#help-0 | Mathematics | Page 987

tacit arch Apr 11, 2022, 6:35 PM

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Do the examples near the bottom
https://en.wikipedia.org/wiki/Standard_normal_table

Standard normal table

A standard normal table, also called the unit normal table or Z table, is a mathematical table for the values of Φ, which are the values of the cumulative distribution function of the normal distribution. It is used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution, and by e...

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You'll need the complementary cumulative identity here

Screen_Shot_2022-04-11_at_11.35.56_AM.png

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In your notation, $P(Z \le z) = 1 - P(Z > z)$

ocean sealBOT Apr 11, 2022, 6:36 PM

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riemann

pale mauve Apr 11, 2022, 6:39 PM

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Thanks

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.close

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slender bane Apr 11, 2022, 6:59 PM

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Im having trouble understanding the answer to this problem

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lone heartBOT Apr 11, 2022, 6:59 PM

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slender bane Im having trouble understanding the answer to this problem

slender bane Apr 11, 2022, 7:00 PM

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where do we get 4 from

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ohhhhhh

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since 4<x^2<4

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yeah...

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i see now

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.close

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plush ermine Apr 11, 2022, 7:31 PM

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This isn't really a pure math question. I'm wondering how to estimate fuel burn over time for a rocket where I know the acceleration at all times, and the mass at the beginning and ending of the burn.

lone heartBOT Apr 11, 2022, 7:31 PM

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plush ermine This isn't really a pure math question. I'm wondering how to estimate fuel burn ...

plush ermine Apr 11, 2022, 7:31 PM

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So I know m0, mf, and a(t), and I want to find m(t).

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Approximately.

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First thought is mdot=constant, but this is probably very wrong. Another idea is Isp=constant, which is closer to true.

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But I don't know how to use that to get m(t)

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Because I(t) is not known either.

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$I=\int_0^t m(\tau)a(\tau)d\tau$

ocean sealBOT Apr 11, 2022, 7:33 PM

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PhysMan

lone heartBOT Apr 11, 2022, 7:48 PM

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@plush ermine Has your question been resolved?

plush ermine Apr 11, 2022, 7:50 PM

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!close

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.close

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desert zephyr Apr 11, 2022, 7:56 PM

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Check what

pale mauve Apr 11, 2022, 7:56 PM

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Sorry

lone heartBOT Apr 11, 2022, 8:12 PM

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@alpine sable Has your question been resolved?

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visual plinth Apr 11, 2022, 8:50 PM

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lone heartBOT Apr 11, 2022, 8:50 PM

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visual plinth

visual plinth Apr 11, 2022, 8:50 PM

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Anyone knows how the term on the left handside expands into the part underlined?

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ty

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im just getting to grips with all this proof stuff

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visual plinth Apr 11, 2022, 8:55 PM

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Ty ,like I know how to expand brackets but I needed to break it down like you said to get 2^P+1 for the proof which is not how im used to thinking

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yeah. it seems so.

lone heartBOT Apr 11, 2022, 9:00 PM

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last ether Apr 11, 2022, 9:00 PM

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lone heartBOT Apr 11, 2022, 9:00 PM

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last ether

last ether Apr 11, 2022, 9:00 PM

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Lemme latex my work in a sec

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I have a feeling whoever made this form bugged out

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But wouldn't f(-4) be $3 -\int_{-4}^{2}f'\left(x\right)dx$

ocean sealBOT Apr 11, 2022, 9:02 PM

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Umbraleviathan

last ether Apr 11, 2022, 9:09 PM

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I'm getting 2π-2

lone heartBOT Apr 11, 2022, 9:24 PM

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@last ether Has your question been resolved?

last ether Apr 11, 2022, 9:26 PM

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<@&286206848099549185> it's a review thing btw.

last ether Apr 11, 2022, 9:46 PM

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.close

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last ether Apr 11, 2022, 9:46 PM

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.reopen

lone heartBOT Apr 11, 2022, 9:46 PM

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✅

last ether Apr 11, 2022, 9:46 PM

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last ether

This

last ether Apr 11, 2022, 10:12 PM

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last ether Apr 11, 2022, 10:12 PM

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.reopen

lone heartBOT Apr 11, 2022, 10:12 PM

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✅

last ether Apr 11, 2022, 10:12 PM

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last ether

Here

last ether Apr 11, 2022, 10:12 PM

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ocean seal **Umbraleviathan**

My work

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Which I'm getting 2π-2

late bridge Apr 11, 2022, 10:30 PM

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last ether But wouldn't f(-4) be $3 -\int_{-4}^{2}f'\left(x\right)dx$

what value are you arriving at for the integral?

last ether Apr 11, 2022, 10:31 PM

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last ether Which I'm getting 2π-2

_ _

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Which is not an answer

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I'm wondering if I had set the integral up incorrectly

late bridge Apr 11, 2022, 10:32 PM

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last ether Which I'm getting 2π-2

this is not the result of the integral, nor is it what the question is asking for

late bridge Apr 11, 2022, 10:32 PM

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last ether I'm wondering if I had set the integral up incorrectly

what you texed is correct, including the integral

last ether Apr 11, 2022, 10:34 PM

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late bridge what value are you arriving at for the integral?

f(-4)?

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Your question is vague

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Are you asking about the value of the integral

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Or what I'm trying to solve

late bridge Apr 11, 2022, 10:34 PM

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the integral, it's what you messed up

last ether Apr 11, 2022, 10:37 PM

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Aight lemme get back to you in a bit and see where I messed up

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Are you saying that I had evaluated it incorrectly or had set it up incorrectly

late bridge Apr 11, 2022, 10:37 PM

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evaluated

last ether Apr 11, 2022, 10:40 PM

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I realized

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I took it from -6

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Can't believe it

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Lmao

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Thanks

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.close

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undone saffron Apr 11, 2022, 10:44 PM

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I need help with parallel line proofs, I started learning this yesterday and this homework is very confusing for me

lone heartBOT Apr 11, 2022, 10:44 PM

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undone saffron I need help with parallel line proofs, I started learning this yesterday and thi...

last ether Apr 11, 2022, 10:44 PM

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Let's see

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Show some of the work

undone saffron Apr 11, 2022, 10:44 PM

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I am in 9th grade btw

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this is what I have so far

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i just have no idea where to keep moving

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and what the steps are supposed to be

last ether Apr 11, 2022, 10:45 PM

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,rotate

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Might wanna crop out the teacher's names in case some weirdo tries to locate your school

undone saffron Apr 11, 2022, 10:46 PM

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oh

last ether Apr 11, 2022, 10:46 PM

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It's happened to me before

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Just a heads up

undone saffron Apr 11, 2022, 10:46 PM

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can you delete the image rq

last ether Apr 11, 2022, 10:46 PM

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Yeah

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Delete this too

undone saffron Apr 11, 2022, 10:46 PM

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sorry if im being dumb

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its just so confusing

last ether Apr 11, 2022, 10:46 PM

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No it's proofs

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Everyone hates proofs

undone saffron Apr 11, 2022, 10:46 PM

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,rotate

ocean sealBOT Apr 11, 2022, 10:47 PM

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last ether Apr 11, 2022, 10:47 PM

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Oh yeah there's a thing called same interior angle theorem

undone saffron Apr 11, 2022, 10:47 PM

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yeah

last ether Apr 11, 2022, 10:47 PM

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1 + 2 = 180°

undone saffron Apr 11, 2022, 10:48 PM

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idk how it could be used here tho

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oh wait

last ether Apr 11, 2022, 10:48 PM

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ocean seal

MA || TH

undone saffron Apr 11, 2022, 10:48 PM

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so

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m<1 + m<2 = 180

last ether Apr 11, 2022, 10:48 PM

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Transversal would be AH

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yeah

undone saffron Apr 11, 2022, 10:48 PM

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the reasoning would be same side interior angle theorem?

last ether Apr 11, 2022, 10:48 PM

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You can state that AH is a transversal

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And then state that they are supplementary because of the same interior angle theorem

undone saffron Apr 11, 2022, 10:49 PM

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my brain is exploding

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could i say transitive property of congruence or something?

