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{
"id": 1035493430551388200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/28/2022 06:01:12",
"content": "Available help channel!",
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"id": 1035494526564978700,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:05:33",
"content": "To find value of K I just solve the eq right",
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"id": 1035494529605849100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/28/2022 06:05:34",
"content": "Pinned a message.",
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"id": 1035494655107809300,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:06:04",
"content": "Part A",
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{
"id": 1035494666709254100,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:06:07",
"content": "I’m talking about",
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{
"id": 1035495331812626400,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:08:45",
"content": "and how do i find this",
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"id": 1035495336636059600,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:08:46",
"content": "if there are two roots",
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{
"id": 1035495366109438000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:08:53",
"content": "i have only done one root so idk",
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{
"id": 1035496639378505900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:13:57",
"content": "helllooo",
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{
"id": 1035496652573786100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:14:00",
"content": "u still here?",
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{
"id": 1035496757213282300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:14:25",
"content": "@waterr beam",
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{
"id": 1035496782274232300,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:14:31",
"content": "yeo",
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{
"id": 1035496786263036000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:14:32",
"content": "im here",
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{
"id": 1035496805191909400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:14:36",
"content": "ok so",
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{
"id": 1035496888973144000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:14:56",
"content": "what does \"one of the roots is zero\" mean (ik just asking)",
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{
"id": 1035496968530694300,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:15:15",
"content": "i think it means it equals 0",
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{
"id": 1035497035849277400,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:15:31",
"content": "like in the standard form this root equal 0",
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{
"id": 1035497062613123100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:15:38",
"content": "what is equal to 0?",
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{
"id": 1035497136365768700,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:15:55",
"content": "ax^2 + bx + c = 0",
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{
"id": 1035497182339551400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:16:06",
"content": "that's what a root it, yes",
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{
"id": 1035497243886747600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:16:21",
"content": "but what does \"one of it's root is zero\" mean",
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{
"id": 1035497305962459100,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:16:36",
"content": "the root equals to zero?",
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{
"id": 1035497349717426200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:16:46",
"content": "do you know what roots are?",
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{
"id": 1035497438426972200,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:17:07",
"content": "i think so im getting confused with the actual roots tho",
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{
"id": 1035497441228755000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:17:08",
"content": "like",
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{
"id": 1035497460333826000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:17:13",
"content": "sqrt thing",
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{
"id": 1035497495104606200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:17:21",
"content": "no",
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{
"id": 1035497515077869600,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:17:26",
"content": "i know its not the sqrt",
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{
"id": 1035497540944134100,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:17:32",
"content": "its the equation?",
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{
"id": 1035497550544908400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:17:34",
"content": "ok so root is basically the x-intercept",
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"id": 1035497561957601300,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:17:37",
"content": "o",
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"id": 1035497591842033700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:17:44",
"content": "or you can say when \"y\" is equal to 0",
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{
"id": 1035497668358721700,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:18:02",
"content": "okay",
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"id": 1035497798088527900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:18:33",
"content": "so in the question it said that \"one of the root is zero\"\nit means that one of the roots are at x = 0",
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{
"id": 1035497835443007600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:18:42",
"content": "or y is equal to 0 when x is equal to 0",
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{
"id": 1035497988539297800,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:19:19",
"content": "so if root is zero does it mean x is always 0",
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"id": 1035498045393080300,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:19:32",
"content": "or y is always equal to 0",
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{
"id": 1035498104109150200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:19:46",
"content": "if the root is zero, it means that when \"x is equal to 0\", y is also equal to 0",
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{
"id": 1035498139219660900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:19:55",
"content": "ok",
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{
"id": 1035498173336141800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:20:03",
"content": "or it means that the root is at x = 0",
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"id": 1035498186648862800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:20:06",
"content": "lemme give you an example",
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"id": 1035498213190414500,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:20:12",
"content": "kk",
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:20:40",
"content": "",
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"id": 1035498368497094700,
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:20:49",
"content": "here you can see the one of the x intercepts is at x = -1",
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"id": 1035498386289340400,
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:20:53",
"content": "you can say it as",
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"id": 1035498433294913700,
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:21:05",
"content": "one of the roots of the graph is -1",
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"id": 1035498459073101800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:21:11",
"content": "because when x = -1, y is 0",
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"id": 1035498532876075000,
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"author_name": "waterr beam",
"timestamp": "10/28/2022 06:21:28",
"content": "okay that makes sense",
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"id": 1035498654695436300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:21:57",
"content": "ok so for your equation, it says that when x = 0, the y is 0",
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"id": 1035498732768206800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:22:16",
"content": "so... just replace the x's with 0 and make it equal to 0",
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"id": 1035499026377887900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:23:26",
"content": "i get the replace x part but wdym by make it equal to 0?",
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"id": 1035499194506559600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:24:06",
"content": "standard form of a quadratic function\n> f(x) = ax^2 + bx + c\nwe know that\n> f(0) = 0\nthrough direct substitution, we know that\n> f(0) = a(0)^2 + b(0) + c\n> 0 = a(0)^2 + b(0) + c\nand we can just solve it",
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"id": 1035499288358305800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:24:28",
"content": "\"your equation\" = 0",
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"id": 1035499305953394700,
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"author_name": "waterr beam",
"timestamp": "10/28/2022 06:24:33",
"content": "oh right",
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{
"id": 1035499385536122900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:24:52",
"content": "so if i have something like",
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"id": 1035499433569308700,
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"author_name": "waterr beam",
"timestamp": "10/28/2022 06:25:03",
"content": "x^2, does the x entirely get removed because it replaced with 0?",
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"id": 1035499456516329500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:25:09",
"content": "yes",
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{
"id": 1035499510895481000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:25:22",
"content": "ok",
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"id": 1035499551731224600,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:25:31",
"content": "and something like",
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{
"id": 1035499590415290400,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:25:41",
"content": "kx = k(0)",
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"id": 1035499623369932800,
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"author_name": "waterr beam",
"timestamp": "10/28/2022 06:25:48",
"content": "k doesnt get removed right",
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"id": 1035499875707658200,
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"author_name": "waterr beam",
"timestamp": "10/28/2022 06:26:49",
"content": "wait dum question",
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"timestamp": "10/28/2022 06:27:12",
"content": "so its just -10 +2k = 0",
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"id": 1035499978862383100,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:27:13",
"content": "?",
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"id": 1035500044931055600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:27:29",
"content": "yes",
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"id": 1035500055987224700,
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:27:32",
"content": "i think",
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"id": 1035500063360831500,
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:27:33",
"content": "wait lemme recheck",
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"id": 1035500077185241100,
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"timestamp": "10/28/2022 06:27:37",
"content": "alr",
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"id": 1035500108734799900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:27:44",
"content": "yeah",
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"id": 1035500115785429100,
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:27:46",
"content": "that's it",
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:27:49",
"content": "and then just 2k = 10",
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{
"id": 1035500148714913800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:27:54",
"content": "easy value of k",
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"id": 1035500171359952900,
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"author_name": "waterr beam",
"timestamp": "10/28/2022 06:27:59",
"content": "55555555555555555555555555",
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"id": 1035500190204956700,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:28:04",
"content": "W",
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{
"id": 1035500233565679700,
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:28:14",
"content": "are you laughing in thai or are you saying that the answer is 5",
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"author_id": 722683408190406700,
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"timestamp": "10/28/2022 06:28:28",
"content": "is that what laughing in thai looks like?",
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"id": 1035500304633966600,
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"timestamp": "10/28/2022 06:28:31",
"content": "lol",
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"timestamp": "10/28/2022 06:28:42",
"content": "just excited that it was an easy thing to solve",
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"timestamp": "10/28/2022 06:28:43",
"content": "hahahaha",
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"timestamp": "10/28/2022 06:29:12",
"content": "wow ya learn something everyday",
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"timestamp": "10/28/2022 06:29:15",
"content": "555",
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"id": 1035500574151545000,
"author_id": 722683408190406700,
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"timestamp": "10/28/2022 06:29:35",
"content": "anyways,",
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"id": 1035500619793973200,
"author_id": 722683408190406700,
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"timestamp": "10/28/2022 06:29:46",
"content": "for ii it says",
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"id": 1035500664501055500,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:29:57",
"content": "what is the other root",
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"id": 1035500673644634100,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:29:59",
"content": "is it asking for",
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"id": 1035500700182007900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:30:05",
"content": "kx + 2?",
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"id": 1035500722416005100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:30:10",
"content": "nooo",
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"id": 1035500751612547100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:30:17",
"content": "you know that k = 5 right?",
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"id": 1035500762349973500,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:30:20",
"content": "yep",
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"author_id": 483962566977126400,
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"timestamp": "10/28/2022 06:30:22",
"content": "replace the k with 5",
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"author_id": 483962566977126400,
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"timestamp": "10/28/2022 06:30:32",
"content": "and then you have a standard form quadratic equation",
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"timestamp": "10/28/2022 06:30:41",
"content": "root means when it is = 0",
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:30:44",
"content": "so just do that",
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"id": 1035500955388629000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:31:06",
"content": "so we still reuse the",
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"id": 1035500973226995800,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:31:10",
"content": "-10 +2k = 0?",
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"id": 1035500994383052800,
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"author_name": "MarveI",
"timestamp": "10/28/2022 06:31:15",
"content": "nooo",
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"id": 1035501010333999100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:31:19",
"content": "we use the original equation",
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"id": 1035501022585561200,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:31:22",
"content": "oh ok",
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"id": 1035501062699880400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:31:32",
"content": "but replace the k with the value you already get",
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"id": 1035501078504034400,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:31:35",
"content": "the x^2 -11x - 10 + kx + 2k one",
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"id": 1035501106253549600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:31:42",
"content": "sii",
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"id": 1035501167549087900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:31:57",
"content": "ok",
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},
{
"id": 1035501348373921900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:32:40",
"content": "x^2 - 6x?",
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"id": 1035501398546186200,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:32:52",
"content": "x^2 - 11x - 10 + 5x + 10",
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"id": 1035501468070989800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:33:08",
"content": "yes now",
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"id": 1035501504464961700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:33:17",
"content": "because it's asking for the root",
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"id": 1035501510311804900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:33:18",
"content": "x^2 - 6x = 0",
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},
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"id": 1035501517865767000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:33:20",
"content": "solve",
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},
{
"id": 1035501550359040000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:33:28",
"content": "for x right",
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},
{
"id": 1035501562233102500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:33:31",
"content": "yes",
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},
{
"id": 1035501569258553300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:33:32",
"content": "very easy",
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},
{
"id": 1035501671045943400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:33:57",
"content": "you can do it algebraically, factoring, or quadratic",
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"id": 1035501699273605100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:34:03",
"content": "and also completing circle",
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},
{
"id": 1035501756064469000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:34:17",
"content": "okay",
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{
"id": 1035501975250419700,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:35:09",
"content": "so x can be",
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},
{
"id": 1035501995978674200,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:35:14",
"content": "6",
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{
"id": 1035502007877902300,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:35:17",
"content": "andddddddd",
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{
"id": 1035502258688888800,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:36:17",
"content": "x(x - 6) = 0",
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"id": 1035502281744973800,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:36:22",
"content": "so x can also be 0?",
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{
"id": 1035502302045417500,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:36:27",
"content": "6 and 0",
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},
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"id": 1035502438897160300,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:37:00",
"content": "6,0",
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"id": 1035502446379810800,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:37:01",
"content": "555555555555",
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"id": 1035502563069538400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:37:29",
"content": "yey",
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"id": 1035502578328424600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:37:33",
"content": "i ma go sleep now",
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"id": 1035502589804036100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "10/28/2022 06:37:36",
"content": "bye",
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"id": 1035502672289210400,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:37:55",
"content": "okeyy",
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"id": 1035502692522528900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:38:00",
"content": "thank you very much for the help",
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},
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"id": 1035502704719577200,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "10/28/2022 06:38:03",
"content": "have a goodnight",
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"id": 1035503389628432400,
"author_id": 722683408190406700,
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"timestamp": "10/28/2022 06:40:46",
"content": ".close",
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"id": 1035503394141511700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/28/2022 06:40:47",
"content": "Channel closed",
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] | help-9 | 7462acd41c4c4a479c913398d756d15a |
200,766 | [
{
"id": 1063933307391324200,
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"timestamp": "01/14/2023 16:31:07",
"content": "Available help channel!",
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"id": 1063933573926756500,
"author_id": 789545345246822400,
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"timestamp": "01/14/2023 16:32:10",
"content": "To prove this why would I switch the cosx to 1/secx",
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"content": "Pinned a message.",
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"content": "Because the right side has sec?",
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"content": "And not use the opposite of the denominator to multiply top and bottom of 1st equation",
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"timestamp": "01/14/2023 16:34:14",
"content": "Channel closed",
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] | help-9 | 686814de265444a5ae7d81301890e9b6 |
200,767 | [
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"timestamp": "01/14/2023 17:06:05",
"content": "Available help channel!",
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"id": 1063943158389538800,
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"content": "Pinned a message.",
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"timestamp": "01/14/2023 17:10:23",
"content": "where did i go wrong here",
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"id": 1063943725258113000,
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"timestamp": "01/14/2023 17:12:31",
"content": "new solution",
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"id": 1063944150858334200,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "01/14/2023 17:14:12",
"content": "i am looking at the integral online and noticed i got an extra factor of 1/2 outside the integral, but other than that it looks right. not sure how i ended up going wrong to get that extra 1/2?",
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"id": 1063945067531882600,
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"timestamp": "01/14/2023 17:17:51",
"content": ".close",
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"id": 1063945070451101700,
"author_id": 805217272087838700,
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"timestamp": "01/14/2023 17:17:51",
"content": "Channel closed",
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}
] | help-9 | 4017c44dc38843f89d71972fe6b25b81 |
200,768 | [
{
"id": 1063945686346903700,
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"content": "Available help channel!",
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{
"id": 1063948229235982300,
"author_id": 923128716199075800,
"author_name": "Miggpan",
"timestamp": "01/14/2023 17:30:25",
"content": "Hi, im having trouble finding a one stat and two stat topic i can use to make a graph?",
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},
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"id": 1063948231794511900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/14/2023 17:30:25",
"content": "Pinned a message.",
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"id": 1063948569956065300,
"author_id": 923128716199075800,
"author_name": "Miggpan",
"timestamp": "01/14/2023 17:31:46",
"content": "like what is a topic that I can use for a one stat and two stat variable graph?",
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"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/14/2023 17:40:58",
"content": "there are a lot of uses of statistics",
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"id": 1063950945005883400,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/14/2023 17:41:12",
"content": "surely you can find one if you can understand how to use statistics",
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"id": 1063950985325719700,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/14/2023 17:41:22",
"content": "otherwise it doesn't seem like you've learned anything at all",
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"id": 1063951286883582100,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/14/2023 17:42:34",
"content": "but if you want an interesting example: you could plot the resulting losses of some online blackjack and compute some descriptive statistics of it",
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"timestamp": "01/14/2023 17:47:34",
"content": "@Miggpan Has your question been resolved?",
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"timestamp": "01/14/2023 17:51:03",
"content": "Channel closed",
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] | help-9 | f9a8967e3ad14665bbba670e8c5ab367 |
200,769 | [
{
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"timestamp": "01/14/2023 17:52:04",
"content": "Available help channel!",
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},
{
"id": 1063955537319964700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/14/2023 17:59:27",
"content": "hey guys can someone help me",
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"id": 1063955539735875700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"id": 1063955546857820200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/14/2023 17:59:29",
"content": "with this",
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"author_name": "Lex1729",
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"content": "",
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"id": 1063955683189461100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/14/2023 18:00:02",
"content": "I have sketched the graph and am now on part b",
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"id": 1063955854400946300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/14/2023 18:00:43",
"content": "first |x-3| = 1/2x",
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"id": 1063955935376191500,
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"author_name": "Lex1729",
"timestamp": "01/14/2023 18:01:02",
"content": "I get x-3 = 1/2x or x-3 = -(1/2x)",
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"author_name": "Lex1729",
"timestamp": "01/14/2023 18:01:35",
"content": "I know in order to solve for x in both cases I need to multiply both sides of the equation by 2",
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"id": 1063956140339236900,
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"author_name": "Lex1729",
"timestamp": "01/14/2023 18:01:51",
"content": "although does this mean I multiply (x) and (-3) by 2?",
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"id": 1063956201039212500,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/14/2023 18:02:05",
"content": "yes",
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"author_name": "Lex1729",
"timestamp": "01/14/2023 18:02:13",
"content": "oh ok thanks",
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"id": 1063956608339681400,
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"author_name": "Lex1729",
"timestamp": "01/14/2023 18:03:42",
"content": "ok I got x = 2",
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"author_name": "Lex1729",
"timestamp": "01/14/2023 18:03:46",
"content": "is this correct?",
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"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/14/2023 18:04:04",
"content": "do you mean for both of them?",
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"id": 1063956794008932500,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/14/2023 18:04:27",
"content": "for the second one",
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"id": 1063956811679543400,
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"author_name": "the guy who asked",
"timestamp": "01/14/2023 18:04:31",
"content": "yes",
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"author_name": "Lex1729",
"timestamp": "01/14/2023 18:04:39",
"content": "then for the first one I got x = 6",
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"id": 1063956852309753900,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/14/2023 18:04:40",
"content": "it's correct for the second one",
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"id": 1063957731519758500,
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"author_name": "Lex1729",
"timestamp": "01/14/2023 18:08:10",
"content": "ok now I just put 2 and 6 on a number line and try values to substitute into the inequality right?",
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"timestamp": "01/14/2023 18:23:10",
"content": "@Lex1729 Has your question been resolved?",
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"timestamp": "01/14/2023 18:38:11",
"content": "Channel closed",
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] | help-9 | abc22d47f6664868821f4f525de2163a |
200,770 | [
{
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{
"id": 1063966029983785000,
"author_id": 290723508563214340,
"author_name": "Poop",
"timestamp": "01/14/2023 18:41:09",
"content": "Can anyone verify for me that I did this problem correctly?",
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"content": "Pinned a message.",
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"author_name": "Poop",
"timestamp": "01/14/2023 18:41:41",
"content": "I think I understand the topic but I'm not sure if the average velocity is just the slope of the secant line as I calculated it",
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"timestamp": "01/14/2023 18:56:41",
"content": "@Poop Has your question been resolved?",
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"timestamp": "01/14/2023 18:58:38",
"content": "@Helpers",
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"timestamp": "01/14/2023 19:28:38",
"content": "@Poop Has your question been resolved?",
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] | help-9 | f3c94df421064fd48b0a68a1cb64c418 |
200,771 | [
{
"id": 1063985786086760400,
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"timestamp": "01/14/2023 19:59:39",
"content": "Available help channel!",
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{
"id": 1063987287622426800,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:05:37",
"content": "Can someone help me figure out how I would solve this?",
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"content": "Pinned a message.",
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"id": 1063987745317457900,
"author_id": 851170607755558900,
"author_name": "ℕαv",
"timestamp": "01/14/2023 20:07:26",
"content": "do you know the formulas for that",
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},
{
"id": 1063987831606890600,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:07:46",
"content": "cylinder?",
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{
"id": 1063987854805581800,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:07:52",
"content": "yea its",
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{
"id": 1063987919427211300,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:08:07",
"content": "A=2πrh+2πr2",
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"id": 1063987962267828200,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:08:18",
"content": "pretend that 2 is an power",
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},
{
"id": 1063988121433284600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/14/2023 20:08:56",
"content": "You can use ^2 to represent power",
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{
"id": 1063988153981096100,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:09:03",
"content": "Oh",
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"id": 1063988161937682600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/14/2023 20:09:05",
"content": "E.g. r^2",
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"id": 1063988258956136400,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:09:28",
"content": "A=2πrh+2πr^2",
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},
{
"id": 1063988472341352400,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:10:19",
"content": "How I thought to solve it was the formula then divided by 2",
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},
{
"id": 1063988556416176100,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:10:39",
"content": "But it ain't one of the answers so",
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"author_name": "destu02",
"timestamp": "01/14/2023 20:14:41",
"content": "@SWR you know what I should do?",
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"id": 1063990040734203900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/14/2023 20:16:33",
"content": "What did you plug in?",
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"id": 1063990195483066500,
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"author_name": "destu02",
"timestamp": "01/14/2023 20:17:10",
"content": "well as the radius I put 3 and for the height I put 30",
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"timestamp": "01/14/2023 20:22:05",
"content": "@dldh06",
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"timestamp": "01/14/2023 20:27:15",
"content": "This is correct",
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"id": 1063992781212754000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/14/2023 20:27:27",
"content": "Maybe the choices are wrong?",
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"id": 1063992961450381300,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:28:10",
"content": "Maybe Idk",
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"id": 1063993005670936700,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:28:20",
"content": "Could you check if",
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"id": 1063993040294920200,
"author_id": 985711858986127500,
"author_name": "destu02",
"timestamp": "01/14/2023 20:28:28",
"content": "3 is the radius and 30 is the height",
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"id": 1063993568961761300,
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"author_name": "dldh06",
"timestamp": "01/14/2023 20:30:34",
"content": "I mean your process is correct",
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"id": 1063993723169550500,
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"author_name": "destu02",
"timestamp": "01/14/2023 20:31:11",
"content": "Yea, but I'm not sure if I input the right things",
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"author_name": "Mathematics Bot",
"timestamp": "01/14/2023 20:46:11",
"content": "@destu02 Has your question been resolved?",
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"id": 1064000092358590500,
"author_id": 867205815928881200,
"author_name": "Arten",
"timestamp": "01/14/2023 20:56:30",
"content": "apologies for the highscool grade question again but I have no clue why the answer key my teacher gave me said the answer is 0. I graphed it and traced the first maximum point of the graph and it gave me 3.4. My answer is not here at all lol",
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"author_name": "Saccharine",
"timestamp": "01/14/2023 20:58:12",
"content": "the sine function reaches its maximum at pi/2 iirc",
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"id": 1064000544621994000,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/14/2023 20:58:18",
"content": "so we simply solve",
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"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/14/2023 20:58:27",
"content": ",w solve (2pi/7) * (x-1.5) = pi/2",
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"author_id": 510789298321096700,
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"timestamp": "01/14/2023 20:58:30",
"content": "Results provided by WolframAlpha",
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"timestamp": "01/14/2023 20:58:35",
"content": "oh",
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"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/14/2023 20:59:08",
"content": ",w maximize y = 14 sin (2 * pi / 7 * (x-1.5)) + 19",
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"content": "Results provided by WolframAlpha",
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"timestamp": "01/14/2023 21:00:49",
"content": "Channel closed",
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] | help-9 | 7b3c843cb4e2462697911d1f5b2ce920 |
200,772 | [
{
"id": 1064005394680250500,
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"author_name": "Mathematics Bot",
"timestamp": "01/14/2023 21:17:34",
"content": "Available help channel!",
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"id": 1064005711350214700,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:18:49",
"content": "Hi. I need to proof that .e",
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"timestamp": "01/14/2023 21:18:50",
"content": "Pinned a message.",
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"timestamp": "01/14/2023 21:18:54",
"content": "lol sorry",
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"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:20:20",
"content": "Let a<b. Consider the set s= [a,b] interjection Q (rational set). Proof that sup (s) = b",
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"id": 1064006884329275400,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:23:29",
"content": "hello there @yellowbee",
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"id": 1064006923214659700,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:23:38",
"content": "Hi",
"attachments": [],
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"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:23:47",
"content": "what have you tried?",
"attachments": [],
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"id": 1064007020430229600,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:24:01",
"content": "My method was contradiction",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:24:12",
"content": "I'd choose that too",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:25:18",
"content": "so I wrote : sup (s) is different than b. So sup(S) > b or sup(s) < b",
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"timestamp": "01/14/2023 21:25:21",
"content": "nice",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:25:57",
"content": "We have that a<b, so it can't be sup (s) > b",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:26:33",
"content": "So it's sup < b and b is a least upper bound",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:26:40",
"content": "sorry",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:26:43",
"content": "just upper bound",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:26:58",
"content": "why?",
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"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:27:40",
"content": "Because b it's the maximum, isn't it?",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:28:14",
"content": "lemme think how to explain this",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:28:21",
"content": "Alright",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:29:00",
"content": "b in R, but S is a subset of Q",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:30:02",
"content": "b may not be the max of S",
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"timestamp": "01/14/2023 21:30:44",
"content": "that is also why this is not clear enough",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:30:52",
"content": "I see",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:32:00",
"content": "Okay, I'm gonna think more about it, thank you",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:32:07",
"content": "sure!",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:32:13",
"content": "do you need hints?",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:32:19",
"content": "Yes, please",
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"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:32:47",
"content": "remember the dense property Q has on R",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:33:31",
"content": "you will have to use that",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:37:58",
"content": "Got it, maybe I can say : let sup (a), now we have a < (or equal) x < ( or equal ) b",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:38:05",
"content": "The contradictions are these I think",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:38:12",
"content": "there*",
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"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:39:04",
"content": "hmmm",
"attachments": [],
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"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:40:15",
"content": "i don't get why this is related to the contradiction.",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:43:25",
"content": "maybe I'll tell you my approach first, let's see if that helps:\n1) If b in *Q*\n2) if b not in *Q*\n2a) Assume sup(S) > b\n(something similar to your approach, but need some algebraic proof)\n2b) Assume sup(S) < b\n(use dense property)",
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"id": 1064012155378208800,
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:44:26",
"content": "Oh, interesting",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:44:57",
"content": "What I thought was : If a<b. By density exists r such that a < r < b. So r belongs to [a,b] and r<a. First contradiction",
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"id": 1064012307140726800,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:45:02",
"content": "Is it okay?",
"attachments": [],
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"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:46:02",
"content": "lemme restate for you this time 🙂\nthere seems to be typos here and there",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:51:19",
"content": "2b)\nSuppose sup(S)<b, let sup(S)=s.\nBy assumption, a<s<b.\nBy density, there exists an r in *Q* such that s<r<b.\nNow, a<r<b and r in *Q*, therefore r in S.\nBut sup(S)=s<r, then s is not an upper bound of S, which leads to contradiction",
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"id": 1064014631733039200,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:54:16",
"content": "I get you, thanks",
"attachments": [],
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"id": 1064014670270312600,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:54:25",
"content": "I think I can finish it",
"attachments": [],
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:54:34",
"content": "good luck!",
"attachments": [],
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"id": 1064014716072120400,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:54:36",
"content": "Is this wrong?",
"attachments": [],
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"id": 1064014827481215000,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:55:03",
"content": "this",
"attachments": [],
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"id": 1064014928861741200,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:55:27",
"content": "hmmm, yea, do you want me to point out what's wrong about it?",
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"id": 1064015020113010800,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:55:49",
"content": "Yes, it's better",
"attachments": [],
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"id": 1064015061653409800,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 21:55:59",
"content": "lol, I'm very bad",
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"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:56:26",
"content": "is this for my 1)?",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 21:56:52",
"content": "nah, it's okay, it's a good start",
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"timestamp": "01/14/2023 21:59:37",
"content": "No, it's another way. Then I was thinking of: considerer b<a. By density exists r such that b < r < a. So r it's a upper bound. But then sup (s) can't equal a. Contradiction again",
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"id": 1064016009066991700,
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"author_name": "yellowbee",
"timestamp": "01/14/2023 21:59:45",
"content": "So sup (s) = b",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 22:00:13",
"content": "That would be everything, but your proof looks much complete",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:00:30",
"content": "i get what's wrong now",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:01:04",
"content": "it's the problem itself you are unsure about.",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 22:01:31",
"content": "I appreciate it",
"attachments": [],
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"timestamp": "01/14/2023 22:03:05",
"content": "Let a,b in R and a<b. (Given)\nConsider the set S=[a,b]and*Q*. (Given)\nProof that sup(S)=b. (This is what we are working for)",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:05:07",
"content": "for (Given), utilize them, don't alter them.\nfor (what we are working), we can use our skills to tackle them, which in this case, proof by contradiction.",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:06:12",
"content": "from your first thought,\nyou split cases \nsup(S)>b \nsup(S)<b",
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"timestamp": "01/14/2023 22:06:18",
"content": "which is a good start",
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"timestamp": "01/14/2023 22:07:14",
"content": "so you won't assums b<a, since its a given condition",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 22:08:36",
"content": "Sorry! There is a big misunderstanding, I'm gonna edit it, look",
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"timestamp": "01/14/2023 22:11:57",
"content": "Proof by contradiction. Let sup (s) = h . If h<b. By density exists r such that a < h < r < b. So r belongs to [a,b] and r<h (cause h it's the supremum), so contradiction. Now b<h. By density exists r such that b < r < h. So r it's a upper bound of [a,b]. But then sup (s) can't equal h. Contradiction again\nSo sup (s) = b",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 22:11:59",
"content": "That's it",
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"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:13:19",
"content": "let's see",
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"author_name": "yellowbee",
"timestamp": "01/14/2023 22:15:41",
"content": "oks",
"attachments": [],
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},
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"id": 1064020482946519000,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:17:31",
"content": "looks good to me",
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},
{
"id": 1064020538055475200,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 22:17:44",
"content": "Oh , great",
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},
{
"id": 1064020787440390300,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:18:44",
"content": "does your prof. need you to state what does all those variables belongs to?",
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},
{
"id": 1064021215850795100,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 22:20:26",
"content": "Mmm the statement? I'm not sure if I get you but it just says that I have to prove this equivalence",
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},
{
"id": 1064021329122177000,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:20:53",
"content": "oh okay, then seems that it'll be fine!",
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},
{
"id": 1064021384579256400,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:21:06",
