21:54",
"content": "Hmm",
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"id": 1061575519411372000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:22:06",
"content": "Can you show please write down or idk",
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"id": 1061575562100998100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:22:17",
"content": "this is something you should be able to do",
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},
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"id": 1061575654681870300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:22:39",
"content": "do you know your exponent laws?",
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},
{
"id": 1061575684780212400,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:22:46",
"content": "I guess I did that just a minute let me show",
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"id": 1061575960832524300,
"author_id": 874142707734429700,
"author_name": "azse360",
"timestamp": "01/08/2023 04:23:52",
"content": "Hello may I ask for help",
"attachments": [],
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},
{
"id": 1061576014033080300,
"author_id": 874142707734429700,
"author_name": "azse360",
"timestamp": "01/08/2023 04:24:04",
"content": "Is this a linear function or not f (x) = 2xy",
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},
{
"id": 1061576025085059100,
"author_id": 874142707734429700,
"author_name": "azse360",
"timestamp": "01/08/2023 04:24:07",
"content": "thank you!",
"attachments": [],
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},
{
"id": 1061576043665821800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:24:11",
"content": "read #❓how-to-get-help tldr, claim your own channel under math help available",
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},
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"id": 1061576176855957600,
"author_id": 874142707734429700,
"author_name": "azse360",
"timestamp": "01/08/2023 04:24:43",
"content": "Oh",
"attachments": [],
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},
{
"id": 1061576184044990500,
"author_id": 874142707734429700,
"author_name": "azse360",
"timestamp": "01/08/2023 04:24:45",
"content": "thanks",
"attachments": [],
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},
{
"id": 1061576216991244400,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:24:53",
"content": "It'll be x_1 1/x_2 + x_2 1/x_1",
"attachments": [],
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},
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"id": 1061576341180395500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:25:22",
"content": "that can be written a lot more nicely as\n$$\\frac{x_1}{x_2} + \\frac{x_2}{x_1}$$",
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},
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"id": 1061576422868664300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 04:25:42",
"content": "**ℝamonov**",
"attachments": [
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"id": 1061576500345839700,
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:26:00",
"content": "now combine that into a single fraction",
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},
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"id": 1061576586031280100,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:26:21",
"content": "How?",
"attachments": [],
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},
{
"id": 1061576626942525400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:26:31",
"content": "recalling the basics of fraction addition",
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},
{
"id": 1061576709096362000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:26:50",
"content": "Oh yeah",
"attachments": [],
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},
{
"id": 1061576729988169900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:26:55",
"content": "recall how you'd simplify something like\n1/2 + 1/3",
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},
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"id": 1061576775655759900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:27:06",
"content": "same idea applies here",
"attachments": [],
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},
{
"id": 1061576802537058400,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:27:12",
"content": "5/6",
"attachments": [],
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},
{
"id": 1061576834019496000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:27:20",
"content": "Yeah I get it",
"attachments": [],
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},
{
"id": 1061576957655011300,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:27:49",
"content": "But I have problem with roots",
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},
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"id": 1061577000197828700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:27:59",
"content": "what do you have after combining?",
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"id": 1061577068116201500,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:28:16",
"content": "",
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"id": 1061577095697940500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/08/2023 04:28:22",
"content": "Lol no",
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"id": 1061577101918097400,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:28:24",
"content": "Look I got this result",
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:28:29",
"content": "> you're not actually supposed to find the roots\n> you may have noticed that they're quite ugly",
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"author_name": "Frosst",
"timestamp": "01/08/2023 04:28:30",
"content": "Don’t solve for x first",
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:28:50",
"content": "you can if you really wanted, but that's not the intention of the question",
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"id": 1061577283749556200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:29:07",
"content": "Then how?",
"attachments": [],
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"id": 1061577301638250500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/08/2023 04:29:11",
"content": "This wants to use something more clever",
"attachments": [],
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"id": 1061577309091532800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:29:13",
"content": "note that i have at no point asked you to find the roots",
"attachments": [],
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},
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"id": 1061577384823885800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:29:31",
"content": "and have implied that everything you're currently doing should only involve x_1 and x_2",
"attachments": [],
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},
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"id": 1061577639187451900,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:30:32",
"content": "Oh I don't understand",
"attachments": [],
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"id": 1061577654119174100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:30:35",
"content": "combine\n$$\\frac{x_1}{x_2} + \\frac{x_2}{x_1}$$\ninto a single fraction (keeping $x_1$ and $x_2$ as they are)",
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"id": 1061577826848997400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 04:31:17",
"content": "**ℝamonov**",
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:32:05",
"content": "(applying the same principles of combining fractions that you used to get from 1/2 + 1/3 to 5/6)",
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"author_name": "Pa1n",
"timestamp": "01/08/2023 04:32:39",
"content": "",
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"author_name": "Pa1n",
"timestamp": "01/08/2023 04:32:54",
"content": "Like this?",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:33:08",
"content": "yes",
"attachments": [],
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"id": 1061578326843601000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:33:16",
"content": "And next?",
"attachments": [],
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:35:35",
"content": "now note that unlike the roots themselves,\n`x_1 * x_2`, the product of roots is a nice value that can be easily identifiable from the quadratic\nsimilarly `x_1 + x_2`, the sum of roots is a nice value that can be easily identifiable from the quadratic\ntry expressing the numerator in terms of (x_1 + x_2) and x_1 * x_2",
"attachments": [],
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"id": 1061579256154558500,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:36:57",
"content": "With this?",
"attachments": [],
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"id": 1061579284801671200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:37:04",
"content": "no",
"attachments": [],
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"id": 1061579329227735200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:37:15",
"content": "> note that i have at no point asked you to find the roots\n> and have implied that everything you're currently doing should only involve x_1 and x_2",
"attachments": [],
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"id": 1061579430763438200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:37:39",
"content": "(X_1+x_2)^2?",
"attachments": [],
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/08/2023 04:37:49",
"content": "Ooh that top bit is a little tricky",
"attachments": [],
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:38:04",
"content": "that isn't quite (x_1)^2 + (x_2)^2",
"attachments": [],
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"id": 1061579599261221000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:38:19",
"content": "consider what (x_1+x_2)^2 actually expands out to",
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"id": 1061579797496598700,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:39:06",
"content": "X_1^2+2x_1x_2+x_2^2?",
"attachments": [],
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"id": 1061580228637495400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:40:49",
"content": "$$(x_1 + x_2)^2 = {x_1}^2 + 2x_1x_2 + {x_2}^2$$\nhence\n$${x_1}^2 + {x_2}^2 = \\, ?$$",
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"id": 1061580241723719700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 04:40:52",
"content": "**ℝamonov**",
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"author_name": "Frosst",
"timestamp": "01/08/2023 04:42:01",
"content": "@Pa1n have u learned how to do completing the square",
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"id": 1061580660826972200,
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"author_name": "Pa1n",
"timestamp": "01/08/2023 04:42:32",
"content": "Yes",
"attachments": [],
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"id": 1061581021113483300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/08/2023 04:43:58",
"content": "do completing the square on this\n$x^2 + ax$",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:43:59",
"content": "don't overthink this",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 04:44:00",
"content": "**Frosst**",
"attachments": [
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"id": 1061581107935592600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:44:19",
"content": "don't worry about completing the square",
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"id": 1061581188868866200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:44:38",
"content": "(X_1+x_2)(x_1+x_2)?",
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"id": 1061581203792220200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:44:42",
"content": "no",
"attachments": [],
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"id": 1061581247945654400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:44:52",
"content": "not what I'm looking for",
"attachments": [],
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},
{
"id": 1061581358381674500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:45:19",
"content": "using\n$$(x_1 + x_2)^2 = \\red{{x_1}^2} + 2x_1x_2 + \\red{{x_2}^2}$$\nhence\n$$\\red{{x_1}^2 + {x_2}^2} = , ?$$",
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"id": 1061581370759073800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 04:45:22",
"content": "**ℝamonov**",
"attachments": [
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"id": 1061581464719855700,
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"author_name": "Pa1n",
"timestamp": "01/08/2023 04:45:44",
"content": "Yeah I get it one minute",
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"id": 1061581650212950000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:46:28",
"content": "(X_1+x_2)^2+2x_1x_2",
"attachments": [],
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},
{
"id": 1061581702847266800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:46:41",
"content": "no",
"attachments": [],
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},
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"id": 1061581737886482600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:46:49",
"content": "still no",
"attachments": [],
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"id": 1061581759264866400,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:46:54",
"content": "🥲🥲",
"attachments": [],
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},
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"id": 1061581798779396100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:47:04",
"content": "why is 2x_1x_2 being added",
"attachments": [],
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{
"id": 1061581907852263400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:47:30",
"content": "$a = b + c \\red{\\not\\implies} c = a+b$",
"attachments": [],
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"id": 1061581917067153400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 04:47:32",
"content": "**ℝamonov**",
"attachments": [
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"id": 1061582218515976200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:48:44",
"content": "X_1x_2(x_1+x_2)",
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},
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"id": 1061582236245311500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:48:48",
"content": "no",
"attachments": [],
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"id": 1061582305317101600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:49:04",
"content": "now you've gone who knows where",
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"id": 1061582346647785600,
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:49:14",
"content": "you're overthinking",
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"id": 1061582403308617900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:49:28",
"content": "how would you solve for / isolate c given\na = b + c",
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"id": 1061582426914181100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:49:33",
"content": "c = ?",
"attachments": [],
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"id": 1061582460594434200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:49:41",
"content": "A+b",
"attachments": [],
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},
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"id": 1061582470547509200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:49:44",
"content": "no",
"attachments": [],
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},
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"id": 1061582506941485000,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:49:52",
"content": "Oh sorry",
"attachments": [],
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"id": 1061582538130325500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:50:00",
"content": "are you implying that\n2 = 1 + 1 leads you to\n1 = 2+ 1?",
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"id": 1061582574587216000,
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"author_name": "Pa1n",
"timestamp": "01/08/2023 04:50:09",
"content": "Ok",
"attachments": [],
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},
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"id": 1061582595118338200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:50:13",
"content": "I understand",
"attachments": [],
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"id": 1061582850165592200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:51:14",
"content": "2x_1x_2=",
"attachments": [],
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},
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"id": 1061583052486217700,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:52:02",
"content": "Omg I can't understand 🥲",
"attachments": [],
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},
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"id": 1061583124791836800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:52:20",
"content": "> how would you solve for / isolate c given\n> a = b + c \n> c = ?",
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},
{
"id": 1061583198171181200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:52:37",
"content": "A_-b",
"attachments": [],
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},
{
"id": 1061583222858862600,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:52:43",
"content": "A-b",
"attachments": [],
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},
{
"id": 1061583246510538800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:52:49",
"content": "lowercase a, but yeh",
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"id": 1061583273794474000,
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:52:55",
"content": "now apply that to your question",
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:53:19",
"content": "$$(x_1 + x_2)^2 = \\red{{x_1}^2} + 2x_1x_2 + \\red{{x_2}^2}$$\n$$\\red{{x_1}^2 + {x_2}^2} = , ?$$\n(the exact same principle applies)",
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"id": 1061583386990358500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 04:53:22",
"content": "**ℝamonov**",
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"id": 1061583500622434400,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:53:49",
"content": "2x_1x_2?",
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"id": 1061583519048011900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:53:54",
"content": "no",
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"id": 1061583626434777100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 04:54:19",
"content": "you didn't go from\na = b + c\nto c = b\ndid you?",
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"id": 1061583698081873900,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 04:54:36",
"content": "2x_1^2x_2^2",
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"timestamp": "01/08/2023 04:54:58",
"content": "Yes",
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"content": "no",
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"timestamp": "01/08/2023 04:55:04",
"content": "no you didn't",
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"timestamp": "01/08/2023 04:55:26",
"content": "Hmm",
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"timestamp": "01/08/2023 04:55:28",
"content": "you went from\na = b + c\nto\nc = a - b",
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"timestamp": "01/08/2023 04:55:41",
"content": "Yes",
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:55:47",
"content": "now do the same to your question",
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"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "01/08/2023 04:55:53",
"content": ":sully:",
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"author_name": "ramonov",
"timestamp": "01/08/2023 04:57:46",
"content": "$$\\underbrace{(x_1 + x_2)^2}_{a} = \\underbrace{2x_1x_2}_{b} + \\underbrace{\\red{{x_1}^2} + \\red{{x_2}^2}}_{c}$$\n$$\\underbrace{\\red{{x_1}^2 + {x_2}^2}}_{c} = ?$$\n(the exact same principle applies)",
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"author_name": "TeXit",
"timestamp": "01/08/2023 04:57:49",
"content": "**ℝamonov**",
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"author_name": "Pa1n",
"timestamp": "01/08/2023 04:59:52",
"content": "X_1^2+x_2^2=2x_1x_2-(x_1+x_2)^2",
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"author_name": "ramonov",
"timestamp": "01/08/2023 05:01:11",
"content": "no",
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"author_name": "ramonov",
"timestamp": "01/08/2023 05:01:46",
"content": "you didn't go from\na = b + c\nto c = b - a\ndid you?",
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"author_name": "Pa1n",
"timestamp": "01/08/2023 05:01:52",
"content": "X_1^2+x_2^2=(x_1+x_2)^2-2x_1x_2",
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"id": 1061585545400172500,
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"author_name": "ramonov",
"timestamp": "01/08/2023 05:01:57",
"content": "yes, finally",
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"id": 1061585578543550500,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:02:05",
"content": "🥲finally!",
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"id": 1061585633258242200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:02:18",
"content": "Thanks a lot",
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"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:02:21",
"content": "And next?",
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"author_name": "ramonov",
"timestamp": "01/08/2023 05:04:06",
"content": "now after all that you have gone from\n$$x_1{x_2}^{-1} + x_2{x_1}^{-1}$$\nto\n$$\\frac{(x_1 + x_2)^2 -2x_1x_2}{x_1x_2}$$",
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"author_name": "TeXit",
"timestamp": "01/08/2023 05:04:09",
"content": "**ℝamonov**",
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"author_name": "ramonov",
"timestamp": "01/08/2023 05:04:30",
"content": "as mentioned earlier\n> now note that unlike the roots themselves,\n> `x_1 * x_2`, the product of roots is a nice value that can be easily identifiable from the quadratic\n> similarly `x_1 + x_2`, the sum of roots is a nice value that can be easily identifiable from the quadratic",
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"author_name": "Pa1n",
"timestamp": "01/08/2023 05:05:20",
"content": "It Means I don't need to do something with equation",
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"author_name": "ramonov",
"timestamp": "01/08/2023 05:06:19",
"content": "tedious manipulation of the quadratic equation isn't needed,\nknowing how to identify the sum and product of roots from it is enough",
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"timestamp": "01/08/2023 05:06:42",
"content": "(which you then substitute into what you just reached)",
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"author_name": "Pa1n",
"timestamp": "01/08/2023 05:09:00",
"content": "Yes it means this is our final result?",
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"timestamp": "01/08/2023 05:09:41",
"content": "no",
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"author_name": "Pa1n",
"timestamp": "01/08/2023 05:09:50",
"content": "Then",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 05:09:59",
"content": "i've already stated what to do",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 05:10:09",
"content": "i don't plan on repeating myself",
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"id": 1061587639200923600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 05:10:16",
"content": "i'd just be copy and pasting",
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"id": 1061587864464396300,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:11:10",
"content": "Oh",
"attachments": [],
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"id": 1061587914330492900,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:11:22",
"content": "I get it. I don't need to solve that",
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"id": 1061587966138515500,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:11:34",
"content": "Just write right haha",
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"id": 1061588039098441700,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:11:51",
"content": "What you had mentioned",
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"id": 1061588060359372900,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:11:56",
"content": "Right?",
"attachments": [],
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"id": 1061588527776792700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 05:13:48",
"content": "wdym by write right?",
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"id": 1061589057244766200,
"author_id": 891173804997501000,
"author_name": "Pa1n",
"timestamp": "01/08/2023 05:15:54",
"content": "The answer",
"attachments": [],
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"id": 1061590433618219000,
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"author_name": "ramonov",
"timestamp": "01/08/2023 05:21:22",
"content": "wdym",
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"author_name": "ramonov",
"timestamp": "01/08/2023 05:22:17",
"content": "the instructions I described will lead you to the final answer\nand that's what you'd write...",
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"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 05:30:55",
"content": "@Pa1n Has your question been resolved?",
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"timestamp": "01/08/2023 05:31:57",
"content": "Channel closed",
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] | help-9 | e38824120a3e45ffa75da1cebcac6c03 |
200,617 | [
{
"id": 1061603002252800100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 06:11:19",
"content": "Available help channel!",
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"author_id": 566166218952933400,
"author_name": "Zabijaku",
"timestamp": "01/08/2023 06:23:44",
"content": "Hey",
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"content": "Pinned a message.",
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"author_id": 566166218952933400,
"author_name": "Zabijaku",
"timestamp": "01/08/2023 06:24:54",
"content": "How do i make this test on the math equation when its X=Ø\"\nBasically the X got to 0 and its 6=5",
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"id": 1061606576542195700,
"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/08/2023 06:25:31",
"content": "can you show the equation",
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"id": 1061607006370279600,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "01/08/2023 06:27:14",
"content": "with` x got to 0` you mean that all x somewhat cancelled out and you got 5=6 left?",
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"author_name": "Zabijaku",
"timestamp": "01/08/2023 06:27:45",
"content": "Yes",
"attachments": [],
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"author_name": "Zabijaku",
"timestamp": "01/08/2023 06:27:46",
"content": "Yes",
"attachments": [],
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"author_id": 566166218952933400,
"author_name": "Zabijaku",
"timestamp": "01/08/2023 06:27:48",
"content": "Exactly",
"attachments": [],
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"id": 1061607225682043000,
"author_id": 566166218952933400,
"author_name": "Zabijaku",
"timestamp": "01/08/2023 06:28:06",
"content": "x-2(x-3)=5-x",
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"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "01/08/2023 06:29:16",
"content": "what do you want to test though, it's not like you got values that you could try",
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"author_name": "Jigglyproff",
"timestamp": "01/08/2023 06:29:33",
"content": "you can put anything into x and it will cancel out, it will always be 5=6",
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"id": 1061607760522920000,
"author_id": 566166218952933400,
"author_name": "Zabijaku",
"timestamp": "01/08/2023 06:30:13",
"content": "So i cant try it right?",
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"id": 1061607801249603600,
"author_id": 566166218952933400,
"author_name": "Zabijaku",
"timestamp": "01/08/2023 06:30:23",
"content": "Cuz my teacher told us to",
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"author_name": "Jigglyproff",
"timestamp": "01/08/2023 06:30:34",
"content": "well you can put anything as x",
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"id": 1061607870837301400,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "01/08/2023 06:30:40",
"content": "but it will not matter",
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"id": 1061609982065385600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/08/2023 06:39:03",
"content": "basically it means that there are no solutions",
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"id": 1061610010053980300,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/08/2023 06:39:10",
"content": "because 5 != 6",
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"id": 1061610044849930200,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/08/2023 06:39:18",
"content": "no value of x can make the equation true",
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"timestamp": "01/08/2023 06:45:23",
"content": "@Zabijaku Has your question been resolved?",
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"timestamp": "01/08/2023 07:00:24",
"content": "Channel closed",
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] | help-9 | dc21413a32794bf4a63a987fa72962ee |
200,618 | [
{
"id": 1061615606945824900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 07:01:24",
"content": "Available help channel!",
