#help-23 | Mathematics | Page 33

solar bramble Oct 30, 2022, 12:19 AM

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well

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yeah

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but where would i use that identity in this problem?

safe radishBOT Oct 30, 2022, 12:50 AM

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@solar bramble Has your question been resolved?

long copper Oct 30, 2022, 1:26 AM

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you should start by splitting the fraction and then: $$\frac{\sec x - \tan x}{\sin x} = \frac{\sec x}{\sin x} - \frac{\tan x}{\sin x}$$
You can do that because of the common denominator (just reversing what you do if you wanted to subtract 2 fractions with different denominators)

flat frigateBOT Oct 30, 2022, 1:26 AM

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I can't believe you've done this

long copper Oct 30, 2022, 1:26 AM

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@solar bramble

solar bramble Oct 30, 2022, 1:28 AM

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That actually makes sense bruh

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I'll solve when I'm home

long copper Oct 30, 2022, 1:29 AM

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yeah from there it's using the 2 identities since tanx/sin x is 1/cos x and sin x is the sqrt of 1 - cos^2 x

hazy sentinel Oct 30, 2022, 2:08 AM

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genius

safe radishBOT Oct 30, 2022, 2:28 AM

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@solar bramble Has your question been resolved?

safe radishBOT Oct 30, 2022, 3:28 AM

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safe radishBOT Oct 30, 2022, 4:08 AM

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strong basin Oct 30, 2022, 6:15 AM

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Can someone help me with this? i can see here that the circumfrence is 2piR where 2pi is the measure of the full revolution in radians but i can't see how to write it for thetaR using propotions.

safe radishBOT Oct 30, 2022, 6:15 AM

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strong basin Can someone help me with this? i can see here that the circumfrence is 2piR wher...

strong basin Oct 30, 2022, 6:16 AM

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2piR/R = 2pi the angle of full revolution
so thetaR must give the length of the angle theta of revolution

marsh walrus Oct 30, 2022, 6:19 AM

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i mean it seems like youre mostly there

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i think the proportion theyre looking for is like

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some ratio between the arc length and circumference is equal to your central angle and its ratio to the entire circle (2pi)

marsh walrus Oct 30, 2022, 6:20 AM

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strong basin 2piR/R = 2pi the angle of full revolution so thetaR must give the length of the...

.

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or that'd be my guess

safe radishBOT Oct 30, 2022, 6:31 AM

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@strong basin Has your question been resolved?

marsh walrus Oct 30, 2022, 6:33 AM

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what bearlain

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you just said no solve

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but dont reply or anything

strong basin Oct 30, 2022, 6:36 AM

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marsh walrus but dont reply or anything

sorry about that

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i was writing a more proper solution taking into account what you said

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so

marsh walrus Oct 30, 2022, 6:36 AM

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ah, word

strong basin Oct 30, 2022, 6:38 AM

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length of the 2piR (circumference)/angle of 2pi (full revolution)= 2piR/2pi = R
length revolution of angle theta/angle theta = thetaR/Theta = R

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i think is this about right no?

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i am just gonna go ahead an close this so that is becomes accessible to others i think we are pretty much done

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.close

safe radishBOT Oct 30, 2022, 6:41 AM

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Channel closed

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marsh walrus Oct 30, 2022, 6:41 AM

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there are infinitely many channels

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but it sounds llike you are there happy

strong basin Oct 30, 2022, 6:41 AM

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hype

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thanks bro

safe radishBOT Oct 30, 2022, 6:51 AM

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prime cobalt Oct 30, 2022, 7:06 AM

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Hi

safe radishBOT Oct 30, 2022, 7:06 AM

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prime cobalt Hi

prime cobalt Oct 30, 2022, 7:06 AM

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For a graph y=a^(kx), how would it look like if both a and k were <0

thick sparrow Oct 30, 2022, 7:08 AM

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Exponent of negative number will extend the graph to the complex domain I think(?) So you will not be able to easily graph it on paper.

prime cobalt Oct 30, 2022, 7:08 AM

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wait

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so both a and k can’t be negative

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but only one or the other can be?

thick sparrow Oct 30, 2022, 7:13 AM

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Just think of a particular example maybe.

Consider $(-1)^{-0.5}$, so you are already taking square root on negative number, which means if they are both negative, the function value will be complex number at many (if not all) points.

flat frigateBOT Oct 30, 2022, 7:13 AM

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jimmy1234

thick sparrow Oct 30, 2022, 7:14 AM

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prime cobalt but only one or the other can be?

As for this, you can perform similar analysis, i.e. try a few small examples and find some patterns to see how it goes

safe radishBOT Oct 30, 2022, 7:23 AM

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@prime cobalt Has your question been resolved?

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prime cobalt Oct 30, 2022, 7:25 AM

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thick sparrow As for this, you can perform similar analysis, i.e. try a few small examples and...

I see!! Thank you 🙂

safe radishBOT Oct 30, 2022, 9:45 AM

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prime cobalt Oct 30, 2022, 10:10 AM

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hi

safe radishBOT Oct 30, 2022, 10:10 AM

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prime cobalt hi

prime cobalt Oct 30, 2022, 10:10 AM

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is this true?

obsidian oracle Oct 30, 2022, 10:12 AM

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Is 2x+1 always positive ?

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Because your second inequality is only true when both quantities are positive.

prime cobalt Oct 30, 2022, 10:13 AM

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ah yes

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so if it’s not guaranteed that both sides are positive

prime cobalt Oct 30, 2022, 10:13 AM

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obsidian oracle Because your second inequality is only true when both quantities are positive.

u can’t square them and say that the inequality still holds right

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Thank you for the help! 🙂

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.close

safe radishBOT Oct 30, 2022, 10:23 AM

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lean otter Oct 30, 2022, 10:30 AM

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I don't understand this question 😭

safe radishBOT Oct 30, 2022, 10:30 AM

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lean otter I don't understand this question 😭

obsidian oracle Oct 30, 2022, 10:31 AM

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You consider a function f who takes input x in [-1,4]

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So f(x) is defined for x in [-1,4]

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So the questions are respectively :
a) f(-x) is defined for x in ?

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b) f(x-2)... etc

lean otter Oct 30, 2022, 10:38 AM

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what do I do? Do I plug those numbers in the functions?

obsidian oracle Oct 30, 2022, 10:39 AM

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The trick is that whatever you put in f(...), the "..." has to be in the domain of f, that is [-1,4]

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So f(flower) is defined for "flower" in [-1,4]

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So f(-x) is defined for... ||-x in [-1,4]||

lean otter Oct 30, 2022, 10:40 AM

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-1? I'm confused

obsidian oracle Oct 30, 2022, 10:41 AM

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obsidian oracle So f(-x) is defined for... ||-x in [-1,4]||

If you're confused just unspoiler this

lean otter Oct 30, 2022, 10:44 AM

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I'm still confused...

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Is -1 incorrect for 5a

obsidian oracle Oct 30, 2022, 10:51 AM

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-1 is a single value, do you think that this is possible, considering that f(x) takes in infinite values ?

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Remember, f(expression) is defined for "expression" in the domain of f

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whatever that expression is

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So f(-x) is defined for -x in the domain of f

safe radishBOT Oct 30, 2022, 10:59 AM

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@lean otter Has your question been resolved?

safe radishBOT Oct 30, 2022, 11:30 AM

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@lean otter Has your question been resolved?

safe radishBOT Oct 30, 2022, 12:00 PM

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safe radishBOT Oct 30, 2022, 1:25 PM

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latent summit Oct 30, 2022, 1:30 PM

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did I solve 10 b correctly?

safe radishBOT Oct 30, 2022, 1:30 PM

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latent summit did I solve 10 b correctly?

latent summit Oct 30, 2022, 1:31 PM

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I had to find the domain

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of the function

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I got that x is from minus infinity to 5

lean otter Oct 30, 2022, 1:34 PM

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latent summit I got that x is from minus infinity to 5

yep

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you are right

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you just have to find the intersection of the domain between those functions

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which you did correctly

latent summit Oct 30, 2022, 1:35 PM

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lean otter yep

thanks

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.close

safe radishBOT Oct 30, 2022, 1:35 PM

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vestal kestrel Oct 30, 2022, 1:51 PM

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safe radishBOT Oct 30, 2022, 1:51 PM

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vestal kestrel

vestal kestrel Oct 30, 2022, 1:51 PM

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Hello there ive been stuck on this question.As of now this is my only idea that i have been able to come with

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how do i proceed?

