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"id": 956332716943609900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 19:24:47",
"content": "Available help channel!",
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"reference": null
},
{
"id": 956334251081621600,
"author_id": 361178759375749200,
"author_name": "cold",
"timestamp": "03/23/2022 19:30:53",
"content": "",
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"id": 956334253195542500,
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"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 19:30:53",
"content": "Pinned a message.",
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{
"id": 956335584568283300,
"author_id": 333544771421470700,
"author_name": "張嘉棋",
"timestamp": "03/23/2022 19:36:11",
"content": "sin^2(x)+cos^2(x)=1",
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},
{
"id": 956335595217641500,
"author_id": 333544771421470700,
"author_name": "張嘉棋",
"timestamp": "03/23/2022 19:36:13",
"content": "use this",
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},
{
"id": 956335773316173800,
"author_id": 333544771421470700,
"author_name": "張嘉棋",
"timestamp": "03/23/2022 19:36:56",
"content": "this is the trig identity",
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},
{
"id": 956338026852794400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 19:45:53",
"content": "@cold Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 19:46:17",
"content": "Channel closed",
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] |
help-9
|
193823f7c12a4ec09cff69819773fd59
|
199,566 |
[
{
"id": 968065325889388500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 04:25:59",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968069847311319000,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:43:57",
"content": "hihi! could i please have help with this question where u = sqrt(2x+7)? please ping me!!",
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"id": 968069848947122200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 04:43:57",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 968070056414154800,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:44:47",
"content": "i have dx as 3/ 2(2x+7) ^3/2",
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},
{
"id": 968070203663614000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:45:22",
"content": "And hence you see the sub doesn’t work",
"attachments": [],
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"reference": null
},
{
"id": 968070217215385600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:45:25",
"content": "Try another one",
"attachments": [],
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"reference": null
},
{
"id": 968070784750874600,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:47:40",
"content": "the question asks for u^2 = 2x+7 tho",
"attachments": [],
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{
"id": 968071119410196500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:49:00",
"content": "Typo then",
"attachments": [],
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"reference": null
},
{
"id": 968071238553591800,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:49:29",
"content": "i dont really understand what you mean by it doesnt work",
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"id": 968071330538848300,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:49:51",
"content": "is there something is the dx value that shouldnt be in there?",
"attachments": [],
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},
{
"id": 968071383483560100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:50:03",
"content": "You want all the x’s to go away",
"attachments": [],
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"reference": null
},
{
"id": 968071396351697000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:50:06",
"content": "Does that happen?",
"attachments": [],
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"reference": null
},
{
"id": 968071661670789100,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:51:10",
"content": "aa so following this logic, i can do x = (u^2- 7)/2 and just sub x into the dx value?",
"attachments": [],
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{
"id": 968071696106008600,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:51:18",
"content": "so that the dx value can work",
"attachments": [],
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},
{
"id": 968071750430650400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:51:31",
"content": "What",
"attachments": [],
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"reference": null
},
{
"id": 968071766461255700,
"author_id": 933093111649935400,
"author_name": "gambs",
"timestamp": "04/25/2022 04:51:35",
"content": "Oh, when is the next time i could ask?",
"attachments": [],
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"reference": null
},
{
"id": 968071816352501800,
"author_id": 933093111649935400,
"author_name": "gambs",
"timestamp": "04/25/2022 04:51:46",
"content": "Sorry for interrupting",
"attachments": [],
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"reference": null
},
{
"id": 968071820311941100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:51:47",
"content": "#❓how-to-get-help",
"attachments": [],
"mentions": [
{
"id": 933093111649935400,
"name": "gambs",
"discriminator": "3772",
"nickname": "gambs",
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{
"id": 968071863379050500,
"author_id": 933093111649935400,
"author_name": "gambs",
"timestamp": "04/25/2022 04:51:58",
"content": "Thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968071877035696100,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:52:01",
"content": "aa #help-21 and #help-40 are free at the moment",
"attachments": [],
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{
"id": 968071927396696000,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:52:13",
"content": "since u^ = 2x-7",
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},
{
"id": 968072044904337400,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:52:41",
"content": "i can rearrange it so that x is in terms of u^2 right?",
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},
{
"id": 968072292548624400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:53:40",
"content": "Again, what?",
"attachments": [],
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"reference": null
},
{
"id": 968072358386597900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 04:53:56",
"content": "Do u=2x+7 and it actually works",
"attachments": [],
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"reference": null
},
{
"id": 968072614805381100,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:54:57",
"content": "okok thanks for your help!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968073337366528000,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:57:49",
"content": "@waler hihi! sorry for the ping, but is there any chance you could have a look at this question-",
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{
"id": 968073409743425500,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 04:58:06",
"content": ":sad:",
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},
{
"id": 968075384555982800,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 05:05:57",
"content": "aa i figured it out",
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},
{
"id": 968075389572370400,
"author_id": 697121282273050600,
"author_name": "yukiboki",
"timestamp": "04/25/2022 05:05:58",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 968075391489175600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 05:05:59",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
6fb56f8f573245a4a95d86d1d12214a4
|
199,567 |
[
{
"id": 968075646020501500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 05:06:59",
"content": "Available help channel!",
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"reference": null
},
{
"id": 968077702370316400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/25/2022 05:15:10",
"content": "The part of the surface of revolution x²+y²=2az (a>0) that lies inside the cylinder (x²+y²)²=a²(x²-y²). 'The part of the surface of revolution' is confusing, it's not about revolution bust just a normal surface integral.",
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},
{
"id": 968077704345833500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 05:15:10",
"content": "Pinned a message.",
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{
"id": 968077734456750100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/25/2022 05:15:17",
"content": "how to find boundaies",
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},
{
"id": 968081512815816700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 05:30:18",
"content": "@Gooaaa Has your question been resolved?",
"attachments": [],
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{
"id": 968083146966982700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/25/2022 05:36:48",
"content": "would parameterizaton be (rcostheta,rsintheta,r²/2a)?",
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},
{
"id": 968090697846628400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 06:06:48",
"content": "@Gooaaa Has your question been resolved?",
"attachments": [],
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"id": 968105062800969900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/25/2022 07:03:53",
"content": ".close",
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"reference": null
},
{
"id": 968105064180891600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 07:03:53",
"content": "Channel closed",
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}
] |
help-9
|
ad8f1bee533540f1b96c44ad45d3908c
|
199,568 |
[
{
"id": 968105317864976400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 07:04:54",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 968109142248149100,
"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "04/25/2022 07:20:06",
"content": "Let $f: \\mathbb{R} \\rightarrow \\mathbb{R}$ ,$f(a,b,c)=3(abc+b+2c)-2(ab+2ac+3bc) $, find the minimum falue of $f$ on constraint $a,b,c \\geq 3$",
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},
{
"id": 968109144345301000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 07:20:06",
"content": "Pinned a message.",
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"timestamp": "04/25/2022 07:20:08",
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"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "04/25/2022 07:21:58",
"content": "how we do this with calculus",
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},
{
"id": 968111444472266800,
"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "04/25/2022 07:29:15",
"content": "aren't the dimensions of the function wrong ?",
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},
{
"id": 968112580990226400,
"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "04/25/2022 07:33:45",
"content": "wdym",
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},
{
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/25/2022 07:34:58",
"content": "He means you need to write f:R^3–>R not R->R",
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"id": 968113062546645000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/25/2022 07:35:40",
"content": "Anyway, we probably begin by finding (a,b,c) such that partial f over partial x or y or z equals zero at (a,b,c) then consider the Hesse matrix",
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"id": 968113670351630300,
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"author_name": "Hyl1s",
"timestamp": "04/25/2022 07:38:05",
"content": "Oh I get it, my bad",
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},
{
"id": 968114080030277600,
"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "04/25/2022 07:39:43",
"content": "I already done the first part and I got $$f_a=3bc-2b-4c $$ \\\\ $$f_b=3ca-2a-6c+3 $$ \\\\ $$ f_c=3ac-4a-6b+6$$",
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"author_name": "TeXit",
"timestamp": "04/25/2022 07:40:05",
"content": "",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/25/2022 07:40:14",
"content": "Yeah I got the same thing but it’s hard to solve. So I probably get to the wrong end",
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"id": 968115196361048000,
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"author_name": "Hyl1s",
"timestamp": "04/25/2022 07:44:09",
"content": "by wolfram these functions equals to 0 for some a,b,c <3 thats why I am confused",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/25/2022 07:50:28",
"content": "So what is the original question? Or you added a,b,c>=3?",
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"author_name": "Hyl1s",
"timestamp": "04/25/2022 07:51:36",
"content": "the original question is proving $3(abc+b+2c) \\geq 2(ab+2ac+3bc)$ which is the same thing as proving minimum value of f is 0",
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"author_id": 510789298321096700,
"author_name": "TeXit",
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"author_name": "Hyl1s",
"timestamp": "04/25/2022 07:51:48",
"content": "with a,b,c >=3",
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},
{
"id": 968117884188504000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/25/2022 07:54:50",
"content": "I see",
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},
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/25/2022 08:03:06",
"content": "Tried, can’t solve it. Waiting for someone else to help",
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},
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"id": 968121223013888000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 08:08:06",
"content": "@Hyl1s Has your question been resolved?",
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"author_name": "Hyl1s",
"timestamp": "04/25/2022 08:09:04",
"content": "Now i see that substuting 3a=x 3b=y 3c=z helps",
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"timestamp": "04/25/2022 08:09:27",
"content": "and the constraint becomes all x,y,z nonnegative integers",
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"timestamp": "04/25/2022 08:09:41",
"content": ".close",
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},
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"id": 968121624723349500,
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"content": "Channel closed",
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] |
help-9
|
a3e4d4675271440f996e4a5040fabdb9
|
199,569 |
[
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"content": "Available help channel!",
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"id": 968124035684786300,
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"author_name": "angii",
"timestamp": "04/25/2022 08:19:16",
"content": "how do i get the class mark?",
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"content": "Pinned a message.",
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"id": 968127793630179300,
"author_id": 731901817105154000,
"author_name": "angii",
"timestamp": "04/25/2022 08:34:12",
"content": "@Helpers",
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{
"id": 968128519236358100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 08:37:05",
"content": "You need to check stuff you have done earlier",
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{
"id": 968128556477603800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 08:37:14",
"content": "X_m doesn’t mean anything on its own",
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"id": 968128638228783100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/25/2022 08:37:34",
"content": "So need to recheck book/prev excercises",
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"timestamp": "04/25/2022 08:39:17",
"content": "alr alr lemme recheck it rq",
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"timestamp": "04/25/2022 08:54:17",
"content": "@angii Has your question been resolved?",
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] |
help-9
|
ae521ad01f184008a13c008fcb038381
|
199,570 |
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"content": "Available help channel!",
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"id": 968133486374424600,
"author_id": 345937126535331840,
"author_name": "Ben12",
"timestamp": "04/25/2022 08:56:50",
"content": "You have 4 ft of wire and have to maximize the area. You can use the wire for either a circle or a combination of the 2. How much should you use for each?\n\nI think I have found the amount of wire you would use for the min area but how would you find the max?",
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"author_name": "Swas.py",
"timestamp": "04/25/2022 09:11:28",
"content": "I think you found the maximum",
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"content": "The answer says you would use all 4 ft for the circle and none for the square. If you plug that radius in to the perimeter equation you get 1.75",
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"timestamp": "04/25/2022 09:14:48",
"content": "\"that\" radius which?",
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"timestamp": "04/25/2022 09:14:54",
"content": "the one you found?",
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"timestamp": "04/25/2022 09:15:12",
"content": "Yea",
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"content": "@Ben12 Has your question been resolved?",
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"content": "Channel closed",
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}
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help-9
|
2d23e93401794236a6e654929ee8ee2e
|
199,571 |
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"content": ".reopen",
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"content": "@Ben12 Has your question been resolved?",
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"timestamp": "04/25/2022 10:16:26",
"content": "@Helpers",
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"id": 968157910746153000,
"author_id": 673262411582537900,
"author_name": "AᵃᵏKₐₖ",
"timestamp": "04/25/2022 10:33:53",
"content": "ok so i think what u got was min yes \nu can check that my taking a second derivate and seeing if it is positive or negative \nif it is positive then its a minima \n\nso in this case taking dA/dr is giving u minima that means either of the extreme conditions will give u the maximum value \n\nso u have check for 1) all wire used to make a square 2) all wire used to make a circle \n\nwhichever i comes the highest is ur answer",
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"timestamp": "04/25/2022 10:44:07",
"content": "Ok Ty",
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"timestamp": "04/25/2022 11:40:59",
"content": ".close",
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help-9
|
d0efc62823344826ace70e489491e981
|
199,572 |
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"author_id": 358400300266291200,
"author_name": "Louie",
"timestamp": "04/25/2022 11:55:15",
"content": "Can someone help me solve this problem with eulers method? I know how to do eulers with one equation but am unfamiliar with how to apply it to a coupled system of equations",
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"content": "@Louie Has your question been resolved?",
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"content": "@Louie Has your question been resolved?",
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"content": "@Louie Has your question been resolved?",
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"content": "@Louie Has your question been resolved?",
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help-9
|
1cff6b67076a4aac9fde7a2e36017b82
|
199,573 |
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"id": 968241425890279600,
"author_id": 261933205387477000,
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"timestamp": "04/25/2022 16:05:44",
"content": "weird problem",
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"timestamp": "04/25/2022 16:05:54",
"content": "you can get a conclusion using alternating series test",
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"author_name": "riemann",
"timestamp": "04/25/2022 16:06:06",
"content": "oh is it telling you to conclude something about the integral?",
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"author_id": 397957213060071400,
"author_name": "gavrrrriii",
"timestamp": "04/25/2022 16:06:30",
"content": "whether of not the test can be used",
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"id": 968241626784882700,
"author_id": 397957213060071400,
"author_name": "gavrrrriii",
"timestamp": "04/25/2022 16:06:32",
"content": "integral",
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"id": 968242557630939100,
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"author_name": "gavrrrriii",
"timestamp": "04/25/2022 16:10:14",
"content": "so i think to pass the criteria a function had to be positive, continous and decreasing",
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"timestamp": "04/25/2022 16:12:11",
"content": "i dont understand why the function how the function is continous if you cant put 0 on the denominator",
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"timestamp": "04/25/2022 16:16:52",
"content": "nvm got it",
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"timestamp": "04/25/2022 16:16:53",
"content": ".close",
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"timestamp": "04/25/2022 16:16:54",
"content": "Channel closed",
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}
] |
help-9
|
a58a92123b7a4458ae6f428f6793b1e4
|
199,574 |
[
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"timestamp": "04/25/2022 16:17:55",
"content": "Available help channel!",
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},
{
"id": 968245133877334000,
"author_id": 776823325066002400,
"author_name": "harshit",
"timestamp": "04/25/2022 16:20:29",
"content": "Hello",
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},
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"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 16:20:29",
"content": "Pinned a message.",
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"id": 968245145835298800,
"author_id": 776823325066002400,
"author_name": "harshit",
"timestamp": "04/25/2022 16:20:31",
"content": "Youre given 100 tapes, out of them 25 are defective. Now 10 tapes are chosen at random, find the prob that 2 are defective out of them.",
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},
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"id": 968245202873626800,
"author_id": 776823325066002400,
"author_name": "harshit",
"timestamp": "04/25/2022 16:20:45",
"content": "Isnt the answer: (75C8×25C2)/100C10?",
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"id": 968245258519474200,
"author_id": 776823325066002400,
"author_name": "harshit",
"timestamp": "04/25/2022 16:20:58",
"content": "But it feels wrong too, coz here we seem to be assuming that every combination has the same probability, isnt it?",
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},
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"timestamp": "04/25/2022 16:35:58",
"content": "@harshit Has your question been resolved?",
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"timestamp": "04/25/2022 16:38:50",
"content": "@Helpers",
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"id": 968250025534689300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/25/2022 16:39:55",
"content": "convince yourself that every combination has the same probability",
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"timestamp": "04/25/2022 17:08:50",
"content": "@harshit Has your question been resolved?",
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"timestamp": "04/25/2022 17:38:51",
"content": "Channel closed",
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}
] |
help-9
|
b5069f5435794147933ca1feb22ce25a
|
199,575 |
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"id": 968295830723375100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 19:41:56",
"content": "Available help channel!",
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},
{
"id": 968301180340015100,
"author_id": 768545791953469400,
"author_name": "sami",
"timestamp": "04/25/2022 20:03:11",
"content": "hii",
"attachments": [],
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},
{
"id": 968301182697214000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 20:03:12",
"content": "Pinned a message.",
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"timestamp": "04/25/2022 20:10:05",
"content": ".",
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},
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"id": 968302915817205900,
"author_id": 768545791953469400,
"author_name": "sami",
"timestamp": "04/25/2022 20:10:05",
"content": ".",
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"id": 968302982158516200,
"author_id": 768545791953469400,
"author_name": "sami",
"timestamp": "04/25/2022 20:10:21",
"content": "nvm",
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},
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"id": 968303001624264700,
"author_id": 768545791953469400,
"author_name": "sami",
"timestamp": "04/25/2022 20:10:25",
"content": ".close",
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},
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"id": 968303003239071900,
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"content": "Channel closed",
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}
] |
help-9
|
8268a84a91b54db8a3ad8c3d66c8f3fc
|
199,576 |
[
{
"id": 956338382877892600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 19:47:18",
"content": "Available help channel!",
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},
{
"id": 956339390613950500,
"author_id": 473605151857573900,
"author_name": "cali5nia",
"timestamp": "03/23/2022 19:51:18",
"content": "",
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"timestamp": "03/23/2022 19:51:19",
"content": "Pinned a message.",
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},
{
"id": 956339451678851100,
"author_id": 473605151857573900,
"author_name": "cali5nia",
"timestamp": "03/23/2022 19:51:33",
"content": "I'm confused how they got to *",
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},
{
"id": 956339507777646600,
"author_id": 473605151857573900,
"author_name": "cali5nia",
"timestamp": "03/23/2022 19:51:46",
"content": "I might be missing something obvious",
"attachments": [],
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},
{
"id": 956341256315883600,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/23/2022 19:58:43",
"content": "@cali5nia $\\tau_k$ is a specific point (ie independent of the variable $t$), so the integral is equivalent to \n$$\\gamma'(\\tau_k) \\int_{t_{k-1}}^{t_k} \\dd{t} = \\gamma'(\\tau_k) \\qty[t_k - t_{k-1}]$$",
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"id": 956341819543814300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/23/2022 20:00:57",
"content": "**Navix**",
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"id": 956342940899377300,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/23/2022 20:05:25",
"content": "then the next step after * is just the triangle inequality",
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},
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"timestamp": "03/23/2022 20:10:25",
"content": "@cali5nia Has your question been resolved?",
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"timestamp": "03/23/2022 20:11:39",
"content": "Channel closed",
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}
] |
help-9
|
5086b34339aa49a9845e8063c8775a60
|
199,577 |
[
{
"id": 968303706577707100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 20:13:13",
"content": "Available help channel!",
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},
{
"id": 968303817521246300,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:13:40",
"content": "Hi, I need help with a practice question I’m doing. I’m not sure how to get the answer they want",
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},
{
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"content": "Pinned a message.",
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"id": 968303920805974000,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:14:04",
"content": "This is what I have done for B",
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{
"id": 968304010601840600,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:14:26",
"content": "However the answer they want is -3y^49",
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},
{
"id": 968304035247575000,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:14:32",
"content": "But I’m not sure how to turn what I have into that",
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},
{
"id": 968306653403447300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "04/25/2022 20:24:56",
"content": "sorry, I meant to say, \"Why don't you start by showing the question, @kyra \"",
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"id": 968307144434790400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "04/25/2022 20:26:53",
"content": "there's no instructions in your picture",
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},
{
"id": 968307196918132700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "04/25/2022 20:27:06",
"content": "they are probably asking you to factor",
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},
{
"id": 968307218392973400,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:27:11",
"content": "There aren’t any of the page I’m working on",
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},
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"id": 968307250336768100,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:27:18",
"content": "It’s just questions",
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"id": 968307295052263400,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:27:29",
"content": "I believe they just want me to simplify/factor though",
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},
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"id": 968307477772927000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "04/25/2022 20:28:12",
"content": "So you were given an assignment with just \"a) expression b) expression\" on it?",
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},
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"id": 968307494277488800,
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"author_name": "kyra",
"timestamp": "04/25/2022 20:28:16",
"content": "Yup",
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},
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"id": 968307726562263000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "04/25/2022 20:29:12",
"content": "well, good luck with that",
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},
{
"id": 968307910876725200,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:29:56",
"content": "I just need to figure out how to turn the -3 part I have into what they’re looking for",
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},
{
"id": 968307943487459300,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:30:04",
"content": "But I don’t get how they did it",
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},
{
"id": 968308436901191800,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:32:01",
"content": "@Helpers",
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},
{
"id": 968312212961759400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 20:47:01",
"content": "@kyra Has your question been resolved?",
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{
"id": 968312730220122200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/25/2022 20:49:05",
"content": "notice that $\\sqrt{y^{99}} = \\sqrt{y^{98}\\cdot y} = y^{49}\\cdot \\sqrt{y}$",
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},
{
"id": 968312783361957900,
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"author_name": "TeXit",
"timestamp": "04/25/2022 20:49:17",
"content": "**iCaird**",
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"id": 968313558167339000,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:52:22",
"content": "Oh what",
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},
{
"id": 968313606838042600,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:52:34",
"content": "I would’ve never thought to do that?",
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},
{
"id": 968314149681643500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/25/2022 20:54:43",
"content": "That's why it's homework",
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},
{
"id": 968314182342676600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/25/2022 20:54:51",
"content": "So you'll remember for exams",
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},
{
"id": 968314213305028700,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:54:58",
"content": "I didn’t know you could do that",
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},
{
"id": 968314373426794600,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:55:37",
"content": "Well thank you",
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},
{
"id": 968314964345503700,
"author_id": 718272102284787700,
"author_name": "kyra",
"timestamp": "04/25/2022 20:57:57",
"content": ".close",
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},
{
"id": 968314965683470500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 20:57:58",
"content": "Channel closed",
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}
] |
help-9
|
c637e9c373d84cba933cc36b0c7ba65d
|
199,578 |
[
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"timestamp": "04/25/2022 20:58:58",
"content": "Available help channel!",
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},
{
"id": 968318420770750500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/25/2022 21:11:41",
"content": "https://gyazo.com/3cae9fb76974e5f8ee789fd2d35e5c8e\n\nCan I get help with this?",
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},
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"id": 968318424818266200,
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"content": "Pinned a message.",
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"timestamp": "04/25/2022 21:11:48",
"content": "pumping lemma for CFL",
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"timestamp": "04/25/2022 21:14:38",
"content": "If you don’t get an answer here, try #numerical-analysis @Deleted User",
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"content": "ok",
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"content": "@Deleted User Has your question been resolved?",
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"content": "@Deleted User Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
d5595d5ae3a0486693b18f5b5ba0411b
|
199,579 |
[
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"content": "Available help channel!",
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"id": 968350599194222600,
"author_id": 820494878609899500,
"author_name": "cityana",
"timestamp": "04/25/2022 23:19:33",
"content": "Anyone know the correct answers to this?",
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"timestamp": "04/25/2022 23:26:48",
"content": "First one",
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"timestamp": "04/25/2022 23:27:20",
"content": "But theres not",
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"content": "The probability of getting 10 good tapes is not equal to the probability of getting 8 fine tapes and 2 defective",
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"content": "@cityana Has your question been resolved?",
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help-9
|
54d00359ade94710a5ae68773558b5d1
|
199,580 |
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"id": 968358953027260400,
"author_id": 255010352889200640,
"author_name": "lisu",
"timestamp": "04/25/2022 23:52:45",
"content": "can someone explain b and c?",
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"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/25/2022 23:55:18",
"content": "what does range mean",
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"id": 968359867700113400,
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"author_name": "lisu",
"timestamp": "04/25/2022 23:56:23",
"content": "pretty sure its the list of possible values",
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"content": "or i think",
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"id": 968359992501604400,
"author_id": 872024354572103700,
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"timestamp": "04/25/2022 23:56:53",
"content": "eh",
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"id": 968360091264909300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/25/2022 23:57:17",
"content": "need to know what you're being asked for if you want to know how to answer it",
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"id": 968360228066308100,
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"author_name": "lisu",
"timestamp": "04/25/2022 23:57:49",
"content": "do you know how to do it?",
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"id": 968360283485667300,
"author_id": 872024354572103700,
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"timestamp": "04/25/2022 23:58:02",
"content": "ofc",
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"id": 968360365312315400,
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"timestamp": "04/25/2022 23:58:22",
"content": "can you explain it?",
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"id": 968360520908415000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/25/2022 23:58:59",
"content": "Firstly, What does range mean",
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"id": 968360541422768100,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/25/2022 23:59:04",
"content": "What's your definition for range",
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"id": 968360617494851600,
"author_id": 255010352889200640,
"author_name": "lisu",
"timestamp": "04/25/2022 23:59:22",
"content": "the list of possible values?",
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"id": 968360856851185700,
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"author_name": "lisu",
"timestamp": "04/26/2022 00:00:19",
"content": "or the highest- the lowest",
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"id": 968360920009019400,
"author_id": 872024354572103700,
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"timestamp": "04/26/2022 00:00:34",
"content": "It's the range of possible output values for your function",
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"id": 968361059184418800,
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"author_name": "lisu",
"timestamp": "04/26/2022 00:01:07",
"content": "k",
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"id": 968361089555382300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/26/2022 00:01:15",
"content": "b: clearly [1,7] do it yourself \nc: g(f(x))=7 iff 3sin(f(x))=3 iff f(x)=π/2+2kπ iff 2x+π/5=π/2+2kπ iff x=3π/20+kπ. Now you can let k=1 because the value given in the question is when k=0",
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"id": 968361360314466300,
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"timestamp": "04/26/2022 00:02:19",
"content": "what do you mean by 1,7",
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"timestamp": "04/26/2022 00:02:47",
"content": "?",
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"timestamp": "04/26/2022 00:03:03",
"content": "[a,b]={x from R: a<=x<=b}",
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"id": 968361601801547900,
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"timestamp": "04/26/2022 00:03:17",
"content": "oh",
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"id": 968361632692568000,
"author_id": 255010352889200640,
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"timestamp": "04/26/2022 00:03:24",
"content": "havent seen that way of display",
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"id": 968361830265278500,
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"author_name": "lisu",
"timestamp": "04/26/2022 00:04:11",
"content": "OHHHH",
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"id": 968361938155343900,
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"timestamp": "04/26/2022 00:04:37",
"content": "is it +/- 1 x 3 +4",
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"timestamp": "04/26/2022 00:05:21",
"content": "Yeah",
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"timestamp": "04/26/2022 00:09:09",
"content": ".close",
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help-9
|
4cc713feb32f41f787f82d87eead7e60
|
199,581 |
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"id": 968363976960385000,
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"author_name": "kyen",
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"content": "o wait",
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help-9
|
1c8fcf7e6aea4f6396518d32766ce7d5
|
199,582 |
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"id": 968406468892184600,
"author_id": 801619987520684000,
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"timestamp": "04/26/2022 03:01:34",
"content": "i gotta submit this hw soon someone helppp",
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"id": 968406595136553000,
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"timestamp": "04/26/2022 03:02:40",
"content": "yes srry but i rlly need help",
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"content": "i need to submit it in 10 mins",
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"timestamp": "04/26/2022 03:02:58",
"content": "on which question",
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"author_id": 801619987520684000,
"author_name": "Hiron",
"timestamp": "04/26/2022 03:04:32",
"content": "quicj pls someone help",
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},
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"id": 968407234361040900,
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"timestamp": "04/26/2022 03:04:36",
"content": "*quick",
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"id": 968407999850901500,
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"timestamp": "04/26/2022 03:07:39",
"content": "can someone help me",
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"id": 968408232945131500,
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"author_name": "Gooaaa",
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"content": "first",
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"content": "(base*height) /2",
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"id": 968408671535104000,
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"timestamp": "04/26/2022 03:10:19",
"content": "i solved number 1",
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"id": 968408695786602500,
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"timestamp": "04/26/2022 03:10:25",
"content": "but i need help with others",
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 03:14:53",
"content": "@Hiron Do it here",
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 03:15:09",
"content": "what did you do for question 2",
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"timestamp": "04/26/2022 03:15:17",
"content": "did you try anything?",
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"timestamp": "04/26/2022 03:25:25",
"content": "@Hiron Has your question been resolved?",
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"timestamp": "04/26/2022 03:28:20",
"content": "Channel closed",
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}
] |
help-9
|
88e0f1e839db406a8b512950d7cb0aaa
|
199,583 |
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"id": 968413459597393900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 03:29:21",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 968416673902260200,
"author_id": 669767349074788400,
"author_name": "Mayefish",
"timestamp": "04/26/2022 03:42:07",
"content": "A rock is thrown vertically upward with speed v from the edge of the cliff. A second \nrock is thrown vertically downward with the same initial speed. Which rock has the greater speed when it reaches the bottom of the cliff? Ignore air resistance.\nYou sent\n7. A body decelerates into 4.5 m/s2 which was moving 40 m/s to at the start of 6 sec. a) What is its final velocity? \nb) What is its average velocity? \nc) How far did the body go? \n8. A stone fall from the top of a building. (Use FPS) \na) How far does it fall during the first 2 seconds? \nb) What is the speed after 2 seconds? \nc) How far does it fall during the intervals from 2 sec to 4 sec?",
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"id": 968416675819028500,
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"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 03:42:07",
"content": "Pinned a message.",
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"author_id": 669767349074788400,
"author_name": "Mayefish",
"timestamp": "04/26/2022 03:42:23",
"content": "Good Day, i badly need help for this",
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"reference": null
},
{
"id": 968417638818652200,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 03:45:57",
"content": "for the rock problem",
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 03:46:18",
"content": "try expressing the velocities/speeds in terms of v and g",
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},
{
"id": 968418415746383900,
"author_id": 669767349074788400,
"author_name": "Mayefish",
"timestamp": "04/26/2022 03:49:02",
"content": "okay,i understand now the essay about rock. thanks for that. how about the solving part?",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 04:04:03",
"content": "@Mayefish Has your question been resolved?",
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{
"id": 968423077786558500,
"author_id": 669767349074788400,
"author_name": "Mayefish",
"timestamp": "04/26/2022 04:07:34",
"content": "hello",
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},
{
"id": 968423088775635100,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:07:36",
"content": "hi",
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},
{
"id": 968423137987403800,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:07:48",
"content": "for the rock vertically upward",
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},
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"id": 968423227837784000,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:08:09",
