#help-0

1 messages ยท Page 599 of 1

harsh acorn
#

yep i did solve it right

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is the answer 4/9?

oak chasm
#

@harsh acorn How many ways are there to get said product?

harsh acorn
#

4
2x6
3x4
4x3
6x2

south loom
#

Hello everyone, my name is Alessandro and I am trying to find a solution to the following statistic problem: "Assuming a standard deviation of 0.15 and approximately normal distribution, find a 95% confidence interval for the mean of a given effect caused by a treatment. A random sample of 75 patients has an average increase in iron uptake of 3.1%. What does the result means?" Does anyone could help please? Thank you in advance ๐Ÿ˜„

oak chasm
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Right.

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@south loom Sorry, channel is busy.

harsh acorn
#

and there are 6 face

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4/6

#

for one

oak chasm
#

@harsh acorn How many total ways are there to roll two dice?

harsh acorn
#

36

oak chasm
#

So, 4/36

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Remember, those four are pairs.

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There are four pairs you want.

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There are 36 pairs total.

harsh acorn
#

so it is not (4/6)*(4/6)

oak chasm
#

No.

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It's pairs over pairs.

zenith swift
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What is Remainder Theoram ?

oak chasm
#

@zenith swift Sorry, the channel is busy.

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@harsh acorn Multiply that out.

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You get 16/36, right?

harsh acorn
#

yep

oak chasm
#

So, that would be 16 pairs/36 pairs, right?

harsh acorn
#

yes

oak chasm
#

But you don't have 16 pairs.

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You only have 4.

harsh acorn
#

oooh

#

i understand now

#

2piR= length of wire
2x+2y=length of wire
x+y=length of wire/2
and i choose numbers that they are really close (which is 26 and 25)
and answer is 650?

#

want to check am i doing right

ocean sealBOT
#

Chai T. Rex

harsh acorn
#

oooh i did basic operation error lmao

orchid tinsel
#

B1, B2, G1...G6

  1. If all distinct, then:
    Total number of arrangements would be P(8,8) = 8! = 40320
    If you group the boys, then 7!*2! = 10080
    If you group the girls, then 3!*6! = 4320

  2. If boys are alike and girls are alike, then:
    Total number of arrangements would be P(8,8) / P(2,2)P(6,6) = 8! / ((2!)(6!)) = 28
    If you group the alike boys, then 7! / 6! = 7
    If you group the alike girls, then 3! / 2! = 3

harsh acorn
oak chasm
#

,w 2 (22/7) 21

ocean sealBOT
oak chasm
#

,calc (132/4)^2

ocean sealBOT
#

Result:

1089
oak chasm
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@harsh acorn Yes, that's right.

forest sun
#

plese help with the following

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how long is x

harsh acorn
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are these diagonal

forest sun
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6 and x are not

woeful pulsar
#

you might want to cosntruct some useful lines

forest sun
#

i dont understand how to go from there

lapis harness
#

pythagoras ?

forest sun
#

yeah

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but i only have one side

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i need two for pythagoras?

lapis harness
#

try naming sides a,b,c,d and such and making equations should simplify

forest sun
#

sorry my brain is not working atm

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could you just give the answer?

lapis harness
forest sun
harsh acorn
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$a^2+d^2= 36$

ocean sealBOT
harsh acorn
#

so, are u guys done?

woeful pulsar
# harsh acorn

find the number of ways to get from A to each point systematically

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the nearby points are easier to figure out first

harsh acorn
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so i will count them?

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isnt there any magical formula for that

lapis harness
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couldnt you like

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fill in the blank spaces

woeful pulsar
lapis harness
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and substract the paths you dont ahve

woeful pulsar
harsh acorn
woeful pulsar
#

too much magic

next coral
#

w^2(z-2)=z^2(w-2)
How to I prove that w=z if I know w, z are two rational numbers equal or less than zero?

woeful pulsar
#

any sufficiently advanced technology is indistinguishable from magic

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unfortunately you wouldn't be given that in mathematics

harsh acorn
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but how can i count all of them

woeful pulsar
#

count how many paths there are to nearby vertices

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there is 1 path from A to A

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yay

harsh acorn
woeful pulsar
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now pick a nearby point and count paths to it

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there is 1 path from A to all the points in the same column as A

harsh acorn
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for corners there are 1

woeful pulsar
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this is one path from A to all the points in the same row as A

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so far we have this

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how many ways to get to the circled point?

harsh acorn
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for these there are 2 way

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right?

woeful pulsar
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wrong

harsh acorn
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oohh no

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yep i saw it

forest sun
#

thank you for the help @lapis harness

harsh acorn
#

now it is true right?

woeful pulsar
#

erm

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probably not

harsh acorn
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:d

woeful pulsar
harsh acorn
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k

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for circled one there are 1 path

woeful pulsar
#

okay

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now pick a nearby point and calculate for that point

harsh acorn
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2 way

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oh

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for your point 1 way

woeful pulsar
#

doesn't matter

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just continue

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pick a nearby point and continue

harsh acorn
woeful pulsar
harsh acorn
woeful pulsar
#

actually there's more than 5

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but you need to be a bit more systematic

harsh acorn
#

you are right

woeful pulsar
#

try this

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notice there's one way to get from the left and 2 ways to get from below

harsh acorn
#

3 way

woeful pulsar
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so how about this now?

harsh acorn
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5?

woeful pulsar
#

there are 3 ways to get from the left

harsh acorn
#

hmm

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i cant find 3rd

woeful pulsar
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earlier you only drew two ways to get from the left

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that means you are missing something

harsh acorn
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ooh i find it

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okay it is 6

woeful pulsar
#

so 6=3+3

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so in general you can add the number of paths on the left and the number of paths below

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@harsh acorn can you complete it?

harsh acorn
#

i guess yes

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sorry for bad writing

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my hand vibrates a bit much

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oh BASIC OPERATION ERROR LMAO

woeful pulsar
#

lol

harsh acorn
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sssshh

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anyway i understant it now

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so in general you can add the number of paths on the left and the number of paths below- good to know that lol

woeful pulsar
#

wait you added 5+6=11?