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},
{
"id": 1061616642779516900,
"author_id": 954062091269075000,
"author_name": "pipinstallbrain",
"timestamp": "01/08/2023 07:05:31",
"content": "Why do I keep going for the opposite signs at the end, how can I stop myself from making this mistake, as lim approaches 3/2 from the right side, the answer is –inf and vice versa, how can I understand this better?",
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"timestamp": "01/08/2023 07:05:32",
"content": "Pinned a message.",
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"author_name": "pipinstallbrain",
"timestamp": "01/08/2023 07:06:26",
"content": "Any help would be appreciated",
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},
{
"id": 1061617338610356200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 07:08:17",
"content": "how'd you end up with 0+ and 0- respectively",
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"id": 1061618399567949800,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "01/08/2023 07:12:30",
"content": "if you have 3/2 approaching from the right as you do on the first line, then x>3/2 \n\nMeaning 3x-2x^2 < 0",
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"timestamp": "01/08/2023 07:12:49",
"content": "which is positive / negative which is -inf",
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"author_name": "pipinstallbrain",
"timestamp": "01/08/2023 07:12:57",
"content": "This is how I’m understanding it in my mind, i want to know what part of it I’m making it wrong",
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"timestamp": "01/08/2023 07:13:20",
"content": "3-3^+ isn't 0^+",
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"id": 1061618717399724000,
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"timestamp": "01/08/2023 07:13:46",
"content": "subtracting something a bit more than itself gets you something negative",
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"timestamp": "01/08/2023 07:14:59",
"content": "Ahhhh that’s how i should be thinking, right, sorry I’m too dumb and these are the things that cost me points and problems in life ☹️",
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"timestamp": "01/08/2023 07:15:20",
"content": "using the simplest example\n0 - 0.001 is negative",
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"timestamp": "01/08/2023 07:16:04",
"content": "Thankyou so much for clarifying this small mistake and being patient about it 🙏",
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"content": ".close",
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},
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"id": 1061619368443781200,
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"timestamp": "01/08/2023 07:16:21",
"content": "Channel closed",
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}
] | help-9 | a63f5e83fc664f6cb0301e11b0eccd97 |
200,619 | [
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"timestamp": "01/08/2023 07:17:21",
"content": "Available help channel!",
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},
{
"id": 1061621000992723000,
"author_id": 606739386381369300,
"author_name": "Jayden the Juice",
"timestamp": "01/08/2023 07:22:50",
"content": "How do I prove J?",
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"id": 1061621530850762800,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "01/08/2023 07:24:56",
"content": "Rewrite everything in terms of sin and cos",
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},
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"author_id": 709050483335102600,
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"timestamp": "01/08/2023 07:25:01",
"content": "Prove LHS=RHS",
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},
{
"id": 1061621913941712900,
"author_id": 606739386381369300,
"author_name": "Jayden the Juice",
"timestamp": "01/08/2023 07:26:28",
"content": "What do I do after this?",
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"timestamp": "01/08/2023 07:41:28",
"content": "@Jayden the Juice Has your question been resolved?",
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"timestamp": "01/08/2023 08:15:22",
"content": "@Jayden the Juice Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | 88da85387f29435f86d6544244fcaeec |
200,620 | [
{
"id": 1033117377103142900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 16:39:37",
"content": "Available help channel!",
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},
{
"id": 1033118844065169500,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/21/2022 16:45:26",
"content": "please someone",
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"content": "Pinned a message.",
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"id": 1033119421838938200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:47:44",
"content": "what exactly are you struggling with",
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"id": 1033119439123665000,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:47:48",
"content": "do you know how to find the derivtiave?",
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{
"id": 1033119715876409300,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/21/2022 16:48:54",
"content": "ye which is 6(3x-2)^2",
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{
"id": 1033119744762585200,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/21/2022 16:49:01",
"content": "but idk what to do from there",
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},
{
"id": 1033119756942839800,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:49:04",
"content": "nice ok",
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"id": 1033119850970746900,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:49:26",
"content": "so that tells us the gradient of y at a point x",
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"id": 1033119889466073100,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:49:36",
"content": "so gradient of y at point x = 1 would be a",
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{
"id": 1033119955643814000,
"author_id": 206506575416918000,
"author_name": "HööSTëëN",
"timestamp": "10/21/2022 16:49:51",
"content": "I think you made a mistake calculating the derivative",
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"id": 1033120036992331800,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:50:11",
"content": "oh I didn't notice aha",
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"id": 1033120055841542300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:50:15",
"content": "yeah you did I just assuemd it was correct",
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"id": 1033120138171523100,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/21/2022 16:50:35",
"content": "i mean 9(3x-2)^2",
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"id": 1033120151140315100,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:50:38",
"content": "ye",
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"id": 1033121044556431400,
"author_id": 828208556334514200,
"author_name": "-Zednar",
"timestamp": "10/21/2022 16:54:11",
"content": "now what?",
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"id": 1033121434471502000,
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"author_name": "bo luo",
"timestamp": "10/21/2022 16:55:44",
"content": "well you have the gradient",
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"id": 1033121464360124500,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:55:51",
"content": "so you just need to find a point it goes through",
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{
"id": 1033121513571897500,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:56:03",
"content": "to find b",
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},
{
"id": 1033121554579587100,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 16:56:13",
"content": "use the x coordinate already given for that",
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"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 17:09:11",
"content": "@-Zednar Has your question been resolved?",
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"author_name": "-Zednar",
"timestamp": "10/21/2022 17:15:23",
"content": "how do i do that",
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"id": 1033126748252016800,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 17:16:51",
"content": "just lpug it in",
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},
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"id": 1033126761728315500,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 17:16:54",
"content": "plug x = 1 in",
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"id": 1033126782670475300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/21/2022 17:16:59",
"content": "to find the point that it goes throguh",
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},
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"id": 1033128596908290000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 17:24:12",
"content": "Channel closed",
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}
] | help-9 | 46a1b44b6b1d458f9c6916b717af0ece |
200,621 | [
{
"id": 1035335664683729000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 19:34:18",
"content": "Available help channel!",
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},
{
"id": 1035338045139976300,
"author_id": 427513058705801200,
"author_name": "man_in_matrix",
"timestamp": "10/27/2022 19:43:45",
"content": "Algebra 2 Question here\nYou are playing a game of horseshoes. One of your tosses is modeled in the diagram, where x is the horseshoe’s horizontal position (in feet) and y is the corresponding height (in feet). Find the maximum height of the horseshoe. Then find the distance the horseshoe travels. Round to the nearest hundredth, if necessary. \nThe horse shoe can be modeled by y=-0.01x^2+0.3x+2\n\nI found the max height but am struggling to find the distance traveled",
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"id": 1035338047073566800,
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"timestamp": "10/27/2022 19:43:46",
"content": "Pinned a message.",
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"id": 1035339228046962700,
"author_id": 427513058705801200,
"author_name": "man_in_matrix",
"timestamp": "10/27/2022 19:48:27",
"content": "The max height is (15, 4.25)",
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"reference": null
},
{
"id": 1035339280207319000,
"author_id": 427513058705801200,
"author_name": "man_in_matrix",
"timestamp": "10/27/2022 19:48:40",
"content": "image of the problem",
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{
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"id": 1035341508955619300,
"author_id": 427513058705801200,
"author_name": "man_in_matrix",
"timestamp": "10/27/2022 19:57:31",
"content": "@Helpers",
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},
{
"id": 1035343453300736000,
"author_id": 910156963181101000,
"author_name": "Galm_1",
"timestamp": "10/27/2022 20:05:15",
"content": "I mean, you just have to equate the equation to zero",
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},
{
"id": 1035343496397205500,
"author_id": 427513058705801200,
"author_name": "man_in_matrix",
"timestamp": "10/27/2022 20:05:25",
"content": "yea i just figured that out",
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},
{
"id": 1035343579427635300,
"author_id": 910156963181101000,
"author_name": "Galm_1",
"timestamp": "10/27/2022 20:05:45",
"content": "Ok cool, hope this stills helps",
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},
{
"id": 1035343611522465800,
"author_id": 427513058705801200,
"author_name": "man_in_matrix",
"timestamp": "10/27/2022 20:05:52",
"content": "yea thanks",
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},
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"id": 1035344478954860700,
"author_id": 427513058705801200,
"author_name": "man_in_matrix",
"timestamp": "10/27/2022 20:09:19",
"content": ".close",
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},
{
"id": 1035344481370771600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 20:09:20",
"content": "Channel closed",
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}
] | help-9 | 9b7326001c9f42a385bdee3e01d63cfa |
200,622 | [
{
"id": 1061642022773067800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 08:46:22",
"content": "Available help channel!",
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},
{
"id": 1061645256610820100,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "01/08/2023 08:59:13",
"content": "could anyone help me find ∂z/ ∂x∂y of z + ln(z) - xy = 0",
"attachments": [],
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},
{
"id": 1061645258896719900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 08:59:14",
"content": "Pinned a message.",
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{
"id": 1061645360545665000,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "01/08/2023 08:59:38",
"content": "i tried finding could anyone help me find ∂z/ ∂x first",
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},
{
"id": 1061645445262229600,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "01/08/2023 08:59:58",
"content": "by taking the partial derivative on both sides w respect to x",
"attachments": [],
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},
{
"id": 1061645455647326200,
"author_id": 656086842747256800,
"author_name": "Akom",
"timestamp": "01/08/2023 09:00:01",
"content": "dose anyone know?",
"attachments": [],
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},
{
"id": 1061645458516213800,
"author_id": 656086842747256800,
"author_name": "Akom",
"timestamp": "01/08/2023 09:00:01",
"content": "",
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{
"id": 1061645527000809500,
"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/08/2023 09:00:18",
"content": "get your own channel #❓how-to-get-help",
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{
"id": 1061645541114650800,
"author_id": 318313050404814850,
"author_name": "ikraamampampam",
"timestamp": "01/08/2023 09:00:21",
"content": "this channel is occupied bro",
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},
{
"id": 1061645570839687200,
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"author_name": "Ryuzaki",
"timestamp": "01/08/2023 09:00:28",
"content": "what have you tried?",
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"content": "there's not much really to do here apart from taking the pdv",
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"content": "i tried putting the xy to the other side so i could take the partial derivative of both sides but the answer is supposed to be this",
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"timestamp": "01/08/2023 09:17:38",
"content": "@angel. Has your question been resolved?",
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"content": "@angel. Has your question been resolved?",
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"content": "@angel. Has your question been resolved?",
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"timestamp": "01/08/2023 11:14:19",
"content": "@Helpers ?🙏",
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"timestamp": "01/08/2023 11:57:54",
"content": "Stop tagging",
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"timestamp": "01/08/2023 12:38:26",
"content": "I reached this answer",
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"timestamp": "01/08/2023 12:39:13",
"content": "Take the partial derivative once with respect to y and call it Zy, and once with respect to x and call it Zx",
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"timestamp": "01/08/2023 12:39:35",
"content": "Then you'd take the partial derivative of Zy wrt x",
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"timestamp": "01/08/2023 12:39:43",
"content": "You will get Zx's appearing",
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"timestamp": "01/08/2023 12:39:57",
"content": "You replace them with what you got from before",
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"timestamp": "01/08/2023 12:40:27",
"content": "Algebraic manipulation will then get you to this answer",
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"timestamp": "01/08/2023 12:40:43",
"content": "Just be careful when applying the partial derivatives",
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"timestamp": "01/08/2023 12:42:42",
"content": "like so?",
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"timestamp": "01/08/2023 12:42:57",
"content": "Yes",
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"timestamp": "01/08/2023 12:43:07",
"content": "Do you remember implicit differentiation?",
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"timestamp": "01/08/2023 12:43:34",
"content": "Since z is a function of x and y",
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"timestamp": "01/08/2023 12:44:45",
"content": "You can differentiate the equation with respect to x and y while keeping in mind that z is a function of x and y.",
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"timestamp": "01/08/2023 12:48:18",
"content": "So when you differentiate it with respect to x, you will get the derivative of whatever situation it is on (power on it, inside sine, inside natural log, etc) multiplied by the derivative of itself with respect to x.",
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"timestamp": "01/08/2023 12:48:26",
"content": "Aka chain rule",
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"timestamp": "01/08/2023 12:49:20",
"content": "Example: z^2 =xy",
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"timestamp": "01/08/2023 12:49:47",
"content": "2z(∂z/∂x) = y",
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"timestamp": "01/08/2023 12:50:04",
"content": "@angel.",
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"timestamp": "01/08/2023 12:50:18",
"content": "Does this make sense?",
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"timestamp": "01/08/2023 12:50:52",
"content": "You'd also treat the derivative of z with respect to anything as a function",
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"timestamp": "01/08/2023 12:51:14",
"content": "So you apply product rule and quotient rule on it if it is multiplied to another function",
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"timestamp": "01/08/2023 12:55:27",
"content": "is this alr okay",
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"timestamp": "01/08/2023 12:56:36",
"content": "You apply this to the entire equation",
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"timestamp": "01/08/2023 13:00:26",
"content": "Also you treat x as a constant when differentiating with respect to y",
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"timestamp": "01/08/2023 13:00:43",
"content": "And vice verse when you are differentiating with respect to x",
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"timestamp": "01/08/2023 13:02:47",
"content": "Okay nice but you keep in mind",
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"timestamp": "01/08/2023 13:03:07",
"content": "That Zx = (∂z/∂x)",
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"timestamp": "01/08/2023 13:03:14",
"content": "And Zy = (∂z/∂y)",
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"timestamp": "01/08/2023 13:03:43",
"content": "And Zyx = ∂z/(∂x∂y)",
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"timestamp": "01/08/2023 13:04:03",
"content": "And Zxy = ∂z/(∂y∂x)",
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"timestamp": "01/08/2023 13:06:24",
"content": "okay but im not sure what i can do now :((",
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"timestamp": "01/08/2023 13:08:19",
"content": "do i solve Zx to (∂z/∂x) =?",
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"timestamp": "01/08/2023 13:08:31",
"content": "or r u not allowed to do that ^",
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"timestamp": "01/08/2023 13:09:15",
"content": "No Zx is another way to write ∂z/∂x",
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"timestamp": "01/08/2023 13:10:35",
"content": "yess thats what i meant i wasnt sure if i could add up the 1 and 1/z",
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"content": "You can by multiplying 1 by z",
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"timestamp": "01/08/2023 13:11:04",
"content": "You get (z+1)/z",
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"timestamp": "01/08/2023 13:11:31",
"content": "Make them have a common denominator basically",
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"timestamp": "01/08/2023 13:14:14",
"content": "okayg got it so now i put those in (∂/∂x)(Zy) ?",
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"timestamp": "01/08/2023 13:14:26",
"content": "Yeah",
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"timestamp": "01/08/2023 13:14:49",
"content": "Zyx is another way to write ∂^2 z/∂x∂y",
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"timestamp": "01/08/2023 13:19:23",
"content": "is this right?.. seems very complicated",
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"timestamp": "01/08/2023 13:19:47",
"content": "You defined Zy right?",
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"timestamp": "01/08/2023 13:19:50",
"content": "By itself",
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"timestamp": "01/08/2023 13:20:09",
"content": "$z_y = \\frac{xz}{z+1}$",
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"timestamp": "01/08/2023 13:20:11",
"content": "**VulcanOne**",
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"timestamp": "01/08/2023 13:20:18",
"content": "Right?",
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"timestamp": "01/08/2023 13:20:32",
"content": "yes",
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"timestamp": "01/08/2023 13:20:46",
"content": "Okay why don't you differentiate that with respect to x?",
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"timestamp": "01/08/2023 13:20:52",
"content": "A lot simpler",
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"timestamp": "01/08/2023 13:20:53",
"content": "No?",
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"timestamp": "01/08/2023 13:21:09",
"content": "omg yea hahah",
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"timestamp": "01/08/2023 13:25:13",
"content": "Yep",
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"content": "Btw",
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"author_name": "VulcanOne",
"timestamp": "01/08/2023 13:25:44",
"content": "Take the $\\frac{1}{(z+1)^2}$ outside so that you can have an easier time",
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"content": "**VulcanOne**",
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"timestamp": "01/08/2023 13:27:08",
"content": "got it, thank u so much !!!!",
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"content": ":librasmile:",
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] | help-9 | 6950d4dba7964db4882d46c8bcee0358 |
200,623 | [
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"content": "I can bisect a line i think but never seen it in terms of for angles",
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"content": "Got it",
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"timestamp": "01/08/2023 13:56:26",
"content": "Oh ok",
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"content": "Channel closed",
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] | help-9 | f4ee0181463549f383e0013bf2f76092 |
200,624 | [
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"author_name": "Scwible",
"timestamp": "01/08/2023 14:07:47",
"content": "Do u know that perpendicular slopes are negative reciprocals of each other",
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"content": "@Scwible we don't give full solutions here. This is a help group, not an answer group.",
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"timestamp": "01/08/2023 14:12:59",
"content": "oh",
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"id": 1061724396479332500,
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"author_name": "Scwible",
"timestamp": "01/08/2023 14:13:42",
"content": "sorry",
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{
"id": 1061724411297800300,
"author_id": 826233367904124900,
"author_name": "Scwible",
"timestamp": "01/08/2023 14:13:45",
"content": "fixed",
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"id": 1061724417253703800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 14:13:46",
"content": "Nw",
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"author_name": "Scwible",
"timestamp": "01/08/2023 14:14:44",
"content": "i'll tell what a negatinve reciprocal is?",
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"id": 1061724804484452500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 14:15:19",
"content": "Judgement call. It's helpful without giving too much imo",
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"id": 1061724844284190700,
"author_id": 826233367904124900,
"author_name": "Scwible",
"timestamp": "01/08/2023 14:15:28",
"content": "yes",
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"id": 1061725032398729300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 14:16:13",
"content": "I try to loosely follow the Socratic method, where I just ask a lot of questions, in hopes I can get the student thinking about the problem in a way that can help them solve it",
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"id": 1061725146064367600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 14:16:40",
"content": "Asking what they have tried so far is always a good first question",
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"id": 1061725468547620900,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 14:17:57",
"content": "If they've tried nothing, then I'll ask if they have any ideas. Let's say they have none. Then I ask them questions about the properties required to solve the problem. E.g \"do you know how to find a slope perpendicular to a line?\"",
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"id": 1061725525686624400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 14:18:11",
"content": "It's a whole process",
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"id": 1061725639285153800,
"author_id": 826233367904124900,
"author_name": "Scwible",
"timestamp": "01/08/2023 14:18:38",
"content": "hinting on the solving process",
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"id": 1061725767215616100,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 14:19:08",
"content": "But that's just one method. Help however you see fit, just try not to give full answers as it's technically academic dishonesty if they end up using it.",
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"id": 1061726126977843300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 14:20:34",
"content": "I only make exception to this rule if the person is self learning or if they're asking a yes or no question that they may just be reviewing. E.g \"does Pythagorean theorem only apply to right triangles?\"",
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"timestamp": "01/08/2023 14:21:39",
"content": "sure",
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"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 14:26:39",
"content": "@Brian Kelly Has your question been resolved?",
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"timestamp": "01/08/2023 14:41:40",
"content": "Channel closed",
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}
] | help-9 | 2c373a52ae114dd682d62fa504856399 |
200,625 | [
{
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"timestamp": "01/08/2023 14:46:40",
"content": "Available help channel!",
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},
{
"id": 1061733572144267300,
"author_id": 693531172059217900,
"author_name": "phoestaclies",
"timestamp": "01/08/2023 14:50:09",
"content": "how to solve this diophantine equation with x and y positive integers : 19x + 13y = 1000",
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},
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"id": 1061733574862180500,
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"timestamp": "01/08/2023 14:50:10",
"content": "Pinned a message.",
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"content": "@phoestaclies Has your question been resolved?",
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"timestamp": "01/08/2023 15:36:06",
"content": "@phoestaclies Has your question been resolved?",
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"id": 1061755119911325700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "01/08/2023 16:15:47",
"content": "https://math.stackexchange.com/questions/3174625/solve-this-diophantine-equation-11x13y-1000-where-x-y-belongs-to-posi",
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"author_name": "phoestaclies",
"timestamp": "01/08/2023 16:22:09",
"content": "can you explain me just the part with 12 = 11x (mod 13) the equal is modulo not an equal",
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"id": 1061756956169220100,
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"author_name": "phoestaclies",
"timestamp": "01/08/2023 16:23:04",
"content": "ok no sorry",
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"id": 1061757080668754000,
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"author_name": "phoestaclies",
"timestamp": "01/08/2023 16:23:34",
"content": "yes thanks for the link it's clear 🙂",
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"id": 1061757099643781200,
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"timestamp": "01/08/2023 16:23:39",
"content": ".close",
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"timestamp": "01/08/2023 16:23:40",
"content": "Channel closed",
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}
] | help-9 | 58118802b333471c8539f387592603bb |
200,626 | [
{
"id": 1061757278325317800,
"author_id": 693531172059217900,
"author_name": "phoestaclies",
"timestamp": "01/08/2023 16:24:21",
