#help-0

1 messages · Page 642 of 1

gray isle
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the right side is the constant -1 only

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with no U terms

alpine sable
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(A+B)U^4 + CU^3 + DU^2 + EU + A = -1

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isnt that this?

gray isle
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so you want your constant term on the left to be -1
and all the coefficients of terms with U to be 0

alpine sable
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so a=-1

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so b = -1

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is that what u mean?

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if thats what u mean thats kinda crazy tho

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wait no that cant be it can it?

gray isle
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b isn't -1

alpine sable
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because A + B needs to equal 0 tho right?

gray isle
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yes

alpine sable
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and a is -1

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A is constant term tho?

gray isle
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yes

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that edit

alpine sable
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so b must be +1 no?

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ohh

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i mistyped

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b is +1 yea

gray isle
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yes

alpine sable
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so its $\frac{-1}{u} + \frac{u^3}{u^4+1}$

ocean sealBOT
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The Torrent

gray isle
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(ur probably used to something like heaviside for linear factors, for denominators with higher degrees, it'll involve equating coefficients like this)

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yes

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and you should know how to integrate these

alpine sable
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tbf

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im tryna think how to do that

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oh would you just do it by parts maybe

clever locust
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You're trying to integrate it?

alpine sable
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yea

clever locust
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Think about how u⁴ and u³ are related

alpine sable
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1 power lower

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but the +1

gray isle
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derivative of a constant is ?

clever locust
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What do you usually do when you have one power lower like that?

alpine sable
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ohhhhhhhhh looolllll

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alright great, thanks for the help guys i really appreciate it lool i think i need a bit of a break after that

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that was kinda fun tbf

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Guys can i ask a question

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Not really homework or anything

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I have an exam out of /60 but they have to convert the 60 to 80

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How do you do that

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So basically how do you convert 60 to 80

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divide by 60 x by 80

gray isle
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multiply numerator and denominator of your marks by
80/60

sand lichen
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One fraction divides into another fraction 3 1/4 times. List two possible pairs of fractions and show your work.

alpine sable
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Alright thanks guys

young finch
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multiply the probability of picking a non heart

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so something like $$39/5238/5137/50$$

ocean sealBOT
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Arctic

young finch
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and just keep going until you have your 8

sand lichen
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is this channel free now

oak chasm
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@sand lichen Sorry, it's still busy.

young finch
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no, keep going until you have 8 fractions and then multiply them to find the probability

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idk

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im guessing thats ax+b?

ocean sealBOT
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Chai T. Rex

young finch
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oh

oak chasm
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@severe timber Well, you have how many ways to arrange the Americans in their group?

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In part b.

alpine sable
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Yo wtf is this new math discord pic

oak chasm
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No, inside their group.

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You have five people inside their group.

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How many ways is there to arrange 5 people?

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Nope. How did you do part a?

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You have 15 people to arrange in part a.

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How did you do that?

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Why are you using 15! for 15 people and 5 for 5 people?

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You seem to be using two different methods for the same thing.

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Right.

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How many ways are there for Canadians within their group?

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@wild talon Sorry, channel is busy.

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@severe timber OK, how many ways are there of arranging the Mexicans within their group?

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OK, so now you figure out how many ways there are to combine the groups.

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You can have
AAAAACCCMMMMMMM
AAAAAMCCCMMMMMM
and so on.

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The Mexicans can go anywhere, but the Americans and Canadians have to stay together, right?

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No.

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Pretend the Americans are one group, the Canadians are one group, and the Mexicans are 7 groups that can move around.

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So, we have 9 groups that can move around, right?

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So start off with none of the groups placed yet.

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Then place the Americans. That's 9 positions to choose from.

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Then place the Canadians. That's 8 positions left to choose from.

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Then place the Mexicans. That's 7 positions left to choose from.

ocean sealBOT
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Chai T. Rex

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Chai T. Rex

oak chasm
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Let me double check.

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Sorry, part b was wrong.

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Oh, wait.

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Maybe not.

stuck plaza
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doh thx

candid ridge
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Find x (i dont even know how to solve)

oak chasm
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@candid ridge Sorry, channel is busy.

candid ridge
sand lichen
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is this free now

oak chasm
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It's probably wrong. Sorry, I can't help.

ionic jewel
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are the countrymen unique to each other?

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eg are all the americans interchangable

dark gazelle
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can anyone explain how u do this, markscheme made no sense to me

ionic jewel
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split it into 3 sums then follow sum rules for the different forms

dark gazelle
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split into 3 sums?

ionic jewel
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you can split it on the addition

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i dont feel like typing the latex but I can if you dont understand

dark gazelle
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nws

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i just havent seen like that type of thing been done in sequences questions before

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usually its just like find what the first term and common difference is then use the equation

ionic jewel
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S(r->16) 3 + S(r->16) 5r + S(r->16) 2^r

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and you can evaluate all 3 individually

wet fulcrum
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see the number of ways if all of them are unique people is just the total number's factorial

dark gazelle
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ok, thank u

rich haven
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i got 4 as one of the scenarios i need help finding the other one

outer elm
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how did you get 4

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in one the ratio is 1/3
in one the ratio is 1/4

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@rich haven

rich haven
outer elm
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yeah yeah

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the other its 9/4

rich haven
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how do u get 9/4 though

outer elm
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you flip the angles