"content": "final speed = v - gt",
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},
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:08:20",
"content": "and for the rock going downward",
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},
{
"id": 968423325665734700,
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:08:33",
"content": "what is the final speed? @Mayefish",
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"id": 968423525893414900,
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"author_name": "Mayefish",
"timestamp": "04/26/2022 04:09:21",
"content": "i believe that if we both consider the gravity rock thrown vertically downward has greater speed.",
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},
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"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:10:17",
"content": "yep",
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},
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"id": 968423776050098200,
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:10:20",
"content": "correct!",
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},
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"author_id": 669767349074788400,
"author_name": "Mayefish",
"timestamp": "04/26/2022 04:10:48",
"content": "sorry for confusing you but that part is an essay and i am only confused with the solving part which are the 7 and 8 question",
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},
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:10:56",
"content": "sure",
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},
{
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"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:11:00",
"content": "for q7",
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},
{
"id": 968423954723242000,
"author_id": 669767349074788400,
"author_name": "Mayefish",
"timestamp": "04/26/2022 04:11:03",
"content": "i literally have no idea on how to solve it",
"attachments": [],
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},
{
"id": 968423962411425800,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:11:05",
"content": "(a)",
"attachments": [],
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},
{
"id": 968424027985174500,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:11:20",
"content": "do you have the formulas for suvat",
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},
{
"id": 968424118498242600,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:11:42",
"content": "or do you know them",
"attachments": [],
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},
{
"id": 968424324140777500,
"author_id": 669767349074788400,
"author_name": "Mayefish",
"timestamp": "04/26/2022 04:12:31",
"content": "i don't have, my professor did'nt gave any. they just slide those papers for us to answer it",
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},
{
"id": 968424774990712800,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:14:18",
"content": "but do you know the relationship between initial velocity and final velocity",
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},
{
"id": 968424984013856800,
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"author_name": "Mayefish",
"timestamp": "04/26/2022 04:15:08",
"content": "no. that's why im here seeking for a wider explaination for me to present also this report 😦",
"attachments": [],
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},
{
"id": 968425396343287800,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:16:46",
"content": "well there are formulas for the relationships between each other",
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},
{
"id": 968425548223230000,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:17:23",
"content": "in short",
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"id": 968425617039179800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/26/2022 04:17:39",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/968425616447766548/unnamed_2.png",
"fileName": "unnamed_2.png",
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"id": 968425624014311400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/26/2022 04:17:41",
"content": "lol",
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},
{
"id": 968425788930142200,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:18:20",
"content": "same but different",
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/26/2022 04:18:30",
"content": "for 7a u know time, initial velocity and (de)acceleration",
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"id": 968425846153019400,
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:18:34",
"content": "in terms of notation",
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 04:18:39",
"content": "yep",
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"author_name": "Gooaaa",
"timestamp": "04/26/2022 04:18:52",
"content": "v is final speed and u or v0 is initial",
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"author_name": "Gooaaa",
"timestamp": "04/26/2022 04:19:02",
"content": "which formula would u use",
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"author_name": "Mayefish",
"timestamp": "04/26/2022 04:26:15",
"content": "i dont knoq",
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},
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"author_id": 669767349074788400,
"author_name": "Mayefish",
"timestamp": "04/26/2022 04:26:34",
"content": "can you guys help me figure it out",
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"id": 968428551240036400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/26/2022 04:29:19",
"content": "would you use 2nd formula",
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"author_name": "Mayefish",
"timestamp": "04/26/2022 04:29:40",
"content": "okay ill try and ill send it here for you to check",
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},
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"id": 968435295286607900,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/26/2022 04:56:07",
"content": "just a q, shouldn't the speeds be equal? by energy conservation",
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 05:01:08",
"content": "not really",
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},
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 05:01:22",
"content": "cause there is a accleration g",
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"id": 968436896692854800,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/26/2022 05:02:28",
"content": "yeah even then",
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},
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"id": 968436947842379800,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/26/2022 05:02:41",
"content": "potential energy conservation too",
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},
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"id": 968437079434473500,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/26/2022 05:03:12",
"content": "in fact even with all the calculations i believe u get the same result that velocities equal",
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},
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"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 05:13:12",
"content": "@Mayefish Has your question been resolved?",
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"id": 968439655378845700,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "04/26/2022 05:13:26",
"content": "yes they will hit the ground at equal velocity like newbienoob said, because of energy conversion",
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"id": 968439896907845600,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "04/26/2022 05:14:24",
"content": "and the exercise can be done more easily using energy instead of considering velocities and displacements, but i supposed that's what the exercise is trying to achieve",
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"id": 968440272117723100,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/26/2022 05:15:53",
"content": "prolly the mistake made was to consider g as constant both in magnitude and direction",
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"author_name": "newbienoob",
"timestamp": "04/26/2022 05:16:11",
"content": "but it changes in direction in the case of the rock thrown up",
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},
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 05:19:04",
"content": "oh yea",
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},
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/26/2022 05:19:07",
"content": "sorry",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 05:43:13",
"content": "Channel closed",
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}
] |
help-9
|
d6593ea46afe49f0802420b299341ef2
|
199,584 |
[
{
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"timestamp": "04/26/2022 05:44:13",
"content": "Available help channel!",
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},
{
"id": 968453756494676000,
"author_id": 274458431979651070,
"author_name": "shawnkoh",
"timestamp": "04/26/2022 06:09:28",
"content": "is there a difference in the symbols ≽ and ≥ in partial order?",
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},
{
"id": 968453758533111800,
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"timestamp": "04/26/2022 06:09:29",
"content": "Pinned a message.",
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"author_id": 274458431979651070,
"author_name": "shawnkoh",
"timestamp": "04/26/2022 06:10:00",
"content": "what is the difference?",
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},
{
"id": 968454630184988700,
"author_id": 274458431979651070,
"author_name": "shawnkoh",
"timestamp": "04/26/2022 06:12:56",
"content": "can you give an example?",
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"timestamp": "04/26/2022 06:27:57",
"content": "@shawnkoh Has your question been resolved?",
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"timestamp": "04/26/2022 06:59:37",
"content": "@shawnkoh Has your question been resolved?",
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"timestamp": "04/26/2022 07:59:44",
"content": "@shawnkoh Has your question been resolved?",
"attachments": [],
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{
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"id": 968496606972375000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 08:59:44",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
568da98d391240e3bda9ac09839aa7ce
|
199,585 |
[
{
"id": 968496859851141200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 09:00:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968499309609877600,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:10:29",
"content": "A=(x-2)²-(3x-6)(2x+5)+x²-4 and B=9(2x-3)²-4(5x+3)²",
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},
{
"id": 968499312134848500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 09:10:29",
"content": "Pinned a message.",
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"id": 968499487645532200,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:11:11",
"content": "I have to turn these into products",
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},
{
"id": 968499552111972400,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:11:27",
"content": "But I don't know exactly how...",
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},
{
"id": 968500041717252100,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "04/26/2022 09:13:23",
"content": "expand",
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},
{
"id": 968500292901568500,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:14:23",
"content": "Like (x-2)²= x²-4x+4 ?",
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},
{
"id": 968500448145330200,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:15:00",
"content": "And x²-4=x²-2²=(x-2)(x+2)?",
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},
{
"id": 968500507033354400,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:15:14",
"content": "For the first one",
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},
{
"id": 968500826450559000,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:16:30",
"content": "Can anybody help me?",
"attachments": [],
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"reference": null
},
{
"id": 968501163379028100,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "04/26/2022 09:17:51",
"content": "this isn't expansion",
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"id": 968501213555482600,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "04/26/2022 09:18:03",
"content": "you don't need to do anything with the x^2-4",
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},
{
"id": 968501357076156400,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:18:37",
"content": "Oh",
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},
{
"id": 968501486394953700,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:19:08",
"content": "English isn't my native language so can you give me an example of expansion?",
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},
{
"id": 968502089141588100,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:21:31",
"content": "@R31_",
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"id": 968502365168746500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:22:37",
"content": "This is an example of expansion",
"attachments": [],
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},
{
"id": 968502549541961700,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:23:21",
"content": "So how should I continue?",
"attachments": [],
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},
{
"id": 968502790123044900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:24:19",
"content": "Do the same for $(3x-6)(2x+5)$",
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},
{
"id": 968502799803514900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/26/2022 09:24:21",
"content": "**iCaird**",
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"id": 968502901469216800,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:24:45",
"content": "With factorization?",
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},
{
"id": 968503125788983300,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:25:39",
"content": "Or with distributive property?",
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},
{
"id": 968503234446651400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:26:05",
"content": "Distributive",
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},
{
"id": 968504629228875900,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:31:37",
"content": "I got -4x²-7x+30",
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},
{
"id": 968504973170184200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:32:59",
"content": "Not you need to factor that into a product",
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},
{
"id": 968505395880534000,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:34:40",
"content": "Should I turn -7x into -4x-3x ?",
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},
{
"id": 968505610108805100,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:35:31",
"content": "So that I can factor -4x² with -4x and -3x with 30?",
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},
{
"id": 968505743059865600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:36:03",
"content": "That won't quite work, nearly though",
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},
{
"id": 968505865789386900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:36:32",
"content": "For that method you need to split the -7x into two terms that multiply to -4*30 = -120",
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},
{
"id": 968506200461303800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:37:52",
"content": "Like this",
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},
{
"id": 968506216554823700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:37:56",
"content": "",
"attachments": [
{
"id": 968506215657271400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/968506215657271376/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 59282
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},
{
"id": 968507066832531600,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:41:18",
"content": "8*15?",
"attachments": [],
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"reference": null
},
{
"id": 968507635705987100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:43:34",
"content": "Yep nice!",
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},
{
"id": 968507761593831400,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:44:04",
"content": "So -4x²-8x-15x+30?",
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},
{
"id": 968507788059877400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:44:10",
"content": "Indeed",
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"mentions": [],
"reference": null
},
{
"id": 968507820985159700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:44:18",
"content": "Then follow the steps in the picture I sent",
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},
{
"id": 968507939088388100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:44:46",
"content": "Wait it should be +8",
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"mentions": [],
"reference": null
},
{
"id": 968507990447632400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:44:58",
"content": "Because we need -7",
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},
{
"id": 968507995086549000,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:45:00",
"content": "Oh yeah right",
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},
{
"id": 968508028456419500,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:45:07",
"content": "I was about to ask you",
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"reference": null
},
{
"id": 968508725096771600,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:47:54",
"content": "(x-2)(-4x-15)",
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},
{
"id": 968509007427940400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:49:01",
"content": ",w expand (x-2)(-4x-15)",
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},
{
"id": 968509023441805300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/26/2022 09:49:05",
"content": "Results provided by WolframAlpha",
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},
{
"id": 968509090852655100,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:49:21",
"content": "👌🏻",
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},
{
"id": 968509141997981700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:49:33",
"content": "Nice job",
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},
{
"id": 968509144086761500,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:49:33",
"content": "Thank u so much",
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},
{
"id": 968509179792867300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:49:42",
"content": "You could pull a minus sign out of the second factor if you wanted",
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},
{
"id": 968509193650851800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:49:45",
"content": "Makes it a bit nicer",
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},
{
"id": 968509413231042600,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:50:38",
"content": "I'll do the same to B, but not rn, if I'm stuck could I tag you to help me?",
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},
{
"id": 968509546307920000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 09:51:09",
"content": "Sure, no guarantee I'll be around though, others will help you if I'm not",
"attachments": [],
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},
{
"id": 968509592894066800,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:51:20",
"content": "Alright thanks again!",
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},
{
"id": 968509642571395100,
"author_id": 734039254098903000,
"author_name": "It's Kon",
"timestamp": "04/26/2022 09:51:32",
"content": ".close",
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},
{
"id": 968509644660154500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 09:51:33",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e2c9dd398a754a77bb2936a4bd829573
|
199,586 |
[
{
"id": 968512600008691700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 10:03:17",
"content": "Available help channel!",
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},
{
"id": 968514283082236000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 10:09:59",
"content": "Pinned a message.",
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}
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{
"id": 968514424740659200,
"author_id": 485514213649809400,
"author_name": "woof",
"timestamp": "04/26/2022 10:10:32",
"content": "This question is part of the other image, but I don't understand where to start",
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},
{
"id": 968514533805142000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/26/2022 10:10:58",
"content": "Prove it by induction",
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},
{
"id": 968514609151610900,
"author_id": 485514213649809400,
"author_name": "woof",
"timestamp": "04/26/2022 10:11:16",
"content": "I'm not really sure how",
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},
{
"id": 968515194101825500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/26/2022 10:13:36",
"content": "When |z|<1/2,then \n |z^2+a|<=|z^2|+|a|=|z|^2+|a|<1/4+1/4=1/2",
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},
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"id": 968518385119936500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 10:26:17",
"content": "@woof Has your question been resolved?",
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{
"id": 968521875284197500,
"author_id": 620090148935434200,
"author_name": "idk3b2",
"timestamp": "04/26/2022 10:40:09",
"content": "don't click yes",
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},
{
"id": 968521977096704000,
"author_id": 620090148935434200,
"author_name": "idk3b2",
"timestamp": "04/26/2022 10:40:33",
"content": "your question might serve to answer those of my own coals",
"attachments": [],
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},
{
"id": 968522082671534100,
"author_id": 620090148935434200,
"author_name": "idk3b2",
"timestamp": "04/26/2022 10:40:58",
"content": "in stoking them, we might still see the fires rise",
"attachments": [],
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"reference": null
},
{
"id": 968522137428168700,
"author_id": 620090148935434200,
"author_name": "idk3b2",
"timestamp": "04/26/2022 10:41:11",
"content": "such shall always be",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968522160576536600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 10:41:17",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
3d494f15c97d40a895e820096bcb992c
|
199,587 |
[
{
"id": 956344627399651300,
"author_id": 473605151857573900,
"author_name": "cali5nia",
"timestamp": "03/23/2022 20:12:07",
"content": "Oh ok😅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956344650204061700,
"author_id": 473605151857573900,
"author_name": "cali5nia",
"timestamp": "03/23/2022 20:12:12",
"content": "Thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956344765107044500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 20:12:40",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 956345835325636600,
"author_id": 485494558088495100,
"author_name": "vo",
"timestamp": "03/23/2022 20:16:55",
"content": "Where am I going wrong",
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"reference": null
},
{
"id": 956345838572032000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 20:16:55",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 956345835325636600,
"channelId": 486844875632017400,
"guildId": null
}
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"id": 956345840887283700,
"author_id": 485494558088495100,
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"timestamp": "03/23/2022 20:16:56",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/956345837141762138/IMG_4070.jpg",
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"id": 956346015869456500,
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"author_name": "vo",
"timestamp": "03/23/2022 20:17:38",
"content": "For f btw",
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"content": "@vo Has your question been resolved?",
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] |
help-9
|
3234bd3afdb740e6b051f5fe3019603a
|
199,588 |
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"content": "How can i convert A = 1000(1+0.08)^n into another exponential function with a base of 2 so that it has the same exponential growth",
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"content": "whats the base now?",
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"content": "whats the desired base?",
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"content": "i believe its saying the base right now is either (1+0.08) OR that the base is 0.08",
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"content": "but we want a base of 2",
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help-9
|
3cd345e473274ff7bc18ce1bf244e857
|
199,589 |
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help-9
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0e47f726cf374437a6e9944626349d4e
|
199,590 |
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"content": "Assume $A \\subseteq B$. Then let x be an arbitrary element such that $x \\in A$. Therefore, $x \\in B$. Thus, since $x \\in A$ and $x \\in B$, x is in $A \\cup B$. Therefore $B \\subseteq of A \\cup B.$ Now, let $x \\in A \\cup B$. Then $x \\in A$ or $x \\in B$. Thus, since $A \\subseteq B$, $x \\in B$. Therefore, $A \\cup B \\subseteq B$. Hence $A \\cup B = B$",
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"content": "**Heavy**",
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"content": "How do I prove it the other way around now?",
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"content": "contradiction could be good",
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"content": "I assume $A \\cup B = B$. Is there any contradiction I can create from that?",
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"content": "**Heavy**",
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"content": "that's not the proper negation",
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"content": "So $\\overline{A} \\cap \\overline{B} \\neq \\overline{B}$",
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"content": "You can assume $A \\cup B = B$ and then assume $B \\subset A$ and see if you can find a contradiction",
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"content": "Okay. If I wanted to do it directly, can I assume $A \\cup B = B$ and then assume $x \\in A$",
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"content": "Yes. Now show $x \\in B$.",
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"content": "I guess what's confusing me is that",
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"content": "If I can assume $x \\in A$ then why can't I assume $x \\in B$",
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"content": "$ A \\subseteq B$ is equivalent to if $x \\in A$ then $x \\in B$",
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"content": "**1345631**",
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"content": "So to prove it you to take x in A, and prove x in B",
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"content": "<https://math.stackexchange.com/questions/194218/how-to-prove-a-subset-b-iff-a-cup-b-b>\nHere's the proof",
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"content": "Ohhhh I see sorry I forgot the definition of subset for a moment",
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"content": "It helps to think about the meaning of statements you're proving. This says that A is contained in B is equivalent to saying that their union is the bigger set",
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"content": "Youre gonna have an easier time if you assume $ B \\subset A$ and try and find a contradiction",
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"content": "I don't think so. That direction is just 3 lines [in above link] by the direct method",
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"content": "No I'm talking about the same direction you guys are",
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"content": "So can I do direct method for proving the first part of the bi conditional and then contradiction for the second?",
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"timestamp": "04/26/2022 15:15:27",
"content": "Or do I have to stay consistent",
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},
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"id": 968591222753083500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 15:15:43",
"content": "Oh I didn't see the link, fair enough",
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},
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"id": 968591270941454300,
"author_id": 964997553789755400,
"author_name": "99Overall",
"timestamp": "04/26/2022 15:15:54",
"content": "oh ok",
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"id": 968591389791248500,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "04/26/2022 15:16:22",
"content": "You can use any method. If you look at the link, both ways are simple via a direct proof [direct proof meaning not via contradiction or contraposition]",
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"timestamp": "04/26/2022 15:16:58",
"content": "ok tyvm for the help!",
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},
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"id": 968592103896645600,
"author_id": 964997553789755400,
"author_name": "99Overall",
"timestamp": "04/26/2022 15:19:13",
"content": ".close",
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},
{
"id": 968592105570177000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 15:19:13",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2decf8dda2374e27ab86629ab754ab3f
|
199,591 |
[
{
"id": 968592361108176900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 15:20:14",
"content": "Available help channel!",
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"reference": null
},
{
"id": 968596380304175100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:36:12",
"content": "how to open channel",
"attachments": [],
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},
{
"id": 968596384133550100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 15:36:13",
"content": "Pinned a message.",
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"id": 968596411660783700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 15:36:20",
"content": "good job :)",
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},
{
"id": 968596441385824300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:36:27",
"content": "wat",
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},
{
"id": 968596467881246800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 15:36:33",
"content": "you did it, i'm proud of you",
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},
{
"id": 968596489263804400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:36:38",
"content": "did what",
"attachments": [],
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},
{
"id": 968596518812647400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 15:36:45",
"content": "you opened a channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968596531085205600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:36:48",
"content": "oh thx",
"attachments": [],
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},
{
"id": 968596536944627800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:36:50",
"content": "np",
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},
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"id": 968596569387565000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:36:57",
"content": "",
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"id": 968596583061000300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:37:01",
"content": "i am confused",
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},
{
"id": 968596588542959700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:37:02",
"content": "with this",
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},
{
"id": 968596689009115300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 15:37:26",
"content": "think of it as a mirror",
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},
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"id": 968596715949154300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:37:32",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 968596737562378200,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 15:37:37",
"content": "where would you have to reflect that box to get the blue image?",
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},
{
"id": 968596833268015200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:38:00",
"content": "ohh i found out the answer",
"attachments": [],
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},
{
"id": 968596842151563400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:38:02",
"content": "it was y=1",
"attachments": [],
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},
{
"id": 968596860438716400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:38:07",
"content": "but i need help w ths",
"attachments": [],
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"reference": null
},
{
"id": 968596891837292500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:38:14",
"content": "",
"attachments": [
{
"id": 968596891271049200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/968596891271049236/unknown.png",
"fileName": "unknown.png",
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{
"id": 968597048280645600,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 15:38:51",
"content": "this one is a little bit trickier since it isn't just a vertical or horizontal line",
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},
{
"id": 968597086977294300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:39:01",
"content": "yep",
"attachments": [],
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},
{
"id": 968597222071615500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 15:39:33",
"content": "you can try to compare points of the triangles if it's too tricky for you to figure out what exactly it's being reflected about",
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},
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"id": 968597466620506200,
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"author_name": "Deleted User",
"timestamp": "04/26/2022 15:40:31",
"content": "sorry im not sure",
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},
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"id": 968597540503175200,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 15:40:49",
"content": "try comparing the points on each triangle then",
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},
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"id": 968597761706557400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:41:42",
"content": "you go 1 square",
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"reference": null
},
{
"id": 968597785446322200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:41:47",
"content": "accross",
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},
{
"id": 968600912299950200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 15:54:13",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 968600913679892500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 15:54:13",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
14d537b83c294ca89d41e62cb1dc0930
|
199,592 |
[
{
"id": 968631613615378400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 17:56:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968632145495081000,
"author_id": 750446878717640800,
"author_name": "moisesga2020",
"timestamp": "04/26/2022 17:58:19",
"content": "I would like to double check that my (iii) question/answer is correctly answers",
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"timestamp": "04/26/2022 17:58:20",
"content": "Pinned a message.",
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"timestamp": "04/26/2022 18:13:20",
"content": "@moisesga2020 Has your question been resolved?",
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"id": 968636386871771300,
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"timestamp": "04/26/2022 18:15:11",
"content": ".close",
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},
{
"id": 968636388448813000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 18:15:11",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7b43fc3891d141078c98ecf38fd7b9b8
|
199,593 |
[
{
"id": 968636641390501900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 18:16:11",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968639727618113500,
"author_id": 306834627405021200,
"author_name": "freakybaron",
"timestamp": "04/26/2022 18:28:27",
"content": "I got this task where i am supposed to find out the numeral system of both given numbers, but i really have no clue, please help me",
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{
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{
"id": 968639729362939900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 18:28:27",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 968639727618113500,
"channelId": 486844875632017400,
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}
},
{
"id": 968640837808439300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "04/26/2022 18:32:52",
"content": "Actually write the equalities out in a more usual form. Like (111)X = X^2 + X + 1, do this for all 4 numbers. This gives you a system of 2 equations which happens to be solvable quite nicely with the right liner combination",
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},
{
"id": 968641028640886800,
"author_id": 306834627405021200,
"author_name": "freakybaron",
"timestamp": "04/26/2022 18:33:37",
"content": "ahhhh i get it",
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"reference": null
},
{
"id": 968641033283993600,
"author_id": 306834627405021200,
"author_name": "freakybaron",
"timestamp": "04/26/2022 18:33:38",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968641713855951000,
"author_id": 306834627405021200,
"author_name": "freakybaron",
"timestamp": "04/26/2022 18:36:21",
"content": "(220)x = 2*x^2 ..... and so on",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968641735620182000,
"author_id": 306834627405021200,
"author_name": "freakybaron",
"timestamp": "04/26/2022 18:36:26",
"content": "is it correct like that?",
"attachments": [],
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"reference": null
},
{
"id": 968641844470743000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "04/26/2022 18:36:52",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968642063639932900,
"author_id": 306834627405021200,
"author_name": "freakybaron",
"timestamp": "04/26/2022 18:37:44",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968642065233764400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 18:37:44",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4abadd267c4d4335b6840f387b5ebf89
|
199,594 |
[
{
"id": 968642317672136700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 18:38:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968643772676198400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 18:44:31",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 968643769983455200,
"channelId": 486844875632017400,
"guildId": null
}
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"id": 968644095360790500,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "04/26/2022 18:45:48",
"content": "@Moderators",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968644295412289700,
"author_id": 229743249877762050,
"author_name": "MetalNinja27",
"timestamp": "04/26/2022 18:46:36",
"content": "banned",
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"reference": null
},
{
"id": 968644302089621500,
"author_id": 229743249877762050,
"author_name": "MetalNinja27",
"timestamp": "04/26/2022 18:46:38",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968644425335046300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "04/26/2022 18:47:07",
"content": "Thank you too",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968648045648547800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:01:30",
"content": "@Unknown Has your question been resolved?",
"attachments": [],
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},
{
"id": 968651821289701500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:16:30",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
669b22e9eda54da7a099a0590aab5be6
|
199,595 |
[
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"id": 968652074105602000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:17:31",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968653488542322800,
"author_id": 516326709965094900,
"author_name": "Etienne",
"timestamp": "04/26/2022 19:23:08",
"content": "Does anyone know what question 1 means? Ive been thinking about it, i prefer to not have a clear answer, just some tips would help tremendously!",
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"id": 968653489771282400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:23:08",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 968653488542322800,
"channelId": 486844875632017400,
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{
"id": 968653725629554700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 19:24:04",
"content": "Hmm strange question, hard to help without giving you an answer",
"attachments": [],
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"reference": null
},
{
"id": 968653770336645200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 19:24:15",
"content": "By the picture you drew you clearly know what both things are",
"attachments": [],
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},
{
"id": 968653914490699800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 19:24:49",
"content": "Maybe try saying here what they are in your own words",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968654122461057000,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "04/26/2022 19:25:39",
"content": "which question?",
"attachments": [],
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"reference": null
},
{
"id": 968654123023077400,
"author_id": 516326709965094900,
"author_name": "Etienne",
"timestamp": "04/26/2022 19:25:39",
"content": "Ah i see🤔",
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},
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"id": 968654162390839300,
"author_id": 516326709965094900,
"author_name": "Etienne",
"timestamp": "04/26/2022 19:25:49",
"content": "Question 1",
"attachments": [],
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},
{
"id": 968654332188819600,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "04/26/2022 19:26:29",
"content": "\"in your own words\"",
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},
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"id": 968654432797622300,
"author_id": 516326709965094900,
"author_name": "Etienne",
"timestamp": "04/26/2022 19:26:53",
"content": "Yes",
"attachments": [],
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},
{
"id": 968654547952226300,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "04/26/2022 19:27:20",
"content": "so, write whatever you understand by that term",
"attachments": [],
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"reference": null
},
{
"id": 968654574061748400,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "04/26/2022 19:27:27",
"content": "it is a subjective",
"attachments": [],
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},
{
"id": 968654590167879800,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "04/26/2022 19:27:31",
"content": "question",
"attachments": [],
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"reference": null
},
{
"id": 968654648804274200,
"author_id": 516326709965094900,
"author_name": "Etienne",
"timestamp": "04/26/2022 19:27:45",
"content": "",
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"id": 968654707172196500,
"author_id": 516326709965094900,
"author_name": "Etienne",
"timestamp": "04/26/2022 19:27:58",
"content": "I think i understand a little more, thanks 😊",
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},
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"id": 968654855658963100,
"author_id": 516326709965094900,
"author_name": "Etienne",
"timestamp": "04/26/2022 19:28:34",
"content": ".close",
"attachments": [],
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},
{
"id": 968654856632012800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:28:34",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
ed5684be20094714970abb6ab3433571
|
199,596 |
[
{
"id": 968656014524174300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:33:10",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 968656256321609700,
"author_id": 704810570058039300,
"author_name": "Bits",
"timestamp": "04/26/2022 19:34:08",
"content": "How do I solve this? Is there a video explaining maybe?",
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"timestamp": "04/26/2022 19:34:08",
"content": "Pinned a message.",
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{
"id": 968656976777211900,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 19:37:00",
"content": "do you have notes or something?",
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"id": 968657067504185300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 19:37:21",
"content": "do you know what a composition is?",
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},
{
"id": 968657421167902700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 19:38:45",
"content": "why is everyone here so dense in the head",
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"name": "Murat",
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"id": 968657432467361800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 19:38:48",
"content": "stop doing people's work for them",
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},
{
"id": 968660031979520000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:49:08",