"content": ".reopen",
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"id": 1061757290321031300,
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"content": "✅",
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"id": 1061757640016924800,
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"author_name": "phoestaclies",
"timestamp": "01/08/2023 16:25:47",
"content": "can someone explain how we pass 12 = 11x (mod 13) to x = 7 mod (13)",
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"id": 1061757739707150500,
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"timestamp": "01/08/2023 16:26:11",
"content": "it's not the actual equal sign sorry just for the modulo",
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"id": 1061757811291324400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/08/2023 16:26:28",
"content": "Find a solution mod 13 for x",
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{
"id": 1061757891499020400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/08/2023 16:26:47",
"content": "One way you can do it is to keep adding 13 to the left side until you get a multiple of 11",
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{
"id": 1061757903456976900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/08/2023 16:26:50",
"content": "we find the inverse of 11 mod 13",
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},
{
"id": 1061757989159190700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/08/2023 16:27:11",
"content": "then multiply both sides by that",
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},
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"id": 1061758058130313300,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/08/2023 16:27:27",
"content": "Oh thats a thing",
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"id": 1061758069958254600,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/08/2023 16:27:30",
"content": "Right",
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"id": 1061758139059404800,
"author_id": 693531172059217900,
"author_name": "phoestaclies",
"timestamp": "01/08/2023 16:27:46",
"content": "?",
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},
{
"id": 1061758327048118300,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/08/2023 16:28:31",
"content": "Find a number so that 11n cong 1 (mod13)",
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},
{
"id": 1061758418223890400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/08/2023 16:28:53",
"content": "Then multiply both sides of the orignal equation by the n",
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"id": 1061758444870324200,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/08/2023 16:28:59",
"content": "Or you can do my cheats method",
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"id": 1061758818440204400,
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"author_name": "phoestaclies",
"timestamp": "01/08/2023 16:30:28",
"content": "ah ok sorry thanks",
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},
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"id": 1061758991321014400,
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"author_name": "phoestaclies",
"timestamp": "01/08/2023 16:31:10",
"content": ".close",
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"timestamp": "01/08/2023 16:31:10",
"content": "Channel closed",
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}
] | help-9 | 8338106c8b774b31b0cb3649009d674a |
200,627 | [
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"content": "Available help channel!",
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"timestamp": "01/08/2023 17:06:48",
"content": "Pinned a message.",
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] | help-9 | 939066aec8054bd4bec35bd337c94b50 |
200,628 | [
{
"id": 1061773111210553300,
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"timestamp": "01/08/2023 17:27:16",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"content": "Is the red line a must?",
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"author_name": "CuteKitty123",
"timestamp": "01/08/2023 17:29:54",
"content": "Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and the kite string forms a straight segment that is 90 feet long.\n\nExplain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.",
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"id": 1061773816453414900,
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"author_name": "Mortta",
"timestamp": "01/08/2023 17:30:04",
"content": "Kinda yea",
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"timestamp": "01/08/2023 17:30:05",
"content": "coz like",
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"id": 1061773846430105700,
"author_id": 318024849333288960,
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"timestamp": "01/08/2023 17:30:11",
"content": "u cant sqrt(-4)",
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"author_name": "Mortta",
"timestamp": "01/08/2023 17:30:15",
"content": "or like any negative number",
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"timestamp": "01/08/2023 17:30:19",
"content": "so it has to take ths abs value",
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"timestamp": "01/08/2023 17:30:45",
"content": "kk thx",
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"id": 1061773993117503500,
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 7016cfbd0bb5448c927d49e51b7eb972 |
200,629 | [
{
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"content": "Available help channel!",
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"id": 1061775938637013000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/08/2023 17:38:30",
"content": "if two vectors r orthogonal",
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"timestamp": "01/08/2023 17:38:45",
"content": "does it always mean that the angle between them is 90 degrees?",
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"id": 1061776408638132200,
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"author_name": "chartbit",
"timestamp": "01/08/2023 17:40:22",
"content": "(at least in the context of R^n and the dot product)",
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"id": 1061776488090849400,
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"content": "kl",
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"id": 1061776514380734500,
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"timestamp": "01/08/2023 17:40:47",
"content": "thx",
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"id": 1061776795508154500,
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"timestamp": "01/08/2023 17:41:54",
"content": "could u go over this proof with me plz",
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"id": 1061776823379308700,
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"timestamp": "01/08/2023 17:42:01",
"content": "bit stuck on whats happening here",
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"id": 1061777148509159400,
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"content": "What's the statement it's trying to prove?",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "01/08/2023 17:43:45",
"content": "if you are talking about Euclidean geometry then yes :EYES: \nI don't think there is a notion of angle in others vector space",
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"content": "SRy gimme 5 mins",
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"timestamp": "01/08/2023 17:47:33",
"content": "Wifi gone",
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"id": 1061778230455054500,
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"timestamp": "01/08/2023 17:47:37",
"content": "Stuck on mobile data",
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"timestamp": "01/08/2023 17:47:56",
"content": "Ah fair fair, don't worry, take your time",
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"id": 1061778537679441900,
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"timestamp": "01/08/2023 17:48:50",
"content": "here it is",
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"id": 1061778561540837500,
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"timestamp": "01/08/2023 17:48:55",
"content": "gotta do something else",
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"id": 1061778584605298800,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/08/2023 17:49:01",
"content": "will be back in 5 mins",
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"id": 1061778587860074600,
"author_id": 849961886874730500,
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"timestamp": "01/08/2023 17:49:02",
"content": "sry",
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"id": 1061778774926053400,
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"author_name": "chartbit",
"timestamp": "01/08/2023 17:49:46",
"content": "Cool let me know when you're ready then",
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"id": 1061781629892300800,
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"timestamp": "01/08/2023 18:01:07",
"content": "hey",
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"timestamp": "01/08/2023 18:01:09",
"content": "back",
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{
"id": 1061781646174593200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/08/2023 18:01:11",
"content": "sryu",
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"id": 1061781778219663400,
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"author_name": "chartbit",
"timestamp": "01/08/2023 18:01:42",
"content": "Yep so tell me where you'd like me to explain :happy:",
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"id": 1061782151172997100,
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"timestamp": "01/08/2023 18:03:11",
"content": "so firstly",
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"id": 1061782153672802300,
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"author_name": "chartbit",
"timestamp": "01/08/2023 18:03:12",
"content": "I'll start by saying a line has equation $\\mathbf{a} + t\\mathbf{v}$ for some nonzero direction vector $\\mathbf{v}$, and because any scaling of the direction vector is fine, you may as well choose a normalised one",
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"id": 1061782164477329500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 18:03:14",
"content": "**chartbit**",
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"timestamp": "01/08/2023 18:03:15",
"content": "what r we acc proving lol",
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"id": 1061782564282576900,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/08/2023 18:04:50",
"content": "Basically you want to show that if you have a line, and you have some point not on it, and you work out the distances from that point to the line",
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"id": 1061782632796536800,
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"timestamp": "01/08/2023 18:05:06",
"content": "The smallest such distance will be where you're perpendicular",
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"id": 1061782655445774300,
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"timestamp": "01/08/2023 18:05:12",
"content": "Draw a picture",
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"id": 1061782715617267700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/08/2023 18:05:26",
"content": "oh i see",
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"id": 1061782861507723300,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/08/2023 18:06:01",
"content": "Are you happy with this?",
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"id": 1061782939005894700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/08/2023 18:06:19",
"content": "yes",
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"timestamp": "01/08/2023 18:07:10",
"content": "Cool, so let that $\\mathbf{p} = \\mathbf{a} + t\\mathbf{v}$, with our $\\mathbf{v}$ chosen so that it's of norm 1",
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"id": 1061783161840869500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/08/2023 18:07:12",
"content": "**chartbit**",
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"id": 1061783332767150100,
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"timestamp": "01/08/2023 18:07:53",
"content": "Then they work out $\\norm{\\vec{pq}}^{2} = \\norm{\\mathbf{q} - \\mathbf{q}}^{2}$ as they did, using the dot product",
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"id": 1061783558764646400,
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"timestamp": "01/08/2023 18:08:47",
"content": "**chartbit**",
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"id": 1061784227621908500,
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"timestamp": "01/08/2023 18:11:26",
"content": "ye i see",
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"id": 1061784338619973600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/08/2023 18:11:53",
"content": "Do all of their steps make sense?",
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"id": 1061784379711574000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/08/2023 18:12:03",
"content": "ye",
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"id": 1061784410388713500,
"author_id": 849961886874730500,
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"timestamp": "01/08/2023 18:12:10",
"content": "ok i think i get it now",
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},
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"id": 1061784435130900500,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/08/2023 18:12:16",
"content": "main this i understand is whats going on",
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"id": 1061784626584113200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/08/2023 18:13:01",
"content": "Yep as long as you can follow their steps, that's the most important thing :kekw:",
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"id": 1061788210931437600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 18:27:16",
"content": "@SA2017 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 18:27:22",
"content": "Channel closed",
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}
] | help-9 | 35288ea829ea4afd921ec7508ff3670f |
200,630 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 18:28:23",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "01/08/2023 18:33:07",
"content": "what happened to yellow",
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"id": 1061789748152250400,
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"author_name": "riemann",
"timestamp": "01/08/2023 18:33:23",
"content": "Factored it out with the first term",
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"id": 1061789964725129200,
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"timestamp": "01/08/2023 18:34:14",
"content": "i cant see it",
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"id": 1061790001324642400,
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"author_name": "Insidias",
"timestamp": "01/08/2023 18:34:23",
"content": "its just gone",
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"id": 1061790067804340400,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/08/2023 18:34:39",
"content": "the 32 term minus the 7 term",
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"author_name": "barometer",
"timestamp": "01/08/2023 18:34:48",
"content": "this bad boy",
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"author_name": "barometer",
"timestamp": "01/08/2023 18:35:07",
"content": "and this term",
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"timestamp": "01/08/2023 18:35:24",
"content": "becomes this term",
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"author_name": "riemann",
"timestamp": "01/08/2023 18:36:50",
"content": "Do you know how to simplify ab-ca?",
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"timestamp": "01/08/2023 18:38:12",
"content": "no",
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"timestamp": "01/08/2023 18:38:44",
"content": "ab-ca = ab - ac = a(b-c)",
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"timestamp": "01/08/2023 18:42:30",
"content": "",
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"id": 1061792064406290400,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:42:35",
"content": "Oh like this",
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},
{
"id": 1061792187207143600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:43:04",
"content": "principle of combining like terms",
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"id": 1061792264290050200,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:43:22",
"content": "I didn’t know u can just move - around",
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"id": 1061792284061999100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:43:27",
"content": "eg if you had 32 apples and I snatched 7 apples from you",
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"id": 1061792327770853500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:43:38",
"content": "how many apples would you have left",
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},
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"id": 1061792357894336600,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:43:45",
"content": "25",
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},
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"id": 1061792784543121500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:45:26",
"content": "you can view -7 * 5^(2n)\nas + (-7 * 5^(2n))\nand adjust the order you add from the commutative property of addition",
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"id": 1061793063338516500,
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"author_name": "ramonov",
"timestamp": "01/08/2023 18:46:33",
"content": "similar to\n123456789 + 987654321 - 123456789\nthere's no need to explicitly add\n`123456789 + 987654321`\nfirst",
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"id": 1061793385901457500,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:47:50",
"content": "Oh it confused me. Bc i got a rule stuck in my head where u are not allowed to move - around and division k think",
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"id": 1061793666567508100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:48:57",
"content": "view subtraction as the addition of the negative of:",
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"id": 1061793736729825400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:49:14",
"content": "and division as the multiplication of the reciprocal of",
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"id": 1061793840241066000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:49:38",
"content": "and you can freely apply the commutative property without any issue",
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"id": 1061793952962969600,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:50:05",
"content": "Oh yeah so the rule doesnt exist right",
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"id": 1061794027617394800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:50:23",
"content": "what rule",
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"id": 1061794094009040900,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:50:39",
"content": "That h are not allowed to move -numbers",
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},
{
"id": 1061794129924853900,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:50:47",
"content": "I think its a misconception from my side",
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},
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"id": 1061794182760501200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:51:00",
"content": "misconception",
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},
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"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:51:11",
"content": "Ok thanks👍",
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},
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"id": 1061794591872909300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:52:37",
"content": "you just can't subtract in any order you want",
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"id": 1061794700429889700,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:53:03",
"content": "For example?",
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},
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"id": 1061794877186252800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:53:45",
"content": "3 - 5 - 4\ndont do the 5-4 first",
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"id": 1061795269785682000,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:55:19",
"content": "But i can do it first if its -5-4",
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},
{
"id": 1061795371489165400,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:55:43",
"content": "Like 3-9 then?",
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},
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"id": 1061795599327969300,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:56:38",
"content": "So just dont look at it as a sign. Rather look at it as a -number",
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},
{
"id": 1061795671591637000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/08/2023 18:56:55",
"content": "yes,\nviewing that as\n3 + (-5) + (-4)\nyou can \"add\" the -5 and -4 first",
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"id": 1061795762050187300,
"author_id": 270277860349050880,
"author_name": "rubixcyouber",
"timestamp": "01/08/2023 18:57:16",
"content": "subtraction overrated, adding by negative number is always how i view it to be honest",
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"id": 1061795911581311000,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:57:52",
"content": "Yeah that helps with misconceptions",
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"author_name": "Insidias",
"timestamp": "01/08/2023 18:58:19",
"content": "Ok thx guys👍",
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},
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"id": 1061796084973838300,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 18:58:33",
"content": ".close",
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{
"id": 1061796087997923500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 18:58:34",
"content": "Channel closed",
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}
] | help-9 | 065c97ab2fe448938e974c9431cf2d9c |
200,631 | [
{
"id": 1061804330098901100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 19:31:19",
"content": "Available help channel!",
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},
{
"id": 1061809169994350700,
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"author_name": "🔥Flames’’Em MP9…☭",
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"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 19:50:34",
"content": "Pinned a message.",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/08/2023 19:50:36",
"content": "Can someone help me with this",
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},
{
"id": 1061809199627120600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/08/2023 19:50:40",
"content": "im stuck",
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},
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"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/08/2023 19:51:05",
"content": "Like how to find the rule and the eqn",
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},
{
"id": 1061811121109078000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/08/2023 19:58:18",
"content": "Someone",
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"id": 1061812967043248300,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/08/2023 20:05:38",
"content": "@Helpers",
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},
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"id": 1061816745075151000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 20:20:39",
"content": "@🔥Flames’’Em MP9…☭ Has your question been resolved?",
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"id": 1061818207876415500,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:26:28",
"content": "i don’t think there is an elementary way besides trying out different things",
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{
"id": 1061818287912136700,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:26:47",
"content": "like try to see what you can multiply 1 by then add to get 6",
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{
"id": 1061818314818588800,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:26:53",
"content": "and see if it works for 2 and 3",
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{
"id": 1061818393335959600,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:27:12",
"content": "i’m pretty sure there are technically infinitely many equations that could work but probably go with a linear one",
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{
"id": 1061819632572432500,
"author_id": 371095348271251460,
"author_name": "Bolly",
"timestamp": "01/08/2023 20:32:08",
"content": "times 3 + 3 seems to work",
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"id": 1061819981890863200,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:33:31",
"content": "true",
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{
"id": 1061820166020804700,
"author_id": 371095348271251460,
"author_name": "Bolly",
"timestamp": "01/08/2023 20:34:15",
"content": "but i'm sure we can do better",
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},
{
"id": 1061820466123260000,
"author_id": 371095348271251460,
"author_name": "Bolly",
"timestamp": "01/08/2023 20:35:26",
"content": "I can't find a polynomial exponential, power or polynomial fit so I guess 3x+3 is the only solution",
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"id": 1061820522079469700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 20:35:40",
"content": "Channel closed",
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}
] | help-9 | 399c830d6d75472dbc4f651e185392f8 |
200,632 | [
{
"id": 1035344733771399300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 20:10:20",
"content": "Available help channel!",
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},
{
"id": 1035345246034341900,
"author_id": 655852487558955000,
"author_name": "MinecraftGod_123",
"timestamp": "10/27/2022 20:12:22",
"content": "can someone teach me 7th and 8th grade math, I'm already getting ME's which is mastery excellence. I just want to know more as I want to skip 7th.",
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},
{
"id": 1035345248500596900,
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"timestamp": "10/27/2022 20:12:23",
"content": "Pinned a message.",
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"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:13:29",
"content": "Just ask specific questions:catThin4K:",
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},
{
"id": 1035345565438984300,
"author_id": 655852487558955000,
"author_name": "MinecraftGod_123",
"timestamp": "10/27/2022 20:13:38",
"content": "ok, sorry.",
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},
{
"id": 1035346107057836000,
"author_id": 655852487558955000,
"author_name": "MinecraftGod_123",
"timestamp": "10/27/2022 20:15:47",
"content": "can you teach me the sum of the numbers x, y, and is 50. The ratio of x to y is 1:4, and the ratio of y to z is 4:5. What is the value of y?",
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"id": 1035347256666226800,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:20:21",
"content": "So you set up three equations. x+y=50; 4x=y; 4y=5z",
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{
"id": 1035347319027142700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:20:36",
"content": "You plug 4x=y to the first equation",
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"id": 1035347348492128300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:20:43",
"content": "4y+y=50",
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{
"id": 1035347386299584500,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:20:52",
"content": "You can get that y=10",
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"timestamp": "10/27/2022 20:26:03",
"content": "oh ok thank you",
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"author_name": "MinecraftGod_123",
"timestamp": "10/27/2022 20:30:31",
"content": "@電波的な彼女 can you give me a brief explanation on how you got it?",
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"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:33:42",
"content": "Which step doesn’t make sense",
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"id": 1035350667205808100,
"author_id": 783697943176675300,
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"timestamp": "10/27/2022 20:33:54",
"content": "Do you understand this",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 20:45:32",
"content": "@MinecraftGod_123 Has your question been resolved?",
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"author_id": 655852487558955000,
"author_name": "MinecraftGod_123",
"timestamp": "10/27/2022 20:48:21",
"content": "like I dont get how you got to add the numbers,",
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"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:49:48",
"content": "u dont understand this one?",
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},
{
"id": 1035355169967317100,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:51:48",
"content": "the sum of the numbers x, y, and is 50",
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"id": 1035355191362469900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:51:53",
"content": "if u translate thsi sentence to variables",
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"id": 1035355203282665600,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:51:56",