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i think thats what my teacher taught me

last ether Apr 11, 2022, 10:49 PM

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Just state that AH is a transversal of MA and TH because it intersects both parallel lines

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Which means you can apple Same Interior Angle Theorem

undone saffron Apr 11, 2022, 10:50 PM

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i dont remember taking any notes on that hm

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let me check

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yeah theres no where that states anything about transversals

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this is what I have

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last ether Apr 11, 2022, 10:51 PM

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Transversal is a line that intersects two or more parallel lines

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Well

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Two or more lines

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They don't have to be parallel

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I guess it's implied that it's a transversal if it's a shape

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So I would actually jump straight into Same Side Interior

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Mb

undone saffron Apr 11, 2022, 10:53 PM

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what

last ether Apr 11, 2022, 10:53 PM

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Okay let's go back to the problem

undone saffron Apr 11, 2022, 10:53 PM

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yes

last ether Apr 11, 2022, 10:53 PM

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You know that MA || TH

undone saffron Apr 11, 2022, 10:53 PM

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yep

last ether Apr 11, 2022, 10:53 PM

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And that AH is a line that touches both of them

undone saffron Apr 11, 2022, 10:53 PM

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ah?

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you mean AT

last ether Apr 11, 2022, 10:53 PM

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I'm blind

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AT

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AT is a line that touches both of them

undone saffron Apr 11, 2022, 10:54 PM

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yep

last ether Apr 11, 2022, 10:54 PM

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And then you can use same side interior

undone saffron Apr 11, 2022, 10:54 PM

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theorem?

last ether Apr 11, 2022, 10:54 PM

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Yeah

undone saffron Apr 11, 2022, 10:54 PM

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so what I have now is

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m<1 + m<2 = 180 degree

last ether Apr 11, 2022, 10:54 PM

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Which, in itself, states taht angle 1 and angle 2 are supplementary to each other

undone saffron Apr 11, 2022, 10:54 PM

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and reasoning is same side interior theorem

last ether Apr 11, 2022, 10:54 PM

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Yeah

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So it's really just 2 steps

undone saffron Apr 11, 2022, 10:54 PM

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wait

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so the entire thing is

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only 2 steps

last ether Apr 11, 2022, 10:54 PM

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Given
Same Side Interior

undone saffron Apr 11, 2022, 10:56 PM

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,rotate

ocean sealBOT Apr 11, 2022, 10:56 PM

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last ether Apr 11, 2022, 10:56 PM

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Yeah pretty much

undone saffron Apr 11, 2022, 10:56 PM

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WHAT

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ITS THAT SIMPLE?

last ether Apr 11, 2022, 10:56 PM

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Sometimes

undone saffron Apr 11, 2022, 10:56 PM

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bruhh

last ether Apr 11, 2022, 10:56 PM

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You pray you get questions like those

undone saffron Apr 11, 2022, 10:56 PM

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why does proofs exist

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i hate my life

last ether Apr 11, 2022, 10:56 PM

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Because math sucks ass

undone saffron Apr 11, 2022, 10:56 PM

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i was doing good before this

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and bam

last ether Apr 11, 2022, 10:57 PM

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Yeah it takes practice

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Like

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A lotta

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Practice

undone saffron Apr 11, 2022, 10:57 PM

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hold o

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im going to try a question

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and see if i did it right

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this thing right here

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wait

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are those isosceles triangles?

last ether Apr 11, 2022, 10:58 PM

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Yeah

undone saffron Apr 11, 2022, 10:59 PM

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so step 1 after given

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i will do

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m<1 + m<2 = 180 degrees

last ether Apr 11, 2022, 10:59 PM

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no

undone saffron Apr 11, 2022, 10:59 PM

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no

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IM STUPid

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ignore me for a second

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1 is congurent to 3

last ether Apr 11, 2022, 11:00 PM

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undone saffron are those isosceles triangles?

_ _

undone saffron Apr 11, 2022, 11:00 PM

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is first step

last ether Apr 11, 2022, 11:00 PM

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undone saffron is first step

Third

undone saffron Apr 11, 2022, 11:00 PM

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wgat

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ok

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uh

last ether Apr 11, 2022, 11:00 PM

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State that BCD is an isosceles triangle first

undone saffron Apr 11, 2022, 11:00 PM

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2 and 3 are corresponding?

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oh

last ether Apr 11, 2022, 11:00 PM

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So that you can say that 1 = 3

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And by that one property, 1 = 2 = 3, so 1 = 3

undone saffron Apr 11, 2022, 11:01 PM

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last ether State that BCD is an isosceles triangle first

reasoning is see diagram or something right

last ether Apr 11, 2022, 11:01 PM

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And because opposite side interior, those lines are parallel

last ether Apr 11, 2022, 11:01 PM

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undone saffron reasoning is see diagram or something right

BC = CD

undone saffron Apr 11, 2022, 11:01 PM

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oh

last ether Apr 11, 2022, 11:01 PM

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is why it's isoceles

undone saffron Apr 11, 2022, 11:01 PM

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can I say see diagram tho

last ether Apr 11, 2022, 11:01 PM

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No

undone saffron Apr 11, 2022, 11:01 PM

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i think i did that somewhere in practice at school

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i forgot where tho

last ether Apr 11, 2022, 11:02 PM

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You can say that if it's marked as equal

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But

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It isn't

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It's only given, in words

undone saffron Apr 11, 2022, 11:03 PM

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ok let me see

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what graed are you in btw?

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just wondering

last ether Apr 11, 2022, 11:04 PM

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11th

undone saffron Apr 11, 2022, 11:04 PM

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dam

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wait

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is it converse of

last ether Apr 11, 2022, 11:05 PM

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Yeah

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Converse of interior opposite angles

undone saffron Apr 11, 2022, 11:05 PM

#

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,rotate

ocean sealBOT Apr 11, 2022, 11:05 PM

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last ether Apr 11, 2022, 11:06 PM

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Yup

undone saffron Apr 11, 2022, 11:06 PM

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i probably made mistake somewhere

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is this right?

last ether Apr 11, 2022, 11:06 PM

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You got it

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Yeah

undone saffron Apr 11, 2022, 11:06 PM

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omg

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i cant believe it

last ether Apr 11, 2022, 11:06 PM

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You did it

undone saffron Apr 11, 2022, 11:06 PM

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yayayysdyasdyasy

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last thing

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i am missing like 3 boxes

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,rotate

last ether Apr 11, 2022, 11:09 PM

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Ye hold on

ocean sealBOT Apr 11, 2022, 11:11 PM

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last ether Apr 11, 2022, 11:11 PM

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Uh

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This is weird

undone saffron Apr 11, 2022, 11:12 PM

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yea?

last ether Apr 11, 2022, 11:12 PM

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Of

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Oh

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m3 and m4 are supplemtary

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Wait no

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That's been stated

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Well

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I guess m3 + m2 = 180

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That's my guess

undone saffron Apr 11, 2022, 11:14 PM

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did i do the other stuff right tho

last ether Apr 11, 2022, 11:15 PM

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Yeah

undone saffron Apr 11, 2022, 11:16 PM

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for 8 i cant understand what the reasoning is supposed to be

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cause it says its same side interior on step 9

last ether Apr 11, 2022, 11:17 PM

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You can just use substitution property

undone saffron Apr 11, 2022, 11:17 PM

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so just substitution??

last ether Apr 11, 2022, 11:17 PM

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If 2 = 3 and 2 + 4 = 180

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Then 3 + 4 = 180

undone saffron Apr 11, 2022, 11:17 PM

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i have to stap like step 3 right

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like substitution (step 3)

last ether Apr 11, 2022, 11:17 PM

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Basically

undone saffron Apr 11, 2022, 11:18 PM

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or is it another step?

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okay finally done

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this actually helped a lot

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tysm @last ether

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how do i close this thing?

last ether Apr 11, 2022, 11:25 PM

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.close

last ether Apr 11, 2022, 11:25 PM

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undone saffron tysm <@349354952961032192>

no problem

undone saffron Apr 11, 2022, 11:26 PM

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.close

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lone heartBOT Apr 11, 2022, 11:55 PM

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@alpine sable Has your question been resolved?

oblique pier Apr 12, 2022, 12:04 AM

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wa?

oblique pier Apr 12, 2022, 12:04 AM

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undone saffron

this?

lone heartBOT Apr 12, 2022, 12:34 AM

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@alpine sable Has your question been resolved?

lone heartBOT Apr 12, 2022, 1:35 AM

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@alpine sable Has your question been resolved?

lone heartBOT Apr 12, 2022, 3:36 AM

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@alpine sable Has your question been resolved?

tacit arch Apr 12, 2022, 4:37 AM

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What kind of answer are you looking for? A field with two elements is a set with only two elements so of course it's different from sets with countably and uncountably infinite cardinality.