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<@&286206848099549185>

placid dock Oct 30, 2022, 2:08 PM

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consider x^2 - kx - 1 = k if x^2 - kx - 1 >= 0 and -x^2 + kx + 1 = k if -x^2 + kx + 1 < 0

glass carbon Oct 30, 2022, 2:09 PM

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and start from k>=0 because for k < 0 it has no sense

safe radishBOT Oct 30, 2022, 2:15 PM

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@vestal kestrel Has your question been resolved?

vestal kestrel Oct 30, 2022, 2:29 PM

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im unclear about the explaination

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<@&286206848099549185>

safe radishBOT Oct 30, 2022, 3:03 PM

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@vestal kestrel Has your question been resolved?

placid dock Oct 30, 2022, 3:10 PM

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vestal kestrel im unclear about the explaination

i will try to make an explanation tomorrow morning probably

vestal kestrel Oct 30, 2022, 3:18 PM

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okay sure thing 😄

safe radishBOT Oct 30, 2022, 3:18 PM

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vestal kestrel Oct 30, 2022, 3:18 PM

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.reopen

safe radishBOT Oct 30, 2022, 3:18 PM

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✅

safe radishBOT Oct 30, 2022, 3:48 PM

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@vestal kestrel Has your question been resolved?

safe radishBOT Oct 30, 2022, 4:18 PM

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topaz glacier Oct 30, 2022, 4:21 PM

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hello is the answer 43 degrees?
Looking for x

safe radishBOT Oct 30, 2022, 4:21 PM

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topaz glacier hello is the answer 43 degrees? Looking for x

topaz glacier Oct 30, 2022, 4:21 PM

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i took 180-40-46 = 94

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180 - 94= 86

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86/2 = 43

sonic spruce Oct 30, 2022, 4:23 PM

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That’s seems correct to me

topaz glacier Oct 30, 2022, 4:24 PM

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thank you

safe radishBOT Oct 30, 2022, 4:39 PM

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@topaz glacier Has your question been resolved?

safe radishBOT Oct 30, 2022, 4:54 PM

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halcyon carbon Oct 30, 2022, 4:57 PM

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catclap

obtuse jackal Oct 30, 2022, 4:58 PM

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e^x and x ln a

halcyon carbon Oct 30, 2022, 4:58 PM

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e^x is f(x) and g(x) is xlna

obtuse jackal Oct 30, 2022, 4:59 PM

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For the chain rule yes

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This is exp(ln a * x)

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It's just kx

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For k = ln a

safe radishBOT Oct 30, 2022, 5:02 PM

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full citrus Oct 30, 2022, 5:13 PM

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i'm trying to find the exponential form of $(1-\sqrt(3)) - i(1 + \sqrt(3))$

safe radishBOT Oct 30, 2022, 5:13 PM

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full citrus i'm trying to find the exponential form of $(1-\sqrt(3)) - i(1 + \sqrt(3))$

full citrus Oct 30, 2022, 5:13 PM

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texit can you work plz x)

upbeat swan Oct 30, 2022, 5:13 PM

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$(1-\sqrt(3)) - i(1 + \sqrt(3))$

split ether Oct 30, 2022, 5:13 PM

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It's dead

upbeat swan Oct 30, 2022, 5:14 PM

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lol

full citrus Oct 30, 2022, 5:14 PM

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ok then ->

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so i found that |z| = 2sqrt(2)

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i'm trying to find the angle now

split ether Oct 30, 2022, 5:16 PM

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Well you have sin(arg(z)) = -(1 + sqrt3)/2sqrt2 and cos(arg(z)) = (1 - sqrt3)/2sqrt2

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I'd try dividing the equations and taking arctan

full citrus Oct 30, 2022, 5:16 PM

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full citrus Oct 30, 2022, 5:17 PM

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split ether I'd try dividing the equations and taking arctan

hum

split ether Oct 30, 2022, 5:18 PM

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After dividing you'll find the value of tan(arg(z))

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So arg(z) will be arctan of that value

full citrus Oct 30, 2022, 5:19 PM

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the value is 1 - sqrt(3) / 1 + sqrt(3)

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there's no way to find the arctan of that

split ether Oct 30, 2022, 5:20 PM

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Well just write arctan(whatever it is)

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There might be some way though

split ether Oct 30, 2022, 5:20 PM

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full citrus the value is 1 - sqrt(3) / 1 + sqrt(3)

Btw it's - that

full citrus Oct 30, 2022, 5:20 PM

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ye well seen

devout terrace Oct 30, 2022, 5:20 PM

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a+bi=r(cosø+isinø)

safe radishBOT Oct 30, 2022, 5:35 PM

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@full citrus Has your question been resolved?

safe radishBOT Oct 30, 2022, 5:50 PM

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idle forum Oct 30, 2022, 5:53 PM

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safe radishBOT Oct 30, 2022, 5:53 PM

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idle forum

idle forum Oct 30, 2022, 5:53 PM

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safe radishBOT Oct 30, 2022, 6:08 PM

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@idle forum Has your question been resolved?

safe radishBOT Oct 30, 2022, 6:38 PM

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@idle forum Has your question been resolved?

safe radishBOT Oct 30, 2022, 7:38 PM

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@idle forum Has your question been resolved?

safe radishBOT Oct 30, 2022, 8:38 PM

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lean thorn Oct 30, 2022, 8:40 PM

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Does anyone have insight on how to prove this? I tried contradiction but it went nowhere.

safe radishBOT Oct 30, 2022, 8:40 PM

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lean thorn Does anyone have insight on how to prove this? I tried contradiction but it went...

lean thorn Oct 30, 2022, 8:40 PM

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someone helped me yesterday but I think I was still lost while talking to them

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a friend of mine said

n = 1+1+ ...+ 1 (n times)
-m = -1 + -1 + ... -1 (m times)

But I'm not sure how how that helps

lean otter Oct 30, 2022, 8:43 PM

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f(n)=nf(1)

arctic locust Oct 30, 2022, 8:43 PM

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And f(1) =1

lean thorn Oct 30, 2022, 8:44 PM

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I guess I'm not seeing it. That shows that f(x) = x is a group homomorphism (at least for plus), but how does that show that f(x) = x and f(x) = 0 are the only homomorphisms?

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the only is what is throwing me off

lean otter Oct 30, 2022, 8:46 PM

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if f was a hom, then f(n) must be nf(1). So it remains to find out what f(1) can be

arctic locust Oct 30, 2022, 8:47 PM

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It must send the neutral of Z to the neutral of Z

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The multiplicative neutral

lean thorn Oct 30, 2022, 8:49 PM

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arctic locust The multiplicative neutral

how does that work for the zero function then. Wouldn't that map f(1) = 0?

lean otter Oct 30, 2022, 8:50 PM

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I think thats fine

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I assume the zero ring is a ring for you too

arctic locust Oct 30, 2022, 8:50 PM

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Yes I'm confused

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I just looked at the definition

lean otter Oct 30, 2022, 8:50 PM

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homomorphisms dont need to be onto

arctic locust Oct 30, 2022, 8:50 PM

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It must send 1 to 1

lean otter Oct 30, 2022, 8:50 PM

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0 is the 1 of the zero ring

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f(1)=f(1*1)=f(1)*f(1)

lean thorn Oct 30, 2022, 8:51 PM

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lean otter 0 is the 1 of the zero ring

and that works since 0 ring is a subset of Z?

lean otter Oct 30, 2022, 8:51 PM

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yes

lean otter Oct 30, 2022, 8:51 PM

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lean otter `f(1)=f(1*1)=f(1)*f(1)`

then solve the quadratic in f(1)

lean thorn Oct 30, 2022, 8:53 PM

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lean otter then solve the quadratic in f(1)

so yeah that makes sense. f(1) = 1, so then f(1 * 1) = f(1) = 1. And f(1) * f(1) = 1*1 = 1. Then for the addition part of the homomorphism, then f(1 + 1) = f(2) = 2 and f(1) + f(1) = 1 + 1 = 2

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...I think

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I guess I'm just not seeing that those are the only ones. :(. All I see is that the zero and identity function are ring homomorphism for Z to Z, but not that they're the only ones

lean otter Oct 30, 2022, 8:55 PM

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f hom => f(1)=f(1)*f(1) => f(1)=1 or f(1)=0 => id or zero

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if you aren't convinced, suppose f(1)=n not idempotent, then n=f(1)=f(1)*f(1)=n^2 contradicts idempotency

lean thorn Oct 30, 2022, 8:56 PM

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idempotent

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sorry what does that mean?

lean otter Oct 30, 2022, 8:57 PM

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its equal to it's square

lean thorn Oct 30, 2022, 8:57 PM

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okay thanks

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I'll chew on this some more

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thank you for the help

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.close

safe radishBOT Oct 30, 2022, 8:59 PM

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lean otter Oct 30, 2022, 9:09 PM

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safe radishBOT Oct 30, 2022, 9:09 PM

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lean otter

lean otter Oct 30, 2022, 9:09 PM

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need help

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to find x

flat frigateBOT Oct 30, 2022, 9:10 PM

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lean otter Oct 30, 2022, 9:11 PM

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find y and z first

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y = 45

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z = 60

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so x is 75 ?

flat frigateBOT Oct 30, 2022, 9:13 PM

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The following error occured while calculating:
Error: Undefined function arccos

lean otter Oct 30, 2022, 9:14 PM

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;-;