"content": "it's gonna be",
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"id": 1035355216868016100,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:51:59",
"content": "x+y=50",
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},
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"id": 1035355307884425300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:52:21",
"content": "The ratio of x to y is 1:4. If you translate this sentence to variables, it's 4x=y",
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"id": 1035355373252661200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:52:36",
"content": "so if u look at x+y=50.",
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"id": 1035355441208766500,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:52:53",
"content": "we know that y=4x, so if we put it in x+y=50",
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"id": 1035355464235491300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:52:58",
"content": "we get x+4x=50",
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},
{
"id": 1035355507642335200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:53:08",
"content": "x+4x is basically 5x",
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{
"id": 1035355517922582700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:53:11",
"content": "so we have 5x=50",
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},
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"id": 1035355537006674000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:53:15",
"content": "divide 5 on both sides",
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},
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"id": 1035355545923764200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:53:18",
"content": "x=10",
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},
{
"id": 1035355643743305700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:53:41",
"content": "now, we know x=10 and x+y=50",
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},
{
"id": 1035355659887185900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:53:45",
"content": "if we sub the x in",
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"id": 1035355671778041900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:53:48",
"content": "10+y=50",
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},
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"id": 1035355679336185900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/27/2022 20:53:49",
"content": "y=40",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 21:00:33",
"content": "Channel closed",
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}
] | help-9 | ea47ce9596ac40318aa457d8e74bffeb |
200,633 | [
{
"id": 1061820552479785000,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:35:47",
"content": "k(x-1)(x-2)(x-3) + 3x + 3",
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},
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"id": 1061820559450714100,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:35:49",
"content": "for any k",
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},
{
"id": 1061820564479688700,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:35:50",
"content": "works",
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},
{
"id": 1061820574122393600,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:35:52",
"content": "i think",
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},
{
"id": 1061820639113117700,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:36:08",
"content": "because it cancels out all the 1, 2, and 3 terms",
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},
{
"id": 1061820675733598200,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:36:16",
"content": "then u can add in whatever garbage for k you want",
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},
{
"id": 1061820753986724000,
"author_id": 1030987096661434500,
"author_name": "RetroTurtle",
"timestamp": "01/08/2023 20:36:35",
"content": "so like (x^100+x^99+…+x^2+x+1)(x-1)(x-2)(x-3)+3x+3 works",
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"timestamp": "01/08/2023 20:36:40",
"content": "Available help channel!",
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},
{
"id": 1061820894269407400,
"author_id": 371095348271251460,
"author_name": "Bolly",
"timestamp": "01/08/2023 20:37:08",
"content": "yeah that's true",
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},
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"id": 1061820898493079600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 20:37:09",
"content": "Pinned a message.",
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"id": 1061820902012100600,
"author_id": 371095348271251460,
"author_name": "Bolly",
"timestamp": "01/08/2023 20:37:10",
"content": "lol",
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},
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"id": 1061820905736638500,
"author_id": 371095348271251460,
"author_name": "Bolly",
"timestamp": "01/08/2023 20:37:11",
"content": ".close",
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},
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"id": 1061820907976396800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 20:37:12",
"content": "Channel closed",
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}
] | help-9 | d6e67c7bd1174cdbabc3eacd8c778184 |
200,634 | [
{
"id": 1061823425733197800,
"author_id": 805217272087838700,
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"timestamp": "01/08/2023 20:47:12",
"content": "Available help channel!",
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},
{
"id": 1061823547263176700,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:47:41",
"content": "what’s goodie",
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},
{
"id": 1061823549377106000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 20:47:41",
"content": "Pinned a message.",
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"id": 1061823683167006700,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:48:13",
"content": "need help with a few questions",
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},
{
"id": 1061823724971643000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/08/2023 20:48:23",
"content": "```• Ask your math question in a clear, concise manner.\n• Show your work, and if possible, explain where you are stuck.```",
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},
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"content": "",
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{
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"id": 1061823914008903800,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:49:08",
"content": "idrk how to start",
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},
{
"id": 1061823943163519000,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:49:15",
"content": "my teacher taught me to",
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{
"id": 1061824114412757000,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:49:56",
"content": "put a bunch of zeros",
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},
{
"id": 1061824136365752400,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:50:01",
"content": "",
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"id": 1061824143651254400,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:50:03",
"content": "like this",
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},
{
"id": 1061826223363330200,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/08/2023 20:58:19",
"content": "what is this topic called?",
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{
"id": 1061826260554236000,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:58:28",
"content": "dividing polynomials",
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},
{
"id": 1061826348290678900,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:58:49",
"content": "i have 3 questions that look just like it",
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},
{
"id": 1061826487403151500,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 20:59:22",
"content": "someone had told me there was a easier way to do them",
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},
{
"id": 1061826526405992600,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/08/2023 20:59:31",
"content": "ohh ok",
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},
{
"id": 1061826768983564300,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/08/2023 21:00:29",
"content": "ok so on the outside, you take the first variable or whatever its called and you see how much it goes into the first one",
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"id": 1061826792362623000,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/08/2023 21:00:35",
"content": "idk if that makes sense but",
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},
{
"id": 1061827093362639000,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/08/2023 21:01:46",
"content": "like r from the outside goes into r^6 ^6 times, and then you add that to the top of the dividend i think",
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},
{
"id": 1061827210899624000,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/08/2023 21:02:14",
"content": "https://www.youtube.com/watch?v=_FSXJmESFmQ&ab_channel=TheOrganicChemistryTutor",
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},
{
"id": 1061827220986921100,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/08/2023 21:02:17",
"content": "maybe thi will help",
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},
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"id": 1061827494010957800,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 21:03:22",
"content": "mk",
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},
{
"id": 1061827497957806100,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 21:03:23",
"content": "ty",
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},
{
"id": 1061827510666534900,
"author_id": 646575779055927300,
"author_name": "drippy",
"timestamp": "01/08/2023 21:03:26",
"content": ".close",
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},
{
"id": 1061827513766137900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 21:03:27",
"content": "Channel closed",
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}
] | help-9 | 6e7c8988745c4b218bda1c14f27ff11e |
200,635 | [
{
"id": 1061827766787506300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 21:04:27",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1061828090910752900,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 21:05:44",
"content": "A pool can be filled with three pumps P1, P2 and P3. P1 alone takes 40 hours, P2 alone 25 hours and P3 alone 66 hours and 40 minutes. How long do all 3 pumps take together?",
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"id": 1061828093544767500,
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"timestamp": "01/08/2023 21:05:45",
"content": "Pinned a message.",
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"id": 1061828118668652500,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 21:05:51",
"content": "Any hints?",
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},
{
"id": 1061829394462670800,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 21:10:55",
"content": "It’s about fractions",
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},
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"id": 1061831485667164300,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 21:19:14",
"content": ".close",
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},
{
"id": 1061831491845378000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 21:19:15",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 64fa632192fe430ea9cb6662493c65c1 |
200,636 | [
{
"id": 1061831517791338600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 21:19:21",
"content": ".reopen",
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},
{
"id": 1061831523336192100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 21:19:23",
"content": "✅",
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},
{
"id": 1061831532030996500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 21:19:25",
"content": "Did you mean to close?",
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{
"id": 1061835293788995700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 21:34:21",
"content": "@Insidias Has your question been resolved?",
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"id": 1061835488866091100,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 21:35:08",
"content": "Yeah i thought no one knows an answer",
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},
{
"id": 1061842831989293000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:04:19",
"content": "Think of the problems as rate problems",
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},
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"id": 1061842895860154500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:04:34",
"content": "Let V be the volume of the pool",
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"id": 1061842951644401800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:04:47",
"content": "P1 can fill the pool in 40 hours",
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},
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"id": 1061843058573987800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:05:13",
"content": "So its _rate_ is 1 pool per 40 hours or V/40",
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"id": 1061843208902025300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:05:49",
"content": "The rate of P2 is V/25",
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"id": 1061843268318527600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:06:03",
"content": "And the rate of P3 is V/66",
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"id": 1061843310517420200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:06:13",
"content": "So what is the total rate",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 22:16:13",
"content": "@Insidias Has your question been resolved?",
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"timestamp": "01/08/2023 22:20:05",
"content": "@Insidias",
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"id": 1061846820625580200,
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"author_name": "Insidias",
"timestamp": "01/08/2023 22:20:10",
"content": "Yeah",
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},
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"id": 1061846851835404300,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 22:20:17",
"content": "Kk let me think",
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"id": 1061846885138190500,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 22:20:25",
"content": "P3 has 40minutes",
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},
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"id": 1061846914343129200,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 22:20:32",
"content": "Too",
"attachments": [],
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},
{
"id": 1061846930084352000,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 22:20:36",
"content": "Does that matter",
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},
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"id": 1061847401746411500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:22:28",
"content": "Oh derp I missed that",
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},
{
"id": 1061847425729450000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:22:34",
"content": "66 hours and 40 minutes",
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},
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"id": 1061847455420911600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/08/2023 22:22:41",
"content": "Convert that to just hours (or just minutes)",
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},
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"id": 1061847501977694300,
"author_id": 526506101156479000,
"author_name": "Insidias",
"timestamp": "01/08/2023 22:22:52",
"content": "Ok",
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},
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"author_name": "Mathematics Bot",
"timestamp": "01/08/2023 22:46:14",
"content": "Channel closed",
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}
] | help-9 | 5475efe3afb0449895d4bda9c2bdf8c8 |
200,637 | [
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"content": "Available help channel!",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "01/09/2023 00:20:16",
"content": "Can someone tell me where I did wrong?",
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"id": 1061880452333445200,
"author_id": 752737032694005900,
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"timestamp": "01/09/2023 00:33:48",
"content": "take a look at your angles",
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"timestamp": "01/09/2023 00:38:48",
"content": "@AirToastie Has your question been resolved?",
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"author_name": "AirToastie",
"timestamp": "01/09/2023 00:42:59",
"content": "Should it be 210 then?",
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"id": 1061883117431967700,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/09/2023 00:44:24",
"content": "oh wait",
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},
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"id": 1061883751577161700,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/09/2023 00:46:55",
"content": "i think you're right",
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"id": 1061883835031228500,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/09/2023 00:47:15",
"content": "everything checks out with the negatives, and i didn't see that you switched theta to 90-theta",
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"id": 1061883861304356900,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/09/2023 00:47:21",
"content": "i got what you got",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "01/09/2023 00:48:25",
"content": "Why is the angle of the final vector negative then?",
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"author_name": "barometer",
"timestamp": "01/09/2023 00:52:15",
"content": "the tangent isn't always right",
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"author_name": "barometer",
"timestamp": "01/09/2023 00:52:54",
"content": "you have to add 180 in this case",
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"timestamp": "01/09/2023 00:54:30",
"content": "@AirToastie this may help",
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"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 01:18:25",
"content": "@AirToastie Has your question been resolved?",
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"author_name": "barometer",
"timestamp": "01/09/2023 01:21:10",
"content": "did you read what i put lol",
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"id": 1061892610966421500,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/09/2023 01:22:07",
"content": "since the resultant is in quadrant II you need to adjust the arctangent result",
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"timestamp": "01/09/2023 01:22:59",
"content": "Sorry was outside",
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"id": 1061892959525679100,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/09/2023 01:23:30",
"content": "are you required to put this in magnitude angle form",
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"timestamp": "01/09/2023 01:23:45",
"content": "I think so",
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"id": 1061893035459354800,
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"timestamp": "01/09/2023 01:23:48",
"content": "word",
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"id": 1061893087401627600,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/09/2023 01:24:01",
"content": "it's still worth finding the resultant in vector notation first though",
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"id": 1061893174898991100,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/09/2023 01:24:21",
"content": "makes visualizing it easier (and easier to apply the arctan stuff i posted in the picture)",
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},
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"id": 1061893252111941600,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "01/09/2023 01:24:40",
"content": "wdym by resultant",
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"timestamp": "01/09/2023 01:25:37",
"content": "",
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"id": 1061893503065526300,
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"author_name": "barometer",
"timestamp": "01/09/2023 01:25:40",
"content": "the sum of the vectors",
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"id": 1061902180220682200,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "01/09/2023 02:00:08",
"content": "I think I sort of understand now",
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"id": 1061902194561003600,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "01/09/2023 02:00:12",
"content": "Thanks for the help!",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 03:00:12",
"content": "@AirToastie Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | b5a79838dcb04943b049592c6eb4977f |
200,638 | [
{
"id": 1061932648076939300,
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"timestamp": "01/09/2023 04:01:13",
"content": "Available help channel!",
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},
{
"id": 1061935419261997000,
"author_id": 1006912725563211900,
"author_name": "Mirajane.",
"timestamp": "01/09/2023 04:12:13",
"content": "uhmm this is my first time asking here correct me if I'm wrong but I badly need this would you teach me about the direct, inverse, jointly, and combine variations?",
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{
"id": 1061935421912797300,
"author_id": 805217272087838700,
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"timestamp": "01/09/2023 04:12:14",
"content": "Pinned a message.",
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"id": 1061935611591807000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/09/2023 04:12:59",
"content": "We can't really teach you it, but we can answer specific questions you have regarding those topics",
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{
"id": 1061936068624142500,
"author_id": 1006912725563211900,
"author_name": "Mirajane.",
"timestamp": "01/09/2023 04:14:48",
"content": "oh okayy would you mind making our equation easier?",
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},
{
"id": 1061936692027723800,
"author_id": 1006912725563211900,
"author_name": "Mirajane.",
"timestamp": "01/09/2023 04:17:17",
"content": "for directly variation. If y varies directly as x and y=-21 when x=-3, find y, when x=15",
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"id": 1061940442855375000,
"author_id": 1006912725563211900,
"author_name": "Mirajane.",
"timestamp": "01/09/2023 04:32:11",
"content": "for inverse. The law of the lever states that: \"To balance given person seated on a seesaw, the other person must sit a distance(d) from the fulcrum inversely proportional to its weight(w).\" Bongbong and Abet are typing to balance on a seesaw. Bongbong weighs 100lb and sit 4ft from the fulcrum If Abet weigh 80lb, how far from fulcrum must Abet sit so they would be balance on the seesaw?",
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"id": 1061941159007633500,
"author_id": 1006912725563211900,
"author_name": "Mirajane.",
"timestamp": "01/09/2023 04:35:02",
"content": "jointly. Solve for the constant k, then find the missing value. Z varies jointly as x and y, and z=60, when x=5 and y=6. a) Find z when x=7 and y=6. b) find x when z=72 and y=4.",
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"id": 1061941702794936300,
"author_id": 1006912725563211900,
"author_name": "Mirajane.",
"timestamp": "01/09/2023 04:37:11",
"content": "for combine variation. W varies directly as x and y inversely a v squared w=1200 when x=4, y=9 and v=6. Find w when x=3, y=18 and v=9.",
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},
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"id": 1061941723015684200,
"author_id": 1006912725563211900,
"author_name": "Mirajane.",
"timestamp": "01/09/2023 04:37:16",
"content": "thankyou in advance",
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},
{
"id": 1061945499055308800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 04:52:16",
"content": "@Mirajane. Has your question been resolved?",
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{
"id": 1061946523811860500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/09/2023 04:56:21",
"content": "If it varies directly with x to the first power, then there is a fixed ratio between y and x. That means that y1/x1 = y2/x2",
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"id": 1061948215555002400,
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"author_name": "Mirajane.",
"timestamp": "01/09/2023 05:03:04",
"content": "can i see the solution?",
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"timestamp": "01/09/2023 05:05:47",
"content": "$y\\propto x$",
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},
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"id": 1061948906461737000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/09/2023 05:05:49",
"content": "**VulcanOne**",
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"content": "$y=kx$ where $k$ is the proportionality constant",
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"content": "$y_1 = kx_1 \\\\\ny_2 = kx_2$",
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"content": "$k = \\frac{y_1}{x_1} \\\\ \\\\\nk = \\frac{y_2}{x_2}$",
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"content": "$\\frac{y_1}{x_1} = \\frac{y_2}{x_2}$",
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"content": "**VulcanOne**",
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"timestamp": "01/09/2023 05:18:45",
"content": "@Mirajane.",
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"author_name": "Mirajane.",
"timestamp": "01/09/2023 05:19:45",
"content": "oh thankyou",
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"content": "Inverse variance is basically x^-1",
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"author_name": "Mirajane.",
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"content": "okiii",
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"content": "Combine as a combo of all the cases and you have to write how they are proportional to each other",
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"timestamp": "01/09/2023 05:38:10",
"content": "And it's super similar to how you learned PV = nRT",
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"timestamp": "01/09/2023 05:38:17",
"content": "For ideal gases in Chemistry and Physics",
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"timestamp": "01/09/2023 05:38:30",
"content": "P1V1=P2V2",
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"timestamp": "01/09/2023 05:38:47",
"content": "Because P and V are inversely proportional",
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"timestamp": "01/09/2023 05:39:04",
"content": "While P1/T1 = P2/T2",
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"timestamp": "01/09/2023 05:39:17",
"content": "Because P and T are directly proportional",
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"timestamp": "01/09/2023 06:05:54",
"content": "@Mirajane. Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | e60574e676274311b60e6761e2f13195 |
200,639 | [
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] | help-9 | 1b31d00e0901407ca4a0a37ce806726d |
200,640 | [
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"content": "Whats 8 mod -2",
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"author_name": "Denascite",
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"content": "in what sense do you wanna use mod here",
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"id": 1061987762460426200,
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"timestamp": "01/09/2023 07:40:13",
"content": "in the programming sense as an operation or in the math sense",
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"content": "The remainder of the division",
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"content": "Or idk what you call it",
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"timestamp": "01/09/2023 07:40:37",
"content": "Rest",
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"content": "well clearly 8 = -4*-2 with remainder 0",
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"content": "8 = (-4)*(-2) + 0",
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"timestamp": "01/09/2023 07:41:07",
"content": "Oh yeah",
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"content": "What about",
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"content": "8 div -2",
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"content": "8/(-2) = -4, what else",
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"timestamp": "01/09/2023 07:41:44",
"content": "div function literally just means divide",
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"timestamp": "01/09/2023 07:41:50",
"content": "No it doesnt",
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"timestamp": "01/09/2023 07:41:59",
"content": "ok",
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"timestamp": "01/09/2023 07:42:12",
"content": "when the first number is evenly divisible by the second it does",
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"timestamp": "01/09/2023 07:42:21",
"content": "🐒",
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"content": "I was told that for example",
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"timestamp": "01/09/2023 07:42:43",