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you say that angle aed = acb

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so the ratio is 3/12 = 1/4
so x /9 = 1/4
x = 9/4

amber python
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Hey everyone I have this one last assignment and I don’t understand anything on it can someone help me please?

gritty veldt
amber python
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I tried to get help from the teacher but like I still am blank and I need this to graduate

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It’s killin me

outer elm
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just

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substitute each point and see if you get the same y

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is yes then its the answer

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@amber python

trim hull
jagged trout
# trim hull

Is this the complicated form for: Which point is on the graph?

trim hull
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there's 2 of them that are on the graph

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0,-4 and 4,-2

outer elm
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you have to find the equation for the line on the graph

outer elm
trim hull
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found it

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0, -4

outer elm
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no man

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the slope

trim hull
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my teacher didn't teach us this 😦

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oh

jagged trout
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f: x -> mx + b

m = delta y / delta x

trim hull
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y then

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x

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4, -2

amber python
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@outer elm Thankyou so much man 🙂 helps a lot

outer elm
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Idk if you're being sarcastic or not

trim hull
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this is slope

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change in y divided by change in x

outer elm
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Yeah

trim hull
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so its 4, -2 right

outer elm
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What did you get

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Its 1 number man

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The slope is a number

trim hull
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Line will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?
A
(0,−4)
B
(−2,4)
C
(4,−2)
D
(2,−4)(

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this is our options

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for the answer

oak chasm
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@severe timber Sorry for earlier, I figured out where I was going wrong checking it, and part b was correct.

jagged trout
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@trim hull the function is: f(x) = -x + 2
try the points and look which one's give you a correct answer

oak chasm
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@trim hull You have a system of equations. What are the equations?

trim hull
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i found the answer

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its 4, -2

jagged trout
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@oak chasm look on the picture. There's a linear function. I think he only should answer which points are on the graph

trim hull
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idk my teacher doesn't teach

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she gives videos and then trys to explain but dosen't know

oak chasm
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@jagged trout The instructions say "system of equations". The instructions provide an equation. The graphed line provides a different equation.

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@trim hull Yes, that's the correct answer.

jagged trout
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@oak chasm maybe the picture is not for this question? But in the Question there is a equitaion f(x) = -x + 2
And now come only points a answers. Which else should it be?

oak chasm
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@jagged trout System of equations means more than one equation.

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So, if it's not the graphed line, what's the other equation?

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Also, two of the answers fit the equation you said.

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@trim hull Are you done with this channel?

jagged trout
trim hull
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but u can only pick one answer

oak chasm
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@jagged trout Now look to the right. See where it says system of equations with an s. In English, s is used to pluralize something.

jagged trout
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Two answers, plural

oak chasm
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"the solution"

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Singular.

jagged trout
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Anf the teacher can write bullshit in the question too

oak chasm
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You said two answers, the question says "the solution".

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So, no.

smoky hearth
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anyone need help

oak chasm
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The question also says "system of equations", with equations plural.

jagged trout
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then maybe they mean the intersect between the two graphs

oak chasm
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Right.

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,w y = -x + 2 and y = 1/2 x - 4

ocean sealBOT
oak chasm
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No, the answer is c.

jagged trout
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Then:
((-2 + 4) / (4 - 0)) * x - 4 = -x + 2

oak chasm
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No, b doesn't work.

jagged trout
wet fulcrum
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dude he didnt send the graph i guess

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in #help-2 theres a graph that rules out the posibillity of option b

jagged trout
# wet fulcrum

nah, he send it, the question is only solala.
Here the question would be: Where's the intersect between the showed graph and the graph of -x + 2

wet fulcrum
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yea question was kinda vague

jagged trout
still crest
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sorry if this is busy

noble sinew
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find out how many ways we can form 2-digit number using all 10 digits without replacement where the first digit is greater than 1 and last is less than 8

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then apply that to calculate it in total for 10-digit

still crest
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So you say we exclude the first and last digit from the 10 digit number?

jagged trout
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First of all, how many ways do you have to make a 10 digit number?

still crest
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10!

noble sinew
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no you only look at the 1st and last number

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so a 2 digit number with the restraint

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then once we know how much that is we can easily find the answer for 10-digit

still crest
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Let me try it

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So the first digit can take 8 out of the 1 digits

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Right?

jagged trout
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yes

still crest
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And the last digit only 7?

noble sinew
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remember double counting could happen

still crest
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What does that mean?

jagged trout
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yes, but you must take without redraw

noble sinew
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well if the first digit was 2 then the 2nd digit can't be 2 so there is only 6 digits left then

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however if first digit was 9 then the 2nd digit can be 7 different ones

still crest
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I will make the boxes to visualize it easier

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Just a minute

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The first box can take 8 digits, the last 7 because we already took a number from the list

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Is this correct?

noble sinew
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not sure what the box thing is supposed to represent

still crest
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How many digits can each digit of the number

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We have a 10-digit-number

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My logic is that if the first box can take 8 (0 and 1 excluded) the last box can take 7 (8 and 9 and the number of 1st box excluded too)

jagged trout
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the last can take 0, 1 also

still crest
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But it can't take 8 and 9

noble sinew
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if you come up with a result I can check it - still not sure what the box thing is supposed to do

jagged trout
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So for the first you can take 8 from 10 and for the last 8 from 10

still crest
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Because we already have a number from the 1st one

jagged trout
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when the first digit is a 9, why can I only take 7 from 10 from the last?

noble sinew
still crest
minor dagger
noble sinew
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so... for the 2 digit number?

still crest
minor dagger
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ok

still crest
still crest
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I didn't quite get it

noble sinew
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I told you to calculate it for 2-digit number because then it is just 8!* x

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how many ways can we make a 2-digit number where 1st number is greater than 1 and 2nd number is less than 8

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call that number x then multiply it by 8! and you got the answer

still crest
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The 2nd digit can take 7?