"content": "@Bits Has your question been resolved?",
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},
{
"id": 968661104827961500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "04/26/2022 19:53:24",
"content": "You can first find g(2), and whatever that number is, plug that value in for x into f(x)",
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},
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"id": 968661160595435500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "04/26/2022 19:53:37",
"content": "In order to evaluate g(2), you need to plug in 2 for every x you see in the expression for g(x)",
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},
{
"id": 968661248122175500,
"author_id": 704810570058039300,
"author_name": "Bits",
"timestamp": "04/26/2022 19:53:58",
"content": "No one does people work, at least in my case..",
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"id": 968661326970892400,
"author_id": 704810570058039300,
"author_name": "Bits",
"timestamp": "04/26/2022 19:54:17",
"content": "I'm just asking someone to explain lmao 🤣",
"attachments": [],
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},
{
"id": 968661357035679700,
"author_id": 704810570058039300,
"author_name": "Bits",
"timestamp": "04/26/2022 19:54:24",
"content": "And simply it",
"attachments": [],
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},
{
"id": 968661383514292200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 19:54:30",
"content": "That message wasn't aimed at you don't worry, you're all good",
"attachments": [],
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{
"id": 968661447024468100,
"author_id": 704810570058039300,
"author_name": "Bits",
"timestamp": "04/26/2022 19:54:45",
"content": "Ah",
"attachments": [],
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},
{
"id": 968661467136143400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/26/2022 19:54:50",
"content": "yeah there were 2 people who gave you the answer",
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},
{
"id": 968661514393379000,
"author_id": 704810570058039300,
"author_name": "Bits",
"timestamp": "04/26/2022 19:55:01",
"content": "I wasn't at my computer ajaja",
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},
{
"id": 968661549147377800,
"author_id": 704810570058039300,
"author_name": "Bits",
"timestamp": "04/26/2022 19:55:10",
"content": "If I want the answer, I have the key",
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},
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"id": 968661691028107300,
"author_id": 704810570058039300,
"author_name": "Bits",
"timestamp": "04/26/2022 19:55:44",
"content": "Thx",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:56:26",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
aa3ff80a4f7243a38a481759b4b0e8ec
|
199,597 |
[
{
"id": 968662121002971100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 19:57:26",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 968667068025143300,
"author_id": 564332101667782660,
"author_name": "jessqlin",
"timestamp": "04/26/2022 20:17:05",
"content": "q1.\nmy complementary equation is r^2 + 16r = 0\nmy trial particular solution is yp(t)=Ae^(3x)\ny'p(t) = 3Ae^(3x)\ny''p(t) = 9Ae^(3x)\nthen I'm stuck: I get 9Ae^(3x) + 48Ae^(3x) which is wrong because I'm supposed to get a sum of 25Ae^(3x)",
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"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 20:17:06",
"content": "Pinned a message.",
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{
"id": 968667250318012500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/26/2022 20:17:49",
"content": "what are you struggling with?",
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},
{
"id": 968667361764843500,
"author_id": 564332101667782660,
"author_name": "jessqlin",
"timestamp": "04/26/2022 20:18:16",
"content": "sorry my message sent early, but i just edited it!",
"attachments": [],
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},
{
"id": 968667673451974700,
"author_id": 564332101667782660,
"author_name": "jessqlin",
"timestamp": "04/26/2022 20:19:30",
"content": ":O my complementary solution omgomgomg nooo it's supposed to be 16 not 16r",
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},
{
"id": 968667921134022700,
"author_id": 564332101667782660,
"author_name": "jessqlin",
"timestamp": "04/26/2022 20:20:29",
"content": "ahhhh okok i keep making this stupid mistake hahahahaha :'D",
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},
{
"id": 968667946895425700,
"author_id": 564332101667782660,
"author_name": "jessqlin",
"timestamp": "04/26/2022 20:20:35",
"content": "ty for ur help!!",
"attachments": [],
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},
{
"id": 968667954810060900,
"author_id": 564332101667782660,
"author_name": "jessqlin",
"timestamp": "04/26/2022 20:20:37",
"content": ".close",
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},
{
"id": 968667956471033900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 20:20:37",
"content": "Channel closed",
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}
] |
help-9
|
31800fddfc1c44718bc206a30b69cdf7
|
199,598 |
[
{
"id": 956358933172322300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 21:08:57",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 956359254300848100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:10:14",
"content": "guys i need help please how do i complete this square",
"attachments": [],
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},
{
"id": 956359256746131500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 21:10:15",
"content": "Pinned a message.",
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{
"id": 956359301738430500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:10:25",
"content": "4x^2+12x+_",
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},
{
"id": 956359346571317200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:10:36",
"content": "cant find anything to help me on google",
"attachments": [],
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},
{
"id": 956359368612397000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:10:41",
"content": "or youtube",
"attachments": [],
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},
{
"id": 956359393643995100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:10:47",
"content": "please",
"attachments": [],
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},
{
"id": 956359446714531800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:11:00",
"content": "there should be plenty of stuff for completing the square online",
"attachments": [],
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"reference": null
},
{
"id": 956359461390417900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:11:03",
"content": "Bruh",
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},
{
"id": 956359489106346000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:11:10",
"content": "anyway first factor out 4",
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},
{
"id": 956359538381029400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:11:22",
"content": "and then complete the square as usual for the stuff within the parentheses",
"attachments": [],
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},
{
"id": 956359579783016600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:11:32",
"content": "How do i factor it out when i dont even know what c is",
"attachments": [],
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},
{
"id": 956359593246736500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:11:35",
"content": "and the redistribute the 4",
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},
{
"id": 956359613924663300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:11:40",
"content": "wdym",
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},
{
"id": 956359629993046000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:11:44",
"content": "wait",
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},
{
"id": 956359743427981300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:12:11",
"content": "i thought i needed all the numbers to begin factoring",
"attachments": [],
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},
{
"id": 956359757592162300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:12:14",
"content": "you don't really care that much about the constant when completing the square",
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},
{
"id": 956359847929065500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:12:36",
"content": "shit ur so right",
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},
{
"id": 956359857043275900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:12:38",
"content": "thanks man",
"attachments": [],
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},
{
"id": 956359932247154800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:12:56",
"content": "so it would be",
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},
{
"id": 956359945891242000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:12:59",
"content": "1.5^2",
"attachments": [],
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},
{
"id": 956360023389376500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:13:17",
"content": "wdym by \"it\"",
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},
{
"id": 956360086656274400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:13:32",
"content": "c",
"attachments": [],
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},
{
"id": 956360127894659200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:13:42",
"content": "wdym",
"attachments": [],
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},
{
"id": 956360129396240400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:13:43",
"content": "what's c supposed to represent here",
"attachments": [],
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},
{
"id": 956360240977289200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:14:09",
"content": "you’d get 4(x^2+3x+_)",
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},
{
"id": 956360277656473700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:14:18",
"content": "factoring out the 4",
"attachments": [],
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},
{
"id": 956360533836177400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:15:19",
"content": "(4x^2+12x+_) —> 4(x^2+3x+_)",
"attachments": [],
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},
{
"id": 956360627541139500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:15:41",
"content": "theres supposed to be an underscore",
"attachments": [],
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},
{
"id": 956360699532161200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:15:59",
"content": "after the plus signs",
"attachments": [],
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},
{
"id": 956360758160146600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:16:13",
"content": "i lost him bruh",
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"author_name": "ramonov",
"timestamp": "03/23/2022 21:16:25",
"content": "still doesn't tell me what c is supposed to represent",
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"id": 956360821703856100,
"author_id": 460596462355742700,
"author_name": "fredyang",
"timestamp": "03/23/2022 21:16:28",
"content": "if you put \\ in front of your underscores, it won't try to use them as italicization",
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"author_name": "Deleted User",
"timestamp": "03/23/2022 21:16:48",
"content": "C is supposed to mean the third number",
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"id": 956360951026827300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:16:59",
"content": "ax^2+bx+c",
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},
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"author_name": "ramonov",
"timestamp": "03/23/2022 21:17:02",
"content": "wdym by third number",
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},
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"id": 956360971268538400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:17:03",
"content": "its in this format",
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"id": 956361002209923200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:17:11",
"content": "third coefficient",
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},
{
"id": 956361037253333000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:17:19",
"content": "can you show me exactly what you intend to do in your next step?",
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"timestamp": "03/23/2022 21:17:33",
"content": "bruh isnt this what you just told me",
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"author_name": "Deleted User",
"timestamp": "03/23/2022 21:17:44",
"content": "-",
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"id": 956361264538464300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:18:13",
"content": "and show me how you'd complete the square for the stuff within the parentheses",
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"id": 956361306775113700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:18:23",
"content": "divide 3 by 2",
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},
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"id": 956361317038567400,
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"author_name": "Deleted User",
"timestamp": "03/23/2022 21:18:26",
"content": "1.5",
"attachments": [],
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},
{
"id": 956361325443944400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:18:28",
"content": "square it",
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},
{
"id": 956361394306043900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:18:44",
"content": "1.5^2 will be involved",
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},
{
"id": 956361423276101600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:18:51",
"content": "in the process",
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},
{
"id": 956361445321371600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:18:56",
"content": "yes",
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},
{
"id": 956361453957439500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:18:58",
"content": "show me how you'd use that value",
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},
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"id": 956361467211423700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:19:02",
"content": "thats what i said",
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},
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"id": 956361478024339600,
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"author_name": "Deleted User",
"timestamp": "03/23/2022 21:19:04",
"content": "that would be c",
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},
{
"id": 956361496571564200,
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"author_name": "Deleted User",
"timestamp": "03/23/2022 21:19:09",
"content": "1.5^2 is c",
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},
{
"id": 956361681053843600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:19:53",
"content": "which is 2.25",
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},
{
"id": 956361690302275600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:19:55",
"content": "times 4 is 9",
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},
{
"id": 956361787450720300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:20:18",
"content": "show the full work you'd write after getting that value",
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},
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"author_name": "Deleted User",
"timestamp": "03/23/2022 21:24:16",
"content": "i got a good answer",
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},
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"author_name": "Deleted User",
"timestamp": "03/23/2022 21:24:43",
"content": "",
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"author_name": "Deleted User",
"timestamp": "03/23/2022 21:25:13",
"content": "square root of 1 is 1",
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},
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"id": 956363095155044400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:25:30",
"content": "x^2+y^2=r^2",
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},
{
"id": 956363214910791700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:25:58",
"content": "that works",
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},
{
"id": 956364115184586800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:29:33",
"content": "✅",
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},
{
"id": 956364139666759800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:29:39",
"content": "thx",
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"id": 956364149397536900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 21:29:41",
"content": ".close",
"attachments": [],
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},
{
"id": 956364151335288800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 21:29:42",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
32a7f2351a8f4054b0568f6de1643e75
|
199,599 |
[
{
"id": 968669593814052900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 20:27:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968670553034617000,
"author_id": 816970557831643100,
"author_name": "melody",
"timestamp": "04/26/2022 20:30:56",
"content": "what is Monte Carlo method",
"attachments": [],
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"reference": null
},
{
"id": 968670554833977300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 20:30:57",
"content": "Pinned a message.",
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"messageId": 968670553034617000,
"channelId": 486844875632017400,
"guildId": null
}
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{
"id": 968670575721586700,
"author_id": 816970557831643100,
"author_name": "melody",
"timestamp": "04/26/2022 20:31:02",
"content": "I’m totally lost",
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"reference": null
},
{
"id": 968670682458247200,
"author_id": 601215456862535700,
"author_name": "Harreh",
"timestamp": "04/26/2022 20:31:27",
"content": "its basically random sampling iirc",
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"reference": null
},
{
"id": 968671125175435300,
"author_id": 816970557831643100,
"author_name": "melody",
"timestamp": "04/26/2022 20:33:13",
"content": "does it have like formula",
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"reference": null
},
{
"id": 968671172034166800,
"author_id": 816970557831643100,
"author_name": "melody",
"timestamp": "04/26/2022 20:33:24",
"content": "idk how to find the x and y thing",
"attachments": [],
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"reference": null
},
{
"id": 968674947885039600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 20:48:24",
"content": "@melody Has your question been resolved?",
"attachments": [],
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"timestamp": "04/26/2022 21:18:33",
"content": "@melody Has your question been resolved?",
"attachments": [],
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{
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"name": "melody",
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"timestamp": "04/26/2022 21:48:33",
"content": "Channel closed",
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}
] |
help-9
|
947e1bc7cd2645d0bb4b389bc6948ccd
|
199,600 |
[
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"author_id": 805217272087838700,
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"timestamp": "04/26/2022 21:56:44",
"content": "Available help channel!",
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},
{
"id": 968692299355787300,
"author_id": 725494767781281900,
"author_name": "Skewby",
"timestamp": "04/26/2022 21:57:21",
"content": "im a bit confused here",
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},
{
"id": 968692301801070700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 21:57:22",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 22:14:20",
"content": "@Skewby Has your question been resolved?",
"attachments": [],
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"author_name": "Skewby",
"timestamp": "04/26/2022 22:14:36",
"content": ".clsoe",
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},
{
"id": 968696645787222000,
"author_id": 725494767781281900,
"author_name": "Skewby",
"timestamp": "04/26/2022 22:14:37",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 968696647481716700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 22:14:38",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d0b428bd794441709b5eaa1c61ce05de
|
199,601 |
[
{
"id": 968696900184326300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 22:15:38",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 968698528832581600,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/26/2022 22:22:06",
"content": "how do i prove that |a-b| >= |a| - |b|",
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},
{
"id": 968698530736771100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 22:22:07",
"content": "Pinned a message.",
"attachments": [],
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}
},
{
"id": 968698635577618400,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "04/26/2022 22:22:32",
"content": "do you know the triangle inequality",
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},
{
"id": 968698702829080600,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/26/2022 22:22:48",
"content": "no",
"attachments": [],
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},
{
"id": 968698728800206800,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/26/2022 22:22:54",
"content": "and the textbook doesn't use it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968698840460972000,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/26/2022 22:23:21",
"content": "afaik",
"attachments": [],
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"reference": null
},
{
"id": 968698954315366400,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "04/26/2022 22:23:48",
"content": "then you can just square both sides i guess",
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},
{
"id": 968699533724901400,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/26/2022 22:26:06",
"content": "oh",
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},
{
"id": 968699585323233300,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/26/2022 22:26:18",
"content": "well then",
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},
{
"id": 968699596110975000,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/26/2022 22:26:21",
"content": "thanks",
"attachments": [],
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},
{
"id": 968699626083475600,
"author_id": 519519479546511360,
"author_name": "Amarinya",
"timestamp": "04/26/2022 22:26:28",
"content": ".close",
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},
{
"id": 968699627547267100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 22:26:28",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
3dd47bf720f144d7a9bdd838b82a4ef0
|
199,602 |
[
{
"id": 968701054860525600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 22:32:09",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 968701753379942400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:34:55",
"content": "https://i.imgur.com/YR6RRmF.png",
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"id": 968701755170885600,
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"timestamp": "04/26/2022 22:34:56",
"content": "Pinned a message.",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:36:19",
"content": "so i tried using 12c4 = 12!/9!4! and the answer was wrong",
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"id": 968702774298693600,
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"author_name": "Deleted User",
"timestamp": "04/26/2022 22:38:59",
"content": "i just dont understand what i did wrong",
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},
{
"id": 968703038883786800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:40:02",
"content": "you also need to arrange them",
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},
{
"id": 968703087386697700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:40:13",
"content": "you just chose 4 players",
"attachments": [],
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},
{
"id": 968703139903598600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:40:26",
"content": "but they have specific positions",
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},
{
"id": 968703162255048700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:40:31",
"content": "or orders",
"attachments": [],
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},
{
"id": 968703239090483200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:40:49",
"content": "yea thats where im stuck",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:41:18",
"content": "i really want to understand it but i cant for some reason",
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:41:59",
"content": "have you been taught permutations?",
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"id": 968703540203778200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:42:01",
"content": "nPr",
"attachments": [],
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"id": 968703581437980700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:42:11",
"content": "i think but i forgot",
"attachments": [],
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},
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"id": 968703627457871900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:42:22",
"content": "nPr = nCr x r!",
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},
{
"id": 968703655496794100,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:42:29",
"content": "that's what you need to use here",
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"id": 968703683661545500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:42:35",
"content": "You chose the 4 players first",
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},
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"id": 968703704721133600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:42:40",
"content": "then arranged them in 4! ways",
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"id": 968703775290306600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:42:57",
"content": "oh ok",
"attachments": [],
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{
"id": 968703828369240200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:43:10",
"content": "so its still 12c4 right",
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},
{
"id": 968703832664211500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:43:11",
"content": "or no",
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"id": 968703863853043700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:43:18",
"content": "yes",
"attachments": [],
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},
{
"id": 968703871339884700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:43:20",
"content": "because 12 players",
"attachments": [],
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},
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"id": 968703871528624300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:43:20",
"content": "it is",
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"id": 968703882341544000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:43:23",
"content": "ok",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:43:25",
"content": "so 12c4",
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},
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"id": 968703918244778000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:43:31",
"content": "then",
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:43:40",
"content": "then multiply that by 4!",
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"id": 968703956102570000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:43:40",
"content": "theres 4 positions",
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"id": 968703976189100000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:43:45",
"content": "yep",
"attachments": [],
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{
"id": 968704023156908000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:43:56",
"content": "multiply 12c4 by 4!?",
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"id": 968704038021513300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:44:00",
"content": "yes",
"attachments": [],
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"id": 968704090475462800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:44:12",
"content": "so 12!/4!4!?",
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"id": 968704125913157600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:44:21",
"content": "4! in the numerator",
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},
{
"id": 968704185648431200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:44:35",
"content": "so 4!/12!4!",
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},
{
"id": 968704188945158300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:44:36",
"content": "or",
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},
{
"id": 968704198038396900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:44:38",
"content": "12!/9!",
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},
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"id": 968704258935517200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:44:52",
"content": "thats what you get after multiplying",
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"author_name": "Deleted User",
"timestamp": "04/26/2022 22:45:03",
"content": "okay thats 1320",
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},
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"id": 968704523407351800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:45:56",
"content": "there's another way to think about this problem too,\n\nFor the first base, you can chose any of the 12 players.\nFor the second, you can chose any of the remaining 11 players.\nFor the third, 10 players\nFor the shortstop, 9 players.\n\nThus 12 x 11 x 10 x 9 ways",
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"author_name": "Deleted User",
"timestamp": "04/26/2022 22:46:24",
"content": "yea thats a big number tho",
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},
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"id": 968704673194311700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:46:31",
"content": "its numerically equal to 12!/9!",
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"id": 968704690822996000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:46:35",
"content": "11,880",
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"id": 968704738235400200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:46:47",
"content": "wait",
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},
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"id": 968704789984739500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:46:59",
"content": "why'd you do 12-4=9",
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"id": 968704797115023400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:47:01",
"content": ":catBruh:",
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},
{
"id": 968704818770239500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:47:06",
"content": "its 8",
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},
{
"id": 968704831042768900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:47:09",
"content": "12!/8!",
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"id": 968704838697353200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:47:11",
"content": "LOL",
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},
{
"id": 968704846708494500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:47:13",
"content": "oops",
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"id": 968704880267133000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:47:21",
"content": "sorry im not good at math at all",
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"timestamp": "04/26/2022 22:47:24",
"content": "its ok",
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/26/2022 22:47:26",
"content": ":catthumbsup:",
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"id": 968704907039363100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:47:27",
"content": "im kind of rushing",
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},
{
"id": 968704935673872400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:47:34",
"content": "well not really",
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{
"id": 968704956553109500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:47:39",
"content": "wat i did was",
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"author_name": "Deleted User",
"timestamp": "04/26/2022 22:47:43",
"content": "12!/9!4!",
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"id": 968704988715036700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/26/2022 22:47:46",
"content": "so i should do",
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"id": 968705011775312000,
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"timestamp": "04/26/2022 22:47:52",
"content": "12!/8!4!",
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"timestamp": "04/26/2022 22:47:52",
"content": "?",
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"id": 968705689931362300,
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"timestamp": "04/26/2022 22:50:34",
"content": "hmmm",
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"id": 968705922681671800,
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"author_name": "Deleted User",
"timestamp": "04/26/2022 22:51:29",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 22:51:29",
"content": "Channel closed",
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}
] |
help-9
|
ad2c8b736bf5477093f3c08edeb30543
|
199,603 |
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"timestamp": "04/26/2022 22:52:30",
"content": "Available help channel!",
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"content": "im kinda stuck on this problem",
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"author_id": 922785407924576300,
"author_name": "gnitnuy5289",
"timestamp": "04/26/2022 23:04:21",
"content": "Do you know you can use first differentiation to find slope?",
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"timestamp": "04/26/2022 23:11:05",
"content": "@Brotally Has your question been resolved?",
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"id": 968710916591996900,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "04/26/2022 23:11:20",
"content": "delta y/ delta x",
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"id": 968710936489758700,
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"content": "Yes",
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"timestamp": "04/26/2022 23:12:02",
"content": "Dy/dx =dy/dt/dx/dt",
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"author_name": "Brotally",
"timestamp": "04/26/2022 23:17:36",
"content": "so whats dy and dx?",
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"author_id": 922785407924576300,
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"timestamp": "04/26/2022 23:20:10",
"content": "X do first differentiation is dx",
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"timestamp": "04/26/2022 23:21:37",
"content": "And you differentiate the left side of x=-t-6,the right side need to be done the same",
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"id": 968713778906681300,
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"timestamp": "04/26/2022 23:22:42",
"content": "wdym",
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"author_id": 922785407924576300,
"author_name": "gnitnuy5289",
"timestamp": "04/26/2022 23:27:28",
"content": "Because we want dy/dx",
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"author_name": "Brotally",
"timestamp": "04/26/2022 23:27:59",
"content": "is dx = -6 and dt= 1?",
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"timestamp": "04/26/2022 23:28:39",
"content": "No",
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"timestamp": "04/26/2022 23:29:59",
"content": "The equation of x and t can know dx/dt ,and so does the equation of y and t",
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"id": 968716143281975300,
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"author_name": "Brotally",
"timestamp": "04/26/2022 23:32:06",
"content": "so do i solve for t in x and y equations?",
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"timestamp": "04/26/2022 23:33:24",
"content": "Maybe I can do dx/dt for you",
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"author_name": "Brotally",
"timestamp": "04/26/2022 23:34:27",
"content": "yea so then i can do dy/dt by myself",
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"content": "And dx/dt =-1",
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"timestamp": "04/26/2022 23:37:07",
"content": "so the -1 basically came from -t?",
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"timestamp": "04/26/2022 23:40:53",
"content": "so dy/dt = 3?",
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"content": ".close",
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"timestamp": "04/26/2022 23:47:59",
"content": "Channel closed",
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help-9
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68f39042eb6e456a83b9026fc7e7b401
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199,604 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 23:48:59",
"content": "Available help channel!",
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"id": 968721953655509100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/26/2022 23:55:11",
"content": "Pinned a message.",
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"id": 968721972148199400,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/26/2022 23:55:16",
"content": "i need help",
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"id": 968722495295344600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/26/2022 23:57:20",
"content": "how can you get fast?",
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"id": 968722552325296100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/26/2022 23:57:34",
"content": "how do you measure speed of a truck in your day-to-day life",
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"id": 968722634311348400,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/26/2022 23:57:54",
"content": "by km",
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"id": 968722648580362400,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/26/2022 23:57:57",
"content": "km/h",
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"id": 968722670231359500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/26/2022 23:58:02",
"content": "okay",
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"id": 968722683237908500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/26/2022 23:58:05",
"content": "so km per hour",
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"id": 968722728720941000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/26/2022 23:58:16",
"content": "per is a fancy word for divide",
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"id": 968722798979727400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/26/2022 23:58:33",
"content": "it says if you take some km",
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"id": 968722815069093900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/26/2022 23:58:37",
"content": "and divide it by hours",
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"id": 968722830286016600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/26/2022 23:58:40",
"content": "you get the unit speed",
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"id": 968723054165393400,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/26/2022 23:59:34",
"content": "uhhhh",
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"id": 968723086578970600,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/26/2022 23:59:41",
"content": "If you want km/h:\nFirst, convert distance into km\nSecond, convert time into hour\nAnd the last step is",
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"timestamp": "04/26/2022 23:59:47",
"content": "$\\tiny{\\text{Simple, it's just}}\\\\ \\small{\\text{speed} = \\frac{\\text{distance}}{\\text{time}}}$",
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"id": 968723207790133200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/27/2022 00:00:10",
"content": "**Si Arya**",
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"timestamp": "04/27/2022 00:00:24",
"content": "yup",
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"id": 968723384483590100,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:00:52",
"content": "23km to distance?",
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"id": 968723590432313300,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:01:41",
"content": "like what number",
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"id": 968723610669817900,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:01:46",
"content": "like what steps",
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"id": 968723630353711100,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/27/2022 00:01:51",
"content": "First, convert distance into km. So we convert 23 km into km. The answer is 23 km",
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"id": 968723663442550800,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:01:59",
"content": "ok",
"attachments": [],
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"id": 968723899682553900,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:02:55",
"content": "whats next",
"attachments": [],
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"author_name": "Arya 1503",
"timestamp": "04/27/2022 00:04:10",
"content": "Convert time into hour. So basically we convert 15 minute into hour. The question is,\n15 minute = ? hour\nRemember that 1 hour = 60 minutes",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/27/2022 00:04:24",
"content": "Convert 15 mins into hour.",
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"timestamp": "04/27/2022 00:04:32",
"content": "@Amin",
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"id": 968724318009835500,
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"author_name": "Amin",
"timestamp": "04/27/2022 00:04:35",
"content": "yes",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/27/2022 00:05:10",
"content": "Then put it in the formula he mentioned above.",
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"id": 968724611560796200,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:05:45",
"content": "0.25?",
"attachments": [],
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"author_name": "Deleted User",
"timestamp": "04/27/2022 00:06:45",
"content": "yep. Or could it be 1/4 hours. Which ever you find suitable to solve.",
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"timestamp": "04/27/2022 00:07:26",
"content": "Exactly, now plug those values into the formula and you will get the answer",
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"id": 968725129427304400,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:07:48",
"content": "23/0.25?",
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"id": 968725240601526400,
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"author_name": "Amin",
"timestamp": "04/27/2022 00:08:15",
"content": "its 92",
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"author_name": "Deleted User",
"timestamp": "04/27/2022 00:08:24",
"content": "There you go",
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"author_name": "Arya 1503",
"timestamp": "04/27/2022 00:08:26",
"content": "Yes, it's 92",
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"author_name": "Amin",
"timestamp": "04/27/2022 00:08:31",
"content": "ok but",
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"id": 968725314937184300,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:08:33",
"content": "look",
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"id": 968725359304532100,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:08:43",
"content": "?",
"attachments": [],
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{
"id": 968725429475237900,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:09:00",
"content": "it says numerically words visually",
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"id": 968725567778205700,
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"author_name": "Amin",
"timestamp": "04/27/2022 00:09:33",
"content": "@Arya 1503",
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"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/27/2022 00:09:56",
"content": "What",
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"author_name": "Amin",
"timestamp": "04/27/2022 00:10:01",
"content": "look",
"attachments": [],
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},
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"id": 968725710556508200,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:10:07",
"content": "?",
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"id": 968725789417824300,
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"author_name": "Amin",
"timestamp": "04/27/2022 00:10:26",
"content": "..",
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"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/27/2022 00:11:12",
"content": "How many ways **can you** solve it?",
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"id": 968726080619941900,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:11:35",
"content": "could you add me as a friend",
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},
{
"id": 968726123896774700,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:11:45",
"content": "so this chat will close",
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},
{
"id": 968726167978905700,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:11:56",
"content": "so we can talk on there",
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"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/27/2022 00:12:09",
"content": "I did",
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"id": 968726412506845200,