"content": "11 div 10 is 1",
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"timestamp": "01/09/2023 07:42:53",
"content": "\"was told\"",
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"timestamp": "01/09/2023 07:42:58",
"content": "by whom, where and what exactly",
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"content": "Teacher",
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"author_name": "Ryuzaki",
"timestamp": "01/09/2023 07:43:05",
"content": "yes \"was told\" is the key phrase here",
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"content": "At school",
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"content": "Informatics",
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"timestamp": "01/09/2023 07:43:13",
"content": "11 mod 10 is 1",
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"timestamp": "01/09/2023 07:43:15",
"content": "your teacher is wrong",
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"timestamp": "01/09/2023 07:43:22",
"content": "or you misunderstood",
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"timestamp": "01/09/2023 07:43:26",
"content": "could have been a typo",
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"timestamp": "01/09/2023 07:43:28",
"content": "She writes it like",
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"timestamp": "01/09/2023 07:43:32",
"content": "i think the teacher may have meant division with rounding down.",
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"content": "integer division",
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"content": "[11/10]",
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"timestamp": "01/09/2023 07:43:46",
"content": "oh, so it's floor(11/10).",
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"content": "[] is the floor function, i'm almost sure of it",
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"timestamp": "01/09/2023 07:44:05",
"content": "do you mean $\\floor{\\frac{11}{10}}$",
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"timestamp": "01/09/2023 07:44:05",
"content": "Yeah",
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"timestamp": "01/09/2023 07:44:07",
"content": "**45**",
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"timestamp": "01/09/2023 07:44:22",
"content": "And she said instead of [11/10] we can write 11 div 10",
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"timestamp": "01/09/2023 07:44:37",
"content": "Dont think so",
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"content": "I think the [] are reffering to the integer part of the answer",
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"timestamp": "01/09/2023 07:45:04",
"content": "that sounds like just integer division",
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"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:45:09",
"content": "[11,5] is 11",
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"id": 1061989121079398400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:45:37",
"content": "So how would i write this in coding",
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"id": 1061989129925169300,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "01/09/2023 07:45:39",
"content": "maybe you mean max(a,b)? or something?",
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},
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"id": 1061989138020171800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:45:41",
"content": "If div is wrong",
"attachments": [],
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},
{
"id": 1061989274116968400,
"author_id": 113080461915381760,
"author_name": "Unconscious",
"timestamp": "01/09/2023 07:46:13",
"content": "wdym write this in coding?",
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},
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"id": 1061989357227089900,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:46:33",
"content": "From a number like 11,5",
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},
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"id": 1061989370212663300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:46:36",
"content": "How do i get to 11",
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},
{
"id": 1061989413242020000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:46:46",
"content": "What operator do i use",
"attachments": [],
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},
{
"id": 1061989453326975000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/09/2023 07:46:56",
"content": "what programming language?",
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},
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"id": 1061989474793443500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:47:01",
"content": "C++",
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"id": 1061989604368064500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/09/2023 07:47:32",
"content": "should be either typecast to int, or `floor()`...",
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},
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"id": 1061989663168024700,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:47:46",
"content": ",w floor 11,5",
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},
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"id": 1061989671644704900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/09/2023 07:47:48",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1061989706973315100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/09/2023 07:47:56",
"content": "WA did not understand you",
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"id": 1061989721733083100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/09/2023 07:48:00",
"content": ",w floor(11.5)",
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"id": 1061989730637598700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/09/2023 07:48:02",
"content": "Results provided by WolframAlpha",
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},
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"id": 1061989780394614800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:48:14",
"content": "Ok",
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"id": 1061989808727142400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:48:21",
"content": "So its not div",
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"id": 1061989815832289300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:48:22",
"content": "Its floor",
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"id": 1061989854973530200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/09/2023 07:48:32",
"content": "floor means round down to the nearest integer",
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"id": 1061989879493439600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:48:38",
"content": "And the use of mod i use is correct?",
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"id": 1061989949303435300,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "01/09/2023 07:48:54",
"content": "a mod b = remainder when a/b",
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"id": 1061989950561718300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:48:55",
"content": "I say 8 mod 2 is 0",
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"id": 1061989951148929000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/09/2023 07:48:55",
"content": "it's fine i guess",
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"id": 1061990015254659100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/09/2023 07:49:10",
"content": "yes, 8 mod 2 = 0",
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"id": 1061990043750768600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:49:17",
"content": "And 8 mod 3 is 2",
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},
{
"id": 1061990244645351600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:50:05",
"content": "?",
"attachments": [],
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},
{
"id": 1061990506709655700,
"author_id": 113080461915381760,
"author_name": "Unconscious",
"timestamp": "01/09/2023 07:51:07",
"content": "Yes",
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},
{
"id": 1061990766215442400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:52:09",
"content": "Ram",
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},
{
"id": 1061990781306540000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:52:13",
"content": "What is it",
"attachments": [],
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},
{
"id": 1061991096122617900,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:53:28",
"content": "Ok i'll close this now",
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},
{
"id": 1061991113940013000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:53:32",
"content": "Thx",
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},
{
"id": 1061991121170997200,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/09/2023 07:53:34",
"content": ".close",
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{
"id": 1061991124010545200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 07:53:34",
"content": "Channel closed",
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}
] | help-9 | 6e61d92c44e4450584be9e6b760bc2c5 |
200,641 | [
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"content": "Available help channel!",
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"id": 1061997344511500300,
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"content": "Is that saying that you should or that you shouldn’t use calculus?",
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"content": "it's just sayin to use calc to find max and min",
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"id": 1061998901042872300,
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"timestamp": "01/09/2023 08:24:28",
"content": "Then with both, you have an expression for one quantity in terms of two variables",
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"content": "And they give you an additional piece of information that allows you to write one of the variables in terms of the other",
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"content": "So say S= x + 4y for this one",
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"content": "Then you have 36=xy which allows you to express S in terms of only one of the variables",
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"timestamp": "01/09/2023 08:27:05",
"content": "From that, minimise S by calculus :calculus:",
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"timestamp": "01/09/2023 08:28:55",
"content": "Similar here, we have V=l^2*h, but work out that surface area in terms of l and h, then set that equal to 108 and rearrange",
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"timestamp": "01/09/2023 08:29:34",
"content": "Substitute back in to write V in terms of only one of them, then by calculus :calculus: maximise V",
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"timestamp": "01/09/2023 08:29:38",
"content": "what's that curly f thing?",
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"content": "Oh it’s an integral, that’s just me being quirky, ignore me :catGiggle:",
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"content": ":calculus:",
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"content": "It’s the calculus sticker haha",
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"timestamp": "01/09/2023 08:31:01",
"content": "o oke lolo",
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"content": "so i take derivative?",
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"content": "?",
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"timestamp": "01/09/2023 08:35:09",
"content": "would i have to memorize surface area formula 😭",
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"content": "I mean, that’s just the sum of areas of squares/rectangles isn’t it :catshrug:",
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"timestamp": "01/09/2023 08:36:46",
"content": "i completely forgot 💀",
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"timestamp": "01/09/2023 08:36:48",
"content": "wait",
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"timestamp": "01/09/2023 08:36:53",
"content": "like 2lw",
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"content": "+2lh",
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"id": 1062002062734413800,
"author_id": 286244149873606660,
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"timestamp": "01/09/2023 08:37:02",
"content": "or something?",
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"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/09/2023 08:41:01",
"content": "2(lw+lh+wh)?",
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"timestamp": "01/09/2023 08:41:14",
"content": "oops",
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"timestamp": "01/09/2023 08:47:54",
"content": "Well remember here that the top’s missing",
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"timestamp": "01/09/2023 08:48:22",
"content": "If anything just label the rectangles",
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"timestamp": "01/09/2023 08:48:33",
"content": "umm ok",
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"timestamp": "01/09/2023 08:51:14",
"content": "idk what the equation would be",
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"content": "?",
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"content": "Remember you have one square of w, w, and then 4 rectangles of w,h",
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"content": ":pandaThink:",
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"timestamp": "01/09/2023 08:52:58",
"content": "okk",
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"timestamp": "01/09/2023 08:53:11",
"content": "so maybe",
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"author_name": "egg",
"timestamp": "01/09/2023 08:53:28",
"content": "108=4wh+2w?",
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"id": 1062006232304595000,
"author_id": 286244149873606660,
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"timestamp": "01/09/2023 08:53:36",
"content": "😨",
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"id": 1062006349384384600,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/09/2023 08:54:04",
"content": "or w^2",
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"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 09:09:05",
"content": "@egg Has your question been resolved?",
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"id": 1062011910914068500,
"author_id": 286244149873606660,
"author_name": "egg",
"timestamp": "01/09/2023 09:16:10",
"content": "and then should i plug h back in?",
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"id": 1062013668428103700,
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"timestamp": "01/09/2023 09:23:09",
"content": "@Helpers",
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"id": 1062015446838157300,
"author_id": 698886257144627300,
"author_name": "mazdak",
"timestamp": "01/09/2023 09:30:13",
"content": "Sorry I use the metric system💀",
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"content": "😭😭:blobcry:",
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"content": "@egg Has your question been resolved?",
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] | help-9 | f1722dbbf2214384bbe58dd331b6f109 |
200,642 | [
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"id": 1062030911866159100,
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"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 10:31:40",
"content": "Available help channel!",
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"author_id": 132304137583984640,
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"timestamp": "01/09/2023 10:39:28",
"content": "do a substituation y=Px",
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"author_id": 989024731132993500,
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"timestamp": "01/09/2023 10:39:51",
"content": "y = P^-1 x",
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},
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"id": 1062032978575896600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:39:53",
"content": "or Px",
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},
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"id": 1062032988474445800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:39:56",
"content": "or y=P^-1 x depending on which order you chose",
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},
{
"id": 1062033008204468400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:40:00",
"content": "ah right",
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},
{
"id": 1062033035693928600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:40:07",
"content": "my lecture notes say P-1 x",
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"id": 1062033155118350500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:40:35",
"content": "then do that",
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"id": 1062033297447854100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:41:09",
"content": "my issue is",
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"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:41:12",
"content": "i dont rly know what that means",
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},
{
"id": 1062033329605578800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:41:17",
"content": "what is y here?",
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"id": 1062033365835980800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:41:26",
"content": "or well",
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"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:41:44",
"content": "x(t) is a system of equations right?",
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"id": 1062033632442716200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:42:29",
"content": "am i supposed to times A*P^-1",
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"id": 1062033672766771200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:42:39",
"content": "since A is the system of ODES",
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"id": 1062033996101460100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:43:56",
"content": "x(t) is a function",
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"id": 1062034021607030800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:44:02",
"content": "that depends on t",
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},
{
"id": 1062034105371472000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:44:22",
"content": "and that satisfies x'(t) = Ax(t)",
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"id": 1062034150070169700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:44:33",
"content": "now you define a new function y(t) = P^(-1) x(t)",
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"id": 1062034188783599700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:44:42",
"content": "which differential equation does y(t) satisfy",
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},
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"id": 1062034241430495200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:44:54",
"content": "y'(t) = something * y(t)",
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"id": 1062034271050666100,
"author_id": 989024731132993500,
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"timestamp": "01/09/2023 10:45:01",
"content": "",
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"id": 1062034303594287200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:45:09",
"content": "do i sub in t for the x1, x2, x3",
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{
"id": 1062034319843004400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:45:13",
"content": "wait",
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"id": 1062034329875779600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:45:15",
"content": "that makes no sense",
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},
{
"id": 1062034412419682300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:45:35",
"content": "x1,2,3 are all functions of t?",
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"id": 1062034467084054500,
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"author_name": "shavet",
"timestamp": "01/09/2023 10:45:48",
"content": "",
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"id": 1062034638618501200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:46:29",
"content": "x(t) is a function with 3 coordinates",
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},
{
"id": 1062034669111083000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:46:36",
"content": "x:R->R^3",
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{
"id": 1062034892029964400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:47:29",
"content": "sorry these are lectures notes for example in 2x2",
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},
{
"id": 1062035151133093900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:48:31",
"content": "am i supposed to have a specific function x(t)?",
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},
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"id": 1062035182183522300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:48:39",
"content": "like am i supposed to pick one",
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},
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"id": 1062035252463280300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:48:55",
"content": "or is it just the general function",
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},
{
"id": 1062035301234659300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:49:07",
"content": "the point of differential equations is that you are supposed to find the function x(t)",
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"id": 1062035340396855400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:49:16",
"content": "given the equation",
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},
{
"id": 1062035434957439100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:49:39",
"content": "oh wait",
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},
{
"id": 1062035438119952500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:49:40",
"content": "oh yea",
"attachments": [],
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},
{
"id": 1062035451046789100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:49:43",
"content": "i dont have x(t)",
"attachments": [],
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},
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"id": 1062035461985534100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:49:45",
"content": "wth i forgot hahaha",
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},
{
"id": 1062035897673068500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:51:29",
"content": "ok so",
"attachments": [],
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},
{
"id": 1062036113805541400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:52:21",
"content": "my D = (1 0 0, 0 -1 0, 0 0 2)",
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},
{
"id": 1062036170588033000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:52:34",
"content": "so for my y'1",
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},
{
"id": 1062036192746549200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:52:40",
"content": "its y'1 = y1",
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},
{
"id": 1062036201659445400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:52:42",
"content": "right?",
"attachments": [],
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},
{
"id": 1062036266734076000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:52:57",
"content": "y'2 = -y2",
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},
{
"id": 1062036312615571600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:53:08",
"content": "y'3 = 2y3",
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},
{
"id": 1062036319926231000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:53:10",
"content": "right?",
"attachments": [],
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"reference": null
},
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"id": 1062036450029355100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:53:41",
"content": "yes",
"attachments": [],
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},
{
"id": 1062036470937964500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:53:46",
"content": "ok great",
"attachments": [],
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},
{
"id": 1062036759447359500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:54:55",
"content": "1 sec",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062037253993533400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:56:53",
"content": "do i need to have the integration constant?",
"attachments": [],
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},
{
"id": 1062037261883027600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:56:54",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062037284834267300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:57:00",
"content": "for y' = y",
"attachments": [],
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"reference": null
},
{
"id": 1062037326227853300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:57:10",
"content": "if you are given an initial value for x",
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},
{
"id": 1062037328501149800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:57:10",
"content": "should my sol be y = e^t or Ae^t",
"attachments": [],
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},
{
"id": 1062037385375920100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:57:24",
"content": "ohhh",
"attachments": [],
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},
{
"id": 1062037389096276000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:57:25",
"content": "i see",
"attachments": [],
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},
{
"id": 1062037398906744800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:57:27",
"content": "i use my matrix",
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},
{
"id": 1062037663709921300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:58:30",
"content": "so i have",
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},
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"id": 1062037697415360500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:58:38",
"content": "y1 = Ae^t",
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},
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"id": 1062037751802888200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:58:51",
"content": "y2= Be^-t",
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},
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"id": 1062037778675810400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:58:58",
"content": "y3=Ce^2t",
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"id": 1062037794375073900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:59:01",
"content": "now i can go",
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{
"id": 1062037887585103900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:59:24",
"content": "y(t) = (y1,y2,y3) = P^-1 x",
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"id": 1062037959886524500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:59:41",
"content": "so y(t)*P = x",
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"id": 1062037967713087600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 10:59:43",
"content": "right?",
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"id": 1062038025841946600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 10:59:57",
"content": "the original matrix is called A so maybe not the best choice to use A as your integration constant",
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"id": 1062038064349847700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:00:06",
"content": "just call them c1, c2, c3",
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},
{
"id": 1062038113037332600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:00:17",
"content": "ok cool",
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},
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"id": 1062038136517038100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:00:23",
"content": "other way",
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"id": 1062038162819526700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:00:29",
"content": "x(t) = P*y(t)",
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},
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"id": 1062038229462810600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:00:45",
"content": "oh right",
"attachments": [],
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},
{
"id": 1062038246848208900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:00:49",
"content": "order matters with matrix",
"attachments": [],
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},
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"id": 1062038329706676400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:01:09",
"content": "yes",
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},
{
"id": 1062038547688857600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:02:01",
"content": "wait this could be",
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},
{
"id": 1062038557260271600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:02:03",
"content": "el stupido",
"attachments": [],
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},
{
"id": 1062038664051425400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:02:29",
"content": "but how do i multiply a 3x3 with a 3*1",
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},