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Move to another channel

jagged trout
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b = -3

still crest
jagged trout
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4b + 3 = -9 | -3
4b = -12 | :4
b = -3

noble sinew
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if 1st number is 2 then 2nd number can't be 2. So 2nd number can only be 0,1,3,4,5,6,7

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(oh meant 7 ofc)

still crest
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So 8 digits for the 1st one

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And 7 for second

noble sinew
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no still if 1st number is 9 then 2nd number can be 8 different ones

still crest
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So what do I do about it?

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I'm not sure

noble sinew
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can calculate compliment or split it up into for 1st number being between 1 and 7 we have: and for 1st number being between 8 and 9 we have:

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then sum of those 2

still crest
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Hmm let me try that

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You mean 2 to 7 right?

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It can't take 1

noble sinew
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ye

still crest
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Okay that's the correct answer

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I understood it, thank you!

noble sinew
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yep np - another way was 10! minus stuff that can't happen (so 1st number being 0 for example) but imo this way easier

still crest
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With that way we have a lot of cases tho right?

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I'm not sure how it could work though

noble sinew
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so 10! minus 1st number being 0,1 minus last number being 8,9,10 plus 1st number being 0,1 and last number being 8,9,10 (inclusion-exclusion principle)

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and when I say minus 1st number being 0,1 I ofc mean ways that can happen and same for last number

still crest
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Okay the other way is much more understandable

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Alright, thanks again

jagged trout
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is this at the end not only something like:
(10 over 7) * (7 over 3) ?

glass lichen
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10 over 7, is that attempted notation for binomial co-efficients?

jagged trout
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yes

glass lichen
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10C7

still crest
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We didn't learn that yet

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I mean we have, but we aren't supposed to use it

jagged trout
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You can use it for the question, how many combination are there to take 6 balls from 49 without redraw

still crest
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My thought is that we have 10 digits, 24 words.
We have 2 cases because it says 1 **OR **2 digits.
We count how many codes are formed for each case and we add them.

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Did I miss anything?

noble sinew
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inclusion-exclusion - you are counting stuff double if you just do that

still crest
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That's what I was afraid of:/

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I have an idea

noble sinew
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namely when both duplication of digits and duplication of letters

still crest
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Could we separate digits from letters since they will not merge in the code

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We won't have for example A B 1 C 3 D

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2 numbers or 1 are always on the front

timid wind
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is there a calc for modulo arithemtic

still crest
timid wind
#

k

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thanks

noble sinew
timid wind
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how do u solve something like this 2^70 + 3^70 mod 13

noble sinew
noble sinew
timid wind
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whats that

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wait nvm

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u mean little right

noble sinew
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oh ye

timid wind
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but where u get the prime number from

noble sinew
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mod 13 - 13 is a prime isn't it?

timid wind
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hu

still crest
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So something weird, I only found the result of the code but I didn't add the case that it's only 1 digit on the front

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How did that happen?

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I mean the result is the result of the answer

jagged trout
obsidian marsh
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i need to double integrate in the region between a and b

ionic jewel
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ok

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sounds like a job for polar tbh

obsidian marsh
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can i describe this in the polar form 0<=r<=a-b

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?

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or do i need to integrate both regions and calculate the difference?

ionic jewel
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b<=r<=a

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theta from 0 to 2pi

obsidian marsh
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ohhh

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nice

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thanks

ionic jewel
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or 0 to whatever

obsidian marsh
ionic jewel
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sure

obsidian marsh
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because i only want 90 degrees

ionic jewel
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yea thats right

obsidian marsh
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nice

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thank you

jagged trout
#

@timid wind
first of all, it would be nice, when we have only one basis
maybe we can rewrite something?
3^70 = 3^60 * 3^10 = (3^3)^(60 / 3) * 3^10 = 27^15 * 3^10 BUT 27 in mod 13 is 1
3^10 = 3 * 3^9 = 3 * 27^3 = 3 * 1 = 3
so 3 is congruent 3^70 mod 13

echo pike
#

can anyone help me with this homework real quick?

grand drift
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how would i do this?

wooden crag
grand drift
#

k

wooden crag
# echo pike

find the volume of the sphere and subtract it from the volume of the cylinder and you'll get the packaging

cinder mirage
#

what is the square route of 121

wooden crag
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what number squared gives you 121?

obsidian marsh
#

$\int_{0}^{\pi/2} \int_{b}^{a} sin(r^2)rdrd\theta$

ocean sealBOT
#

bortoletto

obsidian marsh
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@ionic jewel

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does this look right to you

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i converted this to polar form:

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$sin(x^2+y^2) = sin(r^2)$

ocean sealBOT
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bortoletto

ionic jewel
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$\int_0^{\frac{\pi}{2}}\int_b^a \sin(r^2)r , dr,d\theta$

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yeah looks good

obsidian marsh
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why a to b?