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Maybe read this
https://en.m.wikipedia.org/wiki/GF(2)

GF(2)

GF(2) (also denoted

        F
      
      
        2
      
    
  

{\displaystyle \mathbb {F} _{2}}

, Z/2Z or

      Z
    
    
      /
    
    2
    
      Z
    
  

{\displaystyle \mathbb {Z} /...

alpine sable Apr 12, 2022, 6:10 AM

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@alpine sable I'm not sure the question is coherent yet. What do you mean by "it has a different solution set"? what is the solution set of a field?

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do you mean to ask about the solutions to a polynomial equation or something like that?

tacit arch Apr 12, 2022, 6:49 AM

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.close

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hardy skiff Apr 12, 2022, 7:00 AM

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lone heartBOT Apr 12, 2022, 7:00 AM

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hardy skiff

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@hardy skiff Has your question been resolved?

slate jolt Apr 12, 2022, 7:37 AM

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idk what is a centroid Y-bar, but I can help if you want the centroid of the shape

lone heartBOT Apr 12, 2022, 7:47 AM

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@hardy skiff Has your question been resolved?

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peak stag Apr 12, 2022, 8:19 AM

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is it right if i say that the sum of constants is another constant?

lone heartBOT Apr 12, 2022, 8:19 AM

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peak stag is it right if i say that the sum of constants is another constant?

peak stag Apr 12, 2022, 8:20 AM

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also, constants can't contain variables right?

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like the quadratic expression:
ax^2 + bx + c
where a, b and c are constants. I can't have x in a or b or c i believe

vale wigeon Apr 12, 2022, 8:21 AM

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yes

peak stag Apr 12, 2022, 8:29 AM

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cool thanks

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.close

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peak stag Apr 12, 2022, 8:32 AM

#

also in the quadratic expression:
ax^2 + bx + c

is ax^2 and bx considered as variables?

lone heartBOT Apr 12, 2022, 8:32 AM

#

peak stag also in the quadratic expression: ax^2 + bx + c is ax^2 and bx considered as v...

peak stag Apr 12, 2022, 8:33 AM

#

i know that a, b and c are constants but not so sure if i have constants multiplied by variables

tight locust Apr 12, 2022, 8:34 AM

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No

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Just x is the variable

peak stag Apr 12, 2022, 8:35 AM

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so the whole term isn't a variable?

#

it can't be a constant either

#

cause x is a variable

vague holly Apr 12, 2022, 8:39 AM

#

A polynomial is an expression, I wouldn't say it's a variable

lone heartBOT Apr 12, 2022, 8:50 AM

#

@peak stag Has your question been resolved?

lone heartBOT Apr 12, 2022, 9:05 AM

#

Channel closed

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lone heartBOT Apr 12, 2022, 10:00 AM

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zenith compass Apr 12, 2022, 10:07 AM

#

lone heartBOT Apr 12, 2022, 10:08 AM

#

zenith compass

zenith compass Apr 12, 2022, 10:11 AM

#

I want to ask about the notation problem

So basically I know $\mu$ and $\bar{x}$ are referring to population and sample mean respectively

But I saw some version just denote the mean by $M$

So my question is, what does this $M$ refer to? Population or sample?

Can I further replace $M$ by $\mu$ or $\bar{x}$?

ocean sealBOT Apr 12, 2022, 10:11 AM

#

Trenton

bitter vault Apr 12, 2022, 10:13 AM

#

zenith compass I want to ask about the notation problem So basically I know $\mu$ and $\bar{x}...

M is the sample mean. It is $\bar{X}$.

ocean sealBOT Apr 12, 2022, 10:14 AM

#

1345631

zenith compass Apr 12, 2022, 10:14 AM

#

bitter vault M is the sample mean. It is $\bar{X}$.

Ok thank you so much

#

.close

lone heartBOT Apr 12, 2022, 10:14 AM

#

Channel closed

Closed by @zenith compass

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tight locust Apr 12, 2022, 10:15 AM

#

$\bar{\mu}$

ocean sealBOT Apr 12, 2022, 10:15 AM

#

EndTimes

$\bar{\mu}$

zenith compass Apr 12, 2022, 10:17 AM

#

tight locust $\bar{\mu}$

Noice

lone heartBOT Apr 12, 2022, 10:18 AM

#

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zenith compass Apr 12, 2022, 10:18 AM

#

tight locust $\bar{\mu}$

$\bar{\bar{\mu}}$

lone heartBOT Apr 12, 2022, 10:18 AM

#

zenith compass $\bar{\bar{\mu}}$

ocean sealBOT Apr 12, 2022, 10:18 AM

#

Trenton

zenith compass Apr 12, 2022, 10:18 AM

#

Oh sorry

#

.close

lone heartBOT Apr 12, 2022, 10:18 AM

#

Channel closed

Closed by @zenith compass

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tight locust Apr 12, 2022, 10:18 AM

#

Lmao

zenith compass Apr 12, 2022, 10:18 AM

#

Lol

zenith compass Apr 12, 2022, 10:18 AM

#

ocean seal **Trenton**

It looks like a old man

#

In anime

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Two bars

#

So cute

tight locust Apr 12, 2022, 10:19 AM

#

thinkfold

fluid flame Apr 12, 2022, 10:19 AM

#

mf got sum bars

zenith compass Apr 12, 2022, 10:19 AM

#

$\bar{\sum}$

ocean sealBOT Apr 12, 2022, 10:19 AM

#

Trenton

zenith compass Apr 12, 2022, 10:19 AM

#

Lol

fluid flame Apr 12, 2022, 10:19 AM

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that shit tiny wtf 💀

zenith compass Apr 12, 2022, 10:19 AM

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Lol

#

Btw the “chill” channel disappeared?

fluid flame Apr 12, 2022, 10:20 AM

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What?

granite imp Apr 12, 2022, 10:20 AM

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integral?

fluid flame Apr 12, 2022, 10:20 AM

#

zenith compass Btw the “chill” channel disappeared?

No it's there

zenith compass Apr 12, 2022, 10:20 AM

#

I miss that channel

fluid flame Apr 12, 2022, 10:20 AM

#

#chill

granite imp Apr 12, 2022, 10:20 AM

#

$\bar{\integral}$

zenith compass Apr 12, 2022, 10:20 AM

#

fluid flame No it's there

Umm

fluid flame Apr 12, 2022, 10:20 AM

#

$\bar{\int}$

ocean sealBOT Apr 12, 2022, 10:20 AM

#

Plumbum

granite imp Apr 12, 2022, 10:20 AM

#

hehe xd

zenith compass Apr 12, 2022, 10:21 AM

#

fluid flame <#342850939306246145>

I can’t see any channel linking from your text

fluid flame Apr 12, 2022, 10:21 AM

#

$\not{\int}$

vale wigeon Apr 12, 2022, 10:21 AM

#

#bots, y'all

ocean sealBOT Apr 12, 2022, 10:21 AM

#

Plumbum

zenith compass Apr 12, 2022, 10:21 AM

#

granite imp Apr 12, 2022, 10:21 AM

#

${\int}$

ocean sealBOT Apr 12, 2022, 10:21 AM

#

Melik
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

vale wigeon Apr 12, 2022, 10:21 AM

#

is there a question being discussed here?

fluid flame Apr 12, 2022, 10:21 AM

#

Bruh wtf

zenith compass Apr 12, 2022, 10:21 AM

#

Nope. Problem solved

vale wigeon Apr 12, 2022, 10:21 AM

#

if not, then y'all should go to #bots or #latex-testing.

#

okay.

#

.close

zenith compass Apr 12, 2022, 10:22 AM

#

It is closed

zenith compass Apr 12, 2022, 10:22 AM

#

vale wigeon if not, then y'all should go to <#488104216678760469> or <#844681108473118750>.