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"id": 1062038733043540000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:02:45",
"content": "you dont",
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},
{
"id": 1062038764974780500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:02:53",
"content": "now you do",
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},
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"id": 1062038805080707100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:03:02",
"content": "I mean standard matrix vector multiplication",
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},
{
"id": 1062038928741388300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:03:32",
"content": "you dont?",
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},
{
"id": 1062038931568341100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:03:33",
"content": "what",
"attachments": [],
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},
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"id": 1062038958046986400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:03:39",
"content": "you had 1x3 before",
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},
{
"id": 1062039104885375000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:04:14",
"content": "ah right",
"attachments": [],
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},
{
"id": 1062039897545912300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:07:23",
"content": "ok so i mightve done this wrong",
"attachments": [],
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},
{
"id": 1062039899559174300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:07:23",
"content": "but",
"attachments": [],
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},
{
"id": 1062039922250367000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:07:29",
"content": "i got",
"attachments": [],
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"reference": null
},
{
"id": 1062040284373991600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:08:55",
"content": "(-Le^t - 2Me^-t\n-Le^t - Me^-t + Ne^2t\nLe^t + Me^-t)",
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},
{
"id": 1062040334529470500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:09:07",
"content": "just using L M N for c1,c2,c3",
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},
{
"id": 1062040353550651400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:09:12",
"content": "bit easier to read",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062040379060408400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:09:18",
"content": "on discord",
"attachments": [],
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},
{
"id": 1062040474342412300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:09:40",
"content": "is that correct?",
"attachments": [],
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},
{
"id": 1062040569175605400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:10:03",
"content": "something like that, yes",
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},
{
"id": 1062040595545215100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:10:09",
"content": "my P = (-1 -2 0, -1 -1 1, 1 1 0)",
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},
{
"id": 1062040631041610000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:10:18",
"content": "but it looks about right?",
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},
{
"id": 1062040639245647900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:10:20",
"content": "yeah checks out",
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},
{
"id": 1062040651644018700,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:10:23",
"content": "ok great",
"attachments": [],
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},
{
"id": 1062040660573687900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:10:25",
"content": "thanks for the help",
"attachments": [],
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"reference": null
},
{
"id": 1062040751908864000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:10:47",
"content": "pretty straightforward calculations",
"attachments": [],
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},
{
"id": 1062040793633783900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:10:56",
"content": "but i just didnt understand the substitution part",
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},
{
"id": 1062040849996853200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:11:10",
"content": "but yea thanks alot",
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},
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"id": 1062040854312788000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "01/09/2023 11:11:11",
"content": ".close",
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},
{
"id": 1062040857454317700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 11:11:12",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 379aed93b4e841699e091773a64d9e7b |
200,643 | [
{
"id": 1035357627749769300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 21:01:34",
"content": "Available help channel!",
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},
{
"id": 1035359142841417900,
"author_id": 267786039504928770,
"author_name": "Baylen",
"timestamp": "10/27/2022 21:07:35",
"content": "Hello, what does the symbol in the middle mean?:",
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"content": "Pinned a message.",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/27/2022 21:08:11",
"content": "Proportion, I'm assuming",
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},
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"id": 1035359365726752900,
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"author_name": "Baylen",
"timestamp": "10/27/2022 21:08:28",
"content": "So dx/dt would be proportional to x?",
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"author_name": "dldh06",
"timestamp": "10/27/2022 21:08:57",
"content": "Something like that, that's what the symbol means, not sure the meaning of that expression",
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"id": 1035359536690765800,
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"timestamp": "10/27/2022 21:09:09",
"content": "Oh okay, thank you!",
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"id": 1035361065539748000,
"author_id": 450028427605573600,
"author_name": "B4B😈 | Arhur97434",
"timestamp": "10/27/2022 21:15:14",
"content": "I would say the same yea",
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"timestamp": "10/27/2022 21:24:09",
"content": "@Baylen Has your question been resolved?",
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"timestamp": "10/27/2022 21:39:10",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 11393dceac98415f93c664cf83f8fcec |
200,644 | [
{
"id": 1062041110454739100,
"author_id": 805217272087838700,
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"timestamp": "01/09/2023 11:12:12",
"content": "Available help channel!",
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},
{
"id": 1062041533458681900,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:13:53",
"content": "someone could help me in this question",
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},
{
"id": 1062041535958499500,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:14:17",
"content": "@Helpers",
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},
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"id": 1062041703965544400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:14:34",
"content": "you didn't even post a question",
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{
"id": 1062041714681970800,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/09/2023 11:14:36",
"content": "Please don't instantly ping helpers",
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{
"id": 1062041722533724300,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/09/2023 11:14:38",
"content": ":opencry:",
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{
"id": 1062041731027181700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:14:40",
"content": "dont ping helpers before asking a question lol",
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{
"id": 1062041737566097500,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:14:42",
"content": "im sorry",
"attachments": [],
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{
"id": 1062041754628538500,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:14:46",
"content": "im new here",
"attachments": [],
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},
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"id": 1062041789697114100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:14:54",
"content": "then read the rules",
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{
"id": 1062041812283441200,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:14:59",
"content": "ok",
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},
{
"id": 1062042084615409800,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:16:04",
"content": "if someone takes a course which contains english, physics , chemistry, biology and psychology how the person will study for the maths in physics",
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"id": 1062042155041968300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/09/2023 11:16:21",
"content": "what",
"attachments": [],
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},
{
"id": 1062042244749725700,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:16:42",
"content": "yeah for the numericals in physics",
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"id": 1062042313846689900,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:16:59",
"content": "pls answer",
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"id": 1062042356360155300,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/09/2023 11:17:09",
"content": "By practicing it?",
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"id": 1062042374085283800,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/09/2023 11:17:13",
"content": "Studying?",
"attachments": [],
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{
"id": 1062042477500039200,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:17:38",
"content": "like he doesnt have a seperate maths in his course then how come ?",
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"id": 1062042523738067000,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/09/2023 11:17:49",
"content": "usually the first chapter in physics is maths",
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"id": 1062042587759902700,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:18:04",
"content": "basic?",
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"id": 1062042757352411300,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/09/2023 11:18:45",
"content": "They probably will teach you basic maths tools",
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"id": 1062042771726278800,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/09/2023 11:18:48",
"content": "just study basic in differentiation integration",
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"id": 1062042780219752600,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "01/09/2023 11:18:50",
"content": "In physics class",
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"id": 1062042877707956200,
"author_id": 781719801411272700,
"author_name": "Logesh_6218",
"timestamp": "01/09/2023 11:19:13",
"content": "thanks1",
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"author_id": 781719801411272700,
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"timestamp": "01/09/2023 11:19:21",
"content": "for helping",
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"content": "how to close it",
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"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
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"id": 1062042995886670000,
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"timestamp": "01/09/2023 11:19:42",
"content": "thanks",
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] | help-9 | da8137a50cb540d1aa1e796140d363cf |
200,645 | [
{
"id": 1062044066193354800,
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"content": "Are there n children?",
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"author_name": "idontsleepanymore",
"timestamp": "01/09/2023 11:55:29",
"content": "Is the answer (n-1)!-1?",
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"id": 1062052112063791200,
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"author_name": "shinraaaa",
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"content": "why",
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"author_name": "idontsleepanymore",
"timestamp": "01/09/2023 11:56:58",
"content": "Well i am probably wrong but the way I'm thinking is that number of ways nobody same person immediately to the right = total number of ways they join hands - no. of ways everybody same person immediately to the right",
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"timestamp": "01/09/2023 11:58:58",
"content": "Oh wait before this, i need to ask what is the total number of ways people join hands in a circle, like B holding As right hand is different to B holding As left hand?",
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"content": "it must solved with inclusion exclusion principle",
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"timestamp": "01/09/2023 11:59:57",
"content": "the total number is (n-1)!",
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"author_name": "idontsleepanymore",
"timestamp": "01/09/2023 12:00:53",
"content": "And no. of ways everybody same person immediately to the right?",
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"timestamp": "01/09/2023 12:01:19",
"content": "I might be missing something tho, best to confirm this by an expert or if u have the solution",
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"timestamp": "01/09/2023 12:02:51",
"content": "no im searching for the solution:NervousSweat:",
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] | help-9 | 546a3e9b62e44df8ab980feb882867f8 |
200,646 | [
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"content": "hi can i get help? how do i solve an equation that looks like this: 30-60/5",
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"content": "??",
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"content": "are you sure it's **30 - 60/5 ** ?",
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"content": "thats what it lloks like on a calculator, but on the homework the 60/5 is shown as fractions",
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"content": "because **60/5 = 12** you can simplify but there is nothing to solve here",
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"content": "the second one",
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"content": "how do i solve an equation like that",
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"content": "you can evaluate it",
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"content": "you aren't gonna be solving for variables here",
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"content": "what does that mean",
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"content": "theres no unknown in what you wrote",
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"content": "oh",
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"content": "but how do i minus fractions like that",
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"timestamp": "01/09/2023 12:42:14",
"content": "I just joined, so sorry but what exactly is the fraction here ? 30-(60/5) right ?",
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"content": "yes",
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"timestamp": "01/09/2023 12:43:47",
"content": "You can solve 60/5 first and then do the next 30- part",
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"content": "so the fractions is just for dividing?",
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"content": "wait i got an example",
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"content": "equations that look like this",
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"content": "except the x is 5",
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"timestamp": "01/09/2023 12:45:37",
"content": "do i just need to divide 60 by 5 ?",
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"timestamp": "01/09/2023 12:45:51",
"content": "Yep",
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"timestamp": "01/09/2023 12:46:01",
"content": "oh okay",
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"timestamp": "01/09/2023 12:46:06",
"content": "thank you:)",
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"timestamp": "01/09/2023 12:46:21",
"content": "60/5 = 12",
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"timestamp": "01/09/2023 12:46:31",
"content": "And then u can subtract 12 from 20",
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"timestamp": "01/09/2023 12:46:40",
"content": "ohhhh",
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"timestamp": "01/09/2023 12:47:29",
"content": "\\begin{align*} \n20 - \\frac{60}{5} & = x\\\\\n20 - 12 & = x \\\\\n8 & = x\n\\end{align*}",
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"timestamp": "01/09/2023 12:47:54",
"content": "thank you sm",
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"timestamp": "01/09/2023 12:48:06",
"content": "^°^ good luck on ur Homework",
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"timestamp": "01/09/2023 12:48:11",
"content": "thanks:)",
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] | help-9 | 6ff01fafac81474697ffffa888ad24e7 |
200,647 | [
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"content": "trying to prove artanh",
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"timestamp": "01/09/2023 12:57:08",
"content": "Done this so far",
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"content": "you don't need the quadratic formula",
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"content": "@SA2017 Has your question been resolved?",
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"content": "True",
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] | help-9 | d78116805a4e4d9ab2785627fcbc6fa5 |
200,648 | [
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"content": "why does this",
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"content": "Pinned a message.",
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"content": "equal this",
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"content": "draw pascals triangle",
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"timestamp": "01/09/2023 14:35:09",
"content": "then check which numbers you are adding and what result you get",
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"content": "otherwise you can also do it by induction",
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"content": "okay... is there some nicer method",
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"content": "other than induction:hmmCat:",
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"content": "like a way of making memorizing it easy",
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"content": "those 2 methods are the most straightforward",
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"content": "i mean something a bit more intuitive to see",
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"content": "but its okay",
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"content": "ill draw the triangle and see",
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"content": "dont think it gets more intuitive than pascals",
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"content": "it's a tedious calculation how is it intuitive",
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"content": "except if i am missing something",
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"author_name": "Denascite",
"timestamp": "01/09/2023 14:38:20",
"content": "how is looking at a triangle a tedious calculation",
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"author_name": "Dazzlefishe",
"timestamp": "01/09/2023 14:38:51",
"content": "the bottom part is the line, the upper part is the column right?",
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"timestamp": "01/09/2023 14:40:25",
"content": "n choose k is the k'th entry in the n'th line if that's what you mean",
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"timestamp": "01/09/2023 14:40:27",
"content": "starting at 0",
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"content": "n choose k is choosing k elements in an n elements set yeah?",
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"timestamp": "01/09/2023 14:41:18",
"content": "sry i study in french",
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"content": "that is one interpretation of it, yes",
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"content": "dont see how that's relevant here but ok",
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"content": "mmm... theres other interpretations?",
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"timestamp": "01/09/2023 14:42:18",
"content": "Ah yeah nvm it's just a formula so ofc theres other interpretations",
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"timestamp": "01/09/2023 14:42:35",
"content": "tho i am not familiar with any of em xd",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | ca7be5f398f34705941e66a8201e3f7d |
200,649 | [
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"timestamp": "01/09/2023 14:45:53",
"content": "thks",
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"author_name": "Stallion.15",
"timestamp": "01/09/2023 14:47:27",
"content": "Hi guys I’m not sure how to continue to solve for x??",
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"content": "Yeah, you're basically done",
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"content": "Save for actually looking up at the logarithm table",
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"content": "log 5 u can take 0.699 or 0.7",
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"content": "The textbook said a different answer",
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"content": "1/2 log5 +1/2",
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"content": "That's basically the exact result.",
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"timestamp": "01/09/2023 15:00:09",
"content": "So in exam I can leave it as 2x=….",
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"content": "No, you divide by 2",
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"timestamp": "01/09/2023 15:00:49",
"content": "Both sides?",
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"content": "ya",
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"timestamp": "01/09/2023 15:15:49",
"content": "@Stallion.15 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 04041e6fdcd142dd8325c89e56c77d02 |
200,650 | [
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"timestamp": "01/09/2023 15:22:02",
"content": "Hi again",
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"timestamp": "01/09/2023 15:22:31",
"content": "I’m not stuck in answering this question",
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"content": "Hi guys, I’m stuck in tryna answer this question",
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"content": "Pinned a message.",
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"timestamp": "01/09/2023 15:24:38",
"content": "I’m not sure how they got this answer",
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"timestamp": "01/09/2023 15:24:49",
"content": "I have done my working above",
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"timestamp": "01/09/2023 15:27:41",
"content": "your calculation is correct, but you calculated how long ago it happend",
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"id": 1062105499329372200,
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"timestamp": "01/09/2023 15:28:04",
"content": "and they ask when he died",
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"timestamp": "01/09/2023 15:28:07",
"content": "Yes, although they have done something weird with the rounding it apperas",
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"timestamp": "01/09/2023 15:29:01",
"content": "I think that is a big enough hint for him to find the answer on his own",
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"timestamp": "01/09/2023 15:29:36",
"content": "So what’s supposed to happen now",
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"timestamp": "01/09/2023 15:29:48",
"content": "Did you figure it out?",
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"timestamp": "01/09/2023 15:29:55",
"content": "Not yet no",
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"timestamp": "01/09/2023 15:30:27",
"content": "I have sort of a difficulty understanding the question, I meant like the wording is confusing me",
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"timestamp": "01/09/2023 15:30:42",
"content": "Look at what you have given in the question",
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"timestamp": "01/09/2023 15:31:15",
"content": "Like u said I calculated how long ago he died",
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"timestamp": "01/09/2023 15:31:35",
"content": "Approx 12 hours ago",
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"content": "yes, but you need to know the time stamp on when he died",
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"timestamp": "01/09/2023 15:32:09",
"content": "The problem is that they did not specify what \"t\" is",
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"timestamp": "01/09/2023 15:32:33",
"content": "The textbook answer?",
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"content": "Wait nvm, I was reading it as 9pm",
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"content": "The textbook answer is correct, and I have been a fool",
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"timestamp": "01/09/2023 15:33:11",
"content": "It’s alright",
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"timestamp": "01/09/2023 15:33:24",
"content": "So do I need to redo my full calculations",
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"content": "No, you have everything there",
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"timestamp": "01/09/2023 15:33:52",
"content": "Think about what you have been given in the problem that you haven't used",
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"content": "That is usually the key",
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"timestamp": "01/09/2023 15:43:21",
"content": "The 7pm and 9pm?",
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"timestamp": "01/09/2023 15:48:12",
"content": "Yes, and what did \"t\" represent?",
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"timestamp": "01/09/2023 15:55:50",
"content": "Time",
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"timestamp": "01/09/2023 15:56:06",
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"timestamp": "01/09/2023 15:56:23",
"content": "So what do I do now",
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"author_name": "lvg",
"timestamp": "01/09/2023 16:02:55",
"content": "that isnt right and if it would have been right you would have the answer",
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"timestamp": "01/09/2023 16:03:34",
"content": "So what’s do I do",
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"timestamp": "01/09/2023 16:04:55",
"content": "you want to substract the value you found from t from your 9 am, but you have to remember its in hours and the decimals are your minutes",
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"timestamp": "01/09/2023 16:05:13",
"content": "so you will have to do 9 am and then go 12 hours back",
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"timestamp": "01/09/2023 16:05:32",
"content": "and then in that hour you have to also substract the amount of minutes from your decimals",
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"timestamp": "01/09/2023 16:06:08",
"content": "But your decimals arent converted yet in minutes, but you can get the amount of minutes by multiplying the decimals * 60",
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"timestamp": "01/09/2023 16:06:13",
"content": "and then you have the time the person died",
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"timestamp": "01/09/2023 16:06:57",
"content": "However then you have to calculate the time between the person dying, which you just got and the telephone call at 7pm",
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"timestamp": "01/09/2023 16:08:42",
"content": "Could you please show me on a paper?",
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"timestamp": "01/09/2023 16:13:05",
"content": "",
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"timestamp": "01/09/2023 16:19:33",
"content": "Ohhhhh",
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"timestamp": "01/09/2023 16:19:40",
"content": "That explains it much better",
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"author_name": "Stallion.15",
"timestamp": "01/09/2023 16:20:11",
"content": "So the answer can be written as 8:46pm",
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"timestamp": "01/09/2023 16:20:32",
"content": "no",
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"id": 1062118763798986900,
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"author_name": "lvg",
"timestamp": "01/09/2023 16:20:46",
"content": "as in the question they ask the time between the call and time of death",
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"timestamp": "01/09/2023 16:31:25",
"content": "Yes 👍",
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"timestamp": "01/09/2023 16:46:25",
"content": "@Stallion.15 Has your question been resolved?",