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a>b tho

ocean sealBOT
ionic jewel
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:)

obsidian marsh
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nice, thanks

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you are a good person

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the world got a little bit better when you were born

clever locust
#

Yeah try a proof by contradiction

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It's been a while since I did supremum proofs, and I have only ever done a few, but if I recall correctly, the general idea is to suppose that sup M is not the least upper bound and show that this leads to a contradiction

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Don't think I can help you more than that sadly

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This doesn't do it though. Here's you're saying that 3 - epsilon is not an upper bound of M

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Which holds if the least upper bound is sup M

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So this won't lead to a contradiction

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If I'm not mistaken

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Ah right

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Yeah that could work

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Not sure, haven't done these proofs in a while and can't really recall what to do sadly

ashen berry
#

could someone teach me how to do the questions on these I dont want any answers I just want to learn how to do them

clever locust
#

Ask somewhere that's not busy

steep steeple
#

can anyone here help me graph an ellipse

young arch
#

yeah

steep steeple
#

oh

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ok

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should i post the question here?

clever locust
#

No, post somewhere not busy

steep steeple
#

this doesn't seem busy though

winter mountain
#

wait

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@steep steeple

steep steeple
#

yea

winter mountain
#

you already got an answer

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dont

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i said remove the does anyone know

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and insert into google

tall oasis
#

guys i need help for my finals

winter mountain
#

a great explanation

steep steeple
tall oasis
#

CIVIC READINESS: TOPIC 2 TASK

  1. Choose a district that you suspect may have been gerrymandered. Find a map of this district.
  2. Use the map to compute the measures of compactness: Harris, Convex Hull, Polsby-Popper (or
    Isoperimetric), and Reock. Show your methods and calculations clearly.
  3. Find recent election data from your district. Use this data to compute the Efficiency Gap for
    your district.
  4. Bonus: Research other information on your district (Has it been recently re-drawn, have
    researchers investigated it, what proportions are the voters in, what is the racial/ethnic
    breakdown).
  5. Design a presentation arguing whether or not you suspect your district is gerrymandered. Cite
    your calculations in supporting your reasons.
  6. Present your finding in 3-5 minutes. Include visuals that demonstrate how you computed the
    gerrymandering measures. Presentation could be a report, poster, powerpoint, etc.
  7. Your goal is to demonstrate your understanding of gerrymandering and the measures that are
    used to identify it.
#

like what am i supposed to do

pallid trout
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Understand what gerrymandering is, and what measures exist to identify it. Then use what you've learned to do 1,2,3

obsidian marsh
#

if i'm double integrating over a square region, i can change the order of integration just by switching out dy and dx, right?

median coyote
#

is there off-topic/general?

clever locust
vast ore
#

hwo would we solve this dumb problem

devout tundra
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Yes they collide before touching the ground, they collide in 30 minutes and are 400 M above ground @vast ore

vast ore
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im confused

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wat would the equations be?

devout tundra
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Uh

vast ore
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how did u find that out>?

devout tundra
#

I just did it in my head

wooden crag
#

normal linear equations, just obfuscated through the dumb setup

devout tundra
#

Idk

vast ore
#

but i need to show the work

devout tundra
#

..

wooden crag
#

do you know how to write linear equations?

vast ore
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can u tell me wat the equations r, its a practice test

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i do

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i havent seen this format

devout tundra
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Iron shiek is at 1000 m and other one is at 700

vast ore
#

yes

wooden crag
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the slope of iron sheikh's is -20
with a y intercept of 300

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use intercept form to write that into a linear equation

vast ore
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ok

devout tundra
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Yeah whatever he said

vast ore
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wouldnt the y intercept be where he started as in 1000

wooden crag
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actually wait the y intercept is at 1000
ye

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my bad, didn't read the second part

vast ore
#

thank you man

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big help

devout tundra
wooden crag
#

once you figure out the two equations, graph them

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and from the two lines

vast ore
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got it

wooden crag
#

the point where they intersect is their collision point

devout tundra
vast ore
#

@devout tundra helped more

devout tundra
vast ore
#

@wooden crag was useless

wooden crag
#

damn okay

devout tundra
#

I just told you the answer, I have no idea how to write your work out

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Cause I don’t do that

vast ore
#

no hard feeling just git gud

devout tundra
#

So doxxy actually did it

vast ore
#

i was JOKING

devout tundra
idle brook
#

Can someone tell me which one the correct f(x)? Ty

wooden crag
#

find the derivative of the function, look at the graph of the derivative

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and see which one matches

idle brook
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Idk the derivative of the function

wooden crag
#

Choose a point on the graph to find the value of the derivative at.

Draw a straight line tangent to the curve of the graph at this point.

Take the slope of this line to find the value of the derivative at your chosen point on the graph.