Ok

vale wigeon Apr 12, 2022, 10:22 AM

#

ah.

fluid flame Apr 12, 2022, 10:22 AM

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@zenith compass btw

#

no it's not closed

zenith compass Apr 12, 2022, 10:22 AM

#

?

zenith compass Apr 12, 2022, 10:22 AM

#

lone heart

…

fluid flame Apr 12, 2022, 10:23 AM

#

#

...

zenith compass Apr 12, 2022, 10:24 AM

#

Ummmmmmm

#

Maybe I was banned

vale wigeon Apr 12, 2022, 10:24 AM

#

channels sometimes take a few minutes to close

#

it's notmal

#

normal*

zenith compass Apr 12, 2022, 10:25 AM

#

But I really can’t find “chill”

zenith compass Apr 12, 2022, 10:25 AM

#

zenith compass

As shown here

fluid flame Apr 12, 2022, 10:25 AM

#

cuz u ain't "chill"

#

fkn burn lmao

zenith compass Apr 12, 2022, 10:25 AM

#

QAQ

lone heartBOT Apr 12, 2022, 10:28 AM

#

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dim vine Apr 12, 2022, 10:36 AM

#

lone heartBOT Apr 12, 2022, 10:36 AM

#

dim vine

dim vine Apr 12, 2022, 10:36 AM

#

How come the statement I've underlined is wrong

#

Can I not use X as 49/Sin(A) ?

limpid spade Apr 12, 2022, 10:39 AM

#

what is X

dim vine Apr 12, 2022, 10:39 AM

#

Sorry. It's the force dragging the 5kg "particle" down the slope

#

I've got it labelled as 81.67 but apparently I'm wrong

limpid spade Apr 12, 2022, 10:40 AM

#

what's given

dim vine Apr 12, 2022, 10:40 AM

#

Angle A and the masses

#

limpid spade Apr 12, 2022, 10:42 AM

#

what's angle A

dim vine Apr 12, 2022, 10:42 AM

#

36.87

#

Sin^-1(3/5)

limpid spade Apr 12, 2022, 10:42 AM

#

no friction?

dim vine Apr 12, 2022, 10:43 AM

#

Nope

#

We assume there's none for this one

random zinc Apr 12, 2022, 10:43 AM

#

should be *sin if you search the force

limpid spade Apr 12, 2022, 10:44 AM

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is there acceleration

#

or is it constant speed

dim vine Apr 12, 2022, 10:44 AM

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Constant acceleration

#

U mean 49*SinA? That's what the solution guy did but I don't understand where I go wrong if I take it at 49/SinA

random zinc Apr 12, 2022, 10:45 AM

#

dim vine

what you did here, is you calculated the geometric hypothenuse of the triangle. If you search for the force you have to calculate it inside a force parallelogram

#

connect your x arrow with the 49N arrow, then you got a new triangle

dim vine Apr 12, 2022, 10:46 AM

#

Ok let me think for a second

#

Wait isn't that the triangle I've been using?

random zinc Apr 12, 2022, 10:47 AM

#

dim vine

wait a sec I try to sketch it

dim vine Apr 12, 2022, 10:47 AM

#

Ty

random zinc Apr 12, 2022, 10:51 AM

#

If you search for the force, you have to use the red triangle. What you did you calculated the blue one (not quite exactle because the triangle is not 49 high. Does this helps ?

#

the red arrow showing down is your Gravitation Force. It could happen that the red and the blue triangle are the same but very unlikely

dim vine Apr 12, 2022, 10:53 AM

#

Oh so is it not 49 high because there are other forces going in that direaction?

random zinc Apr 12, 2022, 10:55 AM

#

your triangle not, your force is 49. But take a look on the sketch. Now your Gravitation Force is the hypothenuse. In the blue one you handled it like the opposite side

#

these are two different triangles. One for the actual block, and one for the forces

#

you calculated the length of the block, if you now what I mean. But not the x Force

dim vine Apr 12, 2022, 10:57 AM

#

Aaahh

#

ok thank you

random zinc Apr 12, 2022, 10:58 AM

#

your alpha angle is on the bottom, where I drew a small circle. You can proof that by some angle identities but not necessary

dim vine Apr 12, 2022, 10:58 AM

#

Yeah I ended up using the 53.13 as the top right angle and it came out as right

#

It was 49Cos53.13

#

Thanks a lot though. Hopefully I'll remember this

random zinc Apr 12, 2022, 10:59 AM

#

Awesome!

dim vine Apr 12, 2022, 11:00 AM

#

Although stuff is a lot easier to remember when you understand it so thanks again

#

.close

lone heartBOT Apr 12, 2022, 11:00 AM

#

Channel closed

Closed by @dim vine

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crisp perch Apr 12, 2022, 11:09 AM

#

hi

lone heartBOT Apr 12, 2022, 11:10 AM

#

crisp perch hi

silver adder Apr 12, 2022, 11:10 AM

#

hi

crisp perch Apr 12, 2022, 11:10 AM

#

do u guys know this

#

lone heartBOT Apr 12, 2022, 11:25 AM

#

@crisp perch Has your question been resolved?

last ether Apr 12, 2022, 11:37 AM

#

Yeah

#

You would integrate

lone heartBOT Apr 12, 2022, 11:40 AM

#

Channel closed

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crisp perch Apr 12, 2022, 11:42 AM

#

i

lone heartBOT Apr 12, 2022, 11:42 AM

#

crisp perch i

crisp perch Apr 12, 2022, 11:42 AM

#

#

who knows this?

lone heartBOT Apr 12, 2022, 11:57 AM

#

@crisp perch Has your question been resolved?

lone heartBOT Apr 12, 2022, 12:12 PM

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fallen plover Apr 12, 2022, 12:20 PM

#

Why is B the 'A' and not A itself

lone heartBOT Apr 12, 2022, 12:20 PM

#

fallen plover Why is B the 'A' and not A itself

fallen plover Apr 12, 2022, 12:21 PM

#

Can anyone help plz

#

Thank yoy

#

You

#

The formula to find the angle using cosine rule is CosA=b²+c²-a²/2bc

#

But idk why that top A isn't the 'A' and instead it's the B instead

#

Bc of that I got my answer wrong too which could be harmful in exams

#

<@&286206848099549185>

lone heartBOT Apr 12, 2022, 12:48 PM

#

@fallen plover Has your question been resolved?

dim vine Apr 12, 2022, 12:54 PM

#

'A' is just the angle with the known side, 'a', opposite it. 'b' and 'c' are the other two sides in no particular order

fallen plover Apr 12, 2022, 12:56 PM

#

Ik I was just wondering why the opposite 'a' in this question wasn't 9m and was 10m instead

#

Or maybe the A point in that triangle can't have the angle A on it perhaps

#

Damn idk lol

dim vine Apr 12, 2022, 12:57 PM

#

Are you just asking why they decided to label the sides in a way that was confusing to use the cosine rule with? Because they did it so that it would be confusing to use the cosine rule with to 'test the understanding'

fallen plover Apr 12, 2022, 12:58 PM

#

dim vine Are you just asking why they decided to label the sides in a way that was confus...

Ohhh

#

Damn that's kinda harsh but makes sense

#

Okay I see thanks for ur help

#

.close

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#

Channel closed

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#

@alpine sable Has your question been resolved?

lone heartBOT Apr 12, 2022, 1:50 PM

#

@alpine sable Has your question been resolved?

lone heartBOT Apr 12, 2022, 2:51 PM

#

@alpine sable Has your question been resolved?

lone heartBOT Apr 12, 2022, 4:51 PM

#

@alpine sable Has your question been resolved?

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fresh relic Apr 12, 2022, 6:56 PM

#

I want to be able to solve problems like this. What topics/videos should I look at to be able to do these?

lone heartBOT Apr 12, 2022, 6:56 PM

#

fresh relic I want to be able to solve problems like this. What topics/videos should I look ...

#

@fresh relic Has your question been resolved?