"content": "one thing",
"attachments": [],
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"reference": null
},
{
"id": 1064021469320986800,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:21:26",
"content": "its the upperbound of S, not [a,b]",
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},
{
"id": 1064021556549918800,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:21:47",
"content": "or small letter s, as your question is written",
"attachments": [],
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},
{
"id": 1064021657175457800,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 22:22:11",
"content": "I understand, I'm going to edit it",
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"reference": null
},
{
"id": 1064021677257785300,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:22:16",
"content": "!",
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},
{
"id": 1064021687852601300,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:22:18",
"content": "nice!",
"attachments": [],
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},
{
"id": 1064021748112171000,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 22:22:33",
"content": "Thank you so much for your time. I also saved your way to solve the proof",
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},
{
"id": 1064021853347270800,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:22:58",
"content": "and welcome to the server btw! i just clicked on your profile while waiting XD",
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},
{
"id": 1064021944481091600,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 22:23:20",
"content": "xD Thanks. Just what I needed",
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},
{
"id": 1064021976458465400,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:23:27",
"content": "👍",
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},
{
"id": 1064022047522553900,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/14/2023 22:23:44",
"content": "you can .close if you want",
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},
{
"id": 1064022188899958900,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 22:24:18",
"content": "alright",
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},
{
"id": 1064022228003467300,
"author_id": 615346124278071300,
"author_name": "yellowbee",
"timestamp": "01/14/2023 22:24:27",
"content": ".close",
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},
{
"id": 1064022230721384400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/14/2023 22:24:28",
"content": "Channel closed",
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}
] | help-9 | c4f2492fd7334bad878e904cccac1beb |
200,773 | [
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"id": 1064022483021344800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/14/2023 22:25:28",
"content": "Available help channel!",
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},
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"id": 1064023138800771200,
"author_id": 756635032306712700,
"author_name": "Isabs",
"timestamp": "01/14/2023 22:28:04",
"content": "Heyy umm Where did the 6x go😭",
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"timestamp": "01/14/2023 22:28:31",
"content": "I thought this was what we were supposed to do",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/14/2023 22:29:05",
"content": "they've performed a substitution",
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},
{
"id": 1064023509438840800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/14/2023 22:29:33",
"content": "in $\\int 6x \\cdot \\frac{1}{3x^2+2}\\dd x$ let $u = 3x^2+2$",
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"author_name": "jan Niku",
"timestamp": "01/14/2023 22:29:41",
"content": "then $\\dd u = 6x \\dd x$",
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"id": 1064023554611478500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/14/2023 22:29:44",
"content": "**jan Niku**",
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"id": 1064023580532297700,
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"author_name": "TeXit",
"timestamp": "01/14/2023 22:29:50",
"content": "**jan Niku**",
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"id": 1064023631321116800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/14/2023 22:30:02",
"content": "so you have $\\int \\frac 1 u \\dd u$",
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"timestamp": "01/14/2023 22:30:05",
"content": "**jan Niku**",
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"id": 1064023977061797900,
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"author_name": "Isabs",
"timestamp": "01/14/2023 22:31:24",
"content": "Ooo i see",
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"id": 1064024009907372000,
"author_id": 756635032306712700,
"author_name": "Isabs",
"timestamp": "01/14/2023 22:31:32",
"content": "Ty!",
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},
{
"id": 1064024045126946800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/14/2023 22:31:40",
"content": "np",
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"id": 1064024064089407500,
"author_id": 756635032306712700,
"author_name": "Isabs",
"timestamp": "01/14/2023 22:31:45",
"content": ".close",
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"id": 1064024066996060300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/14/2023 22:31:46",
"content": "Channel closed",
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}
] | help-9 | e1d06f860ca349e0866bdc4adfb4fc6d |
200,774 | [
{
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"timestamp": "01/14/2023 22:38:08",
"content": "Available help channel!",
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"timestamp": "01/14/2023 23:10:22",
"content": "Pinned a message.",
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"id": 1064033847576113200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/14/2023 23:10:38",
"content": "Am I not allowed to factor the m?",
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{
"id": 1064033882279780500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/14/2023 23:10:46",
"content": "Nope you can't cancel like that",
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{
"id": 1064033982343295000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/14/2023 23:11:10",
"content": "What is the reason for that? Because of the -7 and +1?",
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"id": 1064034001528029200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/14/2023 23:11:14",
"content": "Yes",
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"id": 1064034021727817900,
"author_id": 464042280379088900,
"author_name": "Archi",
"timestamp": "01/14/2023 23:11:19",
"content": "you cant cancel like that",
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"id": 1064034028040228900,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/14/2023 23:11:21",
"content": "If those were not there I could factor out and cancel the m?",
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"id": 1064034058046296000,
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"timestamp": "01/14/2023 23:11:28",
"content": "Yes",
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"id": 1064034068334907500,
"author_id": 464042280379088900,
"author_name": "Archi",
"timestamp": "01/14/2023 23:11:30",
"content": "u have to do middle term factorization",
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"timestamp": "01/14/2023 23:11:34",
"content": "yes",
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"id": 1064034091789467600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/14/2023 23:11:36",
"content": "Factoring out the m isn't the problem. It's cancelling it",
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"id": 1064034116590391300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/14/2023 23:11:42",
"content": "Oh",
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"id": 1064034188774350800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/14/2023 23:11:59",
"content": "You divided *part* of the numerator and *part* of the denominator by m",
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"id": 1064034263663661200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/14/2023 23:12:17",
"content": "To simplify a fraction you have to divide the entire numerator and denominator by the same quantity",
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"id": 1064034273297956900,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/14/2023 23:12:19",
"content": "Not just a piece of it",
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},
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"id": 1064034329031888900,
"author_id": 1052723305318203400,
"author_name": "Diego Alejandro",
"timestamp": "01/14/2023 23:12:32",
"content": "Use la fórmula cuadrática",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/14/2023 23:13:16",
"content": "I don't think they are trying to solve for m",
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"author_id": 464042280379088900,
"author_name": "Archi",
"timestamp": "01/14/2023 23:13:26",
"content": "what the-",
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"author_name": "dldh06",
"timestamp": "01/14/2023 23:13:26",
"content": "Just trying to factor and cancel stuff out",
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"id": 1064034571345219600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/14/2023 23:13:30",
"content": "Not this again..",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/14/2023 23:13:32",
"content": "Quadratic formula",
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"id": 1064034630510063600,
"author_id": 464042280379088900,
"author_name": "Archi",
"timestamp": "01/14/2023 23:13:44",
"content": "bruh you dont need quadratic formula here",
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"id": 1064034649350869100,
"author_id": 464042280379088900,
"author_name": "Archi",
"timestamp": "01/14/2023 23:13:49",
"content": "is just factoring",
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"id": 1064034657043235000,
"author_id": 464042280379088900,
"author_name": "Archi",
"timestamp": "01/14/2023 23:13:51",
"content": "not solving",
"attachments": [],
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"reference": null
},
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"id": 1064034727528505500,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/14/2023 23:14:07",
"content": "Thank you!",
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"author_id": 1052723305318203400,
"author_name": "Diego Alejandro",
"timestamp": "01/14/2023 23:14:09",
"content": "Ok",
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"id": 1064035314710094000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/14/2023 23:16:27",
"content": "I keep forgetting fractions x+1/3-2 would actually be (x+1)/(3-2). All fractions inherit brackets that jail the terms in numerator and jail the terms in the denominator",
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"id": 1064035566494175400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/14/2023 23:17:27",
"content": "there are reasons why we keep telling people to use sufficient parentheses",
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},
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"id": 1064035658206822400,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/14/2023 23:17:49",
"content": "For fractions they are usually invisible but they are always there",
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"id": 1064035671255289900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/14/2023 23:17:52",
"content": "to communicate clearly and reinforce understanding of the order of operations",
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"id": 1064036397851357200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/14/2023 23:20:46",
"content": "to represent $\\frac{x+1}{3-2}$ in plain text and without the advantage of the horizontal fraction line, \\\\\n\\verb|(x+1)/(3-2)| is needed which clearly indicates exactly what's being divided and by what",
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"timestamp": "01/14/2023 23:20:49",
"content": "**ℝamonov**",
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"content": "Yeah you don't really need them if you're writing by hand",
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"content": "We be leaving fractions like ^",
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"content": "$\\verb|x+1/3-2|$ would be something completely different",
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"content": "**ℝamonov**",
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"content": "and actually represents $x + \\frac13 - 2$",
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"content": "**ℝamonov**",
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"timestamp": "01/14/2023 23:24:27",
"content": "Yeah, very true! Thanks for pointing that out. I think I need to use latex to get the numerator and denominator properly via keyboard",
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"timestamp": "01/14/2023 23:24:57",
"content": "Or use parentheses properly",
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"timestamp": "01/14/2023 23:25:02",
"content": "Haha yeah",
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"timestamp": "01/14/2023 23:25:04",
"content": "For your problem here, you can factor the numerator and denominator completely",
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"content": "Don't leave out the 1 and -7",
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"content": "Assuming you're trying to simplify it",
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"author_name": "avidrunner",
"timestamp": "01/14/2023 23:25:27",
"content": "Yeah I will use diamond method for both the numerator and denominator",
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"timestamp": "01/14/2023 23:25:43",
"content": "yes that should be fine 👍",
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"author_name": "avidrunner",
"timestamp": "01/14/2023 23:26:21",
"content": "Quadratic Formula would be overkill 💀😜",
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"timestamp": "01/14/2023 23:28:46",
"content": "Thanks all!",
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] | help-9 | 03ea7953520642bbbfb1cf9713e428d6 |
200,775 | [
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"timestamp": "01/14/2023 23:55:50",
"content": "Confused on this",
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"author_id": 1052723305318203400,
"author_name": "Diego Alejandro",
"timestamp": "01/15/2023 00:00:47",
"content": "Si f=x \ng= (3√x)/(7+3√x)",
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"timestamp": "01/15/2023 00:01:12",
"content": "What?",
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"id": 1064046631504314500,
"author_id": 751605650173460600,
"author_name": "Da Diamond Hoe",
"timestamp": "01/15/2023 00:01:25",
"content": "what",
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"timestamp": "01/15/2023 00:01:55",
"content": "Can you clarify? @Diego Alejandro",
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] | help-9 | cc6e1a05c1024d00916f0daf053c1e65 |
200,776 | [
{
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"id": 1035504272164520000,
"author_id": 565602777275826200,
"author_name": "Matas",
"timestamp": "10/28/2022 06:44:17",
"content": "How do I start with finding out the solution to this?",
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"content": "Pinned a message.",
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"author_name": "WhyWouldYouKap",
"timestamp": "10/28/2022 06:45:33",
"content": "hey mate",
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"id": 1035504617183772800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "10/28/2022 06:45:39",
"content": "ill be honest i don't really know",
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"id": 1035504658359271400,
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"timestamp": "10/28/2022 06:45:49",
"content": "but this looks a lot like e",
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"id": 1035504997435199600,
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"author_name": "WhyWouldYouKap",
"timestamp": "10/28/2022 06:47:10",
"content": "which is (1+1/n)^n",
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"id": 1035505032096907300,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "10/28/2022 06:47:18",
"content": "if this helps ur welcome",
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"id": 1035505046265266300,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "10/28/2022 06:47:21",
"content": "if not, im sorry mate",
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"timestamp": "10/28/2022 06:59:17",
"content": "@Matas Has your question been resolved?",
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"id": 1035515434881003500,
"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "10/28/2022 07:28:38",
"content": "$=\\lim_{n \\to \\infty}\\left( (1+\\frac{1}{-n})^{-n} \\right)^6 = e^6$",
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"id": 1035515446507614200,
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"timestamp": "10/28/2022 07:28:41",
"content": "**秋水**",
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"timestamp": "10/28/2022 07:38:38",
"content": "@Matas Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 33283d59f93b49cd9cd55dc4878b3e66 |
200,777 | [
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"timestamp": "01/15/2023 00:07:54",
"content": "Available help channel!",
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{
"id": 1064050131084783700,
"author_id": 835120698581057700,
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"timestamp": "01/15/2023 00:15:20",
"content": "another vector question",
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"timestamp": "01/15/2023 00:15:54",
"content": "q10 btw",
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"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "01/15/2023 00:16:04",
"content": "im not so sure how to do part b",
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"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "01/15/2023 00:16:38",
"content": "They want BE right, i thought BA+AE but it does not look the same as the answer",
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"id": 1064050973120659500,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/15/2023 00:18:41",
"content": "oh those are vectors",
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"timestamp": "01/15/2023 00:18:47",
"content": "thought it was one of those trig problems",
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"author_name": "Saccharine",
"timestamp": "01/15/2023 00:19:04",
"content": "yeah basically BA + AE",
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"timestamp": "01/15/2023 00:19:08",
"content": "AHHA yep i said vectors cus it legit tooks like a trigo question",
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"timestamp": "01/15/2023 00:19:11",
"content": "you're given BA = a",
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"timestamp": "01/15/2023 00:19:16",
"content": "mhm",
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"id": 1064051177345527800,
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"author_name": "Saccharine",
"timestamp": "01/15/2023 00:19:29",
"content": "and so basically the trouble is that you have to find AE",
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"timestamp": "01/15/2023 00:19:38",
"content": "but that's not so complicated",
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"id": 1064051362029121500,
"author_id": 835120698581057700,
"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "01/15/2023 00:20:13",
"content": "oops ig im a bit dumb TvT",
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},
{
"id": 1064051395361263700,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/15/2023 00:20:21",
"content": "we're given AE + EC = AC = AB + BC = -BA + BC = -a + c",
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},
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"id": 1064051426369744900,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/15/2023 00:20:29",
"content": "so AE + EC = -a + c",
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},
{
"id": 1064051473543090300,
"author_id": 835120698581057700,
"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "01/15/2023 00:20:40",
"content": "o.0 oh ya",
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},
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"id": 1064051489179451500,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/15/2023 00:20:44",
"content": "next thing we use is EC = 2AE/3",
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},
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"id": 1064051515704221800,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "01/15/2023 00:20:50",
"content": "so we get AE + 2AE/3 = -a + c",
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},
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"id": 1064051536377950200,
"author_id": 835120698581057700,
"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "01/15/2023 00:20:55",
"content": ":0000 ohhh damn makes sense",
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},
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"id": 1064052230623330300,
"author_id": 835120698581057700,
"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "01/15/2023 00:23:40",
"content": "got it thanks alot ❤️",
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},
{
"id": 1064052238890315900,
"author_id": 835120698581057700,
"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "01/15/2023 00:23:42",
"content": ".close",
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},
{
"id": 1064052241654358000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 00:23:43",
"content": "Channel closed",
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"reference": null
}
] | help-9 | c6fcf3c1012a486985dda551f7664cb2 |
200,778 | [
{
"id": 1064052658270371800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 00:25:22",
"content": "Available help channel!",
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},
{
"id": 1064055827062870100,
"author_id": 313298495417221100,
"author_name": "avidrunner",
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"timestamp": "01/15/2023 00:37:58",
"content": "Pinned a message.",
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}
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"id": 1064055848340566000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/15/2023 00:38:03",
"content": "Not sure what I did wrong here",
"attachments": [],
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},
{
"id": 1064055918809059500,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/15/2023 00:38:20",
"content": "According to the answer I should have three different solutions for x",
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},
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"id": 1064055982138863600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/15/2023 00:38:35",
"content": "0, -sqrt5, sqrt5",
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},
{
"id": 1064056101307420800,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:39:03",
"content": "x^3-5x=0",
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},
{
"id": 1064056137370042500,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:39:12",
"content": "x(x^2-5)=0",
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},
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"id": 1064056482854863000,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:40:34",
"content": "@avidrunner",
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"id": 1064056489544794100,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:40:36",
"content": "i see your mistake",
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},
{
"id": 1064056524906971100,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:40:44",
"content": "in step 3",
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},
{
"id": 1064056593014071300,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:41:00",
"content": "you simplified out the x but you didn't simplify the 5x (it should be 5)",
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},
{
"id": 1064056607694143500,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:41:04",
"content": "so instead for step 3 it'll be",
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{
"id": 1064056630423081100,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:41:09",
"content": "x(x^2-5)=0",
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},
{
"id": 1064056666301141000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/15/2023 00:41:18",
"content": "Damn, ty I missed that",
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},
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"id": 1064056673846710400,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:41:20",
"content": "then x(x-root5)(x+root5)",
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"id": 1064056685330702300,
"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:41:23",
"content": "which gives you the solution",
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},
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"id": 1064056741999956000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/15/2023 00:41:36",
"content": "https://tenor.com/view/thanks-thank-you-gif-20870035",
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},
{
"id": 1064056768939958300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "01/15/2023 00:41:42",
"content": ".close",
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},
{
"id": 1064056771729182700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 00:41:43",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 3a656149c9bf403c86e4361d05d7742e |
200,779 | [
{
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"author_id": 492566997540798460,
"author_name": "NeonDragon250",
"timestamp": "01/15/2023 00:41:53",
"content": "no problem",
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"timestamp": "01/15/2023 01:06:04",
"content": "Available help channel!",
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},
{
"id": 1064064967617282200,
"author_id": 853107407663792100,
"author_name": "hein",
"timestamp": "01/15/2023 01:14:17",
"content": "helo",
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},
{
"id": 1064064969806716900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 01:14:18",
"content": "Pinned a message.",
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"id": 1064065010692788200,
"author_id": 853107407663792100,
"author_name": "hein",
"timestamp": "01/15/2023 01:14:27",
"content": "What is the best way to statistically compare the performance of a newly developed method against a standard method?",
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},
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"id": 1064068786594001000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 01:29:28",
"content": "@hein Has your question been resolved?",
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"name": "hein",
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{
"id": 1064071732014624800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/15/2023 01:41:10",
"content": "depends on the method",
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"id": 1064071788495122600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/15/2023 01:41:23",
"content": "what kind of statistic does your measurement produce",
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},
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"id": 1064072563287928800,
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 01:44:28",
"content": "Channel closed",
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}
] | help-9 | 61d7ab8843a242e7a6b82dac6f35b848 |
200,780 | [
{
"id": 1064072815399141400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 01:45:28",
"content": "Available help channel!",
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},
{
"id": 1064074449734873100,
"author_id": 1040831688386818000,
"author_name": "derrickjimmy014",
"timestamp": "01/15/2023 01:51:58",
"content": "A school is holding a table tennis tournament. In the beginning, 3/11 of the students in the school signed up to compete. Later, another 136 students signed up. At that time, the total number od students who signed up is 7/4 times the number of students who did not sign up. How many students are in the school?",
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{
"id": 1064074454126317700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 01:51:59",
"content": "Pinned a message.",
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"id": 1064075043614752800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/15/2023 01:54:19",
"content": "what step are you on?\n```\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"id": 1064075060538781800,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/15/2023 01:54:23",
"content": "alr so you posted this problem before, and the equation you set up before was correct",
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"id": 1064075092507754500,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/15/2023 01:54:31",
"content": "you just didn't know how to solve for the variable",
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},
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"id": 1064075094625894400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/15/2023 01:54:32",
"content": "oh, this is a repeat",
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},
{
"id": 1064075195901558900,
"author_id": 1040831688386818000,
"author_name": "derrickjimmy014",
"timestamp": "01/15/2023 01:54:56",
"content": "4. I got an answer and would like my work checked",
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"id": 1064075411966935000,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/15/2023 01:55:47",
"content": "this equation you set up was correct",
"attachments": [
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"author_name": "starlight",
"timestamp": "01/15/2023 01:55:56",
"content": "however this process was not",
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"timestamp": "01/15/2023 01:56:04",
"content": "hmm",
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"id": 1064075506779172900,
"author_id": 1040831688386818000,
"author_name": "derrickjimmy014",
"timestamp": "01/15/2023 01:56:10",
"content": "how could i solve it?",
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"id": 1064075671913124000,
"author_id": 1040831688386818000,
"author_name": "derrickjimmy014",
"timestamp": "01/15/2023 01:56:49",
"content": "i tried for hours and couldn't solve it",
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"id": 1064075677990658000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/15/2023 01:56:51",
"content": "may i suggest, firstly, that you not do your algebra in the discord message box?",
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"id": 1064075728498467000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/15/2023 01:57:03",
"content": "that might be why you're having a hard time",
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"id": 1064075809507258500,
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"author_name": "starlight",
"timestamp": "01/15/2023 01:57:22",
"content": "the first place you seemed to mess up was equating -(7/4)*136 to -102",
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"id": 1064075907851100200,
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"author_name": "starlight",
"timestamp": "01/15/2023 01:57:46",
"content": "and im kinda confuzzled about what happened in the later steps",
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},
{
"id": 1064076110150770800,
"author_id": 1040831688386818000,
"author_name": "derrickjimmy014",
"timestamp": "01/15/2023 01:58:34",
"content": "well can i suggest you do the solution",
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{
"id": 1064076160285298700,
"author_id": 1040831688386818000,
"author_name": "derrickjimmy014",
"timestamp": "01/15/2023 01:58:46",
"content": "so i could see where im wrong",
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{
"id": 1064079197401776300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/15/2023 02:10:50",
"content": "as mentioned multiple times,\nyou haven't multiplied properly",
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},
{
"id": 1064079338422669300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/15/2023 02:11:23",
"content": "> -(7/4)*136 isn't -102",
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},
{
"id": 1064079407490285700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/15/2023 02:11:40",
"content": "and it's also unclear how you ended up with (21/44)n on the lhs",
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"id": 1064079764408774700,
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"timestamp": "01/15/2023 02:13:05",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 02:18:05",
"content": "@derrickjimmy014 Has your question been resolved?",
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"timestamp": "01/15/2023 02:33:06",
"content": "Channel closed",
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] | help-9 | 2195a633090d498a93cfdfe04692e14a |
200,781 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 02:34:06",
"content": "Available help channel!",
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},
{
"id": 1064088264505565200,
"author_id": 848264137843015700,
"author_name": "•Ｚｏｋａ•",
"timestamp": "01/15/2023 02:46:52",
"content": "1",
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"timestamp": "01/15/2023 02:46:52",
"content": "Pinned a message.",
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"content": "... @•Ｚｏｋａ• did you have a question to ask?",
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200,782 | [
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"content": "Can someone tell me where I did wrong sobb",
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"content": "Is that 1+cos(π/4) in the denominator of the first fraction?",
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"content": "Yes",
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"content": "Okay",
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"content": "sin 5pi/3 is -sqrt3/2",
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"timestamp": "01/15/2023 03:26:16",
"content": "Oh fudge",
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"content": "Wait",
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"content": "How?",
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"timestamp": "01/15/2023 03:29:18",
"content": "Like what you did but instead of 2+root2",
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"content": "You use 1+cos(π/4) and you will get a difference of 2 squares",
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"content": "Then you use a trig identity",
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"timestamp": "01/15/2023 03:30:25",
"content": "But we haven't studied trig identities yet",
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"timestamp": "01/15/2023 03:30:34",
"content": "Oh so you keep it",
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"timestamp": "01/15/2023 03:30:37",
"content": "It's our next lesson",
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"content": "You will get the same thing you did after you plug in the trig values",
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"content": "They're going to be super useful",
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"content": "Ohhh",
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"timestamp": "01/15/2023 03:31:23",
"content": "Alright I will go advance study",
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"content": "Thank you very much",
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"content": "I think you can simplify the original expression a lot before you even start evaluating",
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"content": "Oh wait you changed the numbers",
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"content": "Okay nvm ig",
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"content": "I'll do it one more time I'll send it here if I finally got the answer",
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"timestamp": "01/15/2023 03:32:41",
"content": "Hoepfullly is correct",
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"content": "Alright",
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"content": "I've been stuck in this question for the past 1 or 2 hours",
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"timestamp": "01/15/2023 03:33:15",
"content": "Yeah those take a while at the beginning",
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"content": "You get used to it after a bit",
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"content": "@raine Has your question been resolved?",
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] | help-9 | 5108cc1abca248098fc0e33e810e1882 |
200,783 | [
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"content": "Oh wow that's a lot",
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"timestamp": "01/15/2023 04:00:39",
"content": "But nice good job",
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"content": "Thank youu",
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"content": "Your derivative looks fine. Once you find the roots of the derivative, you need to do the higher order derivative test where you differentiate f'(x) again and plug in the value of the roots of the derivatives. The value of the higher order derivative tells us about the nature of our stationary point.",
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"author_id": 1053456932083605500,
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"timestamp": "01/15/2023 06:25:41",
"content": "why is part a answer like that",
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"content": "@Helpers",
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"timestamp": "01/15/2023 06:50:22",
"content": "@sunnnnnnn Has your question been resolved?",
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"timestamp": "01/15/2023 07:20:37",
"content": "@sunnnnnnn Has your question been resolved?",
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"id": 1064161812834164700,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/15/2023 07:39:07",
"content": "What a markscheme :monkey: not exactly clear on what they're doing",
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"id": 1064161885882163300,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/15/2023 07:39:24",
"content": "And what terrible notation too :monkey:",
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"id": 1064163151593095200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/15/2023 07:44:26",
"content": "As for why the part a holds, I'd say make a triangle like this tbh",
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"content": "You know it's gonna be equilateral, so you know what the sides marked in will be, and as |AB| = 2|OA| and |OA| = |OE| you can deduce that calling that top point P, that AP = 2a and |PB| = 2e",
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"content": "@sunnnnnnn Has your question been resolved?",
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"timestamp": "01/15/2023 09:34:01",
"content": "Channel closed",
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}
] | help-9 | c3bf118b65c14137b33779a60fe60420 |
200,786 | [
{
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"content": "Available help channel!",
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},
{
"id": 1064191460251029500,
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"content": ".close",
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"id": 1064191498477912200,
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"content": "Channel closed",
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}
] | help-9 | 98b0392afbb04da9a72b23973240298b |
200,787 | [
{
"id": 1035527180291153900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/28/2022 08:15:18",
"content": "Available help channel!",
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},
{
"id": 1035528056586121200,
"author_id": 239120643793092600,
"author_name": "zabesy",
"timestamp": "10/28/2022 08:18:47",
"content": "If we have $n+1$ points, wouldn't the system of equation include (assuming for each interval the interpolation polynomial of degree 3 equals the first and last point ($x_0$ and $x_n$ only one func)) be $2n$ functions?",
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"content": "Pinned a message.",
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"timestamp": "10/28/2022 08:18:51",
"content": "**zabesy**",
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"id": 1035528215009181800,
"author_id": 239120643793092600,
"author_name": "zabesy",
"timestamp": "10/28/2022 08:19:25",
"content": "or is \"system of n+1 equations\" referring to something different?",
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},
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"id": 1035531991019421700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/28/2022 08:34:25",
"content": "@zabesy Has your question been resolved?",
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"id": 1035537667334623400,
"author_id": 239120643793092600,
"author_name": "zabesy",
"timestamp": "10/28/2022 08:56:59",
"content": "While I'm at it.\n(red) -> number of knots to describe polynomial of degree p?\n(blue) -> the n is the number of intervals, as the function S will be discontinous when \"merging\" the functions p at the points when they meet?\n(purple) -> what does this mean?",
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"content": "@zabesy Has your question been resolved?",
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"timestamp": "10/28/2022 10:27:05",
"content": "@zabesy Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "10/28/2022 12:27:51",
"content": "@zabesy Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "10/28/2022 16:27:57",
"content": "@zabesy Has your question been resolved?",
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"id": 1035655107276181600,
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"author_name": "zabesy",
"timestamp": "10/28/2022 16:43:39",
"content": "@Helpers",
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},
{
"id": 1035761669365833900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2022 23:47:05",
"content": "you might have more luck in #topology-alg-top",
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"id": 1035761723652706300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2022 23:47:18",
"content": "also theres a guy who hangs out in chill whos into knot theory",
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"id": 1035801990107766800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 02:27:18",
"content": "@zabesy Has your question been resolved?",
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"author_name": "zabesy",
"timestamp": "10/29/2022 04:27:07",
"content": "Thanks but it’s actually numerical analysis and not topology",
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"id": 1035832464259698800,
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"author_name": "zabesy",
"timestamp": "10/29/2022 04:28:24",
"content": "The script I’m reading just writes knots as points sometimes so I accidentally caught up on it 😅",
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"id": 1036064774338908300,
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"author_name": "zabesy",
"timestamp": "10/29/2022 19:51:31",
"content": ".close",
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"id": 1036064778067660900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 19:51:32",
"content": "Channel closed",
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}
] | help-9 | c4ded27d83794ec7b635cdc3fa94eafd |
200,788 | [
{
"id": 1064193988871082100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 09:46:58",
"content": "Available help channel!",
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},
{
"id": 1064194676049055900,
"author_id": 748226963059114000,
"author_name": "CUTE °~° DEVIL",
"timestamp": "01/15/2023 09:49:42",
"content": "If 1/0=infinity\nThen does it mean that 0×infinity=1?",
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"id": 1064194677848416300,
"author_id": 805217272087838700,
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"timestamp": "01/15/2023 09:49:42",
"content": "Pinned a message.",
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"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/15/2023 09:50:37",
"content": "no",
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"id": 1064195203075932200,
"author_id": 394938706760302600,
"author_name": "heavy",
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"content": "1/0 is not infinity",
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"id": 1064195537731059700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/15/2023 09:53:07",
"content": "1/0 is not infinity because it can two possible outcomes",
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},
{
"id": 1064195542105735200,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/15/2023 09:53:09",
"content": "it's not defined",
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{
"id": 1064195563618324600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/15/2023 09:53:14",
"content": "Either the 0 is positive",
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},
{
"id": 1064195584300437500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/15/2023 09:53:19",
"content": "Or the 0 is negative",
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},
{
"id": 1064195616734982100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/15/2023 09:53:26",
"content": "And we don't know which sign 0 is",
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{
"id": 1064195638696353800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/15/2023 09:53:32",
"content": "So it's undefined",
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},
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"id": 1064195669235093600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/15/2023 09:53:39",
"content": "That's if you don't wanna get into calculus",
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"id": 1064198452319363100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 10:04:42",
"content": "@CUTE °~° DEVIL Has your question been resolved?",
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"id": 1064198627498664000,
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"author_name": "CUTE °~° DEVIL",
"timestamp": "01/15/2023 10:05:24",
"content": "Oo thanks to yall",
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"id": 1064198651297153200,
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"timestamp": "01/15/2023 10:05:30",
"content": "Channel closed",
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}
] | help-9 | 59b996aacea946d7a8c8693021466f67 |
200,789 | [
{
"id": 1064198903609688000,
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"timestamp": "01/15/2023 10:06:30",
"content": "Available help channel!",
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{
"id": 1064200027263733900,
"author_id": 333985625155960800,
"author_name": "Hound",
"timestamp": "01/15/2023 10:10:58",
"content": "Quick stupid question, I forgot what this notation means",
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"id": 1064200031747440800,
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"timestamp": "01/15/2023 10:10:59",
"content": "Pinned a message.",
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"id": 1064200067642306700,
"author_id": 333985625155960800,
"author_name": "Hound",
"timestamp": "01/15/2023 10:11:08",
"content": "The dot part",
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},
{
"id": 1064200093932212400,
"author_id": 333985625155960800,
"author_name": "Hound",
"timestamp": "01/15/2023 10:11:14",
"content": "N.u",
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},
{
"id": 1064200116300415100,
"author_id": 333985625155960800,
"author_name": "Hound",
"timestamp": "01/15/2023 10:11:19",
"content": "What does the dot represent?",
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},
{
"id": 1064200412145651800,
"author_id": 333985625155960800,
"author_name": "Hound",
"timestamp": "01/15/2023 10:12:30",
"content": "It doesn't make much sense to me, is it just a delimiter between the statements?",
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"id": 1064200576134545500,
"author_id": 333985625155960800,
"author_name": "Hound",
"timestamp": "01/15/2023 10:13:09",
"content": "It defines a level graph, so there exist some integer I, such that u is a vertex at level i and v is a vertex at level i + 1, this makes perfect sense, kind of rendering the dot useless",
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"id": 1064200668673495200,
"author_id": 333985625155960800,
"author_name": "Hound",
"timestamp": "01/15/2023 10:13:31",
"content": "I am used to using ; as delimiter between statements, so I just want to confirm :peepoThink:",
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 10:28:31",
"content": "@Hound Has your question been resolved?",
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"author_name": "Lexan",
"timestamp": "01/15/2023 10:46:04",
"content": "I think it's a typo and the author tried to write \":\". That makes the most sense to me since both are on the same keyboard key. A \":\" connects the statements before and after and translates roughly to \"such that\", as you have already said. A \";\" is a delimiter for two separate statements in all conventions I know, so the above would read \"there exists an integer i. Also, u is in L_i and v is in L_i+1\". That's rather nonsensical.",
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"content": "@Hound Has your question been resolved?",
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"timestamp": "01/15/2023 11:23:00",
"content": "Channel closed",
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] | help-9 | 32c4dd84c4ee456381caddff3f7798f0 |
200,790 | [
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"author_name": "will456",
"timestamp": "01/15/2023 11:33:44",
"content": "How do I do Root 18 divided by root 8?",
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"content": "im not sure how they arrived at force= cos45i+sin45j thing",
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"content": "can anyone please tell me how they arrived at that step",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/15/2023 11:36:26",
"content": "Dude.... Read rules",
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"timestamp": "01/15/2023 11:36:44",