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but 5 isn't on the left of 11, they aren't connected

harsh acorn
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yep

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you are right

digital kiln
woeful pulsar
digital kiln
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I got 5

harsh acorn
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how can i find the number in the green square?

digital kiln
#

No wait

harsh acorn
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how can i find the number in the green square? @woeful pulsar can u say to me please

woeful pulsar
#

here we only can come from below

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so there's really nothing to add

harsh acorn
#

so it is 6?

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are u sure answer is 42?

woeful pulsar
harsh acorn
#

my handwriting is so bad in mouse

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maybe for that i did error :d

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38*

woeful pulsar
vale wigeon
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quick maffs

harsh acorn
#

oh i see

woeful pulsar
ocean sealBOT
#

Chai T. Rex

harsh acorn
#

anyway, i understand how to solve i just keep making errors because of my handwriting

vale wigeon
#

then take this as a sign to work on your handwriting.

harsh acorn
#

my handwriting is good on pencil

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i just cant write on mouse

vale wigeon
#

what image editor are you using?

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it probably has a text tool

woeful pulsar
#

write slower and bigger lol

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@alpine sable please don't spam in #help-0

vale wigeon
#

@alpine sable wrong channel, and maybe even wrong server.

woeful pulsar
#

no one asked for it

harsh acorn
#

x+y=110
170-110=60 right?

vale wigeon
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,calc 170 - 110

ocean sealBOT
#

Result:

60
harsh acorn
#

wanted to check :S

woeful pulsar
#

you can use the ,calc to check

harsh acorn
#

find the sum of all positive factors of $2040$

ocean sealBOT
vale wigeon
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okay can you write out all the positive factors of 2040

harsh acorn
#

inst there easy way?

vale wigeon
#

kinda? but it takes some know-how

harsh acorn
#

thats k please help me how to solve that easily

vale wigeon
#

factor 2040 into primes

harsh acorn
#

after?

vale wigeon
#

factor it into primes and i'll tell you what to do afterwards.

harsh acorn
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2 x 2 x 2 x 5 x 3 x 3 x 3 x 3

vale wigeon
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2^3 * 3^4 * 5

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,calc 2^3 * 3^4 * 5

ocean sealBOT
#

Result:

3240
vale wigeon
#

incorrect factorization

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also don't use x for multiplication

harsh acorn
#

when i use * more it vanishes

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because of discord

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like ****

quaint trout
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Use \*

harsh acorn
#

oh okay

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idk that

vale wigeon
#

or you could put spaces around the asterisks and discord won't treat them as italics

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anyway

#

your factorization is incorrect

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,w factor 2040

harsh acorn
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if so dumb

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im keeping doing basic errors

vale wigeon
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then take a break.

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anyway

#

notice how any factor of 2040 must be a number of the form $2^m 3^n 5^p 17^q$ where $m \in {0,1,2,3}$ and $n,p,q \in {0,1}$

ocean sealBOT
vale wigeon
#

in other words any factor of 2040 must be the product of exactly one number from each of these lists:
[1, 2, 4, 8]
[1, 3]
[1, 5]
[1, 17]

#

this is a little tricky to explain so i can try to give a simpler example if you want

ocean sealBOT
#

Chai T. Rex

viscid orbit
woeful pulsar
#

yeah, this is the question with no unique solution

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it was posted at least once earlier in this server

unique tree
#

can someone please explain me how to calculate the end grade if grade no1 is 2/3 and grade no2 is 1/3?

harsh acorn
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(a+b)/2

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in my country it is like it

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so your grade us 0.5

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what is the name of these type of expressions?

limpid spade
#

tesla sum

harsh acorn
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can u share any resource link?

warm iron
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The general name for the product of n terms is denoted by capital pi

alpine sable
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may someone be able able to mathematically show working out to find the asymptote of this equation?

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im confused

warm iron
#

It's in this form

limpid spade
#

basically multiplication version of summation

ocean hearth
#

alright so can anybody help me with this problems?

wise jewel
#

how is 8 the height here??

woeful pulsar
wise jewel
#

shouldn't it be 21? since 21 m is the distance between both the bases

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wait nvm 8 is the distance between both base

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bases

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ig in a trapezoidal prism's height only applies to one trapezoid instead of both unlike a triangular prism

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waaaait

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there's 2 heights

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nvm

radiant pendant
#

A computer company just manufactured 1200 new tablets.ย  The quality control team randomly chose fifty tablets to test their USB ports.ย  They discovered that 6 of the ports do not work properly.ย  How many tablets should the company expect to have this same issue?