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actually thats the derivative at a specific point

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nvm

idle brook
#

I think its C or E

wooden crag
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should be C

idle brook
#

I strongly think it is E

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Oh

wooden crag
idle brook
#

Hmm might be C actually

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Definitely C

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Now that I look at it

wooden crag
#

just look at how the graph changes over time, and you'll find that it most closely matches the slope of C over time

idle brook
#

I looked that the points where f(x) tangent like goes to 0 then matched it with f'(x)

wooden crag
#

yup

idle brook
#

Ty

obsidian marsh
obsidian marsh
idle brook
obsidian marsh
idle brook
obsidian marsh
#

i have a real question now

#

$\sqrt{x^2+y^2} \leq \frac{z}{2} \leq 3 = 2\sqrt{x^2+y^2} \leq z \leq 6$

ocean sealBOT
#

bortoletto

obsidian marsh
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is this true?

clever locust
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There should not be an equality

#

What you're meaning to ask is if

$$\sqrt{x^2+y^2} \leq \frac{z}{2} \leq 3 \iff 2\sqrt{x^2+y^2} \leq z \leq 6$$

ocean sealBOT
#

Lorago

clever locust
#

In which case the answer is yes

alpine sable
#

Explain plz

obsidian marsh
obsidian marsh
calm kiln
#

This correct?

alpine sable
#

What’s 257688 times 30711944761

calm kiln
#

I am using the channel...

terse iron
#

mb

calm kiln
calm kiln
oak chasm
#

@calm kiln Yes, that's correct.

#

,w cot(-45 degrees)

ocean sealBOT
oak chasm
#

,w cot(-45 degrees) cos(-45 degrees)

ocean sealBOT
calm kiln
#

This correct?

oak chasm
#

@calm kiln Yes, that looks fine.

#

,w csc(atan(-12/35))

ocean sealBOT
calm kiln
#

This one?

oak chasm
#

@calm kiln What's the sign of cosine in quadrant 2?

calm kiln
#

negative?

oak chasm
#

Right, so that can't be the answer.

calm kiln
oak chasm
#

Right.

runic pendant
#

I need the answer ASAP

#

Gotta to turn this by today I would appreciate it a lot

clever locust
#

People here won't just give you the answer

runic pendant
#

I’m willing to learn

#

🥺

clever locust
#

I can't remember enough geometry to solve that so no sadly

#

Plus I'm going to bed

#

It's 2:28 am here

runic pendant
#

Oh ok

#

Thx tho

clever locust
#

Or actually I might remember enough

#

Not sure though, so don't risk it on me lol

runic pendant
#

Sure

minor dagger
#

<@&286206848099549185> can someone help me with my questions

woeful dirge
#

since this involves the two legs of the triangle, use tangent

steep steeple
#

does anyone know how to do this

minor dagger
#

use SOH-CAH-TOA to find the sides

#

so

#

soh cah toa is what i used

mighty sinew
woeful dirge
#

yes

runic pendant
minor dagger
#

can someone help me.. Ive been waiting for an hour lol

mighty sinew
#

sure, lemme try 2 sec

minor dagger
#

cool

#

thanks

mighty sinew
#

If O is the center of your circle, then the angle TOS is 75*2 = 150 by the inscribed angle theorem. You can work out the rest easily I assume

mighty sinew
#

ur name is cancer to ping xd

twilit parrot
#

just dont sin

#

LMAO

#

in all seriousness

#

I dont know

mighty sinew
#

go outside

#

go tan

#

tan39 = x/30

dull storm
#

how to turn

#

0.0703 into 9/128?

minor dagger
#

mathwayyy

main zephyr
#

could anyone tell me what these types of questions are called so i could search how to do em on youtube

mighty sinew
#

75x2 not 75^2

minor dagger
#

piecewise functions

#

@main zephyr

main zephyr
#

thanks

minor dagger
#

np

runic pendant
mighty sinew
#

yeah, thats the angle of the arc

shrewd oracle
echo pike
#

Can someone help me? I missed a couple days of class and now im confused

runic pendant
mighty sinew
#

no. Thats the angle of the lower arc

runic pendant
#

Ok

#

Now what?

mighty sinew
#

One arc is 125 the other is 150, you can find the missing one

runic pendant
#

I don’t know how to

#

🥲

dull storm
#

nobody knowS?

#

how to

#

how to turn
0.0703 into 9/128?

lethal glacier
#

hi

dull storm
#

because 9/128 is that

mighty sinew
#

in total

runic pendant
#

200

#

?

mighty sinew
#

whered u get that number

clever locust
runic pendant
timber girder
#

no its 360

dull storm
#

yes

runic pendant
#

Oh

#

Yea

dull storm
#

@clever locust

runic pendant
#

For the whole circle

mighty sinew
#

lol maybe i phrased it bad

dull storm
#

but how do i find the real one

mighty sinew
#

yeah the angles should add up to 360

runic pendant
#

I thought he meant the numbers lmao

mighty sinew
#

so just subtract what u have from 369

#

360*

#

should be 85

runic pendant
#

That the answer?

#

Could u help with a second one

#

Same type of problem

#

Trynna to figure it outta

mighty sinew
#

sure

runic pendant
mighty sinew
#

same thing, but easier

#

122 is the angle of KOL

#

KML is half that

#

guess u slept in class when they taught the theorem xd

runic pendant
#

Ok

runic pendant
#

It barely sent

#

Lmao

#

So it 66?

mighty sinew
#

66x2 is 132 my friend

runic pendant
#

Lmao I’m telling u I’m dumb

#

61

#

Is that the answer?

mighty sinew
#

yee

runic pendant
#

Thx

steep steeple
#

can someone help me on this?

runic pendant
steep steeple
#

this is already taken

tall oasis
#

!claim

#

,claim

#

.claim

timid wind
#

wh pwho ing

runic dock
#

i think the figure would look like this

#

<@&286206848099549185>

tall oasis
#

Anyone here good with convex hulls? If so, please ping me (@)

rugged yoke
#

@remote heron

rapid horizon
#

can someone help

rigid smelt
#

Apply the arc length formula for angles in degrees

rapid horizon
#

but i dont have the radius?