"author_id": 560145909732868100,
"author_name": "Amin",
"timestamp": "04/27/2022 00:12:54",
"content": "k",
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"timestamp": "04/27/2022 00:14:47",
"content": "@Amin Type \".close\" if your question is successfully been solved",
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"timestamp": "04/27/2022 00:15:07",
"content": "@Arya 1503 could you answer my questions on dm",
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"timestamp": "04/27/2022 00:15:23",
"content": "Channel closed",
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}
] |
help-9
|
e45e30fad7f3422a8e078fe36f7c67ea
|
199,605 |
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"content": "@Helpers",
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"content": "@waste_of_27USD Has your question been resolved?",
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"timestamp": "04/27/2022 00:53:00",
"content": "Here's the idea. Let's call this point on the center K. Then the triangle GEK is a right triangle. We know the length of GE, which is a. Now we need to determine the length of EK. Then you can use the pythagorean theorem to determine the length of GK, which is what is desired.",
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help-9
|
5a19bc704c9d48d082d84efd57b6265d
|
199,606 |
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"author_name": "L'Homme.Bepis",
"timestamp": "04/27/2022 02:22:24",
"content": "How come my dot product is the wrong sign?",
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"author_id": 805217272087838700,
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"timestamp": "04/27/2022 02:37:24",
"content": "@L'Homme.Bepis Has your question been resolved?",
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"timestamp": "04/27/2022 02:39:09",
"content": "@Helpers",
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},
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"id": 968770765438734300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 03:09:09",
"content": "@L'Homme.Bepis Has your question been resolved?",
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"author_name": "L'Homme.Bepis",
"timestamp": "04/27/2022 03:09:56",
"content": "🙃",
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},
{
"id": 968771080569380900,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/27/2022 03:10:24",
"content": "What?",
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"id": 968779661586862100,
"author_id": 516880534086090750,
"author_name": "Skid",
"timestamp": "04/27/2022 03:44:30",
"content": "Maybe bc they are asking for acute angle",
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"timestamp": "04/27/2022 03:46:48",
"content": "Negative dot product is finding obtuse angle",
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},
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"content": "@L'Homme.Bepis Has your question been resolved?",
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"timestamp": "04/27/2022 05:10:24",
"content": "Channel closed",
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}
] |
help-9
|
dbcfbd9dd75f47e282c46b88dd24083c
|
199,607 |
[
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"content": "Available help channel!",
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},
{
"id": 968805404429660200,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"content": "@Hamza Has your question been resolved?",
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"content": "@Hamza Has your question been resolved?",
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"content": "close.",
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"id": 968817047469453300,
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"id": 968817049033900000,
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] |
help-9
|
15fb1ae3c4d9419dbea41f0e41de3a89
|
199,608 |
[
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"timestamp": "04/27/2022 06:14:04",
"content": "Available help channel!",
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},
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"id": 968818410005880800,
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"author_name": "nullptr",
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"content": "Yes",
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"id": 968821044024594400,
"author_id": 504017189351718900,
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"content": "alright, thanks!",
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"content": ".close",
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"id": 968821067038748700,
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"timestamp": "04/27/2022 06:29:02",
"content": "Channel closed",
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}
] |
help-9
|
abd5dc4e207c4e2d9b58cb7b616e0952
|
199,609 |
[
{
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"author_id": 805217272087838700,
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"timestamp": "03/23/2022 21:30:42",
"content": "Available help channel!",
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"id": 956364828660887700,
"author_id": 667197780099334100,
"author_name": "mint",
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"content": "is the answer to a 1.27 or 0.93?",
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"content": "Pinned a message.",
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"author_name": "Shen",
"timestamp": "03/23/2022 21:33:13",
"content": "@mint Not sure what the answer is, but if you'd like advice, I'd recommend drawing a diagram",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/23/2022 21:35:19",
"content": "> is the answer to a 1.27 or 0.93?\nthose values are very different, why do you have 2 values and how did you get them",
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"content": "i already did and my answer was 1.27",
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"content": "0.93 is the on the answer key but i got 1.27",
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"content": "Show your work.",
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"timestamp": "03/23/2022 21:41:53",
"content": "radians/degrees?",
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"content": "degrees",
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"timestamp": "03/23/2022 21:42:27",
"content": "Your answer looks right, I think",
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"id": 956367466106343400,
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"timestamp": "03/23/2022 21:42:52",
"content": "so my teacher put in the wrong answer key again",
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"id": 956367539838021800,
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"timestamp": "03/23/2022 21:43:09",
"content": "thanks @Shen @ramonov",
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"content": ".close",
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}
] |
help-9
|
2750ed78e1a94204bf044a8b162eaef9
|
199,610 |
[
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"timestamp": "04/27/2022 06:31:25",
"content": "how do I solve for `x`?",
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"content": "5 and 26 are coprime",
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"id": 968821878812721200,
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"timestamp": "04/27/2022 06:32:15",
"content": "can u help me?",
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{
"id": 968821909380825100,
"author_id": 909734400990785500,
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"timestamp": "04/27/2022 06:32:23",
"content": "#❓how-to-get-help",
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"timestamp": "04/27/2022 06:32:37",
"content": "5 mod 26 has an inverse 21 mod 26 so x=21(y-4) mod 26",
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"timestamp": "04/27/2022 06:32:50",
"content": "@ysa",
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"content": "ok im trying to understand this hold on",
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"content": "._.",
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"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "04/27/2022 06:48:01",
"content": "I can get inverse 5 mod 26 = 21",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/27/2022 06:48:30",
"content": "So?",
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"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 07:03:01",
"content": "@Bee Has your question been resolved?",
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"timestamp": "04/27/2022 07:18:01",
"content": "Channel closed",
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}
] |
help-9
|
8be1c9a45ab04d5e92a1bffb4c455df6
|
199,611 |
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"id": 968857219221303300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 08:52:41",
"content": "Available help channel!",
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},
{
"id": 968857982605598700,
"author_id": 751104737654341800,
"author_name": "yanai",
"timestamp": "04/27/2022 08:55:43",
"content": "Are the functions x+2 and ((x+2)(x+3))/(x+3) the same?",
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"content": "Pinned a message.",
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"id": 968858721369329700,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/27/2022 08:58:39",
"content": "It doesn't have the same domain even though it can be simplified to x + 2",
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"id": 968858755552915500,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "04/27/2022 08:58:47",
"content": "These are not functions, these are expressions. Functions also have a domain and codomain. Here for every value where they are both naturally defined, they are equal, but the second one is only naturally defined on R \\ {-3} (assuming we're working with real numbers here) and the first one is defined on R entirely. Hence the functions don't have the same domain so they aren't equal. Now if you define both of them on R \\ {-3} they are equal because they coincide everywhere",
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"id": 968861293605969900,
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"timestamp": "04/27/2022 09:08:52",
"content": "It does not $\\frac {(x+2) (x+3)}{(x+3)}$ u can cancel out x+3 only and only when x+3 is not 0 that is x cannot be -3 thus the domain of the functions are different",
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"content": "**Frustrated Cat**",
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"content": "@yanai Has your question been resolved?",
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help-9
|
0851d41be5e04d6da8dea55a2cd6dfbe
|
199,612 |
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"id": 968866581406961700,
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"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 09:29:53",
"content": "Available help channel!",
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"id": 968871810911326200,
"author_id": 691156852498497500,
"author_name": "deann",
"timestamp": "04/27/2022 09:50:40",
"content": "How do I factor the expression 11z^2+2z-9?",
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"timestamp": "04/27/2022 09:50:41",
"content": "Pinned a message.",
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"author_name": "deann",
"timestamp": "04/27/2022 09:51:40",
"content": "@Helpers",
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"id": 968872228454301700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/27/2022 09:52:20",
"content": "try using this method",
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"author_name": "deann",
"timestamp": "04/27/2022 09:54:08",
"content": "it gets confusing with negative numbers",
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"author_name": "deann",
"timestamp": "04/27/2022 09:54:39",
"content": "and what if there are more than one factors that add up to the middle number?",
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"author_name": "deann",
"timestamp": "04/27/2022 09:55:48",
"content": "also how can i find out the numbers that sum up the 2 factors more easily because honestly thats the hard part",
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"timestamp": "04/27/2022 09:57:35",
"content": "if there is more than one option then i think they would both work",
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"author_name": "iCaird",
"timestamp": "04/27/2022 09:57:43",
"content": "so our magic number is -99 right?",
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"timestamp": "04/27/2022 09:57:49",
"content": "yeah",
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"timestamp": "04/27/2022 09:57:57",
"content": "we need two numbers that times to -99 and add to 2",
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"timestamp": "04/27/2022 09:58:07",
"content": "so you need to start listing factor pairs of -99",
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"timestamp": "04/27/2022 09:58:21",
"content": "1,3,9,11,99",
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"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "04/27/2022 09:58:33",
"content": "$\\pm$",
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"author_name": "TeXit",
"timestamp": "04/27/2022 09:58:53",
"content": "**What the hell am I doing here?**",
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"timestamp": "04/27/2022 09:59:04",
"content": "write them in pairs",
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"timestamp": "04/27/2022 09:59:21",
"content": "so 33*-3 = -99 so -3,33 is one pair",
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"timestamp": "04/27/2022 10:00:08",
"content": "(11x9)",
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"timestamp": "04/27/2022 10:00:15",
"content": "(1x99)",
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"timestamp": "04/27/2022 10:00:39",
"content": "dont forget the negative signs",
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"timestamp": "04/27/2022 10:00:44",
"content": "oh yeah",
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"timestamp": "04/27/2022 10:00:44",
"content": "remember our number is -99",
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"timestamp": "04/27/2022 10:00:51",
"content": "-11 x 9",
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"timestamp": "04/27/2022 10:00:55",
"content": "-1 x 99",
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"author_id": 691156852498497500,
"author_name": "deann",
"timestamp": "04/27/2022 10:01:11",
"content": "they have to add up to 2",
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"author_name": "iCaird",
"timestamp": "04/27/2022 10:01:11",
"content": "we could also have 11 x -9 right?",
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"id": 968874460016955400,
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"author_name": "deann",
"timestamp": "04/27/2022 10:01:12",
"content": "so",
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"timestamp": "04/27/2022 10:01:15",
"content": "yeah",
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"timestamp": "04/27/2022 10:01:22",
"content": "does that work for adding up to 2?",
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"author_name": "deann",
"timestamp": "04/27/2022 10:01:26",
"content": "yep",
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"timestamp": "04/27/2022 10:01:30",
"content": "nice",
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"author_name": "deann",
"timestamp": "04/27/2022 10:01:38",
"content": "soo",
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"timestamp": "04/27/2022 10:01:40",
"content": "the",
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"timestamp": "04/27/2022 10:01:52",
"content": "answer would be like",
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"timestamp": "04/27/2022 10:02:07",
"content": "(z+11)(z-9)",
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"author_name": "deann",
"timestamp": "04/27/2022 10:02:08",
"content": "right?",
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"author_name": "iCaird",
"timestamp": "04/27/2022 10:02:18",
"content": "not quite, what happens when you expand that?",
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"timestamp": "04/27/2022 10:02:28",
"content": "you should be following this method",
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"timestamp": "04/27/2022 10:02:33",
"content": "hmm",
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"author_name": "deann",
"timestamp": "04/27/2022 10:02:38",
"content": "hold on let me try",
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"timestamp": "04/27/2022 10:03:58",
"content": "wait so",
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"id": 968875232465154000,
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"author_name": "deann",
"timestamp": "04/27/2022 10:04:16",
"content": "(11z^2+11z)(-9z-9)",
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"author_name": "deann",
"timestamp": "04/27/2022 10:04:35",
"content": "and if i cancel out the multiples of 11 and 9",
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"timestamp": "04/27/2022 10:04:48",
"content": "the answer would be (z^2+2)(-2-1)",
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"timestamp": "04/27/2022 10:04:51",
"content": "and that seems werid",
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"timestamp": "04/27/2022 10:05:02",
"content": "not sure what you've done there",
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"timestamp": "04/27/2022 10:05:08",
"content": "are you following the method i sent?",
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"timestamp": "04/27/2022 10:05:20",
"content": "because we found the 11 and -9 we can now write it as",
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"id": 968875556521279500,
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"author_name": "iCaird",
"timestamp": "04/27/2022 10:05:33",
"content": "$11z^2 + 11z - 9z - 9$",
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"timestamp": "04/27/2022 10:05:35",
"content": "$11z^2+2z-9$",
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"timestamp": "04/27/2022 10:05:36",
"content": "**iCaird**",
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"timestamp": "04/27/2022 10:05:39",
"content": "**Frustrated Cat**",
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"content": "hmm",
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"timestamp": "04/27/2022 10:06:09",
"content": "middle term factor",
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"timestamp": "04/27/2022 10:06:20",
"content": "simple piece of cake",
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"timestamp": "04/27/2022 10:06:54",
"content": "from here what do i do?",
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"timestamp": "04/27/2022 10:07:11",
"content": "look at the picture i sent",
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"content": "see what they do",
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"timestamp": "04/27/2022 10:07:16",
"content": "factor $11z^2+11z$",
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"timestamp": "04/27/2022 10:07:18",
"content": "try and do the same thing",
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"timestamp": "04/27/2022 10:07:18",
"content": "**Frustrated Cat**",
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"timestamp": "04/27/2022 10:07:37",
"content": "and then $-9z-9$",
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"content": "see what u get",
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"timestamp": "04/27/2022 10:07:59",
"content": "(z+1)(11z-9)",
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"content": "huh",
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"timestamp": "04/27/2022 10:08:15",
"content": "i don't think im doing it right",
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"content": "(z+1)(11z-9)",
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"content": "this is correct",
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"content": "yup",
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"content": "ohhhh",
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"content": "okok",
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"timestamp": "04/27/2022 10:08:45",
"content": "thanks guys",
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"timestamp": "04/27/2022 10:08:48",
"content": "well done!",
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"content": ".close",
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"author_id": 805217272087838700,
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"timestamp": "04/27/2022 10:09:00",
"content": "Channel closed",
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] |
help-9
|
0c23db5f327e4533bd908a55941df52b
|
199,613 |
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"timestamp": "04/27/2022 10:09:04",
"content": "thankss",
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "04/27/2022 11:24:56",
"content": "how do we solve this??",
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"timestamp": "04/27/2022 11:26:01",
"content": "i have noticed that the difference between the denominator of each term is like 12, then 14, than 16 and so on (that's all i know)",
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"content": "can someone explain this to me please",
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"id": 968896296247242800,
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"timestamp": "04/27/2022 11:27:58",
"content": "$\\sum_{n=5}^{19} \\frac{1}{n*(n+1)}$",
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"content": "**Frustrated Cat**",
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"content": "@¯\\_(ツ)_/¯#2876",
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{
"id": 968897129454112800,
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"timestamp": "04/27/2022 11:31:16",
"content": "Eh",
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"id": 968897149796507600,
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"timestamp": "04/27/2022 11:31:21",
"content": "Why can't I ping this man",
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"timestamp": "04/27/2022 11:31:33",
"content": "Do you know the sum of powers formula?",
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"timestamp": "04/27/2022 11:32:49",
"content": "$\\sum_{n=5}^{19} \\frac{1}{n} * \\frac{1}{n+1}$",
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"timestamp": "04/27/2022 11:32:52",
"content": "**Frustrated Cat**",
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"timestamp": "04/27/2022 11:37:50",
"content": "actually i used to, but then i became lazy and stopped studying. thanks for helping me though",
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"timestamp": "04/27/2022 11:37:57",
"content": "can you explain why is n 5?",
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"content": "@¯\\_(ツ)_/¯ @",
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"timestamp": "04/27/2022 11:40:00",
"content": "Oh srry I don't think it can be solved that way",
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"timestamp": "04/27/2022 11:40:11",
"content": "Coz we start the sum from 5",
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"timestamp": "04/27/2022 11:40:16",
"content": "like 1/(5*6) is there",
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"timestamp": "04/27/2022 11:40:32",
"content": "yeah, that won't work :/",
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"timestamp": "04/27/2022 11:42:15",
"content": "@Helpers",
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"id": 968901345056817200,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/27/2022 11:48:01",
"content": "the sum that was already given to you is close, but not right",
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"timestamp": "04/27/2022 11:48:07",
"content": "the top index is off",
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"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/27/2022 11:48:50",
"content": "if you're starting at 5, you wouldn't go to 19... that's only 15 terms. you need 20 terms.",
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"id": 968902299676209300,
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"timestamp": "04/27/2022 11:51:49",
"content": "I got it",
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"id": 968902307125289100,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 11:51:51",
"content": "could you please explain in detail? i don't understand what you are sayin",
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{
"id": 968902307796385800,
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"timestamp": "04/27/2022 11:51:51",
"content": "Finally",
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"timestamp": "04/27/2022 11:51:57",
"content": "go ahead :)",
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"timestamp": "04/27/2022 11:52:39",
"content": "bruh lmfao",
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"timestamp": "04/27/2022 11:52:49",
"content": "also do not give away answers",
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"timestamp": "04/27/2022 11:53:00",
"content": "⁉️",
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"id": 968902639779725400,
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"timestamp": "04/27/2022 11:53:10",
"content": "$\\frac {1}{n(n+1)}$ = $\\frac{(n+1) - n}{n(n+1)}$ = $\\frac{1}{n} - \\frac{1}{n+1}$",
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"timestamp": "04/27/2022 11:53:34",
"content": "**Frustrated Cat**",
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"timestamp": "04/27/2022 11:53:45",
"content": "This can be written like that",
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"id": 968902809560948700,
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"timestamp": "04/27/2022 11:53:51",
"content": "Now try to solve the sum",
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"id": 968903007506952200,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 11:54:38",
"content": "actually i am not very good in seq and series.",
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"timestamp": "04/27/2022 11:54:42",
"content": "what is n?",
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"timestamp": "04/27/2022 11:54:44",
"content": "5?",
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"timestamp": "04/27/2022 11:54:59",
"content": "This expression basically",
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"timestamp": "04/27/2022 11:55:00",
"content": "this is more complicated than it needs to be..",
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"timestamp": "04/27/2022 11:55:06",
"content": "that is wrong",
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 11:55:33",
"content": "do i have to take this into consideration?",
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"timestamp": "04/27/2022 11:55:37",
"content": "I think it's 5 to 24 because the first term is 1/(5×6)",
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"timestamp": "04/27/2022 11:55:39",
"content": "no",
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"timestamp": "04/27/2022 11:55:56",
"content": "hence what i was hinting here...",
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"timestamp": "04/27/2022 11:56:36",
"content": "Oh ok srry if I made a mistake",
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"timestamp": "04/27/2022 11:56:43",
"content": "Wrong reply",
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{
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"timestamp": "04/27/2022 11:56:46",
"content": "I meant to @a disappointing son",
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"timestamp": "04/27/2022 11:56:49",
"content": "I mean this one",
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"timestamp": "04/27/2022 11:57:29",
"content": "Oh lol I made a seriously dumb mistake brb 💀",
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"timestamp": "04/27/2022 11:57:58",
"content": "how far are you into series? do you know what a telescoping series is?",
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"content": "nope",
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"content": ":bleak:",
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"author_name": "a disappointing son",
"timestamp": "04/27/2022 11:58:53",
"content": "is this a pre-test or something? you haven't learned anything about telescoping series?",
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:01:43",
"content": "i am preping for an entrance exam, \n1. i came across a question i can't solve from a chapter i haven't studied\n2. i panic, since i don't even have enough time to study everything\n3. i post this question on this server hoping to get a solution so i can tackle this type of question in my exam",
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"author_name": "a disappointing son",
"timestamp": "04/27/2022 12:02:14",
"content": "this server isn't about giving away solutions. it's about getting help on problems",
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"id": 968904983254827000,
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"author_name": "a disappointing son",
"timestamp": "04/27/2022 12:02:29",
"content": "the point is to guide someone through a problem they ((should)) already have somewhat of a grasp on",
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"timestamp": "04/27/2022 12:02:39",
"content": "if you haven't studied the chapter... ***study it***",
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:02:43",
"content": "yeah, i don't want the solution, i want the method to solve these kind if questions",
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"id": 968905130609107000,
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"timestamp": "04/27/2022 12:03:04",
"content": "the method leads to the solution",
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"author_name": "a disappointing son",
"timestamp": "04/27/2022 12:03:15",
"content": "if you want to learn, study the chapter, then come back if you're still having issues",
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"timestamp": "04/27/2022 12:04:49",
"content": "what i know is , for this question\na1=1/5-1/6\na2=1/6-1/7\nso on till \na20=1/20-1/21",
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"timestamp": "04/27/2022 12:05:20",
"content": "that's not what a_20 would be",
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"timestamp": "04/27/2022 12:06:40",
"content": "then what will it be?",
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"timestamp": "04/27/2022 12:07:55",
"content": "actually i just used some of my brain and concluded that summation of all terms should be 1/5-1/21 (since all the terms in the middle get cancelled because -something +something all along)",
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"timestamp": "04/27/2022 12:08:07",
"content": "but you said a20 is a different value :/",
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:08:10",
"content": "what is it then?",
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"timestamp": "04/27/2022 12:08:13",
"content": "@a disappointing son",
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"timestamp": "04/27/2022 12:08:27",
"content": "this logic is good",
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"author_name": "a disappointing son",
"timestamp": "04/27/2022 12:08:36",
"content": "but give yourself a minute to think about what a_20 would be",
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"id": 968906539056382100,
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"timestamp": "04/27/2022 12:08:40",
"content": "remember you're not starting at 1/1",
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"timestamp": "04/27/2022 12:08:42",
"content": "you're starting at 1/5",
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"timestamp": "04/27/2022 12:09:21",
"content": "a20 = 1/25-1/26?",
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"author_name": "a disappointing son",
"timestamp": "04/27/2022 12:10:24",
"content": "close, you're thinking of just adding 20 to each term, but the range from one number to another one includes both endpoints",
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"timestamp": "04/27/2022 12:10:46",
"content": "for example, the range of numbers 5-50 includes 46 numbers, but 50-5 is 45",
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"timestamp": "04/27/2022 12:11:48",
"content": "if you need to (since it's only 20 terms) you can always think to yourself: a3 = 1/7-... a4 = 1/8-... and so on",
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"timestamp": "04/27/2022 12:12:47",
"content": "this looks correct to me still",
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"timestamp": "04/27/2022 12:12:54",
"content": "lemme check once again",
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"timestamp": "04/27/2022 12:17:58",
"content": "okay a20 = 1/24-1/25",
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"timestamp": "04/27/2022 12:18:12",
"content": "yep",
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"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:18:36",
"content": "so i get my answer as",
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"timestamp": "04/27/2022 12:19:10",
"content": "and these are the options",
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"timestamp": "04/27/2022 12:19:10",
"content": "your denominator is wrong",
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"timestamp": "04/27/2022 12:19:41",
"content": "1/5 - 1/25 right?",
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"timestamp": "04/27/2022 12:19:44",
"content": "yep",
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"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:20:10",
"content": "yeah ... i am dumb",
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:20:16",
"content": "ill correct that",
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"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
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"timestamp": "04/27/2022 12:21:15",
"content": "yep , got it",
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"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:21:16",
"content": "thanks",
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},
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"id": 968909838614687700,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:21:47",
"content": "could you have done this problem differently?",
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"timestamp": "04/27/2022 12:23:11",
"content": "not that i'm aware of",
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"author_name": "a disappointing son",
"timestamp": "04/27/2022 12:23:24",
"content": "and when i mentioned a telescoping series, that's what the +-+-+- terms mean",
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"timestamp": "04/27/2022 12:23:49",
"content": "ohhh, then i guess i know what that is, just not the name lol",
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:24:15",
"content": "well okay, ill close this channel , and open another since i have one more doubt",
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "04/27/2022 12:25:06",
"content": ".close",
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},
{
"id": 968910675713867800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 12:25:06",
"content": "Channel closed",
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}
] |
help-9
|
ff08d82f619b49b590e1343bbf27a1c4
|
199,614 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 12:26:06",
"content": "Available help channel!",
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},
{
"id": 968912973823344600,
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"author_name": "beanbeanjuice",
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"timestamp": "04/27/2022 12:34:15",
"content": "Pinned a message.",
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"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:34:30",
"content": "I'm struggling with this... I know the taylor series for a natural log, but what do I do with the x^7 on the outside?",
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"id": 968913699769307300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/27/2022 12:37:07",
"content": "what is the taylor series for natural log?",
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{
"id": 968913743411024000,
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"timestamp": "04/27/2022 12:37:17",
"content": "at x=0",
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"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:37:59",
"content": "$ln(1+x) = \\sum_{n=0}^{\\infty} (-1)^{n-1} \\frac{x^{n}}{n}$",
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},
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"id": 968913932490244100,
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"timestamp": "04/27/2022 12:38:03",
"content": "**beanbeanjuice**",
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"id": 968914014023323600,
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"timestamp": "04/27/2022 12:38:22",
"content": "good",
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"timestamp": "04/27/2022 12:38:39",
"content": "so for ln(1+6x) its similar right",
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"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:38:45",
"content": "and i know that\n$ln(1+6x) = \\sum_{n=0}^{\\infty} (-1)^{n-1} \\frac{(6x)^{n}}{n}$",
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"author_name": "TeXit",
"timestamp": "04/27/2022 12:38:57",
"content": "**beanbeanjuice**",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:39:02",
"content": "good",
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:39:12",
"content": "would ijust multiply it by x^7?",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:39:15",
"content": "now we are just timesing that by $x^7$",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:39:16",
"content": "yep!!",
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"author_name": "TeXit",
"timestamp": "04/27/2022 12:39:17",
"content": "**iCaird**",
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"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:39:22",
"content": "is that really it???",
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"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/27/2022 12:39:22",
"content": "you can do it term by term",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:39:26",
"content": "yeah really",
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"content": "",
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:40:48",
"content": "is it because ln() can't be negative?",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:42:03",
"content": "you need to simplify the expression",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:42:12",
"content": "as a single power of x",
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"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/27/2022 12:42:19",
"content": "so there is a little bit of work to do",
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:42:25",
"content": "ah i see",
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"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:42:42",
"content": "why does simpliyfying it affect the domain?",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:43:38",
"content": "it shouldn't",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:43:53",
"content": "might be a quirk of whatever software is checking your answer",
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"content": "",
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"timestamp": "04/27/2022 12:44:46",
"content": "oh",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:44:57",
"content": "they want your answer to start from n=0",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:45:00",
"content": "so you need to reindex",
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:45:23",
"content": "oph i see",
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"timestamp": "04/27/2022 12:45:26",
"content": "because ln starts from n = 1",
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"timestamp": "04/27/2022 12:45:40",
"content": "hmm",
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:45:43",
"content": "i am not sure now",
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:46:03",
"content": "this is the answer apparently but i wanna know why 😭",
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:46:19",
"content": "oh because",
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"timestamp": "04/27/2022 12:46:20",
"content": "n = 1",
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"id": 968916025980645500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/27/2022 12:46:22",
"content": "aha yes you need to reindex for the reason you said",
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},
{
"id": 968916028589494300,
"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:46:22",
"content": "so you + 1",
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:46:41",
"content": "should i try my original answer",
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"id": 968916157979562000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/27/2022 12:46:53",
"content": "i would try the one starting from n=0",
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{
"id": 968916413655945200,
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"timestamp": "04/27/2022 12:47:54",
"content": "$\\sum_{n=0}^{\\infty} x^{7} \\cdot \\frac{(-1)^{n} \\cdot (6x)^{n+1}}{n+1}$",
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"id": 968916423646777300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/27/2022 12:47:56",
"content": "**beanbeanjuice**",
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"id": 968916526696656900,
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"timestamp": "04/27/2022 12:48:21",
"content": "although i dont know how they got",
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"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:48:27",
"content": "$(-1)^{n+2}$",
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"author_name": "TeXit",
"timestamp": "04/27/2022 12:48:30",
"content": "**beanbeanjuice**",
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"id": 968916629025091600,
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:48:45",
"content": "$(-1)^{n}$ is the same as $(-1)^{n+2}$ no?",
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"id": 968916639145922600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/27/2022 12:48:48",
"content": "**beanbeanjuice**",
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"id": 968916662072012800,
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"author_name": "iCaird",
"timestamp": "04/27/2022 12:48:53",
"content": "that is true yes",
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"id": 968916830997577700,
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"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:49:34",
"content": "got it right!",
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"timestamp": "04/27/2022 12:49:39",
"content": "well done!!",
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"id": 968916855605567500,
"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:49:39",
"content": "okay i see the quirks now of ln",
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},
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"id": 968916928561315800,
"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:49:57",
"content": "thank you so much for your help!\ni really aprpeciate it",
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},
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"id": 968917042738651100,
"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "04/27/2022 12:50:24",
"content": ".close",
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},
{
"id": 968917044160516100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 12:50:24",
"content": "Channel closed",
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}
] |
help-9
|
6c1b1b8db426449983638b61b88a79ad
|
199,615 |
[
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"id": 968927729544208500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 13:32:52",
"content": "Available help channel!",
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},
{
"id": 968928320664244200,
"author_id": 726107854573928400,
"author_name": "🌧ru",
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"content": "",
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"timestamp": "04/27/2022 13:35:14",
"content": "Pinned a message.",
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"author_id": 726107854573928400,
"author_name": "🌧ru",
"timestamp": "04/27/2022 13:35:42",
"content": "everything has base as 10",
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"id": 968928525136584700,
"author_id": 726107854573928400,
"author_name": "🌧ru",
"timestamp": "04/27/2022 13:36:02",
"content": "I don't know the way to approach the question, hint would do.",
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"id": 968930432831848600,
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"content": "consider viewing it as a quadratic in logx",
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"timestamp": "04/27/2022 13:51:02",
"content": "@🌧ru Has your question been resolved?",
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"timestamp": "04/27/2022 14:06:03",
"content": "Channel closed",
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}
] |
help-9
|
619c292160d84e5fa9d703f69906eb7e
|
199,616 |
[
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"timestamp": "04/27/2022 14:07:02",
"content": "Available help channel!",
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},
{
"id": 968937261754359800,
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"content": "Pinned a message.",
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"author_id": 701420767971246100,
"author_name": "siuuu",
"timestamp": "04/27/2022 14:10:52",
"content": "I’m stuck on part b",
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"id": 968937368272912500,
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"author_name": "siuuu",
"timestamp": "04/27/2022 14:11:10",
"content": "Any help would be greatly appreciated",
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"id": 968939373607407600,
"author_id": 701420767971246100,
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"timestamp": "04/27/2022 14:19:08",