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what is answerrr idk this

alpine sable
#

I believe they find the ratio of defective tablets out of 50 and then make that same ratio with 1200 tablets

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But that seems stupid

radiant pendant
#

whats the percent tho

alpine sable
#

Like 6 out of 50 are defective so that means 12 per cent

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My guess is they want 12% of the total too

radiant pendant
#

ok thankyou

alpine sable
#

๐Ÿ‘๐Ÿ‘

limpid spade
#

<@&268886789983436800>

sly mantle
#

๐Ÿ‘ข

harsh acorn
#

lmao

wise jewel
#

How is the height of the base 4*sqrt(3) ????

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im so confused

fading zephyr
#

the marks on the sides of the base presumably mean it is an equilateral triangle, with all sides equal to 8

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you can split such triangle in half, getting a side length of 4 on one side, a hypotenuse of 8, and the remaining side is the height

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furthermore, this triangle is a 30 60 90 special triangle

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for which the sides have scale factors of 1, sqrt(3), and 2

normal spoke
#

how does the second integral disappear?

glass lichen
normal spoke
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oh

fading zephyr
#

you can flip the sign of the right integral and integrate from x to a

normal spoke
#

i didn't even notice the bounds changing lol

glass lichen
#

Notice the changed bounds in the 2nd line

fading zephyr
#

then combine them as moshill says

wise jewel
#

@fading zephyr wdym by "for which the sides have scale factors of 1, sqrt(3), and 2" ?

fading zephyr
#

i mean there is a prototype 30 60 90 triangle for which the sides are 1, sqrt(3), and 2

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and every other triangle with the same angles is similar to it, in the sense that the sides are just scaled up by some constant

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like in your case, scaled up by 4

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giving you sides 4*1, 4sqrt(3), and 4 * 2

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you should have seen this early on in geometry/trigonometry

harsh acorn
#

are u guys done now?

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How can I calculate $$\prod _{n=2}^{2018}\left(\frac{n^2-1}{n^2}\right)$$ without calculator

ocean sealBOT
real sinew
#

Can't say that's something I ever learned in school

limpid spade
#

you don't learn capital pi in high school

warm iron
real sinew
#

I've got a bsee with a minor in math :/

harsh swallow
#

i think they mean the product

real sinew
#

I know pi notation but not how you'd find the product up to 2018 by hand

#

That's a huge number to square

harsh swallow
#

not multiplying by itself but how to deal with a product like this

muted raft
harsh swallow
#

i haven't dealt with something like this either

harsh acorn
#

when i calculate it it gives simple answer

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,w \prod _{n=2}^{2018}\left(\frac{n^2-1}{n^2}\right)

real sinew
#

My first guess is possibly you can cancel out terms but I dont quite see where

harsh acorn
#

but how

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why it is like that

muted raft
#

terms should simplify nicely

oak chasm
#

,w Product[(n^2 - 1)/n^2, {n, a, b}]

ocean sealBOT
glass lichen
#

there are 2 patterns going on, one for even top bounds and one for odd top bounds

muted raft
#

,w 1/2 * (1 + 1/2018))

harsh acorn
real sinew
#

Well theres the answer but who knows how you'd find that answer while showing work? Lol

harsh acorn
#

i am preaparing to a exam

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it is not homework

real sinew
#

Ohh

harsh acorn
#

anyway

glass lichen
#

You'd do a couple small examples to develop a pattern

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then show that pattern is true

muted raft
#

yes

harsh acorn
#

well patters was given and i did write product by myself ( it is old question i am resolving it and still failing :d)

#

after writing product i stuck

glass lichen
#

If you take only the even terms in the partial products you get $\frac{3}{4},\frac{5}{8},\frac{7}{12},...$

ocean sealBOT
#

moshill1

harsh acorn
# ocean seal

i want to know that how did he get these (a-1)(b+1)...

glass lichen
#

so for the even terms, $P_{2x}=\frac{2x+1}{4x}, x\in\mathbb{N}$

#

so when x= 2018/2, you get P_(2018)

#

Then it's just a quick induction to show the pattern always holds

ocean sealBOT
#

moshill1

harsh acorn
#

still confused

strong furnace
#

:/

glass lichen
#

$\prod_{n=2}^N\frac{n^2-1}{n^2}$ compute for N in {2,3,4,5...,7} and you'll see a pattern

ocean sealBOT
#

moshill1

glass lichen
#

prove that pattern is true by induction

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then just find the answer

harsh acorn
#

oooh i understand now

glass lichen
#

And since 2018 is even, we likely want to look at the even partial products

#

so doing N=2,4,6 (8 if you need to), you get the fractions I already listed

#

so when $N=2x,x\in\mathbb{N}$, we propose that $P_{2x}=\frac{2x+1}{4x}$

ocean sealBOT
#

moshill1

alpine sable
#

Can anyone help with accounting?

harsh acorn
#

do you guys know where can i find practice questions like it

alpine sable
#

Like do you need series approximation question?