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tropic sail Apr 12, 2022, 7:46 PM

#

Hello

lone heartBOT Apr 12, 2022, 7:46 PM

#

tropic sail Hello

tropic sail Apr 12, 2022, 7:46 PM

#

When doing implicit diffenciation with respect to x,

#

Why do we put dydx after a y term?

placid zinc Apr 12, 2022, 7:47 PM

#

That's the chain rule

#

Let's say we're taking the x derivative of some f(y) = u. Then:
du/dx = du/dy × dy/dx

#

The left is what you want.
The middle is the actual derivative
The right is the dy/dx that gets stuck on the end

tropic sail Apr 12, 2022, 7:49 PM

#

What about the derivation of

#

ln(y) = x^2

#

Why is it

placid zinc Apr 12, 2022, 7:50 PM

#

(1/y)(dy/dx) = 2x

tropic sail Apr 12, 2022, 7:50 PM

#

Yes but why the dydx

#

Why not (1/y) = 2x

rotund plank Apr 12, 2022, 7:51 PM

#

Chain rule

#

The guy said

placid zinc Apr 12, 2022, 7:51 PM

#

In order words:
d[ln(y)]/dx = d[ln(y)]/dy × dy/dx

rotund plank Apr 12, 2022, 7:51 PM

#

We always use the chain rule, just sometimes it’s not obvious

placid zinc Apr 12, 2022, 7:51 PM

#

Notice the dy "cancels" on the right, to give the result you want on the left

tropic sail Apr 12, 2022, 7:52 PM

#

Ah yes

#

Ty

#

.close

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#

Channel closed

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wheat sapphire Apr 12, 2022, 8:06 PM

#

Can anyone tell me the answer?

lone heartBOT Apr 12, 2022, 8:06 PM

#

wheat sapphire Can anyone tell me the answer?

wheat sapphire Apr 12, 2022, 8:06 PM

#

wheat sapphire Can anyone tell me the answer?

I am getting the answer as '3'

#

am I right?

naive valley Apr 12, 2022, 8:07 PM

#

yes

wheat sapphire Apr 12, 2022, 8:08 PM

#

Bro, my book says the answer is 4

#

how?

naive valley Apr 12, 2022, 8:08 PM

#

haha what, where would 4 come from

#

it's d/dx(r_x) + d/dy(r_y) + d/dz(r_z), which is d/dx(x) + d/dy(y) + d/dz(z) = 1 + 1 + 1

#

which is 3 last time I checked 😆

wheat sapphire Apr 12, 2022, 8:09 PM

#

naive valley haha what, where would 4 come from

I am also like the same... I am like wtf? why seriously?

naive valley Apr 12, 2022, 8:09 PM

#

must just be a typo

wheat sapphire Apr 12, 2022, 8:09 PM

#

yeah, it must be

#

.close

lone heartBOT Apr 12, 2022, 8:22 PM

#

Channel closed

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lone heartBOT Apr 12, 2022, 9:21 PM

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midnight prairie Apr 12, 2022, 9:23 PM

#

how do i make divisions easily?

lone heartBOT Apr 12, 2022, 9:23 PM

#

midnight prairie how do i make divisions easily?

midnight prairie Apr 12, 2022, 9:23 PM

#

like today i had to do 205700/14075

supple hinge Apr 12, 2022, 9:24 PM

#

calculator

#

unless youre in like 2nd grade

#

even if

#

calculator lol

solar pebble Apr 12, 2022, 9:25 PM

#

i mean you can divide both by 5

#

41 140/2815

#

then 5 again

#

but that's really the most you're gonna get

supple hinge Apr 12, 2022, 9:28 PM

#

when u get past like middle school

#

all u use is calculators tbf

midnight prairie Apr 12, 2022, 9:35 PM

#

im in elementary school 8th grade

supple hinge Apr 12, 2022, 9:40 PM

#

then you should be allowed calculators

midnight prairie Apr 12, 2022, 9:46 PM

#

im not

lone heartBOT Apr 12, 2022, 10:01 PM

#

@midnight prairie Has your question been resolved?

midnight prairie Apr 12, 2022, 10:03 PM

#

.close

lone heartBOT Apr 12, 2022, 10:03 PM

#

Channel closed

Closed by @midnight prairie

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#

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desert lantern Apr 12, 2022, 10:06 PM

#

(reposting bc I fell asleep last night before anyone responded) probably a very simple question but I'm struggling. I have values that are between 0 and 1, and I want to amplify them so that they skew closer to the extreme ends of the scale if that makes sense

lone heartBOT Apr 12, 2022, 10:06 PM

#

desert lantern (reposting bc I fell asleep last night before anyone responded) probably a very ...

desert lantern Apr 12, 2022, 10:07 PM

#

someone suggested a density function or something but I didn’t understand that bc I am a bozo and when I googled it i could not understand 🤡

naive valley Apr 12, 2022, 10:10 PM

#

lots of ways to do this, for example for numbers between 0 and 1 you make them larger (but still in [0,1]) by taking square roots or higher roots

desert lantern Apr 12, 2022, 10:16 PM

#

naive valley lots of ways to do this, for example for numbers between 0 and 1 you make them l...

mmm but I’m trying to find a function to make it work in both directions. ie values below .5 move towards 0, and values above .5 skew towards one

naive valley Apr 12, 2022, 10:16 PM

#

ok

#

squaring and higher powers have the opposite effect

#

you could do a piecewise function: if x is <= 0.5 then square it or cube it (or higher power), if x is > 0.5 then square root it or cube root it (or higher root)

#

that's one approach anyway

last tendon Apr 12, 2022, 10:28 PM

#

The way you would normally do this is to use a probability integral transform

#

https://en.wikipedia.org/wiki/Probability_integral_transform

Probability integral transform

In probability theory, the probability integral transform (also known as universality of the uniform) relates to the result that data values that are modeled as being random variables from any given continuous distribution can be converted to random variables having a standard uniform distribution. This holds exactly provided that the distributi...

#

This lets you convert and uniform [0,1] random variable to another probability distribution function, so all that is required is that you pick a distribution with the skewness properties you want and apply the transform on your random samples

#

The big picture ideal is to view your uniformly distributed random numbers as a quantile, and the invert it to get a probability following whatever distribution you need

lone heartBOT Apr 12, 2022, 10:36 PM

#

@desert lantern Has your question been resolved?

desert lantern Apr 12, 2022, 10:37 PM

#

last tendon The big picture ideal is to view your uniformly distributed random numbers as a ...

that’s a big answer thank you dad I will do research

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low thorn Apr 12, 2022, 11:05 PM

#

lone heartBOT Apr 12, 2022, 11:05 PM

#

low thorn

lethal flint Apr 12, 2022, 11:06 PM

#

Hi I have a question, what is AE?

buoyant kayak Apr 12, 2022, 11:07 PM

#

lethal flint Hi I have a question, what is AE?

not your channel. #❓how-to-get-help

buoyant kayak Apr 12, 2022, 11:07 PM

#

low thorn

what have you tried

lethal flint Apr 12, 2022, 11:08 PM

#

ok

low thorn Apr 12, 2022, 11:08 PM

#

buoyant kayak what have you tried

I've tried 178 and 90

buoyant kayak Apr 12, 2022, 11:08 PM

#

how did you get either of those numbers

low thorn Apr 12, 2022, 11:09 PM

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I have no idea

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I think I did either equation then I subtracted them

buoyant kayak Apr 12, 2022, 11:10 PM

#

what

low thorn Apr 12, 2022, 11:10 PM

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I don't know 😕

#

I think I figured it outututututt

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.close

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quasi nacelle Apr 12, 2022, 11:18 PM

#

lone heartBOT Apr 12, 2022, 11:18 PM

#

quasi nacelle

quasi nacelle Apr 12, 2022, 11:18 PM

#

how do i do this?

buoyant kayak Apr 12, 2022, 11:23 PM

#

do you know the general formula for sum of a geometric series

quasi nacelle Apr 12, 2022, 11:25 PM

#

u r a goat @buoyant kayak

buoyant kayak Apr 12, 2022, 11:26 PM

#

hmm actually i think you need to use the formulas for the sum of k and k^2

#

from 1 to n

quasi nacelle Apr 12, 2022, 11:27 PM

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is it 18(n-1)/n^2

buoyant kayak Apr 12, 2022, 11:28 PM

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give me a sec

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no it is not

quasi nacelle Apr 12, 2022, 11:32 PM

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what am i doing wrong am i not suppose to subsitute the n

buoyant kayak Apr 12, 2022, 11:34 PM

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can you show me exactly what you're doing

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cause i'm not sure how you arrived at that answer

quasi nacelle Apr 12, 2022, 11:39 PM

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yeah idk can u show me how start and continue it

buoyant kayak Apr 12, 2022, 11:40 PM

#

do you know $\sum_{k=1}^nk$ and $\sum_{k=1}^nk^2$?

ocean sealBOT Apr 12, 2022, 11:40 PM

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a disappointing son

quasi nacelle Apr 12, 2022, 11:52 PM

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.close

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alpine sable Apr 12, 2022, 11:58 PM