"content": "for part a i got centre(5,-3) and radius root 45",
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"timestamp": "04/27/2022 14:25:21",
"content": "@Helpers",
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{
"id": 968942968893476900,
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"timestamp": "04/27/2022 14:33:25",
"content": "@Helpers",
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"id": 968944762814074900,
"author_id": 701420767971246100,
"author_name": "siuuu",
"timestamp": "04/27/2022 14:40:33",
"content": "@Helpers ........",
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{
"id": 968944926953988100,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/27/2022 14:41:12",
"content": "Yep gj",
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"id": 968945071309332500,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/27/2022 14:41:47",
"content": "Find where coordinates PQ",
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"id": 968945231611449300,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/27/2022 14:42:25",
"content": "Then you need to use that to find the center of $C_2$ and the radius (and with that information you have the circle)",
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"timestamp": "04/27/2022 14:42:28",
"content": "**Max..**",
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"timestamp": "04/27/2022 14:52:36",
"content": "how would i do that",
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"author_name": ".,..",
"timestamp": "04/27/2022 14:53:14",
"content": "You see",
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"content": "you have an equation",
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"timestamp": "04/27/2022 14:53:35",
"content": "do i sub in y=0",
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"timestamp": "04/27/2022 14:53:56",
"content": "guess so",
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"timestamp": "04/27/2022 14:54:49",
"content": "It cuts the x axis at these points and as you said y= 0 on the x axis so sub y =0 and find x",
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"timestamp": "04/27/2022 14:55:38",
"content": "i got my x values",
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"timestamp": "04/27/2022 14:56:12",
"content": "then?",
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"content": "@Max..",
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"timestamp": "04/27/2022 15:04:34",
"content": "i got the midpoint which is 5",
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"timestamp": "04/27/2022 15:04:40",
"content": "of P and Q",
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"author_name": "siuuu",
"timestamp": "04/27/2022 15:05:12",
"content": "which is the centre of c2 right?",
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"timestamp": "04/27/2022 15:05:16",
"content": "(5,0)",
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"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/27/2022 15:05:34",
"content": "Yep you got it",
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"timestamp": "04/27/2022 15:05:41",
"content": "Now we need radius",
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"timestamp": "04/27/2022 15:05:44",
"content": "just need radius yh",
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"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/27/2022 15:05:59",
"content": "what's the relationship between radius and diameter",
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"timestamp": "04/27/2022 15:06:08",
"content": "radius is half of diameter",
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"timestamp": "04/27/2022 15:06:16",
"content": "so radius is 2.5",
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"timestamp": "04/27/2022 15:06:26",
"content": "so r^2 = 6.25",
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"timestamp": "04/27/2022 15:06:41",
"content": "so final equation should be:",
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"author_name": "siuuu",
"timestamp": "04/27/2022 15:06:57",
"content": "(x^2-5)+y^2 = 6.25",
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"id": 968951417794605000,
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"timestamp": "04/27/2022 15:07:00",
"content": "right?",
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"id": 968952015101259800,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/27/2022 15:09:22",
"content": "👍",
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"timestamp": "04/27/2022 15:15:39",
"content": "thanks man",
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"author_name": "siuuu",
"timestamp": "04/27/2022 15:15:40",
"content": "appreciated",
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"timestamp": "04/27/2022 15:30:41",
"content": "@siuuu Has your question been resolved?",
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] |
help-9
|
61951bee2ae144a1ad9c156df89639bd
|
199,617 |
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"author_name": "dumbhuman",
"timestamp": "04/27/2022 15:45:50",
"content": "THATS 7TH GRADE MATH I THOUGHT THATS 6TH GRADE MATH (ik this is very random)",
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"timestamp": "04/27/2022 15:46:22",
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"author_name": "Blorks",
"timestamp": "04/27/2022 15:50:44",
"content": "Hello i need to now how we Can calcul the height of the cone and please help me to this exercice I want to know how i can do this",
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"content": ",rotate",
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"timestamp": "04/27/2022 15:52:28",
"content": "don't you have the eqaution@Blorks",
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"content": "The équation ? This is a geometry",
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"id": 968963736800997500,
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"timestamp": "04/27/2022 15:55:57",
"content": "pie(r)^2 * s.r.pie",
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"timestamp": "04/27/2022 15:56:03",
"content": "the formula",
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"content": "yes",
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"timestamp": "04/27/2022 15:56:20",
"content": "the formula I meant",
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"timestamp": "04/27/2022 15:56:35",
"content": "bro you shouldn't do the q for ppl",
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"timestamp": "04/27/2022 15:56:41",
"content": "rather help by explaining it",
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"id": 968963948177154200,
"author_id": 606107927278780500,
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"timestamp": "04/27/2022 15:56:47",
"content": "so they can do it in the future",
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"timestamp": "04/27/2022 15:56:55",
"content": "oh right i forgot sorry",
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"id": 968964000463339500,
"author_id": 606107927278780500,
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"timestamp": "04/27/2022 15:57:00",
"content": "not rude or anything",
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"id": 968964030775570400,
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"author_name": "superpro",
"timestamp": "04/27/2022 15:57:07",
"content": "just tryna help people out",
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"timestamp": "04/27/2022 16:10:12",
"content": "@Blorks Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
c28f19855d454f16991817627803ab7e
|
199,618 |
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"timestamp": "04/27/2022 20:33:09",
"content": "Available help channel!",
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"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:34:11",
"content": "Is my observation here correct?",
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"id": 969033808781402200,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:34:23",
"content": "Am I allowed to do this?",
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"id": 969033853031309300,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:34:34",
"content": "I cross-multiplied basically",
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"author_id": 444615533162135550,
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"timestamp": "04/27/2022 20:34:57",
"content": "And then *gauged* which side will be bigger",
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"content": "I'm setting it up to use the Limit Comparison Test",
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"content": "Or at least attempting",
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"content": ":bleak:",
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"timestamp": "04/27/2022 20:44:01",
"content": "you could instead consider that $n + 7 < n+7n = 8n$",
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"timestamp": "04/27/2022 20:44:03",
"content": "**iCaird**",
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"timestamp": "04/27/2022 20:44:46",
"content": "where did the 7n come from",
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"timestamp": "04/27/2022 20:45:30",
"content": "because $7 < 7n$",
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"content": "**iCaird**",
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"content": "because $n \\geq 1$",
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"content": "**iCaird**",
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"content": "okay i guess it should be $\\leq$ and not $<$",
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"content": "can I just say",
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"content": "is it true that $n+7 \\leq n$?",
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"content": "**iCaird**",
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"timestamp": "04/27/2022 20:48:15",
"content": "oh the other way around",
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"timestamp": "04/27/2022 20:48:23",
"content": "I confused my signs omg",
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"timestamp": "04/27/2022 20:49:09",
"content": "but then this isn't very helpful cuz I don't think I can tell if the Bn is convergent or not",
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"content": "yeah you want to bound from above",
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"content": "https://discord.com/channels/@me/937232439015780352/969033856109924382",
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"timestamp": "04/27/2022 20:49:58",
"content": "use this: $n + 7 \\leq n+7n = 8n$",
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"timestamp": "04/27/2022 20:50:00",
"content": "**iCaird**",
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"author_name": "bellatookurman",
"timestamp": "04/27/2022 20:50:26",
"content": "the following place value chart was used too solve a division problem",
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"timestamp": "04/27/2022 20:50:46",
"content": "@bellatookurman open your own help channel, this one is occupied",
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"timestamp": "04/27/2022 20:51:51",
"content": "I thought choosing the Bn was supposed to be something that I take away from the An",
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"timestamp": "04/27/2022 20:51:56",
"content": "So it doesn't really matter then",
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"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:52:10",
"content": "I can do whatever I want to Bn as long as it's similar?",
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"timestamp": "04/27/2022 20:52:29",
"content": "not sure what you mean",
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"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:52:47",
"content": "you came up with 8n and it's not in the An",
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"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:52:59",
"content": "so you put something there that didn't exist",
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"timestamp": "04/27/2022 20:53:14",
"content": "thats fine im just saying that A_n is less than it",
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"timestamp": "04/27/2022 20:53:19",
"content": "im not changing A_n",
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"timestamp": "04/27/2022 20:53:23",
"content": "right yeah",
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"timestamp": "04/27/2022 20:53:44",
"content": "the whole point of comparison test is to show the series youre given is less than some series you know converges",
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"timestamp": "04/27/2022 20:53:55",
"content": "makes sense",
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"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:54:10",
"content": "okay so how do we check whether it converges or diverges",
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"timestamp": "04/27/2022 20:54:26",
"content": "$\\frac{8n}{(n+5)^5}$",
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"timestamp": "04/27/2022 20:54:29",
"content": "**Denver Crossbourne**",
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"timestamp": "04/27/2022 20:54:35",
"content": "Is this what you chose for B_n?",
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"timestamp": "04/27/2022 20:54:43",
"content": "not quite we can do better",
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"timestamp": "04/27/2022 20:55:07",
"content": "$(n+5)^5 > n^5$ agree?",
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"id": 969039032879308900,
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"author_name": "TeXit",
"timestamp": "04/27/2022 20:55:09",
"content": "**iCaird**",
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"timestamp": "04/27/2022 20:55:39",
"content": "yes",
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"author_name": "iCaird",
"timestamp": "04/27/2022 20:56:31",
"content": "so that $\\frac{1}{(n+1)^5} \\leq \\frac{1}{n^5}$",
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"timestamp": "04/27/2022 20:56:57",
"content": "**iCaird**",
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"timestamp": "04/27/2022 20:57:06",
"content": "yeah I see it",
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"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:57:20",
"content": "the denominator is bigger so the whole expression is smaller",
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"timestamp": "04/27/2022 20:57:34",
"content": "so now $a_n \\leq \\frac{8n}{n^5} = \\frac{8}{n^4}$",
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"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:57:36",
"content": "then what do we do with the numerator?",
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"id": 969039701568782300,
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"timestamp": "04/27/2022 20:57:48",
"content": "**iCaird**",
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"timestamp": "04/27/2022 20:58:01",
"content": "oh",
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"id": 969039779360563200,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:58:07",
"content": "thats amazing",
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},
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"id": 969039932226158600,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:58:43",
"content": "I see it now",
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},
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"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:58:51",
"content": "thank you so much!",
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"timestamp": "04/27/2022 20:58:55",
"content": "youre welcome!",
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"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 20:59:25",
"content": ".close",
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{
"id": 969040109427126300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 20:59:25",
"content": "Channel closed",
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}
] |
help-9
|
dcb9ecdad7a240b2a060922fbac08eb0
|
199,619 |
[
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"timestamp": "04/27/2022 21:00:26",
"content": "Available help channel!",
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},
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"id": 969040521999843300,
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"content": "How do I do this?",
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"timestamp": "04/27/2022 21:01:20",
"content": "Can’t find much on this rule online that makes sense to me",
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"id": 969042612126367700,
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"timestamp": "04/27/2022 21:09:22",
"content": "found a vid nvm",
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{
"id": 969042659261972600,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/27/2022 21:09:33",
"content": "https://www.youtube.com/watch?v=-AW6Y1bL4KU",
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"timestamp": "04/27/2022 21:09:39",
"content": "Try this guy",
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},
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"id": 969042699355320300,
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"author_name": "ricecracker",
"timestamp": "04/27/2022 21:09:43",
"content": "oh ok thanks",
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"timestamp": "04/27/2022 21:24:43",
"content": "@ricecracker Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
7ea99879861b4a6ea29789c748a49a26
|
199,620 |
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}
] |
help-9
|
1f59c5ab17024afa8cdde600c1d79cb9
|
199,621 |
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"id": 956370157175967700,
"author_id": 331628693640314900,
"author_name": "pinion pinape",
"timestamp": "03/23/2022 21:53:33",
"content": "https://gyazo.com/26f95850fb7ef216eba7e0f2c512d1d8 my reasoning is as it approaches one side it goes to 0 and as it approahces another its 5 so the limit does not exist is my reasonsing right? if its wrong can someone explain to me why",
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"content": "Pinned a message.",
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"timestamp": "03/23/2022 22:08:34",
"content": "@pinion pinape Has your question been resolved?",
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"author_name": "Swas.py",
"timestamp": "03/23/2022 22:16:44",
"content": "yes you are correct",
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"timestamp": "03/23/2022 22:16:50",
"content": "lhl != rhl",
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"author_name": "Swas.py",
"timestamp": "03/23/2022 22:16:57",
"content": "so the limit doesn't exist",
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},
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"timestamp": "03/23/2022 22:23:34",
"content": "Channel closed",
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}
] |
help-9
|
c696dd7643f84f5a8184bb31c602ee91
|
199,622 |
[
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"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 21:25:49",
"content": "Available help channel!",
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},
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"id": 969047872362393600,
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"content": "So, this is really the part I'm stuck on.\nI'm not sure if this is a fine enough statement since it's given that |f(x) - L| <= K|x - c|, and I was given the hint that delta should equal epsilon/K",
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"timestamp": "04/27/2022 21:34:46",
"content": "And, to make epsilon greater than |x-c| but to get rid of K wouldn't we need to divide all of the inequalities?",
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},
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"id": 969049170151362600,
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"author_name": "VexedRumble",
"timestamp": "04/27/2022 21:35:26",
"content": "Like so?",
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"author_id": 339242499870556160,
"author_name": "VexedRumble",
"timestamp": "04/27/2022 21:37:41",
"content": "But that doesn't feel right with me",
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},
{
"id": 969050814855389200,
"author_id": 339242499870556160,
"author_name": "VexedRumble",
"timestamp": "04/27/2022 21:41:58",
"content": "Oh wait, I think I might've figured it out, though feedback will still be appreciated!",
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"id": 969051326187208700,
"author_id": 339242499870556160,
"author_name": "VexedRumble",
"timestamp": "04/27/2022 21:44:00",
"content": "does this make sense?",
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"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 21:59:00",
"content": "@VexedRumble Has your question been resolved?",
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"author_name": "VexedRumble",
"timestamp": "04/27/2022 22:00:58",
"content": "@Helpers",
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},
{
"id": 969057862783496300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/27/2022 22:09:58",
"content": "Correct",
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},
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"id": 969057959470579700,
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"author_name": "VexedRumble",
"timestamp": "04/27/2022 22:10:21",
"content": "Great! Thank you!",
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},
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"id": 969058023404347500,
"author_id": 339242499870556160,
"author_name": "VexedRumble",
"timestamp": "04/27/2022 22:10:37",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 22:10:37",
"content": "Channel closed",
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}
] |
help-9
|
30411dc455104436a07ca5cfe02122f5
|
199,623 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 22:11:37",
"content": "Available help channel!",
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},
{
"id": 969058493493555200,
"author_id": 748342931055968300,
"author_name": "yoghurt",
"timestamp": "04/27/2022 22:12:29",
"content": "i have no idea how to do this",
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},
{
"id": 969058495544578000,
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"author_name": "yoghurt",
"timestamp": "04/27/2022 22:12:48",
"content": "i tried expanding then entering the 4th term and nothing",
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},
{
"id": 969060479945285600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/27/2022 22:20:22",
"content": "what exactly did you enter",
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"timestamp": "04/27/2022 22:27:48",
"content": "@yoghurt Has your question been resolved?",
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"id": 969062557153378300,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "04/27/2022 22:28:37",
"content": "the binomial theorem would be easier to use here",
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"id": 969062708597125200,
"author_id": 748342931055968300,
"author_name": "yoghurt",
"timestamp": "04/27/2022 22:29:14",
"content": "with what numbers",
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"id": 969062753870418000,
"author_id": 748342931055968300,
"author_name": "yoghurt",
"timestamp": "04/27/2022 22:29:24",
"content": "also is n only a coefficient",
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"author_name": "yoghurt",
"timestamp": "04/27/2022 22:30:17",
"content": "would I do 12C4",
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"id": 969064679861256300,
"author_id": 748342931055968300,
"author_name": "yoghurt",
"timestamp": "04/27/2022 22:37:04",
"content": ".close",
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},
{
"id": 969064681681608700,
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"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 22:37:04",
"content": "Channel closed",
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}
] |
help-9
|
41e4a86696c34a9490b9c1ab19596ca1
|
199,624 |
[
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"timestamp": "04/27/2022 23:36:45",
"content": "Available help channel!",
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},
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"id": 969080304511893500,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:39:09",
"content": "hahah help",
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"id": 969080399340929000,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:39:31",
"content": "what do you understand?",
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"id": 969080436431134700,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:39:40",
"content": "nothing",
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{
"id": 969080485349326800,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:39:52",
"content": "ok",
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},
{
"id": 969080621492211800,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:40:24",
"content": "do you see the link between 2,8,18... and the sentence above it?",
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"id": 969080671475732500,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:40:36",
"content": "well yes",
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},
{
"id": 969080774244585500,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:41:01",
"content": "All I know is a sequence",
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},
{
"id": 969080855286919200,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:41:20",
"content": "But I don't get where is the doubling part",
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},
{
"id": 969081081754181600,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:42:14",
"content": "2= 2*1²",
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},
{
"id": 969081117221195800,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:42:23",
"content": "8= 2*2²",
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},
{
"id": 969081146010923000,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:42:29",
"content": "18=2*3²",
"attachments": [],
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},
{
"id": 969081624841052200,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:44:24",
"content": "isn't 2*3² = 12?",
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},
{
"id": 969081727270146200,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:44:48",
"content": "3²=3*3",
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},
{
"id": 969081757393629200,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:44:55",
"content": "2x3²=2x3x3",
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},
{
"id": 969081833092427900,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:45:13",
"content": "oh'",
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},
{
"id": 969081972217495600,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:45:46",
"content": "now you should be able to answer i think",
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},
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"id": 969081972523663400,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:45:46",
"content": "thank you",
"attachments": [],
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},
{
"id": 969082018329669600,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:45:57",
"content": "write them so i can check",
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},
{
"id": 969082030182780900,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:46:00",
"content": "but it should be good",
"attachments": [],
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},
{
"id": 969082032619679900,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:46:01",
"content": "ok",
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},
{
"id": 969082285062238200,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:47:01",
"content": "a) 2x4x4 = 32\nb)2x8x8 = 128?",
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},
{
"id": 969082515493113900,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:47:56",
"content": "what does it mean by 8th term in the sequence?",
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},
{
"id": 969083019740733400,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:49:56",
"content": "its right",
"attachments": [],
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},
{
"id": 969083061989945300,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:50:06",
"content": "Ohh ok thanks",
"attachments": [],
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},
{
"id": 969083091362648000,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:50:13",
"content": "8th term means its the 8th if you count them",
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},
{
"id": 969083102309806100,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:50:16",
"content": "starting from 2",
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},
{
"id": 969083111830855700,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:50:18",
"content": "as the first",
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},
{
"id": 969083113563099100,
"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:50:18",
"content": "ooo",
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},
{
"id": 969083136258482300,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:50:24",
"content": "2 is the first",
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},
{
"id": 969083158756724700,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:50:29",
"content": "8 the second",
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},
{
"id": 969083184316809200,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/27/2022 23:50:35",
"content": "18 the third",
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"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:50:42",
"content": "ohh",
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},
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"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:50:44",
"content": "okok",
"attachments": [],
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"author_id": 875264975822798800,
"author_name": "Toaster",
"timestamp": "04/27/2022 23:50:46",
"content": ".close",
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"id": 969083232484196400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/27/2022 23:50:47",
"content": "Channel closed",
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}
] |
help-9
|
1e93dfc90c7b4b80825e657c24d7962a
|
199,625 |
[
{
"id": 969146971526938600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 04:04:03",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 969149274120151000,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:13:12",
"content": "Need help",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/969149272874430494/IMG_3970.jpg",
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"id": 969149276380876800,
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"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 04:13:13",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:13:31",
"content": "This is the example given",
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 04:16:42",
"content": "Okay, so what's your doubt?",
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"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:17:18",
"content": "I dont know how to do the squaring each term part",
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},
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"id": 969150622144274400,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 04:18:34",
"content": "For a GP, you can define the sequence as \n\na , ar, ar², ar³..... \nRight?",
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"id": 969150873588600800,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:19:34",
"content": "I dont know what gp is",
"attachments": [],
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},
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"id": 969150897600987100,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 04:19:39",
"content": "Now if you square each term, you'll get \na², a²r², a²r⁴, a²r⁶,... And so on",
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},
{
"id": 969150940613582800,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/28/2022 04:19:50",
"content": "GP = Geometric progression",
"attachments": [],
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},
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 04:19:52",
"content": "Geometric progression",
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"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:19:53",
"content": "Ok",
"attachments": [],
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 04:20:32",
"content": "So you know that the sum is a/(1-r) for an infinite GP",
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},
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"id": 969151288476569600,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:21:13",
"content": "And (a/1-r)^2 for the squared?",
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},
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"id": 969151325059305500,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/28/2022 04:21:21",
"content": "No",
"attachments": [],
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},
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"id": 969151425907130400,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/28/2022 04:21:45",
"content": "The \"a\" for the second series is a² and the \"r\" for the second series is r²",
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"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:22:06",
"content": "So a^2/1-r^2?",
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 04:22:10",
"content": "Nope, the first term is a² for the second series and the r is r², since you've squared each term",
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"author_name": "Arya 1503",
"timestamp": "04/28/2022 04:22:24",
"content": "Exactly",
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"id": 969151938547580900,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:23:48",
"content": "I do this?",
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"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/28/2022 04:24:00",
"content": "Yes",
"attachments": [],
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},
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"id": 969152083313975300,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:24:22",
"content": "And with that, i can find the 1st term and a?",
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},
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"id": 969152193666121700,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:24:48",
"content": "And r*",
"attachments": [],
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},
{
"id": 969152214683766800,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/28/2022 04:24:53",
"content": "With two equations with two variables, yes. You can find a and r",
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},
{
"id": 969152270866460700,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:25:07",
"content": "Ooh nice",
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},
{
"id": 969152275417268400,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:25:08",
"content": "Ok",
"attachments": [],
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},
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"id": 969152503058948100,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 04:26:02",
"content": "In case you get 2 values for 'r', remember that -1 < r < 1",
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},
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"id": 969152594192760800,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:26:24",
"content": "Ok",
"attachments": [],
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"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:26:31",
"content": "Tnx for the help",
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},
{
"id": 969152637813534700,
"author_id": 867015056381968400,
"author_name": "hahahatdog",
"timestamp": "04/28/2022 04:26:34",
"content": ".close",
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},
{
"id": 969152639289921500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 04:26:35",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5af24c473e1c49fcb2e68118e027e95d
|
199,626 |
[
{
"id": 969152892890124300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 04:27:35",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 969156133086453800,
"author_id": 571668340318404600,
"author_name": "Ashique",
"timestamp": "04/28/2022 04:40:28",
"content": "What is the power set of {1,2}?\nWhat I know power set of elements to the power of 2.\nSo 2 ^ 2 = 4\nSo there will be 4 sets of that 2 elements.\nWhat are they?\n{{1,2},{2,1},0}\nWhat will be the last one 😦",
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},
{
"id": 969156134881591300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 04:40:28",
"content": "Pinned a message.",
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"author_id": 571668340318404600,
"author_name": "Ashique",
"timestamp": "04/28/2022 04:42:51",
"content": "Got it, it will be this: { { }, { 1 }, { 2 }, { 1 , 2 } }",
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"id": 969156768292831200,
"author_id": 967401328538157000,
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"timestamp": "04/28/2022 04:42:59",
"content": "Yes",
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},
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"author_id": 571668340318404600,
"author_name": "Ashique",
"timestamp": "04/28/2022 04:43:04",
"content": ".close",
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},
{
"id": 969156790447140900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 04:43:04",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
3b95a3a2fc4244c3a45036153ba68e19
|
199,627 |
[
{
"id": 969158658258772000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 04:50:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 969161051356692500,
"author_id": 670020143908257800,
"author_name": "BЯΣΛD",
"timestamp": "04/28/2022 05:00:00",
"content": "",
"attachments": [
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"id": 969161053487378400,
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"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 05:00:01",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 969161115600842800,
"author_id": 670020143908257800,
"author_name": "BЯΣΛD",
"timestamp": "04/28/2022 05:00:16",
"content": "yo",
"attachments": [],
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},
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"id": 969161426226786300,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 05:01:30",
"content": "yo",
"attachments": [],
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"name": "BЯΣΛD",
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"id": 969161555054825500,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 05:02:00",
"content": "Do you know what product means?",
"attachments": [],
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"author_id": 670020143908257800,
"author_name": "BЯΣΛD",
"timestamp": "04/28/2022 05:02:09",
"content": "nope",
"attachments": [],
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},
{
"id": 969161654241742800,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 05:02:24",
"content": "It means multiplication",
"attachments": [],
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},
{
"id": 969161681173372900,
"author_id": 670020143908257800,
"author_name": "BЯΣΛD",
"timestamp": "04/28/2022 05:02:30",
"content": "o",
"attachments": [],
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},
{
"id": 969161713721147400,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 05:02:38",
"content": "Now check out the options",
"attachments": [],
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},
{
"id": 969161755710329000,
"author_id": 670020143908257800,
"author_name": "BЯΣΛD",
"timestamp": "04/28/2022 05:02:48",
"content": "so A?",
"attachments": [],
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},
{
"id": 969161876862820400,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 05:03:17",
"content": "Yup, assuming that e is number of employees and s is the average salary",
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"author_id": 670020143908257800,
"author_name": "BЯΣΛD",
"timestamp": "04/28/2022 05:03:34",
"content": "bet",
"attachments": [],
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},
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"id": 969162044400099300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/28/2022 05:03:57",
"content": "doesn't matter multiplication is commutative :sotrue:",
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},
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"author_id": 670020143908257800,
"author_name": "BЯΣΛD",
"timestamp": "04/28/2022 05:04:52",
"content": ".close",
"attachments": [],
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},
{
"id": 969162278287065100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 05:04:53",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
fcfc63694dc24e3388f709bfc5bc36c8
|
199,628 |
[
{
"id": 969163578038952000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 05:10:03",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 969164868798259200,
"author_id": 571668340318404600,
"author_name": "Ashique",
"timestamp": "04/28/2022 05:15:10",
"content": "List all permutations of set {1,3,4}\nShould I maintain the permutation law here: n! / (n-m)!\nIf yes then say here n=3 but what is m=?\nAnd then how to find out the list of that set?",
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"id": 969164870597623800,
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"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 05:15:11",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 05:21:21",
"content": "m is also 3, so essentially you're doing \nn!",
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/28/2022 05:22:10",
"content": "Finding the permutations is manual work or you can write code in some programming language to find it",
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"author_id": 571668340318404600,
"author_name": "Ashique",
"timestamp": "04/28/2022 05:25:09",
"content": "Hmm, say we can permutate it in 6 ways:\n[1,3,4]\n[1,4,3]\n[4,1,3]\n[4,3,1]\n[3,1,4]\n[3,4,1]\nSo I just need to get the 6 ways we can write it",
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"id": 969167729300996200,
"author_id": 571668340318404600,
"author_name": "Ashique",
"timestamp": "04/28/2022 05:26:32",
"content": "So if n=3, m=3 then \n3! / (3-3)! \n3! / 0 😦\nInfinite error",
"attachments": [],
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},
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"id": 969167804647497700,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/28/2022 05:26:50",
"content": "0! ≠ 0",
"attachments": [],
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},
{
"id": 969167851082625000,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "04/28/2022 05:27:01",
"content": "0! = 1",
"attachments": [],
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},
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"id": 969167923384033400,
"author_id": 571668340318404600,
"author_name": "Ashique",
"timestamp": "04/28/2022 05:27:19",
"content": "A ha, then it will be 6 as for 3!",
"attachments": [],
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},
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"id": 969168093026869200,
"author_id": 571668340318404600,
"author_name": "Ashique",
"timestamp": "04/28/2022 05:27:59",
"content": ".close",
"attachments": [],
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},
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"id": 969168094629089300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 05:28:00",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
cfeb4b0ea2c0411d846b039aeeee9e91
|
199,629 |
[
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"id": 969170910777053200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 05:39:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 969175021677330600,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "04/28/2022 05:55:31",
"content": "i need to solve |x+1|=x+1\nyou can see right away that x>=-1 but we need to do it in 2 of the ways we learned by like definition of absolute values so you have x+1>=0 and x+1<0 and then in first case |x+1|=x+1 and second |x+1|=-(x+1) and so on\nnow i need to solve it also using a second method which is graphical and im not sure what to do there just draw x+1 (the part inside the || not the part on the left side) and see that there are 2 intervals x>=-1 and x<0, idk what else to do about graphical method",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 05:55:32",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "04/28/2022 06:06:24",
"content": "the \"graphical\" method we did isnt drawing the graph, its used when you have equations of absolute values, you find idk how you say it in english, the points where graph cuts the x axis so here its x=-1 and you just draw a line passing through so you get multiple intervals, idk why we gotta use it for this one\nalso we did another graphical method for example when you have |x|=7 its just the distance so x=+-7 maybe the teacher meant that idk",
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"id": 969177762659192800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/28/2022 06:06:25",
"content": "you more or less need to go through the first way anyway,\n(unless you're using computer assistance)",
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},
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"id": 969177924190216300,
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:07:03",
"content": "but we need to do both ways and do the question on a paper because she might collect it...",
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},
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:07:29",
"content": "i ll send how i did it 1 sec",
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},
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:08:26",
"content": "",