#

@harsh acorn

glass lichen
#

I mean.. properly do this question since you know the rough idea (I havent said anything about the induction step)

harsh acorn
#

i do stuck all the time in the final of the problem

harsh acorn
alpine sable
alpine sable
#

Don't forward its from my classes they would go mad if they found I forwarded it online

harsh acorn
#

thanks

alpine sable
#

๐Ÿ‘๐Ÿ‘

#

is this true?

woeful pulsar
alpine sable
#

not to me

woeful pulsar
#

then try coming up with a counterexample

alpine sable
#

i did try with A = {1, 2}, B = {3, 4} and it doesnt seem to hold

pale cargo
#

is 4184000 in jouls or Kg TNT

alpine sable
#

Does it? then P(AUB) = P({1, 2, 3, 4}) = {phi, {1}, {2}, ..., {1,2,3,4}}

#

but P(A) = P({1, 2}) = {phi, {1}, {2}, {1,2}}. similarly P(B) = {phi, {3}, {4}, {3, 4}}

#

then their intersection is just phi

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Oh ok

#

I thought it was union

alpine sable
#

that and the prev one

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Yup

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we are asked to prove it. its an assignment so presumable it should be true so im confused

#

Um are u sure it's he question

#

I guess this maybe true

alpine sable
#

yea lemme try

alpine sable
near portal
#

P(AUB) isnt equal to P(A)U P(B) except if A and B have nothing in common

worldly meadow
#

S

alpine sable
harsh acorn
#

are u guys done?

#

i tried to write equation as $1+ \sum_{n=1}^{2018}\left(4n)$

#

hm

ocean sealBOT
#

Hyl1s
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

oak chasm
#

@harsh acorn Find the last digit of 4, 16, etc.

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They will eventually cycle.

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So, what's the sequence?

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Sorry, 1, 4, 16, 64, 256, ...

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What are the last digits of the sequence?

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1, 4, 6, 4, 6, ...

#

So, we have a cycle.

#

There are two elements in the cycle.

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The number of elements in the non-1 part of the sum is even.

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So, if you add 4 + 6, you get 10, which has last digit 0.

#

So, each cycle sums to 0.

#

So, you have an integer multiple of the cycle length (2018)

#

This is 1009 times 0, which is 0, which has last digit 0.

#

So, add the initial 1 to 0, you get 1, which has last digit 1.

#

Which is your answer.

harsh acorn
#

,w 1+ \sum_{n=1}^{2018}\left(4^n)

oak chasm
#

@harsh acorn No, it's powers of 4, not multiples.

#

Look again at the problem.

harsh acorn
#

oooh right

harsh acorn
#

Yep

#

it is 1

#

lol

#

so if number was ^2017 number would end with 5 right?

oak chasm
#

$$1, \overbrace^{\frac{2018}{2} \mbox{ times}}{(4, 6)} \to 1 + \frac{2018}{2} (4 + 6) = 1 + \frac{2018}{2} (0) = 1$$

ocean sealBOT
#

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

harsh acorn
#

yep i get it

#

thx

solid lion
#

what test do i uses for 7

ruby niche
#

P series test.

wind radish
#

hey sorry i have a pretty stupid question if someone can help

oak chasm
#

@wind radish Sorry, channel is busy.

wind radish
#

oh

#

nvm then

solid lion
noble sinew
#

Whether a series diverge or converge only depends on the tail

#

So for example compare with 1/(n^2)

solid lion
#

oh i see, so i could use a number like 3 and have n^ln(3)

noble sinew
#

Sure but then you still need to say ln(3)>...>1 to use p-series

alpine sable
#

are there derivatives that can only be found by (f(x)-f(c))/(x-c) but not with (f(x+c)-f(x))/c

alpine sable
#

you can convert between those two forms

#

so then i can always use both?

#

don't really know a specific example where one would be noticably easier to use off the top of my head

#

use either

#

im idiot

#

both give the slope of the tangent line at (x, f(x) )

ruby niche
#

Replied to the wrong one by mistake

alpine sable
#

yeah you're right it should be (f(x+c)-f(x))/c

#

my bad

harsh acorn
#

so you guys are done now?

alpine sable
#

yeah

harsh acorn
ruby niche
#

Which topic is physics exactly?

harsh acorn
#

i know $$|x-y|<z<x+y$$
$$|x-z|<y<x+z$$
$$|y-z|<x<y+z$$

ocean sealBOT
ruby niche
#

I'll see if I can do it, I'm weak in thermo

harsh acorn
#

@oak chasm can u help me please

graceful plume
#

Who can solve this

harsh acorn
#

this channel is occupied

#

it is

graceful plume
#

Isabel's family is moving. They will rent a large, enclosed trailer and some moving boxes. The trailer and each moving box have dimensions as shown in the drawing. The dimensions of the trailer are internal dimensions.

Examine how many moving boxes can be in the trailer at most. You must justify your answer with calculation and one or more sketches showing how the family can place the moving boxes in the trailer.

#

Please solve it for me

harsh acorn
#

this channel is occupied

graceful plume
#

It a riddle

harsh acorn
#

look at rules

graceful plume
#

Wym it's occupied I just need an answer tho this

harsh acorn
#

can u wait please?

ruby niche
#

I mean Hyl1s asked first so I do think we need to wait for his question to be solved

opal wing
#

@harsh acorn What's the question?

shrewd oracle
#

this is a physics question, would be better for the physicd server

#

it is

opal wing
#

Is it?

shrewd oracle
#

always people on

harsh acorn
#

better read rules first

covert wind
#

Is this channel in use?

#

its a simple question i have

opal wing
#

No it is not

#

Ask away

covert wind
#

Ok

#

What is the chance

#

she gets a red shirt

#

and a black short

harsh acorn
#

it asks for diagram

#

you need to draw it

covert wind
#

Its 1/9 right?