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"timestamp": "01/09/2023 16:49:20",
"content": "Channel closed",
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] | help-9 | 27a26d0c154346d4a92f8e4501762657 |
200,651 | [
{
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"content": "Available help channel!",
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"timestamp": "01/09/2023 16:51:21",
"content": "Hi guys",
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"content": "Pinned a message.",
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"timestamp": "01/09/2023 16:51:38",
"content": "I’m having sm trouble solving for x",
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"author_name": "Mortta",
"timestamp": "01/09/2023 16:52:39",
"content": "remember that its e^(x-2)",
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"timestamp": "01/09/2023 16:52:44",
"content": "so u can brind the x to the fron too",
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"timestamp": "01/09/2023 16:52:53",
"content": "so its x-2(log_e(e))",
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"timestamp": "01/09/2023 16:55:42",
"content": "there is a slight issue here",
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"timestamp": "01/09/2023 16:58:40",
"content": "**baro \\| awake**",
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"timestamp": "01/09/2023 16:59:02",
"content": "remember, you're doing the whole of each side of the equation",
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"content": "i would move the -2 over to the other side before i did anything with the log",
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"timestamp": "01/09/2023 17:02:28",
"content": "Ok",
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"timestamp": "01/09/2023 17:02:35",
"content": "And so?",
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"author_name": "Mehdi_Moulati",
"timestamp": "01/09/2023 17:05:29",
"content": ". **<=>**x - 2 = log_e(9)\n **<=>** x = log_e(9) + 2",
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"content": "@Stallion.15 Has your question been resolved?",
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] | help-9 | abae2dd965c64392956fbe7a2962924a |
200,652 | [
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"timestamp": "01/09/2023 17:35:12",
"content": "Hi there I was just wondering what I was meant to do in order to answer this",
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"content": "I started by using similtanious equations in order to find similar points between the two gradients",
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"content": "Use the fact that if a line had slope $m$, then the perpendicular line has slope $-\\frac{1}{m}$.",
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"timestamp": "01/09/2023 17:37:10",
"content": "I re arranged the first to get y=-2X/3+26",
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"timestamp": "01/09/2023 17:37:19",
"content": "**kappa**",
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"timestamp": "01/09/2023 17:37:47",
"content": "Then I used the negative reciprocal to get y=3/2X+26",
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"content": "You also have to divide 26 by 3",
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"content": "Right",
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"content": "The perpendicular has a y-intercept of 0 so you would have y=3/2x",
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"id": 1062138519864230000,
"author_id": 631186000978378800,
"author_name": "RepeatedPineTree",
"timestamp": "01/09/2023 17:39:16",
"content": "So when I go to simplify I end up with -2X/3=3x/2",
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"timestamp": "01/09/2023 17:39:29",
"content": "This is the part where I get confused",
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"id": 1062138660323074000,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "01/09/2023 17:39:50",
"content": "Now you would find where the 2 lines meet",
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"id": 1062139188448862200,
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"timestamp": "01/09/2023 17:41:56",
"content": "So-4x=9x",
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"id": 1062139227682386000,
"author_id": 631186000978378800,
"author_name": "RepeatedPineTree",
"timestamp": "01/09/2023 17:42:05",
"content": "13x=0",
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"author_id": 631186000978378800,
"author_name": "RepeatedPineTree",
"timestamp": "01/09/2023 17:42:15",
"content": "I don’t know what went wrong there",
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"author_name": "RepeatedPineTree",
"timestamp": "01/09/2023 17:42:41",
"content": "I times both sides by 6 to get rid of the denominator",
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"author_name": "kappa",
"timestamp": "01/09/2023 17:49:39",
"content": "$-\\frac{2}{3}x+\\frac{26}{3}=\\frac{-2x+26}{3}=\\frac{3}{2}x \\Rightarrow -4x+52=9 \\Rightarrow 4x=43 \\Rightarrow x=\\frac{43}{4}$",
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"id": 1062141144336711700,
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"timestamp": "01/09/2023 17:49:42",
"content": "**kappa**",
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"author_name": "RepeatedPineTree",
"timestamp": "01/09/2023 17:51:28",
"content": "Isn’t the 3/2X also plus 26/3",
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"author_name": "RepeatedPineTree",
"timestamp": "01/09/2023 18:03:17",
"content": "$-\\frac{2}{3}x=\\frac{3}{2}x \\Rightarrow -4x+52=9 \\Rightarrow 4x=43 \\Rightarrow x=\\frac{43}{4}$",
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"id": 1062144571854835700,
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"timestamp": "01/09/2023 18:03:19",
"content": "**RepeatedPineTree**",
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"author_name": "RepeatedPineTree",
"timestamp": "01/09/2023 18:04:50",
"content": "$-\\frac{2}{3}x+\\frac{26}{3}=\\frac{-2x+26}{3}=\\frac{3}{2}x $",
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"id": 1062148727772553300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 18:19:50",
"content": "@RepeatedPineTree Has your question been resolved?",
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"timestamp": "01/09/2023 18:30:23",
"content": "Channel closed",
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}
] | help-9 | 5b35f35c1f9c489d9af11876422addcc |
200,653 | [
{
"id": 1062151633728962600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 18:31:23",
"content": "Available help channel!",
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},
{
"id": 1062152094519394600,
"author_id": 342272536073076740,
"author_name": "Mantve",
"timestamp": "01/09/2023 18:33:13",
"content": "using the known power series, calculate sin 2 to the nearest 0.001",
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"id": 1062152096775938200,
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"timestamp": "01/09/2023 18:33:13",
"content": "Pinned a message.",
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"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "01/09/2023 18:33:44",
"content": "use maclaurin series",
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"id": 1062152300770119700,
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"author_name": "Mortta",
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"content": "https://gyazo.com/2e554aa633351c60325cbcb4b7ccb9f6",
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"timestamp": "01/09/2023 18:34:13",
"content": "thats for sin(x)",
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"id": 1062152356361408500,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "01/09/2023 18:34:15",
"content": "so just plug in 2",
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"author_id": 342272536073076740,
"author_name": "Mantve",
"timestamp": "01/09/2023 18:36:09",
"content": "Thank you",
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},
{
"id": 1062152841705300000,
"author_id": 342272536073076740,
"author_name": "Mantve",
"timestamp": "01/09/2023 18:36:11",
"content": ".close",
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},
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"id": 1062152844519669900,
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"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 18:36:11",
"content": "Channel closed",
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}
] | help-9 | d5f98188bed4493e904eecb4b8ed83a2 |
200,654 | [
{
"id": 1035376029704921100,
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"content": "Available help channel!",
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{
"id": 1035376220440895500,
"author_id": 253993683525959680,
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"timestamp": "10/27/2022 22:15:27",
"content": "Help",
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},
{
"id": 1035376222571602000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 22:15:27",
"content": "Pinned a message.",
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"timestamp": "10/27/2022 22:17:01",
"content": "Alright, so I am getting 74 degrees and the answers says 46 degrees I believe",
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"id": 1035376642203320400,
"author_id": 253993683525959680,
"author_name": "Royal",
"timestamp": "10/27/2022 22:17:07",
"content": "Can anyone notice anything wrong about my process",
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},
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"id": 1035376651716014200,
"author_id": 253993683525959680,
"author_name": "Royal",
"timestamp": "10/27/2022 22:17:10",
"content": "I am reviewing trig",
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"id": 1035378179642249300,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/27/2022 22:23:14",
"content": "what's the question?",
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"timestamp": "10/27/2022 22:32:10",
"content": "@Royal Has your question been resolved?",
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"author_name": "Royal",
"timestamp": "10/27/2022 22:38:01",
"content": "That is a good point",
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"author_name": "luckydongdong",
"timestamp": "10/27/2022 22:40:15",
"content": "i think you used wrong sides",
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"id": 1035382492053651500,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/27/2022 22:40:22",
"content": "x is between AB and BC, not AC and BC",
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"timestamp": "10/27/2022 22:47:10",
"content": "Channel closed",
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}
] | help-9 | 1d77937afa784762aa880bebdc1bab31 |
200,655 | [
{
"id": 1062156409657114600,
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"timestamp": "01/09/2023 18:50:21",
"content": "Available help channel!",
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"id": 1062156582588260500,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:51:03",
"content": "if you have x³+c=0 what is the best way to find all solutions for x",
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"id": 1062156584496672800,
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"timestamp": "01/09/2023 18:51:03",
"content": "Pinned a message.",
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"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:51:10",
"content": "if c is a constant",
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"id": 1062156817406365700,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:51:59",
"content": "i thought about taking the cube root first and then doing synthetic division to reduce the equation to a quadratic then use the quadratic formula",
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"id": 1062156946540609700,
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"timestamp": "01/09/2023 18:52:29",
"content": "if its just x^3 + c = 0 then just cube root it",
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"timestamp": "01/09/2023 18:52:39",
"content": "that’s only one solution",
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"timestamp": "01/09/2023 18:52:57",
"content": "do you also want the complex solutions?",
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"id": 1062157071543443600,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:52:59",
"content": "yea",
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"id": 1062157134470594700,
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"author_name": "heavy",
"timestamp": "01/09/2023 18:53:14",
"content": "alright well just use that",
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"id": 1062157198555369500,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:53:30",
"content": "is it the most time efficient",
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"id": 1062157328855609300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:54:01",
"content": "$|z^3| = |z|^3$",
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"id": 1062157340616429600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/09/2023 18:54:03",
"content": "**Gijs**",
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"id": 1062157367443210400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:54:10",
"content": "and $arg(z^3) = 3arg(z)$",
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"content": "**Gijs**",
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"timestamp": "01/09/2023 18:54:26",
"content": "what does arg(x) do",
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"id": 1062157469255749600,
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"author_name": "heavy",
"timestamp": "01/09/2023 18:54:34",
"content": "its the angle",
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"id": 1062157487861670000,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:54:39",
"content": "oh",
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"id": 1062157512759054300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:54:44",
"content": "with the positive real axis",
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"id": 1062157567486345200,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:54:58",
"content": "yea",
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"id": 1062157638676262900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:55:14",
"content": "exponential form is better in general",
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"id": 1062157652253212700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:55:18",
"content": "but you dont need it",
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"id": 1062157680673816600,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:55:25",
"content": "i haven’t learned that xd",
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"id": 1062157730565079200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:55:36",
"content": "have you learned about complex numbers?",
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"timestamp": "01/09/2023 18:55:39",
"content": "yea",
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"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:55:45",
"content": "oh thats odd",
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"author_name": "Jash",
"timestamp": "01/09/2023 18:55:58",
"content": "we haven’t done trig yet",
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"timestamp": "01/09/2023 18:56:27",
"content": "well we learned the basics anyway",
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"timestamp": "01/09/2023 18:56:34",
"content": "but you know about complex numbers?",
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"id": 1062157998182641800,
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"timestamp": "01/09/2023 18:56:40",
"content": "interesting",
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"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:56:41",
"content": "like adding multiplying dividing and stuff",
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"id": 1062158029065302000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:56:48",
"content": "fair enough",
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"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:57:39",
"content": "yea we’ve only learned synthetic division",
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"id": 1062158286255816700,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:57:49",
"content": "to find complex roots",
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},
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"id": 1062158450060181500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:58:28",
"content": "uhm alright",
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},
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"id": 1062158477654511700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:58:35",
"content": "so then",
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"id": 1062158660366774400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/09/2023 18:59:18",
"content": "factor $(x-\\sqrt[3]{-c})x^2 = -c$",
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},
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"id": 1062158673142628500,
"author_id": 402545906718605300,
"author_name": "Jash",
"timestamp": "01/09/2023 18:59:21",
"content": "is there a way to add something and then subtract it right away so you can factor",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/09/2023 18:59:50",
"content": "**Gijs**",
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"author_name": "Jash",
"timestamp": "01/09/2023 18:59:55",
"content": "like ik you can factor x^4+5x^2+9 if you just add and subtract x^2",
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"timestamp": "01/09/2023 19:14:56",
"content": "@Jash Has your question been resolved?",
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"timestamp": "01/09/2023 19:28:26",
"content": "Channel closed",
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}
] | help-9 | f0f14ab1831c4c64a74f6f02911dc5be |
200,656 | [
{
"id": 1062173416515452900,
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"timestamp": "01/09/2023 19:57:56",
"content": "Available help channel!",
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},
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"id": 1062175228421210100,
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"content": "Pinned a message.",
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"author_name": "HellO",
"timestamp": "01/09/2023 20:05:15",
"content": "Hi can someone tell me why this is wrong?",
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"id": 1062175976215285800,
"author_id": 560241701612945400,
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"timestamp": "01/09/2023 20:08:07",
"content": "wut",
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"id": 1062176039738024000,
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"timestamp": "01/09/2023 20:08:22",
"content": "@Moderators",
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"id": 1062176072243892200,
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"author_name": "dog.",
"timestamp": "01/09/2023 20:08:29",
"content": "sending this in many channels",
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},
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"id": 1062176345104318600,
"author_id": 806500519421018100,
"author_name": "Thunder_",
"timestamp": "01/09/2023 20:09:34",
"content": "sorry",
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"id": 1062176383918411800,
"author_id": 806500519421018100,
"author_name": "Thunder_",
"timestamp": "01/09/2023 20:09:44",
"content": "i'm new so not much idea",
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"id": 1062176433444761700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "01/09/2023 20:09:56",
"content": "#❓how-to-get-help",
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{
"id": 1062176440541511700,
"author_id": 560241701612945400,
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"timestamp": "01/09/2023 20:09:57",
"content": "read",
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"id": 1062176528634499200,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "01/09/2023 20:10:18",
"content": "just a think a little you sent that in like 6 channels",
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"author_name": "Thunder_",
"timestamp": "01/09/2023 20:10:56",
"content": "i'm just really frustrated",
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"id": 1062176707227959300,
"author_id": 806500519421018100,
"author_name": "Thunder_",
"timestamp": "01/09/2023 20:11:01",
"content": "i' sorry",
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"id": 1062176720041549800,
"author_id": 806500519421018100,
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"timestamp": "01/09/2023 20:11:04",
"content": "i'm",
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"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 20:24:57",
"content": "@HellO Has your question been resolved?",
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"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 20:26:16",
"content": "Channel closed",
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] | help-9 | 0f3203cbc0554cca9bd9e9d417b41d9f |
200,657 | [
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"content": "Available help channel!",
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"id": 1062184439532236800,
"author_id": 667197780099334100,
"author_name": "mint",
"timestamp": "01/09/2023 20:41:44",
"content": "Can someone explain how to solve these inequalities?",
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"content": "Pinned a message.",
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"id": 1062184583703044100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/09/2023 20:42:19",
"content": "Draw the graphs of sin cos tan",
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"id": 1062184607728013300,
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"timestamp": "01/09/2023 20:42:24",
"content": "Label the x axis correctly",
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"id": 1062184997546623100,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/09/2023 20:43:57",
"content": "between 0 and pi, cosx is decreasing, and between pi and 2pi it is increasing",
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"id": 1062185137812537500,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/09/2023 20:44:31",
"content": "between 0 and pi/2 sin is increasing, between pi/2 and 3pi/2 its decreasing, and increasing again from 3pi/2 to 2pi",
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"id": 1062185217915363300,
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"timestamp": "01/09/2023 20:44:50",
"content": "etc",
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{
"id": 1062188215634776200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/09/2023 20:56:45",
"content": "@mint Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | e0d8422455694bcdb29fbdca3d702b67 |
200,658 | [
{
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"content": "Available help channel!",
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{
"id": 1062208440522522800,
"author_id": 894710204724293800,
"author_name": "YOUR LOCAL HEALTH IS HERE",
"timestamp": "01/09/2023 22:17:07",
"content": "what is the difference between biased and unbiased",
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"timestamp": "01/09/2023 22:17:07",
"content": "Pinned a message.",
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"timestamp": "01/09/2023 22:17:29",
"content": "Why can't you just Google this",
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"timestamp": "01/09/2023 22:17:59",
"content": "i did and its not giving an accurate answer",
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"id": 1062208677047705600,
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"timestamp": "01/09/2023 22:18:03",
"content": "https://en.wikipedia.org/wiki/Bias_(statistics)",
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"id": 1062208750481584100,
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"timestamp": "01/09/2023 22:18:20",
"content": "What makes you say resources are inaccurate?",
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"id": 1062208808463650800,
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"author_name": "riemann",
"timestamp": "01/09/2023 22:18:34",
"content": "You have your own resource you claim is true?",
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"author_id": 894710204724293800,
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"timestamp": "01/09/2023 22:19:13",
"content": "what give all other answers",
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"id": 1062208999266721900,
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"timestamp": "01/09/2023 22:19:20",
"content": "like example",
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"id": 1062209063577997400,
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"author_name": "riemann",
"timestamp": "01/09/2023 22:19:35",
"content": "What does this mean",
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"id": 1062209095932842100,
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"timestamp": "01/09/2023 22:19:43",
"content": "Can you answer this",
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"id": 1062209200970801200,
"author_id": 894710204724293800,
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"timestamp": "01/09/2023 22:20:08",
"content": "not really",
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"id": 1062209512322383900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/09/2023 22:21:22",
"content": "Then why'd you say this",
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"timestamp": "01/09/2023 22:21:42",
"content": "can i give an example",
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"id": 1062209746226131000,
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"author_name": "riemann",
"timestamp": "01/09/2023 22:22:18",
"content": "Just give as much detail as you have",
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"timestamp": "01/09/2023 22:23:11",
"content": "i know one of them just gives a few choices",
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"id": 1062210036266438700,
"author_id": 894710204724293800,
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"timestamp": "01/09/2023 22:23:27",
"content": "but the other gives all",
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"id": 1062210412717813800,
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"timestamp": "01/09/2023 22:24:57",
"content": "You're not making any sense",
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"timestamp": "01/09/2023 22:25:15",
"content": "Can you skim this and see if this is what you're talking about",
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"id": 1062210779253854200,
"author_id": 894710204724293800,
"author_name": "YOUR LOCAL HEALTH IS HERE",
"timestamp": "01/09/2023 22:26:24",
"content": "yes its not accurate enough for me",
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"id": 1062210860065489000,
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"author_name": "YOUR LOCAL HEALTH IS HERE",
"timestamp": "01/09/2023 22:26:43",
"content": "let me give you questoin",
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"content": "",
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"timestamp": "01/09/2023 22:28:21",
"content": "This is not a math term",
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"id": 1062211305924206600,
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"timestamp": "01/09/2023 22:28:30",
"content": "You're in the wrong server",
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"id": 1062211358910849000,
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"timestamp": "01/09/2023 22:28:42",
"content": "im not",
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] | help-9 | c13273ae4ab24804b9e92cfed68426f0 |
200,659 | [
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"content": "I don’t know if solve correctly for e^x or something",
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"content": "The answer is supposed to be 2(1+e^x) ^1/2 + C",
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"content": "But I’m not getting that",
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"content": "this doesn't follow",
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"content": "you might have an easier time just letting u = 1 + e^x",
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"content": "Did I get the derivative wrong?",
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"content": "you dropped the radical",
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"content": "Ohh I see",
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"content": "Thanks",
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"content": "Lemme re-check real quick",
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"content": "Is almost there but I still did not get the answer after the changes and fixes",
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"timestamp": "01/09/2023 22:53:51",
"content": "the u you picked is u = (1 + e^x)^1/2, So you should just get 2u/u du",
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"content": "Ohh I see thank you so much @Zybikron",
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"content": "I get lost a lot with the algebra in calc",
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"timestamp": "01/09/2023 22:58:50",
"content": "Thank you",
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] | help-9 | d56ec1295eb24e91aada81d8eaef8b5c |
200,660 | [
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] | help-9 | b66d257cef0a426abc49bb052a3a2e30 |
200,661 | [
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"content": "What integrals do i set to find the area enclosed by these 2 curves?",
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"content": "these are the equations of the curves",