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yes, thats correct

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can u help me one more

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sure

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i think x = 67.5

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find a, then b, then c, then d

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,calc (180-(180-45))/2+45

flat frigateBOT Oct 30, 2022, 9:17 PM

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Result:

67.5

lean otter Oct 30, 2022, 9:17 PM

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lean otter i think x = 67.5

yes

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yay

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ty

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yw :D

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.close

safe radishBOT Oct 30, 2022, 9:19 PM

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fluid hare Oct 30, 2022, 9:21 PM

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safe radishBOT Oct 30, 2022, 9:21 PM

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fluid hare

fluid hare Oct 30, 2022, 9:21 PM

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It’s kinda hard to read

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But where are they getting the -108sin(-14) from

grizzled fossil Oct 30, 2022, 9:23 PM

#

Impossible to read

#

Take a screenshot

fluid hare Oct 30, 2022, 9:24 PM

#

One sec

#

#

Idk if that’s any better 😂

#

If you’re in a phone you can zoom and read it

grizzled fossil Oct 30, 2022, 9:28 PM

#

A screenshot

#

Google how to take a screenshot on … if you don’t know how

fluid hare Oct 30, 2022, 9:32 PM

#

There is that readable

#

#

This is a different question but I still don’t know how they’re getting the final +144

#

.close

safe radishBOT Oct 30, 2022, 9:34 PM

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runic rampart Oct 30, 2022, 9:37 PM

#

safe radishBOT Oct 30, 2022, 9:37 PM

#

runic rampart

runic rampart Oct 30, 2022, 9:37 PM

#

why is it n-1 and not n?

#

Does that mean when n=4 for example, you do ar^0+ar^1+ar^2+ar^3?

safe radishBOT Oct 30, 2022, 9:53 PM

#

@runic rampart Has your question been resolved?

runic rampart Oct 30, 2022, 10:00 PM

#

<@&286206848099549185>

neat kiln Oct 30, 2022, 10:10 PM

#

Because the first term is just a which means it has to be a * r^0 (anything ^0 = 1)

runic rampart Oct 30, 2022, 10:21 PM

#

.close

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thin vine Oct 30, 2022, 10:41 PM

#

Hi, how do i the asymptote of this graph?

safe radishBOT Oct 30, 2022, 10:41 PM

#

thin vine Hi, how do i the asymptote of this graph?

thin vine Oct 30, 2022, 10:41 PM

#

#

also, about D, can I have some hint pls ?

safe radishBOT Oct 30, 2022, 10:57 PM

#

@thin vine Has your question been resolved?

safe radishBOT Oct 30, 2022, 11:38 PM

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@thin vine Has your question been resolved?

thin vine Oct 31, 2022, 12:34 AM

#

<@&286206848099549185>

safe radishBOT Oct 31, 2022, 1:34 AM

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@thin vine Has your question been resolved?

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lean otter Oct 31, 2022, 4:22 AM

#

Suppose that your salary in 2013 was $55000. For 2014, you negotiate an increase
of 5%. What is the actual increase in salary if you include inflation? Express the increase
in both absolute and relative terms.

safe radishBOT Oct 31, 2022, 4:22 AM

#

lean otter Suppose that your salary in 2013 was $55000. For 2014, you negotiate an increase...

lean otter Oct 31, 2022, 4:25 AM

#

for this question i did this and i dont think its correct:

i first calculated the inflation rate with CPI values:
125.2 for 2014
122.8 for 2013

125.2/122.8
1.0195
1.9%

after that i calculated how much 55000 in 2013 would be in 2014
55000 x 125.2/122.8 = 56,074.91857

then i took 5% of that total and added it as the 5% increase
5% = 58911.1645

#

<@&286206848099549185>

safe radishBOT Oct 31, 2022, 4:55 AM

#

@lean otter Has your question been resolved?

safe radishBOT Oct 31, 2022, 5:25 AM

#

@lean otter Has your question been resolved?

safe radishBOT Oct 31, 2022, 6:33 AM

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@lean otter Has your question been resolved?

lean otter Oct 31, 2022, 6:37 AM

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.close

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wind jasper Oct 31, 2022, 6:43 AM

#

I don't understand this problem because I'm not sure if the y-int is viable or not

safe radishBOT Oct 31, 2022, 6:43 AM

#

wind jasper I don't understand this problem because I'm not sure if the y-int is viable or n...

wind jasper Oct 31, 2022, 6:45 AM

#

help

raw tusk Oct 31, 2022, 6:47 AM

#

well i mean you can't have a negative amount of people coming to the beach

safe radishBOT Oct 31, 2022, 7:00 AM

#

@wind jasper Has your question been resolved?

wind jasper Oct 31, 2022, 7:00 AM

#

Is the y intercept the ppl or temperature

safe radishBOT Oct 31, 2022, 7:30 AM

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@wind jasper Has your question been resolved?

bitter aspen Oct 31, 2022, 7:54 AM

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safe radishBOT Oct 31, 2022, 8:00 AM

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distant marten Oct 31, 2022, 8:21 AM

#

Was just doing some past papers

safe radishBOT Oct 31, 2022, 8:21 AM

#

distant marten Was just doing some past papers

distant marten Oct 31, 2022, 8:21 AM

#

#

how do u do this again?

marsh shale Oct 31, 2022, 8:23 AM

#

you know three edges of the triangle right?

distant marten Oct 31, 2022, 8:23 AM

#

yeah

#

10, 8 and 8

marsh shale Oct 31, 2022, 8:24 AM

#

ok

#

and AOB has two same edges

distant marten Oct 31, 2022, 8:24 AM

#

yeah

marsh shale Oct 31, 2022, 8:24 AM

#

so, what happens if you draw a perpendicular line from O to AB

distant marten Oct 31, 2022, 8:24 AM

#

OOOOO

#

aight bro thanks

#

.close

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#

trim swan Oct 31, 2022, 8:37 AM

#

On the left, $\frac{d}{dx}x = 1$

flat frigateBOT Oct 31, 2022, 8:37 AM

#

tatpoj

trim swan Oct 31, 2022, 8:38 AM

#

And on the right, you need to use the chain rule.

#

$\frac{d}{dx}f(y) = f'(y) \frac{dy}{dx}$

flat frigateBOT Oct 31, 2022, 8:38 AM

#

tatpoj

safe radishBOT Oct 31, 2022, 8:39 AM

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strong basin Oct 31, 2022, 11:15 AM

#

can anyone confirm if the area of this triangle is approx 200 (199.6..)

safe radishBOT Oct 31, 2022, 11:15 AM

#

strong basin can anyone confirm if the area of this triangle is approx 200 (199.6..)

white hollow Oct 31, 2022, 11:16 AM

#

not quite

#

you forgot to divide by 2

strong basin Oct 31, 2022, 11:16 AM

#

ahh yes

#

i kept feeling it was wrong

white hollow Oct 31, 2022, 11:16 AM

#

what formula did u use

strong basin Oct 31, 2022, 11:16 AM

#

so 99.80 about a hunderd then

white hollow Oct 31, 2022, 11:16 AM

#

ye

strong basin Oct 31, 2022, 11:16 AM

#

1/2absin(k)

white hollow Oct 31, 2022, 11:16 AM

#

👍

strong basin Oct 31, 2022, 11:16 AM

#

😅

#

thanks a lot

#

.close

safe radishBOT Oct 31, 2022, 11:17 AM

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safe radishBOT Oct 31, 2022, 12:31 PM

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twin lantern Oct 31, 2022, 12:33 PM

#

I just have a sudden memory loss but what does f(x) do again

safe radishBOT Oct 31, 2022, 12:33 PM

#

twin lantern I just have a sudden memory loss but what does f(x) do again

quasi bison Oct 31, 2022, 12:34 PM

#

nothing, until you tell us what f and x are

twin lantern Oct 31, 2022, 12:37 PM

#

quasi bison nothing, until you tell us what f and x are

so like f(4)=3x+7

quasi bison Oct 31, 2022, 12:37 PM

#

did you mean f(x) = 3x + 7?

twin lantern Oct 31, 2022, 12:38 PM

#

well yeah

#

im just rlly confused rn

quasi bison Oct 31, 2022, 12:38 PM

#

do you have the problem exactly as it was given to you?

twin lantern Oct 31, 2022, 12:39 PM

#

no but it was just a brief discussion and i didnt get a single thing

obsidian kestrel Oct 31, 2022, 12:39 PM

#

they give you the x value just sub it in c:

twin lantern Oct 31, 2022, 12:40 PM

#

oh so its like same as how you do y=mx+b(?)

obsidian kestrel Oct 31, 2022, 12:41 PM

#

twin lantern oh so its like same as how you do y=mx+b(?)

that isnt directed at me is it 0.0

quasi bison Oct 31, 2022, 12:44 PM

#

twin lantern no but it was just a brief discussion and i didnt get a single thing

it sounds like you are misremembering the wording of the problem

#

and that's what confusing you

#

maybe it was "Given f(x) = 3x+7, calculate f(4)" which is more transparent in what you need to do

twin lantern Oct 31, 2022, 12:48 PM

#

.close

safe radishBOT Oct 31, 2022, 12:48 PM

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white swallow Oct 31, 2022, 12:58 PM

#

Since z is analytic everywhere here how can i do it?

safe radishBOT Oct 31, 2022, 12:58 PM

#

white swallow Since z is analytic everywhere here how can i do it?