#

i did

harsh acorn
#

oh

covert wind
harsh acorn
#

total combinations are simply n(n-1)

#

which is 6

covert wind
#

yes

#

i did that

#

Bro

harsh acorn
#

lmao...

covert wind
#

stop

#

Wtf

#

WTF

harsh acorn
#

funny guys

opal wing
#

๐Ÿ˜† what the hell

covert wind
#

so question 3

harsh acorn
#

11 year old humor be like lmao

covert wind
#

thats all i need

harsh acorn
#

anyway

covert wind
#

its 1/9 right?

shrewd oracle
#

banned soon i imagine

harsh acorn
#
  1. is 1/3
covert wind
#

yes

#

i know

#

so is 4

#

but i just need question 3

#

lol

#

cuz i forgot

#

if u have to multiply

harsh acorn
#

you need to add as i know

covert wind
#

So 1/6?

oak lodge
#

if you drew the tree diagram you can count how many are red and tan and then do that out of how many options there are

harsh acorn
#

he did it already

#

he is asking for 3

#

3.*

#

oh

oak lodge
#

yes im saying if he did it it will tell the answer

harsh acorn
#

yes i understand it now

covert wind
#

But its shorts and shirts

oak lodge
#

share the tree dia

harsh acorn
covert wind
#

thats what i made

oak lodge
#

i dont think thats correct

covert wind
#

Please stop

oak lodge
#

mods pls ban elpelle

shrewd oracle
#

your gonna get banned

small epoch
covert wind
#

Not a funny prank

harsh acorn
#

kills a man
-It is a prank guys hehe

shrewd oracle
#

not a prank? you just randomly sent it in, theres kids in this discord

harsh acorn
#

it looks like this

fading zephyr
#

done

shrewd oracle
#

thanks @fading zephyr

minor eagle
#

Hello! I am new here so apologies if I make a mistake. Can someone explain me how this momentum term is incorporated? I do have an MLP programmed but I do not get where should I add the momentum. Currently I am just multiplying the weights by mu. Thank you!

harsh acorn
#

it is occupied as i know

fading zephyr
oak lodge
#

I think this is the correct diagram

#

someone correct me if im wrong

honest moth
#

is this channel clear

minor eagle
harsh acorn
oak lodge
#

@covert wind unless im mistaken, i think my picture is how you draw it

covert wind
#

Ok show me pls

#

oh

#

ok

oak lodge
#

thoughts hyl1s?

covert wind
#

But isnt the shirts green red and yellow

#

and not the shorts

oak lodge
#

i dont think it matters which is first

covert wind
#

Ohhh

#

That has to be right

#

cuz like

#

my teacher just showed my thats how its suppose to look like

#

Oh yeahhh because you cant just pick one shirt with no shorts

#

thanks

oak lodge
#

hope im right np

harsh acorn
#

i dont think it is like that

harsh acorn
harsh acorn
covert wind
#

idk it was confusing me

harsh acorn
#

in this diagram combination is larger than 6

oak lodge
#

lol

harsh acorn
#

and it is impossible

oak lodge
#

weird i dont see how the first one is possible

covert wind
#

well like thats if we are talking individual clothes

#

like

#

you can have a red shirt

#

and yellow

#

and green

#

but hes saying you need a red shirt with a black short

#

or a red shirt with a short jeans

harsh acorn
#

structure will loook like this

#

structure of diagram

oak lodge
#

but from that diagram, if you ask the prob of wearing a shirt and pants, you dont get any answer

harsh acorn
#

one side is shirt other side is short

honest moth
#

when is it my turn

covert wind
covert wind
oak lodge
#

<@&286206848099549185> can we get a third opinion on this question please? ๐Ÿ™‚ were split on how to draw the tree diagram for marioos question

covert wind
#

yeah

#

question 3

#

and how to draw the diagram

ocean sealBOT
harsh acorn
ocean sealBOT
scenic sable
#

Please help

#

We need to select 2 angles

#

โ€œSelect 2 angles that represent a pair of vertical anglesโ€

covert wind
surreal pivot
#

(x-x/3)(x^2+3+9/x^2) using identities ig

distant bay
#

Could someone help me find the expression with the restrictions of 0.1,1/2, I thought it was the one on the bottom or top.

lethal glacier
#

idk thb

#

it could be

#

bttom one

#

ask the helpers

#

<@&286206848099549185>

distant bay
#

Could someone help me with the rational expressions

alpine sable
#

ok stupid question, I'm new to latex and I was trying to format a representation of pi, but for some reason what's supposed to be on the numerator just multiplies by the denominator, and there's no numerator (just blank space). Idk if I'm doing something wrong or if the thing just can't fit the numerator

#

$\pi$=\frac{2\sin\left(2\beta\right)}{\left(n-3\right)\prod_{n=0}^{\infty}\cos\left(2^{-k}\beta\right)}

ocean sealBOT
#

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

alpine sable
#

that's what I was doing

#

sry it's probly a stupid question

gilded moss
#

if it goes up 4 and to the right 5 would the slope be 4/5 or 5/4?

#

on a graph btw

distant epoch
#

hello, can you please help me isolate y?
-ysin(32)sin(63) + ycos(32)cos(63) = -33 sinโก(29)cos(63) + 33 cosโก(29)sin(63)

toxic rose
#

y(cos(32)cos(63) - sin(32)sin(63) = -33 sin(29)cos(63)+ 33 cosโก(29)sin(63)
y = -33 sin(29)cos(63)+ 33 cosโก(29)sin(63)/(cos(32)cos(63) - sin(32)sin(63)

distant epoch
#

how did you do it?