#

actually no

rigid smelt
#

You do

rapid horizon
#

its 10

shrewd oracle
#

Yep

rigid smelt
#

Yes

rapid horizon
#

so would it be 10 times 51?

rigid smelt
#

No

#

Like i said apply the arc length formula for angles in degree

#

s=r(theta) only works for angles in radians

#

Youhave to switch 51 degree to radians

rapid horizon
#

would this be the formula

rigid smelt
#

Yes

rapid horizon
#

ok let me do that

#

ik this is not right

#

idk what i did wrong tho

rigid smelt
#

Idk, if thats what your calculator says then its probably right

#

If not check again

#

Nvm, lemme just send a query

#

,w 2pi*10(51/360)

rigid smelt
#

This is what you should be getting

rapid horizon
#

ig a calculation error on my end

wary stream
ocean sealBOT
#

dldh06

rapid horizon
#

now i have to find the area of the sector

#

in square centimeters

wary stream
dense snow
#

102π•51/360. π10^251/360

#

thats one, then two for asnwers-

rapid horizon
#

,w 10* 2pi(51/360(

ocean sealBOT
rapid horizon
#

,w 10* 2pi(51/360)

rapid horizon
#

tf

#

wait what am i doing wrong

wary stream
#

,w 2pi10*(51/360)

rapid horizon
#

that would be the first one

#

i think i need the area

wary stream
#

This channel is busy

rapid horizon
#

@wary stream

#

would this be the formula

#

filled out correctly

wary stream
#

Not 56

rapid horizon
#

51

#

lol

#

yeah

#

your right

wary stream
#

But that's correct

dense snow
#

@rapid horizon #help-0 message
Its first, because10* 2 since thats the diameter and times pi for premiter. Then, only 51 out of 360 of it is used for ab so it’s just 10*2pi *51/360

#

Ahhh hate the * things

wary stream
dense snow
#

@rapid horizon same thing with area

rapid horizon
#

,w (51/360) * pi(10)^2

rapid horizon
#

would that be right?

dense snow
#

Uh….

wary stream
dense snow
#

Wait

dense snow
rapid horizon
#

it wouldnt

#

because only 2 square inches doesnt make sense

dense snow
#

Yeah…

#

But how doe sthat not work?

wary stream
#

,w pi((10)^2)(51/360)

wary stream
#

That's better

dense snow
#

I think that cal is a bit worng-
100pi is about 300, divide 360 and times 50 isn’t 2-

#

=thats better

rapid horizon
#

but 44 square inches doesnt make sense at all

wary stream
dense snow
#

Wai?

rapid horizon
#

i mean cm

#

because 10 is the radious

wary stream
#

$$10^2 = 100$$ so $$51 * 100 = 5100$$

ocean sealBOT
#

dldh06

dense snow
#

It doe sbecause your finding the arc and the find fraction if the circle

rapid horizon
rapid horizon
dense snow
#

Thats not the area

#

That the arc length

wary stream
#

So $$\frac{5100}{360} \approx 14$$ and so $$14 * \pi \approx 44$$

dense snow
#

Area is

ocean sealBOT
#

dldh06

dense snow
#

Pi10^2 *51/360 @rapid horizon

wary stream
dense snow
#

Area

#

I dint know how to read that-

#

Fromt thatbot

rapid horizon
#

so it is 44?

dense snow
#

Yeah

rapid horizon
#

tysm

wary stream
rapid horizon
#

45 then

dense snow
#

Yeah, just smth like that pic

wary stream
rapid horizon
wary stream
#

Bruh, we'll give you the okay when it's done

wary stream
rapid horizon
#

no i got it it was 45

#

44

#

44.5

wary stream
rapid horizon
#

yes

pine herald
#

yay

#

Suppose a Covid positive person attends a
mañanita with 20 other guests. Suppose he
interacts with everyone, and the chance and rate
of transmission is the same for each of the other
guests. Plus the guests are not related to each
other (they are workmates!). Recall one particular
distribution that we discussed that fits the
description for this situation. Compute the
probability that after the party at least one will get
sick with covid if:

  1. No one wore a mask
  2. All but the sick person wore a mask
  3. Only the sick person wore a mask
  4. Everyone wore a mask

chances that were given are 90%, 70%, 5% and 1.5% each

#

there was also this hint

#

Hint! Find first the probability that no one will get sick. And then use that to look for the chance
that at least one person will get sick.

#

<@&286206848099549185>

old walrus
pine herald
#

like

#

what are the chances for infection?

old walrus
#

The question says the “recall one of the distributions we discussed that fits the description for this situation” lol

pine herald
#

idk

#

lemme see

old walrus
#

Oh rip

pine herald
#

i just found this online

old walrus
#

If u can figure that out it should be the same concept that u learned just apply in this scenario

runic pendant
#

Need help

pine herald
#

what about this

#

Suppose that the actual percentage of asymptomatic carriers in a population of people with
Covid-19 is 40%. You take a sample of 100 patients and then you verify whether they are symptomatic or not.