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"timestamp": "01/09/2023 23:48:02",
"content": "Blue - red on the interval blue is on top of red",
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"author_name": "Jun♾",
"timestamp": "01/09/2023 23:48:22",
"content": "So i minus the integral of the blue one by the red?",
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"id": 1062231433898360800,
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"timestamp": "01/09/2023 23:48:29",
"content": "Ye",
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"timestamp": "01/09/2023 23:48:34",
"content": "Ohhh",
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"id": 1062231489510654000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/09/2023 23:48:42",
"content": "Or take the integral of blue - red, same thing",
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"id": 1062231516597461000,
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"timestamp": "01/09/2023 23:48:48",
"content": "Ya",
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"author_name": "Jun♾",
"timestamp": "01/09/2023 23:49:00",
"content": "Wait but what points?",
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"timestamp": "01/09/2023 23:49:09",
"content": "Between -1 and 2",
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"content": "Oh",
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"timestamp": "01/09/2023 23:49:29",
"content": "blue minus red",
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"timestamp": "01/09/2023 23:49:33",
"content": "crap my brain 🧠",
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"timestamp": "01/09/2023 23:49:48",
"content": "Ok i get it",
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"content": "Thxx",
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] | help-9 | be542aef1077488ca784d0fe8ae4a4d3 |
200,662 | [
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"timestamp": "01/10/2023 01:00:06",
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"timestamp": "01/10/2023 01:03:06",
"content": "OK so I have an idea",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "01/10/2023 01:03:41",
"content": "Looks like 25 cities gives 25! Different possible paths, so divide that by 10,000,000 paths per second should get u the time",
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"timestamp": "01/10/2023 01:03:56",
"content": "That's exactly what I thought",
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"timestamp": "01/10/2023 01:04:03",
"content": "Bro great minds think alike",
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"content": "is that it?",
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"content": "But you have to guide @Angelina through the thought process",
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"timestamp": "01/10/2023 01:04:40",
"content": "yes please",
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"timestamp": "01/10/2023 01:05:09",
"content": "OK so you're gonna go through all the cities once and try all possibilities right?",
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"content": "Yes",
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"content": "It's like you have a row of a table",
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"timestamp": "01/10/2023 01:05:30",
"content": "Also is this a feasible algorithm",
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"content": "And you're gonna order the cities by which one you visit first",
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"timestamp": "01/10/2023 01:05:59",
"content": "Yes",
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"timestamp": "01/10/2023 01:06:13",
"content": "You're gonna start with city 1 then 2 then 3 until the last ( city n)",
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"timestamp": "01/10/2023 01:06:22",
"content": "Then you're gonna switch places",
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"timestamp": "01/10/2023 01:06:33",
"content": "Doesn't this remind you of anything?",
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"timestamp": "01/10/2023 01:06:53",
"content": "The number of all possible orders of some stuff?",
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"timestamp": "01/10/2023 01:07:06",
"content": "*permutations* maybe?",
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"timestamp": "01/10/2023 01:07:32",
"content": "The number of all possible permutations of n items is n!",
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"timestamp": "01/10/2023 01:07:37",
"content": "Wait wait",
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"timestamp": "01/10/2023 01:07:40",
"content": "25/10k",
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"timestamp": "01/10/2023 01:07:43",
"content": "It’s 0.0025",
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"timestamp": "01/10/2023 01:07:46",
"content": "Nope",
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"timestamp": "01/10/2023 01:07:46",
"content": "But that’s in what",
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"timestamp": "01/10/2023 01:07:49",
"content": "25!",
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"timestamp": "01/10/2023 01:07:50",
"content": "Oh",
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"timestamp": "01/10/2023 01:07:55",
"content": "25 factorial",
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"timestamp": "01/10/2023 01:08:04",
"content": "Wait how",
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"timestamp": "01/10/2023 01:08:06",
"content": "25x24x23....x2x1",
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"id": 1062251607942762500,
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"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:08:39",
"content": "Because you have 25 items, and you are going to count all the possible orders you can put them into",
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"timestamp": "01/10/2023 01:09:14",
"content": "You can start by city 1 then city 3 then city 2 and the rest stays as is",
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"timestamp": "01/10/2023 01:09:25",
"content": "Or you can start by city 1 then 4",
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"timestamp": "01/10/2023 01:09:28",
"content": "Etc..",
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"timestamp": "01/10/2023 01:09:31",
"content": "What is this for then",
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"content": "I'm going step by step",
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"timestamp": "01/10/2023 01:09:49",
"content": "Oh",
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"timestamp": "01/10/2023 01:10:03",
"content": "25! Is the total number of possibilities",
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"timestamp": "01/10/2023 01:10:20",
"content": "But how many possibilities can your computer calculate per second?",
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"author_name": "Angelina",
"timestamp": "01/10/2023 01:10:27",
"content": "1…",
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"author_name": "Angelina",
"timestamp": "01/10/2023 01:10:33",
"content": "Idk 😭",
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"timestamp": "01/10/2023 01:10:41",
"content": "Read the exercice",
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"timestamp": "01/10/2023 01:10:56",
"content": "10k",
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"timestamp": "01/10/2023 01:11:02",
"content": "Exactly",
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"timestamp": "01/10/2023 01:11:12",
"content": "But those are paths not cities wdym",
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"timestamp": "01/10/2023 01:11:39",
"content": "The exercice tells you that the PC knows all the distances between the cities",
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"id": 1062252419859365900,
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"timestamp": "01/10/2023 01:11:52",
"content": "So it's enough for it to give it the order you want to go in",
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"timestamp": "01/10/2023 01:12:00",
"content": "Oh",
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"timestamp": "01/10/2023 01:12:00",
"content": "And then it calculates the distance by itself",
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"id": 1062252502315172000,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:12:12",
"content": "So what do I do then",
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"timestamp": "01/10/2023 01:12:32",
"content": "Then sorts the results it gets to know the shortest path",
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"timestamp": "01/10/2023 01:12:40",
"content": "I want you to tell me",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "01/10/2023 01:12:54",
"content": "Actually 10m, it says million",
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"timestamp": "01/10/2023 01:13:08",
"content": "Ok",
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"timestamp": "01/10/2023 01:13:15",
"content": "*It doesn't really change much* hhh",
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"timestamp": "01/10/2023 01:13:42",
"content": "OK so if you have for example a 1 billion possibilities",
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"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:13:57",
"content": "How much time does your pc need to calculate them?",
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"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:14:23",
"content": "A billion????",
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"id": 1062253071738089600,
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"timestamp": "01/10/2023 01:14:28",
"content": "For example",
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"timestamp": "01/10/2023 01:14:53",
"content": "You'll see why this is funny compared to the actual exercise",
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"id": 1062253274494931100,
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"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:15:16",
"content": "Your oc calculates 10Million paths a sec",
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"timestamp": "01/10/2023 01:15:21",
"content": "And you have 1 Bil",
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"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:15:30",
"content": "How much time will it take?",
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"id": 1062253397740376000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:15:45",
"content": "Your pc*",
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"id": 1062253781217189900,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:17:17",
"content": "10….",
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"timestamp": "01/10/2023 01:17:35",
"content": "10 what? 🙂",
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"author_name": "Angelina",
"timestamp": "01/10/2023 01:19:00",
"content": "Thousand",
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"id": 1062254216464302100,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:19:00",
"content": "???",
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{
"id": 1062254413021990900,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:19:47",
"content": "How did you get thay result?",
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"id": 1062254442130444300,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:19:54",
"content": "Idk is it wrong",
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"id": 1062254635164901400,
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"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:20:40",
"content": "Well, in order to be really correcg, you have to provide the way in which you found the answer",
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"id": 1062254650583175200,
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"author_name": "Angelina",
"timestamp": "01/10/2023 01:20:44",
"content": "10 m x 10k is one billion it can only calculate 10 million in 1 second",
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{
"id": 1062254681339998300,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:20:51",
"content": "????",
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{
"id": 1062254753398132700,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:21:08",
"content": "How much is a billion?",
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"id": 1062254854942240900,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:21:33",
"content": "What",
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},
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"id": 1062254895941554200,
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"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:21:42",
"content": "It's 1000 Million",
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},
{
"id": 1062254942129234000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:21:53",
"content": "Not 10 000 M",
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},
{
"id": 1062254983904510000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:22:03",
"content": "So the answer is 1000 seconds",
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"id": 1062255042641526800,
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"timestamp": "01/10/2023 01:22:17",
"content": "That is why I asked you for the way you calculated it",
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"id": 1062255135826378900,
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"timestamp": "01/10/2023 01:22:40",
"content": "It's fine",
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"id": 1062255177693925400,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:22:50",
"content": "What??? It’s 10,000,000",
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"id": 1062255218500313100,
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"timestamp": "01/10/2023 01:22:59",
"content": "Lsee google",
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"timestamp": "01/10/2023 01:23:07",
"content": "It’s 10 million",
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"id": 1062255351317139500,
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"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:23:31",
"content": "Sorry I added a 0 lol",
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"id": 1062255368375390300,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:23:35",
"content": "It's 100",
"attachments": [],
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},
{
"id": 1062255409479553200,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:23:45",
"content": "100 million",
"attachments": [],
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},
{
"id": 1062255436134359000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:23:51",
"content": "No",
"attachments": [],
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},
{
"id": 1062255450705379500,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:23:55",
"content": "100 seconds",
"attachments": [],
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},
{
"id": 1062255547421835300,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:24:18",
"content": "Because 1000 M devided by 10 M = 100",
"attachments": [],
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},
{
"id": 1062255720680149000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:24:59",
"content": "Did you get it?",
"attachments": [],
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},
{
"id": 1062255749658583000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:25:06",
"content": "Or should we try another example?",
"attachments": [],
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},
{
"id": 1062255762484772900,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:25:09",
"content": "Ok what about my original question",
"attachments": [],
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},
{
"id": 1062255799277207600,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:25:18",
"content": "Yeah we're getting there",
"attachments": [],
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},
{
"id": 1062255800359333900,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:25:18",
"content": "The one I sent",
"attachments": [],
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},
{
"id": 1062255885117833200,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:25:38",
"content": "OK so you don't have a Billion possibilities but 25!",
"attachments": [],
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},
{
"id": 1062255931150315600,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:25:49",
"content": "Type 25! In google",
"attachments": [],
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},
{
"id": 1062255964742488000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:25:57",
"content": "And tell me what you get",
"attachments": [],
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},
{
"id": 1062256021587890300,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:26:11",
"content": "THATS A NUMBER??? I THOUFHT IT WAS AN EZCLAMINSTION",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062256085924327400,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:26:26",
"content": "I told you 25! Is called 25 factorial",
"attachments": [],
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"reference": null
},
{
"id": 1062256148541100000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:26:41",
"content": "OK now I understand why it's so mysterious to you",
"attachments": [],
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},
{
"id": 1062256168791179300,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:26:46",
"content": "Where does that say 25! In the problem",
"attachments": [],
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},
{
"id": 1062256347384656000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:27:28",
"content": "OK you have to see a demonstration as to why permutating n things gives you n factorial (n!) possibilities",
"attachments": [],
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"reference": null
},
{
"id": 1062256390443388900,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:27:39",
"content": "I DONT KNOW WHAT THAT MEANS",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062256402137096200,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:27:42",
"content": "You’re confusing me more",
"attachments": [],
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"reference": null
},
{
"id": 1062256555610886300,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:28:18",
"content": "Sorry, I'm trying my best, but it seems that you've been given an exercise out of your curriculum",
"attachments": [],
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"reference": null
},
{
"id": 1062256684761878700,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:28:49",
"content": "I don’t know what a permutation is",
"attachments": [],
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"reference": null
},
{
"id": 1062256710967889900,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:28:55",
"content": "Or a factorial",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062256820359548900,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:29:21",
"content": "Watch this then\nhttps://youtu.be/Z1zdkcwosD4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062256887548092400,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:29:37",
"content": "After you finish tell me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062256933882577000,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:29:48",
"content": "??? This is for one problem why do I need to know all this shut",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062256983266304100,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:30:00",
"content": "It’s one problem I just want the answer and to move on",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257033937682400,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:30:12",
"content": "Well, I can give you the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257068666523800,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:30:20",
"content": "But you won't learn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257130570256500,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:30:35",
"content": "I'll be no better than a calculator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257211881041900,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:30:55",
"content": "Do you want an answer or do you want to learn?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257264871878800,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:31:07",
"content": "An answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257637892313100,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:32:36",
"content": "I will watch the video still",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257673791344600,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:32:45",
"content": "The answer is:\n1.5x10^18 seconds\nThat would be centruies if not millenia\nSo the program is unfeasible",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257962774696000,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:33:54",
"content": "What’s a better way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062257997646135300,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:34:02",
"content": "A better solution to the problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062258250852090000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:35:02",
"content": "Heuristics, it's not he absolute best but it's a lot better, you pick a city to start from and then go to the nearest city.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062258624430358700,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:36:31",
"content": "Do you need any further help? @Angelina",
"attachments": [],
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},
{
"id": 1062258809353023500,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/10/2023 01:37:15",
"content": "No but thanks for the help and the video",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062258888763777000,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/10/2023 01:37:34",
"content": "No problem, may I close the thread now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062259262551752700,
"author_id": 851170607755558900,
"author_name": "ℕαv",
"timestamp": "01/10/2023 01:39:04",
"content": "https://en.wikipedia.org/wiki/Travelling_salesman_problem before it's closed, related problem, might be helpful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062259346433642500,
"author_id": 851170607755558900,
"author_name": "ℕαv",
"timestamp": "01/10/2023 01:39:24",
"content": "just a recommended read, not required obviously",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062262585359081500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 01:52:16",
"content": "@Angelina Has your question been resolved?",
"attachments": [],
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{
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}
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"id": 1062266362451468300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 02:07:16",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 3cb61478037b4c3c8d8c62bfc0fdf4e3 |
200,663 | [
{
"id": 1062266616349470800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 02:08:17",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1062272474412236800,
"author_id": 800994792187101200,
"author_name": "Towelie",
"timestamp": "01/10/2023 02:31:33",
"content": "Hi I need a help with this exercise?",
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"id": 1062272478803673200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 02:31:35",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1062272474412236800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1062273023207538700,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/10/2023 02:33:44",
"content": "do u know the triangle law of vector addition",
"attachments": [],
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},
{
"id": 1062273097572556800,
"author_id": 800994792187101200,
"author_name": "Towelie",
"timestamp": "01/10/2023 02:34:02",
"content": "no never heard of it",
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"reference": null
},
{
"id": 1062273163825791000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/10/2023 02:34:18",
"content": "do u know how to add vectors",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062273282985971800,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/10/2023 02:34:46",
"content": "u keep the tail of one vector at the head of the other vector etc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062274153492795400,
"author_id": 635201191805976600,
"author_name": "rambutanw",
"timestamp": "01/10/2023 02:38:14",
"content": "hi could u help me to know how to find the final answer for the tanget equation i am trying but just i dont get the right one, thank you",
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"id": 1062274419239682000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/10/2023 02:39:17",
"content": "you must get your own channel",
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{
"id": 1062274437103243300,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/10/2023 02:39:21",
"content": "please read #❓how-to-get-help",
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},
{
"id": 1062274462097100800,
"author_id": 635201191805976600,
"author_name": "rambutanw",
"timestamp": "01/10/2023 02:39:27",
"content": "im sorryy",
"attachments": [],
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},
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"id": 1062275607666376700,
"author_id": 800994792187101200,
"author_name": "Towelie",
"timestamp": "01/10/2023 02:44:00",
"content": "@SilverSoldier So for example a vector AC = p-q",
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"author_name": "SilverSoldier",
"timestamp": "01/10/2023 02:45:56",
"content": "yes",
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"id": 1062276194164289500,
"author_id": 800994792187101200,
"author_name": "Towelie",
"timestamp": "01/10/2023 02:46:20",
"content": "ok I think I understand now",
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},
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"id": 1062276205774131300,
"author_id": 800994792187101200,
"author_name": "Towelie",
"timestamp": "01/10/2023 02:46:23",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062279981205573600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 03:01:23",
"content": "@Towelie Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 03:16:24",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 5e0019bb70f04d53b7ceb2a884181234 |
200,664 | [
{
"id": 1062284010363048100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 03:17:24",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1062285846730002400,
"author_id": 876777873283891200,
"author_name": "illogicallyLogical",
"timestamp": "01/10/2023 03:24:42",
"content": "guys is mathematician still an ideal job?",
"attachments": [],
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"reference": null
},
{
"id": 1062285849372401700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 03:24:42",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1062285846730002400,
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{
"id": 1062285887603478500,
"author_id": 876777873283891200,
"author_name": "illogicallyLogical",
"timestamp": "01/10/2023 03:24:51",
"content": "in this era of exceptional calculators?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062286217460318300,
"author_id": 913540108442042400,
"author_name": "ayushch80",
"timestamp": "01/10/2023 03:26:10",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062286288163717100,
"author_id": 876777873283891200,
"author_name": "illogicallyLogical",
"timestamp": "01/10/2023 03:26:27",
"content": "??",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062286444116320300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/10/2023 03:27:04",
"content": "I'd doubt it",
"attachments": [],
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},
{
"id": 1062286662274658300,
"author_id": 876777873283891200,
"author_name": "illogicallyLogical",
"timestamp": "01/10/2023 03:27:56",
"content": "anyone would",
"attachments": [],
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"reference": null
},
{
"id": 1062290254729580500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "01/10/2023 03:42:13",
"content": "not unless you can do the quant meme!",
"attachments": [],
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"reference": null
},
{
"id": 1062290311365271700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "01/10/2023 03:42:26",
"content": ":lmao:",
"attachments": [],
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"reference": null
},
{
"id": 1062291570759573600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 03:47:26",
"content": "@illogicallyLogical Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 876777873283891200,
"name": "illogicallyLogical",
"discriminator": "6401",
"nickname": "illogicallyLogical",
"isBot": false
}
],
"reference": null
},
{
"id": 1062295082352525400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/10/2023 04:01:24",
"content": "Don't use help channels for career advice",
"attachments": [],
"mentions": [
{
"id": 876777873283891200,
"name": "illogicallyLogical",
"discriminator": "6401",
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],
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},
{
"id": 1062295092066533400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/10/2023 04:01:26",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1062295094943826000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/10/2023 04:01:27",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 106bfb8942d14d3789dabfc9360bf5ca |
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