#

OH

#

THANKS

toxic rose
#

look on the left side, -ysin(32)sin(63) + ycos(32)cos(63), you can take out the y. just like xa + xb = x(a+b)

forest wasp
#

Can someone help me out with this one? I've been staring at it for a while but I can't seem to figure out a line of logic

fading rover
#

Im having trouble doing a partial fraction

toxic rose
#

partial fraction decomposition?

fading rover
#

It is: 1/(s)(2s^2 +10)

#

yep

#

I know I would set it up as something like 1 = A(2s^2 + 10) + (Bs+C)(s)

toxic rose
#

yes

fading rover
#

But im having trouble finding B and C

#

I can get A with s = 0

#

It ends up being A = 1/10

toxic rose
#

Im solving it one moment

mellow panther
#

can someone tell me how to find vertex of quadratic zeros

#

eqn

fading rover
#

Id suggest going to #help-1 unless you want to be talked over

#

no shade

mellow panther
#

k

fading rover
#

sorry

toxic rose
#

Ok, so you get A=1/10, then you plug that in and simplify here and there. Then, you get 9 = (s^2)/5 + Bs^2 +C, with this, you then use s=1 and get B+C = 9- (1/5), then you try with s=-1, in which you get B-C = 9 - (1/5), so, you have that B-C = B+C, so, -C=C, and this can only happen if C= 0, afterwards, you substitute it back in and get that B = 9 - 1/5

fading rover
#

Im not sure why you set it equivalent to 9 or why the second s term was removed from Bs^2 + C

#

I got the entire thing equivalent to 0 when solving for A and plugging it back in

#

0 = 1/5s^2 + bs^2 + cs

toxic rose
#

1 = (2s^2 +10)/10 + Bs^2 +Cs
Then, 1 = 2s^2/10 +10/10 +Bs^2 +C
Thus, 1 = s^2/10 +1 +Bs^2 +C
And you get to (excuse my mistake earlier, it isn't 9) 0 = s^2/10 +Bs^2 + Cs

#

Then, let s = 1, 0 = 1/10 + B +C => -1/10 = B + C
Then, let s = -1, 0 = 1/10 + B + C => -1/10 = B - C,
So, you get that B+C = B-C => C = -C which can only happen if C = 0. Then plug that in and you get that B = -1/10

fading rover
#

Why are we allowed to set s = 1 arbitrarily

#

If nothing is removed, or does it not matter

#

Could I technically plug in 1,000,000 and still get a valid answer

jovial knoll
#

hey guys

strong furnace
strong furnace
acoustic shadow
forest wasp
forest wasp
jovial knoll
#

i have been studying a lot for SAT

#

i have it tomorrow

harsh acorn
#

very basic question, is the answer 10(root of 10)?

#

oh you guys are not done

acoustic shadow
strong furnace
scenic crescent
harsh acorn
#

diagram looks like this right?

#

we should find red line's magnitude

scenic crescent
#

how do i find a11, a12, a21 and a22

proud ibex
harsh acorn
#

oooh it is 30

#

I did basic operation error again

#

576+324=1000 :d

distant bay
#

Is that correct for simplifying and stating restrictions

strong furnace
harsh acorn
#

you are right

#

idk how i do basic errors like that

proud ibex
warm iron
#

Can someone tell me the name of this book?

#

I know not enough info can be derived from this single image

quasi scarab
#

๐Ÿ˜„

#

well, gl with that

warm iron
#

Yea I've been trying to figure it out for a long time

#

XD

quasi scarab
#

why is this particular book is so interesting?

#

there are tons of books to practice derivs and ints

warm iron
#

Well a friend of mine needed it sooo

#

Would you like to recommend something else?

quasi scarab
#

order one from online or go in a math book store/library

harsh acorn
#

or go pirate ๐Ÿ˜ณ

quasi scarab
#

i chose the second when i needed it

#

when we could still attend to UNI ๐Ÿ˜ฆ

toxic rose
warm iron
#

libgen is what I usually go for

pseudo kettle
#

Co-interior
Corresponding
Alternate Interior
opposite
Supplementary

I need ti find the relationship bewteen and angle #1 and #2

And so on forth with 2-4, 4-6

pliant estuary
#

so wait until some one another answers, but dont post the same question again after few minutes, thanks

coarse hatch
#

@pseudo kettle angle 1 and 2 aur supplementary i.e. angle 1+ angle 2=180ยฐ

hazy sphinx
#

well, do you know the relationships between sin, tan, cos and the sides of the right angled triangle?

bronze trench
#

yes

hazy sphinx
#

then which part specifically is the problem?

bronze trench
#

I just don't know what sin A and sin C is

#

what's the difference?

hazy sphinx
#

well, it depends on whichever angle you're using; whichever angle you use, the one below it is the base and the one vertical to it is the perpendicular

bronze trench
#

ohhhh I see now

#

so would sin A be 10/26?

hazy sphinx
#

no, but the denominator is correct

#

the side opposite to the angle is the perpendicular

#

the side touching the angle, but isn't the hypotenuese is the base

lament wyvern
#

what is an even function

#

what is an odd function

#

what is a graph symmetric about the origin

#

what is a graph symmetric about the y-axis

#

I mean, do you know what an even function is

#

if a graph is symmetric about the y-axis, how would you write that?

limpid spade
#

online test?!

lament wyvern
#

I mean, if you cbf to pay attention, why should we bother in helping you?