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"fileName": "20220428_120811.jpg",
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:08:27",
"content": "on the bottom its just an explanation that you could see its x>=-1 right away",
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:08:39",
"content": "@ramonov what do you thin",
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"author_name": "ramonov",
"timestamp": "04/28/2022 06:09:42",
"content": "for the graph of \ny = |x + 1|\nyou'd have a v shape",
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:10:05",
"content": "yes like i said, we draw the inside part of the graph just to see the intervals",
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:10:17",
"content": "its used when you equations of multipe absolute values",
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"author_name": "ramonov",
"timestamp": "04/28/2022 06:10:20",
"content": "and you can state where it overlaps with y= x + 1",
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},
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"timestamp": "04/28/2022 06:10:53",
"content": "For example this",
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:11:03",
"content": "not drawing the actual graph",
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},
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"id": 969179032165957600,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "04/28/2022 06:11:27",
"content": "you just have x axis with point in which the graph cuts x axis",
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:11:33",
"content": "and from there you get intervals",
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"author_name": "ramonov",
"timestamp": "04/28/2022 06:11:42",
"content": "ideally you should draw the actual graph",
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},
{
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"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "04/28/2022 06:12:02",
"content": "and in each intervals things inside || are either left as it is if its positive or you take - that number",
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},
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"id": 969180667600584700,
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"content": "",
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"author_name": "ChuFta",
"timestamp": "04/28/2022 06:20:45",
"content": "@Helpers",
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},
{
"id": 969185151152193500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 06:35:46",
"content": "@ChuFta Has your question been resolved?",
"attachments": [],
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{
"id": 969187253672878200,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "04/28/2022 06:44:07",
"content": "ig this",
"attachments": [],
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},
{
"id": 969187264674553900,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "04/28/2022 06:44:10",
"content": ",rotate",
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},
{
"id": 969187269728669700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/28/2022 06:44:11",
"content": "",
"attachments": [
{
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"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "04/28/2022 06:47:57",
"content": "so is this correct, the picture you rotated?",
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"author_name": "kinglacto",
"timestamp": "04/28/2022 06:50:38",
"content": "yeah",
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},
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 07:17:57",
"content": "@ChuFta Has your question been resolved?",
"attachments": [],
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"timestamp": "04/28/2022 07:47:57",
"content": "Channel closed",
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}
] |
help-9
|
ff43478a075b4da9870ce3049b0f9798
|
199,630 |
[
{
"id": 969257233550540800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 11:22:12",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 969259301468262400,
"author_id": 915921887400439800,
"author_name": "DeFnOtAyUsH",
"timestamp": "04/28/2022 11:30:25",
"content": "Here's the question:\n\nQuestion->What is your 95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people)(must go through this before attempting- [ https://forum.effectivealtruism.org/posts/AKxKR4CeakyBsGFoH/digital-people-would-be-an-even-bigger-deal ] ? Explain your reasoning by giving a roughly one-sentence justification for each important step of your reasoning.\n\nA 95% credible interval means that you believe there is a 95% chance that thetrue value will fall within your interval. If I were 95% confident that the number of books in a library was between 100 and 500, then my 95% credible interval would be 100-500.",
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},
{
"id": 969259303733170200,
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"timestamp": "04/28/2022 11:30:25",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 969259301468262400,
"channelId": 486844875632017400,
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"author_id": 915921887400439800,
"author_name": "DeFnOtAyUsH",
"timestamp": "04/28/2022 11:39:41",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 969265409993875500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 11:54:41",
"content": "@DeFnOtAyUsH Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 12:24:48",
"content": "@DeFnOtAyUsH Has your question been resolved?",
"attachments": [],
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"author_id": 691583730942214100,
"author_name": "villarrubi",
"timestamp": "04/28/2022 13:14:04",
"content": "can someone help me please? i have found b=0, but dont know how to finish",
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"timestamp": "04/28/2022 13:14:13",
"content": "@Helpers",
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},
{
"id": 969289469524049900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/28/2022 13:30:18",
"content": "this channel's taken. read #❓how-to-get-help",
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"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 13:50:18",
"content": "@DeFnOtAyUsH Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "04/28/2022 16:30:15",
"content": "@DeFnOtAyUsH Has your question been resolved?",
"attachments": [],
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"timestamp": "04/28/2022 20:38:04",
"content": "@DeFnOtAyUsH Has your question been resolved?",
"attachments": [],
"mentions": [
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"name": "DeFnOtAyUsH",
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{
"id": 969413096974209000,
"author_id": 841688618690019300,
"author_name": "Ñera De La Loma",
"timestamp": "04/28/2022 21:41:33",
"content": "I need help with both (i) and (ii), i get from i that they are girls are counted as one so wouldn't that be 7!",
"attachments": [
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"author_id": 841688618690019300,
"author_name": "Ñera De La Loma",
"timestamp": "04/28/2022 21:41:38",
"content": "so confused",
"attachments": [],
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},
{
"id": 969422549853290500,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/28/2022 22:19:06",
"content": "@Ñera De La Loma treat 3 girls as 1 block, you get total 8 blocks(7 boys and 1 girl block). So you get 8!. But the girls inside the block can be arranged in 3! ways",
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"id": 969422564776620000,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/28/2022 22:19:10",
"content": "So you get 8! * 3!",
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},
{
"id": 969447131490426900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/28/2022 23:56:47",
"content": "You just helped someone who broke the rules my guy",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/28/2022 23:56:51",
"content": "#❓how-to-get-help",
"attachments": [],
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"id": 969447290546815000,
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"author_name": "Sup?",
"timestamp": "04/28/2022 23:57:25",
"content": "Yeah I noticed that later",
"attachments": [],
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},
{
"id": 969448056707743700,
"author_id": 956973920991473700,
"author_name": "ymme",
"timestamp": "04/29/2022 00:00:28",
"content": "what did he do?",
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"author_name": "Umbraleviathan",
"timestamp": "04/29/2022 00:05:48",
"content": "This is still @DeFnOtAyUsH 's help channel",
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"id": 969449454589579300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/29/2022 00:06:01",
"content": "If you need help, post in a vacant session",
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},
{
"id": 969449479281459200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/29/2022 00:06:07",
"content": "Not an occupied one",
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},
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"id": 969449520297549800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/29/2022 00:06:17",
"content": "Asking this simply means you haven't read the rules",
"attachments": [],
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/29/2022 00:06:29",
"content": "I'd advise doing so to avoid getting caught in abetting something",
"attachments": [],
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},
{
"id": 969450008413864000,
"author_id": 956973920991473700,
"author_name": "ymme",
"timestamp": "04/29/2022 00:08:13",
"content": "just be nice. he must be asking about a test question. I was just passing thru.",
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"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 00:38:04",
"content": "Channel closed",
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}
] |
help-9
|
01b2dce573c54b74aff6f6cc0ccefdd5
|
199,631 |
[
{
"id": 969544280022589400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 06:22:49",
"content": "Available help channel!",
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},
{
"id": 969552570223849500,
"author_id": 329571312240558100,
"author_name": "ImFlower",
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"timestamp": "04/29/2022 06:55:46",
"content": "Pinned a message.",
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{
"id": 969552614951895000,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "04/29/2022 06:55:56",
"content": "Is there a way to make it turn x=0.5 here in exponential equation or i fucked up?",
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},
{
"id": 969554390182658000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/29/2022 07:03:00",
"content": "What happens if you plug in x=0.5?",
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},
{
"id": 969555011208089600,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "04/29/2022 07:05:28",
"content": "Right, thanks🥲",
"attachments": [],
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"id": 969555032284491800,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "04/29/2022 07:05:33",
"content": ".close",
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},
{
"id": 969555033840574500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 07:05:33",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
2760ba82f2064eb7a7282281b5e18d90
|
199,632 |
[
{
"id": 956384004146339800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 22:48:35",
"content": "Available help channel!",
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},
{
"id": 956384058324160500,
"author_id": 849018821628657800,
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"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 23:03:48",
"content": "@KXG Has your question been resolved?",
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},
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"id": 956391610663456900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 23:18:48",
"content": "Channel closed",
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] |
help-9
|
667c4a528b8246c48b7e5bc04a22dfca
|
199,633 |
[
{
"id": 969555286681587700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 07:06:33",
"content": "Available help channel!",
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"reference": null
},
{
"id": 969556398239273100,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:10:58",
"content": "In a triangle XYZ, XY=XZ angle YXZ=90 degree. If the equation of YZ is 2x-3y+10 and coordinates of the point X are (2,-1), find the equation of equal sides.\n\nAnyone know how to solve this? Its a Coordinate Geometry question pretty sure",
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"id": 969556399891808300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 07:10:59",
"content": "Pinned a message.",
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"id": 969556896350605300,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:12:57",
"content": "Is ur question correct?",
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},
{
"id": 969557099807912000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:13:46",
"content": "Either it should be XY = YZ or angle ZXY = 90°",
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},
{
"id": 969557334990921700,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:14:42",
"content": "Hmmm don't know if its correct but thats the question we had got in our todays exam",
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"id": 969557538527932400,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:15:30",
"content": "I think the triangle doesn’t exist then",
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},
{
"id": 969557722938896400,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:16:14",
"content": "How can hypotenuse and a side in a right angle be equal unless the third side is 0 , in that case triangle doesn’t exist",
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},
{
"id": 969557734406099000,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:16:17",
"content": "Wait how? If X has 90 degree angle and YZ (which is the hypotenuse) and XY are equal then angle XZY will also be 90 degree won't it?",
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"id": 969557829943972000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:16:40",
"content": "But Y is 90° right?",
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},
{
"id": 969557865956266000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:16:48",
"content": "Bruh",
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},
{
"id": 969557917374251000,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:17:01",
"content": "O xd it was a typo on my part sorry",
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},
{
"id": 969557953927606400,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:17:09",
"content": "Its angle YXZ=90",
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},
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"id": 969558003667857400,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:17:21",
"content": "Hmm thats what I asked earlier",
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},
{
"id": 969558128242851800,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:17:51",
"content": "So it can be solved?",
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},
{
"id": 969558149512200200,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:17:56",
"content": "Yes",
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},
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"id": 969559074138116100,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:21:36",
"content": "Ye how do we actually do it? I got 2 equations of the sides. I first tried to find the equation of XY by using the equation of YZ and the 45 degree angle between them.\n\n Then used the 90 degree angle a between XY and XZ and the slope of XY to find the equation of XZ. But I am not sure if what i did was correct",
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{
"id": 969560629155348500,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:27:47",
"content": "Umm hello anyone there?",
"attachments": [],
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},
{
"id": 969560798257111000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:28:27",
"content": "Hi",
"attachments": [],
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},
{
"id": 969560809812426800,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:28:30",
"content": "Okay",
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},
{
"id": 969560837150892000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:28:37",
"content": "What you did seems correct",
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},
{
"id": 969560870344622100,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:28:45",
"content": "Just that the second part",
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{
"id": 969560952120959000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:29:04",
"content": "It can be easily obtained",
"attachments": [],
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},
{
"id": 969561008995700700,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:29:18",
"content": "O",
"attachments": [],
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},
{
"id": 969561066910670800,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:29:31",
"content": "Because we know there will be 2 line whose angle is 45° from the given equation of line",
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"id": 969561157847367700,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:29:53",
"content": "So no need to do 90° rotation",
"attachments": [],
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},
{
"id": 969561335564226600,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:30:35",
"content": "But the thing you did is also perfectly fine",
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},
{
"id": 969561418938601500,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:30:55",
"content": "O. So even though both XY and XZ are equal they will still have different equations?",
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},
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"id": 969561460256682000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/29/2022 07:31:05",
"content": "Yes",
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},
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"id": 969561528565104600,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:31:21",
"content": "Ooo thanks alot for your help",
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},
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"id": 969561607157993500,
"author_id": 302281963455250400,
"author_name": "Sujanks7",
"timestamp": "04/29/2022 07:31:40",
"content": ".close",
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},
{
"id": 969561609464844300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 07:31:41",
"content": "Channel closed",
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}
] |
help-9
|
f72b8ae529f74c0dbda3f66b11b53950
|
199,634 |
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"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 07:32:41",
"content": "Available help channel!",
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},
{
"id": 969567335545471000,
"author_id": 745054042606141400,
"author_name": "beanie",
"timestamp": "04/29/2022 07:54:26",
"content": "Can an integral be used to calculate, say position, if all you know is velocity?",
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},
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"id": 969567337500008400,
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"content": "Pinned a message.",
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"id": 969567463136182300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/29/2022 07:54:56",
"content": "yes",
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},
{
"id": 969567517817319400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/29/2022 07:55:09",
"content": "that's how it's done",
"attachments": [],
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},
{
"id": 969567976082796500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/29/2022 07:56:59",
"content": "it's mostly tautological to say that you can",
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},
{
"id": 969568413481590800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/29/2022 07:58:43",
"content": "addition of integers can be used to calculate say, a sum",
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},
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"id": 969568542506754000,
"author_id": 745054042606141400,
"author_name": "beanie",
"timestamp": "04/29/2022 07:59:14",
"content": "Ok cool thanks",
"attachments": [],
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},
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"id": 969572318500229100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 08:14:14",
"content": "@beanie Has your question been resolved?",
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"timestamp": "04/29/2022 08:14:34",
"content": "Channel closed",
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}
] |
help-9
|
dfb9e70afea74608b0fe6a21126facfe
|
199,635 |
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"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 08:15:34",
"content": "Available help channel!",
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},
{
"id": 969578345127903200,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:38:11",
"content": "help",
"attachments": [],
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},
{
"id": 969578349318004700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 08:38:12",
"content": "Pinned a message.",
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"id": 969578377277239400,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:38:19",
"content": "Find the zeros of f(x)=x^3−5x^2+6x.",
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},
{
"id": 969578590289162200,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:39:09",
"content": "Hey",
"attachments": [],
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},
{
"id": 969578707293438000,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:39:37",
"content": "factorized results: x(x-2)(x-3)",
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},
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"id": 969578851590090800,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:40:12",
"content": "idk how to go on after factorized it",
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},
{
"id": 969578853204889600,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:40:12",
"content": "Yep",
"attachments": [],
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},
{
"id": 969578869545893900,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:40:16",
"content": "That's right",
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},
{
"id": 969578872880369700,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:40:17",
"content": "Ohh",
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"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:40:20",
"content": "You're pretty much done (you've done the hard work)",
"attachments": [],
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"id": 969578921450410000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:40:28",
"content": "Do you know what it means when it asks for the zeros?",
"attachments": [],
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},
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"id": 969579184412299400,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:41:31",
"content": "it means x(x-2)(x-3)=0?",
"attachments": [],
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"id": 969579210240852000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:41:37",
"content": "Correct",
"attachments": [],
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},
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"id": 969579268008980500,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:41:51",
"content": "Right, now just think about what it means for a product to equal zero",
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"id": 969579296815464400,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:41:58",
"content": "Say a*b=0",
"attachments": [],
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},
{
"id": 969579359306412000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:42:13",
"content": "It means that a or b ***must*** be zero",
"attachments": [],
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},
{
"id": 969579451736264700,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:42:35",
"content": "yes",
"attachments": [],
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},
{
"id": 969579452558352400,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:42:35",
"content": "If both of them were non-zero, their product cannot be zero",
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"id": 969579482203705300,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:42:42",
"content": "So apply that to the problem above",
"attachments": [],
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},
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"id": 969579550159831000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:42:58",
"content": "if x(x-2)(x-3) = 0, what can we say about each of those factors?",
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{
"id": 969579772801876000,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:43:51",
"content": "all has connections with x",
"attachments": [],
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},
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"id": 969579921355706400,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:44:27",
"content": "?",
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"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:44:43",
"content": "Yes, but more importaintly, we can say that x=0 or x-2=0 or x-3=0",
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"id": 969579992939892700,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:44:44",
"content": "Right",
"attachments": [],
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},
{
"id": 969580040096465000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:44:55",
"content": "Because one of these factors must be zero to give a product of zero",
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{
"id": 969580061411917800,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:45:00",
"content": "Right?",
"attachments": [],
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},
{
"id": 969580150041759700,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:45:21",
"content": "yes",
"attachments": [],
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},
{
"id": 969580173504688100,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:45:27",
"content": "unless its the same number",
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},
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"id": 969580232619217000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:45:41",
"content": "Huh?",
"attachments": [],
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{
"id": 969580366048395300,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:46:13",
"content": "nevermind i messed up",
"attachments": [],
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},
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"id": 969580430514864100,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:46:28",
"content": "all good",
"attachments": [],
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},
{
"id": 969580525742354400,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:46:51",
"content": "but from this, we can rearrange the equations to say that x=0 or x=2 or x=3",
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},
{
"id": 969580553332473900,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:46:57",
"content": "yep",
"attachments": [],
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},
{
"id": 969580626174947300,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:47:15",
"content": "So, these are the zeros of f(x)",
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},
{
"id": 969580729061236900,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:47:39",
"content": "As each of these x values will make f(x)=0",
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},
{
"id": 969580869943713800,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:48:13",
"content": "yes",
"attachments": [],
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},
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"id": 969580924486426600,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:48:26",
"content": "Epic, you're done then!",
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},
{
"id": 969580998989844500,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:48:44",
"content": "f(x)=(3,2,0)?",
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"id": 969581122159771800,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:49:13",
"content": "Umm, not exactly. you usually just say that the zeros of f(x) are x=0, 2, 3",
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},
{
"id": 969581235968036900,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:49:40",
"content": "So in this case there are 3 zeros of f(x)",
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},
{
"id": 969581435461722200,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:50:28",
"content": "oh",
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},
{
"id": 969581471553704000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:50:36",
"content": "Simply put, the zeros of a function f(x) is the set of x values that make f(x) = 0",
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},
{
"id": 969581637711057000,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:51:16",
"content": "i know the answer",
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},
{
"id": 969581658787418100,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:51:21",
"content": "dont know how to write it",
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},
{
"id": 969581672368590800,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:51:24",
"content": "xD",
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},
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"id": 969581686847320000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:51:28",
"content": "Hahah",
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},
{
"id": 969581693361082400,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:51:29",
"content": "Yeah",
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},
{
"id": 969581795727269900,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:51:54",
"content": "Just FYI, this is often called the *null factor law*",
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},
{
"id": 969581894704431200,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:52:17",
"content": "so i just write like this",
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},
{
"id": 969581942355947500,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:52:29",
"content": "(Zeros of f(x) are x=0,2,3)",
"attachments": [],
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},
{
"id": 969581976057163900,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:52:37",
"content": "Yep",
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},
{
"id": 969582004897194000,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:52:43",
"content": "That's perfectly fine!",
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},
{
"id": 969582034118914000,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:52:50",
"content": "thanks",
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},
{
"id": 969582044336238600,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:52:53",
"content": "Np",
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},
{
"id": 969582120366403600,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:53:11",
"content": "math aint that hard",
"attachments": [],
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},
{
"id": 969582155648872400,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:53:19",
"content": "you just gonna know how the logic works",
"attachments": [],
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},
{
"id": 969582198468517900,
"author_id": 419779991308468200,
"author_name": "Lachlan",
"timestamp": "04/29/2022 08:53:30",
"content": "Eyyy! Exactly",
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},
{
"id": 969582242571616300,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:53:40",
"content": "like in different worlds",
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},
{
"id": 969582256765153300,
"author_id": 757587117340623000,
"author_name": "Drunk",
"timestamp": "04/29/2022 08:53:43",
"content": ".close",
"attachments": [],
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},
{
"id": 969582258551918600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 08:53:44",
"content": "Channel closed",
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}
] |
help-9
|
dac0db76215b469b9ddac9c0388b0ff4
|
199,636 |
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{
"id": 969582511753662500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 08:54:44",
"content": "Available help channel!",
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},
{
"id": 969584210723635200,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:01:29",
"content": "Are you maybe able to notice a mistake in this definition if it exists\nI am not sure if everything in here is valid\n**For set R we say that it is dense due to infinite numbers being between a,b Elements of R, a!=b, a<x<b (a>x>b), x Element of R**",
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{
"id": 969584212694941800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 09:01:30",
"content": "Pinned a message.",
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{
"id": 969584944940728300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/29/2022 09:04:24",
"content": "Is R here $\\bR$?",
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{
"id": 969584955862708400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/29/2022 09:04:27",
"content": "**iCaird**",
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"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:04:42",
"content": "Yes",
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},
{
"id": 969585062205067300,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:04:52",
"content": "X is one of those numbers in between",
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{
"id": 969585138004541600,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:05:10",
"content": "a+b/2 = X for example",
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"id": 969585170141307000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/29/2022 09:05:18",
"content": "What's your definition of dense?",
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{
"id": 969585318468673500,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:05:53",
"content": "Dense as in, it has infinite numbers in between each two numbers",
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},
{
"id": 969585324944666600,
"author_id": 785095916049793000,
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"timestamp": "04/29/2022 09:05:55",
"content": "a and b",
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"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:05:57",
"content": "a!=b",
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},
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:06:24",
"content": "So when you reread that sentence above, is there any invalid thing in it",
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"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:07:52",
"content": "Note:There does not have to be a mistake",
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:07:57",
"content": "I am just wondering if there is",
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"timestamp": "04/29/2022 09:08:34",
"content": "That isnt a definition of density, there are infinitely many real numbers between 0 and 1 but [0,1] isnt dense in $\\mathbb{R}$, you need to talk about the larger set to think about what the dense subsets are",
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"timestamp": "04/29/2022 09:08:37",
"content": "**Kimbomanjaro**",
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"timestamp": "04/29/2022 09:09:23",
"content": "Excluding anything else",
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"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:09:27",
"content": "Just in that sentence itself",
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"timestamp": "04/29/2022 09:09:29",
"content": "No special cases",
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:09:42",
"content": "Let's say it's a huge set",
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:09:57",
"content": "Hypothetically",
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"timestamp": "04/29/2022 09:10:14",
"content": "If your definition of dense is that there are infinite elements between any two non equal elements, then R is dense in that sense",
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"timestamp": "04/29/2022 09:10:30",
"content": "Yes but that sentence itself this part for example",
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"timestamp": "04/29/2022 09:10:36",
"content": "Just note that dense has a more general meaning in maths that may not be equivalent to yours",
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"author_id": 785095916049793000,
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"timestamp": "04/29/2022 09:10:38",
"content": "**a<x<b (a>x>b)**",
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"timestamp": "04/29/2022 09:10:41",
"content": "This for example",
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:10:45",
"content": "Anything wrong here or?",
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"id": 969586573240848500,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:10:53",
"content": "it can be < < or > >",
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"id": 969586584343179300,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:10:55",
"content": "Right?",
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"id": 969586824945205200,
"author_id": 548260513600110600,
"author_name": "KB0",
"timestamp": "04/29/2022 09:11:53",
"content": "If a real interval (a,b) is dense then yes the real interval (b,a) is dense, since they have the same closure.",
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:12:12",
"content": "Aha i see",
"attachments": [],
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},
{
"id": 969587048807804900,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:12:46",
"content": "So no matter how you look at it (a,b) (b,a) is the same for this statement?",
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},
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"id": 969587085927391200,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:12:55",
"content": "**a<x<b (a>x>b)** this applies?",
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"id": 969587225169891300,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:13:28",
"content": "I mean \n1+2/2 = 2+1/2",
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},
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"id": 969587263107375100,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:13:37",
"content": "So i assume it is correct?",
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},
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"id": 969587405613064300,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:14:11",
"content": "Sorry i may sound dumb, i am not matematician(Trying to clear my doubts with these simple minded questions)",
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"author_name": "KB0",
"timestamp": "04/29/2022 09:15:30",
"content": "Let's set it up a bit. If we have a set $S\\subset\\bR$ and an interval $(a,b)=\\{x\\in\\bR \\mid a<x<b\\}$, if $(a,b)$ is dense in $S$ then the closure of $(a,b)$ is $S$, thus $(b,a)$ is also dense, because they have the same closure.",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/29/2022 09:15:33",
"content": "**Kimbomanjaro**",
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"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:16:07",
"content": "By (b,a) you think of a>x>b?",
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"timestamp": "04/29/2022 09:16:14",
"content": "Yep!",
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
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"content": "Example (2,1)",
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"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:16:16",
"content": "Aha",
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},
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:16:18",
"content": "Understood",
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},
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"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:16:35",
"content": "Thank you very much, appreciate the explanation and sorry if i bothered you",
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},
{
"id": 969588021982806000,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:16:38",
"content": "With subquestions",
"attachments": [],
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},
{
"id": 969588033332601000,
"author_id": 548260513600110600,
"author_name": "KB0",
"timestamp": "04/29/2022 09:16:41",
"content": "Not at all!",
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},
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"id": 969588062487195600,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:16:48",
"content": "🙏🏻",
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},
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"id": 969588109698285600,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:16:59",
"content": "I will close the channel now, thank you a world both of you again",
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},
{
"id": 969588116002336800,
"author_id": 785095916049793000,
"author_name": "Lord Nutkin of the Oak Forest",
"timestamp": "04/29/2022 09:17:00",
"content": ".close",
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},
{
"id": 969588118074302500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 09:17:01",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
84b54141c61742d495ffc80e0048e384
|
199,637 |
[
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"timestamp": "04/29/2022 09:31:05",
"content": "Available help channel!",
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},
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"id": 969593457381371900,
"author_id": 906843042613448700,
"author_name": "Murky™",
"timestamp": "04/29/2022 09:38:14",
"content": "HELLO",
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{
"id": 969593459470119000,
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"id": 969594856647311500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/29/2022 09:43:48",
"content": "what have you tried?",
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"id": 969595406323445800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/29/2022 09:45:59",
"content": "*Doesn't know how to do pythag* 💀",
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"timestamp": "04/29/2022 09:46:05",
"content": "Find the side lengths",
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"id": 969597315075690600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 09:53:34",
"content": "@Murky™ Has your question been resolved?",
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"timestamp": "04/29/2022 10:08:34",
"content": "Channel closed",
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}
] |
help-9
|
a418541fb14947bc97b7d73fd97770a7
|
199,638 |
[
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"id": 969608273982521300,
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"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 10:37:06",
"content": "Available help channel!",
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},
{
"id": 969608631735697500,
"author_id": 406800318991564800,
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"content": "Pinned a message.",
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"id": 969608661775286300,
"author_id": 406800318991564800,
"author_name": "Purpsand",
"timestamp": "04/29/2022 10:38:39",
"content": "can i get help with this?",
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},
{
"id": 969608704376852500,
"author_id": 406800318991564800,
"author_name": "Purpsand",
"timestamp": "04/29/2022 10:38:49",
"content": "ive been going insane trying to figure this oout, when it seems really simple",
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},
{
"id": 969608774761476100,
"author_id": 406800318991564800,
"author_name": "Purpsand",
"timestamp": "04/29/2022 10:39:06",
"content": "to me there can only be on closed walk which is by going in triangle?",
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"id": 969612550591381500,
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"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 10:54:06",
"content": "@Purpsand Has your question been resolved?",
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"id": 969613198242238500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/29/2022 10:56:41",
"content": "whats your definition of closed walk?",
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{
"id": 969614244800757800,
"author_id": 406800318991564800,
"author_name": "Purpsand",
"timestamp": "04/29/2022 11:00:50",
"content": "where the walk starts from the top vertex and ends up back at the original vertex",
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"id": 969618232132657300,
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"timestamp": "04/29/2022 11:16:41",
"content": "i guess not a lot of people know about graphs then",
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"timestamp": "04/29/2022 11:25:12",
"content": ".close",
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"timestamp": "04/29/2022 11:25:12",
"content": "Channel closed",
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}
] |
help-9
|
9ab1da07dd0e4673865299a27f7540fe
|
199,639 |
[
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_name": "dldh06",
"timestamp": "04/29/2022 11:39:00",
"content": "$\\cos(60) \\neq \\frac{\\sqrt{3}}{2}$",