#

@white swallow Has your question been resolved?

white swallow Oct 31, 2022, 1:14 PM

#

<@&286206848099549185>

safe radishBOT Oct 31, 2022, 1:44 PM

#

@white swallow Has your question been resolved?

white swallow Oct 31, 2022, 1:50 PM

#

.close

safe radishBOT Oct 31, 2022, 1:50 PM

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bitter mesa Oct 31, 2022, 2:23 PM

#

bum bum

safe radishBOT Oct 31, 2022, 2:23 PM

#

bitter mesa bum bum

bitter mesa Oct 31, 2022, 2:23 PM

#

2 homeless couples, Matcha and Lilnas, were arrested for trespassing private property. Matcha and Lilnas now needs to find a lawyer. Lawyer 1 charges a $200 fee plus $2 dollars per minute. Lawyer 2 charges a $800 fee plus $0 dollars per minute. Lawyer 3 charges a $400 fee plus $1.5 dollars per minute. The Judge has set a minimum of 1 hour inside the courtroom with your Lawyer. Which lawyer would be the cheapest option? Which Lawyer would be the most expensive option?

#

which method should i use? substitution, elimination or graphically?

safe radishBOT Oct 31, 2022, 2:39 PM

#

@bitter mesa Has your question been resolved?

quasi bison Oct 31, 2022, 2:43 PM

#

wow. what a grim setup.

quasi bison Oct 31, 2022, 2:43 PM

#

bitter mesa which method should i use? substitution, elimination or graphically?

in the absence of explicit instructions, use whichever method you want

bitter mesa Oct 31, 2022, 2:43 PM

#

ok

#

.close

safe radishBOT Oct 31, 2022, 2:43 PM

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frigid nebula Oct 31, 2022, 2:46 PM

#

help me please

safe radishBOT Oct 31, 2022, 2:46 PM

#

frigid nebula help me please

frigid trout Oct 31, 2022, 2:57 PM

#

frigid nebula help me please

do you know the squeeze theorem ?

frigid nebula Oct 31, 2022, 2:57 PM

#

so so @frigid trout

frigid trout Oct 31, 2022, 2:57 PM

#

frigid nebula so so <@294136651804835840>

you should first read your lesson and learn that then

frigid nebula Oct 31, 2022, 2:58 PM

#

i said 1>=cosx1/x^3>=-1

frigid trout Oct 31, 2022, 2:59 PM

#

that's a good start

#

so you agree that |sin(x)|>=sin(x)cos(1/x^3)>=-|sin(x)| right ?

safe radishBOT Oct 31, 2022, 3:13 PM

#

@frigid nebula Has your question been resolved?

frigid nebula Oct 31, 2022, 3:13 PM

#

@frigid trout why

frigid trout Oct 31, 2022, 3:14 PM

#

frigid nebula <@294136651804835840> why

just multiplicate the inequality you fond over cos(1/x^3) by sin(x)

frigid nebula Oct 31, 2022, 3:14 PM

#

why we take it out 1 and minus 1

#

im confused

safe radishBOT Oct 31, 2022, 3:28 PM

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crisp plaza Oct 31, 2022, 3:43 PM

#

safe radishBOT Oct 31, 2022, 3:43 PM

#

crisp plaza

crisp plaza Oct 31, 2022, 3:43 PM

#

how?

winged flare Oct 31, 2022, 3:48 PM

#

formula for simple interest is pnr/100

#

the interest is the amount - principal = 32062.50 - 30000 = 2062.50

#

2062.50 = pnr/100
206250 = pnr

#

hopefully this would give you enough thought process to finish this question

crisp plaza Oct 31, 2022, 3:56 PM

#

slr

#

this is what I got...

#

is it correct?

#

done...

#

thanks man

winged flare Oct 31, 2022, 4:10 PM

#

u should get 2.75 rt?

crisp plaza Oct 31, 2022, 4:11 PM

#

yes...

#

why is interest -> amount - principal?

#

is it another way of getting the interest?

safe radishBOT Oct 31, 2022, 4:26 PM

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zealous shuttle Oct 31, 2022, 4:28 PM

#

safe radishBOT Oct 31, 2022, 4:28 PM

#

zealous shuttle

zealous shuttle Oct 31, 2022, 4:29 PM

#

I have an hour to answer this question

lean otter Oct 31, 2022, 4:29 PM

#

Would u mind answering my question and I will try answering yours? (Idk if it will be right though)

zealous shuttle Oct 31, 2022, 4:29 PM

#

I don't have much time sry

lean otter Oct 31, 2022, 4:30 PM

#

It’s easy I just don’t know why bec I’m stupid

crisp plaza Oct 31, 2022, 4:30 PM

#

lean otter Would u mind answering my question and I will try answering yours? (Idk if it wi...

what's your question?

zealous shuttle Oct 31, 2022, 4:32 PM

#

I answered it already

lean otter Oct 31, 2022, 4:32 PM

#

zealous shuttle I answered it already

Oh wait let me see and Tysm

#

I’m trying to answer yours wait

zealous shuttle Oct 31, 2022, 4:37 PM

#

@ helpers

safe radishBOT Oct 31, 2022, 4:52 PM

#

@zealous shuttle Has your question been resolved?

zealous shuttle Oct 31, 2022, 4:53 PM

#

<@&286206848099549185>

#

<@&286206848099549185>

safe radishBOT Oct 31, 2022, 5:23 PM

#

@zealous shuttle Has your question been resolved?

hallow egret Oct 31, 2022, 5:31 PM

#

zealous shuttle

My answer is 0.6175

#

I just multiplied both the probability of 1st scenario and 2nd scenario

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#

safe radishBOT Oct 31, 2022, 6:10 PM

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@lean otter Has your question been resolved?

safe radishBOT Oct 31, 2022, 6:43 PM

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@lean otter Has your question been resolved?

safe radishBOT Oct 31, 2022, 7:45 PM

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@lean otter Has your question been resolved?

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subtle valve Oct 31, 2022, 8:28 PM

#

Hi I'm in 7th grade and I need help understanding trigonometry

safe radishBOT Oct 31, 2022, 8:28 PM

#

subtle valve Hi I'm in 7th grade and I need help understanding trigonometry

frozen forge Oct 31, 2022, 8:28 PM

#

yep

#

what don't u understand

subtle valve Oct 31, 2022, 8:29 PM

#

cos and sin

frozen forge Oct 31, 2022, 8:30 PM

#

#

cos(x) is the x_axis part and sin(x) the y axis part

subtle valve Oct 31, 2022, 8:31 PM

#

oh

#

ok

frozen forge Oct 31, 2022, 8:31 PM

#

oh maybe you didn't do that in class

#

Did you do it only with right triangles ?

subtle valve Oct 31, 2022, 8:32 PM

#

bro trig is high school level im trying to get an understanding of trig as a 7th grader

frozen forge Oct 31, 2022, 8:32 PM

#

yes ok

#

sry i'm french I'm not used to grades and stuff

subtle valve Oct 31, 2022, 8:33 PM

#

its alr

frozen forge Oct 31, 2022, 8:34 PM

#

i'll not be able to explain to u sry for that

subtle valve Oct 31, 2022, 8:34 PM

#

its alr thx for trying tho

frozen forge Oct 31, 2022, 8:34 PM

#

because of my english

subtle valve Oct 31, 2022, 8:35 PM

#

.close

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upper willow Oct 31, 2022, 8:48 PM

#

.reopen

safe radishBOT Oct 31, 2022, 8:49 PM

#

true estuary Oct 31, 2022, 8:50 PM

#

am i doing it correctly?

#

and what would the prob. of F be?

safe radishBOT Oct 31, 2022, 9:05 PM

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@true estuary Has your question been resolved?

true estuary Oct 31, 2022, 9:21 PM

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.close

safe radishBOT Oct 31, 2022, 9:21 PM

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craggy trout Oct 31, 2022, 9:26 PM

#

safe radishBOT Oct 31, 2022, 9:26 PM

#

craggy trout

craggy trout Oct 31, 2022, 9:27 PM

#

So I'm looking for an angle between (-pi/2 , pi/2) where tan = 0?