#

ok, and?

#

what have you tried

limpid spade
#

he's doing an online test

#

ban

lament wyvern
#

not cool

limpid spade
#

Roshan remove your messages or ban

lament wyvern
#

then maybe you should know, idk

wide coral
#

no one wants to take your test

manic quail
#

Imma snitch then, because I'm an ass: <@&268886789983436800>

limpid spade
#

<@&268886789983436800>

#

oops

#

too late

tame shell
#

ban it is

neon sonnet
#

Hey guys i need some help later so if someone can help me in a hour that would be cool

alpine sable
#

what other properties does it show

#

iโ€™m pretty confused on this question

wide coral
wary maple
#

The possible figure can be a square

#

Since quadrilateral is given, square can be considered

#

Or a kite

alpine sable
#

63

wide coral
# alpine sable i donโ€™t know it

well a line with a slope of zero would be a horizontal line. A line with a slope of -3 can be drawn be starting at a point and then drawing another point down 3 inches and to the right 1 inch.

#

in this example the red line has a slope of -3 and the blue line has a slope of 0

alpine sable
#

so they bisect

wide coral
alpine sable
#

yes

#

but what properties does it show

wide coral
alpine sable
#

I have no other info though

wary maple
#

It is said diagonals are congruent

alpine sable
#

for number one?

wide coral
wary maple
#

So we can say that the side ratio should be equal to diagonal ratio

wide coral
#

imma get back to cleaning house, later gators

wide coral
#

number 2 is a parallelogram, yes ๐Ÿ‘

wary maple
#

Why not number 1

alpine sable
#

so then since itโ€™s a plelgram what can we say

wary maple
#

It is also a class of parallelogram

alpine sable
#

for number one i chose A D E

#

do those seem right?

wary maple
#

For no.1 all are corrects

alpine sable
#

the ones i chose?

#

@wary maple

wary maple
#

I m telling you about 1st part

#

In 2nd part since a slope is given you can consider it a parallelogram

#

But not a trapezium

alpine sable
#

true

#

what properties can we say

shrewd violet
#

Pls help with this for my little bro maybe like a way of doing it

shrewd violet
ionic jewel
#

which one

shrewd violet
#

Q4

ionic jewel
#

assume the total distance is some variable x

#

260 + 35% of x = x

#

do you see where I got this?

shrewd violet
#

Er my little bro yr4 lol he dont get algebra

ionic jewel
#

okay

#

how about this then

#

100% - 35% = 65%

#

you know that 260 was 65% of the way there

strong furnace
#

by the looks of it your little brother has 65% of something = 260 figured out in his head , he is just unable to express it I guess

shrewd violet
#

Ok ty both of u

glass tide
#

how do I read the left side of this?

#

I know the right side is "the probability of the intersection of E anf F over the probability of F)

alpine sable
#

need to find Science โˆฉ Math

manic quail
alpine sable
#

I think 36?

manic quail
#

what about the 1?

ashen sparrow
#

yo

#

anyone know cs?

manic quail
glass tide
#

@alpine sable I clearly had a quesiton posted

#

thanks for just posting your own right under it

ashen sparrow
#

is there any computer science helpers

glass tide
#

wtf is going on

proud ibex
glass tide
#

thanks @proud ibex

neon sonnet
#

Hey guys im going to need help in 10min so if someone can help then thank you

naive belfry
cold reef
#

Can someone explain how I solve for t with a parabola?

#

This is for parametrics and is pretty low level math

charred flint
#

@cold reef not sure what you mean

#

you can choose whatever t you want

alpine sable
#

can anyone help me with this

naive belfry
alpine sable
#

Thanks

neon sonnet
#

Ok i need help

#

Can someone help me with my study guide

#

I have a test on monday and i need help

alpine sable
#

with what?

neon sonnet
#

Man im embarrassed

#

I completely forgot how to do theorems and angles

#

Geometry 101 basically

alpine sable
#

Send some questions and I'll see

neon sonnet
#

Thanks man

#

My teacher is beyond confusing

#

Do you know how to do this?

alpine sable
#

nah

neon sonnet
#

Dang

#

<@&286206848099549185> can someone help me with my study guide

alpine sable
#

just guessing but maybe < 1 = 10 deg

neon sonnet
#

I forgot this as well

glass lichen
#

Do you have an actual diagram for it?

#

or that bs one?

neon sonnet
#

Yep

#

This is the only one my teacher gave me he said its sepost to make me think

glass lichen
#

Ok so just bs, just replace K with an actual line

#

idk why your teacher opted to make a bad diagram and call it "making you think"

neon sonnet
#

I know right

#

I think itโ€™s something like this

glass lichen
#

,rotate

ocean sealBOT
glass lichen
#

yes, and you know m<5 = 50 deg

#

so then start applying angle rules to solve for the other 7 angles

neon sonnet
#

Ya so for reason i should just say given right?

glass lichen
#

sure, I never did the "reason" stuff when I did this

neon sonnet
#

Wow

#

Do you know how i would find the other angles

glass lichen
#

yes, angle rules

#

opposite angles, CFZ patterns, supplementary angles

neon sonnet
#

alright

#

For angle 1 shouldnโ€™t it be 50 degrees because its corresponding

#

Man

glass lichen
#

yes 1 is 50 by F

neon sonnet
#

Ok cool

#

At least i know thos two

#

Do you know how i would find angle 3?