"content": "i have sorry didnt realise there was",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/15/2023 11:36:45",
"content": "Nd u2 readRules",
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"author_name": "sadbutswag",
"timestamp": "01/15/2023 11:37:11",
"content": "alright",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:37:23",
"content": "What is the capital M",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/15/2023 11:37:47",
"content": "There's a physics server #network",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:37:58",
"content": "You can post ohysics stuff in here",
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"timestamp": "01/15/2023 11:38:02",
"content": "mass imo",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:38:04",
"content": "It ain't against the rules",
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"author_name": "sadbutswag",
"timestamp": "01/15/2023 11:38:08",
"content": "okay thank you!",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:38:27",
"content": "But then m = M according to the given info lol idk why they would make them different",
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"timestamp": "01/15/2023 11:38:55",
"content": "Ok mybaddd",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/15/2023 11:39:01",
"content": "Sorry",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:39:02",
"content": "Do you at least understand how they got $\\frac{GMm}{(\\sqrt 2 L)^2}$?",
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"author_name": "TeXit",
"timestamp": "01/15/2023 11:39:04",
"content": "**Umbraleviathan**",
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"timestamp": "01/15/2023 11:39:12",
"content": "exactly what i was thinking",
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"timestamp": "01/15/2023 11:39:16",
"content": "yes i did",
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"timestamp": "01/15/2023 11:39:35",
"content": "but i didnt understand how they converted to cos and sin form",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:39:52",
"content": "So that basically just gives you the magnitude of the force, which could be described as a vector from P to R",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:41:16",
"content": "Since PO = OR = L, we can use 45-45-90 triangle properties and understand that $||\\vec{PR}|| = \\vecb{\\cos(45) PR, \\sin(45) PR}$",
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"timestamp": "01/15/2023 11:41:32",
"content": "**Umbraleviathan**",
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"timestamp": "01/15/2023 11:41:36",
"content": "ah so PO=cos45i and OR=sin45j",
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"timestamp": "01/15/2023 11:41:40",
"content": "I guess",
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"timestamp": "01/15/2023 11:41:53",
"content": "idk what's up with the hatted i and j",
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"timestamp": "01/15/2023 11:41:55",
"content": "and adding the two vectors gives PR",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:41:59",
"content": "Yeah",
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"timestamp": "01/15/2023 11:42:03",
"content": "its the unit vectors",
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"timestamp": "01/15/2023 11:42:08",
"content": "Which is what I assumed",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:42:26",
"content": "But then even then idk what vector they're referring to",
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"timestamp": "01/15/2023 11:42:31",
"content": "Which I guess PR",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:42:48",
"content": "Oh no I see",
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"timestamp": "01/15/2023 11:42:55",
"content": "i and j are just the components",
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"author_name": "sadbutswag",
"timestamp": "01/15/2023 11:43:23",
"content": "yeah",
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"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:43:24",
"content": "Yeah nvm dw about the i and j",
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"id": 1064223337133396000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/15/2023 11:43:35",
"content": "They put the vector in ij notation (which sucks)",
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"timestamp": "01/15/2023 11:44:25",
"content": "lmao agreed, i and j just gives the direction of the force",
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"id": 1064223564531761300,
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"timestamp": "01/15/2023 11:44:30",
"content": "i think i got it now",
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"author_name": "sadbutswag",
"timestamp": "01/15/2023 11:44:34",
"content": "thank you!",
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"timestamp": "01/15/2023 11:44:39",
"content": "np",
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"timestamp": "01/15/2023 11:44:41",
"content": ".close",
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},
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 11:44:42",
"content": "Channel closed",
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] | help-9 | 794d54a4894d49f89909c18c09006bd2 |
200,791 | [
{
"id": 1064225052888928400,
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"timestamp": "01/15/2023 11:50:24",
"content": "Available help channel!",
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{
"id": 1064227028884271200,
"author_id": 693414993281941500,
"author_name": "M.",
"timestamp": "01/15/2023 11:58:16",
"content": "I was able to solve these problems but im confused on the rule. I was finding equivalent expressions \nWhy is J+ J + 2K not equal to 2J+2K (i had three choices, the anserr was that none were equivalent)? I thought you combine like terms so J+J could equal 2J so it'd be 2J +2K? On another problem x+2y+x+2 is equivalent to 2(x+y+1). The two x's became 2x. It's 2x+2y+2",
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"timestamp": "01/15/2023 11:58:16",
"content": "Pinned a message.",
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"id": 1064227301618884600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/15/2023 11:59:21",
"content": ">J+ J + 2K not equal to 2J+2K",
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},
{
"id": 1064227324473638900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/15/2023 11:59:26",
"content": "it is equal",
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},
{
"id": 1064227714128683100,
"author_id": 693414993281941500,
"author_name": "M.",
"timestamp": "01/15/2023 12:00:59",
"content": "How about 2JK? I think I meant to put this",
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},
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"id": 1064228445099401300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/15/2023 12:03:53",
"content": "JK + JK = 2JK",
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},
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"id": 1064228712310112400,
"author_id": 693414993281941500,
"author_name": "M.",
"timestamp": "01/15/2023 12:04:57",
"content": "Oh okay, this helps so much thank you!",
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"timestamp": "01/15/2023 12:19:57",
"content": "@M. Has your question been resolved?",
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"timestamp": "01/15/2023 12:25:34",
"content": "Channel closed",
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}
] | help-9 | d1bc551fd31f45499856dbd16d91497c |
200,792 | [
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 12:26:34",
"content": "Available help channel!",
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"author_id": 245128935082426370,
"author_name": "Anders",
"timestamp": "01/15/2023 12:32:51",
"content": "Question regarding the last statement in this image. If I recall correctly, vector spaces are always defined over fields (e.g. \\R or \\C). This being the case, \\Z^3 is not closed under scalar multiplication because there exists scalars (for example \\lambda = 3/2) such that multiplying an element in \\Z^3 by this scalar yields an element that is not contained in \\Z^3. Is this correct or am I wrong?",
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"content": "Pinned a message.",
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"content": "@Anders Has your question been resolved?",
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"author_name": "Zybikron",
"timestamp": "01/15/2023 12:54:30",
"content": "I think you are correct. Most vector space definitions specify that scalars come from fields",
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"timestamp": "01/15/2023 12:56:24",
"content": "Yeah that is what confuses me, it is not specified where the scalars are from",
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"author_name": "Zybikron",
"timestamp": "01/15/2023 12:56:56",
"content": "check your definition. if it includes the field part, then Z^n is not a vector space over any field.",
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"timestamp": "01/15/2023 12:57:20",
"content": "Yeah I'll check the textbook, thanks",
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"timestamp": "01/15/2023 12:57:36",
"content": "even if it doesn't, Z^n would only be a vector space under certain conditions (namely the scalars are integers)",
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"timestamp": "01/15/2023 13:27:20",
"content": "@Anders Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | df6edd47ec674196b0485dbe32adebe6 |
200,793 | [
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"content": "Available help channel!",
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"id": 1064258268547002400,
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"content": "If you have friction force do u calculate A = F* S or A = F+F(friction) * S",
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"timestamp": "01/15/2023 14:10:12",
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"content": "Define all your variables and state the problem you're solving",
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"content": "@Wixfall Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | d71bfb87848f45809eb782b901e79125 |
200,794 | [
{
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"timestamp": "01/15/2023 14:35:38",
"content": "Available help channel!",
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},
{
"id": 1064269041214181500,
"author_id": 1046876681094303700,
"author_name": "Chippotle Maths",
"timestamp": "01/15/2023 14:45:12",
"content": "I'm having issues setting up this integral which are restricted by the given 4 lines.",
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"content": "I started off by grapphing the lines on desmos and realizing that the yellow area is what my boundaries are representing",
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"timestamp": "01/15/2023 14:46:50",
"content": "I calculated that the intersection between the purple and red line are x=-29/17 and the green and blue line intersect at 29/17",
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"timestamp": "01/15/2023 14:47:25",
"content": "That gives me that my x integral limits are from -29/17 to 29/17",
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"timestamp": "01/15/2023 14:48:38",
"content": "and my y values are represented by the red and blue line, resulting in this integral",
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"timestamp": "01/15/2023 14:48:47",
"content": "Which is wrong. I really am clueless on how to approach this now",
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"author_name": "Chippotle Maths",
"timestamp": "01/15/2023 14:48:52",
"content": "Could someone please guide me",
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 15:03:52",
"content": "@Chippotle Maths Has your question been resolved?",
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"timestamp": "01/15/2023 15:08:31",
"content": "Show how you found your integral limits here",
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"content": "Channel closed",
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] | help-9 | c804e459ac7c4ab297f68643fe6de2cb |
200,795 | [
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"content": "Available help channel!",
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"author_name": "Burd",
"timestamp": "01/15/2023 15:24:58",
"content": "Hello I do not understand the following step in this question:\n\nThe following system of equations has MANY SOLUTIONS. Answer the\nfollowing questions: (i) What are its basic solutions? (ii) What is its particular solution?\n(iii) Give the general solution in terms of its basic solutions and the particular solution.\n\nc + d = 1\na + 2b + d = 2\na + 2b − c = 1\n\nGaussian elimination gets me to (first picture) \n\nAnd then it tells me that I have to follow up with (second picture)\nbut I do not know how he equals (a b c d) = (1 0 1 -1)",
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"content": "Pinned a message.",
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"timestamp": "01/15/2023 15:39:59",
"content": "@Burd Has your question been resolved?",
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"timestamp": "01/15/2023 15:54:53",
"content": "@Helpers",
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"author_id": 805217272087838700,
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"timestamp": "01/15/2023 16:24:53",
"content": "@Burd Has your question been resolved?",
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"timestamp": "01/15/2023 16:34:42",
"content": "Anyone that can help me out?",
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"id": 1064311220607402100,
"author_id": 325037300398555140,
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"timestamp": "01/15/2023 17:32:48",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | e4581cfaf8e249aca853b263b77f5d78 |
200,796 | [
{
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"timestamp": "01/15/2023 17:33:50",
"content": "Available help channel!",
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},
{
"id": 1064311533410209900,
"author_id": 867205815928881200,
"author_name": "Arten",
"timestamp": "01/15/2023 17:34:03",
"content": "So far im doing quite well on the practice test but im a bit stuck on this particular question",
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"timestamp": "01/15/2023 17:34:04",
"content": "Pinned a message.",
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"id": 1064311610719609000,
"author_id": 867205815928881200,
"author_name": "Arten",
"timestamp": "01/15/2023 17:34:21",
"content": "Im also unsure how the tickets would affect it",
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"id": 1064311646664790300,
"author_id": 867205815928881200,
"author_name": "Arten",
"timestamp": "01/15/2023 17:34:30",
"content": "I have a feeling its n! (n factorial)",
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 17:49:30",
"content": "@Arten Has your question been resolved?",
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"author_id": 560122149126275100,
"author_name": "Civil Service Pigeon",
"timestamp": "01/15/2023 18:02:40",
"content": "10. Find the probability that Kobe wins and the probability that Dianna wins and multiply\n11. (Probability he wins the first time)(Probability he wins the second time)\n12. This also uses the multiplication principle, but see if you can figure it out using 10 and 11 as reference",
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"author_name": "Arten",
"timestamp": "01/15/2023 18:03:51",
"content": "Gotcha thank tou!",
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"timestamp": "01/15/2023 18:33:52",
"content": "@Arten Has your question been resolved?",
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"timestamp": "01/15/2023 19:03:52",
"content": "Channel closed",
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}
] | help-9 | bacee5f0b52d45d1b03cdfc510eb623c |
200,797 | [
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"timestamp": "01/15/2023 19:04:52",
"content": "Available help channel!",
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},
{
"id": 1064335753276043300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 19:10:17",
"content": "Pinned a message.",
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"timestamp": "01/15/2023 19:10:33",
"content": "Channel closed",
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] | help-9 | 89f5f83c343442aeac45189b8760e754 |
200,798 | [
{
"id": 1036065029465845900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 19:52:32",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1036065357942771800,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 19:53:50",
"content": "How would I solve this? (You have to find the other zeros)",
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"timestamp": "10/29/2022 19:53:51",
"content": "Pinned a message.",
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"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 19:54:25",
"content": "Based on this, you have two zeros already: (x - 3 + i)(x + 3 - i)",
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"author_name": "babytronfan221",
"timestamp": "10/29/2022 19:54:38",
"content": "When multipled, I got x^2 + 6i + 8",
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"author_name": "babytronfan221",
"timestamp": "10/29/2022 19:55:08",
"content": "I used long division to divide 4x^3 + 23x^2 + 34x - 10 by x^2 + 6i + 8",
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"id": 1036065720129306600,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 19:55:16",
"content": "this is where I don't know what to do",
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},
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"id": 1036065934034612400,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 19:56:07",
"content": "Help would be appreciated!",
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},
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"id": 1036065965949067300,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 19:56:15",
"content": "😁😁",
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},
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"id": 1036068400784474100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:05:55",
"content": "The multiplication by the complex conjugate should yield a real polynomial",
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"id": 1036068432547954700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:06:03",
"content": "Where are you getting 6i?",
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"id": 1036068557110395000,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 20:06:33",
"content": "i don't know, that's what i got; i also used a calculator to check my work afterwards, it's right i think.",
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"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:06:52",
"content": "Let me show you your problem",
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"id": 1036068695593734100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:07:06",
"content": "What is the conjugate of -3+i",
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"id": 1036068793258094700,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 20:07:29",
"content": "-3 - i",
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},
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"id": 1036068811893391400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:07:33",
"content": "Yep",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:07:57",
"content": "So if (x-(-3+i)) is a factor of your polynomial, what is the conjugate factor",
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"id": 1036068976859562000,
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"author_name": "babytronfan221",
"timestamp": "10/29/2022 20:08:13",
"content": "x+(-3+i)",
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},
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"id": 1036069021084299300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:08:23",
"content": "Why did you change it to a plus sign",
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},
{
"id": 1036069071260754000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:08:35",
"content": "That would give you the negative instead of the conjugate",
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"id": 1036069136788365400,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 20:08:51",
"content": "x - (-3 - i)",
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},
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"id": 1036069157285933200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:08:56",
"content": "Yes",
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"id": 1036069340191137900,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:09:39",
"content": "Now try multiplying:",
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"id": 1036069422466609200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/29/2022 20:09:59",
"content": "(x-(-3+i))(x-(-3-i))",
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},
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"id": 1036069645607764100,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 20:10:52",
"content": "ohhh, i got it",
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"id": 1036069650368299100,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 20:10:53",
"content": "thanks!",
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},
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"id": 1036069654877184100,
"author_id": 501064958940020740,
"author_name": "babytronfan221",
"timestamp": "10/29/2022 20:10:54",
"content": ".close",
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"id": 1036069657888702600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 20:10:55",
"content": "Channel closed",
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}
] | help-9 | 514e63e6f4334a9ba150e4224e4d1975 |
200,799 | [
{
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"timestamp": "01/15/2023 19:20:20",
"content": "Available help channel!",
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"id": 1064338537891242100,
"author_id": 541071309220741100,
"author_name": "cre",
"timestamp": "01/15/2023 19:21:21",
"content": "can someone explain how it went from step one to step two",
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"content": "Pinned a message.",
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"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/15/2023 19:21:51",
"content": "$\\frac{x^a}{x^b} = x^{a-b}$",
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"timestamp": "01/15/2023 19:21:53",
"content": "**tushar**",
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"timestamp": "01/15/2023 19:23:00",
"content": "boy what the hell boy",
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"timestamp": "01/15/2023 19:23:36",
"content": "this is a property of exponents",
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"timestamp": "01/15/2023 19:23:50",
"content": "yeah i know but",
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"author_id": 541071309220741100,
"author_name": "cre",
"timestamp": "01/15/2023 19:24:05",
"content": "how did it get 3/4",
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"author_name": "tushar",
"timestamp": "01/15/2023 19:24:33",
"content": "$\\frac{6^1}{6^{\\frac{1}{4}}} = 6^{1-\\frac{1}{4}}$",
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"id": 1064339353649815700,
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"timestamp": "01/15/2023 19:24:36",
"content": "**tushar**",
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"timestamp": "01/15/2023 19:24:58",
"content": "OHHH",
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"id": 1064339459551793200,
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"author_name": "cre",
"timestamp": "01/15/2023 19:25:01",
"content": "thank you",
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},
{
"id": 1064339971122671700,
"author_id": 541071309220741100,
"author_name": "cre",
"timestamp": "01/15/2023 19:27:03",
"content": ".close",
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"id": 1064339974264197100,
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 19:27:04",
"content": "Channel closed",
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] | help-9 | 80d2237d8f0f43efaf61ff92fb9f6e20 |
200,800 | [
{
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"content": "Available help channel!",
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},
{
"id": 1064343666400972800,
"author_id": 425573014885629950,
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"timestamp": "01/15/2023 19:41:44",
"content": "rearranging equation into general form",
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"id": 1064343668359696400,
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"content": "Pinned a message.",
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"content": "help",
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{
"id": 1064344153972031500,
"author_id": 425573014885629950,
"author_name": "tex",
"timestamp": "01/15/2023 19:43:40",
"content": "i don’t know where to begin with",
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"id": 1064344330648682500,
"author_id": 646375445192769500,
"author_name": "Sampdoriano",
"timestamp": "01/15/2023 19:44:22",
"content": "so an equation of a straight line can be written as",
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"timestamp": "01/15/2023 19:44:28",
"content": "y = mx + c",
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"id": 1064344430603153500,
"author_id": 646375445192769500,
"author_name": "Sampdoriano",
"timestamp": "01/15/2023 19:44:46",
"content": "where c is the y value where x = 0",
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"id": 1064344462228197400,
"author_id": 646375445192769500,
"author_name": "Sampdoriano",
"timestamp": "01/15/2023 19:44:54",
"content": "or where the line crosses the y-axis",
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"author_id": 646375445192769500,
"author_name": "Sampdoriano",
"timestamp": "01/15/2023 19:45:03",
"content": "and m is the slope/gradient",
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"id": 1064344528540143700,
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"timestamp": "01/15/2023 19:45:10",
"content": "so y=0?",
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"author_name": "Sampdoriano",
"timestamp": "01/15/2023 19:45:41",
"content": "ano cause then you would rearrange it to get to Ax + By + c = 0",
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"id": 1064344694760415400,
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"timestamp": "01/15/2023 19:45:49",
"content": "but there are no numbers in the graph how am i supposed to identify the variables in Ax+By+ c = 0",
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"timestamp": "01/15/2023 19:45:52",
"content": "first off just find where x = 0 and the gradient",
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"timestamp": "01/15/2023 19:46:11",
"content": "i dont rlly know how bcz this is the first time im taking general form",
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"timestamp": "01/15/2023 19:46:22",
"content": "okay thats fine",
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"id": 1064344900738482300,
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"author_name": "Sampdoriano",
"timestamp": "01/15/2023 19:46:38",
"content": "can you tell me the y value where the line crosses the y - axis?",
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"id": 1064344998579019800,
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"timestamp": "01/15/2023 19:47:02",
"content": "-1",
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"id": 1064345025636474900,
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"timestamp": "01/15/2023 19:47:08",
"content": "i think",
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"timestamp": "01/15/2023 19:48:15",
"content": "so thats where",
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"timestamp": "01/15/2023 19:48:22",
"content": "Look at the values on the axes",
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"timestamp": "01/15/2023 19:48:23",
"content": "it cross the x -axis",
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"id": 1064345379493126300,
"author_id": 646375445192769500,
"author_name": "Sampdoriano",
"timestamp": "01/15/2023 19:48:33",
"content": "the y axis is up and down",
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"id": 1064345396673007700,
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"timestamp": "01/15/2023 19:48:37",
"content": "ohhhh",
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"author_id": 646375445192769500,
"author_name": "Sampdoriano",
"timestamp": "01/15/2023 19:48:37",
"content": "x - axis is left and right",
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"id": 1064345420827988000,
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"timestamp": "01/15/2023 19:48:42",
"content": "but the line ends at 6",
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"content": "",
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"timestamp": "01/15/2023 19:49:12",
"content": "yes but that doesnt stop you from finding where it crosses the up and down axis",
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"timestamp": "01/15/2023 19:49:45",
"content": "so where do i look for",
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"author_name": "dldh06",
"timestamp": "01/15/2023 19:50:08",
"content": "You know the slope intercept form of a line, y = mx + b",
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"timestamp": "01/15/2023 19:50:27",
"content": "the point where your line crosses the line with the arrow indicating up with \"y\"",
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"timestamp": "01/15/2023 19:50:29",
"content": "You need to identify the slope and the y intercept",
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"timestamp": "01/15/2023 19:50:32",
"content": "thats for normal slope right?",
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"timestamp": "01/15/2023 19:50:56",
"content": "bcz for y intercept it would be",
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"timestamp": "01/15/2023 19:51:03",
"content": "0 = mx+b",
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"timestamp": "01/15/2023 19:51:12",
"content": "right?",
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"timestamp": "01/15/2023 19:51:30",
"content": "No",
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"timestamp": "01/15/2023 19:51:37",
"content": "This video might help https://www.youtube.com/watch?v=mmWf_oLTNSQ&ab_channel=Mathispower4u",
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"author_name": "tex",
"timestamp": "01/15/2023 19:52:08",
"content": "how do you search up stuff for math questions bcz when i do it i never find accurate stuff",
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"author_name": "dldh06",
"timestamp": "01/15/2023 19:53:08",
"content": "I mean, you have a line and a graph, no equation so \"how to find equation of a line from graph\"",
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"timestamp": "01/15/2023 19:55:35",
"content": "and do u have any tips on how to study and actually teach myself mathematics",
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"timestamp": "01/15/2023 19:56:01",
"content": "Khan academy",
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"timestamp": "01/15/2023 19:56:40",
"content": "okay so this is what ive done so far",
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"timestamp": "01/15/2023 19:58:28",
"content": "Both aren't correct",
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"timestamp": "01/15/2023 19:58:57",
"content": "oh",
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"timestamp": "01/15/2023 19:59:21",
"content": "To find the slope, you want to count how many grid squares from one point to the next one, points that are on the line",
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"timestamp": "01/15/2023 19:59:30",
"content": "Not from the axes",
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"timestamp": "01/15/2023 19:59:42",
"content": "but theres only 1 point",
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"timestamp": "01/15/2023 19:59:49",
"content": "which is the one 3 blocks away from 6",
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"timestamp": "01/15/2023 20:00:08",
"content": "And the y intercept, is where it crosses the *y axis*",
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"timestamp": "01/15/2023 20:00:22",
"content": "You can find other points",
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"timestamp": "01/15/2023 20:00:30",
"content": "You have the line on the paper",
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"timestamp": "01/15/2023 20:00:34",
"content": "And the axes",
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"author_name": "dldh06",
"timestamp": "01/15/2023 20:01:16",
"content": "Like (-1, 0) is a point on that line, correct?",
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"id": 1064348808324055000,
"author_id": 425573014885629950,
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"timestamp": "01/15/2023 20:02:10",
"content": "where",
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"id": 1064348861956636700,
"author_id": 425573014885629950,
"author_name": "tex",
"timestamp": "01/15/2023 20:02:23",
"content": "the one on the x axis?",
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"author_name": "dldh06",
"timestamp": "01/15/2023 20:03:10",
"content": "You are trying to identify two points on that line, any two points",
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"timestamp": "01/15/2023 20:03:19",
"content": "(-1, 0) is a point that is on that line",
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"id": 1064350062819430500,
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"timestamp": "01/15/2023 20:07:09",
"content": "the one thats going up and down or the left and right one",
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"author_name": "dldh06",
"timestamp": "01/15/2023 20:07:22",
"content": "What?",
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"author_name": "dldh06",
"timestamp": "01/15/2023 20:07:41",
"content": "Do you not know what axes on a graph are?",
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"id": 1064350222395916400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/15/2023 20:07:47",
"content": "Like x axis, y axis?",
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"id": 1064350246144053200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/15/2023 20:07:53",
"content": "And how to read a graph?",
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"id": 1064350603918192800,
"author_id": 425573014885629950,
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"timestamp": "01/15/2023 20:09:18",
"content": "no not really",
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"timestamp": "01/15/2023 20:09:22",
"content": "sorry :(",
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"id": 1064350674235695100,
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"timestamp": "01/15/2023 20:09:35",
"content": "y axis is the line that goes up and down",
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"timestamp": "01/15/2023 20:09:39",
"content": "and x goes left and right",
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"id": 1064350699607052400,
"author_id": 425573014885629950,
"author_name": "tex",
"timestamp": "01/15/2023 20:09:41",
"content": "correct?",
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"author_name": "dldh06",
"timestamp": "01/15/2023 20:09:46",
"content": "Yes",
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"id": 1064350978146578400,
"author_id": 425573014885629950,
"author_name": "tex",
"timestamp": "01/15/2023 20:10:47",
"content": "im confused",
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"id": 1064351123441471600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/15/2023 20:11:22",
"content": "https://www.youtube.com/watch?v=_521Kngg9ls&ab_channel=MathandScience",
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"id": 1064351176969167000,
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"author_name": "dldh06",
"timestamp": "01/15/2023 20:11:35",
"content": "Sounds like you need this",
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"id": 1064351252982542500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/15/2023 20:11:53",
"content": "Then, using that, you can determine two points that are on that line",
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"id": 1064351299191189600,
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"author_name": "dldh06",
"timestamp": "01/15/2023 20:12:04",
"content": "If you are still stuck, I suggest asking your teacher",
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"id": 1064352029931221100,
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"timestamp": "01/15/2023 20:14:58",
"content": "alr",
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"author_name": "Mathematics Bot",
"timestamp": "01/15/2023 20:29:58",
"content": "@tex Has your question been resolved?",
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"timestamp": "01/15/2023 20:44:59",
"content": "Channel closed",
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}
] | help-9 | 31e200406f62456a90f23b4030717e64 |
200,801 | [
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"timestamp": "01/15/2023 20:45:59",
"content": "Available help channel!",
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"id": 1064360665592103000,
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"author_name": "dabble",
"timestamp": "01/15/2023 20:49:17",
"content": "how to calculate the sum of $\\sum_{n=0}^{\\infty} \\frac {(-1)^n}{n}$ and $\\sum_{n=0}^{\\infty} \\frac{1}{n^2}$",
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"content": "i know those are classics but i dont know how to search for them",
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"content": "can't find them on stack",
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"content": "**dabble**",
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"content": ".close",
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] | help-9 | 04ea3ffcf7184162bb2d30bae94e6408 |
200,802 | [
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"content": "Available help channel!",
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] | help-9 | b0362cc4847d41888f04a0d800445c61 |
200,803 | [
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"content": "Available help channel!",
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"author_name": "Highway Of Tears",
"timestamp": "01/15/2023 21:47:15",
"content": "Is my understanding here correct? -5 is the decay rate, and 16 is the carrying capacity\n$dA/dt = -5A\\left(1-\\frac{A}{16}\\right)$",
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"timestamp": "01/15/2023 21:47:18",
"content": "**Highway Of Tears**",
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"timestamp": "01/15/2023 21:53:12",
"content": "I think you may be thinking too hard about this. If A is the volume of water in the tank, then note that dA/dt = inflow - outflow = 3-8 = -5",
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"content": "you have A(0) = 16,",
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"timestamp": "01/15/2023 21:54:09",
"content": "and at some t0, you'll have A(t0) = 0 so you'll need to figure out when that is",
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"timestamp": "01/15/2023 21:56:56",
"content": "yeah but that doesn't hold true after it's empty, no?",
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"timestamp": "01/15/2023 21:57:30",
"content": "it can't keep losing water once it reaches 0",
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"timestamp": "01/15/2023 21:57:47",
"content": "da/dt = -5 implies linear",
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"timestamp": "01/15/2023 22:12:47",
"content": "@Highway Of Tears Has your question been resolved?",
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"timestamp": "01/15/2023 22:15:43",
"content": "@Helpers",
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"id": 1064383888455127200,
"author_id": 907037332480352300,
"author_name": "Turtle Life",
"timestamp": "01/15/2023 22:21:34",
"content": "Hi",
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"author_id": 907037332480352300,
"author_name": "Turtle Life",
"timestamp": "01/15/2023 22:21:45",
"content": "What's going on here?",
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"author_name": "OssihLikesBlue",
"timestamp": "01/15/2023 22:22:39",
"content": "Yes, that's what I mean find out when that is. So you'll have a piecewise linear solution that looks like A(t) = 16 - 5t for t < t0, 0 for t ≥ 0",
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"timestamp": "01/15/2023 22:24:42",
"content": "Im trying to figure out a differential equation to describe the question above",
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"author_name": "Turtle Life",
"timestamp": "01/15/2023 22:26:46",
"content": "I'm not there yet, academically, but RelU is a thing",
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"author_name": "OssihLikesBlue",
"timestamp": "01/15/2023 22:28:10",
"content": "So the differential equation is dA/dt = -5 (as we noted above because of inflows and outflows), which gives A = -5t+C. Use the initial condition of (0, 16) and you get A(t) = 16-5t. Obvioulsy this can't be fully right because the tank will be empty at some point. So let's find that point. It's when A = 0 so 16-5t = 0 ti.e. t= 16/5\n\nSo, the final solution is A(t) = 16 - 5t for t ≤ 16/5, 0 for t > 16/5",
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"timestamp": "01/15/2023 22:29:11",
"content": "Oh",
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"author_name": "Turtle Life",
"timestamp": "01/15/2023 22:29:21",
"content": "So you're doing peicewise",
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"author_name": "Highway Of Tears",
"timestamp": "01/15/2023 22:29:23",
"content": "I appreciate your help, but that's not the answer. Thank you",
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"timestamp": "01/15/2023 22:29:26",
"content": ".close",
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"id": 1064385870502842400,
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"timestamp": "01/15/2023 22:29:26",
"content": "Channel closed",
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] | help-9 | 06332f120b75410ba2d006d14a9e3429 |
200,804 | [
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"timestamp": "01/16/2023 06:04:33",
"content": "Find the moment of the stone from the wheel and equate it to the moment of the force from the wheel",
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"content": "Ok ty",
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"author_name": "VulcanOne",
"timestamp": "01/16/2023 06:05:18",
"content": "Do you know your distances?",
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"content": "Yes",
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"timestamp": "01/16/2023 06:15:08",
"content": "The answer is 20?",
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"author_name": "Isak",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | ce7f18d533e949da92eeba91d368dd09 |
200,805 | [
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] | help-9 | d9f54e0d03134c1e94d5829dbcf10113 |
200,806 | [
{
"id": 1064512853496823800,
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"id": 1064514533114249200,
"author_id": 214072601096618000,
"author_name": "Rhino",
"timestamp": "01/16/2023 07:00:42",
"content": "How many invertible elements has the group (ZN)*with modulus N=937,399,499=17×53×1019×1021?",
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"timestamp": "01/16/2023 07:00:50",
"content": "could someone explain how to calculate this?",
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"id": 1064514612843778000,
"author_id": 214072601096618000,
"author_name": "Rhino",
"timestamp": "01/16/2023 07:01:01",
"content": "The answer is supposed to be: 863,915,520",
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"id": 1064515336206033000,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/16/2023 07:03:53",
"content": "An integer is invertible modulo m if and only if it is relatively prime to m",
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"author_name": "A Lonely Bean",
"timestamp": "01/16/2023 07:04:37",
"content": "Meaning that this is the same as asking \"How many elements are relatively prime to 937,399,499?\"",
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"timestamp": "01/16/2023 07:04:44",
"content": "Same as phi(937,399,499)",
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"id": 1064515600417833000,
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"author_name": "A Lonely Bean",
"timestamp": "01/16/2023 07:04:56",
"content": "The prime factorisation given should help in calculating this number",
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"id": 1064516115209928800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/16/2023 07:06:59",
"content": "In case you haven't seen these, here they are",
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"author_name": "Rhino",
"timestamp": "01/16/2023 07:12:24",
"content": "im confused as to how to use this equation",
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"content": "this is the equation I need to use right",
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"timestamp": "01/16/2023 07:13:32",
"content": "That can be simplified to the 1st formula that I sent",
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"content": "Using that will be easier I think",
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"timestamp": "01/16/2023 07:14:28",
"content": "Alright do it like this",
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"timestamp": "01/16/2023 07:15:02",
"content": "phi(17 * 53 * 1019 * 1021) = phi(17) * phi(53) * phi(1019) * phi(1021) = 16 * 52 * 1018 * 1020",
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"timestamp": "01/16/2023 07:15:04",
"content": "That's it",
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"content": "ah i see",
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"timestamp": "01/16/2023 07:16:33",
"content": "so its just the multiplication of minus of each prime factor",
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"content": "since Phi = primefactor -1 right",
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"content": "Yeah",
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"content": "phi(p) = p - 1 where p is a prime",
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"timestamp": "01/16/2023 07:23:58",
"content": "It's get slightly more complicated if we had prime powers larger than just 1 though",
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"timestamp": "01/16/2023 07:24:23",
"content": "I see",
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"timestamp": "01/16/2023 07:24:25",
"content": "thanks",
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"id": 1064520508139384800,
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"author_name": "Rhino",
"timestamp": "01/16/2023 07:24:26",
"content": "whats e?",
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"id": 1064523021546696800,
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"author_name": "A Lonely Bean",
"timestamp": "01/16/2023 07:34:26",
"content": "Prime power",
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"id": 1064523056103571600,
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"author_name": "A Lonely Bean",
"timestamp": "01/16/2023 07:34:34",
"content": "In this case",
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"timestamp": "01/16/2023 07:39:34",
"content": "@Rhino Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 633e17aad1164ae6adf4869203a4368d |
200,807 | [
{
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"content": "Available help channel!",
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"id": 1064530199192031200,
"author_id": 942512262487351300,
"author_name": "Elie Makdissi",
"timestamp": "01/16/2023 08:02:57",
"content": "hello, if y=x^2, then what is d/dy(dy/dx)?",
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"content": "@Elie Makdissi Has your question been resolved?",
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"content": "No",
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"timestamp": "01/16/2023 08:48:38",
"content": "@Elie Makdissi Has your question been resolved?",
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"timestamp": "01/16/2023 08:48:57",
"content": "no",
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"id": 1064550056922992600,
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"author_name": "Elie Makdissi",
"timestamp": "01/16/2023 09:21:51",
"content": "@Helpers",
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{
"id": 1064553294309109900,
"author_id": 844457788100051000,
"author_name": "FeelingGood",
"timestamp": "01/16/2023 09:34:43",
"content": "Wolfram alpha is not substituting x=√y, so when doing partial derivative of (dy/dx) wrt y it gives 0",
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"id": 1064565157755371500,
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"timestamp": "01/16/2023 10:21:52",
"content": "@Elie Makdissi Has your question been resolved?",
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"author_name": "Elie Makdissi",
"timestamp": "01/16/2023 10:23:23",
"content": "please see this to understand what i mean\nhttps://discord.com/channels/268882317391429632/1064540643512307802",
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"timestamp": "01/16/2023 10:31:08",
"content": "Alright, thank you!",
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"timestamp": "01/16/2023 10:31:26",
"content": "I also thinks your steps are right!",
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"content": "no thank you",
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"content": "oh yess phewww",
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"content": "Hey but, is that substitution allowed?...",
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"content": "Coz if we see it graphically, 2x is the slope of the curve y=x²",
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"content": "And we are derivating that value with respect to y",
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"timestamp": "01/16/2023 10:36:13",
"content": "Well I'm just in 12th, but I'm curious to learn about this topic😄",
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"timestamp": "01/16/2023 11:23:53",
"content": "hey again, sorry for being late",