#

How is this calculated ?

lone heartBOT Apr 12, 2022, 11:58 PM

#

alpine sable How is this calculated ?

alpine sable Apr 12, 2022, 11:58 PM

#

I have tried a few methods but I’m not getting the right answer

lone heartBOT Apr 13, 2022, 12:13 AM

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@alpine sable Has your question been resolved?

alpine sable Apr 13, 2022, 12:13 AM

#

<@&286206848099549185>

#

Please anyone 🥺

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<@&286206848099549185>

#

Sorry for pinging again, I only have 10 mins left to answer this question, I’ve done it before but I’m having a mind blank and totally forgot how I did it

#

.close

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shell tree Apr 13, 2022, 12:36 AM

#

Hello, i’ve solved this as far as I feel confident and now must conclude if it’s divergent or convergent, my question is if the value like in my example is a real number then will it be convergent? and in the case my value went to infinity would it be divergent?

lone heartBOT Apr 13, 2022, 12:36 AM

#

shell tree Hello, i’ve solved this as far as I feel confident and now must conclude if it’s...

shell tree Apr 13, 2022, 12:47 AM

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.close

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gray trout Apr 13, 2022, 12:51 AM

#

would this be considered a linear oblique asymptote?

lone heartBOT Apr 13, 2022, 12:51 AM

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gray trout would this be considered a linear oblique asymptote?

gray trout Apr 13, 2022, 12:52 AM

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or this???, im p sure its the first

lone heartBOT Apr 13, 2022, 1:07 AM

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@gray trout Has your question been resolved?

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@gray trout Has your question been resolved?

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leaden prawn Apr 13, 2022, 1:46 AM

#

Eqn 1 --- 23 = k(2^n) + 7
Eqn 2 --- 61 = k(3^n) + 7
How do I find k and n?

lone heartBOT Apr 13, 2022, 1:46 AM

#

leaden prawn Eqn 1 --- 23 = k(2^n) + 7 Eqn 2 --- 61 = k(3^n) + 7 How do I find k and n?

jagged imp Apr 13, 2022, 1:48 AM

#

Take 7 from both equations, then divide one equation by the other to eliminate k

leaden prawn Apr 13, 2022, 1:49 AM

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Ah got it, thanks

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.close

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hexed night Apr 13, 2022, 2:02 AM

#

pls help in part f)

lone heartBOT Apr 13, 2022, 2:02 AM

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hexed night pls help in part f)

hexed night Apr 13, 2022, 2:02 AM

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I hv tried finding inverse

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but its not good

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then i tried taking g(x) = a + bx + cx^2

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since x= g(x) * e^g(x)

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but not really sure how to do the ques

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someone can send working pls?

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thank you

hexed night Apr 13, 2022, 2:03 AM

#

hexed night pls help in part f)

pls only the last part

hexed night Apr 13, 2022, 2:16 AM

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hexed night pls help in part f)

<@&286206848099549185>

#

please

lone heartBOT Apr 13, 2022, 2:31 AM

#

@hexed night Has your question been resolved?

hexed night Apr 13, 2022, 2:49 AM

#

hexed night someone can send working pls?

<@&286206848099549185> - pls ping me for a reply

lone heartBOT Apr 13, 2022, 3:19 AM

#

@hexed night Has your question been resolved?

lone heartBOT Apr 13, 2022, 4:20 AM

#

@hexed night Has your question been resolved?

tacit arch Apr 13, 2022, 4:40 AM

#

.close

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primal thicket Apr 13, 2022, 5:00 AM

#

question: state exact value of Tan(2pi/3) without using calculator

lone heartBOT Apr 13, 2022, 5:00 AM

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primal thicket question: state exact value of Tan(2pi/3) without using calculator

primal thicket Apr 13, 2022, 5:00 AM

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this is what im doing

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tan(theta) = sin(theta)/cos(theta)

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and when i compute sin(2pi/3) and cos(2pi/3)

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only cos(2pi/3) is -pi/6

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why isnt sin(2pi/3) = -pi/6

wary stream Apr 13, 2022, 5:03 AM

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Because cos is the x direction

barren olive Apr 13, 2022, 5:03 AM

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just use the tan(A+B) rule

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in this case Tan(2A)

wary stream Apr 13, 2022, 5:03 AM

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2pi/3 is in quadrant 2

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Using the unit circle, you'll observe that cos is -pi/6

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And sin is positive

primal thicket Apr 13, 2022, 5:05 AM

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jsut to make sure, quadrant 2 is the top right of the circle?

wary stream Apr 13, 2022, 5:06 AM

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Top left

primal thicket Apr 13, 2022, 5:06 AM

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ahhh

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ok this makes sense

barren olive Apr 13, 2022, 5:06 AM

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quadrant 2 , = pi/2 to pi

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ASTC is good way to remember whats gonna be positive in what quadrant

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A means all

primal thicket Apr 13, 2022, 5:08 AM

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i see

#

thanks!

#

.close

lone heartBOT Apr 13, 2022, 5:08 AM

#

Channel closed

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alpine sable Apr 13, 2022, 5:11 AM

#

lone heartBOT Apr 13, 2022, 5:11 AM

#

alpine sable

alpine sable Apr 13, 2022, 5:11 AM

#

@timid heath

timid heath Apr 13, 2022, 5:11 AM

#

ok, have you learned the process where you look for if the top or bottom of the fraction has a higher power?

alpine sable Apr 13, 2022, 5:12 AM

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yeah i think so

timid heath Apr 13, 2022, 5:12 AM

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so what kind of situation is it in part 1

alpine sable Apr 13, 2022, 5:12 AM

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the power is greater in the denominator than numerator

timid heath Apr 13, 2022, 5:12 AM

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yup

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and what does that imply about convergence/divergence?

alpine sable Apr 13, 2022, 5:13 AM

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therefore it converges?

timid heath Apr 13, 2022, 5:13 AM

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oh sorry. It's a bit more complicated than I thought. You're dealing with sums

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I was just thinking limit of a sequence

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okay, it's still not too bad

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try breaking up that fraction over the +

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and simplify

alpine sable Apr 13, 2022, 5:14 AM

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n/n^(2) + 7/n^(2)

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1/n + 7/n^(2)

timid heath Apr 13, 2022, 5:15 AM

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correct

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now do you remember learning something about the infinite sum of 1/n ?

alpine sable Apr 13, 2022, 5:15 AM

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it diverges?

timid heath Apr 13, 2022, 5:15 AM

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yup

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so the whole thing also diverges

alpine sable Apr 13, 2022, 5:16 AM

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ok so from the choices at the top it would be A?

timid heath Apr 13, 2022, 5:16 AM

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yup

#

your series is strictly greater than series A, which is known to diverge

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so by comparison test yours diverges

alpine sable Apr 13, 2022, 5:16 AM

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Ok!

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For 2 it's D and it converges right?

timid heath Apr 13, 2022, 5:17 AM

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yea nice

alpine sable Apr 13, 2022, 5:18 AM

#

#

ok i just got all of them correct

timid heath Apr 13, 2022, 5:18 AM

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excellent

alpine sable Apr 13, 2022, 5:18 AM

#

#

ok for this one what do i do when there is 2 n terms in demonominator?

timid heath Apr 13, 2022, 5:21 AM

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the general idea is to figure out if it's strictly greater or smaller than one of those you're comparing it with

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so the exact number of terms doesn't matter

#

things like + or - matter

alpine sable Apr 13, 2022, 5:22 AM

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ok for the first one is it D and converges?

timid heath Apr 13, 2022, 5:23 AM

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there's a better match for it than D

alpine sable Apr 13, 2022, 5:25 AM

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is it C

timid heath Apr 13, 2022, 5:27 AM

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no, it's B

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the series 1/(n^2 + n + 1) is similar to 1/n^2, they both have the same highest power

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but each term of 1/(n^2 + n + 1) is strictly less than the corresponding term of 1/n^2

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because n^2 + n + 1 > n^2

alpine sable Apr 13, 2022, 5:30 AM

#

timid heath because n^2 + n + 1 > n^2

then how is each term of 1/(n^2 + n + 1)

#

less than

#

?

timid heath Apr 13, 2022, 5:31 AM

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because having a greater bottom means the overall fraction is smaller

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like 1/5 < 1/4

alpine sable Apr 13, 2022, 5:34 AM

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i see

#

ok i solved all the problems on that page

#

#

is the power rule the same thing as well

#

i can just ignore it?