#

I think the only two angle that meet that would be pi/2 or -pi/2

#

But that doesn't seem to be right

safe radishBOT Oct 31, 2022, 9:43 PM

#

@craggy trout Has your question been resolved?

safe radishBOT Oct 31, 2022, 9:58 PM

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naive umbra Oct 31, 2022, 10:00 PM

#

Hi

safe radishBOT Oct 31, 2022, 10:00 PM

#

naive umbra Hi

naive umbra Oct 31, 2022, 10:01 PM

#

(bn) is a geometric sequence with b1=-3 ,q=-2 , Is -96 a term of this sequence?

#

Pls help

plucky elk Oct 31, 2022, 10:11 PM

#

naive umbra (bn) is a geometric sequence with b1=-3 ,q=-2 , Is -96 a term of this sequence?

what are b1 and q

#

b1 the first term?

#

or 2nd?

naive umbra Oct 31, 2022, 10:13 PM

#

plucky elk what are b1 and q

B1 is first term

plucky elk Oct 31, 2022, 10:13 PM

#

naive umbra B1 is first term

and q?

naive umbra Oct 31, 2022, 10:14 PM

#

and q is common ratio

plucky elk Oct 31, 2022, 10:14 PM

#

do you know the general term?

naive umbra Oct 31, 2022, 10:15 PM

#

bn=b1 * q^n-1

plucky elk Oct 31, 2022, 10:19 PM

#

looks right.

#

did you plug in 3 and -2?

#

and then -96 for bn to solve for n?

naive umbra Oct 31, 2022, 10:20 PM

#

ik the answer is no but when i try to solve it i get n=6

#

n=6 means its a term of sequence so i dont know what im doing wrong

plucky elk Oct 31, 2022, 10:22 PM

#

did you plug in n=6 to check your answer?

plucky elk Oct 31, 2022, 10:22 PM

#

naive umbra bn=b1 * q^n-1

plug in 6 here

naive umbra Oct 31, 2022, 10:25 PM

#

plucky elk plug in 6 here

i get positive 96

#

plucky elk Oct 31, 2022, 10:25 PM

#

,calc (-3) * (-2)^(6-1)

flat frigateBOT Oct 31, 2022, 10:25 PM

#

Result:

plucky elk Oct 31, 2022, 10:26 PM

#

naive umbra i get positive 96

looks right

naive umbra Oct 31, 2022, 10:26 PM

#

ok ty

#

.solvw

#

.solve

#

.close

safe radishBOT Oct 31, 2022, 10:26 PM

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stray palm Oct 31, 2022, 10:33 PM

#

safe radishBOT Oct 31, 2022, 10:33 PM

#

stray palm

stray palm Oct 31, 2022, 10:33 PM

#

what is this trying to say

#

i dont understand what this question wants me to do or say

plucky elk Oct 31, 2022, 10:36 PM

#

look at the conclusion of the ratio test

stray palm Oct 31, 2022, 10:37 PM

#

oh i see

#

so a is divergent, b is absolutely convergent, and we cant say anything about c?

#

.close

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wary wave Oct 31, 2022, 10:44 PM

#

A box contains 6 coach bolts and 4 hex bolts. Two bolts are drawn at random one after the other without replacement. Draw a tree diagram and then use this to find the following probabilities. Give your answers as exact fractions.

safe radishBOT Oct 31, 2022, 10:44 PM

#

wary wave A box contains 6 coach bolts and 4 hex bolts. Two bolts are drawn at random one ...

wary wave Oct 31, 2022, 10:44 PM

#

What is the probability that you draw out no more than one coach bolt?

#

so if there is a 6/10 chance for a coach bolt

#

and a 4/10 chance of getting a hex bolt

#

then if on the first pull u get a coach bolt

#

its a 6/10

#

and then u want a hex bolt

#

which is a 4/9

#

no?

safe radishBOT Oct 31, 2022, 11:00 PM

#

@wary wave Has your question been resolved?

safe radishBOT Oct 31, 2022, 11:30 PM

#

@wary wave Has your question been resolved?

wary wave Oct 31, 2022, 11:41 PM

#

#

could someone please help with this 🙂

safe radishBOT Nov 1, 2022, 12:41 AM

#

@wary wave Has your question been resolved?

tulip hearth Nov 1, 2022, 1:07 AM

#

I'm not sure if I know this but I'll give it a go: we can say there were 10000 cases so it is easier to do the math. So there are 4% defective cases that is 400 and of those 400 - 300 were detected positive and 100 were falsely detected to be good. 9600 cases weren't defective and of those, 960 were detected defective and 8540 were correctly detected. If microchip was good: that are the ones falsely detected as good and the ones correctly detected as non-defective: 8540+100. And that is what goes into our denominator of probability formula. So the end expression would look like: 100/8640 because that is the number of the 'fake' good ones and total number of good ones.

#

Drawing a tree helps calculating this

#

So the result for a) should be 10/864

#

If that is correct then hopefully you can figure the logic out I will go to sleep now, if not then I'm probably wrong

safe radishBOT Nov 1, 2022, 1:41 AM

#

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lean otter Nov 1, 2022, 1:45 AM

#

how they converted it ................ that underlined part?

safe radishBOT Nov 1, 2022, 1:45 AM

#

lean otter how they converted it ................ that underlined part?

stray socket Nov 1, 2022, 1:49 AM

#

What is f(1-sqrt3)

lean otter Nov 1, 2022, 1:51 AM

#

u want question?

#

#

@stray socket

stray socket Nov 1, 2022, 1:52 AM

#

Well yeah I know but

#

Look at the outputs of f(x)

#

Is 1-sqrt3 rational or irrational

lean otter Nov 1, 2022, 1:52 AM

#

rational

#

so i don't have to figuare out the value if it is rational the answer is -1

#

is that how it works?

#

@stray socket

stray socket Nov 1, 2022, 1:55 AM

#

It's not rational and don't ping me every 2 seconds

#

Why would it be rational if there's a sqrt(3)

lean otter Nov 1, 2022, 1:55 AM

#

sry

stray socket Nov 1, 2022, 1:55 AM

#

Is sqrt(3) a number that can be represented as a terminating decimal? No. So 1-sqrt(3) is irrational

#

That means that f(1-sqrt(3)) is 1

#

So f(f(1-sqrt(3))) is f(1)

#

But like that's also easy because is 1 rational or irrational

lean otter Nov 1, 2022, 1:57 AM

#

k

stray socket Nov 1, 2022, 1:57 AM

#

stray socket But like that's also easy because is 1 rational or irrational

_ _

#

Is 1 irrational or rational

lean otter Nov 1, 2022, 1:57 AM

#

rational

stray socket Nov 1, 2022, 1:59 AM

#

So what is f(1)

lean otter Nov 1, 2022, 2:00 AM

#

stray socket So what is f(1)

-1

stray socket Nov 1, 2022, 2:02 AM

#

Yeah

#

Therefore f(f(1-sqrt(3))) = -1

lean otter Nov 1, 2022, 2:04 AM

#

k

#

thx

#

.close

safe radishBOT Nov 1, 2022, 2:08 AM

#

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lean otter Nov 1, 2022, 2:09 AM

#

which is the value i should consider taking here for x?

safe radishBOT Nov 1, 2022, 2:09 AM

#

lean otter which is the value i should consider taking here for x?

lean otter Nov 1, 2022, 2:12 AM

#

that x in g(x) after '+x' is modulus right?

stray socket Nov 1, 2022, 2:12 AM

#

Absolute value

lean otter Nov 1, 2022, 2:13 AM

#

what is that

#

isn't that the same?

#

the answer is this

#

but if i take a -ve integer i am getting -ve value

#

or is there anything saying i have to take +ve integer?

#

<@&286206848099549185>

warm stirrup Nov 1, 2022, 2:21 AM

#

lean otter isn't that the same?

yes

#

modulus is bri'ish i think

warm stirrup Nov 1, 2022, 2:21 AM

#

lean otter that x in g(x) after '+x' is modulus right?

I think it isn't

#

that notation is usually used for floor(x)

stray socket Nov 1, 2022, 2:23 AM

#

Who the fuck calls it modulus that sounds like modulo

#

What kind of British juju is that

#

I swear the British 💀

lean otter Nov 1, 2022, 2:26 AM

#

warm stirrup I think it isn't

then what about the qn?