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"timestamp": "01/16/2023 11:24:22",
"content": "yes you can because y=x^2 which means that x=+-sqrt(y)",
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"content": "It's ok",
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"timestamp": "01/16/2023 11:26:20",
"content": "Yeah I understand that algebrically, but I'm not able to understand it graphically",
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"content": "Our sir said, most of the hard problems are solved graphically, so that's why I'm trying to think in that way also",
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"timestamp": "01/16/2023 11:30:33",
"content": "you can imagine it graphically that 2x the slope is changing with resoect to x",
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"timestamp": "01/16/2023 11:31:06",
"content": "and x is changing with respect to y, so the slope is changing with respect to y",
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"timestamp": "01/16/2023 11:31:14",
"content": "2x changing with respect to x???",
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"author_name": "FeelingGood",
"timestamp": "01/16/2023 11:31:30",
"content": "So 2x changing wrt y",
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"timestamp": "01/16/2023 11:31:44",
"content": "yes",
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"timestamp": "01/16/2023 11:31:54",
"content": "Umm ok",
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"timestamp": "01/16/2023 11:32:48",
"content": "if you're not convinced, it's ok, because i 'm not sure 200%of that either",
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"timestamp": "01/16/2023 11:32:59",
"content": "that\"s why i'm asking here",
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"author_name": "Elie Makdissi",
"timestamp": "01/16/2023 11:33:04",
"content": "to learn smthng",
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"timestamp": "01/16/2023 11:33:08",
"content": "No no no, I'm totally convinced",
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"timestamp": "01/16/2023 11:33:14",
"content": "I just had a little doubt",
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"timestamp": "01/16/2023 11:33:29",
"content": "Me either!",
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"timestamp": "01/16/2023 11:33:42",
"content": "I'm learning from you^^",
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"timestamp": "01/16/2023 11:35:37",
"content": "Hey, double derivative gives the direction of curvature, right",
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"content": "I know it's not double derivative, just trying to make graph of it",
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"timestamp": "01/16/2023 11:40:44",
"content": "Is it correct?",
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"timestamp": "01/16/2023 11:42:09",
"content": "If my 2nd graph is correct then the slope of that graph will be equals to d(dy/dx)/dy",
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"content": "Is it wrong?...",
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"timestamp": "01/16/2023 13:21:22",
"content": "ummm i guess so...",
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"content": "no.. ?",
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"content": "Thank god",
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"content": "@Elie Makdissi Has your question been resolved?",
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"content": "yo @Elie Makdissi , you still didn't find an answer :opencry: ?",
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"content": "@Elie Makdissi Has your question been resolved?",
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] | help-9 | c1f81c726eda48369fcd0c5c81c4fd38 |
200,808 | [
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"timestamp": "01/16/2023 23:23:50",
"content": "Available help channel!",
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"content": "d/dy(dy/dx) for y = x^2 is equal to 2x.",
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"content": "😭i'll ask my professor",
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"content": "d/dy(2x) = 2x?",
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"content": "how's that",
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"timestamp": "01/16/2023 23:34:43",
"content": "how",
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"timestamp": "01/16/2023 23:34:43",
"content": "I'm saying I don't agree haha",
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"timestamp": "01/16/2023 23:34:50",
"content": "ah yess hahahaa",
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"content": "Are you looking for an answer to that?",
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"content": "To find d/dy(dy/dx) for y = x^2, we first find dy/dx using the chain rule. dy/dx = (dy/du) * (du/dx), where u = x^2. Since dy/du = 1, we have dy/dx = 1 * (du/dx) = 1 * 2x.\nThen, we take the derivative of dy/dx with respect to y. d/dy(dy/dx) = d/dy (1 * 2x) = 2x.",
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"timestamp": "01/16/2023 23:36:29",
"content": "ChatGPT?",
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"author_name": "Elie Makdissi",
"timestamp": "01/16/2023 23:37:43",
"content": "uuuummmmmm",
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"timestamp": "01/16/2023 23:37:58",
"content": "hahaha",
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"timestamp": "01/16/2023 23:38:07",
"content": "What is it",
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"content": "Weird start, saying you need the chain rule to differentiate y = x². That's nothing a human would ever say",
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"content": "that has got to be chatgpt",
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"timestamp": "01/16/2023 23:38:38",
"content": "but what it is",
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"timestamp": "01/16/2023 23:38:38",
"content": "indeed",
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"content": "whats chat gpt?",
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"timestamp": "01/16/2023 23:39:36",
"content": "large language model tuned with instructions + reinforcement learning",
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"timestamp": "01/16/2023 23:39:55",
"content": "ohh",
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"timestamp": "01/16/2023 23:40:18",
"content": "but i dont use it",
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"timestamp": "01/16/2023 23:42:55",
"content": "These were your own words?",
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"id": 1064767623641968600,
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"author_name": "Saccharine",
"timestamp": "01/16/2023 23:46:23",
"content": "I'm just going to leave this here",
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"timestamp": "01/16/2023 23:54:36",
"content": "Neat we have AI for detecting AI",
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"author_name": "Kaynex",
"timestamp": "01/16/2023 23:55:04",
"content": "When does the AI for detecting AI that detects AI come out?",
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"timestamp": "01/17/2023 00:00:04",
"content": "@3?2 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 0c081f9781e84e0c935127d00df644a1 |
200,809 | [
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"id": 1036069909895069800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 20:11:55",
"content": "Available help channel!",
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},
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"id": 1036070916385415200,
"author_id": 357932279231807500,
"author_name": "Xylochoron",
"timestamp": "10/29/2022 20:15:55",
"content": "Hello. I don’t know that much about topology, but I know a bit about undecidable problems. Anyway the point being, I found this on the Wikipedia page for “List of undecidable problems”:",
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"author_name": "Vort",
"timestamp": "10/29/2022 20:16:12",
"content": "u would use the conjugate root theorem",
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"timestamp": "10/29/2022 20:16:40",
"content": "Uhh what lol who are you talking to",
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"id": 1036071150121386000,
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"timestamp": "10/29/2022 20:16:51",
"content": "nvm",
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"id": 1036071185290633200,
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"author_name": "Vort",
"timestamp": "10/29/2022 20:16:59",
"content": "wait cljld u help me in",
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"id": 1036071215254736900,
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"author_name": "Vort",
"timestamp": "10/29/2022 20:17:06",
"content": "help #4",
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"author_id": 357932279231807500,
"author_name": "Xylochoron",
"timestamp": "10/29/2022 20:17:24",
"content": "Uh let me finish asking my question first lol",
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"author_name": "Xylochoron",
"timestamp": "10/29/2022 20:18:10",
"content": "Anyway I read about and think I have some understanding of what a simplical complex is and what it means for two objects to be homeomorphic.",
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"author_id": 357932279231807500,
"author_name": "Xylochoron",
"timestamp": "10/29/2022 20:19:14",
"content": "But it doesn’t seem intuitive to me that deciding if two *finite* simplical complexes are homeomorphic is undecideable",
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"author_name": "Xylochoron",
"timestamp": "10/29/2022 20:20:22",
"content": "A simplical complex is like, some points and lines and n-dimensional triangles or something like that. Couldn’t you just try like, systematically rearranging one in a finite number of ways to see if it matches the other or something? Thanks",
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"timestamp": "10/29/2022 20:35:22",
"content": "@Xylochoron Has your question been resolved?",
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"timestamp": "10/29/2022 20:44:05",
"content": "Let’s try @Helpers",
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"author_name": "Xylochoron",
"timestamp": "10/29/2022 20:44:54",
"content": "I get that this is probably a tricky question…",
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"timestamp": "10/29/2022 21:14:54",
"content": "@Xylochoron Has your question been resolved?",
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"author_name": "Xylochoron",
"timestamp": "10/29/2022 21:32:28",
"content": "Lol maybe the bot can wait to ask if it’s resolved until someone actually replies with *something*…",
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"id": 1036102793892728800,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/29/2022 22:22:35",
"content": "tbh it just depends on what helpers are around, available, and have topology knowledge.",
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"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/29/2022 22:22:52",
"content": "however, we do have dedicated channels, of which people are helpful (although as normal a reply isn't guaranteed)",
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"id": 1036102995290636400,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/29/2022 22:23:23",
"content": "feel free to visit #get-advanced-access, follow the instructions, then head to #topology-alg-top",
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"id": 1036103510841905200,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "10/29/2022 22:25:26",
"content": "hope that helps. I'm taking topology right now but that seems more like algebraic topology which is beyond the scope of my knowledge",
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"author_id": 357932279231807500,
"author_name": "Xylochoron",
"timestamp": "10/29/2022 22:43:10",
"content": "Thank you @MellowDramaLlama",
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"author_name": "Xylochoron",
"timestamp": "10/29/2022 22:43:34",
"content": "Actually I got someone else to help me on a different server! So I guess I’ll say",
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"timestamp": "10/29/2022 22:43:39",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 22:43:40",
"content": "Channel closed",
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] | help-9 | 9f44a497201543b8a9978601ab56475b |
200,810 | [
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"id": 1064776472511905800,
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"timestamp": "01/17/2023 00:21:33",
"content": "RAHHH",
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"content": "again?",
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"id": 1064776554770608100,
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"content": "whats the question",
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"id": 1064776578573279200,
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"timestamp": "01/17/2023 00:21:58",
"content": "this is wrong right",
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"id": 1064776637775892600,
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"content": "the integral?",
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"content": "yes",
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"id": 1064776658055331800,
"author_id": 825892892685893600,
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"timestamp": "01/17/2023 00:22:17",
"content": "ok",
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"timestamp": "01/17/2023 00:22:25",
"content": "@DerpZ",
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"timestamp": "01/17/2023 00:22:44",
"content": "integral of x^5 is 1/6 x^6 + C",
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"timestamp": "01/17/2023 00:22:47",
"content": "how do i integrate this then",
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"content": "expand",
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"timestamp": "01/17/2023 00:23:06",
"content": "wait how did the ^2 disappear",
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"author_name": "...1",
"timestamp": "01/17/2023 00:23:26",
"content": "reversal of differentiation using integration",
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"id": 1064776997110296600,
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"timestamp": "01/17/2023 00:23:38",
"content": "which meansss",
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"timestamp": "01/17/2023 00:23:42",
"content": "I shouldn’t have integrate it again",
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"author_name": "...1",
"timestamp": "01/17/2023 00:23:51",
"content": ":bleak:",
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"content": "antiderivative you mean",
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"timestamp": "01/17/2023 00:24:09",
"content": "anyway this was the original equation",
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"content": "idk",
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"id": 1064777191021363200,
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"timestamp": "01/17/2023 00:24:24",
"content": "question 3?",
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"id": 1064777229671870500,
"author_id": 825892892685893600,
"author_name": "...1",
"timestamp": "01/17/2023 00:24:34",
"content": "yessirrr",
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"id": 1064777360165056600,
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"timestamp": "01/17/2023 00:25:05",
"content": "ok you have your derivative",
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"timestamp": "01/17/2023 00:25:09",
"content": "dy/dx",
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"timestamp": "01/17/2023 00:25:23",
"content": "oh they want you to do a substitution",
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"author_id": 825892892685893600,
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"timestamp": "01/17/2023 00:25:24",
"content": "is this the final answer",
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"id": 1064777514217644000,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/17/2023 00:25:41",
"content": "let me reply in a bit (unless someone else comes) since I am walking",
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"id": 1064777674377154600,
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"timestamp": "01/17/2023 00:26:20",
"content": ",w differentiate 1/(1-x^2)",
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"id": 1064777692366516200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2023 00:26:24",
"content": "Results provided by WolframAlpha",
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"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/17/2023 00:26:39",
"content": "ah okay very good",
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"id": 1064777801628127200,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/17/2023 00:26:50",
"content": "what did you get for your derivative",
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"timestamp": "01/17/2023 00:28:14",
"content": "yeah as you can see that is wrong",
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"id": 1064778225219272800,
"author_id": 825892892685893600,
"author_name": "...1",
"timestamp": "01/17/2023 00:28:31",
"content": "https://tenor.com/view/god-of-war-god-of-war1-god-of-war-fall-fall-meme-gif-25892538",
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"id": 1064778367410393100,
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"timestamp": "01/17/2023 00:29:05",
"content": "ok but had I been correct",
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"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/17/2023 00:29:07",
"content": "im going to do real analysis now so if u have any other questions just wait for someone else",
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"id": 1064778380337233900,
"author_id": 825892892685893600,
"author_name": "...1",
"timestamp": "01/17/2023 00:29:08",
"content": "would my final ans be correct",
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"id": 1064778396334305400,
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"timestamp": "01/17/2023 00:29:12",
"content": "maybe",
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"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/17/2023 00:29:19",
"content": "try plugging it into wolframalpha",
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},
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"id": 1064778459198529500,
"author_id": 825892892685893600,
"author_name": "...1",
"timestamp": "01/17/2023 00:29:27",
"content": "ok thx bye",
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},
{
"id": 1064782187716689900,
"author_id": 560392234952818700,
"author_name": "grass",
"timestamp": "01/17/2023 00:44:16",
"content": "You forgot a term",
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},
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"id": 1064782233967272100,
"author_id": 560392234952818700,
"author_name": "grass",
"timestamp": "01/17/2023 00:44:27",
"content": "Recall the quotient rule or the product rule",
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"id": 1064782273242730500,
"author_id": 560392234952818700,
"author_name": "grass",
"timestamp": "01/17/2023 00:44:36",
"content": "Hint: What are you missing in the numerator",
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"reference": null
},
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"id": 1064783532435718100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 00:49:36",
"content": "@...1 Has your question been resolved?",
"attachments": [],
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"id": 1064785306399813600,
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"author_name": "VulcanOne",
"timestamp": "01/17/2023 00:56:39",
"content": "Sing with me, sing for the year, sing for the laughter, sing for the tear 🎵",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 01:04:37",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 7c2cd797b1f84447ae7e535b40acbaed |
200,811 | [
{
"id": 1064787561060516000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 01:05:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1064789211582050300,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/17/2023 01:12:10",
"content": "missing something here. how does he get from the second line to the third? i can get to the second line already",
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"timestamp": "01/17/2023 01:12:11",
"content": "Pinned a message.",
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{
"id": 1064789795219460100,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "01/17/2023 01:14:30",
"content": "the second line basically means that **magnitude** of a+b will always be less (or equal) than |a|+|b|",
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"id": 1064789848143167500,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "01/17/2023 01:14:42",
"content": "so they used the modulus to represent it",
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{
"id": 1064790190121550000,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/17/2023 01:16:04",
"content": "wait omg",
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},
{
"id": 1064790283826516000,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/17/2023 01:16:26",
"content": "|a+b| >= a + b",
"attachments": [],
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},
{
"id": 1064790297978081300,
"author_id": 752737032694005900,
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"timestamp": "01/17/2023 01:16:29",
"content": "i'm so silly",
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"id": 1064790338172092400,
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"author_name": "barometer",
"timestamp": "01/17/2023 01:16:39",
"content": ":DrPhil:",
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"id": 1064790350360752100,
"author_id": 752737032694005900,
"author_name": "barometer",
"timestamp": "01/17/2023 01:16:42",
"content": ".close",
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},
{
"id": 1064790353187700700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 01:16:43",
"content": "Channel closed",
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}
] | help-9 | c517c20568a348cf84bf1b011b34f319 |
200,812 | [
{
"id": 1064791738377584600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 01:22:13",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1064795084693962900,
"author_id": 93721838093352960,
"author_name": "sach",
"timestamp": "01/17/2023 01:35:31",
"content": "Hello, I am studying computer vision and most especially here mathematical morphology with morphological filters. I am learning how to compose openings and closings, but there is something unclear to me.\n\nIn my course, it is stated that the composition of two opening filters is not an opening, they show an example for which the result after two applications for the composite filter is not the same than after a single one, therefore not idempotent and not an opening.\n\nHow can I show the same for closings? I think the closing of a closing is not a closing either, but I can't find a similar proof using simple shapes.\n\nThanks!",
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"timestamp": "01/17/2023 01:35:31",
"content": "Pinned a message.",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 01:50:31",
"content": "@sach Has your question been resolved?",
"attachments": [],
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"id": 1064799423747604600,
"author_id": 93721838093352960,
"author_name": "sach",
"timestamp": "01/17/2023 01:52:45",
"content": "@Helpers Maybe there's a fan of morphology among you?",
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},
{
"id": 1064803620115193900,
"author_id": 93721838093352960,
"author_name": "sach",
"timestamp": "01/17/2023 02:09:26",
"content": "",
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"id": 1064804056775798900,
"author_id": 93721838093352960,
"author_name": "sach",
"timestamp": "01/17/2023 02:11:10",
"content": "I thought maybe of something like this\nX • B would fill in a rectangular way the triangular hole.\nthe result • C would \"smooth\" this.\nBut applying again • B and • C consecutively to the previous result would fill the hole furthermore, thus giving a new result",
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"id": 1064811607718363100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 02:41:10",
"content": "@sach Has your question been resolved?",
"attachments": [],
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"id": 1064831165720174600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 03:58:53",
"content": "@sach Has your question been resolved?",
"attachments": [],
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"author_name": "VulcanOne",
"timestamp": "01/17/2023 03:59:57",
"content": "Wait this looks like topology material",
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"author_id": 93721838093352960,
"author_name": "sach",
"timestamp": "01/17/2023 05:21:52",
"content": "It's related to topology",
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"id": 1064852127886889000,
"author_id": 93721838093352960,
"author_name": "sach",
"timestamp": "01/17/2023 05:22:11",
"content": "I think the solution works so I'll just close it",
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"id": 1064852132219596800,
"author_id": 93721838093352960,
"author_name": "sach",
"timestamp": "01/17/2023 05:22:12",
"content": ".close",
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},
{
"id": 1064852135017185300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 05:22:12",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | a377ab1950ef40b592cc4cddf8c639dd |
200,813 | [
{
"id": 1064867597918671000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 06:23:39",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1064874450123767900,
"author_id": 686634042761805800,
"author_name": "Nietzsche",
"timestamp": "01/17/2023 06:50:53",
"content": "I have no clue for 3&4",
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 06:50:54",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1064874615639392300,
"author_id": 1060870173147537400,
"author_name": "i_am_mind_less",
"timestamp": "01/17/2023 06:51:32",
"content": "hi",
"attachments": [],
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},
{
"id": 1064874633209331700,
"author_id": 686634042761805800,
"author_name": "Nietzsche",
"timestamp": "01/17/2023 06:51:36",
"content": "Hi",
"attachments": [],
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"reference": null
},
{
"id": 1064874683310297100,
"author_id": 1060870173147537400,
"author_name": "i_am_mind_less",
"timestamp": "01/17/2023 06:51:48",
"content": "i am new here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1064874740667387900,
"author_id": 686634042761805800,
"author_name": "Nietzsche",
"timestamp": "01/17/2023 06:52:02",
"content": "That's ok",
"attachments": [],
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"reference": null
},
{
"id": 1064874812507422800,
"author_id": 1060870173147537400,
"author_name": "i_am_mind_less",
"timestamp": "01/17/2023 06:52:19",
"content": "i am really bad at math",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1064874862230908900,
"author_id": 1060870173147537400,
"author_name": "i_am_mind_less",
"timestamp": "01/17/2023 06:52:31",
"content": "can you help me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1064874940068810800,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "01/17/2023 06:52:50",
"content": "#❓how-to-get-help",
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"author_id": 1060870173147537400,
"author_name": "i_am_mind_less",
"timestamp": "01/17/2023 06:53:13",
"content": "thanks",
"attachments": [],
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},
{
"id": 1064877431426666600,
"author_id": 248066509547503600,
"author_name": "BlackHole",
"timestamp": "01/17/2023 07:02:44",
"content": "Z",
"attachments": [],
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},
{
"id": 1064878690678358000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 07:07:44",
"content": "@Nietzsche Has your question been resolved?",
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"id": 1064878804327223300,
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"author_name": "Nietzsche",
"timestamp": "01/17/2023 07:08:11",
"content": "@Helpers",
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},
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"id": 1064886355102019600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 07:38:11",
"content": "@Nietzsche Has your question been resolved?",
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"timestamp": "01/17/2023 08:08:12",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | fcef7327fa17490fa88349d55c957e69 |
200,814 | [
{
"id": 1064894158940160000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 08:09:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1064895534734778400,
"author_id": 282651244374523900,
"author_name": "MattNyte",
"timestamp": "01/17/2023 08:14:40",
"content": "So I tried solving this question but got a different answer from what the text book says. Text book says it is 10/3. But I got 19/6",
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"timestamp": "01/17/2023 08:14:41",
"content": "Pinned a message.",
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"id": 1064897941191528400,
"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "01/17/2023 08:24:14",
"content": "You didn't account that the area is also bounded by the x-axis",
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"timestamp": "01/17/2023 08:25:08",
"content": "Sorry what do you mean?",
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"author_name": "draganb",
"timestamp": "01/17/2023 08:27:18",
"content": "Find the area of the region enclosed by the curves x = y^2 , x = y+2 THAT LIES ABOVE THE X-AXIS",
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"timestamp": "01/17/2023 08:28:35",
"content": "I can read the question. But don't fully understand",
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"content": "Are you saying that I found the area that lies above the y-axis instead of x-axis?",
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"timestamp": "01/17/2023 08:29:31",
"content": "being that I used x bounds",
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"content": "instead of y bounds",
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"content": "You calculated all this area",
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"content": "OH",
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"content": "x-axis",
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"content": "I thought it meant x > 0",
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"content": "omg I am dumb",
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"content": "so I am SUPPOSE to use y bounds",
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"content": "cause why would I do it in terms of x",
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"content": "u want to integrate this area",
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"content": "so it needs to be y bounds 0 to 2",
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"timestamp": "01/17/2023 08:31:46",
"content": "so me making bounds in terms of x was stupid",
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"content": "It can be solved in terms of x by splitting it into two integrals",
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"timestamp": "01/17/2023 08:33:02",
"content": "With twice the work I suppose",
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"content": "But it's definately easier if you rotate the whole picture",
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"content": "cause you have to evaluate x = [1, 4] on two integrals",
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"content": "Not realy",
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"timestamp": "01/17/2023 08:33:39",
"content": "Btw how do I make sure what function is upper",
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"timestamp": "01/17/2023 08:33:44",
"content": "using algebra",
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"author_name": "draganb",
"timestamp": "01/17/2023 08:33:55",
"content": "But this is def easier",
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"author_name": "MattNyte",
"timestamp": "01/17/2023 08:33:57",
"content": "Is the way I did it correct?",
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"timestamp": "01/17/2023 08:34:14",
"content": "i found x values and valuated what y would be",
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"timestamp": "01/17/2023 08:34:24",
"content": "for each function",
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"author_name": "draganb",
"timestamp": "01/17/2023 08:35:25",
"content": "You mean you calculated several y values of each function and compared them to see which is the upper function?",
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"timestamp": "01/17/2023 08:35:33",
"content": "yes",
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"author_name": "draganb",
"timestamp": "01/17/2023 08:35:59",
"content": "That is not recommended",
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"author_name": "MattNyte",
"timestamp": "01/17/2023 08:36:33",
"content": "What if I cant plot the graph?",
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"id": 1064901092791558300,
"author_id": 282651244374523900,
"author_name": "MattNyte",
"timestamp": "01/17/2023 08:36:45",
"content": "(if it is more complex function)",
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"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "01/17/2023 08:38:28",
"content": "In that case, calculating several point values could mislead you",
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"author_name": "draganb",
"timestamp": "01/17/2023 08:39:25",
"content": "It is best to plot the function's zero intercepts, y intercepts, min and max values",
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"timestamp": "01/17/2023 08:40:47",
"content": "You still have to be careful calculating y values even on simpler functions",
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"id": 1064902161860927500,
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"timestamp": "01/17/2023 08:41:00",
"content": "I would always recommend plotting",
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"timestamp": "01/17/2023 08:41:18",
"content": "I see ty. Hopefully my function abiltites wont suffer lol",
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"timestamp": "01/17/2023 08:41:31",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 08:41:32",
"content": "Channel closed",
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] | help-9 | e6fe030ed13645519717345958c2fa5d |
200,815 | [
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"content": "and got this but I dont know what to put in the 'g'",
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] | help-9 | 036df6eea63b4a61bf089663b14949cf |
200,816 | [
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"content": "i need to solve this",
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"id": 1064933214831005700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/17/2023 10:44:23",
"content": "define \"do\"?",
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"timestamp": "01/17/2023 10:44:26",
"content": "what are you asked to do?",
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"id": 1064933321643139100,
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"author_name": "sunnnnnnn",
"timestamp": "01/17/2023 10:44:49",
"content": "oh sorry",
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"content": "im asked to solve",
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"id": 1064933386352857200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/17/2023 10:45:04",
"content": "you are asked to \"Solve\"?",
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"id": 1064933400911298700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/17/2023 10:45:08",
"content": "one single word and nothing else?",
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"author_name": "sunnnnnnn",
"timestamp": "01/17/2023 10:45:14",
"content": "find f(x)",
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"id": 1064933445651935200,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/17/2023 10:45:18",
"content": "solve for f(x)",
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"id": 1064933492745572500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/17/2023 10:45:30",
"content": "right. so you are tasked with finding all possible functions f which satisfy that equation you wrote there.",
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"id": 1064933505844387800,
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"author_name": "Ann",
"timestamp": "01/17/2023 10:45:33",
"content": "have you made any progress thus far?",
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"id": 1064933550329167900,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/17/2023 10:45:43",
"content": "im lost on where to start",
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"id": 1064933641945358600,
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"timestamp": "01/17/2023 10:46:05",
"content": "i'd try replacing x with particular values that may make it possible to calculate the value of f at a particular point",
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"timestamp": "01/17/2023 10:46:28",
"content": "like, if you took x to be a solution of the equation 1-x = 1/x, you could find the value of f(1/that solution)",
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"timestamp": "01/17/2023 10:46:37",
"content": "that's an idea that springs to my mind",
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"timestamp": "01/17/2023 10:47:14",
"content": "oh",
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"timestamp": "01/17/2023 10:47:24",
"content": "what value would i replace x with?",
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"timestamp": "01/17/2023 10:47:30",
"content": "> a solution of the equation 1-x = 1/x",
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"content": "is this like trial and error",
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"content": "if you want to go with my idea then you should solve that equation and replace x with those values",
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"content": "this may well not be productive",
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"timestamp": "01/17/2023 10:47:57",
"content": "and you do not need to follow my idea",
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"timestamp": "01/17/2023 10:47:59",
"content": "but that is what i suggest",
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"content": "oh i see",
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"timestamp": "01/17/2023 10:49:10",
"content": "let me try",
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"content": "when i solve for x i get imaginary though",
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"timestamp": "01/17/2023 10:50:37",
"content": "ok yeah",
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"timestamp": "01/17/2023 10:50:47",
"content": "i guess that's no good then",
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"timestamp": "01/17/2023 10:51:00",
"content": "then we can't really do much other than trying some nice-looking values of x",
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"content": "like x=1 maybe",
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"timestamp": "01/17/2023 10:51:08",
"content": "that gets us f(1) + f(0) = 1",
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"content": "x=0 is no good bc of the 1/x obviously",
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"timestamp": "01/17/2023 10:51:36",
"content": "hmm thats true",
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"timestamp": "01/17/2023 10:52:04",
"content": "x=-1 gives us f(-1) + f(2) = -1 while x=2 gives f(1/2) + f(-1) = 2",
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"timestamp": "01/17/2023 10:52:12",
"content": "and x=1/2 gives f(2) + f(1/2) = 1/2",
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"content": "hm",
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"timestamp": "01/17/2023 10:52:23",
"content": "actually those three can let us find the values of f at -1, 2 and 1/2",
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"timestamp": "01/17/2023 10:52:45",
"content": "oohh",
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"timestamp": "01/17/2023 10:52:52",
"content": "wait how would that work",
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"timestamp": "01/17/2023 10:53:07",
"content": "it's a linear system of equations in three unknowns",
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"timestamp": "01/17/2023 10:53:07",
"content": "x= 1, 1/2 and -1",
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"timestamp": "01/17/2023 10:53:19",
"content": "ohhhh",
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"timestamp": "01/17/2023 10:53:21",
"content": "or are you asking where i got those values of x from?",
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"timestamp": "01/17/2023 10:53:26",
"content": "so we let it be x y z",
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"timestamp": "01/17/2023 10:53:32",
"content": "oh its just random right",
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"timestamp": "01/17/2023 10:53:41",
"content": "but we made it decrease by 1/2 each tine",
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"timestamp": "01/17/2023 10:53:45",
"content": "no",
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"content": "i chose -1 because its reciprocal is an integer",
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"timestamp": "01/17/2023 10:53:55",
"content": "oh",
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"timestamp": "01/17/2023 10:54:09",
"content": "then i chose x such that 1 - x = -1",
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"timestamp": "01/17/2023 10:54:14",
"content": "ohhh so its like a smart substitution",
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"timestamp": "01/17/2023 10:54:20",
"content": "u need to see it",
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"timestamp": "01/17/2023 10:54:37",
"content": "yeah ig",
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"timestamp": "01/17/2023 10:54:49",
"content": "but how does it a give a linear system of equations",
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"timestamp": "01/17/2023 10:55:25",
"content": "we let f(-1) be x, f(2)=y and f(1/2)=z?",
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"timestamp": "01/17/2023 10:56:20",
"content": "so \n\nx+y=-1 \ny+z=1/2",
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"timestamp": "01/17/2023 10:56:23",
"content": "hmm",
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"timestamp": "01/17/2023 10:56:34",
"content": "this is not strictly necessary but you can do it if you want",
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"timestamp": "01/17/2023 10:56:51",
"content": "> f(1/2) + f(-1) = 2",
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"timestamp": "01/17/2023 10:57:02",
"content": "oh what wld be the easier way?",
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"timestamp": "01/17/2023 10:57:19",
"content": "oh x+z=2",
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"author_name": "sunnnnnnn",
"timestamp": "01/17/2023 10:57:39",
"content": ",w solve x+y=-1, y+z=1/2, x+z=2",
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"timestamp": "01/17/2023 10:57:41",
"content": "Results provided by WolframAlpha",
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"timestamp": "01/17/2023 10:58:34",
"content": "are these the values?",
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"author_name": "Ann",
"timestamp": "01/17/2023 10:58:43",
"content": "well, you just had a calculator solve that system for you.",
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"timestamp": "01/17/2023 10:58:49",
"content": "how would I use to find f(x)?",
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"timestamp": "01/17/2023 10:58:52",
"content": "Oh ahahaha",
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"timestamp": "01/17/2023 10:59:09",
"content": "so we now know that f(-1) = 1/4, f(2) = -5/4 and f(1/2) = 7/4, i suppose.",
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"timestamp": "01/17/2023 10:59:16",
"content": "cool!",
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"timestamp": "01/17/2023 10:59:17",
"content": "hm",
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"timestamp": "01/17/2023 10:59:20",
"content": "does that help us at all",
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"timestamp": "01/17/2023 10:59:26",
"content": "idk actually",
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"timestamp": "01/17/2023 10:59:29",
"content": "because to be frank i do not yet see a way forward",
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"timestamp": "01/17/2023 10:59:39",
"content": "me neither :hmmCat:",
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"timestamp": "01/17/2023 10:59:50",
"content": "hmm lets see",
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"timestamp": "01/17/2023 11:02:05",
"content": "so we know the value of f(-1)=1/4 , f(2)=-5/4 and f(1/2)=7/4",
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"timestamp": "01/17/2023 11:02:43",
"content": "hmm",
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"timestamp": "01/17/2023 11:03:12",
"content": "@Helpers",
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"timestamp": "01/17/2023 11:03:33",
"content": "ok hold on i think i realized something",
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"timestamp": "01/17/2023 11:03:54",
"content": ":eeveeKawaii:",
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"timestamp": "01/17/2023 11:03:57",
"content": "yay",
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"timestamp": "01/17/2023 11:05:13",
"content": "take x := 1-t, x := 1/t and x := -t/(1-t) [i'll explain that one shortly] to obtain a system of 3 equations as such:",
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"timestamp": "01/17/2023 11:05:54",
"content": "oo okay",
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"timestamp": "01/17/2023 11:06:36",
"content": "$f(\\tfrac{1}{1-t}) + f(1 - (1-t)) = 1-t \\\\ f(\\tfrac{1}{1/t}) + f(1 - \\tfrac{1}{t}) = \\tfrac{1}{t} \\\\ f(\\tfrac{1}{-t/(1-t)}) + f(1 - \\paren{-\\tfrac{t}{1-t}}) = -\\tfrac{t}{1-t}$",
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"timestamp": "01/17/2023 11:07:05",
"content": "**Ann**",
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"timestamp": "01/17/2023 11:07:30",
"content": "wait omg",
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"timestamp": "01/17/2023 11:07:38",
"content": "the input is the output",
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"timestamp": "01/17/2023 11:07:58",
"content": "let me explain",
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"timestamp": "01/17/2023 11:08:01",
"content": "howd you know",
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"timestamp": "01/17/2023 11:08:04",
"content": "yes",
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"timestamp": "01/17/2023 11:09:26",
"content": "in this diagram, each pair of _reciprocals_ is connected by a solid line while each pair of numbers _adding up to 1_ is connected by a dashed line.",
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"content": "for any number, we know something about the values of f at points which are connected to our number on this diagram.",
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"content": "ooooo",
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"content": "howd you come to think of it",
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"content": "well i first drew this diagram with the points we examined",
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"content": "2, -1 and 1/2",
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"timestamp": "01/17/2023 11:10:53",
"content": "but those lines looped back on themselves",
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"content": "omg really",
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"content": "wait can i see the diagram",
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"content": "sure why not",
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"timestamp": "01/17/2023 11:14:01",
"content": "wait so f(x) is just x?",
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"content": "Whats the loop thing st the top right",
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"content": "the number whose sum with 1/2 is 1",
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"content": "is 1/2 itself",
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"timestamp": "01/17/2023 11:14:36",
"content": "no, i didn't say that.",
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"content": "ohhh i see",
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"content": "let u = 1/(1-t) and v = (t-1)/t for conciseness, then we have\n\nf(u) + f(t) = 1 - t\nf(t) + f(v) = 1/t\nf(v) + f(u) = -t/(1-t)",
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"timestamp": "01/17/2023 11:16:09",
"content": "from this we can solve for f(u), f(v) and f(t)",
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"timestamp": "01/17/2023 11:16:11",
"content": "and f(t) is what we want",
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"content": "wait why f(t)?",
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"timestamp": "01/17/2023 11:18:48",
"content": "i did not want to confuse you by replacing x with an expression that already contains x",
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"timestamp": "01/17/2023 11:18:50",
"content": "so i made a new letter",
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"timestamp": "01/17/2023 11:18:58",
"content": "ohh ok",
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"timestamp": "01/17/2023 11:19:26",
"content": "so i let f(u) =a f(t) =b and f(v) =c?",
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"timestamp": "01/17/2023 11:19:34",
"content": "sure",
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"timestamp": "01/17/2023 11:19:40",
"content": "oh okay",
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"author_name": "sunnnnnnn",
"timestamp": "01/17/2023 11:20:08",
"content": ",w solve a+b=1-t, b+c=1/t , c+a= -t/(1-t)",
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"id": 1064942229615018100,