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for #2

timid heath Apr 13, 2022, 5:40 AM

#

try to rearrange it so it's more directly comparable to one of those four

#

splitting the fraction up over the top often helps

alpine sable Apr 13, 2022, 5:41 AM

#

so like n/n^2 + 2/1

timid heath Apr 13, 2022, 5:50 AM

#

yeah

#

well not quite

#

n/(n+1)^2 + 2/(n+1)^2

#

it might help to do a change of variable

#

let m = n + 1

#

then it can be written (m+1)/m^2

#

that's 1/m + 1/m^2

lone heartBOT Apr 13, 2022, 5:59 AM

#

@alpine sable Has your question been resolved?

alpine sable Apr 13, 2022, 6:00 AM

#

I see thank you

lone heartBOT Apr 13, 2022, 6:00 AM

#

Channel closed

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lone heartBOT Apr 13, 2022, 7:17 AM

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• After 15 minutes, feel free to ping <@&286206848099549185>.
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warm latch Apr 13, 2022, 7:23 AM

#

how do you do this like the sulotion?

lone heartBOT Apr 13, 2022, 7:23 AM

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warm latch how do you do this like the sulotion?

drowsy lagoon Apr 13, 2022, 7:24 AM

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Do you understand what is perpendicular?

warm latch Apr 13, 2022, 7:24 AM

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yes

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90 degrees

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but I dont see square so idk

drowsy lagoon Apr 13, 2022, 7:25 AM

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Do you know what does this symbol means?

warm latch Apr 13, 2022, 7:25 AM

#

perpendicular?

drowsy lagoon Apr 13, 2022, 7:26 AM

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Yes

warm latch Apr 13, 2022, 7:26 AM

#

oh

drowsy lagoon Apr 13, 2022, 7:26 AM

#

so, now read the question again

warm latch Apr 13, 2022, 7:26 AM

#

then 2x is 90?

drowsy lagoon Apr 13, 2022, 7:26 AM

#

no

warm latch Apr 13, 2022, 7:26 AM

#

or x = 90

drowsy lagoon Apr 13, 2022, 7:26 AM

#

BA ⊥ BC

warm latch Apr 13, 2022, 7:26 AM

#

ye

drowsy lagoon Apr 13, 2022, 7:27 AM

#

and ⊥ means perpendicular

warm latch Apr 13, 2022, 7:27 AM

#

oh then

#

BA = 90

#

?

drowsy lagoon Apr 13, 2022, 7:27 AM

#

no

warm latch Apr 13, 2022, 7:27 AM

#

drowsy lagoon BA ⊥ BC

then those 2

#

is

#

perpendicular

drowsy lagoon Apr 13, 2022, 7:27 AM

#

BA and BC is perpendicular

#

This means angle between BA and BC is 90

#

also known as angle ABC is 90

warm latch Apr 13, 2022, 7:28 AM

#

then

#

what is

#

BA

#

Now

#

2x or 90

#

or

#

div?

drowsy lagoon Apr 13, 2022, 7:29 AM

#

BA is just the side though

#

there is no angle in BA

#

BA is just a straight line

warm latch Apr 13, 2022, 7:29 AM

#

ye

drowsy lagoon Apr 13, 2022, 7:29 AM

#

There is no angle in a straight line

warm latch Apr 13, 2022, 7:29 AM

#

so

#

X = 42?

#

or no

drowsy lagoon Apr 13, 2022, 7:30 AM

#

how do you get x is 42?

warm latch Apr 13, 2022, 7:30 AM

#

i did

#

2x/2 90/2

#

= 42

drowsy lagoon Apr 13, 2022, 7:31 AM

#

do you realise that angle ABD + angle DBE + angle EBC = angle ABC?

warm latch Apr 13, 2022, 7:32 AM

#

ok

drowsy lagoon Apr 13, 2022, 7:32 AM

#

so now angle ABC is 90

warm latch Apr 13, 2022, 7:32 AM

#

so

#

the x was 90 or 2x

#

since

#

A and C

#

a= 2x

#

and c is x

drowsy lagoon Apr 13, 2022, 7:33 AM

#

angle ABD + angle DBE + angle EBC = angle ABC
2x + 30 + x = 90

warm latch Apr 13, 2022, 7:34 AM

#

so uh

#

how do

#

I find out

#

what is

#

X

#

do I subtract those 2?

#

or 30 - 90

#

then div

#

2x

#

to 60

#

2x/2 60/2 = 30

#

is that X?

drowsy lagoon Apr 13, 2022, 7:35 AM

#

wrong

warm latch Apr 13, 2022, 7:35 AM

#

HM

#

then how

drowsy lagoon Apr 13, 2022, 7:35 AM

#

warm latch 2x

there is 2x and x there

warm latch Apr 13, 2022, 7:36 AM

#

ye

#

oh yea

#

i forgot

#

I am finding X

#

uhhhhhhhhhhhhhhhhhhhhhhh

drowsy lagoon Apr 13, 2022, 7:36 AM

#

okay

warm latch Apr 13, 2022, 7:36 AM

#

then how do I find

#

what do I do?

#

do I add

#

wait

#

180?

#

then

#

30

#

150

#

then I division to 2?

#

then 75?

drowsy lagoon Apr 13, 2022, 7:38 AM

#

drowsy lagoon angle ABD + angle DBE + angle EBC = angle ABC 2x + 30 + x = 90

back to here

#

2x + 30 + x = 90

warm latch Apr 13, 2022, 7:38 AM

#

yeah

#

then

drowsy lagoon Apr 13, 2022, 7:38 AM

#

2x + x = 3x

warm latch Apr 13, 2022, 7:38 AM

#

oh

drowsy lagoon Apr 13, 2022, 7:38 AM

#

so 3x +30 = 90

warm latch Apr 13, 2022, 7:38 AM

#

3x

#

but the X

#

how

drowsy lagoon Apr 13, 2022, 7:39 AM

#

3x + 30 = 90
3x = 90 - 30
3x = 60
3x/3 = 60/3
x = 20

warm latch Apr 13, 2022, 7:39 AM

#

OH

#

i was close

#

dang

drowsy lagoon Apr 13, 2022, 7:40 AM

#

hmm

warm latch Apr 13, 2022, 7:40 AM

#

i answered 60

#

oh thats why

#

I divided by 2

#

not 3

#

lol

#

thanks

drowsy lagoon Apr 13, 2022, 7:40 AM

#

okay

#

welcome

warm latch Apr 13, 2022, 7:40 AM

#

btw how would I find

#

degrees

#

wait

#

abd is

#

2x

#

how do I turn to degrees?

#

2x to degrees

drowsy lagoon Apr 13, 2022, 7:42 AM

#

now x is 20

#

it means one x is 20

#

two x = 2x

#

so 2x is?

warm latch Apr 13, 2022, 7:43 AM

#

3x?

#

?

drowsy lagoon Apr 13, 2022, 7:43 AM

#

x = 20
2x = 2(x)
2x = 2(20)

warm latch Apr 13, 2022, 7:44 AM

#

ohh

#

so 2(20)

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but degree

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do I add?

drowsy lagoon Apr 13, 2022, 7:44 AM

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yes

warm latch Apr 13, 2022, 7:44 AM

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22 degrees?

drowsy lagoon Apr 13, 2022, 7:44 AM

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degree is just the symbol

warm latch Apr 13, 2022, 7:44 AM

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yes

drowsy lagoon Apr 13, 2022, 7:44 AM

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40 is correct

warm latch Apr 13, 2022, 7:44 AM

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but idk where is that symbol

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ohh

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yea

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THANKS

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FOR GUIDING ME

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SENSEI 😭

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thank you!

drowsy lagoon Apr 13, 2022, 7:45 AM

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try to practice more on algebra

warm latch Apr 13, 2022, 7:45 AM

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yee

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I am kinda bad

drowsy lagoon Apr 13, 2022, 7:45 AM

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algebra is super important

warm latch Apr 13, 2022, 7:45 AM

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at it

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yeah for college

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i am highscholler

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highschool

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thanks btw

drowsy lagoon Apr 13, 2022, 7:47 AM

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you are welcome

warm latch Apr 13, 2022, 7:47 AM

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ty ty

lone heartBOT Apr 13, 2022, 8:02 AM

#

@warm latch Has your question been resolved?

lone heartBOT Apr 13, 2022, 8:17 AM

#

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lone heartBOT Apr 13, 2022, 8:39 AM

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agile yarrow Apr 13, 2022, 8:43 AM

#

Hey, with some help of the community yesterday i got closer to a solution i guess but im stuck again. Im trying to solve for y for the following equation: x=(1-0.5^y)^(1/y)
Currently i have: x^y+0.5^y=1 (added some intermediate steps in the screenshot). Now the problem is that i know of no ln propery or exponent property that could help me out here. Does anyone have a idea on where i went wrong / where to go from here?