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"timestamp": "04/29/2022 11:39:03",
"content": "**dldh06**",
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"author_name": "Brotally",
"timestamp": "04/29/2022 11:41:56",
"content": "oh wait cos would be =-1/2\nand sin would be -sqrt(3)/2",
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"timestamp": "04/29/2022 11:41:57",
"content": "?",
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"id": 969624621810868200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/29/2022 11:42:04",
"content": "Yes",
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"id": 969624742460006400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/29/2022 11:42:33",
"content": "Well, using your triangle, you drew, there wouldn't be a a negative sign",
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"id": 969624936677244900,
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"author_name": "Brotally",
"timestamp": "04/29/2022 11:43:19",
"content": "but its in Q3 and x and y are negative there",
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"author_name": "Brotally",
"timestamp": "04/29/2022 11:43:29",
"content": "sin and cos are also negative?",
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"id": 969625153925419000,
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"author_name": "dldh06",
"timestamp": "04/29/2022 11:44:11",
"content": "I said, using the triangle you drew because all the values you wrote on that triangle are positive",
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"author_name": "Brotally",
"timestamp": "04/29/2022 11:45:40",
"content": "so the answer would be <-45/2 , -45sqrt(3) / 2 >",
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"timestamp": "04/29/2022 11:46:18",
"content": "Yes",
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"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "04/29/2022 11:47:25",
"content": "thanks for the help",
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"author_name": "Brotally",
"timestamp": "04/29/2022 11:47:28",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
d5257652dd264bf9ad6531837e72b7ea
|
199,640 |
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"id": 969676936710328300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/29/2022 15:09:57",
"content": "I have shown that if $a,b,c$ lie on the the circle, then the dot product between AH and BC is 0",
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"timestamp": "04/29/2022 15:10:00",
"content": "**azeem321**",
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"author_name": "<><><>",
"timestamp": "04/29/2022 15:10:09",
"content": "But I am not sure how to address the $h=a$ thing",
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"timestamp": "04/29/2022 15:10:12",
"content": "**azeem321**",
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"timestamp": "04/29/2022 15:16:37",
"content": "",
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"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:23:56",
"content": "@<><><> Could you explain what is orthocentre?",
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"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:24:18",
"content": "I don't know what it means in English exactly.",
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"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/29/2022 15:24:30",
"content": "its one of the centres of a triangle",
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"author_name": "<><><>",
"timestamp": "04/29/2022 15:24:38",
"content": "i think the one where the three altitudes intersect",
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"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:24:44",
"content": "Okay",
"attachments": [],
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},
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"id": 969680729850146800,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/29/2022 15:25:01",
"content": "but i dont think u need to know too much about it for this problem",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 15:40:01",
"content": "@<><><> Has your question been resolved?",
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"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:43:39",
"content": "@<><><> If <BAC is 90 degrees, then H would fall on A (since it's where the altitudes meet) but AH will be 0 so that's the one case where it's not perpendicular.",
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"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:44:09",
"content": "I mean, I don't know if you could say 0 is perpendicular to something",
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"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:44:11",
"content": "but either way",
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"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/29/2022 15:47:15",
"content": "Yeah. I said something like this",
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"id": 969686353421926400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/29/2022 15:47:22",
"content": "But i wasn't sure if it was correct line of thinking",
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"id": 969686457767837700,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:47:47",
"content": "why not",
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"id": 969687060808073200,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:50:11",
"content": "Look in DMs",
"attachments": [],
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},
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"id": 969687083969044600,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "04/29/2022 15:50:16",
"content": "I sent you a desmos graph",
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},
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"id": 969687255293767700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/29/2022 15:50:57",
"content": "thanks",
"attachments": [],
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 15:51:41",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
9037da5ce7f84322be6cec87691dd66d
|
199,641 |
[
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"id": 969694461380669400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 16:19:35",
"content": "Available help channel!",
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},
{
"id": 969707436317491200,
"author_id": 204775776539639800,
"author_name": "azavier",
"timestamp": "04/29/2022 17:11:09",
"content": "can someone walk me through how they would solve this system of equations?\n```\n1. a + b + c + d + e = 1\n\n2. 32a + 16b + 8c + 4d + 2e = 17\n\n3. 243a + 81b + 27c + 9d + 3e = 98\n\n4. 1024a + 256b + 64c + 16d + 4e = 354\n\n5. 3125a + 625b + 125c + 25d + 5e = 979\n```\ni got it after a while, but it took me too long 😦 so i want to see how someone would usually solve a system of 5 equations.",
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"id": 969707439056375800,
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"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 17:11:09",
"content": "Pinned a message.",
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{
"id": 969708405478531100,
"author_id": 937886555710836900,
"author_name": "maeriil",
"timestamp": "04/29/2022 17:15:00",
"content": "i would use matrix and row reduce it",
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},
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"id": 969708649381519500,
"author_id": 204775776539639800,
"author_name": "azavier",
"timestamp": "04/29/2022 17:15:58",
"content": "but how do i do that..?",
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"id": 969708696563224600,
"author_id": 204775776539639800,
"author_name": "azavier",
"timestamp": "04/29/2022 17:16:09",
"content": "google?",
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},
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"id": 969708801093681300,
"author_id": 204775776539639800,
"author_name": "azavier",
"timestamp": "04/29/2022 17:16:34",
"content": "ahh i found a video",
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},
{
"id": 969708828415385700,
"author_id": 204775776539639800,
"author_name": "azavier",
"timestamp": "04/29/2022 17:16:41",
"content": "thank you, this will probably help",
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},
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"id": 969709181005353100,
"author_id": 937886555710836900,
"author_name": "maeriil",
"timestamp": "04/29/2022 17:18:05",
"content": "lol good luck",
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"id": 969712604710862800,
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"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 17:31:41",
"content": "@azavier Has your question been resolved?",
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"timestamp": "04/29/2022 17:32:12",
"content": "Channel closed",
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}
] |
help-9
|
fbccc549dff848dc90d95c594965542c
|
199,642 |
[
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"id": 969712988934262900,
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"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 17:33:12",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 969717584998068200,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 17:51:28",
"content": "So i was watching a video were he went from the first lane to the second lane yet I couldn't figure out how he did it",
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"timestamp": "04/29/2022 17:51:29",
"content": "Pinned a message.",
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"id": 969717696285532200,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 17:51:55",
"content": "can perhaps someone add like a middle lane to make it more understandable/explain it to me",
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{
"id": 969717820692762600,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/29/2022 17:52:24",
"content": "the second term he multiplied the denomator by Sqrt(1-2x) top and bottom so there is a mutual denominator",
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"id": 969717974556606600,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 17:53:01",
"content": "If he multiplied by it should'nt there be no more Sqrt(1-2x) on the bottom?",
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"id": 969718125765492700,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 17:53:37",
"content": "Like i cannot understand why they are both above Sqrt(1-2x) if he multiplied by it",
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"id": 969718585691885600,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 17:55:27",
"content": "Should'nt it like just disappear altogether and become f(x) = -x^2 + x - (2x-1)(1-2x)",
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"id": 969721603078369300,
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"author_name": "3lyfox",
"timestamp": "04/29/2022 18:07:26",
"content": "the sqrt stays cuz he just did",
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"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 18:09:21",
"content": "so for example if itt was (2x-1)(sqrt(1-2x))/3 then the outcome would've been -3x^2 + 3x - (2x-1)(1-2x)/3(sqrt(1-2x))?",
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"id": 969723611789291500,
"author_id": 904458641732698100,
"author_name": "3lyfox",
"timestamp": "04/29/2022 18:15:25",
"content": "yes?(not a big math solver but its basically like so hope its easier to understand)",
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"id": 969724315664777300,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 18:18:13",
"content": "Thank you so much mr slyfox ❤️",
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},
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"id": 969724609308024800,
"author_id": 904458641732698100,
"author_name": "3lyfox",
"timestamp": "04/29/2022 18:19:23",
"content": "just a desperate student trying to help :happy_cry_cat:",
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"id": 969724669898936300,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 18:19:37",
"content": "it also works with a/b + c/1 right?",
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"id": 969724690748809300,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 18:19:42",
"content": "thats probably my final question",
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"id": 969725795885006800,
"author_id": 904458641732698100,
"author_name": "3lyfox",
"timestamp": "04/29/2022 18:24:06",
"content": "yes since a/b is given to you and c also and to get a common b for both usually you will do c/1 since its the same as just the c and have a x 1 and b x c",
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"id": 969726440645992400,
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"author_name": "Ari .",
"timestamp": "04/29/2022 18:26:40",
"content": "good night lad",
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"id": 969726450431295500,
"author_id": 240110950231965700,
"author_name": "Ari .",
"timestamp": "04/29/2022 18:26:42",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 18:26:43",
"content": "Channel closed",
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] |
help-9
|
969e361eb37c4c44b1e95a8db7fb151c
|
199,643 |
[
{
"id": 956391863605157900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 23:19:49",
"content": "Available help channel!",
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},
{
"id": 956395937444536400,
"author_id": 586972641575829600,
"author_name": "natex5a",
"timestamp": "03/23/2022 23:36:00",
"content": "Let p be prime. Characterize all positive integers that have exactly p positive divisors?",
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},
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"id": 956395941420761100,
"author_id": 805217272087838700,
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"timestamp": "03/23/2022 23:36:01",
"content": "Pinned a message.",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/23/2022 23:39:25",
"content": "Use prime factorization",
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},
{
"id": 956397231576080400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/23/2022 23:41:09",
"content": "Let $n=\\prod_{1 \\leq j \\leq r} p_{j}^{α_{j}}$ be the prime factorization of n, then by condition we obtain that $\\prod_{j} (α_{j}+1)=p$",
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},
{
"id": 956397246520381600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/23/2022 23:41:12",
"content": "**Cogwheels of the mind**",
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"author_id": 826318983413366800,
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"timestamp": "03/23/2022 23:41:30",
"content": "Therefore r=1",
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},
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"id": 956397374559883300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/23/2022 23:41:43",
"content": "α=α_1=p-1",
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"id": 956397673156579300,
"author_id": 586972641575829600,
"author_name": "natex5a",
"timestamp": "03/23/2022 23:42:54",
"content": "I dont understand the second portion, which is by condtion....",
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"id": 956397798792785900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/23/2022 23:43:24",
"content": "Any divisor m of n, m is of the form",
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"author_id": 826318983413366800,
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"timestamp": "03/23/2022 23:43:45",
"content": "$m=\\prod_{1 \\leq j \\leq r} p_{j}^{β_{j}}$",
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},
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"id": 956397898944368600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/23/2022 23:43:48",
"content": "**Cogwheels of the mind**",
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"timestamp": "03/23/2022 23:44:03",
"content": "Where 0<=β_j <=α_j",
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"timestamp": "03/23/2022 23:44:19",
"content": "So α_j +1 many choices of β_j",
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},
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"author_name": "natex5a",
"timestamp": "03/23/2022 23:44:59",
"content": "Im slowly getting it. Will try to internalise it first! Thank you :-))",
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"id": 956398247725912000,
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"author_name": "natex5a",
"timestamp": "03/23/2022 23:45:11",
"content": "Wont close this yet!",
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"id": 956399247320813600,
"author_id": 586972641575829600,
"author_name": "natex5a",
"timestamp": "03/23/2022 23:49:09",
"content": "how do i express the part on pdt(aj+1)=p normally",
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"timestamp": "03/23/2022 23:49:15",
"content": "not used to notations yet",
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"id": 956399499067134100,
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"timestamp": "03/23/2022 23:50:09",
"content": "I don’t know what you mean",
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"timestamp": "03/23/2022 23:50:14",
"content": "Like without Π?",
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"id": 956399616482484200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/23/2022 23:50:37",
"content": "(α_1 +1)(α_2 +1)…(α_r +1)=p",
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"timestamp": "03/23/2022 23:51:18",
"content": "So n must be of the form q^(p-1) for a prime number q",
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"timestamp": "03/23/2022 23:55:55",
"content": "AH OK",
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"author_name": "natex5a",
"timestamp": "03/23/2022 23:56:01",
"content": "GOT IT THANK U",
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"id": 956400997071216600,
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"timestamp": "03/23/2022 23:56:06",
"content": "Np",
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"timestamp": "03/23/2022 23:56:11",
"content": ".close",
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},
{
"id": 956401019254870100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 23:56:12",
"content": "Channel closed",
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}
] |
help-9
|
a4a1c6bea2a4491db94cceab1f21d29c
|
199,644 |
[
{
"id": 969726705449193500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 18:27:43",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 969728243072663700,
"author_id": 695707205051088900,
"author_name": "Percival",
"timestamp": "04/29/2022 18:33:49",
"content": "The first screenshot is the correct answer but i had another approach. Obviously you cant just simplify because of the - therefore i tried to do it the way seen in screenshot 3. But my final result is way off and i have no idea why",
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"timestamp": "04/29/2022 18:48:50",
"content": "@Percival Has your question been resolved?",
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"timestamp": "04/29/2022 18:49:13",
"content": "@Helpers",
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},
{
"id": 969732273995915300,
"author_id": 266701848969216030,
"author_name": "opfromthestart",
"timestamp": "04/29/2022 18:49:50",
"content": "What is f(x)?",
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},
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"id": 969732534831296500,
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"timestamp": "04/29/2022 18:50:53",
"content": "my question is more why my simplification doesn't work",
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},
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"id": 969732618570592300,
"author_id": 695707205051088900,
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"timestamp": "04/29/2022 18:51:13",
"content": "is not given",
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"timestamp": "04/29/2022 18:53:55",
"content": "In the second image, you cancel out a $(e^x-e^{-x})$ on the right side of the top with a $(e^x+e^{-x})$ on the bottom, which is illegal. In the third picture, you change the denominator in the second term from $(e^x+e^{-x})^2$ to $(e^x-e^{-x})^2$.",
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"id": 969733314263015600,
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"timestamp": "04/29/2022 18:53:58",
"content": "**opfromthestart**",
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"timestamp": "04/29/2022 18:55:18",
"content": "ohh yeah sorry should be (e^x+e^[-x])^2",
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"author_id": 695707205051088900,
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"timestamp": "04/29/2022 18:57:00",
"content": "but yeah it makes sense",
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"timestamp": "04/29/2022 18:57:59",
"content": ".close",
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"timestamp": "04/29/2022 18:57:59",
"content": "Channel closed",
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}
] |
help-9
|
e483e12be35b4b2097cc1cd9ca54c9e3
|
199,645 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/29/2022 20:15:20",
"content": "Available help channel!",
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},
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"id": 969767585455411300,
"author_id": 802359272725151900,
"author_name": "Le Duck",
"timestamp": "04/29/2022 21:10:09",
"content": "Hello, I have a question about set operation, I understand that K is between 1 and infinite but what I understood is that if k is infinitely large then 1/k will be infinitely small so that the intersection of the infinitely many intervals is (0, 0)? I highly doubt that I am correct so can anyone please help? thanks!",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/29/2022 21:11:04",
"content": "Just {0}",
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},
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"id": 969767943443447800,
"author_id": 802359272725151900,
"author_name": "Le Duck",
"timestamp": "04/29/2022 21:11:35",
"content": "so... what i understood was right?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/29/2022 21:15:40",
"content": "There is nothing to be understood here. Just show it by definition that this intersection is {0}. Like it contains 0, for the other direction, show by contradiction that it can’t contain another non-zero real number x",
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},
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"timestamp": "04/29/2022 21:25:21",
"content": "got it, thanks!",
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"id": 969771473822691300,
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"author_name": "Le Duck",
"timestamp": "04/29/2022 21:25:36",
"content": ".close",
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"id": 969771475504607200,
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"timestamp": "04/29/2022 21:25:37",
"content": "Channel closed",
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] |
help-9
|
ef25bf5e0db644f5bca12fe10c86011e
|
199,646 |
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"timestamp": "04/30/2022 00:14:37",
"content": "Available help channel!",
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"id": 969814804237779100,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/30/2022 00:17:47",
"content": "Should the answer be A,D and C?",
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"content": "Pinned a message.",
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"id": 969815981620871200,
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"author_name": "Swastik",
"timestamp": "04/30/2022 00:22:28",
"content": "its not A",
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"timestamp": "04/30/2022 00:22:28",
"content": "No",
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"timestamp": "04/30/2022 00:23:01",
"content": "X=0 is a vertical line, means infinite slope, not 0",
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"timestamp": "04/30/2022 00:23:12",
"content": "Ok",
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"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "04/30/2022 00:23:21",
"content": "If it would be parallel to x axis then it would have 0 slope",
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"timestamp": "04/30/2022 00:23:45",
"content": "How about option D?",
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"timestamp": "04/30/2022 00:23:47",
"content": ",w plot x=0",
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"timestamp": "04/30/2022 00:23:49",
"content": "Results provided by WolframAlpha",
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"id": 969816514515570700,
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"timestamp": "04/30/2022 00:24:35",
"content": "D isn't true either",
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"id": 969816529518616700,
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"timestamp": "04/30/2022 00:24:38",
"content": "C is correct",
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"author_name": "Jun♾",
"timestamp": "04/30/2022 00:24:56",
"content": "Is D not true because it has a y-int of 0?",
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"timestamp": "04/30/2022 00:25:35",
"content": "Ok I get it now",
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"id": 969816789464776700,
"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "04/30/2022 00:25:40",
"content": "Intercept is where line cuts x or y axis and it's conpetely overlapping with y axis so it's y intercept isn't 0",
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"timestamp": "04/30/2022 00:25:51",
"content": "Yeah",
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"author_name": "dldh06",
"timestamp": "04/30/2022 00:26:20",
"content": "Also to point out, it's a multiple choice question meaning normally there is one correct answer, not multiple",
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"author_name": "dldh06",
"timestamp": "04/30/2022 00:26:46",
"content": "Unless it states in the question that there are multiple answers",
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"author_name": "Jun♾",
"timestamp": "04/30/2022 00:26:50",
"content": "Yeah it’s just that I had a doubt on the other 3 but yeah",
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"timestamp": "04/30/2022 00:26:56",
"content": "Right",
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"timestamp": "04/30/2022 00:27:15",
"content": "Ok thanks",
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},
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"author_name": "Jun♾",
"timestamp": "04/30/2022 00:27:26",
"content": ".close",
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},
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"id": 969817233872257000,
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"content": "Channel closed",
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] |
help-9
|
2e1f5ee08344492d97eda488661cb55e
|
199,647 |
[
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"timestamp": "04/30/2022 01:35:26",
"content": "Available help channel!",
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},
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"id": 969834808425467900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/30/2022 01:37:16",
"content": "hi, I need help with this questions. I tried understand it, but everything is confusing me",
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"timestamp": "04/30/2022 01:37:17",
"content": "Pinned a message.",
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"timestamp": "04/30/2022 01:47:56",
"content": "@Deleted User do you understand anything yet?",
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"timestamp": "04/30/2022 01:48:16",
"content": "basically it's saying \nsame volume, different dimensions",
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"timestamp": "04/30/2022 01:48:54",
"content": "so let's figure out volume of water",
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"content": "yes, the basics I know",
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"timestamp": "04/30/2022 01:49:39",
"content": "in the first tank, we can see it as 11 * 10 * 18 which is equal to 1980",
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"timestamp": "04/30/2022 01:50:28",
"content": "now that same volume is transferred to a new container with volume of 12 * 11 * *h* where *h* is the height of the water in that tank",
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"timestamp": "04/30/2022 01:50:53",
"content": "we know that 12 * 11 * *h* is equal to 1980 since we have the same volume of water",
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"timestamp": "04/30/2022 01:51:05",
"content": "therefore now solve for the height of water in second tank",
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"timestamp": "04/30/2022 01:56:06",
"content": "oh",
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"timestamp": "04/30/2022 01:58:16",
"content": "any more questions or are you gonna close the channel",
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"timestamp": "04/30/2022 01:58:48",
"content": "still have quite a bit",
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"content": "okay well ask",
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"timestamp": "04/30/2022 02:00:20",
"content": "so the answer is 1980 divide 12 = 165cm square\n165 divide 11 = 15cm",
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"content": "if those calculations are correct, then that would be right",
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"timestamp": "04/30/2022 02:02:36",
"content": "this is the second one. Same thing I tried to do it before but those fractions and units confused me.",
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"content": "zoom in more please",
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"timestamp": "04/30/2022 02:04:46",
"content": "so what's the volume of liquid",
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"timestamp": "04/30/2022 02:05:24",
"content": "10litre",
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"timestamp": "04/30/2022 02:06:42",
"content": "the container is 10x4x2=80cm cube",
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"author_name": "Harreh",
"timestamp": "04/30/2022 02:07:27",
"content": "do ou know how much Voume is occupied by 80 cm",
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"timestamp": "04/30/2022 02:15:47",
"content": "you mean cube root 80?",
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"timestamp": "04/30/2022 02:16:37",
"content": "no, how much water can fit in a cube that is 80cm^3",
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"timestamp": "04/30/2022 02:22:28",
"content": "80 divide by 100 = 0.8 (1 litre = 1000cm^3)",
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"content": "@Deleted User Has your question been resolved?",
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"timestamp": "04/30/2022 02:57:04",
"content": "@Deleted User",
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"timestamp": "04/30/2022 02:57:08",
"content": "Can I help?",
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"timestamp": "04/30/2022 02:57:13",
"content": "yes please",
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"timestamp": "04/30/2022 02:57:36",
"content": "Ok so 1 litre stores how much volume?",
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"timestamp": "04/30/2022 02:58:56",
"content": "Please tell fast, darren",
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"timestamp": "04/30/2022 03:00:07",
"content": "@Deleted User",
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"timestamp": "04/30/2022 03:05:35",
"content": "1000cm cube",
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"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "04/30/2022 03:06:21",
"content": "Yes so 10 litre=?",
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"author_name": "Deleted User",
"timestamp": "04/30/2022 03:06:42",
"content": "10 thousand cm cube",
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"author_name": "HillBill",
"timestamp": "04/30/2022 03:07:01",
"content": "Great",
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"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "04/30/2022 03:07:35",
"content": "Now we know this 10000 cm square cube of liquid is transferred into some glasses",
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"id": 969857572561621000,
"author_id": 831493327974301700,
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"timestamp": "04/30/2022 03:07:44",
"content": "Correct?",
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"author_name": "HillBill",
"timestamp": "04/30/2022 03:08:27",
"content": "So let the number of glasses be 'n'",
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"timestamp": "04/30/2022 03:08:54",
"content": "Can you form an equation now??",
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"timestamp": "04/30/2022 03:10:03",
"content": "You gotta reply fast.",
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"timestamp": "04/30/2022 03:11:10",
"content": "k",
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"id": 969858582487117800,
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"timestamp": "04/30/2022 03:11:45",
"content": "Form the equation.",
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"id": 969858977544409100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/30/2022 03:13:19",
"content": "80x 125=10000cm cube, so it can be filled 125 containers",
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"timestamp": "04/30/2022 03:13:34",
"content": "Yes",
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"author_name": "HillBill",
"timestamp": "04/30/2022 03:13:43",
"content": "But please don't write it such way",
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"timestamp": "04/30/2022 03:14:10",
"content": "N×10×2×4=10000",
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"timestamp": "04/30/2022 03:14:36",
"content": "N=10000/10×2×4",
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"timestamp": "04/30/2022 03:15:01",
"content": "N=125",
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"author_name": "HillBill",
"timestamp": "04/30/2022 03:17:46",
"content": "Highly likely you will lose marks otherwise",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/30/2022 03:21:13",
"content": "nx10?",
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"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "04/30/2022 03:22:05",
"content": "Volume of rectangular containers \n(Cuboidal)",
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"author_name": "HillBill",
"timestamp": "04/30/2022 03:22:17",
"content": "=L×B×H",
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"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "04/30/2022 03:22:47",
"content": "Let L = 10\nB= 4\nH= 2",
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"id": 969861481711685800,
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"timestamp": "04/30/2022 03:23:16",
"content": "N is the number of containers",
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"id": 969861593087217700,
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"timestamp": "04/30/2022 03:23:42",
"content": "Therefore N×10×2×4=10000",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/30/2022 03:27:11",
"content": "where did the five come from",
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"timestamp": "04/30/2022 03:27:40",
"content": "I mean 4",
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"author_name": "HillBill",
"timestamp": "04/30/2022 03:27:41",
"content": "Lol",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/30/2022 03:32:46",
"content": "ohh",
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"author_id": 456226577798135800,
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"timestamp": "04/30/2022 03:33:07",
"content": "wait",
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"id": 969863972360704000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/30/2022 03:33:10",
"content": "H=2?",
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"id": 969863989746094100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/30/2022 03:33:14",
"content": "isn't it 4",
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"timestamp": "04/30/2022 04:03:14",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "04/30/2022 04:09:58",
"content": "still have few more questions left, wait",
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"timestamp": "04/30/2022 04:33:14",
"content": "Channel closed",
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}
] |
help-9
|
7779ceb33f6f46bdbe89cb912e7b1eff
|
199,648 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 04:34:15",
"content": "Available help channel!",
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},
{
"id": 969880931731136500,
"author_id": 865916770845327400,
"author_name": "QuadraBoy",
"timestamp": "04/30/2022 04:40:33",
"content": "What is the formula of finding a angle in a triangle?",
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},
{
"id": 969880934239305700,
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"timestamp": "04/30/2022 04:40:34",
"content": "Pinned a message.",
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"id": 969881015613026300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "04/30/2022 04:40:53",
"content": "Depends",
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},
{
"id": 969881132520861700,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "04/30/2022 04:41:21",
"content": "You're gonna have to tell more, what triangle you mean and stuff like that.",
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"content": "Like this",
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"timestamp": "04/30/2022 04:44:50",
"content": "ok, so which angle do you want to find?",
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"timestamp": "04/30/2022 04:45:07",
"content": "all of them",
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"content": "ok",
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"timestamp": "04/30/2022 04:45:09",
"content": "Sine or cosine rule.",
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"timestamp": "04/30/2022 04:45:11",
"content": "f, u and n",
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"content": "sine _of_ cosine?",
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"content": "you only really need the law of cosines here tbh",
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"content": "law of sines would be extraneous",
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"timestamp": "04/30/2022 04:45:36",
"content": "Well sure although it works well once you have figured one of the angles I meant.",
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"timestamp": "04/30/2022 04:45:57",
"content": "I haven't heard of that before",
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"timestamp": "04/30/2022 04:46:03",
"content": "You always enter at the worst possible moments for me haha. Sincere apologies that was a typo.",
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"timestamp": "04/30/2022 04:46:22",
"content": "you haven't heard of the law of sines or the law of cosines before?",
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"timestamp": "04/30/2022 04:46:28",
"content": "I'm just a Grade 8 student btw",
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"timestamp": "04/30/2022 04:46:46",
"content": "No, our teachers haven't teach us that yet",
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"timestamp": "04/30/2022 04:46:50",
"content": "then you don't have the required tools to solve this problem.",
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"timestamp": "04/30/2022 04:46:54",
"content": "I don't think you can do it then",
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"timestamp": "04/30/2022 04:47:11",
"content": "It's taught in high school ig",
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"timestamp": "04/30/2022 04:49:25",
"content": "Well, the directions says I need to find the largest and smallest angle",
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"timestamp": "04/30/2022 04:49:35",
"content": "can you show us the directions",
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"timestamp": "04/30/2022 04:49:52",
"content": "~~maybe you're confusing find as in compute with find as in identify~~",
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"content": ",rccw",
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"timestamp": "04/30/2022 04:51:54",
"content": "ok so based on the erased pencil marks you're asked to NAME the largest and smallest angles, not CALCULATE them.",
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"content": "And their values?",
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"timestamp": "04/30/2022 04:52:08",
"content": "As well?",
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"content": ".",
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"timestamp": "04/30/2022 04:52:14",
"content": "Or just their names?",
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"content": "largest and smallest angle that's all",
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"timestamp": "04/30/2022 04:54:26",
"content": "Their values or their names",
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"timestamp": "04/30/2022 04:54:38",
"content": "Like 30 degrees or <ABC",
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"content": "values",
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"timestamp": "04/30/2022 04:55:12",
"content": "Then you will again require laws of sines",
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"timestamp": "04/30/2022 04:55:43",
"content": "phew ok i'm just gonna learn that. Thanks!!!",
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"content": "It's in high school brb I don't think you will understand that",
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"timestamp": "04/30/2022 04:56:23",
"content": "Rather I think the question asks you just the names",
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"content": "yeah I think it's the names",
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"timestamp": "04/30/2022 05:01:35",
"content": "phew I need to start learning more about math",
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"timestamp": "04/30/2022 05:16:35",
"content": "@QuadraBoy Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
18a0d0f6c4fb41cba9f24b15b6ceb305
|
199,649 |
[
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"timestamp": "04/30/2022 05:18:19",
"content": "Available help channel!",
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"content": "How would I graph the reciprocal of this function?",
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"content": "Pinned a message.",
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"content": "same as you would do for graphing the reciprocal of any other known function",
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"content": "graph y=f(x) first, then graph the horizontal lines y=±1",
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"timestamp": "04/30/2022 05:40:18",
"content": "then invert based on those: parts of the graph close to 0 become far from 0 and vice versa; asymptotes become zeros and vice versa",
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"content": "the points _on_ the lines y=±1 stay where they are",
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"timestamp": "04/30/2022 05:42:15",
"content": "perhaps also plot nonzero extremum points, since those are still extrema under inversion (though their type gets flipped between max and min)",
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"timestamp": "04/30/2022 05:42:26",
"content": "Ok I see",
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"timestamp": "04/30/2022 05:42:40",
"content": "fuck maths lmao i dont understand anything",
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"content": "Please don't troll. For casual chitchat, move to #chill .",
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"content": "Ok I got it @Ann , thanks",
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"content": ".close",
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help-9
|
2b7536e4d88d430b8c240bdeda994fe1
|
199,650 |
[
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"content": "Pinned a message.",
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"timestamp": "04/30/2022 07:09:05",
"content": "you did not factor in the \"running distance measured 300mm from the inner edge of the lane\"",
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"author_name": "Ann",
"timestamp": "04/30/2022 07:09:20",
"content": "so in fact the radius should be 36.8m...? if i understand the image correctly",
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},
{
"id": 969918411662561300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/30/2022 07:09:29",
"content": ",calc 2 * pi * 36.8 + 2 * 84.39",
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"mentions": [],
"reference": null
},
{
"id": 969918414724427800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/30/2022 07:09:30",
"content": "Result:\n```\n400.00121930421\n```",
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"reference": null
},
{
"id": 969918444407492600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/30/2022 07:09:37",
"content": "this way it is 400 m to within rounding",
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},
{
"id": 969918748565856300,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "04/30/2022 07:10:49",
"content": "ohh",
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"reference": null
},
{
"id": 969918750675570800,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "04/30/2022 07:10:50",
"content": "ty",
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},
{
"id": 969918774222397400,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "04/30/2022 07:10:55",
"content": ".close",
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},
{
"id": 969918775862378500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 07:10:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
adb198941aa341cc9862b96755e4a88f
|
199,651 |
[
{
"id": 969920084980150300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 07:16:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 969927182279377000,
"author_id": 485902339543269400,