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"timestamp": "01/17/2023 11:20:13",
"content": "Results provided by WolframAlpha",
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"timestamp": "01/17/2023 11:20:18",
"content": "O-O",
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"timestamp": "01/17/2023 11:21:23",
"content": "hmm",
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"timestamp": "01/17/2023 11:21:30",
"content": "where did I go wrong",
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{
"id": 1064942720575078500,
"author_id": 350971111405781000,
"author_name": "Данил",
"timestamp": "01/17/2023 11:22:10",
"content": "Who will help to solve this?",
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"timestamp": "01/17/2023 11:22:53",
"content": "hi pls get ur own channel",
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"content": "@Данил please open your own channel. see #❓how-to-get-help for instructions.",
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"timestamp": "01/17/2023 11:24:51",
"content": "hmm im not able to find f(t)",
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"timestamp": "01/17/2023 11:27:52",
"content": ">>> f(u) + f(t) = 1 - t\nf(t) + f(v) = 1/t\nf(v) + f(u) = -t/(1-t)",
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"timestamp": "01/17/2023 11:28:13",
"content": "add these together and you will have that $$2(f(t) + f(u) + f(v)) = \\frac{1}{t} + 1 - t - \\frac{t}{1-t}$$",
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"timestamp": "01/17/2023 11:28:24",
"content": "**Ann**",
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"timestamp": "01/17/2023 11:28:28",
"content": "probably worthwhile to clean up on the RHS at this point",
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"timestamp": "01/17/2023 11:28:44",
"content": "oooh ok one minute",
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"timestamp": "01/17/2023 11:30:04",
"content": "is this ok",
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"timestamp": "01/17/2023 11:30:45",
"content": "num could still be cleaned up",
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"author_name": "sunnnnnnn",
"timestamp": "01/17/2023 11:31:53",
"content": "1-t^2-t^2(2-t)",
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"timestamp": "01/17/2023 11:32:47",
"content": "why not expand it in full to get 1 - 3t^2 + t^3...?",
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"timestamp": "01/17/2023 11:33:01",
"content": "oh yeah 😅",
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"author_name": "sunnnnnnn",
"timestamp": "01/17/2023 11:34:06",
"content": "so now i have $\\frac{1-3t^2 +t^3}{t(1-t)}$",
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"timestamp": "01/17/2023 11:34:08",
"content": "**moonn**",
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"timestamp": "01/17/2023 11:34:17",
"content": "yeah, that's 2(f(t)+f(u)+f(v))",
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"timestamp": "01/17/2023 11:34:25",
"content": "yes",
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"timestamp": "01/17/2023 11:34:29",
"content": "divide that by 2 and subtract the known value of f(u)+f(v), and you have your f(t).",
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"timestamp": "01/17/2023 11:34:43",
"content": "OH",
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"timestamp": "01/17/2023 11:34:47",
"content": "one minute",
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"timestamp": "01/17/2023 11:38:03",
"content": "does this look ok",
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"timestamp": "01/17/2023 11:38:48",
"content": "I need to replace t by x",
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"timestamp": "01/17/2023 11:42:46",
"content": "busy sorry",
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"timestamp": "01/17/2023 11:43:28",
"content": "oh its okay! Tysm for the help",
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"timestamp": "01/17/2023 11:58:28",
"content": "@sunnnnnnn Has your question been resolved?",
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] | help-9 | 5c83ed01ec7047b18e3c56e02e05f35f |
200,817 | [
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"timestamp": "01/17/2023 12:30:18",
"content": "!15m",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 12:30:19",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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"id": 1064959905313870000,
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"timestamp": "01/17/2023 12:30:27",
"content": "k",
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"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:30:49",
"content": "help meeeeeee",
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},
{
"id": 1064960139632844800,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:31:23",
"content": "we have the ingredients for 16 fj given right?",
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"id": 1064960194276245500,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:31:36",
"content": "bu we want the ingredients for 24 fj",
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"id": 1064960275494748200,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:31:55",
"content": "so we must find a ratio",
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"id": 1064960301373595800,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:32:01",
"content": "between them",
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"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:32:07",
"content": "for example, a basic example",
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"id": 1064960385616199700,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:32:21",
"content": "if you need 10g for one",
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},
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"id": 1064960418902200400,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:32:29",
"content": "you will need 20g for two",
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"id": 1064960487667802100,
"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:32:46",
"content": "yeah but here its given for 16 instead of 1",
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"id": 1064960500955353100,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:32:49",
"content": "we multiplied it with two, so the ratio is two",
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},
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"id": 1064960514368741400,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:32:52",
"content": "yes",
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},
{
"id": 1064960558434103300,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:33:03",
"content": "so we will do the same thing with 16 and 24",
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},
{
"id": 1064960578000535600,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:33:07",
"content": "what is the ratio",
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},
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"id": 1064960694816084100,
"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:33:35",
"content": "2/3",
"attachments": [],
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},
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"id": 1064960700444856300,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:33:36",
"content": "if you multiply 16 with 24",
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},
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"id": 1064960728668311600,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:33:43",
"content": "yes",
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},
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"id": 1064960752483586200,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:33:49",
"content": "actually",
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},
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"id": 1064960796221788300,
"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:33:59",
"content": "proportion?",
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},
{
"id": 1064960828027183100,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:34:07",
"content": "lets have a look at the numbers then",
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},
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"id": 1064960894880198800,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:34:23",
"content": "we need 120g butter for 16",
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},
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"id": 1064960928157810800,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:34:31",
"content": "then 120*3/2",
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},
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"id": 1064960938253504600,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:34:33",
"content": "can we do it?",
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},
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"id": 1064960995824513000,
"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:34:47",
"content": "ok",
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},
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"id": 1064961030775640200,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:34:55",
"content": "you see it?",
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},
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"id": 1064961055584944300,
"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:35:01",
"content": "180?",
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},
{
"id": 1064961086979313700,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:35:09",
"content": "if you need 120 for 16 fj",
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},
{
"id": 1064961130239377500,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:35:19",
"content": "you will need 120*3/2 for 24",
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},
{
"id": 1064961189697827000,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:35:33",
"content": "which makes 180",
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},
{
"id": 1064961201555124400,
"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:35:36",
"content": "is it inverse proportion?",
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},
{
"id": 1064961286967935100,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:35:56",
"content": "we have the ratio 2/3 for 16 and 24",
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},
{
"id": 1064961365611139200,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:36:15",
"content": "so if you divide 16 by two and multiply it by three, you will find 24",
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},
{
"id": 1064961428966084700,
"author_id": 471009973208350700,
"author_name": "Ozgr",
"timestamp": "01/17/2023 12:36:30",
"content": "you can do it on all those numbers",
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},
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"id": 1064961446708007000,
"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:36:34",
"content": "ok thanks ill do the same with all numbers",
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},
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"id": 1064961468258320500,
"author_id": 854990601225371600,
"author_name": "DarkPhoenix",
"timestamp": "01/17/2023 12:36:40",
"content": ".close",
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},
{
"id": 1064961471605387300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 12:36:40",
"content": "Channel closed",
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] | help-9 | 9d005fd70cd04cb3b799538bf444af68 |
200,818 | [
{
"id": 1064962329105682600,
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 12:40:05",
"content": "Available help channel!",
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},
{
"id": 1064963727423705200,
"author_id": 748226963059114000,
"author_name": "CUTE °~° DEVIL",
"timestamp": "01/17/2023 12:45:38",
"content": "What exactlt is infinity?",
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"id": 1064963732171669600,
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/17/2023 12:51:52",
"content": "a concept used to describe something larger than any fixed number",
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"author_id": 748226963059114000,
"author_name": "CUTE °~° DEVIL",
"timestamp": "01/17/2023 12:54:30",
"content": "So its just a concept",
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"timestamp": "01/17/2023 12:55:04",
"content": "Can you do like division or addition",
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"id": 1064966131871404200,
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"timestamp": "01/17/2023 12:55:11",
"content": "With infinity?",
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"author_id": 748226963059114000,
"author_name": "CUTE °~° DEVIL",
"timestamp": "01/17/2023 12:55:28",
"content": "Or any other operation",
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"id": 1064966411430142100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 12:56:18",
"content": "In general no, but you'll see people write operations involving infinity as if it was a number as shorthand for more complicated things",
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"id": 1064966487569334300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/17/2023 12:56:36",
"content": "not really. You can sometimes hand wave through some operations that hide other stronger math machines. \nbut generally no",
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"id": 1064966728104292400,
"author_id": 748226963059114000,
"author_name": "CUTE °~° DEVIL",
"timestamp": "01/17/2023 12:57:34",
"content": "Mmm..so, how is it that 1 over 0 equals to infinity?",
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"id": 1064967280590585900,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/17/2023 12:59:45",
"content": "technically it doesn't. \nif you handwave through some arithmetic, or start talking about what it means to divide 1 by smaller and smaller numbers (which is, again, hiding stronger math techniques) then you can get something like that equality.",
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"timestamp": "01/17/2023 13:12:34",
"content": "@CUTE °~° DEVIL Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 97328014954c4377a76e1cc0df1dace6 |
200,819 | [
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"timestamp": "01/17/2023 13:28:35",
"content": "Available help channel!",
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},
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"id": 1064976368489746400,
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"author_name": "Alexandru",
"timestamp": "01/17/2023 13:35:52",
"content": "Colored golf balls were placed inside a box and drawn without replacement. Four blue, six orange, and eight yellow. How many ways can one draw 4 balls if three balls must be of different colors?",
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"content": "Pinned a message.",
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"content": "You have #help-12｜ebony already - please choose one channel and stick to it :happyCat:",
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"content": "@Alexandru Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 2b62ca27533246f0b2325c5c944195a4 |
200,820 | [
{
"id": 1036108239936421900,
"author_id": 357932279231807500,
"author_name": "Xylochoron",
"timestamp": "10/29/2022 22:44:14",
"content": "Unless someone randomly stumbles on this and wants to also try answering for fun 😛",
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"id": 1036108347918782600,
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},
{
"id": 1036110547940290600,
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"content": "Pinned a message.",
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"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/29/2022 22:53:25",
"content": "how is this gotten",
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"id": 1036110858390093800,
"author_id": 1031722398346657900,
"author_name": "NØØBやTøast",
"timestamp": "10/29/2022 22:54:38",
"content": "someone help explain schrödinger's cat and it's relation to quantum dynamics plz thanks",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/29/2022 22:54:55",
"content": "Please get ur own channel",
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"id": 1036110986945507300,
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"author_name": "asuna",
"timestamp": "10/29/2022 22:55:09",
"content": "I can’t",
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"timestamp": "10/29/2022 22:55:16",
"content": "I can’t type",
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"id": 1036111031296086000,
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"timestamp": "10/29/2022 22:55:19",
"content": "Look",
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"timestamp": "10/29/2022 22:55:40",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 327f226a81a645fba5bc8f0c0152f494 |
200,821 | [
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"timestamp": "01/17/2023 14:06:53",
"content": "Available help channel!",
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"id": 1064984237599641600,
"author_id": 930156942498889700,
"author_name": "goncalius",
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"content": "how do i solve this?",
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"id": 1064984361205760100,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/17/2023 14:07:38",
"content": "is sen sine?",
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"id": 1064984379102855200,
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"timestamp": "01/17/2023 14:07:42",
"content": "yes",
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"author_name": "OldBiscuit",
"timestamp": "01/17/2023 14:07:54",
"content": "oh,you can use double angle formula for sine",
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"id": 1064984498833469600,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/17/2023 14:08:10",
"content": "Yeah that or standard substitution for one of them",
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"author_name": "hibyehibye",
"timestamp": "01/17/2023 14:08:58",
"content": "yeah usub probably easier",
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"id": 1064985122069303400,
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"author_name": "GAK",
"timestamp": "01/17/2023 14:10:39",
"content": "2+2",
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"author_name": "goncalius",
"timestamp": "01/17/2023 14:10:49",
"content": "ive gotten that far but no clue what to do with the cos^2(2x)",
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},
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"id": 1064985875668271200,
"author_id": 252490054138724350,
"author_name": "sopinha",
"timestamp": "01/17/2023 14:13:39",
"content": "$\\sin(2x)\\cos(2x) = \\dfrac{\\sin(4x)}{2} = \\dfrac{4\\cdot \\sin(4x)}{8} = \\dfrac{(4x)'\\cdot \\sin(4x)}{8}$",
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"id": 1064985886720282600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2023 14:13:41",
"content": "**sopinha**",
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"author_name": "goncalius",
"timestamp": "01/17/2023 14:15:14",
"content": "how did you get from the first to second step?",
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"id": 1064986366745784400,
"author_id": 252490054138724350,
"author_name": "sopinha",
"timestamp": "01/17/2023 14:15:36",
"content": "$\\sin(2\\theta) = 2\\sin(\\theta)\\cos(\\theta)$",
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"id": 1064986375608340500,
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"author_name": "TeXit",
"timestamp": "01/17/2023 14:15:38",
"content": "**sopinha**",
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"id": 1064988336101544000,
"author_id": 930156942498889700,
"author_name": "goncalius",
"timestamp": "01/17/2023 14:23:25",
"content": "that only got me to:",
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"id": 1064988339700236300,
"author_id": 930156942498889700,
"author_name": "goncalius",
"timestamp": "01/17/2023 14:23:26",
"content": "$\\sin(2x)\\cos(2x) = 2\\sin(x)\\cos(x)\\cos(2x)$",
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"author_name": "TeXit",
"timestamp": "01/17/2023 14:23:29",
"content": "**goncalius**",
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"id": 1064991004245106700,
"author_id": 252490054138724350,
"author_name": "sopinha",
"timestamp": "01/17/2023 14:34:01",
"content": "that is not true",
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"id": 1064991200207192000,
"author_id": 930156942498889700,
"author_name": "goncalius",
"timestamp": "01/17/2023 14:34:48",
"content": "? what did i do wrong?",
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"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "01/17/2023 14:36:00",
"content": "just let u=sin(2x)",
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"author_name": "hibyehibye",
"timestamp": "01/17/2023 14:36:27",
"content": "I think ur overcomplicating this",
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"id": 1064992953321410600,
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"author_name": "goncalius",
"timestamp": "01/17/2023 14:41:46",
"content": "ty i figured it out",
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"id": 1064992959268925400,
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"author_name": "goncalius",
"timestamp": "01/17/2023 14:41:48",
"content": ".close",
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"id": 1064992962100080600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 14:41:48",
"content": "Channel closed",
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}
] | help-9 | 7503774b297248d0ba725702bc76b8a6 |
200,822 | [
{
"id": 1064993214932721800,
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"timestamp": "01/17/2023 14:42:49",
"content": "Available help channel!",
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"id": 1064993630902812800,
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] | help-9 | eba13ad46ac0456cb92de8885f6027d9 |
200,823 | [
{
"id": 1064996162899279900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 14:54:31",
"content": "Available help channel!",
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},
{
"id": 1064998606580490200,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
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"id": 1064998670807867500,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/17/2023 15:04:29",
"content": "I dont understand how e^c1 simplifies into c1",
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{
"id": 1064999282920399000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/17/2023 15:06:55",
"content": "c is constant. e^c is also constant. Rather than writing out e^c you can just rewrite it as c to make it easier since it's just an unknown constant an either case",
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"id": 1064999432887742500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "01/17/2023 15:07:31",
"content": "i'm assuming this is a deff eq problem. Because that's a really common thing to do in deff eq",
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"id": 1064999603952431200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/17/2023 15:08:12",
"content": "Will say though, very naughty of them to use the same letter for both constants :kekw:",
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{
"id": 1064999647841620000,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/17/2023 15:08:22",
"content": "oh....",
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"id": 1064999743970873500,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/17/2023 15:08:45",
"content": "ok I get what you mean",
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"id": 1064999803991380000,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/17/2023 15:09:00",
"content": "ty",
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"timestamp": "01/17/2023 15:24:00",
"content": "@Cryptarch Has your question been resolved?",
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"timestamp": "01/17/2023 15:28:30",
"content": "Channel closed",
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}
] | help-9 | 83e844d7ae264c208dc70f26a343cbc5 |
200,824 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 15:29:30",
"content": "Available help channel!",
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{
"id": 1065009815908274300,
"author_id": 307163613779722240,
"author_name": "lordi",
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"content": "Pinned a message.",
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"id": 1065009912951877800,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/17/2023 15:49:10",
"content": "can someone explain me how did (3*x^4)/2 came out in the last line",
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"id": 1065010029830344700,
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"author_name": "lordi",
"timestamp": "01/17/2023 15:49:38",
"content": "it's maclaurin expansions here",
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"id": 1065010081596448800,
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"timestamp": "01/17/2023 15:49:50",
"content": "i think -x^3 is just x to the power 3",
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"id": 1065010113066307700,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/17/2023 15:49:57",
"content": "but the other term i don't get it",
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"timestamp": "01/17/2023 15:53:30",
"content": "Looks like what you'd get if you binomially expanded it:\n$$\n\\begin{aligned}\n( (-x + \\frac{1}{2!}x^{2}) + (\\ldots))^{3} &= (-x + \\frac{1}{2!} x^{2})^{3} + \\ldots \\\\\n &= (-x)^{3} + 3 (-x)^{2} (\\frac{1}{2} x^{2})^{1} + \\ldots\n\\end{aligned}\n$$",
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"id": 1065011014975901800,
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"timestamp": "01/17/2023 15:53:32",
"content": "**chartbit**",
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"timestamp": "01/17/2023 15:54:35",
"content": "so you removed the 2 other terms",
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"id": 1065011338562252800,
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"timestamp": "01/17/2023 15:54:50",
"content": "bcs they become o(x^4)",
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"author_name": "lordi",
"timestamp": "01/17/2023 15:54:58",
"content": "right?",
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"id": 1065011614077694000,
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"author_name": "lordi",
"timestamp": "01/17/2023 15:55:55",
"content": "but how did you do the second part",
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"id": 1065011654670164100,
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"author_name": "lordi",
"timestamp": "01/17/2023 15:56:05",
"content": "is this a consequence of pythagorean triangle",
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"id": 1065011856332308600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/17/2023 15:56:53",
"content": "Binomial expansion of those brackets I left in",
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"id": 1065011982849290200,
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"author_name": "lordi",
"timestamp": "01/17/2023 15:57:23",
"content": "but is there a formula for this",
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"id": 1065011986087285000,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/17/2023 15:57:24",
"content": "or what",
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"id": 1065012001639780400,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/17/2023 15:57:28",
"content": "i'm getting confused",
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"id": 1065012110460989600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/17/2023 15:57:54",
"content": "$(a + b)^{n} = \\sum_{k = 0}^{n} \\binom{n}{k} a^{k} b^{n-k}$",
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"id": 1065012120044965900,
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"author_name": "TeXit",
"timestamp": "01/17/2023 15:57:56",
"content": "**chartbit**",
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"timestamp": "01/17/2023 15:58:28",
"content": "so it's based on pythagorean triangle",
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"id": 1065012272533078100,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/17/2023 15:58:32",
"content": "or how is it called",
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"id": 1065012336563331200,
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"author_name": "chartbit",
"timestamp": "01/17/2023 15:58:48",
"content": "Ehhh I don't think it is...",
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"author_name": "chartbit",
"timestamp": "01/17/2023 15:58:55",
"content": ",w binomial expansion",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2023 15:58:57",
"content": "Results provided by WolframAlpha",
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"id": 1065012453206925600,
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"author_name": "chartbit",
"timestamp": "01/17/2023 15:59:15",
"content": "Ah damn you wolfie, that's what I already wrote out :KEK:",
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"id": 1065012529258053600,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/17/2023 15:59:33",
"content": "",
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"id": 1065012536094757000,
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"timestamp": "01/17/2023 15:59:35",
"content": "i was speaking about this one",
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"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/17/2023 15:59:36",
"content": "You know Pascal's triangle and all",
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"timestamp": "01/17/2023 15:59:37",
"content": "idk the name",
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"timestamp": "01/17/2023 15:59:51",
"content": "Yea this, it's related to this one",
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"content": "oh ok",
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"id": 1065012635701084200,
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"timestamp": "01/17/2023 15:59:59",
"content": "thanks a lot",
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"timestamp": "01/17/2023 16:00:24",
"content": ".close",
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"id": 1065012742764892300,
"author_id": 805217272087838700,
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"content": "Channel closed",
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] | help-9 | f6c1943875d945fd9e2074cd81d044b7 |
200,825 | [
{
"id": 1065014926445379700,
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"id": 1065016211420753900,
"author_id": 290229289448636400,
"author_name": "beautyiskeytosuccess",
"timestamp": "01/17/2023 16:14:11",
"content": "How do you simplify ((4/x)/(4/x)+1))",
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"timestamp": "01/17/2023 16:15:52",
"content": "**Stephen**",
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"id": 1065016659154317400,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "01/17/2023 16:15:58",
"content": "This?",
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"id": 1065016674258010100,
"author_id": 290229289448636400,
"author_name": "beautyiskeytosuccess",
"timestamp": "01/17/2023 16:16:02",
"content": "Yes",
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"id": 1065016821335457800,
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"author_name": "Stephen",
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"content": "The x in the numerator comes down to the denom and multiplies to the terms in the denom",
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"id": 1065016969562173600,
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"timestamp": "01/17/2023 16:17:12",
"content": "Ykwim or nah",
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"author_id": 290229289448636400,
"author_name": "beautyiskeytosuccess",
"timestamp": "01/17/2023 16:17:32",
"content": "Do you think you could do a visual",
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"timestamp": "01/17/2023 16:19:05",
"content": "**Stephen**",
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"author_name": "beautyiskeytosuccess",
"timestamp": "01/17/2023 16:20:07",
"content": "Ohh ok thanks",
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"id": 1065017722779480200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "01/17/2023 16:20:12",
"content": "Np",
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"id": 1065017722792050800,
"author_id": 290229289448636400,
"author_name": "beautyiskeytosuccess",
"timestamp": "01/17/2023 16:20:12",
"content": "What about this",
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"id": 1065018023095836800,
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"timestamp": "01/17/2023 16:21:23",
"content": "I’d make everything in the numerator a fraction and everything in the denominator a fraction",
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"id": 1065018041986982000,
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"timestamp": "01/17/2023 16:21:28",
"content": "Then go from there",
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"author_name": "beautyiskeytosuccess",
"timestamp": "01/17/2023 16:21:52",
"content": "Ok thanks",
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},
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"timestamp": "01/17/2023 16:36:53",
"content": "@beautyiskeytosuccess Has your question been resolved?",
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"timestamp": "01/17/2023 16:51:53",
"content": "Channel closed",
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] | help-9 | 4782ff91c3e84c73860626019c21ced6 |
200,826 | [
{
"id": 1065025951345430700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 16:52:54",
"content": "Available help channel!",
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},
{
"id": 1065027717118038000,
"author_id": 532978451477692400,
"author_name": "skelaboi",
"timestamp": "01/17/2023 16:59:55",
"content": "I think I have to do binomial expansion but not sure exactly how to figure this out can anyone help?",
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"content": "Pinned a message.",
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"id": 1065027948798816400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 17:00:50",
"content": "You are correct, you need to do binomial expansion",
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{
"id": 1065028074879602700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 17:01:20",
"content": "But if you know binomial theorem, then you should know how to calculate each individual term by itself",
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"id": 1065028077106766000,
"author_id": 532978451477692400,
"author_name": "skelaboi",
"timestamp": "01/17/2023 17:01:20",
"content": "is there anything special with there being 2 brackets?",
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"id": 1065028181599453300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 17:01:45",
"content": "It just makes the problem a little more difficult 🙂",
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{
"id": 1065028188838822000,
"author_id": 532978451477692400,
"author_name": "skelaboi",
"timestamp": "01/17/2023 17:01:47",
"content": "so do I work out the x^1 term from the big power of 8 one and then times it by the other bracket?",
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"id": 1065028326848200700,
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"author_name": "SWR",
"timestamp": "01/17/2023 17:02:20",
"content": "You'll have to consider several terms",
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"id": 1065028377595105400,
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"author_name": "SWR",
"timestamp": "01/17/2023 17:02:32",
"content": "Several terms will lead you to the final x² coefficient",
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"id": 1065028385841098900,
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"author_name": "chartbit",
"timestamp": "01/17/2023 17:02:34",
"content": "Might help to write the other bracket as $(\\frac{1}{2} - \\frac{1}{2x})$",
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"id": 1065028395932594200,
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"timestamp": "01/17/2023 17:02:36",
"content": "**chartbit**",
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"timestamp": "01/17/2023 17:02:37",
"content": "ok thank you",
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"author_name": "skelaboi",
"timestamp": "01/17/2023 17:05:06",
"content": "I'll close the help channel while i work in case someone else needs it but I might need help later",
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"timestamp": "01/17/2023 17:05:16",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 8a2c7540403e44b29398508ee0370127 |
200,827 | [
{
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"timestamp": "01/17/2023 17:31:21",
"content": "Available help channel!",
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{
"id": 1065035732328124400,
"author_id": 596380478806949900,
"author_name": "Arabish",
"timestamp": "01/17/2023 17:31:45",
"content": "What data do you use the regular mean formula of sum of n/number of terms",
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"author_name": "Arabish",
"timestamp": "01/17/2023 17:32:23",
"content": "What is the diffenrce between that formula and xp(x=x)",
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"id": 1065036124029976700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/17/2023 17:33:19",
"content": "the second thing is a weighted average",
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"id": 1065036217986580500,
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"author_name": "Arabish",
"timestamp": "01/17/2023 17:33:41",
"content": "What is the difference",
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"id": 1065036245039849500,
"author_id": 596380478806949900,
"author_name": "Arabish",
"timestamp": "01/17/2023 17:33:48",
"content": "And when do I use each one",
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"id": 1065036370835423200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/17/2023 17:34:18",
"content": "it depends on the context",
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"id": 1065036418101031000,
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"author_name": "Arabish",
"timestamp": "01/17/2023 17:34:29",
"content": "^",
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"id": 1065036549877661800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/17/2023 17:35:00",
"content": "<https://en.wikipedia.org/wiki/Weighted_arithmetic_mean>",
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"id": 1065037176032743400,
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"timestamp": "01/17/2023 17:37:30",
"content": "Ok thanks will read",
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"timestamp": "01/17/2023 17:52:30",
"content": "@Arabish Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 8ecb9c39693f471a974db9d67b6ef01a |
200,828 | [
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"id": 1065045096292167700,
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"timestamp": "01/17/2023 18:09:01",
"content": "How to express r as a function of x?",
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"author_id": 150414892225134600,
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"content": "just integrate, $r=\\int M(x)dx$",
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"id": 1065046069555245200,
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"content": "**what is the bendixson criterion?**",
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"content": "how do we know that without asking anyone?",
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"timestamp": "01/17/2023 18:13:42",
"content": "Intuition? Is it possible in calculus?",
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"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 18:13:56",
"content": "Or do I just have to memorize everything?",
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},
{
"id": 1065046404390735900,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "01/17/2023 18:14:10",
"content": "recognize the form of equation",
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},
{
"id": 1065046468559384600,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 18:14:25",
"content": "so memorize",
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},
{
"id": 1065046502310940700,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "01/17/2023 18:14:33",
"content": "we have r'=M(x)",
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},
{
"id": 1065046543213789300,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "01/17/2023 18:14:43",
"content": "and integrating undoes derivatives",
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},
{
"id": 1065046596221423700,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "01/17/2023 18:14:56",
"content": "so thats how we can get r on the left",
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},
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"id": 1065047448969543800,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "01/17/2023 18:18:19",
"content": "thats the intuition instead of just blindly memorizing methods",
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},
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"id": 1065050245421080700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 18:29:26",
"content": "@spetnaz Has your question been resolved?",
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"timestamp": "01/17/2023 18:44:26",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | d948ae25a1794977b2fd8673ab4973ba |
200,829 | [
{
"id": 1065054274071052400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 18:45:26",
"content": "Available help channel!",
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},
{
"id": 1065054447207719000,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:46:07",
"content": "a blue and yellow die were rolled. what are the chances of getting a 6 on the yellow die if it is known that the sum of the dots is at least 10?",
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"id": 1065054449615261800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 18:46:08",
"content": "Pinned a message.",
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{
"id": 1065054773486829600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 18:47:25",
"content": "write out all the ways you can get a sum of dots atleast 10, e.g. 4 on yellow & 6 on red",
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},
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"id": 1065054961869795500,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:48:10",
"content": "alright hold on",
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},
{
"id": 1065055508689584100,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:50:21",
"content": "it's (4,6) (5,5) (5,6) (6,4) (6,5) (6,6)",
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},
{
"id": 1065055528063082600,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:50:25",
"content": "that's it?",
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},
{
"id": 1065055558622789600,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:50:32",
"content": "so 7 ?",
"attachments": [],
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},
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"id": 1065056049008230400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 18:52:29",
"content": "(5,4)?",
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},
{
"id": 1065056233352073300,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:53:13",
"content": "oh I didn't see mb",
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},
{
"id": 1065056252100608000,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:53:18",
"content": "6 then?",
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},
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"id": 1065056351652433900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 18:53:42",
"content": "seems so",
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},
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"id": 1065056716254879700,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:55:08",
"content": "huh? um but it was asking for the chances of getting a 6 on the yellow die",
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},
{
"id": 1065056719526428700,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:55:09",
"content": "Oh",
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},
{
"id": 1065056740170793100,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:55:14",
"content": "6/36 = 1/6 ?",
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},
{
"id": 1065056877546836100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 18:55:47",
"content": "it asking for the chances of getting a 6 on the yellow die **if it is known that the sum of dots is atleast 10**",
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},
{
"id": 1065057196204892300,
"author_id": 926089083107811300,
"author_name": "Alexandru",
"timestamp": "01/17/2023 18:57:03",
"content": "it's just purely 6??",
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},
{
"id": 1065057736162824200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 18:59:12",
"content": "*given* that the sum of the dots is atleast 10, how many ways could we have rolled a 6 on the yellow?",
"attachments": [],
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},
{
"id": 1065058062282522800,
"author_id": 328765192173256700,
"author_name": "Addy",
"timestamp": "01/17/2023 19:00:29",
"content": "(4,6) (5,5) (5,6) (6,4) (6,5) (6,6)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065058125331320800,
"author_id": 328765192173256700,
"author_name": "Addy",
"timestamp": "01/17/2023 19:00:44",
"content": "these are the possible 6 outcomes when sum = 10",
"attachments": [],
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"reference": null
},
{
"id": 1065058207527096400,
"author_id": 328765192173256700,
"author_name": "Addy",
"timestamp": "01/17/2023 19:01:04",
"content": "restrict the sample space to these 6 outcomes only",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065058276699557900,
"author_id": 328765192173256700,
"author_name": "Addy",
"timestamp": "01/17/2023 19:01:20",
"content": "and see in how many outcomes, 6 comes on the yellow dice",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065058328163647600,
"author_id": 328765192173256700,
"author_name": "Addy",
"timestamp": "01/17/2023 19:01:33",
"content": "It appears 3 times",
"attachments": [],
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"reference": null
},
{
"id": 1065058428969550000,
"author_id": 328765192173256700,
"author_name": "Addy",
"timestamp": "01/17/2023 19:01:57",
"content": "so 3 favourable outcomes and a total of 6 possible outcomes",
"attachments": [],
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},
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"id": 1065060972219342800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 19:12:03",
"content": "@Alexandru Has your question been resolved?",
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"id": 1065064749345275900,
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 19:27:04",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | dd488c8103a84301ab6e1b7652f8d599 |
200,830 | [
{
"id": 1065065005025857700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 19:28:05",
"content": "Available help channel!",
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},
{
"id": 1065068185717588000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 19:40:43",
"content": "Pinned a message.",
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"id": 1065068430434238500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 19:41:41",
"content": "How do you know its an eigenvector?",
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},
{
"id": 1065071790445056000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 19:55:02",
"content": "Being orthogonal to two eigenvectors doesn't tell you anything about whether you're an eigenvector",
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"id": 1065071894644150300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 19:55:27",
"content": "Also you said \"the eigenvector with the red question mark\" is why I asked how you'd know",
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},
{
"id": 1065072003255652500,
"author_id": 710280671498600400,
"author_name": "Irish Potato",
"timestamp": "01/17/2023 19:55:53",
"content": "Oh i see",
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},
{
"id": 1065072089582796900,
"author_id": 710280671498600400,
"author_name": "Irish Potato",
"timestamp": "01/17/2023 19:56:14",
"content": "?",
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},
{
"id": 1065072211397984300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 19:56:43",
"content": "Youre just searching for linear combinations of those two vectors",
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"id": 1065072260270006300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 19:56:54",
"content": "If the blue ones are the only ones then yes",
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"id": 1065073503981809700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 20:01:51",
"content": "Only useful if you matrix is symmetric",
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"id": 1065073530208784400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 20:01:57",
"content": "Which it wasn't in the Q",
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"id": 1065073643463397400,
"author_id": 710280671498600400,
"author_name": "Irish Potato",
"timestamp": "01/17/2023 20:02:24",
"content": "🥹",
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},
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"id": 1065073765949657100,
"author_id": 710280671498600400,
"author_name": "Irish Potato",
"timestamp": "01/17/2023 20:02:53",
"content": "Ok thank you",
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"id": 1065073804927320200,
"author_id": 710280671498600400,
"author_name": "Irish Potato",
"timestamp": "01/17/2023 20:03:03",
"content": ".close",
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"reference": null
},
{
"id": 1065073808593137800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 20:03:04",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 982bdff3db57439299885c45b2d79330 |
200,831 | [
{