Screenshot_20220413_103800_com.desmos.calculator.jpg

lone heartBOT Apr 13, 2022, 8:44 AM

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agile yarrow Hey, with some help of the community yesterday i got closer to a solution i gues...

#

@agile yarrow Has your question been resolved?

agile yarrow Apr 13, 2022, 9:11 AM

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Since this doesn't seem to be easily resolved i dont want to occupy this channel any longer. Ill try again later. If anyone in the meantime finds a solution to my question feel free to dm me :)

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.close

lone heartBOT Apr 13, 2022, 9:11 AM

#

Channel closed

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alpine sable Apr 13, 2022, 9:14 AM

#

Area of a pls

Screen_Shot_2022-04-13_at_7.06.43_pm.png

lone heartBOT Apr 13, 2022, 9:14 AM

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alpine sable Area of a pls

drowsy lagoon Apr 13, 2022, 9:21 AM

#

lone heartBOT Apr 13, 2022, 9:29 AM

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@alpine sable Has your question been resolved?

alpine sable Apr 13, 2022, 9:35 AM

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drowsy lagoon

I got 1590

drowsy lagoon Apr 13, 2022, 9:36 AM

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correct

alpine sable Apr 13, 2022, 9:37 AM

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Thank you

lone heartBOT Apr 13, 2022, 10:07 AM

#

@alpine sable Has your question been resolved?

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pale arch Apr 13, 2022, 10:18 AM

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hellooooo i need help w writing this logarithm

lone heartBOT Apr 13, 2022, 10:18 AM

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pale arch hellooooo i need help w writing this logarithm

pale arch Apr 13, 2022, 10:19 AM

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it seems simple enough but its not accepting any of my answers (log2 3, log2 3y, log2 3y^2)

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nvm got it

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.close

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lone heartBOT Apr 13, 2022, 10:45 AM

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night sigil Apr 13, 2022, 10:46 AM

#

quick question is the inequality sign meant to be reversed when taking the negative square root?

lone heartBOT Apr 13, 2022, 10:46 AM

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night sigil quick question is the inequality sign meant to be reversed when taking the negat...

plucky lynx Apr 13, 2022, 10:47 AM

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night sigil quick question is the inequality sign meant to be reversed when taking the negat...

No. K is already greater that positive or negative sqrt(1/4).

gray ingot Apr 13, 2022, 10:47 AM

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if there are no steps above what you sent then its not meant to be reversed

night sigil Apr 13, 2022, 10:47 AM

#

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so this would be right?

plucky lynx Apr 13, 2022, 10:49 AM

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night sigil

How did you get -1/2 <= k <= 1/2? What you have above that is fine.

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It should be k <= 1/2.

gray ingot Apr 13, 2022, 10:50 AM

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thats what they wrote

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its correct

night sigil Apr 13, 2022, 10:50 AM

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this is what's in the solution to the questions

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the range of k is that exluding 0

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I just want to know if it's always true that the inequality sign should be reversed when taking a negative square root

gray ingot Apr 13, 2022, 10:53 AM

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night sigil quick question is the inequality sign meant to be reversed when taking the negat...

what you wrote here is wrong

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in that you weren't supposed to change the sign

night sigil Apr 13, 2022, 10:53 AM

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yes I wrote it wrong to begin with I think sorry

gray ingot Apr 13, 2022, 10:54 AM

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however if it was k^2 > 1/4 then what you did is correct, but avoid writing k > +-a

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because k^2 > a
doesn't imply k > +- a

night sigil Apr 13, 2022, 10:55 AM

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well it's a square root

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don't those usually have a positive and negative solution

gray ingot Apr 13, 2022, 10:55 AM

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yes they do
k^2 > a
implies k > sqrt(a) or k < -sqrt(a)

night sigil Apr 13, 2022, 10:56 AM

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ah ok that makes sense

gray ingot Apr 13, 2022, 10:56 AM

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k > +- sqrt(a) is wrong

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because if k > -sqrt(a) then it has to be greater than sqrt(a)

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and k^2 > a doesn't mean k > -sqrt(a)

night sigil Apr 13, 2022, 10:57 AM

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yes

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thank you

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.close

lone heartBOT Apr 13, 2022, 10:57 AM

#

Channel closed

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lone heartBOT Apr 13, 2022, 11:18 AM

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frigid hatch Apr 13, 2022, 11:29 AM

#

quick question, let's say this graph represents a car moving, would I be right if I said that on t=0 the car is still?

lone heartBOT Apr 13, 2022, 11:29 AM

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frigid hatch quick question, let's say this graph represents a car moving, would I be right i...

bitter vault Apr 13, 2022, 11:35 AM

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frigid hatch quick question, let's say this graph represents a car moving, would I be right i...

yes. this is a displacement-time graph, and the gradient is the speed. at t = 0, the gradient is 0 and so the car is momentarily at rest

frigid hatch Apr 13, 2022, 11:38 AM

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what about t=10

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it should be still there too, no?

bitter vault Apr 13, 2022, 11:56 AM

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frigid hatch it should be still there too, no?

No, the gradient is not zero there

alpine sable Apr 13, 2022, 11:57 AM

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bitter vault No, the gradient is not zero there

hey i got a quick question would u mind answering it?

alpine sable Apr 13, 2022, 11:57 AM

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frigid hatch quick question, let's say this graph represents a car moving, would I be right i...

is this displacement or distance

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the y axis

frigid hatch Apr 13, 2022, 11:59 AM

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bitter vault No, the gradient is not zero there

neither it is on t=0 then?

bitter vault Apr 13, 2022, 12:00 PM

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frigid hatch neither it is on t=0 then?

gradient is zero at t=0

bitter vault Apr 13, 2022, 12:00 PM

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alpine sable is this displacement or distance

it's displacement. if it were distance it would be non-decreasing

frigid hatch Apr 13, 2022, 12:03 PM

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ok

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last thing

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would the gradient on t=10 equal 0?

bitter vault Apr 13, 2022, 12:08 PM

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frigid hatch would the gradient on t=10 equal 0?

No. The tangent needs to be horizontal

frigid hatch Apr 13, 2022, 12:09 PM

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or vertical?

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like in this case

lone heartBOT Apr 13, 2022, 12:24 PM

#

@frigid hatch Has your question been resolved?

lone heartBOT Apr 13, 2022, 12:39 PM

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lone heartBOT Apr 13, 2022, 1:16 PM

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#

pulsar aspen Apr 13, 2022, 1:20 PM

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Equalize the denominator

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Find the smallest common multiple of 5 and 9

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Wait, there is a closed form formula:

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a/b + c/d = (ad+bc)/bd

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But then you need to simplify the fraction

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Okay, identify the a b c and d

alpine sable Apr 13, 2022, 1:25 PM

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bitter vault yes. this is a displacement-time graph, and the gradient is the speed. at t = 0,...

yeh thats what I was wondering since you said this is a distance time graph

pulsar aspen Apr 13, 2022, 1:26 PM

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alpine sable yeh thats what I was wondering since you said this is a distance time graph

Sorry, but the problem has been long since closed

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At 8th degree you should be already familiar with the concept of variable

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Okay, let's use the common multiple method algorithm instead

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Some people will find the formula easier, that's why I included that.

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You already got the common multiple 45, right, then, make both of the denominator 45

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You know how to change denominator, right?

wary stream Apr 13, 2022, 1:36 PM

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See if this helps
https://www.khanacademy.org/math/cc-fifth-grade-math/imp-fractions-3/imp-adding-and-subtracting-fractions-with-unlike-denominators/v/adding-small-fractions-with-unlike-denominators

Khan Academy

Adding fractions with unlike denominators (video) | Khan Academy

Sal adds fractions like 3/4 and 1/5.