  1. What is the mean of all possible sample proportions of asymptomatic cases?
  2. What is the standard deviation of all possible sample proportions of asymptomatic
    cases?
  3. What are the chances of getting a sample with more than 50% asymptomatic cases?
  4. What is the range of the middle 95% of all sample proportions of asymptomatic cases?
    (Hint: Draw the normal curve to visualize this).
dry echo
mighty sinew
#

do u know any trig

dry echo
#

OK, you need to use law of cosines @runic pendant

mighty sinew
#

... its a right triangle

runic pendant
#

@dry echo

runic pendant
#

I been in the hospital for a lot of reasons

dry echo
#

oh right, just use law of sines

runic pendant
#

So I missed on the important stuff of school

mighty sinew
#

Ah

dry echo
#

sin(90)/89 = sin(x)/80

mighty sinew
#

u can just use the definitions of sin/cos/tan lol

dry echo
#

thats fair

wheat prawn
#

in this question

#

when you are simplying

runic pendant
wheat prawn
#

the lcd is : x(x-2)(x+4)(x+2)

#

but when you multiply x

#

the teacher

#

didnt times it by the lcd

#

any reason why?

#

i get what he did to the 2 and 5

#

but not to the x

dry echo
#

tan(x) = 80/39 is simpler @runic pendant

runic pendant
#

Oh ok

#

Let me try it

dry echo
runic pendant
#

I got 1.117

scenic oak
wheat prawn
#

how

runic pendant
scenic oak
#

x²+2x-8, when you factor it you will get (x+4)(x-2)

#

Which is part of the lcd

wheat prawn
#

yeah but why is there 2 x's

dry echo
wheat prawn
scenic oak
#

One x is from the numerator, the other came from the lcd

wheat prawn
#

wdym

#

it would be

#

x(x+2)

#

not x(X)(X+2)

#

the denominator is missing X+2

#

not x(x+2)

scenic oak
runic pendant
#

I got to turn in this work

#

For school

runic pendant
#

Or else I’m fuck 🤧

wheat prawn
#

you see what i am saying

#

it is not missing anything else other than x+2

#

OH WAIT

#

I get it

#

i forgot

#

its the denominator

#

not the numenator

#

i see

scenic oak
#

yes

alpine sable
#

can someone please answer question (a) because what i got isn’t what the markscheme says

rigid smelt
#

can you show your work?

alpine sable
#

sure

#

the mark scheme says that the centre is (3/2,-3) i dont get why its positive 3/2

mighty sinew
#

the same reason why the center on y is -3 and not 3

rigid smelt
#

be careful of the sign

mighty sinew
#

wtf did i just see

alpine sable
rigid smelt
#

circle equation is (x-h)^2 + (y-k)^2 = a^2 where (h,k) is the circle's centre

alpine sable
#

yes

rigid smelt
#

see how its x - and y -

mighty sinew
#

you found (x-3/2)^2 + (y+3)^2 = 49/4. You said your center is (-3/2,-3). Why did you inverse the y's sign but not the x's lol

alpine sable
#

yes ohhhh so the centre co ordinates will always be minus

#

?

rigid smelt
#

no

#

the coords wont always be minus

alpine sable
#

oh sorry continue what u were saying

#

ohhhhhh waittttt oml i get it

rigid smelt
#

look your equation is (x- 3/2)^2 + (y+3)^2 = 49/4

alpine sable
#

because u solve for x

#

yeeyyeyey i get it 💀💀

#

the signs flip

rigid smelt
#

well i guess you can say so too

alpine sable
#

thanks both of u lol i’ve gone so bad at maths after not doing it for ages😭

pine herald
#

Suppose a Covid positive person attends a
mañanita with 20 other guests. Suppose he
interacts with everyone, and the chance and rate
of transmission is the same for each of the other
guests. Plus the guests are not related to each
other (they are workmates!). Recall one particular
distribution that we discussed that fits the
description for this situation. Compute the
probability that after the party at least one will get
sick with covid if:

  1. No one wore a mask
  2. All but the sick person wore a mask
  3. Only the sick person wore a mask
  4. Everyone wore a mask

Hint! Find first the probability that no one will get sick. And then use that to look for the chance
that at least one person will get sick.

#

<@&286206848099549185>

#

its been a day since ive asked this :/

alpine sable
ocean sealBOT
#

sxkura

rigid smelt
#

either is fine

alpine sable
#

thank you!

fringe lantern
#

hello can someone help me

#

tried this question

#

i got 3/2 and 0 as roots of x

#

but i keep getting different answers when i plug it back into the equations for the y point

rigid smelt
#

what do you mean by different answer?

#

and you also have to exclude the solutions that dont fit

fringe lantern
#

wait 1 sec

#

ok

#

i fixed it

#

now im getting the same values

#

so the solutions are

#

0, 20

#

and 3/2, 31/2

#

can u comfirm that

rigid smelt
#

does x=0 make sense?

#

i mean lets say we both drop the ball and fire the arrow at x=0, how could the arrow hit the ball at x=0?

fringe lantern
#

uhhh

#

because

#

at the intial time of launch

#

they are both launched from the same position

#

so its the question itself that is not realistic?