"id": 1036114805599244300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 23:10:19",
"content": "Available help channel!",
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},
{
"id": 1036115341484507300,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "10/29/2022 23:12:27",
"content": "https://cdn.discordapp.com/attachments/269573202018041856/1035670065552568320/unknown.png",
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{
"id": 1036115343762014200,
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"timestamp": "10/29/2022 23:12:28",
"content": "Pinned a message.",
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"id": 1036115371641548900,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "10/29/2022 23:12:34",
"content": "$g(x)=f(x_0)+Df(x_0)\\cdot(x-x_0)+r(x-x_0)\\\\\nD_vf(x_0) = D_vg(x_0)=\\lim_{t\\to0}\\frac{g(x_0+tv)-g(x_0)}{t}=\\lim_{x\\to0}\\frac{Df(x_0)\\cdot tv+r(tv)}{t}=Df(x_0)\\cdot v+\\lim_{t\\to0}\\frac{r(tv)}{t}$",
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{
"id": 1036115383985377400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/29/2022 23:12:37",
"content": "**b3s4d**",
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"id": 1036116305272647700,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "10/29/2022 23:16:17",
"content": "how can i say that the last lim is equal to 0 so the expression is correct?",
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},
{
"id": 1036117391031140400,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "10/29/2022 23:20:36",
"content": "oh because a constant doesnt matter",
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},
{
"id": 1036117424937914400,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "10/29/2022 23:20:44",
"content": ".close",
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},
{
"id": 1036117427873927300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 23:20:44",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | e5c863382e8c4c82b5566f00eb432e46 |
200,832 | [
{
"id": 1065074060318482600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 20:04:04",
"content": "Available help channel!",
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},
{
"id": 1065075230902583400,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
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"timestamp": "01/17/2023 20:08:44",
"content": "Pinned a message.",
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"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:08:45",
"content": "These 2 right??",
"attachments": [],
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},
{
"id": 1065075365086757000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 20:09:15",
"content": "Use a calculator to check",
"attachments": [],
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},
{
"id": 1065075418048254000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 20:09:27",
"content": "What are you even doing?",
"attachments": [],
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},
{
"id": 1065075429658083300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/17/2023 20:09:30",
"content": "Also what",
"attachments": [],
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},
{
"id": 1065075437497233500,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:09:32",
"content": "i dont even know",
"attachments": [],
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"reference": null
},
{
"id": 1065075493797376000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:09:45",
"content": "Im doing",
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},
{
"id": 1065075517914624000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:09:51",
"content": "Improper to mixed",
"attachments": [],
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},
{
"id": 1065075540832288900,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:09:57",
"content": "But Thats not an mixed number",
"attachments": [],
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},
{
"id": 1065075561703153700,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:10:02",
"content": "i just realised",
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},
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"id": 1065075644410638300,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:10:21",
"content": "Im going over exam",
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},
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 20:25:22",
"content": "@🔥Flames’’Em MP9…☭ Has your question been resolved?",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:49:25",
"content": "Thought this channel was closed",
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"author_name": "Yeetus",
"timestamp": "01/17/2023 20:49:43",
"content": "Are you asking if your answer is correct?",
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"timestamp": "01/17/2023 20:49:46",
"content": "Yes",
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"timestamp": "01/17/2023 20:49:58",
"content": "Is that a minus 1?",
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"timestamp": "01/17/2023 20:50:06",
"content": "yes",
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"author_name": "Yeetus",
"timestamp": "01/17/2023 20:50:13",
"content": "And a 30 or 36?",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:50:21",
"content": "36",
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"id": 1065085762204348400,
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:50:34",
"content": "my hand writing that bad?",
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"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:50:37",
"content": "Dam",
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"author_name": "Yeetus",
"timestamp": "01/17/2023 20:50:41",
"content": "No just making sure",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:50:46",
"content": "Ok",
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"author_name": "Yeetus",
"timestamp": "01/17/2023 20:50:51",
"content": "Why'd you make it a negative one?",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:50:58",
"content": "It gave me a negative",
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"author_name": "Yeetus",
"timestamp": "01/17/2023 20:51:01",
"content": "Should be just positive",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:51:02",
"content": "lemme redo it",
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"timestamp": "01/17/2023 20:51:04",
"content": "maybe mistake",
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"timestamp": "01/17/2023 20:51:12",
"content": "Sure thing :)",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:51:15",
"content": "But everything else correct?",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:51:35",
"content": "Holdup lemme fix it",
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"author_name": "Yeetus",
"timestamp": "01/17/2023 20:51:55",
"content": "Well if you calculations gives 1 instead of -1 then yes",
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"timestamp": "01/17/2023 20:52:18",
"content": "when i put in the calculator It gives me neg 1",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 20:52:25",
"content": "Try 35-36",
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"timestamp": "01/17/2023 20:52:30",
"content": "See if show same",
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"timestamp": "01/17/2023 20:52:32",
"content": "For you",
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"timestamp": "01/17/2023 20:53:12",
"content": "What are you typing in?",
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"content": "Im typing in",
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"content": "36",
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"timestamp": "01/17/2023 20:53:54",
"content": "-35",
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"timestamp": "01/17/2023 20:54:02",
"content": "Subtract",
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"timestamp": "01/17/2023 20:54:04",
"content": "Not negative",
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"timestamp": "01/17/2023 20:54:07",
"content": "35",
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"timestamp": "01/17/2023 20:54:17",
"content": "36 - 35",
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"timestamp": "01/17/2023 20:55:02",
"content": "Then where is -1 coming from?",
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"timestamp": "01/17/2023 20:55:27",
"content": "i dont even know",
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"timestamp": "01/17/2023 20:55:45",
"content": "did you try it?",
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"timestamp": "01/17/2023 20:55:54",
"content": "Put 35 first then 36",
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"timestamp": "01/17/2023 20:56:03",
"content": "It gives negative 1",
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"timestamp": "01/17/2023 20:56:12",
"content": "But other way around it gives pos",
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"timestamp": "01/17/2023 20:57:16",
"content": "I don't understand what you are trying to do",
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"content": "Why are you doing 35 - 36",
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"timestamp": "01/17/2023 20:57:34",
"content": "What is your process",
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"timestamp": "01/17/2023 20:57:37",
"content": "Show your work",
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"timestamp": "01/17/2023 20:58:46",
"content": "Converting to mixed numbers",
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"timestamp": "01/17/2023 20:59:19",
"content": "So what's 36 - 35?",
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"timestamp": "01/17/2023 20:59:52",
"content": "1",
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"timestamp": "01/17/2023 21:00:07",
"content": "I wasn't asking you",
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"timestamp": "01/17/2023 21:00:22",
"content": "Oh my bad I thought the OP asked",
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"timestamp": "01/17/2023 21:00:37",
"content": "its 1",
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"timestamp": "01/17/2023 21:00:41",
"content": "i told you",
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"timestamp": "01/17/2023 21:00:57",
"content": "but why is it 1 for 36-35 but 35-36 -1?",
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"timestamp": "01/17/2023 21:01:12",
"content": "Because that's how subtraction works",
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"timestamp": "01/17/2023 21:01:27",
"content": ":ecstasy:",
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"timestamp": "01/17/2023 21:01:39",
"content": "Like what's 8 - 2?",
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"timestamp": "01/17/2023 21:01:45",
"content": "4",
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"content": "No",
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"timestamp": "01/17/2023 21:01:50",
"content": ":opencry:",
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"timestamp": "01/17/2023 21:01:52",
"content": "6",
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"timestamp": "01/17/2023 21:01:56",
"content": "Bro",
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"timestamp": "01/17/2023 21:01:57",
"content": "2 - 8?",
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"timestamp": "01/17/2023 21:01:59",
"content": "I cant do math",
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"timestamp": "01/17/2023 21:02:02",
"content": "i swear",
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"timestamp": "01/17/2023 21:02:10",
"content": "-6",
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"timestamp": "01/17/2023 21:03:41",
"content": "Same logic to this",
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"timestamp": "01/17/2023 21:03:47",
"content": "???",
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:04:37",
"content": "still doesn’t show why",
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"timestamp": "01/17/2023 21:06:26",
"content": "You're doing division, how many times does 7 go into 36. 5 times, then you do 7 * 5, and write it below the 36, then you subtract the two numbers",
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"content": "36 - 35",
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"timestamp": "01/17/2023 21:09:23",
"content": "Is this correct?",
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"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:09:44",
"content": "Ima just poster a whole page of work Instead of single and have someone correct it next time",
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"id": 1065090606067630100,
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"author_name": "dldh06",
"timestamp": "01/17/2023 21:09:48",
"content": "Where is 196 coming from?",
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"id": 1065090648497209500,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:09:59",
"content": "Thats from bottom",
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},
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"id": 1065090664708178000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:10:02",
"content": "Lcm",
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},
{
"id": 1065090719519342600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:10:15",
"content": "The lcm of what?",
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},
{
"id": 1065090751576424600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:10:23",
"content": "7 and 2",
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},
{
"id": 1065090808182751400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:10:37",
"content": "How did you get that?",
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},
{
"id": 1065090856408854500,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:10:48",
"content": "the lcm is 14",
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},
{
"id": 1065090899517911000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:10:58",
"content": "So i multipled 14 x2",
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},
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"id": 1065090955830628500,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:11:12",
"content": "And got that",
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"id": 1065090956979863700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:11:12",
"content": "Lcm stands for least common multiple",
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{
"id": 1065090990995681300,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:11:20",
"content": "Yes",
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},
{
"id": 1065091019936378900,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:11:27",
"content": "Thats least",
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{
"id": 1065091025154080800,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:11:28",
"content": "??",
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},
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"id": 1065091037707649200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:11:31",
"content": "It doesn't mean multiply both by 14",
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"id": 1065091065956270100,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:11:38",
"content": "No",
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},
{
"id": 1065091074336493700,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:11:40",
"content": "i mean",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:11:53",
"content": "It means the lowest multiple they have in common is 14",
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},
{
"id": 1065091153277489300,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:11:59",
"content": "Yes",
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},
{
"id": 1065091204179570800,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:12:11",
"content": "You need to multiply a number to get that",
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},
{
"id": 1065091216829591600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:12:14",
"content": "For 7 its 2",
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},
{
"id": 1065091230825988100,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:12:17",
"content": "And 2 its 7",
"attachments": [],
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},
{
"id": 1065091268973174800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:12:26",
"content": "Then where is 196 coming from?",
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},
{
"id": 1065091364766896300,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:12:49",
"content": "lemme redo this",
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{
"id": 1065091589552210000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:13:43",
"content": "now",
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},
{
"id": 1065091619877028000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:13:50",
"content": "I multipled both the bottom",
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},
{
"id": 1065091623052128300,
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:13:51",
"content": "",
"attachments": [
{
"id": 1065091622481707100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1065091622481707079/8F717A5C-5A18-4DE8-8ECC-04F69045E7E1.jpg",
"fileName": "8F717A5C-5A18-4DE8-8ECC-04F69045E7E1.jpg",
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{
"id": 1065091653368549400,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:13:58",
"content": "To get 196",
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},
{
"id": 1065091721400176600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:14:14",
"content": "Thats what your suppose to do?",
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{
"id": 1065091722356461700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:14:15",
"content": "Why?",
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{
"id": 1065091762768592900,
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"author_name": "dldh06",
"timestamp": "01/17/2023 21:14:24",
"content": "They already have a common denominator",
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{
"id": 1065091782859292800,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:14:29",
"content": "I mean it says its in my notes",
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"id": 1065091842942705800,
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"timestamp": "01/17/2023 21:14:43",
"content": "You just add/subtract the numerators",
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{
"id": 1065091909921546200,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:14:59",
"content": "i knew the rule changed",
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{
"id": 1065091942511284400,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:15:07",
"content": "Why it say",
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{
"id": 1065091959552753700,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:15:11",
"content": "This on my notes",
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},
{
"id": 1065091991198777500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:15:19",
"content": "Wydm by changed?",
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},
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:15:27",
"content": "The rule has always been the same",
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"id": 1065092034655952900,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:15:29",
"content": "Nothing i must of looked at different Thinf",
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{
"id": 1065092075684630700,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:15:39",
"content": "No i mean i done this before",
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{
"id": 1065092093359427700,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:15:43",
"content": "So I remember some",
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},
{
"id": 1065092144269897700,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:15:55",
"content": "But when i rewrote notes it looked longer",
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},
{
"id": 1065092174783447000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:16:02",
"content": "i saw on yt",
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},
{
"id": 1065092202700746800,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:16:09",
"content": "must of been something else",
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},
{
"id": 1065092248557076600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:16:20",
"content": "anyways my awsner is",
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},
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"id": 1065092285118812200,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:16:29",
"content": "Still the same just 14 on bottom",
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},
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"id": 1065092327883952100,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:16:39",
"content": "Here",
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},
{
"id": 1065092369990553600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:16:49",
"content": "just imagine there is 14 on bottom instead of 196",
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{
"id": 1065092388160294900,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:16:53",
"content": "Correct?",
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"author_name": "dldh06",
"timestamp": "01/17/2023 21:17:47",
"content": "Nope can't do that",
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"id": 1065092726774845600,
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"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:18:14",
"content": ":bleakkekw:",
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"id": 1065092740624425100,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:18:17",
"content": "What",
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},
{
"id": 1065092798832971800,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:18:31",
"content": "28 on bottom?",
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"id": 1065092894836396000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:18:54",
"content": "you mean you need to see it?",
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"id": 1065092969817976800,
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"timestamp": "01/17/2023 21:19:12",
"content": "",
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"author_name": "dldh06",
"timestamp": "01/17/2023 21:19:22",
"content": "No, I'm saying you can't just pretend to switch the denominators",
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"id": 1065093055885086800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:19:32",
"content": "The numerators need to be recalculated",
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},
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"id": 1065093309690814600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:20:33",
"content": "Still is -52?",
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{
"id": 1065093475923677300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:21:13",
"content": "No",
"attachments": [],
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},
{
"id": 1065093497536913400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:21:18",
"content": "> The numerators need to be recalculated",
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},
{
"id": 1065093515098476500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:21:22",
"content": "Do the math again",
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"id": 1065093743729983600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:22:16",
"content": "Improper?",
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"id": 1065093816962527400,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:22:34",
"content": "Negatives still count as improper fractions?",
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"id": 1065093842493243400,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:22:40",
"content": "I need to convert it?",
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"id": 1065093857420787700,
"author_id": 485903210272391200,
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"timestamp": "01/17/2023 21:22:44",
"content": "No",
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"id": 1065093884285300700,
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"author_name": "dldh06",
"timestamp": "01/17/2023 21:22:50",
"content": "Start from the beginning",
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},
{
"id": 1065093905999204400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:22:55",
"content": "Use 14 as the lcm",
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},
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"author_name": "dldh06",
"timestamp": "01/17/2023 21:22:58",
"content": "Redo the math",
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"id": 1065093918984785900,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:22:58",
"content": "Ok",
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},
{
"id": 1065094502429249500,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:25:17",
"content": "Same thing",
"attachments": [],
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},
{
"id": 1065094544154169300,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:25:27",
"content": "I dont under",
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},
{
"id": 1065094554103054500,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:25:30",
"content": "Understand",
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},
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"id": 1065094585489043500,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:25:37",
"content": "Whats wrong",
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},
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"id": 1065094610923307000,
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"timestamp": "01/17/2023 21:25:43",
"content": "Post your work",
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"id": 1065094833900880000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:26:36",
"content": "Love",
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"timestamp": "01/17/2023 21:28:58",
"content": "That's good",
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"id": 1065095615245209700,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:29:43",
"content": "Ok",
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},
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"id": 1065095647864295600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:29:50",
"content": "So its right??",
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"id": 1065095704365768800,
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"timestamp": "01/17/2023 21:30:04",
"content": "Yes",
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"id": 1065095763388022800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:30:18",
"content": "Except you can simplify that",
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"id": 1065096574277013600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:33:31",
"content": "Since when",
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"id": 1065096677465276400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:33:56",
"content": "Since ever",
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"id": 1065096812823843000,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:34:28",
"content": "so i simplify by",
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"id": 1065096828380520600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:34:32",
"content": "The lcm",
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},
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"id": 1065096882029875200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:34:45",
"content": "You have -52/14, what do they have in common?",
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"id": 1065096992075812900,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:35:11",
"content": "Nothinf",
"attachments": [],
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},
{
"id": 1065097003178131600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:35:14",
"content": "nothing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065097018135031800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:35:17",
"content": "No",
"attachments": [],
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},
{
"id": 1065097054910685200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:35:26",
"content": "You can simplify that",
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},
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"id": 1065097076041597000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:35:31",
"content": "-52/14 simplifies",
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},
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"id": 1065097270409826400,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:36:17",
"content": "idk how to simplify",
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},
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"id": 1065097413540466700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:36:51",
"content": "My suggestion\nhttps://www.youtube.com/watch?v=oFVzcnJfYkg&ab_channel=MathwithMr.J",
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},
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"id": 1065098199334932600,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:39:59",
"content": "Ill open another channel in a min",
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},
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"id": 1065098216393154700,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:40:03",
"content": "Needa do some",
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},
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"id": 1065098230498594800,
"author_id": 473946760310685700,
"author_name": "🔥Flames’’Em MP9…☭",
"timestamp": "01/17/2023 21:40:06",
"content": ".close",
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},
{
"id": 1065098233493344400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 21:40:07",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 7320b9f11f814e80a9371880ce572ce1 |
200,833 | [
{
"id": 1065098897246134400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 21:42:45",
"content": "Available help channel!",
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},
{
"id": 1065100067486306300,
"author_id": 837872109085524000,
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"timestamp": "01/17/2023 21:47:25",
"content": "Pinned a message.",
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"author_id": 837872109085524000,
"author_name": "六対ゼロ",
"timestamp": "01/17/2023 21:47:46",
"content": "not 100% what it means could someone explain it a little clearer",
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"id": 1065100459720851600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:48:58",
"content": "What side is opposite of the angle?",
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"author_name": "六対ゼロ",
"timestamp": "01/17/2023 21:50:38",
"content": "oh i feel so dumb rn sorry but just to confirm it would be pq",
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"id": 1065100971329458300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:51:00",
"content": "What's the angle that it states?",
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"id": 1065101005886324700,
"author_id": 837872109085524000,
"author_name": "六対ゼロ",
"timestamp": "01/17/2023 21:51:08",
"content": "85",
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{
"id": 1065101070126284800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:51:23",
"content": "And the side that is opposite from it?",
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"id": 1065101193585639400,
"author_id": 837872109085524000,
"author_name": "六対ゼロ",
"timestamp": "01/17/2023 21:51:53",
"content": "would be pq?",
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"id": 1065101562214617100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:53:21",
"content": "Something like this might be helpful",
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"author_id": 837872109085524000,
"author_name": "六対ゼロ",
"timestamp": "01/17/2023 21:54:57",
"content": "oh so if we go by that it would be rq",
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"timestamp": "01/17/2023 21:55:08",
"content": "Yes",
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"id": 1065102065594019800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2023 21:55:21",
"content": "That's what it means to be opposite from the angle",
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"id": 1065102594952925300,
"author_id": 837872109085524000,
"author_name": "六対ゼロ",
"timestamp": "01/17/2023 21:57:27",
"content": ".close",
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},
{
"id": 1065102597763104800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 21:57:27",
"content": "Channel closed",
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}
] | help-9 | 857df2acd14b47adb275fa611ec060b2 |
200,834 | [
{
"id": 1065102851057143800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 21:58:28",
"content": "Available help channel!",
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},
{
"id": 1065104435346419700,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:04:46",
"content": "$x\\sqrt{x-4}$",
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},
{
"id": 1065104437976244400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 22:04:46",
"content": "Pinned a message.",
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"id": 1065104446180307000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2023 22:04:48",
"content": "**spetnaz**",
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"id": 1065104453759414300,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:04:50",
"content": "How to interval something like this?",
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},
{
"id": 1065104507010285600,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:05:03",
"content": "Integrate*",
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{
"id": 1065104668121907300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/17/2023 22:05:41",
"content": "Try u substitution",
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},
{
"id": 1065104839836704900,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:06:22",
"content": "i did that with u = x - 4 but du did not equal x",
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},
{
"id": 1065104866818666500,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:06:28",
"content": "it only equal 1",
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},
{
"id": 1065104930031013900,
"author_id": 264657660190654460,
"author_name": "agilepotato",
"timestamp": "01/17/2023 22:06:44",
"content": "how about u^2=x-4",
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"id": 1065105031814189200,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:07:08",
"content": "how does that do it",
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},
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"id": 1065105816190980200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 22:10:15",
"content": "what did you get here?",
"attachments": [],
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"id": 1065105826982940700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 22:10:17",
"content": "Care to show?",
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"id": 1065106087268859900,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:11:19",
"content": "i tried u substitution, so i do u = x - 4. Then I do du/dx = 1. Then I do du = dx. But I can't get rid of the left x. This is the only strategy I know how to do",
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"id": 1065106205237854200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 22:11:48",
"content": "x=u+4",
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"id": 1065106212435271700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 22:11:49",
"content": "Try it out",
"attachments": [],
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},
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"id": 1065106225349546000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 22:11:52",
"content": "play with it",
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},
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"id": 1065106689482817700,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:13:43",
"content": "so i get u + 4 times the square root of u",
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"id": 1065106784395739300,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:14:06",
"content": "I dont get any du cuz u is not isolated anymore",
"attachments": [],
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},
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"id": 1065107037584896100,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 22:15:06",
"content": "You lost me there. Not sure what you mean",
"attachments": [],
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},
{
"id": 1065107121580032000,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:15:26",
"content": "i just substituted x for u + 4 right?",
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},
{
"id": 1065107140039168000,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:15:30",
"content": "From the main problem",
"attachments": [],
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},
{
"id": 1065107159010005000,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:15:35",
"content": "But that is not what i need to do",
"attachments": [],
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},
{
"id": 1065107166534582300,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:15:37",
"content": "I need to make u",
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},
{
"id": 1065107184838508700,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:15:41",
"content": "and then du",
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},
{
"id": 1065107227104510000,
"author_id": 1064251776238366700,
"author_name": "spetnaz",
"timestamp": "01/17/2023 22:15:51",
"content": "du * sqrt(u)",
"attachments": [],
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},
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"id": 1065109608588378100,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 22:25:19",
"content": "Nah you don't need to make it du*sqrt(u)",
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},
{
"id": 1065109749282115700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/17/2023 22:25:53",
"content": "Mind showing what you have written so far?",
"attachments": [],
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"reference": null
},
{
"id": 1065111008886136800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 22:30:53",
"content": "@spetnaz Has your question been resolved?",
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"id": 1065114788532854800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 22:45:54",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | acc1a0507ec646d9848e01d0aeadf40c |
200,835 | [
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"timestamp": "01/17/2023 22:46:54",
"content": "Available help channel!",
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},
{
"id": 1065116481731428500,
"author_id": 525457133718994940,
"author_name": "Tasi",
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"timestamp": "01/17/2023 22:52:38",
"content": "Pinned a message.",
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"id": 1065116504191946800,
"author_id": 525457133718994940,
"author_name": "Tasi",
"timestamp": "01/17/2023 22:52:43",
"content": "what would this graph look like?",
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"id": 1065116718642503700,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "01/17/2023 22:53:34",
"content": "it would look like the thing you drew",
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"id": 1065116723923132500,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "01/17/2023 22:53:35",
"content": "in red",
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"id": 1065116797105344500,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "01/17/2023 22:53:53",
"content": "i assume you mean y=-x^2+8x-12",
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"id": 1065117095127433200,
"author_id": 525457133718994940,
"author_name": "Tasi",
"timestamp": "01/17/2023 22:55:04",
"content": "that ain't my drawing",
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},
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"id": 1065117126274339000,
"author_id": 525457133718994940,
"author_name": "Tasi",
"timestamp": "01/17/2023 22:55:11",
"content": "so there's 2 solutions for x",
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"id": 1065117168024432800,
"author_id": 525457133718994940,
"author_name": "Tasi",
"timestamp": "01/17/2023 22:55:21",
"content": "that would mean the graph would go through points 2 and 6 on the x line yeh?",
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"id": 1065117173317632000,
"author_id": 548061006170161150,
"author_name": "ColdTee",
"timestamp": "01/17/2023 22:55:23",
"content": "$\\graph{-x^2 + 8*x - 12}{-15}{15}{y}{x}$",
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"id": 1065117188840767500,
"author_id": 525457133718994940,
"author_name": "Tasi",
"timestamp": "01/17/2023 22:55:26",
"content": "but (0,12)?",
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"id": 1065117267345543200,
"author_id": 525457133718994940,
"author_name": "Tasi",
"timestamp": "01/17/2023 22:55:45",
"content": "oh okay",
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},
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"id": 1065117278498197500,
"author_id": 525457133718994940,
"author_name": "Tasi",
"timestamp": "01/17/2023 22:55:48",
"content": "great, thank!",
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},
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"id": 1065117285775319000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2023 22:55:49",
"content": "**ColdTee**",
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"timestamp": "01/17/2023 22:55:58",
"content": "makes sense",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2023 23:10:58",
"content": "@Tasi Has your question been resolved?",
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"timestamp": "01/17/2023 23:11:54",
"content": "Channel closed",
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}
] | help-9 | b8daed37782e4aa1a7d6bfb2699b73df |
200,836 | [
{
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"content": "Available help channel!",
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},
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"author_id": 441994547610910700,
"author_name": "Lawnmower Man",
"timestamp": "01/17/2023 23:29:35",
"content": "Quick question, in suites what can we say 1+1+1+1+1+1+1+1+....\nWould that be n or n+1 or ?",
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"content": "@Lawnmower Man Has your question been resolved?",
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"content": ".close",
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{
"id": 1065133187593936900,
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}
] | help-9 | 3193ab1999ca4fb080afc359c9386084 |
200,837 | [
{
"id": 1065138602645925900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 00:20:32",
"content": "Available help channel!",
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},
{
"id": 1065143321393123300,
"author_id": 215761998795898880,
"author_name": "Atsukii",
"timestamp": "01/18/2023 00:39:17",
"content": "Hi,",
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"content": "Pinned a message.",
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"author_id": 215761998795898880,
"author_name": "Atsukii",
"timestamp": "01/18/2023 00:40:26",
"content": "I'm not supposed to find infinity for the limit",
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"timestamp": "01/18/2023 00:56:27",
"content": "@Atsukii Has your question been resolved?",
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"author_name": "Hexicle",
"timestamp": "01/18/2023 00:57:34",
"content": "Your Riemann sum is incorrect. If you are using the right handed sum it is $\\lim_{n\\rightarrow \\infty} \\sum_{i=1}^{n} f(x_i) \\Delta x= \\lim_{n\\rightarrow \\infty} \\frac{100}{6n^{3}} (n)(n+1)(2n+1) = 100/3$ as expected where $x_i = 100i/n $ and $\\Delta x = 100/n$.",
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"timestamp": "01/18/2023 01:00:13",
"content": "**Hexicle**",
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"author_name": "Atsukii",
"timestamp": "01/18/2023 01:01:17",
"content": "@Hexicle how isn't xi = 100i^2/n ?",
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"author_name": "Atsukii",
"timestamp": "01/18/2023 01:01:55",
"content": "also delta x, is supposed to be : b-a/n right ? how is it 100/n and not 10/n ?",
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"author_name": "Hexicle",
"timestamp": "01/18/2023 01:07:22",
"content": "Sorry I made a typo in both places, Delta x is 10/n and x_i is 10i/n",
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"author_name": "Atsukii",
"timestamp": "01/18/2023 01:08:48",
"content": "Np but do u know why I find inf ?",
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"timestamp": "01/18/2023 01:11:28",
"content": "Channel closed",
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}
] | help-9 | ed9ea004a1914af6a347b60e55657e41 |
200,838 | [
{
"id": 1065160618384044200,
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"timestamp": "01/18/2023 01:48:01",
"content": "Available help channel!",
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},
{
"id": 1065162082170978400,
"author_id": 423538592737132540,
"author_name": "Kold",
"timestamp": "01/18/2023 01:53:50",
"content": "Would $x^2+\\left(y-3\\right)^2=9$ be a valid final answer to \"Convert the polar equ. to rectangular coords. (Use vars. x and y as needed).\"",
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"id": 1065162084763054100,
"author_id": 805217272087838700,
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"timestamp": "01/18/2023 01:53:50",
"content": "Pinned a message.",
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"timestamp": "01/18/2023 01:54:09",
"content": "**Kold**",
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"id": 1065162741763014700,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "01/18/2023 01:56:27",
"content": "Where's da polar eq",
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},
{
"id": 1065162804400754700,
"author_id": 423538592737132540,
"author_name": "Kold",
"timestamp": "01/18/2023 01:56:42",
"content": "shit sorry hahaha",
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"id": 1065162832318038100,
"author_id": 423538592737132540,
"author_name": "Kold",
"timestamp": "01/18/2023 01:56:48",
"content": "its r = 6sin(theta)",
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"id": 1065163613494575100,
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"author_name": "Kold",
"timestamp": "01/18/2023 01:59:55",
"content": "@Ankit",
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"id": 1065163859943510100,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "01/18/2023 02:00:53",
"content": "Yeah that's correct",
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},
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"id": 1065166362105880600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/18/2023 02:10:50",
"content": ".close",
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"id": 1065166366472159200,
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"timestamp": "01/18/2023 02:10:51",
"content": "Channel closed",
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}
] | help-9 | 72b2edbd8a6c4b1eafd5091db4111bdd |
200,839 | [
{
"id": 1065167817139310600,
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 02:16:37",
"content": "Available help channel!",
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},
{
"id": 1065170747380731900,
"author_id": 285058231494246400,
"author_name": "rain ⚜",
"timestamp": "01/18/2023 02:28:16",
"content": "can i post physics problems?",
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},
{
"id": 1065170749746323500,
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"content": "Pinned a message.",
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"author_name": "rain ⚜",
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"id": 1065171230044475400,
"author_id": 285058231494246400,
"author_name": "rain ⚜",
"timestamp": "01/18/2023 02:30:11",
"content": "also for this problem",
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},
{
"id": 1065171366107689000,
"author_id": 285058231494246400,
"author_name": "rain ⚜",
"timestamp": "01/18/2023 02:30:43",
"content": "could i just write i=90degress, i^2=180 degrees therefore i^3 = 270 degrees or would i have to write out the whole thing like this",
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"id": 1065175141866283000,
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 02:45:43",
"content": "@rain ⚜ Has your question been resolved?",
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"id": 1065175477473509400,
"author_id": 354899211617042400,
"author_name": "lewis_f04",
"timestamp": "01/18/2023 02:47:03",
"content": "Umm, when I first saw your problem I multiplied 90 by 3 to get your answer, but I think you’re best to show it as they have",
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},
{
"id": 1065176154845233300,
"author_id": 285058231494246400,
"author_name": "rain ⚜",
"timestamp": "01/18/2023 02:49:45",
"content": "tbh i dont even know where or why they pulled out the re^itheta",
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},
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"id": 1065176190169661600,
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"timestamp": "01/18/2023 02:49:53",
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"id": 1065176201515241600,
"author_id": 285058231494246400,
"author_name": "rain ⚜",
"timestamp": "01/18/2023 02:49:56",
"content": "nor how this step was managed",
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},
{
"id": 1065181690445713400,
"author_id": 285058231494246400,
"author_name": "rain ⚜",
"timestamp": "01/18/2023 03:11:45",
"content": ".close",
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},
{
"id": 1065181693025198200,
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"timestamp": "01/18/2023 03:11:45",
"content": "Channel closed",
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}