#

how do i slve it

warm stirrup Nov 1, 2022, 2:26 AM

#

lean otter then what about the qn?

question is probably asking for 1+x-floor(x)

lean otter Nov 1, 2022, 2:27 AM

#

but if i take -ve there wouldn't that ans be also -ve?

warm stirrup Nov 1, 2022, 2:27 AM

#

negative of what

lean otter Nov 1, 2022, 2:29 AM

#

i mean g(-2)=1-2-2=-3

warm stirrup Nov 1, 2022, 2:29 AM

#

-floor(-2)=2

#

not -2

lean otter Nov 1, 2022, 2:33 AM

#

k

#

.close

safe radishBOT Nov 1, 2022, 2:33 AM

#

Channel closed

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surreal spade Nov 1, 2022, 2:37 AM

#

safe radishBOT Nov 1, 2022, 2:37 AM

#

surreal spade

surreal spade Nov 1, 2022, 2:37 AM

#

how would you do this quefstoin

#

I used u substitition

#

jbut I didn't get any of the answers

#

?

stray socket Nov 1, 2022, 2:45 AM

#

Well you have a quadratic

#

Set u = cos(2x)

surreal spade Nov 1, 2022, 2:46 AM

#

yes

#

i got

fickle osprey Nov 1, 2022, 2:46 AM

#

problem is
the answers are not in usual range

surreal spade Nov 1, 2022, 2:46 AM

#

(2u - 1)(u + 1)

stray socket Nov 1, 2022, 2:47 AM

#

I mean

#

The answers are between 0 and 2Pi

fickle osprey Nov 1, 2022, 2:47 AM

#

so technically 3pi/2 works
since pi/2 Is the anserr

stray socket Nov 1, 2022, 2:47 AM

#

surreal spade (2u - 1)(u + 1)

So u = 1/2 and -1

surreal spade Nov 1, 2022, 2:47 AM

#

fickle osprey so technically 3pi/2 works since pi/2 Is the anserr

but

stray socket Nov 1, 2022, 2:47 AM

#

Plug those values back into u

surreal spade Nov 1, 2022, 2:47 AM

#

you need to

#

use 2x

stray socket Nov 1, 2022, 2:48 AM

#

$$\frac{1}{2} = \cos(2x)$$
$$-1 = \cos(2x)$$

surreal spade Nov 1, 2022, 2:48 AM

#

cosv = pi /3, 5pi/3, and pi

flat frigateBOT Nov 1, 2022, 2:48 AM

#

Umbraleviathan

stray socket Nov 1, 2022, 2:48 AM

#

You can solve for x

surreal spade Nov 1, 2022, 2:48 AM

#

x = pi/6, 5pi/6

#

and pi/2

fickle osprey Nov 1, 2022, 2:49 AM

#

yeah
since the domain is not mentioned.
you can plug infinite values.

#

so go by options

stray socket Nov 1, 2022, 2:50 AM

#

Mmhm

surreal spade Nov 1, 2022, 2:50 AM

#

so

#

we

#

check

#

what values

#

are coternimal with

#

whatever x is equal to

stray socket Nov 1, 2022, 2:50 AM

#

Also recall that cos(x) = cos(-x)

#

So you have to choose answers coterminal to -x

fickle osprey Nov 1, 2022, 2:51 AM

#

only one option has pi/6
and it's in 4th quadrant.

and other answer is odd multiple of pi/2
3pi/2 is also an answer

surreal spade Nov 1, 2022, 2:51 AM

#

stray socket Also recall that cos(x) = cos(-x)

wait what does this mean

stray socket Nov 1, 2022, 2:52 AM

#

stray socket So you have to choose answers coterminal to -x

_ _

surreal spade Nov 1, 2022, 2:52 AM

#

isn't that wrong though

#

like

stray socket Nov 1, 2022, 2:52 AM

#

Not really

surreal spade Nov 1, 2022, 2:52 AM

#

cos pi/3

#

is that the same

#

as

#

cos -pi / 3

stray socket Nov 1, 2022, 2:52 AM

#

When you take the cosine of them, yeah

surreal spade Nov 1, 2022, 2:52 AM

#

1/2 or 1/2

#

oh

#

nvm

stray socket Nov 1, 2022, 2:52 AM

#

,w Plot cos(x)

flat frigateBOT Nov 1, 2022, 2:52 AM

#

Results provided by WolframAlpha

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Upgrade to WolframAlpha Pro!

stray socket Nov 1, 2022, 2:53 AM

#

,w plot cos(-x)

flat frigateBOT Nov 1, 2022, 2:53 AM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

stray socket Nov 1, 2022, 2:53 AM

#

Same thing

surreal spade Nov 1, 2022, 2:53 AM

#

ok ok

#

thanks

#

so far

#

3pi/2 is one answer

#

11pi / 6 should be another answer

#

so would it just be I and IV

stray socket Nov 1, 2022, 2:55 AM

#

Let's check

#

,w NSolve[{2(Cos[2x])^2 + Cos[2x] - 1 == 0, 0 <= x <= 2Pi}, x]

#

Okay well what a loser

#

Watch it break

#

Yeah idk what its doing

flat frigateBOT Nov 1, 2022, 2:57 AM

#

Results provided by WolframAlpha

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stray socket Nov 1, 2022, 2:57 AM

#

Oh okay

#

There you go

#

@surreal spade you can check now

surreal spade Nov 1, 2022, 3:06 AM

#

Ok thanks

#

.close

safe radishBOT Nov 1, 2022, 3:06 AM

#

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sonic sapphire Nov 1, 2022, 3:07 AM

#

safe radishBOT Nov 1, 2022, 3:07 AM

#

sonic sapphire

sonic sapphire Nov 1, 2022, 3:08 AM

#

wondering if I did this right

#

I guess how would I check

#

#

oh lorty

#

I did somethin wrong

#

I think

#

I don't get the same answer as wolfram

#

sheit

safe radishBOT Nov 1, 2022, 3:38 AM

#

@sonic sapphire Has your question been resolved?

safe radishBOT Nov 1, 2022, 3:53 AM

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safe radishBOT Nov 1, 2022, 4:42 AM

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• After 15 minutes, feel free to ping <@&286206848099549185>.
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misty marsh Nov 1, 2022, 5:00 AM

#

Disregard the stuff I crossed out

safe radishBOT Nov 1, 2022, 5:00 AM

#

misty marsh Disregard the stuff I crossed out

misty marsh Nov 1, 2022, 5:00 AM

#

Why is my work wrong

#

<@&286206848099549185>

cloud fjord Nov 1, 2022, 5:23 AM

#

misty marsh <@&286206848099549185>

Wouldn't it be easier with equations

#

Like

#

Sum up the middle and bottom one

#

And then separately triplicate the middle one and substract it from the top one

#

So you have a systme of equations for x and y

#

You solve it and then you get z

misty marsh Nov 1, 2022, 5:27 AM

#

I did

#

Can u figure out what specifically made my solution set wrong? Symbolab gives completely different answer

misty marsh Nov 1, 2022, 5:30 AM

#

cloud fjord Wouldn't it be easier with equations

My math class requires matrixes

#

<@&286206848099549185>

cloud fjord Nov 1, 2022, 5:34 AM

#

Oh.. then I'm done thonkg

#

I'm too much of a mortal yet

misty marsh Nov 1, 2022, 5:34 AM

#

What’s s mortal

#

Lol

cloud fjord Nov 1, 2022, 5:34 AM

#

Huh?

misty marsh Nov 1, 2022, 5:34 AM

#

U type in s mortal but u edited it to a mortal

cloud fjord Nov 1, 2022, 5:35 AM

#

Yeah

#

My bad

misty marsh Nov 1, 2022, 5:35 AM

#

Oh it’s ok

#

Do I have to start a new post

#

For my question

cloud fjord Nov 1, 2022, 5:35 AM

#

I don't think so

misty marsh Nov 1, 2022, 5:35 AM

#

Ok

cloud fjord Nov 1, 2022, 5:36 AM

#

You pinged twice so there must be somebody

misty marsh Nov 1, 2022, 5:36 AM

#

👍 thanks for trying to help me

cloud fjord Nov 1, 2022, 5:36 AM

#

Np

misty marsh Nov 1, 2022, 5:36 AM

#

cloud fjord You pinged twice so there must be somebody

Sorry should I only ping once?

cloud fjord Nov 1, 2022, 5:41 AM

#

misty marsh Sorry should I only ping once?

Hmmm it's common to see multiple pings in a certain period of time if nobody shows up

#

So i suppose you can ping more than once

#

Certainly, after waiting for a while

safe radishBOT Nov 1, 2022, 5:51 AM

#

@misty marsh Has your question been resolved?

misty marsh Nov 1, 2022, 5:54 AM

#

misty marsh Why is my work wrong

<@&286206848099549185>

misty marsh Nov 1, 2022, 6:16 AM

#

<@&286206848099549185>

plucky elk Nov 1, 2022, 6:17 AM

#

misty marsh <@&286206848099549185>

It's really hard to read your work

#

Can you clean it up and re-send

misty marsh Nov 1, 2022, 6:18 AM

#

Sorry I forgot to mention just disregard the stuff that is crossed out

#

#

<@&286206848099549185>

misty marsh Nov 1, 2022, 6:45 AM

#

<@&286206848099549185> hopefully u understand my work now

#

The stuff that crossed out is supposed to be disregarded

misty marsh Nov 1, 2022, 7:03 AM

#

<@&286206848099549185>

misty marsh Nov 1, 2022, 7:29 AM

#

Hello

safe radishBOT Nov 1, 2022, 7:59 AM

#

@misty marsh Has your question been resolved?

safe radishBOT Nov 1, 2022, 8:29 AM

#

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• Be polite and have a nice day!