#

not my answer

rigid smelt
#

oh wait, they are both launched at the same time

fringe lantern
#

yes

rigid smelt
#

oh well, then i guess we have to accept both answers

fringe lantern
#

oh ok

#

but in theory right

rigid smelt
#

guess so

fringe lantern
#

its impossible for them to both launch from the same spot at the same time

#

because they cant both take up the same space

#

am i right or am i right

rigid smelt
#

🤷‍♂️

#

oh well they just want you to solve a quadratic equation

#

thats all

fringe lantern
#

yaya

#

but

#

the 0 seconds is right right

#

i hope my teacher doesnt pull her bitch move and mark it wrong

pine herald
#

If you were to create all possible intervals (p^−0.096,p^+0.096) what percentage of such intervals contain 0.40?

alpine sable
pine herald
rigid smelt
heavy flicker
heavy flicker
woeful dirge
#

or commas

pine herald
#

both

heavy flicker
#

Sorry, im russian and bit don't understand

vagrant cobalt
#

I think they are decimals

heavy flicker
#

decimal

vagrant cobalt
#

wait

#

then it doesn't make sense

dry echo
#

why not

woeful dirge
#

@heavy flicker what does 0.(4) mean?

dry echo
#

oh yea

heavy flicker
#

0.4444444444

#

This

woeful dirge
#

ok

#

its better to keep that as a fraction

#

4/9

#

as for the 2.1666666, that can be written as 13/6

#

now it'll be easier to multiply

#

the next step is to multiply both sides by 13/6, then multiply both sides by 4/9.

heavy flicker
woeful dirge
#

indeed it is

heavy flicker
#

and how can this be done?

oak chasm
#

,rotate

ocean sealBOT
oak chasm
#

@heavy flicker My guess is to notice that one angle is double the other and to use the double or half angle identities.

heavy flicker
#

Ok, thanks!

ocean sealBOT
#

Chai T. Rex

pine herald
pine herald
oak chasm
#

@pine herald Please don't post a question to multiple channels. See the rules and tips for getting help in #❓how-to-get-help.

pine herald
#

ok

gloomy hazel
#

Hello can someone help me with this question

heavy flicker
frigid stream
#

@gloomy hazel Which one? a or b?

gloomy hazel
#

both

#

I am pretty lost

frigid stream
#

@gloomy hazel
You have $3 = e^{20r}$, so $\ln(3) = \ln\left(e^{20r}\right) = 20r$

ocean sealBOT
#

Fέliχ

frigid stream
#

So the answer you got looks okay

#

Rounded to 2 decimals you should get r = 0.05

gloomy hazel
#

so i was right? multiplying 500 to 3 is correct?

heavy flicker
frigid stream
#

The channel is busy @heavy flicker

frigid stream
gloomy hazel
#

wait so how do you do B?

#

cuz i've been staring at this question for 30 minutes already. trying to figure it out

frigid stream
#

You solve the equation \

$2P = Pe^{0.05t}$

ocean sealBOT
#

Fέliχ

frigid stream
#

Which simplifies to \

$2 = e^{0.05t}$

ocean sealBOT
#

Fέliχ

gloomy hazel
#

ohhhh I get it now.

#

I was too dumb to understand the question

frigid stream
#

Don't worry

gloomy hazel
#

I have one more question

frigid stream
#

Sure

heavy flicker
#

is this chat busy?

gloomy hazel
frigid stream
#

,rotate

ocean sealBOT
gloomy hazel
#

phone did not focus let me know if you need a clear one

frigid stream
#

It's fine

#

If x represents the year, then you just have to replace x by 10

#

By 10*

gloomy hazel
#

thats all for my question. Thank you for helping!

pine herald
past thicket
#

a caterpillar needs to climb a pole of 65 inches if the caterpillar climbs 5 inches in day and drops 4 inches in night how many days will the caterpillar take to reach the top

#

day is 12 hours and 12 hours night

#

it is an interesting question

tall oasis
#

anyone knows how to calculate the effiency gap of elections?

woven pollen
#

I've never heard of it before. huh. Boooorrring.

ionic jewel
terse merlin
#

Oh shoot sorry!

final crag
#

Would this be <=500?

thick relic
#

confused

wheat prawn
#

for this

#

when i multiply the opposite by -1

#

wouldnt it become a positive

#

but he put a - sign

#

right where i marked

gray gorge
#

The negative of x - 2 isn't x + 2

wheat prawn
#

@gray gorge oh LOL

boreal prawn
#

how do i factorise a^6+27

shell widget
#

try using A^3 + B^3 = (A+B)(A^2 - AB + B^2)

boreal prawn
#

ok thanks

#

how do you find the prime facorisation of 1000027

boreal prawn
#

how do you use that to find it tho

#

sorry

tribal bear
#

1000027=1000000+27

boreal prawn
#

ohhhh

#

ok thanks

tribal bear
#

no problem
(also, no need to apologize)

boreal prawn
#

would you be able to explain how you would use the formula to find the prime factorisation? or do you just find the prime factorisation of 1000000 and 27 and then add those?

tribal bear
#

first express 1000000 and 27 as cubes, then use this formula A^3 + B^3 = (A+B)(A^2 - AB + B^2)
then try to keep factoring if you can

past thicket
#

1000000 = (100)^3 +(3)^3

boreal prawn
#

ah i see thanks for your help

#

wait so if i got this

tribal bear
#

double check your value of 100^2

boreal prawn
#

ohh