"author_name": "syzjh",
"timestamp": "04/30/2022 07:44:20",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 07:44:21",
"content": "Pinned a message.",
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}
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{
"id": 969927196825251800,
"author_id": 485902339543269400,
"author_name": "syzjh",
"timestamp": "04/30/2022 07:44:24",
"content": "Can someone help me with this problem?",
"attachments": [],
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},
{
"id": 969930972487385100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 07:59:24",
"content": "@syzjh Has your question been resolved?",
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"timestamp": "04/30/2022 08:14:24",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
4fc8c83ad9c94e61b8d47328fd27df82
|
199,652 |
[
{
"id": 969935001187659800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 08:15:24",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 969937135840927700,
"author_id": 967818099812368400,
"author_name": "друг",
"timestamp": "04/30/2022 08:23:53",
"content": "In each of the three cases, give the sphere Bq(y) for any y ∈ R and q > 0 in terms of an interval. Also, sketch your results in as descriptive a form as possible.",
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"id": 969937137917112300,
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"timestamp": "04/30/2022 08:23:54",
"content": "Pinned a message.",
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}
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{
"id": 969937264186654700,
"author_id": 967818099812368400,
"author_name": "друг",
"timestamp": "04/30/2022 08:24:24",
"content": "I believe this is about open ball in a Metric Space",
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},
{
"id": 969937348425031700,
"author_id": 967818099812368400,
"author_name": "друг",
"timestamp": "04/30/2022 08:24:44",
"content": "but I dont understand what should I do",
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},
{
"id": 969939891897114600,
"author_id": 967818099812368400,
"author_name": "друг",
"timestamp": "04/30/2022 08:34:50",
"content": "@Helpers anyone has any basic clue for me to at least start the question",
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},
{
"id": 969942477849133000,
"author_id": 967818099812368400,
"author_name": "друг",
"timestamp": "04/30/2022 08:45:07",
"content": ".close",
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"reference": null
},
{
"id": 969942479598137300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 08:45:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
18bf60c944b5432bbf62f6615a8031a8
|
199,653 |
[
{
"id": 969942732057493500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 08:46:07",
"content": "Available help channel!",
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},
{
"id": 969945168218325000,
"author_id": 911925336483180500,
"author_name": "vbun38",
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"id": 969945169967345700,
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"timestamp": "04/30/2022 08:55:49",
"content": "Pinned a message.",
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{
"id": 969945219338498000,
"author_id": 911925336483180500,
"author_name": "vbun38",
"timestamp": "04/30/2022 08:56:01",
"content": "how do i draw the on a bearing of 61 degrees part?",
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},
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"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 09:11:01",
"content": "@vbun38 Has your question been resolved?",
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"author_id": 911925336483180500,
"author_name": "vbun38",
"timestamp": "04/30/2022 09:11:47",
"content": ".close",
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"reference": null
},
{
"id": 969949191847678100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 09:11:48",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
b56c0fe0bcae4a2b80755f640c84a529
|
199,654 |
[
{
"id": 956401271269634000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 23:57:12",
"content": "Available help channel!",
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"reference": null
},
{
"id": 956404711383253000,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:10:52",
"content": "",
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"timestamp": "03/24/2022 00:10:53",
"content": "Pinned a message.",
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"id": 956404768799064000,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:11:06",
"content": "for c",
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},
{
"id": 956404839913521200,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:11:22",
"content": "what do i sub x to find square root 6",
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"id": 956408615655309300,
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"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 00:26:23",
"content": "@H.Yang Has your question been resolved?",
"attachments": [],
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"id": 956415450345001000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 00:53:32",
"content": "-5",
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"id": 956415605777502200,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:54:09",
"content": "but it wont work for the expansion",
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},
{
"id": 956415722622423000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 00:54:37",
"content": "What's the expansion?",
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"id": 956415916005019600,
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"author_name": "H.Yang",
"timestamp": "03/24/2022 00:55:23",
"content": "",
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},
{
"id": 956416019939885200,
"author_id": 341586602503569400,
"author_name": "CST",
"timestamp": "03/24/2022 00:55:48",
"content": "that’s if it’s raised to 2",
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},
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"id": 956416056795201500,
"author_id": 341586602503569400,
"author_name": "CST",
"timestamp": "03/24/2022 00:55:57",
"content": "you’re raising it to 1/2",
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},
{
"id": 956416070988750800,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 00:56:00",
"content": "Yes the power is 1/2",
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"id": 956416089103949800,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:56:04",
"content": "it say hence so need use b answer isnt it",
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},
{
"id": 956416147450921000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 00:56:18",
"content": "Yes but the expansion itself is wrong",
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},
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"id": 956416233077604500,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:56:39",
"content": ":cryy:",
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"id": 956416309070016500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/24/2022 00:56:57",
"content": "**fäf**",
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"id": 956416436073549800,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:57:27",
"content": "hmm",
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"id": 956416457137332200,
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"author_name": "H.Yang",
"timestamp": "03/24/2022 00:57:32",
"content": "i used binomial sereis",
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"id": 956416465525948400,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:57:34",
"content": "series",
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"id": 956416611957481500,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:58:09",
"content": "",
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"id": 956416632274706400,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:58:14",
"content": "like this for wg",
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"id": 956416639010762800,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 00:58:16",
"content": "eg",
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},
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"id": 956417041542312000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 00:59:52",
"content": "Oh alright let's see",
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"id": 956417231800107000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:00:37",
"content": "They said till x² right",
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"id": 956417313853292500,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 01:00:56",
"content": "yea",
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},
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"id": 956417427237912600,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:01:24",
"content": "Try putting n=-5",
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},
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"id": 956417630829445100,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 01:02:12",
"content": "into expansion?",
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},
{
"id": 956417693077094400,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:02:27",
"content": "1 - (-5/2) - (1/8) 25\n(7/2) - (25/8)\n3/8",
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},
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"id": 956417722948927500,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:02:34",
"content": "Yes",
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},
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"id": 956417743056425000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:02:39",
"content": ",w 3/8",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956417753315680300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/24/2022 01:02:41",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956417761570082800,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:02:43",
"content": ",w sqrt(6)",
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},
{
"id": 956417775574843400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/24/2022 01:02:47",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956417797582364700,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 01:02:52",
"content": "yea",
"attachments": [],
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"reference": null
},
{
"id": 956417825952657400,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 01:02:59",
"content": "different",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956417851923771500,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 01:03:05",
"content": ":keithink:",
"attachments": [],
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"reference": null
},
{
"id": 956417915203244000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:03:20",
"content": "Gotta see again where we screwed",
"attachments": [],
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"reference": null
},
{
"id": 956417971373350900,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:03:33",
"content": "Ah yes",
"attachments": [],
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"reference": null
},
{
"id": 956418046833070100,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:03:51",
"content": "You wrote 32 as 8",
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},
{
"id": 956418161350176800,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:04:19",
"content": ",w 1 + (5/2) - (25/32)",
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"timestamp": "03/24/2022 01:04:47",
"content": "Results provided by WolframAlpha",
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"id": 956418301876121600,
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"author_name": "H.Yang",
"timestamp": "03/24/2022 01:04:52",
"content": "where 32 come from",
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"timestamp": "03/24/2022 01:05:01",
"content": "0.5*-0.5 divide 2",
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"timestamp": "03/24/2022 01:05:04",
"content": "2² below",
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"timestamp": "03/24/2022 01:05:37",
"content": "why square",
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"timestamp": "03/24/2022 01:07:09",
"content": "See this",
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"timestamp": "03/24/2022 01:07:15",
"content": "You forgot (x/2)²",
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"timestamp": "03/24/2022 01:07:41",
"content": "thats not the answer",
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"timestamp": "03/24/2022 01:07:54",
"content": "I know",
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"timestamp": "03/24/2022 01:07:55",
"content": "cuz that question (1+x/2)",
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"timestamp": "03/24/2022 01:08:05",
"content": "but mine is (1-x) only",
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"timestamp": "03/24/2022 01:08:30",
"content": "Oh alright two different expansions",
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"timestamp": "03/24/2022 01:08:36",
"content": "💀",
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"id": 956419295221522400,
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"author_name": "H.Yang",
"timestamp": "03/24/2022 01:08:49",
"content": ":anihyperlolirun:",
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"id": 956419943803535400,
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"timestamp": "03/24/2022 01:11:24",
"content": "Dw well see again",
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"author_id": 734794827077648600,
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"timestamp": "03/24/2022 01:16:47",
"content": ",w expand (1-x)^(1/2)",
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"timestamp": "03/24/2022 01:16:52",
"content": "Results provided by WolframAlpha",
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"id": 956421472631521300,
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"timestamp": "03/24/2022 01:17:28",
"content": "yep seems right",
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"timestamp": "03/24/2022 01:17:59",
"content": "I think the terms after x² make a significant difference",
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"timestamp": "03/24/2022 01:18:19",
"content": "Like -x³/16 = 125/16",
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"timestamp": "03/24/2022 01:18:59",
"content": "yea",
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"id": 956422015097667600,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:19:37",
"content": ",w 3/8 + 125/16",
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"id": 956422027454079000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/24/2022 01:19:40",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 956422220840841200,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:20:26",
"content": "It will take some more terms to get close to 2.something",
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"id": 956422314612904000,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 01:20:49",
"content": "but if using b answer we cant get huh",
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"id": 956422476336885800,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:21:27",
"content": "Yeah but I'm pretty sure rhat has to be the answer",
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"id": 956422620558008300,
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"author_name": "H.Yang",
"timestamp": "03/24/2022 01:22:02",
"content": "my teacher gave us a sample question b4 but it give us the x value",
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"id": 956422633409376300,
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"timestamp": "03/24/2022 01:22:05",
"content": "so juz sub in",
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"id": 956422733820985300,
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"author_name": "yes sam",
"timestamp": "03/24/2022 01:22:29",
"content": "Some approximations are better",
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"timestamp": "03/24/2022 01:23:08",
"content": "You may get close to the value with just two terms sometimes",
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"id": 956422993645539300,
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"timestamp": "03/24/2022 01:23:31",
"content": "Like try (1+x)^(1/2)",
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"id": 956423154950099000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:24:09",
"content": ",w 1+(1/2)(4)-(1/8)(16)+(1/16)(64)",
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},
{
"id": 956423391173312500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/24/2022 01:25:05",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 956423538666008600,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "03/24/2022 01:25:41",
"content": "If we go by (1+x)^(1/2) it gets close to number pretty fast",
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"id": 956423685953183700,
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"timestamp": "03/24/2022 01:26:16",
"content": "ah",
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},
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"id": 956423705293111300,
"author_id": 628616866490744800,
"author_name": "H.Yang",
"timestamp": "03/24/2022 01:26:20",
"content": "but its -",
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},
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"id": 956423731281027100,
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"timestamp": "03/24/2022 01:26:27",
"content": ":Lenasigh:",
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"id": 956423874130636900,
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"author_name": "yes sam",
"timestamp": "03/24/2022 01:27:01",
"content": "Disappointing",
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"id": 956431281946755100,
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"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 01:56:27",
"content": "@H.Yang Has your question been resolved?",
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"timestamp": "03/24/2022 01:57:15",
"content": "Channel closed",
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}
] |
help-9
|
9968c88d84224eae8444d0fff481799c
|
199,655 |
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"id": 969949445221392500,
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"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 09:12:48",
"content": "Available help channel!",
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"id": 969952117601206400,
"author_id": 960220456718323800,
"author_name": "Monkey D. Rufied",
"timestamp": "04/30/2022 09:23:25",
"content": "I have a set of `n` elements, where `k` are of type 'a' and `n-k` are of type 'b'. I want to randomly group all elements into groups of size `g` . I'm trying to compute the probability that at least one of the groups contains all 'a', but I'm not quite sure how to tackle this",
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"content": "Pinned a message.",
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/30/2022 09:27:20",
"content": "and total no. of ways of selecting g elements from n elements is nCg",
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"id": 969953331168546800,
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"author_name": "Swas.py",
"timestamp": "04/30/2022 09:28:15",
"content": "can you do it now?",
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"id": 969953374004977700,
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"timestamp": "04/30/2022 09:28:25",
"content": "@Monkey D. Rufied ^",
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"content": "nvm",
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"id": 969954771131826200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/30/2022 09:33:58",
"content": "I misunderstood",
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"author_name": "Swas.py",
"timestamp": "04/30/2022 09:34:08",
"content": "there are more than 1 ways",
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"content": "that'd be kCg ways",
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"content": "P(all a) = kCg/nCg",
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"timestamp": "04/30/2022 09:35:29",
"content": "@Monkey D. Rufied fine?",
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"author_name": "Monkey D. Rufied",
"timestamp": "04/30/2022 09:36:49",
"content": "so that's the probability that I draw one group with all 'a', right?",
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"id": 969955547161956400,
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"timestamp": "04/30/2022 09:37:03",
"content": "yes",
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"author_name": "Monkey D. Rufied",
"timestamp": "04/30/2022 09:37:44",
"content": "but I need to draw n/g groups without replacement, does that complicate things?",
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"id": 969956037551603700,
"author_id": 556119013298667500,
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"timestamp": "04/30/2022 09:39:00",
"content": "I think it would yeah",
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"id": 969956186113863700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/30/2022 09:39:35",
"content": "and you need to find the probability of at least one of those groups having all 'a's right",
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"id": 969956279244185600,
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"timestamp": "04/30/2022 09:39:57",
"content": "yeah",
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},
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/30/2022 09:40:45",
"content": "So we could find that by doing 1 - P(none have all 'a')",
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"id": 969956538070491300,
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"timestamp": "04/30/2022 09:40:59",
"content": "now finding P(none have all 'a') is a bit complicated",
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"content": "@Monkey D. Rufied Has your question been resolved?",
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"content": "@Monkey D. Rufied Has your question been resolved?",
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"timestamp": "04/30/2022 10:56:07",
"content": "Channel closed",
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}
] |
help-9
|
7aae1a180db64cb488c22f3e05db01e8
|
199,656 |
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{
"id": 969977965452623900,
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"timestamp": "04/30/2022 11:06:08",
"content": "Available help channel!",
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"timestamp": "04/30/2022 11:06:49",
"content": "the top one",
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{
"id": 969978137091915800,
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"content": "Pinned a message.",
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"id": 969978188694450200,
"author_id": 398632540749037600,
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"timestamp": "04/30/2022 11:07:01",
"content": "(-7) + (-8)",
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"id": 969978200409129000,
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"timestamp": "04/30/2022 11:07:04",
"content": "i said 15",
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"timestamp": "04/30/2022 11:07:07",
"content": "answer sheet says -15",
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"id": 969978248521977900,
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"timestamp": "04/30/2022 11:07:15",
"content": "what happened to 2 negatives make a positive?",
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"id": 969978282898522100,
"author_id": 527534483595853800,
"author_name": "NoMatter",
"timestamp": "04/30/2022 11:07:23",
"content": "its addition",
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"author_id": 192679568765616130,
"author_name": "Sigma",
"timestamp": "04/30/2022 11:07:27",
"content": "Two negatives make a positive in a multiplication",
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"author_name": "_sami",
"timestamp": "04/30/2022 11:07:47",
"content": "oh thats the only time that rule counts?",
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"id": 969978409809772700,
"author_id": 192679568765616130,
"author_name": "Sigma",
"timestamp": "04/30/2022 11:07:54",
"content": "If I give you a 7$ debt and then a 6$ debt",
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"id": 969978422145204200,
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"author_name": "Sigma",
"timestamp": "04/30/2022 11:07:57",
"content": "you have a 13$ debt",
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"author_id": 333544771421470700,
"author_name": "張嘉棋",
"timestamp": "04/30/2022 11:08:04",
"content": "only true for multiplication and division",
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"author_name": "_sami",
"timestamp": "04/30/2022 11:08:10",
"content": "ok thanks",
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"timestamp": "04/30/2022 11:08:14",
"content": "makes sense then",
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"timestamp": "04/30/2022 11:08:17",
"content": "thx a lot",
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},
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"id": 969978511949447200,
"author_id": 398632540749037600,
"author_name": "_sami",
"timestamp": "04/30/2022 11:08:18",
"content": ".close",
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},
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"timestamp": "04/30/2022 11:08:18",
"content": "Channel closed",
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}
] |
help-9
|
9e2cf762a35748b692316242bd9890ee
|
199,657 |
[
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"timestamp": "04/30/2022 11:19:51",
"content": "how do I find the horizontal asymptote for this",
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"id": 969981467516084400,
"author_id": 375416727124836350,
"author_name": "an dy",
"timestamp": "04/30/2022 11:20:03",
"content": "without looking at a graph",
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"id": 969982936873058300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/30/2022 11:25:53",
"content": "You need to find the limit as x goes to $\\pm\\infty$",
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"id": 969982946394120300,
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"timestamp": "04/30/2022 11:25:55",
"content": "**iCaird**",
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"timestamp": "04/30/2022 11:35:03",
"content": "@an dy Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
69c995db5d2442c28769a4ebe8ba5b21
|
199,658 |
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"content": "Available help channel!",
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},
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"id": 969989436358164500,
"author_id": 672315786269818900,
"author_name": "Cola Muffin",
"timestamp": "04/30/2022 11:51:43",
"content": "@-@",
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"content": "Pinned a message.",
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"author_id": 672315786269818900,
"author_name": "Cola Muffin",
"timestamp": "04/30/2022 11:52:05",
"content": "i dont understand how i got the other answers right when one part of the equation is wrong",
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"id": 969989665748824000,
"author_id": 672315786269818900,
"author_name": "Cola Muffin",
"timestamp": "04/30/2022 11:52:37",
"content": "my equation was: (300-5x)(400+100x)= f(x)",
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"id": 969989757784445000,
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"author_name": "Cola Muffin",
"timestamp": "04/30/2022 11:52:59",
"content": "then the derivative was: -1000x+28000=0",
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"author_name": "Cola Muffin",
"timestamp": "04/30/2022 11:53:04",
"content": "so then x= 28",
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"id": 969989820808044500,
"author_id": 672315786269818900,
"author_name": "Cola Muffin",
"timestamp": "04/30/2022 11:53:14",
"content": "and then i plugged it into the original equation",
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"id": 969989836373102600,
"author_id": 672315786269818900,
"author_name": "Cola Muffin",
"timestamp": "04/30/2022 11:53:18",
"content": "and got those answers",
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"author_id": 672315786269818900,
"author_name": "Cola Muffin",
"timestamp": "04/30/2022 12:07:42",
"content": "@Helpers \\",
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"id": 969995770273099800,
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"author_name": "Alexander42",
"timestamp": "04/30/2022 12:16:53",
"content": "@Cola Muffin The third one is wrong, because you entered the profit per package and not the price per package",
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"timestamp": "04/30/2022 12:22:42",
"content": "@Cola Muffin Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
574665799d3846f499cbe48646474e17
|
199,659 |
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"id": 970006538141978800,
"author_id": 271692959164923900,
"author_name": "Wishes",
"timestamp": "04/30/2022 12:59:40",
"content": "I'd like some help with... what _looks_ like a combinatorial question to me?",
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"author_name": "Wishes",
"timestamp": "04/30/2022 13:00:40",
"content": "This appeared on a timed test. My thought was to try to give some kind of combinatorial argument?",
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"id": 970006837070004400,
"author_id": 271692959164923900,
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"content": "But I couldn't really understand how I'd go about it.",
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"id": 970007841391902700,
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"timestamp": "04/30/2022 13:04:51",
"content": "(Just in case it's important: this test is not ongoing. I threw out a baseless guess, but I do not know the correct working.)",
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"timestamp": "04/30/2022 13:19:06",
"content": "What is that fraction supposed to mean",
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"id": 970011495813488600,
"author_id": 551269104800104450,
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"timestamp": "04/30/2022 13:19:22",
"content": "You need two numbers to make a binomial coefficient",
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"timestamp": "04/30/2022 13:19:44",
"content": "It's not a binomial coefficient, I think.",
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"id": 970011599924510800,
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"content": "Just a fraction.",
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"id": 970011986588999700,
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"author_name": "EndTimes",
"timestamp": "04/30/2022 13:21:19",
"content": "Ok",
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"id": 970012210275418200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/30/2022 13:22:12",
"content": "So our top number is",
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"id": 970012297344979100,
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"author_name": "EndTimes",
"timestamp": "04/30/2022 13:22:33",
"content": "(2^10/11)^11 = 2^(110)/(11^11)",
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"id": 970012337002139800,
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"timestamp": "04/30/2022 13:22:43",
"content": "Right.",
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"id": 970012419910934500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/30/2022 13:23:02",
"content": "Lets rewrite our answer choices in terms of factorials",
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},
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"id": 970012756570951800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/30/2022 13:24:23",
"content": "Choose(n,k) = n!/(k!(n-k)!)",
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"id": 970013789493809200,
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"author_name": "Wishes",
"timestamp": "04/30/2022 13:28:29",
"content": "Right. The problem is that it's really hard to compare them directly to the number given, which is a power.",
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"timestamp": "04/30/2022 13:43:29",
"content": "@Wishes Has your question been resolved?",
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"content": "@Wishes Has your question been resolved?",
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"content": "@Wishes Has your question been resolved?",
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"content": "@Wishes Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
7e813ba13a61497a8060b60ae6a140bb
|
199,660 |
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"id": 970102714887446500,
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{
"id": 970110062997688400,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "04/30/2022 19:51:02",
"content": "Why does rotating (x,y) 90° about the origin produce (-y, x)?",
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"id": 970111132595552300,
"author_id": 493089074635341800,
"author_name": "Bone",
"timestamp": "04/30/2022 19:55:17",
"content": "wouldn't it be (-x,y)? if it's counterclockwise?",
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"id": 970111351567556700,
"author_id": 493089074635341800,
"author_name": "Bone",
"timestamp": "04/30/2022 19:56:10",
"content": "though I might be forgetting something",
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"id": 970111603230007300,
"author_id": 911095455537037400,
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"timestamp": "04/30/2022 19:57:10",
"content": "Yes.",
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"timestamp": "04/30/2022 19:57:15",
"content": "Your right.",
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"timestamp": "04/30/2022 19:57:21",
"content": "But why",
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"id": 970111709656264700,
"author_id": 911095455537037400,
"author_name": "Plegasus",
"timestamp": "04/30/2022 19:57:35",
"content": "Do you know some linear algebra?",
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"id": 970111778333794300,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "04/30/2022 19:57:51",
"content": "Yeah, I imagine dot product could be used as a proof",
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"id": 970111809824641000,
"author_id": 307070375735459840,
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"timestamp": "04/30/2022 19:57:59",
"content": "But that isn’t very satisfying",
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"timestamp": "04/30/2022 19:58:00",
"content": "Basically how rotation can be represented by a matrix.",
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"timestamp": "04/30/2022 19:58:16",
"content": "Right the sin cos business, that’s why I was asking this question",
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"timestamp": "04/30/2022 19:59:33",
"content": "This is also the reason why multiplying a complex number by i rotates it 90° right",
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"author_name": "Plegasus",
"timestamp": "04/30/2022 20:01:03",
"content": "Rotation is linear. Let T be the linear map from R^2 to R^2 that rotates a point. Since T is linear we can figure out how T acts on the standard basis (1,0), and (0, 1).",
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"timestamp": "04/30/2022 20:03:15",
"content": "Yeah it takes\nî —> (1, theta)\nj —> (1, 90+theta)\nin polar coordinates",
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"author_name": "Plegasus",
"timestamp": "04/30/2022 20:03:22",
"content": "Let e_1 = (1, 0), e_2 = (0, 1). For rotation by 90 degrees we have T(e_1) = (0, 1) and T(e_2) = (-1, 0).",
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"id": 970113513018228700,
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"author_name": "Plegasus",
"timestamp": "04/30/2022 20:04:45",
"content": "So any for any point p = (x, y) we have T(p) = xT(e_1) + yT(e_2) = (0, x) + (-y, 0) = (-y, x).",
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"timestamp": "04/30/2022 20:05:02",
"content": "Sorry this was a terrible explanation since I am at work.",
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"id": 970113851372757000,
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"author_name": "Plegasus",
"timestamp": "04/30/2022 20:06:06",
"content": "Basically any point R^2 can be represented as a linear combination of some basis. I choose the standard basis, and linear maps are determined how it acts on a given basis.",
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"timestamp": "04/30/2022 20:06:07",
"content": "Right I get it",
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"timestamp": "04/30/2022 20:06:11",
"content": "You just scale it up",
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"timestamp": "04/30/2022 20:06:20",
"content": "For whatever r is, in polar coordinates",
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"timestamp": "04/30/2022 20:06:36",
"content": "For complex number this is basically same thing.",
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"author_name": "abs_0",
"timestamp": "04/30/2022 20:06:42",
"content": "But I was really wondering if there’s some way to understand this without using heavily machinery like linear algebra",
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"author_name": "Plegasus",
"timestamp": "04/30/2022 20:07:26",
"content": "There is but I am on a time crunch. You can work out it geometrically.",
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"author_name": "Plegasus",
"timestamp": "04/30/2022 20:08:19",
"content": "My break is over.",
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"id": 970114449862180900,
"author_id": 911095455537037400,
"author_name": "Plegasus",
"timestamp": "04/30/2022 20:08:28",
"content": "Damn, sorry.",
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"id": 970114527150612600,
"author_id": 911095455537037400,
"author_name": "Plegasus",
"timestamp": "04/30/2022 20:08:47",
"content": "I know someone else comes to help.",
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"id": 970114929984151600,
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"author_name": "Plegasus",
"timestamp": "04/30/2022 20:10:23",
"content": "Here the rotation matrix. Basically what I explained. Each column is the image of the each vector in standard basis for R^2 under T.",
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"timestamp": "04/30/2022 20:10:55",
"content": "Ah i understand",
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"timestamp": "04/30/2022 20:11:01",
"content": "Thank you so much tho, I appreciate it",
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"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "04/30/2022 20:12:49",
"content": "Let me open a new channel to ask more specifically for that",
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},
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"id": 970116811867717600,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "04/30/2022 20:17:51",
"content": ".close",
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},
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"id": 970116813981630500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 20:17:52",
"content": "Channel closed",
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}
] |
help-9
|
12ef0b0536aa485dadd25996d70c4e78
|
199,661 |
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"timestamp": "04/30/2022 20:18:52",
"content": "Available help channel!",
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},
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"id": 970118534917152800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
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"timestamp": "04/30/2022 20:24:43",
"content": "Pinned a message.",
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"id": 970118714152337500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/30/2022 20:25:25",
"content": "since gcd of (6,8) is not a factor of 25, there aren't any solutions right?",
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"timestamp": "04/30/2022 20:26:26",
"content": "Yeah",
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"content": "@Deleted User Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
b764e895c130472e86b91cc8d4bfb9b8
|
199,662 |
[
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"id": 970131220472160300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/30/2022 21:15:07",
"content": "Available help channel!",
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"id": 970145252952408200,
"author_id": 577750194683248600,
"author_name": "def(lol)",
"timestamp": "04/30/2022 22:10:52",
"content": "$$If \\ \\frac{\\pi}{2} < \\theta < \\frac{3 \\pi}{2}, then \n\\sqrt{\\frac{1-sin \\theta}{1+ sin \\theta}} \\ = \\ ?$$",
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"id": 970145265698873500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/30/2022 22:10:55",
"content": "**def(lol)**",
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"content": "@def(lol) Has your question been resolved?",
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"content": "@Helpers",
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"id": 970149924341694600,
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"timestamp": "04/30/2022 22:29:26",
"content": "help pls 🙏",
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"id": 970150762242015200,
"author_id": 861909505075576800,
"author_name": "Elyazid",
"timestamp": "04/30/2022 22:32:46",
"content": "$\\sqrt{\\frac{1-sin(x)}{1+sin(x)}} = \\sqrt{\\frac{cos(x)^2}{(1+sin(x))^2}} = \\frac{-cos(x)}{1+sin(x)}$",
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"id": 970150772778106900,
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"timestamp": "04/30/2022 22:32:48",
"content": "**Elyazid**",
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"author_name": "Elyazid",
"timestamp": "04/30/2022 22:33:24",
"content": "the minus sign because cos(x) is negative when pi/2 < x< 3pi/2",
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"timestamp": "04/30/2022 22:59:26",
"content": "@def(lol) Has your question been resolved?",
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"author_name": "def(lol)",
"timestamp": "04/30/2022 23:03:10",
"content": "but there are 2 quadrants",
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"timestamp": "04/30/2022 23:03:22",
"content": "ah cos is negative in both",
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"id": 970158469682438300,
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"author_name": "def(lol)",
"timestamp": "04/30/2022 23:03:23",
"content": "nvm",
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"timestamp": "04/30/2022 23:03:26",
"content": "Channel closed",
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}
] |
help-9
|
dedaabbd6f96487295f21e4679ae510d
|
199,663 |
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"content": "Available help channel!",
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},
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"timestamp": "05/01/2022 01:28:56",
"content": "@E5H4 Has your question been resolved?",
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"content": "@Helpers",
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"id": 970197393570136200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/01/2022 01:38:04",
"content": "What is your question",
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"timestamp": "05/01/2022 01:38:13",
"content": "Did you look up the roster method?",
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"id": 970198105897197600,
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"author_name": "E5H4",
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"content": "i know what the roster method is, its just {} with the parenthesis",
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"id": 970198149777989600,
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"author_name": "E5H4",
"timestamp": "05/01/2022 01:41:04",
"content": "im just stuck on how to get the equiv classes for that problem",
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"timestamp": "05/01/2022 01:41:08",
"content": "7 and 15",
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"id": 970200732307456000,
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"timestamp": "05/01/2022 01:51:20",
"content": "k then sighs",
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"id": 970200738049445900,
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"author_name": "E5H4",
"timestamp": "05/01/2022 01:51:21",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
045da25e6e0345f0b557d78ec32ab777
|
199,664 |
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"content": "Available help channel!",
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"timestamp": "05/01/2022 01:57:02",
"content": "Please help me on this",
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"id": 970202495462801500,
"author_id": 743370574570586200,
"author_name": "Gem|nio",
"timestamp": "05/01/2022 01:58:20",
"content": "If possible solve this for me 😊",
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"content": "This looks like an assignment.",
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"content": "Please show your working first.",
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{
"id": 970204439392714800,
"author_id": 743370574570586200,
"author_name": "Gem|nio",
"timestamp": "05/01/2022 02:06:03",
"content": "I have not started please give me an idea how to solve this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 970208215172284400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 02:21:04",
"content": "@Gem|nio Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 743370574570586200,
"name": "Gem|nio",
"discriminator": "2785",
"nickname": "Gem|nio",
"isBot": false
}
],
"reference": null
},
{
"id": 970211990775672800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 02:36:04",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ddc9ae378efe4e4199dd635a5200bdfe
|
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