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neon island Nov 1, 2022, 8:58 AM

#

safe radishBOT Nov 1, 2022, 8:58 AM

#

neon island

neon island Nov 1, 2022, 8:58 AM

#

Just need to know if the answer is correct

#

Please

haughty flower Nov 1, 2022, 8:59 AM

#

there can be no fix value to this answer

#

its based on your assumption

marsh shale Nov 1, 2022, 9:00 AM

#

#1 is correct

graceful sorrel Nov 1, 2022, 9:01 AM

#

neon island

how do you even go about solving this

marsh shale Nov 1, 2022, 9:02 AM

#

gravity acceleration

haughty flower Nov 1, 2022, 9:02 AM

#

we take the displace 0

graceful sorrel Nov 1, 2022, 9:02 AM

#

no like

haughty flower Nov 1, 2022, 9:02 AM

#

and gravity is about 1/2 g right?

graceful sorrel Nov 1, 2022, 9:02 AM

#

is it 9.8 X 0.10?

thin narwhal Nov 1, 2022, 9:02 AM

#

graceful sorrel is it 9.8 X 0.10?

but wouldnt that me 0.98?

#

thats nowhere on the choices

graceful sorrel Nov 1, 2022, 9:02 AM

#

thin narwhal but wouldnt that me 0.98?

ye thats why im confused

#

also there has not been value given

#

like idk

graceful sorrel Nov 1, 2022, 9:03 AM

#

neon island

hmmmm

thin narwhal Nov 1, 2022, 9:03 AM

#

human reaction time: 0.10s+
gravity: 9.8m/s

#

not enough info given tbh

graceful sorrel Nov 1, 2022, 9:04 AM

#

ye thats what i mean

thin narwhal Nov 1, 2022, 9:04 AM

#

oh between ur fingers

#

but where between ur fingers??

graceful sorrel Nov 1, 2022, 9:04 AM

#

any

#

i suppose

#

dont really matter tbh

hasty folio Nov 1, 2022, 9:05 AM

#

This can be done im many ways

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What I like doing is graphing it

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if u have 9.8 m / s ^2

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As you acceleration

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And the integral of the acceleration is the velocity

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what will your velocity be?

graceful sorrel Nov 1, 2022, 9:08 AM

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hasty folio This can be done im many ways

idk man

graceful sorrel Nov 1, 2022, 9:08 AM

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hasty folio what will your velocity be?

9.8

hasty folio Nov 1, 2022, 9:09 AM

#

graceful sorrel Nov 1, 2022, 9:11 AM

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hasty folio

hmmmm

graceful sorrel Nov 1, 2022, 9:12 AM

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neon island

ye i think 9.8 could be an answer

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like saillboy says

safe radishBOT Nov 1, 2022, 9:20 AM

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@neon island Has your question been resolved?

neon island Nov 1, 2022, 9:20 AM

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graceful sorrel ye i think 9.8 could be an answer

Thank you @graceful sorrel

safe radishBOT Nov 1, 2022, 9:20 AM

#

Channel closed

Closed by @neon island

Use .reopen if this was a mistake.

graceful sorrel Nov 1, 2022, 9:20 AM

#

neon island Thank you <@961330721753038868>

awww no worries man

safe radishBOT Nov 1, 2022, 10:31 AM

#

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autumn tendon Nov 1, 2022, 10:36 AM

#

Hey does anyone know how to find the area of the triangle on the left

safe radishBOT Nov 1, 2022, 10:36 AM

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autumn tendon Hey does anyone know how to find the area of the triangle on the left

autumn tendon Nov 1, 2022, 10:36 AM

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acoustic wolf Nov 1, 2022, 10:37 AM

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1/2bh?

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just 1/2 * 3 * 2

frozen forge Nov 1, 2022, 10:37 AM

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no

autumn tendon Nov 1, 2022, 10:37 AM

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No the 3 is not the height of the whole side

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It's just the blue line

frozen forge Nov 1, 2022, 10:38 AM

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You want the blue triangle right ?

autumn tendon Nov 1, 2022, 10:38 AM

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Yep area of blue triangle

frozen forge Nov 1, 2022, 10:39 AM

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nos ry

acoustic wolf Nov 1, 2022, 10:39 AM

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frozen forge no

why not mate?

frozen forge Nov 1, 2022, 10:39 AM

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cause b is the long blue side

autumn tendon Nov 1, 2022, 10:39 AM

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Because the 3 is not the whole length of the side

frozen forge Nov 1, 2022, 10:40 AM

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and h isn't 2 either

acoustic wolf Nov 1, 2022, 10:40 AM

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wdym?

autumn tendon Nov 1, 2022, 10:40 AM

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It's only the blue side

acoustic wolf Nov 1, 2022, 10:40 AM

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the base is 3?

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for the left blue triangle

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the height is 2

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please explain how either arent?

autumn tendon Nov 1, 2022, 10:41 AM

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The height of the triangle is from the apex to the center of the base

frozen forge Nov 1, 2022, 10:41 AM

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autumn tendon Nov 1, 2022, 10:41 AM

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Yeah

acoustic wolf Nov 1, 2022, 10:41 AM

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its the perpendicular height no?

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which is 2 in this case

autumn tendon Nov 1, 2022, 10:42 AM

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Ohhhh really

frozen forge Nov 1, 2022, 10:42 AM

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acoustic wolf its the perpendicular height no?

You are taking the right triangle

acoustic wolf Nov 1, 2022, 10:42 AM

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no I am not

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the perpendicular height is the same

frozen forge Nov 1, 2022, 10:42 AM

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how is that ?

acoustic wolf Nov 1, 2022, 10:42 AM

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i cant draw it bc i broke my right thumb

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but ill try to explain

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the area of a triangle

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is a half

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multiplied by the base

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which is 3 in this case

autumn tendon Nov 1, 2022, 10:43 AM

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Ahhh so the height used is perpendicular

frozen forge Nov 1, 2022, 10:43 AM

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yes ik

acoustic wolf Nov 1, 2022, 10:43 AM

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multiplied by the perpendicular height

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which is 2

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perpendicular from the base

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you can see the right angle

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im not counting the red area

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but im using it to show that it is the perpendicular height

frozen forge Nov 1, 2022, 10:44 AM

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but the base isn 't 3

acoustic wolf Nov 1, 2022, 10:44 AM

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why not?

frozen forge Nov 1, 2022, 10:44 AM

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isn't my draw right ?

acoustic wolf Nov 1, 2022, 10:44 AM

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that would be correct

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if the hypotenuse was the base

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because your line is perpendicular to the hypotenuse

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but in this case that is not the base

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we are using a side of the triangle

frozen forge Nov 1, 2022, 10:45 AM

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ok i got it

acoustic wolf Nov 1, 2022, 10:45 AM

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ok cool

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sorry if I wasn't clear

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your questions were totally fair

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i may have not explained it well

autumn tendon Nov 1, 2022, 10:46 AM

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So then for the right triangle

acoustic wolf Nov 1, 2022, 10:46 AM

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quick thing mate

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in future

#

send ur question in the first message in the channel

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so when people check pins

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they see the diagram

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not a big deal

autumn tendon Nov 1, 2022, 10:46 AM

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Base is 4 height is 3?

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Oh yeah sure ok soz

acoustic wolf Nov 1, 2022, 10:47 AM

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all good

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that is right

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so you get 6km^2

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the 10km is a decoy

autumn tendon Nov 1, 2022, 10:47 AM

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💀

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Ok

acoustic wolf Nov 1, 2022, 10:47 AM

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unless you try to use pythagoras' theorem

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to solve

autumn tendon Nov 1, 2022, 10:47 AM

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That makes sense thanks

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Yeah

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:P

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You could do it using that

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Thank you tho

acoustic wolf Nov 1, 2022, 10:48 AM

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all good mate

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have a good evening

autumn tendon Nov 1, 2022, 10:48 AM

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You too byebye

acoustic wolf Nov 1, 2022, 10:51 AM

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can u close this room mate

safe radishBOT Nov 1, 2022, 11:03 AM

#

@autumn tendon Has your question been resolved?

#

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fallen thunder Nov 1, 2022, 11:35 AM

#

safe radishBOT Nov 1, 2022, 11:35 AM

#

fallen thunder

fallen thunder Nov 1, 2022, 11:35 AM

#

Does anyone know how to approach this?

safe radishBOT Nov 1, 2022, 11:50 AM

#

@fallen thunder Has your question been resolved?

safe radishBOT Nov 1, 2022, 12:05 PM

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late lintel Nov 1, 2022, 12:20 PM

#

A group of 9 friends will play two different board games at the same time. Both board games are designed to be played by a minimum of 2 and a maximum of 8 people at the same time. How many different rosters can they start the game with if everyone is playing.

Answers:
(A)282
(B)286
(C)492
(D)494
(E)526

safe radishBOT Nov 1, 2022, 12:20 PM

#

late lintel A group of 9 friends will play two different board games at the same time. Both ...