] | help-9 | d1049a7c7c454a26bd3ef957799d6af5 |
200,840 | [
{
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"content": "Available help channel!",
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},
{
"id": 1065184189919526900,
"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:21:41",
"content": "Hello, may I ask help proving this identity",
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"timestamp": "01/18/2023 03:21:41",
"content": "Pinned a message.",
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"id": 1065184342067912700,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/18/2023 03:22:17",
"content": "do you know what csc^2(x) is equal to",
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"id": 1065184525614858200,
"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:23:01",
"content": "Is it equivalent to like iirc an identity involving 1 and a cot",
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"id": 1065184601330438300,
"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:23:19",
"content": "Oh wait",
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"id": 1065184708096442400,
"author_id": 695134716990324700,
"author_name": "Jeydie",
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"content": "Pythagorean lol",
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"id": 1065184710508163100,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/18/2023 03:23:45",
"content": "yep",
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"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:24:13",
"content": "Csc^2 x = cot^2 x + 1",
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"id": 1065184895439224800,
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"author_name": "starlight",
"timestamp": "01/18/2023 03:24:29",
"content": "yup",
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"id": 1065184904796717000,
"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:24:31",
"content": "So like",
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},
{
"id": 1065184916121325600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/18/2023 03:24:34",
"content": "so do you know how to do the rest?",
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"id": 1065185126394376200,
"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:25:24",
"content": "May I write the right hand side as 1 + cot^2x + cot^2x?",
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"id": 1065185166756155500,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/18/2023 03:25:33",
"content": "yup",
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"id": 1065185258154242000,
"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:25:55",
"content": "Since it really came from an elaborate set, this it just the numerator, the denominator ive taken care of",
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"id": 1065185291779981300,
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"author_name": "Jeydie",
"timestamp": "01/18/2023 03:26:03",
"content": "Okay ty",
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"id": 1065185301611413500,
"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:26:06",
"content": "Damn",
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},
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"id": 1065185376458784900,
"author_id": 695134716990324700,
"author_name": "Jeydie",
"timestamp": "01/18/2023 03:26:23",
"content": "Who knew it was all bc I didn’t know what to do with 2cot^2x",
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"timestamp": "01/18/2023 03:26:30",
"content": "Ty ty really",
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"timestamp": "01/18/2023 03:27:26",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 03:27:27",
"content": "Channel closed",
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] | help-9 | e8213057893f4388af170c125b2d1ea9 |
200,841 | [
{
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"id": 1065211344422441100,
"author_id": 794468037699960800,
"author_name": "IndianaJones",
"timestamp": "01/18/2023 05:09:35",
"content": "Hi! I have a question concering this type of equation: (1155*(385+x))/(6x+6) congruent to x mod (x+1), how do I go around finding solutions to it? I already know x=0 and x=162 but this is assuming I don't",
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"author_id": 926296420418486300,
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"content": "Does Log10 = Log = ln?",
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"content": "@IndianaJones Has your question been resolved?",
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"timestamp": "01/18/2023 05:24:55",
"content": "@Helpers",
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"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "01/18/2023 05:28:07",
"content": "Im a little confused to what your question is.",
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"author_name": "sloppymope",
"timestamp": "01/18/2023 05:29:17",
"content": "send the equation and I will help you solve it.",
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"id": 1065217198177648600,
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"author_name": "IndianaJones",
"timestamp": "01/18/2023 05:32:50",
"content": "$\\frac{1155*(385+x)}{6x+6} \\cong x mod (x+1)$",
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"id": 1065217207258333300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/18/2023 05:32:52",
"content": "**IndianaJones**",
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"id": 1065217224094265300,
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"timestamp": "01/18/2023 05:32:57",
"content": "There",
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{
"id": 1065217503527186600,
"author_id": 794468037699960800,
"author_name": "IndianaJones",
"timestamp": "01/18/2023 05:34:03",
"content": "Well the equal plus ~ should be three straight lines but anyways it's that",
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"id": 1065217573794361300,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/18/2023 05:34:20",
"content": "\\equiv",
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"id": 1065217624436383700,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/18/2023 05:34:32",
"content": "Also do \\mod so it separates from the x",
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},
{
"id": 1065217699506036900,
"author_id": 794468037699960800,
"author_name": "IndianaJones",
"timestamp": "01/18/2023 05:34:50",
"content": "$\\frac{1155*(385+x)}{6x+6} \\equiv x \\mod (x+1)$",
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"id": 1065217708699963400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/18/2023 05:34:52",
"content": "**IndianaJones**",
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"id": 1065217787972292700,
"author_id": 794468037699960800,
"author_name": "IndianaJones",
"timestamp": "01/18/2023 05:35:11",
"content": "Thank you",
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"id": 1065225339221065700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 06:05:11",
"content": "@IndianaJones Has your question been resolved?",
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"timestamp": "01/18/2023 06:35:12",
"content": "Channel closed",
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}
] | help-9 | fe00ab7569ac41119aa76db408df77c5 |
200,842 | [
{
"id": 1033138465006694400,
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"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 18:03:24",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"id": 1033138743957274600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 18:04:31",
"content": "did you get axioms",
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},
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"id": 1033138842175295500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 18:04:54",
"content": "the field axioms",
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},
{
"id": 1033138962404999300,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:05:23",
"content": "yeah",
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{
"id": 1033138994294300700,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:05:31",
"content": "it has to do",
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{
"id": 1033139004654235600,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:05:33",
"content": "with additive inverse",
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},
{
"id": 1033139303049593000,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:06:44",
"content": "wait",
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},
{
"id": 1033139322590859300,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:06:49",
"content": "can i move",
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},
{
"id": 1033139361459478500,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:06:58",
"content": "-(x * y) to the other side?",
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{
"id": 1033139604854931500,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:07:56",
"content": "or is that not allowed in fields",
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{
"id": 1033140323079180300,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:10:47",
"content": "Prove that they are both additive inverse of xy",
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"id": 1033140661861498900,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:12:08",
"content": "how so?",
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{
"id": 1033140749518254100,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:12:29",
"content": "like (-x)y-(xy) = 0?",
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{
"id": 1033141575804518500,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:15:46",
"content": "xy+(-x)y=(x+(-x))y=0y=0",
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"id": 1033141615755284500,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:15:56",
"content": "Proving 0y = 0 is trivial",
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"id": 1033142003598377100,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:17:28",
"content": "Then as a final note using the inverse uniqueness axiom, (-x)y = -xy",
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"id": 1033142514879832000,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:19:30",
"content": "@suck me",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 18:27:29",
"content": "@suck me Has your question been resolved?",
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"id": 1033145682648911900,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:32:05",
"content": "sorry how did u do + xy on both sides??",
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"id": 1033145720456368100,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:32:14",
"content": "wait",
"attachments": [],
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},
{
"id": 1033145733366435800,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:32:17",
"content": "im a little lost here",
"attachments": [],
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"reference": null
},
{
"id": 1033145846897840300,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:32:44",
"content": "how did u get the first step",
"attachments": [],
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},
{
"id": 1033145853860384900,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:32:46",
"content": "i get the rest",
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},
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"id": 1033146195419336800,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:34:07",
"content": "Typo sorry",
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},
{
"id": 1033147290459844600,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:38:28",
"content": "wait but",
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},
{
"id": 1033147329945022500,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:38:38",
"content": "xy+(-x)y=(x+(-x))y",
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},
{
"id": 1033147338618839200,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:38:40",
"content": "how did u get",
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},
{
"id": 1033147363163897900,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:38:46",
"content": "xy+(-x)y",
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},
{
"id": 1033147677032071200,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:40:01",
"content": "We’re trying to show (-x)y is the additive inverse of xy",
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},
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"id": 1033147732950528000,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:40:14",
"content": "Hence showing xy+(-x)y = 0",
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},
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"id": 1033147912055693300,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:40:57",
"content": "so u factored out y",
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},
{
"id": 1033147946029563900,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:41:05",
"content": "wait",
"attachments": [],
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},
{
"id": 1033147958918656000,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:41:08",
"content": "im kindof lost",
"attachments": [],
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},
{
"id": 1033148012396032100,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:41:21",
"content": "Yes you factor out the y",
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},
{
"id": 1033148115395563500,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:41:45",
"content": "but how did you know to get that inital step",
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"id": 1033148207473098800,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:42:07",
"content": "from",
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"id": 1033148244055834800,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:42:16",
"content": "We are trying to prove xy+(-x)y = 0",
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},
{
"id": 1033148330261348400,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:42:36",
"content": "Because we know that the additive inverse of xy is -(xy)",
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"id": 1033148353132896300,
"author_id": 235804143200108540,
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"timestamp": "10/21/2022 18:42:42",
"content": "right",
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"id": 1033148445621506000,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:43:04",
"content": "If we prove that (-x)y is also the additive inverse of xy then we’re done",
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},
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"id": 1033148541775904900,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:43:27",
"content": "Because we know for every x in F -x is unique",
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},
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"id": 1033148607550988300,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:43:43",
"content": "hm.",
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},
{
"id": 1033148616421949400,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:43:45",
"content": "ok so",
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},
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"id": 1033148627658485800,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:43:47",
"content": "since we know",
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"id": 1033148666027974700,
"author_id": 235804143200108540,
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"timestamp": "10/21/2022 18:43:56",
"content": "-(xy) + xy = 0",
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},
{
"id": 1033148746004971500,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:44:16",
"content": "if we can prove that -(x)y + xy = 0",
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},
{
"id": 1033148770478719100,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:44:21",
"content": "rather",
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{
"id": 1033148781539106800,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:44:24",
"content": "we also know",
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},
{
"id": 1033148829211557900,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:44:35",
"content": "that the additive inverse of -(x)y is also",
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},
{
"id": 1033148835138109400,
"author_id": 235804143200108540,
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"timestamp": "10/21/2022 18:44:37",
"content": "xy",
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},
{
"id": 1033148951014154400,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:45:04",
"content": "ok i get it",
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},
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"id": 1033149201699323900,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/21/2022 18:46:04",
"content": ":catclap:",
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"id": 1033150459197796400,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:51:04",
"content": "thankk youu",
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},
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"id": 1033150464583274600,
"author_id": 235804143200108540,
"author_name": "suck me",
"timestamp": "10/21/2022 18:51:05",
"content": ".close",
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"id": 1033150467909365800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 18:51:06",
"content": "Channel closed",
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] | help-9 | 2180dfaf5e974eea802aa5e0b0385c90 |
200,843 | [
{
"id": 1036122250904088600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2022 23:39:54",
"content": "Available help channel!",
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"content": "Can someone help pls",
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},
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"id": 1036123199496261600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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{
"id": 1036123836954976300,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:46:12",
"content": "\"increased the price by 5%\"",
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},
{
"id": 1036124013161889800,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:46:54",
"content": "Ugh",
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},
{
"id": 1036124074482597900,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:47:09",
"content": "So",
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},
{
"id": 1036124097618399200,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:47:15",
"content": "how would you write that in mathematical terms?",
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},
{
"id": 1036124109320507500,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:47:17",
"content": "105x41,200",
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},
{
"id": 1036124122935205900,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:47:21",
"content": "yes",
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},
{
"id": 1036124131239923800,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:47:23",
"content": "but in decimal",
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},
{
"id": 1036124152979017700,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:47:28",
"content": "105% x 41200",
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"reference": null
},
{
"id": 1036124199674191900,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:47:39",
"content": "what's 105% in decimal?",
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},
{
"id": 1036124223904686200,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:47:45",
"content": "Uhm",
"attachments": [],
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},
{
"id": 1036124244293189800,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:47:50",
"content": "5/100",
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},
{
"id": 1036124255601053800,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:47:52",
"content": "?",
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},
{
"id": 1036124261867323400,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:47:54",
"content": "hm?",
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},
{
"id": 1036124285531603000,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:47:59",
"content": "Idk",
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},
{
"id": 1036124293693722800,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:48:01",
"content": "105% in decimal is 5/100?",
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},
{
"id": 1036124313738297300,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:48:06",
"content": "Skhsjsnsjss",
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},
{
"id": 1036124323682979800,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:48:09",
"content": "😭😭😭",
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},
{
"id": 1036124335888416800,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:48:11",
"content": "Idkkkk",
"attachments": [],
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},
{
"id": 1036124358835441800,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:48:17",
"content": "hint: a% = a/100",
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},
{
"id": 1036124359066128400,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:48:17",
"content": "10.5",
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},
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"id": 1036124374404710500,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:48:21",
"content": "nope",
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},
{
"id": 1036124470060003300,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:48:43",
"content": "0.05",
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},
{
"id": 1036124502364541000,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:48:51",
"content": "105% = 105/100",
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},
{
"id": 1036124521113075800,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:48:56",
"content": "so it should be 1.05",
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},
{
"id": 1036124615916920800,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:49:18",
"content": "so for part a, the answer would be 1.05 x 41200",
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},
{
"id": 1036124631704293400,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:49:22",
"content": "for part b, simply calculate part a",
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},
{
"id": 1036124789728890900,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:50:00",
"content": "So",
"attachments": [],
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},
{
"id": 1036124813183438800,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:50:05",
"content": "43260",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036124838093398000,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:50:11",
"content": "yes",
"attachments": [],
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},
{
"id": 1036124864509116500,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/29/2022 23:50:17",
"content": ",calc 1.05*41200",
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},
{
"id": 1036124865809363000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/29/2022 23:50:18",
"content": "Result:\n```\n43260\n```",
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"reference": null
},
{
"id": 1036125184991695000,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:51:34",
"content": "Yay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036125242587889800,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:51:48",
"content": "So for here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036125248547995600,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:51:49",
"content": "It would be",
"attachments": [],
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"reference": null
},
{
"id": 1036125304705519600,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:52:02",
"content": "1,07 x251000",
"attachments": [],
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"reference": null
},
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"id": 1036125332916412400,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:52:09",
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"id": 1036125588215308300,
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"author_name": "okay",
"timestamp": "10/29/2022 23:53:10",
"content": "@$nichoals$",
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{
"id": 1036125987315916800,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:54:45",
"content": "Uhm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036126798670471300,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:57:59",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 1036126811647660200,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:58:02",
"content": "Should I do",
"attachments": [],
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"reference": null
},
{
"id": 1036126833529335900,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/29/2022 23:58:07",
"content": "1,07 x251000",
"attachments": [],
"mentions": [],
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},
{
"id": 1036127772768219100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/30/2022 00:01:51",
"content": "100 percent of the original value but minus 7 percent. What is 100 minus 7 percent? What’s that in decimal form?",
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},
{
"id": 1036128063366365200,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/30/2022 00:03:00",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128192651608000,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/30/2022 00:03:31",
"content": "93?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128229502759000,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/30/2022 00:03:40",
"content": "Wait no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128236234620900,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/30/2022 00:03:41",
"content": "Idk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128396985503900,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/30/2022 00:04:20",
"content": "Is it right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128652527669200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/30/2022 00:05:21",
"content": "93 percent IS right!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128676611358700,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/30/2022 00:05:26",
"content": "Yayyyy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128702490234900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/30/2022 00:05:33",
"content": "Now, what’s that in decimal?",
"attachments": [],
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"reference": null
},
{
"id": 1036128801404502000,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/30/2022 00:05:56",
"content": "0.93",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128824741613600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/30/2022 00:06:02",
"content": "Ok ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128906190798800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/30/2022 00:06:21",
"content": "Now, what is 0.93 * old value?",
"attachments": [],
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},
{
"id": 1036128931251753100,
"author_id": 823713014174974000,
"author_name": "okay",
"timestamp": "10/30/2022 00:06:27",
"content": "0.93x251000",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036128958598631400,
"author_id": 408720262368854000,
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] | help-9 | a2fccb70cdac4fca865b2ce38e46e529 |
200,844 | [
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"content": "I pluged it in mathway but it didn't solve it",
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/18/2023 07:58:31",
"content": "the last step, why did you take roots on both sides?",
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] | help-9 | 3f38fcc2caef4229b3b588d2e3619e52 |
200,845 | [
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] | help-9 | 9f9b76aac3a34f029ac108f7bcb00b8a |
200,846 | [
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] | help-9 | 3300c5f4d9d64bc6a8721ef609fa02ad |
200,847 | [
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"content": "whats diff betweenn normal distrubtion and emperical discrete distrubtion",
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"content": "**i love to boki**",
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200,848 | [
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"content": "How do I solve this. Also how do I backwards in the other two pictures. My teacher only gave us formulas and nothing else. So I am super confused.\n\nSpecially I’m really confused about what to do when the variable is in the denominator \n\nCurrently in AP Calculus in highschool",
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"content": "These are the formulas he gave us",
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"content": "Previous teachers have I don’t remember what math I did where we learned this, but it’s been awhile. But I just don’t remember what to do when the variable is in the denominator. Also with the third picture I see a square root which no such thing exists in the formulas he gave us",
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"content": "i mean ok like",
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"content": "#3 is a sum of only five terms. you're expected to write it out longhand and do the calculations manually, without the application of any formula.",
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"content": "for that purpose it doesn't _matter_ where the index of summation happens to appear in the summand.",
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"content": "#7 through #13 are... about identifying what pattern is being suggested here with an index variable ranging from 1 to n",
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"content": "Okay this was the homework we gave us. I kinda just assumed we had to do it with formulas since it never said to do it manually",
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"content": "In a couple of minutes could I maybe post my answers and could your verify if I’m right or wrong",
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"content": "@ApolloV Has your question been resolved?",
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] | help-9 | fe2a7f6b38dc46539fa47d5957403723 |
200,849 | [
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"content": "What is the radius of the red circle?",
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"content": "A and B are 2 meters apart from each other",
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"content": "2 circles were drawn wirth middle A and C",
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"content": "radius 2",
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"content": "and the circle in the middle not sure how is say this but is tangent with the x axis and the 2 other circles",
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"content": "my bad i meant to say C",
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"timestamp": "01/18/2023 10:58:18",
"content": "this was a question on a math competition i did today so far the only one that i think is wrong",
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"content": "i guessed 4/5 but according to my computer it has to be 3/4 but idk why",
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"timestamp": "01/18/2023 11:07:48",
"content": "i spent like an hour on it during the competition",
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"content": "@you_are_me Has your question been resolved?",
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"timestamp": "01/18/2023 11:37:17",
"content": "You could try to make functions for the circles and make new circle function, that has 1 common point with 2 big circles and goes through point (0,0).",
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] | help-9 | 7fe30050f2224ac8923ecd7c6b8d92f8 |
200,850 | [
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200,851 | [
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"content": "how to solve",
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"content": "X = 160",
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"content": "pls",
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"content": "Uhm let me see, its not written down very clearly",
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"author_name": "Casper",
"timestamp": "01/18/2023 14:02:48",
"content": "The right hand side is simple, because you have the square of a square root, and what do you get on the left hand side?",
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"timestamp": "01/18/2023 14:04:39",
"content": "so my problem is",
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"timestamp": "01/18/2023 14:04:45",
"content": "no matter how i try to do it",
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"content": "my constat cancle eachother",
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"timestamp": "01/18/2023 14:06:57",
"content": "**Stephen**",
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"timestamp": "01/18/2023 14:07:17",
"content": "This is what u have right",
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"timestamp": "01/18/2023 14:07:22",
"content": "yep",
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"author_name": "Stephen",
"timestamp": "01/18/2023 14:07:39",
"content": "Now simplify a little further and tell me what u get",
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"timestamp": "01/18/2023 14:08:08",
"content": "well,",
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"content": "i can do it several ways i think",
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"timestamp": "01/18/2023 14:08:54",
"content": "(12-0,2x)^2 = (-4)^2 * (0,1x+9)",
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"timestamp": "01/18/2023 14:09:08",
"content": "**Stephen**",
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"timestamp": "01/18/2023 14:09:27",
"content": "u agree?",
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"timestamp": "01/18/2023 14:09:30",
"content": "sure",
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"timestamp": "01/18/2023 14:09:37",
"content": "alright, now simplify the right side",
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"content": "1,6x+144",
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"timestamp": "01/18/2023 14:10:18",
"content": "good, now expand the left side",
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"timestamp": "01/18/2023 14:10:28",
"content": "oh yeah",
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"timestamp": "01/18/2023 14:10:30",
"content": "i get it know",
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"timestamp": "01/18/2023 14:10:43",
"content": "$(12-0.2x)(12-0.2x) = 1.6x + 144$",
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"timestamp": "01/18/2023 14:10:45",
"content": "**Stephen**",
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"timestamp": "01/18/2023 14:10:54",
"content": "no actually",
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"timestamp": "01/18/2023 14:11:11",
"content": "haha aight",
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"timestamp": "01/18/2023 14:11:22",
"content": "144-4,8x+0,04x^2",
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"timestamp": "01/18/2023 14:11:29",
"content": "but then",
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"content": "my constants still cancel eachother",
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"timestamp": "01/18/2023 14:11:46",
"content": "@Stephen",
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"id": 1065347854668923000,
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"timestamp": "01/18/2023 14:12:01",
"content": "lemme see",
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"timestamp": "01/18/2023 14:13:33",
"content": "ok so whats the issue",
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"timestamp": "01/18/2023 14:13:37",
"content": "you did it correctly",
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"timestamp": "01/18/2023 14:14:24",
"content": "**Stephen**",
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"timestamp": "01/18/2023 14:14:31",
"content": "just solve from here?",
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"author_id": 260480836493639680,
"author_name": "Jakegog",
"timestamp": "01/18/2023 14:15:57",
"content": "0,04x^2 - 6,4x = 0",
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"id": 1065348916142411900,
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"timestamp": "01/18/2023 14:16:14",
"content": "yes",
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"author_name": "TeXit",
"timestamp": "01/18/2023 14:16:38",
"content": "**Stephen**",
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"author_id": 260480836493639680,
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"timestamp": "01/18/2023 14:16:46",
"content": "6,4",
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"id": 1065349050343375000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "01/18/2023 14:16:46",
"content": "what do u think u can do from here",
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},
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"id": 1065349070132093000,
"author_id": 260480836493639680,
"author_name": "Jakegog",
"timestamp": "01/18/2023 14:16:51",
"content": "oh ok",
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"id": 1065349220283994100,
"author_id": 260480836493639680,
"author_name": "Jakegog",
"timestamp": "01/18/2023 14:17:27",
"content": "divide everything by X",
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},
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"id": 1065349252999549000,
"author_id": 260480836493639680,
"author_name": "Jakegog",
"timestamp": "01/18/2023 14:17:35",
"content": "64/0,4",
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"id": 1065349279356571600,
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"author_name": "Jakegog",
"timestamp": "01/18/2023 14:17:41",
"content": "thx",
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},
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"id": 1065349287057309700,
"author_id": 260480836493639680,
"author_name": "Jakegog",
"timestamp": "01/18/2023 14:17:43",
"content": "❤️",
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},
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"id": 1065349310142758900,
"author_id": 260480836493639680,
"author_name": "Jakegog",
"timestamp": "01/18/2023 14:17:48",
"content": "that one was taking me a while",
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"id": 1065349688372515000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/18/2023 14:19:18",
"content": "**Stephen**",
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"id": 1065350046515724300,
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"author_name": "Jakegog",
"timestamp": "01/18/2023 14:20:44",
"content": ".close",
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},
{
"id": 1065350050076704800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 14:20:45",
"content": "Channel closed",
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] | help-9 | f417f0fe7dce4d99afd0b130bfdd138e |
200,852 | [
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"id": 1065350062588317800,
"author_id": 260480836493639680,
"author_name": "Jakegog",
"timestamp": "01/18/2023 14:20:48",
"content": ".reopen",
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},
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"id": 1065350070268072000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 14:20:49",
"content": "✅",
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{
"id": 1065350189830901900,
"author_id": 307914411648090100,
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"content": "huh",
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"id": 1065350210236207200,
"author_id": 307914411648090100,
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"timestamp": "01/18/2023 14:21:23",
"content": "u not done?",
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},
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"timestamp": "01/18/2023 14:35:50",
"content": "@Jakegog Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | 2493387ab82e4b61a4b6c2c7323d45bf |
200,853 | [
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 14:55:23",
"content": "Available help channel!",
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},
{
"id": 1065360069375578100,
"author_id": 618565356876988400,
"author_name": "JavaMan84",
"timestamp": "01/18/2023 15:00:33",
"content": "How can I find one of the solutions to x^3 - 6x^2 + 12x - 7 = 0? The answer is an integer solution when I checked on my calculator, but I am unsure how to find that answer",
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"timestamp": "01/18/2023 15:00:35",
"content": "Pinned a message.",
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"id": 1065360390705401900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/18/2023 15:01:50",
"content": "rational root theorem",
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"id": 1065360592505942000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/18/2023 15:02:38",
"content": "but I mean guessing 1 here is not too crazy either",
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"id": 1065361971408535800,
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"author_name": "JavaMan84",
"timestamp": "01/18/2023 15:08:07",
"content": "Yeah guessing and checking 1 would work, but I doubt it would be accepted for showing my work on a diploma",
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"id": 1065362207673700400,
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"timestamp": "01/18/2023 15:09:03",
"content": "that's why I said rational root theorem. it tells you which numbers to check",
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"timestamp": "01/18/2023 15:19:45",
"content": "Oh sorry I didnt read that, ill look it up thanks",
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"content": "@JavaMan84 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | c58d305db20c42f68dccf40cbac22be0 |
200,854 | [
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"content": "Available help channel!",
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"id": 1036140310641770500,
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"author_name": "Sonny",
"timestamp": "10/30/2022 00:51:40",
"content": "Did I get the answers and the process right to solving questions 83, 84, and 86?",
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"content": "Pinned a message.",
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"author_name": "idontsleepanymore",
"timestamp": "10/30/2022 00:54:33",
"content": "The answers are correct but i think you wrote extra, just say not an indeterminate form so direct sub allowed",
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"id": 1036142481345089700,
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"author_name": "Sonny",
"timestamp": "10/30/2022 01:00:18",
"content": "But the questions ask me to use limit laws?",
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"author_name": "idontsleepanymore",
"timestamp": "10/30/2022 01:04:25",
"content": "Oh if your teacher actually wants you to write down every step, then you should, but ive never had to do this 💀",
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"timestamp": "10/30/2022 01:15:18",
"content": "@Sonny Has your question been resolved?",
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] | help-9 | 87c261d4ff6e45a685eaa040f96a26c7 |
200,855 | [
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "01/18/2023 15:50:28",
"content": "idk how to visualize this",
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},
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"id": 1065372682729832400,
"author_id": 532266707335512060,
"author_name": "çaj çaj çaj",
"timestamp": "01/18/2023 15:50:41",
"content": "which vertices correspond to the coordinates given",
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"id": 1065372925902983200,
"author_id": 532266707335512060,
"author_name": "çaj çaj çaj",
"timestamp": "01/18/2023 15:51:39",
"content": "@Helpers",
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{
"id": 1065373456776036400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 15:53:45",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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"id": 1065376074072072200,
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"timestamp": "01/18/2023 16:04:09",
"content": "@Helpers",
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{
"id": 1065376527103041700,
"author_id": 972571910925877200,
"author_name": "Ismaël",
"timestamp": "01/18/2023 16:05:57",
"content": "STOP @ FOR NOTHING BRO, TRUST YOU, YOU ARE THE BEST OF YOU",
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{
"id": 1065376618018787500,
"author_id": 972571910925877200,
"author_name": "Ismaël",
"timestamp": "01/18/2023 16:06:19",
"content": "TEST, RETRY, TEST RETRY WITH INFINIT AND FOUND THE SOLUTION",
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"id": 1065376691893051500,
"author_id": 972571910925877200,
"author_name": "Ismaël",
"timestamp": "01/18/2023 16:06:37",
"content": "It's that the real things you need to do for maths",
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{
"id": 1065376769978400900,
"author_id": 1016371469229498400,
"author_name": "Heisenbug",
"timestamp": "01/18/2023 16:06:55",
"content": "Please don’t tag before 15 minutes have passed, and please show work.",
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"id": 1065376805357359100,
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"author_name": "Ismaël",
"timestamp": "01/18/2023 16:07:04",
"content": "And it's Why mathematics IS the best",
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"id": 1065377638505521200,
"author_id": 1060715408312778900,
"author_name": "Ansh2023",
"timestamp": "01/18/2023 16:10:22",
"content": "First find the distance between the last two points. Then, find the distance between one of the points and the vertex. Use Pythagorean Theorem to find the height of the triangle in 2d. Multiply it by four. Now, take the distance between the two points, and square it. Add both numbers. That is the answer.",
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"timestamp": "01/18/2023 16:12:09",
"content": "bro ik these steps but",
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"timestamp": "01/18/2023 16:12:14",
"content": "idk how to draw it",
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"id": 1065378193198035000,
"author_id": 532266707335512060,
"author_name": "çaj çaj çaj",
"timestamp": "01/18/2023 16:12:35",
"content": "which point belongs to which vertex",
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"id": 1065378370700980400,
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"author_name": "Ansh2023",
"timestamp": "01/18/2023 16:13:17",
"content": "There is only one vertex.",
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"id": 1065378422374793300,
"author_id": 1060715408312778900,
"author_name": "Ansh2023",
"timestamp": "01/18/2023 16:13:29",
"content": "The top of the pyramid.",
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{
"id": 1065379476604723200,
"author_id": 532266707335512060,
"author_name": "çaj çaj çaj",
"timestamp": "01/18/2023 16:17:41",
"content": "vertices*",
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{
"id": 1065379508976365700,
"author_id": 532266707335512060,
"author_name": "çaj çaj çaj",
"timestamp": "01/18/2023 16:17:48",
"content": "on the base of the pyramid",
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{
"id": 1065381126455185400,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/18/2023 16:24:14",
"content": "The pyramid is not clearly defined by the information. but that doesn't matter, since it is only about the surface.",
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"id": 1065381353773879400,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/18/2023 16:25:08",
"content": "you have the data for a triangle from the pyramid, that is all you need to calculate the surface.",
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},
{
"id": 1065382606398574700,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/18/2023 16:30:07",
"content": "you are asking for something completly irrelevant for the solution and at the same time you are ignoring useful hints in a very unfriedly way. it is a real pleasure to help you. sarcasm off.",
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"timestamp": "01/18/2023 16:35:07",
"content": "@çaj çaj çaj Has your question been resolved?",
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"timestamp": "01/18/2023 16:37:43",
"content": "Channel closed",
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] | help-9 | 67cc64a9acda423484fc4da44c6fdb7f |
200,856 | [
{
"id": 1065384772244865000,
"author_id": 805217272087838700,
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"timestamp": "01/18/2023 16:38:43",
"content": "Available help channel!",
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"timestamp": "01/18/2023 16:41:11",
"content": "Where is this 1.25 coming from?",
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"author_id": 729817934125334500,
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"timestamp": "01/18/2023 16:41:16",
"content": "I'm so confused.",
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},
{
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"author_id": 729817934125334500,
"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:41:24",
"content": "Shouldn't it be 2.5 since it's a rectangular segment?",
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"id": 1065385630349144000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/18/2023 16:42:08",
"content": "> walk down the **centre** of the path",
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"timestamp": "01/18/2023 16:42:43",
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"author_id": 729817934125334500,
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"timestamp": "01/18/2023 16:42:45",
"content": "What",
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},
{
"id": 1065385903817752600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/18/2023 16:43:13",
"content": "sure the width is 2.5",
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},
{