#

And can you explain it for me i know i sound stupid but im just trying to remember how i do this

#

Welp

#

Im screwed

#

Can anyone else help me out:/

stray finch
neon sonnet
#

I completely forgot

#

I know this is stupid but im just trying to remember sorry if i cause you to get stressed

stray finch
#

Don't think so๐Ÿ˜‚ i came here to get help too

neon sonnet
#

Welp

stray finch
#

Got math exams

#

In 3 days

neon sonnet
#

Oof

#

Well i have a test in 3 days

stray finch
#

Ohh๐Ÿ˜‘๐Ÿ˜‚

#

What grade are u

neon sonnet
#

Final stage of high school

stray finch
#

Same

neon sonnet
#

Basically

stray finch
#

Bro

#

What u need help with

#

I remember it

#

Not exact

neon sonnet
#

Seriously?

#

โ€ข_โ€ข

stray finch
#

But i remember the teacher was telling us this

#

Cant help tho

#

It was just a quick flashback

glass lichen
neon sonnet
#

Thanks that means itโ€™s vertical

#

I was about to cry

glass lichen
#

Like I had said, you just apply opposite angle, supplementary angles, and CFZ patterns, or whatever you learned

neon sonnet
#

Ok so

#

Damn it

pine ore
neon sonnet
glass lichen
#

2 is supplementary to 3

#

and hopefully it's clear it's not 50

#

cause it's obtuse

neon sonnet
#

Wait so angle 2 is 180?

glass lichen
#

clearly not

neon sonnet
#

Man

glass lichen
#

2 and 3 are supplmentary

neon sonnet
#

Ya

glass lichen
#

so what does that mean . .?

neon sonnet
#

Added together 180?

glass lichen
#

yes

neon sonnet
#

OHHHHHH

#

I know what you mean

#

<2 +<3=180

neon sonnet
#

Right?

glass lichen
#

yes

neon sonnet
#

I want to hug you

#

Thank you so much

alpine sable
#

https://cdn.discordapp.com/attachments/359052604149465088/839267895292461056/image0.png
Isabel's family is moving. They will rent a large, enclosed trailer and some moving boxes. The trailer and each moving box have dimensions as shown in the drawing. The dimensions of the trailer are internal dimensions.

Examine how many moving boxes can be in the trailer at most. You must justify your answer with calculation and one or more sketches showing how the family can place the moving boxes in the trailer.

#

@glass lichen 48 is wrong

glass lichen
neon sonnet
graceful plume
#

@alpine sable lol what brought you here

#

Bruh

glass lichen
alpine sable
#

checking answers

glass lichen
alpine sable
#

@graceful plume wait lmao, you sent those questions?

neon sonnet
#

Ok that makes sense then

alpine sable
#

Nah mystic lmao this is too funny

glass lichen
#

(keep in mind the diagram is to scale enough to gut check; if you think an obtuse angle is 50 degrees, you should be able to see that's wrong)

graceful plume
#

I m here to ch3at on my algebra

#

No cap

alpine sable
#

Yh deffo xD

neon sonnet
#

Im so sorry i just want to make sure i got this in the bag

graceful plume
alpine sable
neon sonnet
#

Nvm im good

graceful plume
#

But I would have never expected you to be here

neon sonnet
#

I think

glass lichen
graceful plume
#

I could have solved all riddles ๐Ÿ˜œ

glass lichen
#

keep the channel to help, talk in dms

alpine sable
graceful plume
#

Holy shit

neon sonnet
graceful plume
#

I just typed math in discord join sever lmao

glass lichen
#

3 and 6 are 2 of them, 2 more

neon sonnet
#

4 and 5

glass lichen
#

yes

alpine sable
#

Lol.

neon sonnet
#

Thats it right?

alpine sable
#

Some people are saying you can get more if you turn the boxes around

alpine sable
neon sonnet
#

@glass lichen ok so just to make sure a pair of same side interior angles are 4 and 5 and 3 and 6

glass lichen
#

yes, from my understanding

neon sonnet
#

Cool

manic quail
# alpine sable Nah how?

I am not sure, and I am way too lazy to try. The best way probably involves a combination of both.

alpine sable
#

Idk how to sketch it though

manic quail
#

Yes, but I can't be bothered to draw it out.

neon sonnet
alpine sable
#

K

neon sonnet
#

I know c is simple algebra so i should be good on that

glass lichen
#

yeah idk what names your teacher used for pairs of angles

neon sonnet
#

/:

#

So what should i do

glass lichen
#

Look at your notes

neon sonnet
#

Btw isnt the transversal just l and m

barren ginkgo
#

hey can anyone help me with these questions

glass lichen
glass lichen
#

yes. .

neon sonnet
#

Last question

#

@glass lichen please second to last question

#

Im so close

limpid spade
#

then box

#

then volume trailer/volume box

alpine sable
#
  1. The answer is not 66
  2. The answer is not 48
limpid spade
#

what

neon sonnet
#

I give up

alpine sable
#

if it's 66 then you will need to cut boxes up to fill in the gaps

limpid spade
#

,w 185155280

ocean sealBOT
agile compass
limpid spade
#

,w 404070

ocean sealBOT
limpid spade
#

wait

#

SA=2lw+2lh+2hw

#

so

#

,w 24070+24040+24040

ocean sealBOT
limpid spade
#

,w 8029000/12000

ocean sealBOT
limpid spade
#

670 boxes