#

@late lintel Has your question been resolved?

late lintel Nov 1, 2022, 12:35 PM

#

<@&286206848099549185>

safe radishBOT Nov 1, 2022, 1:05 PM

#

@late lintel Has your question been resolved?

white hollow Nov 1, 2022, 1:16 PM

#

late lintel A group of 9 friends will play two different board games at the same time. Both ...

what have you done so far

late lintel Nov 1, 2022, 1:23 PM

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okay

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found out this is an arithmetic problem

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and wrote up the ways the rosters can be

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7-2
6-3
5-4
4-5
3-6
2-7

white hollow Nov 1, 2022, 1:24 PM

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yeah

white hollow Nov 1, 2022, 1:25 PM

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late lintel okay

also mark the X to the bot otherwise the channel might close

late lintel Nov 1, 2022, 1:27 PM

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got it

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thanks

white hollow Nov 1, 2022, 1:27 PM

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have you done anything past this?

late lintel Nov 1, 2022, 1:27 PM

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no i didn't

white hollow Nov 1, 2022, 1:27 PM

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alright

late lintel Nov 1, 2022, 1:27 PM

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i know we gotta do something with that combinatorics formula

white hollow Nov 1, 2022, 1:27 PM

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first,
we can half this in 2
7-2
6-3
5-4
4-5
3-6
2-7

late lintel Nov 1, 2022, 1:28 PM

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but i dont know how to write this things up

white hollow Nov 1, 2022, 1:28 PM

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we only need to look at
7-2
6-3
5-4

late lintel Nov 1, 2022, 1:28 PM

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yes

white hollow Nov 1, 2022, 1:28 PM

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late lintel but i dont know how to write this things up

ye dw

white hollow Nov 1, 2022, 1:28 PM

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late lintel yes

cus then we can multiply it by 2, as the board games don't distinguish in any way

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so let's start with 7-2

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how can we choose 2 people, from 9?

late lintel Nov 1, 2022, 1:28 PM

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9c2

white hollow Nov 1, 2022, 1:28 PM

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in how many ways

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ye

#

which is..

late lintel Nov 1, 2022, 1:28 PM

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i hope this will work

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,calc 9c2

flat frigateBOT Nov 1, 2022, 1:29 PM

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The following error occured while calculating:
Error: Undefined symbol c2

white hollow Nov 1, 2022, 1:29 PM

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lol

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come on you can do it in your head

late lintel Nov 1, 2022, 1:29 PM

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36

white hollow Nov 1, 2022, 1:29 PM

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ye

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alright, now how about 3 from 9

late lintel Nov 1, 2022, 1:30 PM

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9c3

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84

white hollow Nov 1, 2022, 1:30 PM

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you seem like you know how to do this bro :)

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continue the logical pattern

late lintel Nov 1, 2022, 1:30 PM

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9c4

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126

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,calc 36+84+126

flat frigateBOT Nov 1, 2022, 1:30 PM

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Result:

late lintel Nov 1, 2022, 1:31 PM

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,calc 246*2

flat frigateBOT Nov 1, 2022, 1:31 PM

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Result:

late lintel Nov 1, 2022, 1:31 PM

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answer 492 right?

white hollow Nov 1, 2022, 1:31 PM

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yep ;D

late lintel Nov 1, 2022, 1:31 PM

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i love you

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ahaha

white hollow Nov 1, 2022, 1:31 PM

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late lintel answer 492 right?

I hope so monkaS

white hollow Nov 1, 2022, 1:31 PM

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late lintel i love you

😊

late lintel Nov 1, 2022, 1:32 PM

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so i should have written it like this

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thank you for the help again

white hollow Nov 1, 2022, 1:33 PM

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no problem

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I gotchu

late lintel Nov 1, 2022, 1:33 PM

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you are like my second teacher to me at this point

white hollow Nov 1, 2022, 1:33 PM

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ahaha

late lintel Nov 1, 2022, 1:36 PM

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i go close this chat

#

byebye

#

.close

safe radishBOT Nov 1, 2022, 1:37 PM

#

Channel closed

Closed by @late lintel

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#

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worldly remnant Nov 1, 2022, 1:53 PM

#

safe radishBOT Nov 1, 2022, 1:53 PM

#

worldly remnant

worldly remnant Nov 1, 2022, 1:53 PM

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A bit confused on how to solve this

lean otter Nov 1, 2022, 1:58 PM

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,rotate

flat frigateBOT Nov 1, 2022, 1:58 PM

#

lean otter Nov 1, 2022, 2:04 PM

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worldly remnant A bit confused on how to solve this

what question?

#

if it's 5, try to remember third angle theorem

safe radishBOT Nov 1, 2022, 2:09 PM

#

@worldly remnant Has your question been resolved?

lean otter Nov 1, 2022, 2:10 PM

#

flat frigate

clue, the length of BG and FD are congruent. therefore, the angle DFA and GBF are also the same

safe radishBOT Nov 1, 2022, 2:24 PM

#

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fading crypt Nov 1, 2022, 2:28 PM

#

Hey

safe radishBOT Nov 1, 2022, 2:28 PM

#

fading crypt Hey

fading crypt Nov 1, 2022, 2:28 PM

#

I have an exercise but in french

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And i need some help

hallow egret Nov 1, 2022, 2:38 PM

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Translate it please so that others can read it, or just translate the question that you need

safe radishBOT Nov 1, 2022, 2:44 PM

#

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safe radishBOT Nov 1, 2022, 4:29 PM

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arctic ingot Nov 1, 2022, 4:33 PM

#

Where can i find example exercises, to check if multivariable function is differentiable in point, with solution and explanation?

safe radishBOT Nov 1, 2022, 4:33 PM

#

arctic ingot Where can i find example exercises, to check if multivariable function is differ...

#

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safe radishBOT Nov 1, 2022, 5:03 PM

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lean otter Nov 1, 2022, 5:04 PM

#

hello i need help with part B

safe radishBOT Nov 1, 2022, 5:04 PM

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lean otter hello i need help with part B

halcyon carbon Nov 1, 2022, 5:05 PM

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Find the equation of the line and set y=0

lean otter Nov 1, 2022, 5:06 PM

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wouldnt it be y=mx+b

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m is the slope so

frozen forge Nov 1, 2022, 5:06 PM

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that's the form

frozen forge Nov 1, 2022, 5:06 PM

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lean otter m is the slope so

right u got it

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now u need b

lean otter Nov 1, 2022, 5:06 PM

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so it would be y=-1x+b

frozen forge Nov 1, 2022, 5:07 PM

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yes

lean otter Nov 1, 2022, 5:07 PM

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if i switch x and y for any others i would get it

frozen forge Nov 1, 2022, 5:07 PM

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get what ?

lean otter Nov 1, 2022, 5:07 PM

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so 0 and 10

lean otter Nov 1, 2022, 5:07 PM

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frozen forge get what ?

b

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so 0=-1*10+b

frozen forge Nov 1, 2022, 5:08 PM

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go ahead

#

Yes that's it

lean otter Nov 1, 2022, 5:08 PM

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but how does that help with part b im still stuck

frozen forge Nov 1, 2022, 5:09 PM

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Otherwise, you can think that P is in L and as x = 0, 10 is the height of L for x = 0

#

But that's it

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You got b=10

lean otter Nov 1, 2022, 5:09 PM

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yes

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wait one sec

lean otter Nov 1, 2022, 5:10 PM

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lean otter so 0=-1*10+b

i switched the X with Y

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wait it would still be the same

frozen forge Nov 1, 2022, 5:11 PM

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i don't really understand what you mean by switch the X and Y

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But it works so i guess that's because i'm not english

lean otter Nov 1, 2022, 5:12 PM

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x is 0 and y is 10 in the very first equation

frozen forge Nov 1, 2022, 5:12 PM

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Yes

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Why would you switch them ?

#

You already got 10 = 0 + b

lean otter Nov 1, 2022, 5:13 PM

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true

frozen forge Nov 1, 2022, 5:13 PM

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ok

lean otter Nov 1, 2022, 5:14 PM

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and because we finished the first equation

#

we have 0=10*-1+10

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right?

frozen forge Nov 1, 2022, 5:15 PM

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lean otter we have 0=10*-1+10

where does it comes from ?

frozen forge Nov 1, 2022, 5:15 PM

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frozen forge You already got 10 = 0 + b

this ?

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I mean you always have 10 -10 = 0

lean otter Nov 1, 2022, 5:15 PM

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yeah kinds its from solving part A

frozen forge Nov 1, 2022, 5:16 PM

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Oh ok you apply the -1 of the slope

#

i got it

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but why is it relevant ?

lean otter Nov 1, 2022, 5:16 PM

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I just didn't understand its relevance to part b

frozen forge Nov 1, 2022, 5:16 PM

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Look

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Now you have y = -x + 10