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"timestamp": "01/18/2023 16:43:23",
"content": "The outer radius",
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"id": 1065385953641893900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/18/2023 16:43:25",
"content": "but we want the radius up to the middle of the rectangle",
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"id": 1065385967478898800,
"author_id": 729817934125334500,
"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:43:28",
"content": "is what 1.25 is right",
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},
{
"id": 1065386068729401500,
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"author_name": "Toby",
"timestamp": "01/18/2023 16:43:52",
"content": "1.25 is correct",
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},
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"timestamp": "01/18/2023 16:44:14",
"content": "But how",
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},
{
"id": 1065386183955337300,
"author_id": 729817934125334500,
"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:44:20",
"content": "Is what im trying to figure out",
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},
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"id": 1065386546531938400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/18/2023 16:45:46",
"content": ",calc 2.5/2",
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},
{
"id": 1065386548247408800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/18/2023 16:45:47",
"content": "Result:\n```\n1.25\n```",
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"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/18/2023 16:45:47",
"content": "the qalk is 2.5 wide. but if you would walk along where would you walk? on the left side, on the ride side, oder maybe in the middle?",
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"timestamp": "01/18/2023 16:46:03",
"content": "why would it be half",
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"timestamp": "01/18/2023 16:46:06",
"content": "of the width",
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"id": 1065386647673385100,
"author_id": 729817934125334500,
"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:46:10",
"content": "why isn't it just 2.5",
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"timestamp": "01/18/2023 16:46:11",
"content": ".",
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{
"id": 1065386730078863400,
"author_id": 729817934125334500,
"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:46:30",
"content": "it still isnt clicking for me :mans_sad:",
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"author_name": "Toby",
"timestamp": "01/18/2023 16:46:36",
"content": "try drawing the path you would walk",
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"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:47:06",
"content": ":facepalm:",
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{
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"author_id": 729817934125334500,
"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:47:07",
"content": "OMG",
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},
{
"id": 1065386916717011100,
"author_id": 729817934125334500,
"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:47:14",
"content": "ITS HALF OF 2.5 BECAUSE 2.5 IS THE DIAMETER",
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},
{
"id": 1065386941786361900,
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"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:47:20",
"content": "AND THE RADIUS IS HALF OF THE DIAMTER",
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"timestamp": "01/18/2023 16:47:21",
"content": "BJDSOJFGMSDMGSF",
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},
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"id": 1065387044437758000,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/18/2023 16:47:45",
"content": "no it has nothing to do with the diameter.",
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{
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"author_id": 729817934125334500,
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"timestamp": "01/18/2023 16:48:24",
"content": "What",
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},
{
"id": 1065387505307877400,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/18/2023 16:49:35",
"content": "you have a inner radius from 5 ft, an outer radius from 4+ 2,5 ft. but you walk in the middle of the way.",
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"timestamp": "01/18/2023 16:49:47",
"content": "",
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"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:49:52",
"content": "Arent you walking like that",
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},
{
"id": 1065387585876263000,
"author_id": 729817934125334500,
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"timestamp": "01/18/2023 16:49:54",
"content": "Wait no",
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{
"id": 1065387632294637700,
"author_id": 729817934125334500,
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"timestamp": "01/18/2023 16:50:05",
"content": "How is the outer radius 4",
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{
"id": 1065387686585700400,
"author_id": 729817934125334500,
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"timestamp": "01/18/2023 16:50:18",
"content": "waiut",
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},
{
"id": 1065387695741870200,
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"timestamp": "01/18/2023 16:50:20",
"content": "i misread that",
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"timestamp": "01/18/2023 16:50:21",
"content": "sorry outer is 5+2,5",
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},
{
"id": 1065387838423699600,
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"timestamp": "01/18/2023 16:50:54",
"content": "but that's 7.5",
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},
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"id": 1065387912981651600,
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"timestamp": "01/18/2023 16:51:12",
"content": "That's what I originally thought",
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},
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"timestamp": "01/18/2023 16:51:14",
"content": "It was",
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},
{
"id": 1065387956598222800,
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"timestamp": "01/18/2023 16:51:22",
"content": "Eh it's fine",
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},
{
"id": 1065387974650511400,
"author_id": 729817934125334500,
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"timestamp": "01/18/2023 16:51:27",
"content": "I think I've got it",
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},
{
"id": 1065387994091098200,
"author_id": 729817934125334500,
"author_name": "Dwayne the Block Johnson",
"timestamp": "01/18/2023 16:51:31",
"content": "since radius = half diameter",
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},
{
"id": 1065388013393285200,
"author_id": 729817934125334500,
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"timestamp": "01/18/2023 16:51:36",
"content": ".close",
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},
{
"id": 1065388016379637800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 16:51:37",
"content": "Channel closed",
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}
] | help-9 | c5a70f7e91d246fea1d207a492edc546 |
200,857 | [
{
"id": 1065388270399271000,
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 16:52:37",
"content": "Available help channel!",
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},
{
"id": 1065388316691808400,
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"content": "Pinned a message.",
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"author_id": 578066990275493900,
"author_name": "PhooPhoo",
"timestamp": "01/18/2023 16:52:55",
"content": "please someone help me with this issue",
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},
{
"id": 1065389617399992400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/18/2023 16:57:58",
"content": "there's a physics server in #network",
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"id": 1065389741459112000,
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"content": "try drawing a force diagram",
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},
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"timestamp": "01/18/2023 17:07:56",
"content": "@PhooPhoo Has your question been resolved?",
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"timestamp": "01/18/2023 17:18:34",
"content": "thanks",
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},
{
"id": 1065394810334228500,
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"content": "Channel closed",
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}
] | help-9 | 4b369e30444743fcb4c8acef46f3a956 |
200,858 | [
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"content": "Available help channel!",
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},
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"id": 1065396228696850600,
"author_id": 277533539963240450,
"author_name": "Sorrow",
"timestamp": "01/18/2023 17:24:15",
"content": "Hi, can someone explain to me for 4(a), why it's sufficient to stop at the 3rd screenshot?",
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"content": "Pinned a message.",
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"timestamp": "01/18/2023 17:32:31",
"content": "see problem 3 ¯\\_(ツ)_/¯",
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"id": 1065398703902429200,
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"timestamp": "01/18/2023 17:34:05",
"content": "Oops forgot that was there",
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"id": 1065398766548549800,
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"id": 1065398796642693100,
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"author_name": "Sorrow",
"timestamp": "01/18/2023 17:34:27",
"content": "Problem 3 is basically rewriting sines and cosines",
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},
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"id": 1065398849172156400,
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"timestamp": "01/18/2023 17:34:39",
"content": "I feel like the answer is right in front of my nose but I'm just not connecting the dots",
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"timestamp": "01/18/2023 17:49:40",
"content": "@Sorrow Has your question been resolved?",
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"timestamp": "01/18/2023 18:04:40",
"content": "Channel closed",
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}
] | help-9 | ab4e2f4748e54113893e045b79e926ee |
200,859 | [
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},
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"content": "Pinned a message.",
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"timestamp": "01/18/2023 18:06:38",
"content": "can you solve this using both chain and product",
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"content": "You would have to use both at once",
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"content": "both at once?",
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"timestamp": "01/18/2023 18:07:11",
"content": "Mhm",
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"content": "huh",
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"author_name": "Mortta",
"timestamp": "01/18/2023 18:07:20",
"content": "So u = 2x^5 v = (5x+3)^3",
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"timestamp": "01/18/2023 18:07:24",
"content": "u' = 10x^4",
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"timestamp": "01/18/2023 18:07:37",
"content": "chain v for 5x+3 = w",
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"author_name": "Mortta",
"timestamp": "01/18/2023 18:07:46",
"content": "w^3 = 3w^2",
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"timestamp": "01/18/2023 18:08:00",
"content": "w' = 5",
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"id": 1065407379161747500,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "01/18/2023 18:08:33",
"content": "w?",
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"author_name": "Mortta",
"timestamp": "01/18/2023 18:08:40",
"content": "I had to create another variable",
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"timestamp": "01/18/2023 18:08:45",
"content": "oh",
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"author_name": "Mortta",
"timestamp": "01/18/2023 18:08:49",
"content": "all i did was sub 5x+3 as w",
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"author_name": "waterr beam",
"timestamp": "01/18/2023 18:09:19",
"content": "so is u' = 5?",
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"author_name": "Mortta",
"timestamp": "01/18/2023 18:09:22",
"content": "so now u' = 10x^4 and v'=15(x+3)^2",
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"author_name": "waterr beam",
"timestamp": "01/18/2023 18:09:23",
"content": "and v' = 3",
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"id": 1065407600574865500,
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"author_name": "waterr beam",
"timestamp": "01/18/2023 18:09:26",
"content": "oh",
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"id": 1065407660385652700,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "01/18/2023 18:09:40",
"content": "Its easier to see with the proof one sec",
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"author_name": "Mortta",
"timestamp": "01/18/2023 18:09:52",
"content": "your familia with like dy/dx",
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"timestamp": "01/18/2023 18:09:54",
"content": "?",
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"author_name": "waterr beam",
"timestamp": "01/18/2023 18:09:59",
"content": "yea",
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"timestamp": "01/18/2023 18:10:50",
"content": "You see that step in the middle",
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"timestamp": "01/18/2023 18:10:53",
"content": "thats what im doing",
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"timestamp": "01/18/2023 18:11:07",
"content": "but we have dw instead",
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"author_name": "waterr beam",
"timestamp": "01/18/2023 18:11:28",
"content": "does dy and dx not work in this equation",
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"timestamp": "01/18/2023 18:11:40",
"content": "It does. but we used diff variables from the start",
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"id": 1065408181351760000,
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"timestamp": "01/18/2023 18:11:44",
"content": "oh",
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"timestamp": "01/18/2023 18:11:58",
"content": "lets say",
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"timestamp": "01/18/2023 18:12:03",
"content": "y= (5x+3)^3",
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"id": 1065408284942667800,
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"author_name": "Mortta",
"timestamp": "01/18/2023 18:12:09",
"content": "than you could use x and y",
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"timestamp": "01/18/2023 18:12:11",
"content": "and u",
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"timestamp": "01/18/2023 18:13:58",
"content": "individually using chain rule is fine for me but combining product and chain is a little confusing",
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"timestamp": "01/18/2023 18:28:59",
"content": "@waterr beam Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | bef49d046c2543b28e1ce4f87f79da79 |
200,860 | [
{
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"content": "can someone explain how I do this please and thank you",
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"content": "do you know the equation for slope given two points?",
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"content": "y2-y1/x2-x1",
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"content": "so you know the slope and you know 3 of these points",
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"content": "set up an equation for r",
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"content": "i don't know if thats right-",
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"content": "oh wait...",
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"content": "hm",
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"timestamp": "01/18/2023 19:00:24",
"content": "this is right for the first half of the equation",
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"content": "use this",
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"timestamp": "01/18/2023 19:01:29",
"content": "Okay so",
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"timestamp": "01/18/2023 19:01:52",
"content": "Do I need to find the initial value then set up an equation of y=mx+B",
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"content": "using r?",
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"content": "no",
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"timestamp": "01/18/2023 19:06:55",
"content": "you know two pieces of information for slope. one is given and the other you found above in red",
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"timestamp": "01/18/2023 19:07:02",
"content": "set them equal to each other",
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"timestamp": "01/18/2023 19:13:28",
"content": "this is what i can't do.. how do i 'set them' to each other? :pandaOhNo:",
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"timestamp": "01/18/2023 19:14:11",
"content": "set them equal to each other means $-2 = slope = ...$",
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"timestamp": "01/18/2023 19:14:13",
"content": "**riemann**",
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"timestamp": "01/18/2023 19:14:25",
"content": "the ... is your expression for slope",
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"timestamp": "01/18/2023 19:14:37",
"content": "so the red is the ... ?",
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"timestamp": "01/18/2023 19:35:01",
"content": "@zane Has your question been resolved?",
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] | help-9 | 27730ee10800436989324bee8017bd40 |
200,861 | [
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"author_name": "Lex1729",
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"content": "can someone help me out with this problem",
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"content": "Do you know how to factor in general?",
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"content": "yes",
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"content": "You can apply that method",
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"timestamp": "01/18/2023 20:04:18",
"content": "Yeah, but I found all the factors of -20, but none of them added up to make -11.",
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"timestamp": "01/18/2023 20:04:39",
"content": "so Instead I did (42x )( 42x) / 42",
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"timestamp": "01/18/2023 20:04:59",
"content": "then multiplied -20 by 42 = -840",
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"content": "It's A times C, them find the factors of that, that add up to B",
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"timestamp": "01/18/2023 20:06:05",
"content": "But I am meant to find two numbers that multiply to produce -20 and add to produce -11, right?",
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"timestamp": "01/18/2023 20:07:11",
"content": "Okay, anyway, so I am now trying to find two numbers that multiply to produce -840 and add to produce -11.",
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"timestamp": "01/18/2023 20:08:35",
"content": "can anyone help me out with this?",
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"timestamp": "01/18/2023 20:09:31",
"content": "That basically means factor it",
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"timestamp": "01/18/2023 20:09:44",
"content": "> multiply to produce -840 and add to produce -11\nTbh I would look up the factors of -840",
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"timestamp": "01/18/2023 20:10:08",
"content": "Wait, Lex, do u know FOIL",
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"content": "yes",
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"content": "They aren't using FOIL",
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"content": "They are factoring",
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"timestamp": "01/18/2023 20:10:38",
"content": "Ikik",
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"timestamp": "01/18/2023 20:10:42",
"content": "So what you do",
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"content": "yeah I don't think I'm meant to use FOIL",
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"timestamp": "01/18/2023 20:10:44",
"content": "Is you work backwards",
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"timestamp": "01/18/2023 20:11:05",
"content": "Think about the factors of 42",
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"timestamp": "01/18/2023 20:11:15",
"content": "What comes to mind?",
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"content": "21",
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"timestamp": "01/18/2023 20:11:37",
"content": "and 2",
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"timestamp": "01/18/2023 20:11:38",
"content": "yes",
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"timestamp": "01/18/2023 20:11:43",
"content": "so",
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"timestamp": "01/18/2023 20:11:51",
"content": "usually most people dont say that but ok",
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"timestamp": "01/18/2023 20:11:58",
"content": "Think more commonly",
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"content": "(6,7)",
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"timestamp": "01/18/2023 20:12:05",
"content": "Didn't mean to intrude, sorry",
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"timestamp": "01/18/2023 20:12:07",
"content": "U can keep going",
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"timestamp": "01/18/2023 20:12:12",
"content": "Working backwards is a guess and check and takes longer",
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"content": "If you work on it, it usually doesnt take too long",
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"content": "Didn't mean to intrude tho, u can keep going",
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"content": "(3,14)",
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"timestamp": "01/18/2023 20:13:29",
"content": "oh that could add to produce 11",
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"content": "14-3",
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"timestamp": "01/18/2023 20:13:53",
"content": "@Deleted User",
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"timestamp": "01/18/2023 20:13:59",
"content": "ok",
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"timestamp": "01/18/2023 20:14:03",
"content": "So, 6 and 7",
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"timestamp": "01/18/2023 20:14:12",
"content": "Now we can form the beginning",
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"timestamp": "01/18/2023 20:14:23",
"content": "(6x+?)(7x+?)",
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"timestamp": "01/18/2023 20:14:30",
"content": "Sorry",
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"timestamp": "01/18/2023 20:14:36",
"content": "Bad way of lo",
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"timestamp": "01/18/2023 20:14:38",
"content": "That's just guessing",
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"timestamp": "01/18/2023 20:14:43",
"content": "(6x+a)(7x+b)",
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"timestamp": "01/18/2023 20:14:51",
"content": "a*b must = -20",
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"timestamp": "01/18/2023 20:14:59",
"content": "But it's fast bro",
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"timestamp": "01/18/2023 20:15:10",
"content": "Factoring out takes too long",
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"timestamp": "01/18/2023 20:15:27",
"content": "Why not (14x + ?)(3x + ?)?",
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"timestamp": "01/18/2023 20:15:32",
"content": "You can do that",
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"timestamp": "01/18/2023 20:15:41",
"content": "Just when it becomes wrong, then look for another factor",
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"timestamp": "01/18/2023 20:15:45",
"content": "You just can't straight up assume 6 and 7",
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"timestamp": "01/18/2023 20:15:54",
"content": "That's literally guessing and takes longer",
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"timestamp": "01/18/2023 20:15:54",
"content": "But 6 and 7 are a common factor",
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"timestamp": "01/18/2023 20:15:58",
"content": "Oh wait nvm",
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"timestamp": "01/18/2023 20:16:03",
"content": "I have graphe color synesthesia",
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"timestamp": "01/18/2023 20:16:06",
"content": "It's easier for me",
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"timestamp": "01/18/2023 20:16:12",
"content": "Nvm yeah its probs best to factor it out",
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"content": ".",
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"timestamp": "01/18/2023 20:16:35",
"content": "so I should just search up all the factors of 840?",
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"timestamp": "01/18/2023 20:16:48",
"content": "Results provided by WolframAlpha",
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"timestamp": "01/18/2023 20:16:56",
"content": "But u cant have wolfram alpha on a test?",
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"timestamp": "01/18/2023 20:17:04",
"content": "Cant u just factor them out then",
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"timestamp": "01/18/2023 20:17:36",
"content": "And they probably won't have a problem with this stupidly big of numbers",
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"content": "?",
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"timestamp": "01/18/2023 20:18:06",
"content": "Wait no thats what ur doing mb",
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"timestamp": "01/18/2023 20:18:12",
"content": "since that is 840",
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"timestamp": "01/18/2023 20:18:18",
"content": "42(20) is 840",
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"timestamp": "01/18/2023 20:18:22",
"content": "Sorry for interrupting",
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"timestamp": "01/18/2023 20:18:37",
"content": "Use this, find the factor pair that can add to -11",
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"timestamp": "01/18/2023 20:19:01",
"content": "yeah but I mean in a test what would I do...",
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"timestamp": "01/18/2023 20:19:01",
"content": "Wait but he cant look up factors of 840 during a quiz or sum",
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"timestamp": "01/18/2023 20:19:06",
"content": "yeah",
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"timestamp": "01/18/2023 20:19:07",
"content": "exactly",
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"timestamp": "01/18/2023 20:19:15",
"content": "just think about factors in your head",
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"content": "alright",
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"timestamp": "01/18/2023 20:19:24",
"content": "> And they probably won't have a problem with this stupidly big of numbers",
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"timestamp": "01/18/2023 20:19:26",
"content": "and just visualize it",
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"content": "I'll just write every single factor I can think of",
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"content": "I doubt you will have a problem with this big of numbers",
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"timestamp": "01/18/2023 20:20:30",
"content": "If it's a homework problem, most teachers will assign a really hard question to make the easy test questions seem easy",
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"timestamp": "01/18/2023 20:20:40",
"content": "So what's the answer?",
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"timestamp": "01/18/2023 20:20:47",
"content": "Mr. Lex",
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"timestamp": "01/18/2023 20:21:00",
"content": "well I'm still finding factors",
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"timestamp": "01/18/2023 20:21:19",
"content": "It's literally been 2 minutes, you can wait",
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"timestamp": "01/18/2023 20:21:54",
"content": "Idk if he should spend this long on a problem during a test",
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"author_name": "iCaird",
"timestamp": "01/18/2023 20:22:32",
"content": "good job theyre not in a test rn",
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"timestamp": "01/18/2023 20:22:42",
"content": "I think we should help him",
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"content": "And I think you should be patient",
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"timestamp": "01/18/2023 20:23:01",
"content": "Mb",
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"timestamp": "01/18/2023 20:23:28",
"content": ":bleakkekw:",
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"timestamp": "01/18/2023 20:23:44",
"content": "I didn't know discord had emojis",
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"timestamp": "01/18/2023 20:24:51",
"content": "damn there are so many",
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"timestamp": "01/18/2023 20:25:22",
"content": "Bro im telling you guess and check is so much easier",
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"timestamp": "01/18/2023 20:25:45",
"content": "wdym?",
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"timestamp": "01/18/2023 20:25:55",
"content": "It's another form of factoring",
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"author_name": "Lex1729",
"timestamp": "01/18/2023 20:26:10",
"content": "you mean working in reverse",
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"timestamp": "01/18/2023 20:26:18",
"content": "Yeah",
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"timestamp": "01/18/2023 20:26:35",
"content": "Remember",
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"timestamp": "01/18/2023 20:26:42",
"content": "First you found 7 and g",
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"timestamp": "01/18/2023 20:26:45",
"content": "So then you go",
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"timestamp": "01/18/2023 20:26:54",
"content": "At it takes longer",
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"timestamp": "01/18/2023 20:26:55",
"content": "(7x+a)(6x+b)",
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"timestamp": "01/18/2023 20:27:09",
"content": "Bro what",
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"timestamp": "01/18/2023 20:27:21",
"content": "Where a(b)=-20",
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"author_name": "Lex1729",
"timestamp": "01/18/2023 20:27:41",
"content": "so how about (7x + 5)(6x -4)",
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"timestamp": "01/18/2023 20:27:49",
"content": "Well",
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"timestamp": "01/18/2023 20:27:54",
"content": "Lets not forget O and I",
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"timestamp": "01/18/2023 20:27:56",
"content": "Outer and inner",
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"timestamp": "01/18/2023 20:28:05",
"content": "oh true",
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"timestamp": "01/18/2023 20:28:17",
"content": "So you just need to flip around and adjust the signs",
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"timestamp": "01/18/2023 20:28:36",
"content": "As I mentioned, you probably won't get a problem with this big of values so googling factors of 840 is fine for homework questions",
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"timestamp": "01/18/2023 20:28:40",
"content": "Oh wait dont adjust the signs",
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"timestamp": "01/18/2023 20:28:51",
"content": "He still has to go through every factor",
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"timestamp": "01/18/2023 20:29:32",
"content": ":catThin4K:",
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"timestamp": "01/18/2023 20:29:36",
"content": ":angerywoog:",
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"timestamp": "01/18/2023 20:29:43",
"content": ":devilish:",
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"timestamp": "01/18/2023 20:29:56",
"content": "So now, what's the answer Lex?",
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"timestamp": "01/18/2023 20:30:10",
"content": "I like this one lol :devilish:",
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"timestamp": "01/18/2023 20:30:40",
"content": "840 has like 32 factors, but 20 only has 6",
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"author_name": "dldh06",
"timestamp": "01/18/2023 20:31:31",
"content": "> googling factors of 840 is fine for homework questions",
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"author_name": "Lex1729",
"timestamp": "01/18/2023 20:32:15",
"content": "ok so factors of 20 are (10,2), (5,4), (20,1),",
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"timestamp": "01/18/2023 20:32:33",
"content": "Yeah",
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"timestamp": "01/18/2023 20:32:40",
"content": "Only 3 factor pairs on top of it",
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"timestamp": "01/18/2023 20:32:55",
"content": "So now we have (7x+a)(6x+b)",
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"timestamp": "01/18/2023 20:33:18",
"content": "Only 12 permutations",
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"timestamp": "01/18/2023 20:33:42",
"content": "Ok so we have (7x+a)(6x+b)",
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"timestamp": "01/18/2023 20:33:46",
"content": "Now we have factors of 20",
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"timestamp": "01/18/2023 20:33:52",
"content": "Lets start with 10, 2",
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"timestamp": "01/18/2023 20:33:59",
"content": "7*10=70",
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"timestamp": "01/18/2023 20:34:09",
"content": "Does not work, too high",
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"timestamp": "01/18/2023 20:34:19",
"content": "Since 2*6=18",
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"timestamp": "01/18/2023 20:34:27",
"content": "20 and 1",
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"timestamp": "01/18/2023 20:34:29",
"content": "Next we try 2*10=20",
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"timestamp": "01/18/2023 20:34:36",
"content": "7*6=42",
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"timestamp": "01/18/2023 20:34:40",
"content": "closer, but no",
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"timestamp": "01/18/2023 20:34:43",
"content": "ok",
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"timestamp": "01/18/2023 20:34:45",
"content": "20 and 1",
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"timestamp": "01/18/2023 20:34:51",
"content": "u give me the variations this time tho",
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"timestamp": "01/18/2023 20:35:18",
"content": "nvm",
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"content": "20*7=140, 1*6=6",
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"timestamp": "01/18/2023 20:35:36",
"content": "Why is my writing italics",
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"timestamp": "01/18/2023 20:35:38",
"content": "tf",
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"timestamp": "01/18/2023 20:35:40",
"content": "ok",
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"timestamp": "01/18/2023 20:36:02",
"content": "There is supposed to be multiplication",
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"timestamp": "01/18/2023 20:36:12",
"content": "20*7=140, 1*6=6",
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"timestamp": "01/18/2023 20:36:13",
"content": "I tried (7x + 20)(6x -1)",
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"timestamp": "01/18/2023 20:36:18",
"content": "unsuccessful",
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"timestamp": "01/18/2023 20:36:25",
"content": "u dont need to, just do the multiplication",
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"timestamp": "01/18/2023 20:36:34",
"content": "U know how to derive using FOIL/",
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"timestamp": "01/18/2023 20:36:35",
"content": "??",
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"id": 1065444639231967200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:36:36",
"content": "Nvm",
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"id": 1065444662317436900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:36:42",
"content": "so final is 4,5",
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"id": 1065444734044213400,
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"timestamp": "01/18/2023 20:36:59",
"content": "(7x+4)(6x-5) works",
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"id": 1065444746694238200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:37:02",
"content": "so that is your answer",
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"id": 1065444759163900000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:37:05",
"content": "Your beautiful answer",
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},
{
"id": 1065444819868057700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:37:20",
"content": "Now you know Lec",
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"id": 1065444820283306000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/18/2023 20:37:20",
"content": "alright thanks",
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"id": 1065444829091340300,
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"timestamp": "01/18/2023 20:37:22",
"content": "*lex",
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},
{
"id": 1065444834040619000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:37:23",
"content": "remember",
"attachments": [],
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},
{
"id": 1065444851891568600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:37:27",
"content": "look for deep connections",
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"id": 1065444862905831600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:37:30",
"content": "go deep in math",
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},
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"id": 1065444865007165400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/18/2023 20:37:30",
"content": "And that took 10 minutes",
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"author_name": "dldh06",
"timestamp": "01/18/2023 20:37:34",
"content": "For guessing",
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"id": 1065444883625672800,
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"author_name": "Deleted User",
"timestamp": "01/18/2023 20:37:35",
"content": "no it didnt man",
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"timestamp": "01/18/2023 20:37:45",
"content": "it took 10 minutes bc i had to teach him",
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"timestamp": "01/18/2023 20:38:00",
"content": ":bsully:",
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"id": 1065445032414425200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/18/2023 20:38:10",
"content": ".close",
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"id": 1065445035035869300,
"author_id": 805217272087838700,
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"timestamp": "01/18/2023 20:38:11",
"content": "Channel closed",
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}
] | help-9 | f2d46c3aac2a403296f995c6171be564 |
200,862 | [
{
"id": 1065445046196895700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2023 20:38:14",
"content": "yeyeyeyey",
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"content": "Available help channel!",
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},
{
"id": 1065446659888267300,
"author_id": 845778810930856000,
"author_name": "⭑⭑",
"timestamp": "01/18/2023 20:44:38",
"content": "does it matter which sign i use if i know how long all 3 sides are (trig)",
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"author_id": 845778810930856000,
"author_name": "⭑⭑",
"timestamp": "01/18/2023 20:44:47",
"content": "does it matter whether you use sin cos or tan here",
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},
{
"id": 1065446877023178800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/18/2023 20:45:30",
"content": "you can use any of them yes",
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},
{
"id": 1065447283795165300,
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"author_name": "⭑⭑",
"timestamp": "01/18/2023 20:47:07",
"content": "okay thank u, also im not sure if this is an error or not but why is there an A instead of a B since we're finding the length of side B not A (cos A)",
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"author_name": "⭑⭑",
"timestamp": "01/18/2023 20:48:38",
"content": "is it bec A is the starting point",
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"id": 1065447760633012200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/18/2023 20:49:01",
"content": "because b = adj from the perspective of angle A",
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"id": 1065448171079221200,
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"author_name": "⭑⭑",
"timestamp": "01/18/2023 20:50:39",
"content": "so in this case would we be using the letter that we used in our calculations everytime we would encounter a question like this",
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"id": 1065448558091829200,
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"author_name": "iCaird",
"timestamp": "01/18/2023 20:52:11",
"content": "you shouldnt get too hung up on the letters",
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"id": 1065448582213288100,
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"author_name": "iCaird",
"timestamp": "01/18/2023 20:52:17",
"content": "you can call them whatever you want really",
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{
"id": 1065449411720777900,
"author_id": 845778810930856000,
"author_name": "⭑⭑",
"timestamp": "01/18/2023 20:55:34",
"content": "kk",
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},
{
"id": 1065450162660593700,
"author_id": 845778810930856000,
"author_name": "⭑⭑",
"timestamp": "01/18/2023 20:58:33",
"content": "for this can u do either a or b A considering u would use cos or B u would use sin",
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"author_name": "iCaird",
"timestamp": "01/18/2023 21:00:09",
"content": "well with the standard labelling the side you're finding will always be called a",
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"timestamp": "01/18/2023 21:00:12",
"content": "because its opposite A",
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"author_name": "iCaird",
"timestamp": "01/18/2023 21:00:31",
"content": "but yes you can have an equation either involving a and A or a and B",
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"id": 1065451845033664600,
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"author_name": "⭑⭑",
"timestamp": "01/18/2023 21:05:14",
"content": "in other words u meant that im still bound to find the other angle anyway from subtractive 180-90-the angle = the other angle right",
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"author_name": "iCaird",
"timestamp": "01/18/2023 21:06:22",
"content": "Right yes you need to find one of those angles to then find a",
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"id": 1065452153918988400,
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"author_name": "iCaird",
"timestamp": "01/18/2023 21:06:28",
"content": "But either works",
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},
{
"id": 1065453476961845400,
"author_id": 845778810930856000,
"author_name": "⭑⭑",
"timestamp": "01/18/2023 21:11:44",
"content": "kk",
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},
{
"id": 1065453581630718000,
"author_id": 845778810930856000,
"author_name": "⭑⭑",
"timestamp": "01/18/2023 21:12:09",
"content": "are there two diff ways to finding out a side length",
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"author_name": "⭑⭑",
"timestamp": "01/18/2023 21:12:37",
"content": "cause the Pythagorean theorem was used and then the other one on the right side",
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"timestamp": "01/18/2023 21:27:37",
"content": "@⭑⭑ Has your question been resolved?",
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"timestamp": "01/18/2023 22:00:35",
"content": "@⭑⭑ Has your question been resolved?",
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"timestamp": "01/18/2023 22:01:38",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 678492bcad074ba19de6c0df39d8f9d2 |
200,863 | [
{
"id": 1065468995190411300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 22:13:23",
"content": "Available help channel!",
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},
{
"id": 1065476207677820900,
"author_id": 1028110369727709200,
"author_name": "pout",
"timestamp": "01/18/2023 22:42:03",
"content": "I’m confused on finding the equation for this graph",
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"id": 1065476210194391000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 22:42:04",
"content": "Pinned a message.",
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{
"id": 1065478461751300100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/18/2023 22:51:00",
"content": "!show",
"attachments": [],
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},
{
"id": 1065478462585970700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 22:51:01",
"content": "Show your work, and if possible, explain where you are stuck.",
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},
{
"id": 1065478934101242000,
"author_id": 1028110369727709200,
"author_name": "pout",
"timestamp": "01/18/2023 22:52:53",
"content": "Stuck everywhere idk what I’m doing",
"attachments": [],
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"reference": null
},
{
"id": 1065478961888493700,
"author_id": 1028110369727709200,
"author_name": "pout",
"timestamp": "01/18/2023 22:53:00",
"content": "I don’t even know the equation",
"attachments": [],
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"reference": null
},
{
"id": 1065479713281286100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/18/2023 22:55:59",
"content": "Do you have a textbook or notes",
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"id": 1065480268191895600,
"author_id": 1028110369727709200,
"author_name": "pout",
"timestamp": "01/18/2023 22:58:11",
"content": "No",
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},
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"id": 1065484044277653500,
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 23:13:11",
"content": "@pout Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 23:28:12",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | e9cd947a1688480aaaaa9f4eb4166b6b |
200,864 | [
{
"id": 1065494501608657000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 23:54:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065495029658951700,
"author_id": 891163237469548500,
"author_name": "zqxceq",
"timestamp": "01/18/2023 23:56:51",
"content": "Hello! I’m having trouble figuring out how to do this problem :))",
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"id": 1065495033417048200,
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2023 23:56:51",
"content": "Pinned a message.",
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},
{
"id": 1065495472967536800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/18/2023 23:58:36",
"content": "Do you know what `g o h` means?",
"attachments": [],
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"reference": null
},
{
"id": 1065495528374272000,
"author_id": 891163237469548500,
"author_name": "zqxceq",
"timestamp": "01/18/2023 23:58:49",
"content": "I dont",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065495800592994300,
"author_id": 196447219484852220,
"author_name": "NotABot",
"timestamp": "01/18/2023 23:59:54",
"content": "It's the symbol for function composition",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065495863004233700,
"author_id": 196447219484852220,
"author_name": "NotABot",
"timestamp": "01/19/2023 00:00:09",
"content": "`(g o h)(x) = g(h(x))`",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065495966129602600,
"author_id": 891163237469548500,
"author_name": "zqxceq",
"timestamp": "01/19/2023 00:00:34",
"content": "Ohh I see!",
"attachments": [],
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"reference": null
},
{
"id": 1065496131716534400,
"author_id": 196447219484852220,
"author_name": "NotABot",
"timestamp": "01/19/2023 00:01:13",
"content": "Great! New notation is always screwy 😛",
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"reference": null
},
{
"id": 1065496229661913200,
"author_id": 891163237469548500,
"author_name": "zqxceq",
"timestamp": "01/19/2023 00:01:37",
"content": "Hah yeah I agree! Thanks for the help!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065496249945567200,
"author_id": 196447219484852220,
"author_name": "NotABot",
"timestamp": "01/19/2023 00:01:41",
"content": "np np",
"attachments": [],
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"reference": null
},
{
"id": 1065496267691667600,
"author_id": 891163237469548500,
"author_name": "zqxceq",
"timestamp": "01/19/2023 00:01:46",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1065496270598328400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/19/2023 00:01:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 6a6062a512b243b9837324a971772299 |
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