help-0

[alpine sable]

I have 7 hours to

Complete the class work

[ocean seal]

Πολλά άτομα είναι

[lilac dove]

How do I apply pythag

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

ok gimmie a moment

Thank you

[alpine sable]

I really appreciate it

ok wait i'm reuploading the image

so we won't have to scroll up

Alright

and it's 21.73 mb wtf

Really?

Hmm

Thats ods

Odd

Reposting for reference

[alpine sable]

ok what

why'd the image rotate 90 degs to the left

Not sure

time for neck breaking

[topaz vapor]

Can a smart potato help me?

[alpine sable]

😔

Ok you'll have to know your trig ratios + pythag

I am aware

ok what don't you get though

I don't know

How to identify

What type it is

Like tan

Cos

Sin

I'm pretty dumb

ok so firstly you gotta know what is what

and you'll have to immediately identify them

So you got the 3 sides

them being

Hypotenuse, Adjacent, Opposite

[wary stream]

Look at some videos, it'll be helpful

[alpine sable]

If you know the definitions of those words as they literally mean what they are defined to be

that would help everything

Ok so

Gonna do a very brief intro here

[alpine sable]

I would do that but I have less than 7 hours to turn it in and I don't think I can do that

The hypotenuse is the longest side in a right angled triangle, and is always opposite to the right angle.

[wary stream]

You can easily learn this from videos in like 30 minutes

[alpine sable]

The opposite is the side opposite to the angle

and the adjacent is adjacent to the angle

[wary stream]

Maybe even less

[alpine sable]

hypotenuse is static while the adjacent and opposite are dynamic

the adjacent and opposite vary depending on what you are solving for

Mhm

@wary stream mind if you help them imma just answer this dude rq

cause he's been waiting a while

[wary stream]

Sure, I can help

[alpine sable]

Okay so

[wary stream]

Can you repost the questions?

[alpine sable]

For 6

As an example

Whats the ratio

And explain why it is

Like sin cos or tan

Like which one is it and why

[wary stream]

Do you know SOH CAH TOA?

And what it means?

[alpine sable]

I've heard it before in class

I'm aware its a thing in trig

But I don't know

So do you know what the letters denote?

The letter in the centre is "on top" of the others, if they are on the bottom it means division

hard to explain this concept

just think of a "formula triangle"

Mhm

Where o=sh, or s=o/h etc

[wary stream]

I remember it as sin = opp/hyp, cos = adj/hyp, and tan = opp/adj

[alpine sable]

^that

So

I want to try number 6

Wait before I continue

Can yall check 3 4 and 5

[wary stream]

What was your answer for 5?

[alpine sable]

13.4

[wary stream]

I didn't see a decimal, but that's right

[alpine sable]

Okay thank you

Question

Do you accept friend requests

[wary stream]

6 - 8 is the same process as 5

[wary stream]

No

[alpine sable]

Okay

[alpine sable]

Okay thanks

Well thanks for your help

[slate idol]

are you done?

how can I get from y = 3/2 x + 2, to the simplified form 3x - 2y = -4?

[vapid swift]

multiply the equation with 2 first

[slate idol]

?

do you know how to use the image bot?

It really helps for me

[vapid swift]

you mean latex texting?

[slate idol]

idk

the discord bot that makes images of the questions

anyways what does 2 times the whole question look like

[vapid swift]

so let's see you have $$y=\frac{3}{2} x + 2$$

[ocean seal]

bratindra10

[slate idol]

yes that thing

[vapid swift]

now multiply it with 2 and you'll get
$$2y=3x+4$$

[ocean seal]

bratindra10

[slate idol]

k I understand

[charred root]

Please can someone help

[slate idol]

Im not done

[vapid swift]

next subtract 2y from both sides and you'll get
$$0=3x-2y+4$$

[alpine sable]

ooo drama in the math discord

[ocean seal]

bratindra10

[slate idol]

k

[vapid swift]

and then subtract 4 in both sides you'll get $$-4=3x-2y$$

[ocean seal]

bratindra10

[slate idol]

yes

thx

[short void]

I have no clue how to solve it.

[vapid swift]

hint: area of [AB]=area of sector OAB - area of triangle OAB

[charred root]

I think you woke out the area of the quarter circle and then minus the area of the isosceles triangle

[short void]

Nvm. I got it. I am so stupid

It is an easy question.

[alpine sable]

why is -2.X.EX = 0 ?

[robust phoenix]

what is it ?

[sage summit]

it's not 0

[alpine sable]

oh , so how do they derive the last row

[sage summit]

linearity of expectation

there could be a couple more intermediate steps for sure

[alpine sable]

ah i seee

ty

[short void]

I forgot that the other length was 15 (as that is the radius), lol

[gray lark]

Can someone help with this it’s quadratic equations

[sullen nova]

Anyone has a bone sticking out from the back of the head?

[sage summit]

it's called a horn, that's perfectly normal

[arctic zinc]

I thought this was math

[queen nova]

Does anybody know this? I'm not familiar with properties?

[alpine sable]

Sine rule

[lost steeple]

Look up sine law

https://gyazo.com/b56573d1044ec59d5e9ba28dde091ab6

Can someone run me down on how to do this

[alpine sable]

isn't this physics related?

[lost steeple]

Apparently not

It has something to do with the half life

formula

but I'm not sure how to apply it

[alpine sable]

$N\qty(t)=N_0\qty(\dfrac{1}{2})^\frac{t}{t_{1/2}}$

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

N(t) will be the substance remaining after the half life

N sub 0, will be your initial qunaitity

[lost steeple]

Hm

[alpine sable]

then you half that

[queen nova]

ty

[alpine sable]

then you power that

t will be the time elapsed

and t sub half would be the radioactive isotope's half life

[lost steeple]

40 = 50(1/2)^(1.6/h)

solve like so?

[alpine sable]

yup

[lost steeple]

Ok thanks

[bitter holly]

this is in the steps of a khan academy solution

so confused, how did the expression inside the parenthesis just flip?

wouldn't that require factoring out a negative -1 which would make the whole equation negative

[gray isle]

properties of squaring

[bitter holly]

oh wait fuck the exponent

my bad lol i got it

@gray isle wait but is there any reason in particular on why they did that

[gray isle]

looks nicer

doesn't really matter

[lost steeple]

https://gyazo.com/4d2f4966c8c8130e9604b2818eafd165

How can I solve this?

log 1/2 (4/5) = 1.2/h?

[bitter holly]

yup

[ocean seal]

sc

sc

[bitter holly]

oh wait lol that was dumb could've done it a little quicker lol

[ocean seal]

sc

[bitter holly]

enter that into ur calc ^

[alpine sable]

You sure that's right?

[ocean seal]

Πολλά άτομα είναι

[lost steeple]

https://gyazo.com/669c75fbbe6dafd718c5b615571d87e2

When someone says take the log of both sides does that mean
(k-2)log(2) = (k+1)log(3)

[glass lichen]

yes

[lost steeple]

(k-2)log(2) = (k+1)log(3)
klog(2) - 2log(2) = klog(3) + log(3)
klog(2) - klog(3) = log(4) + log(3)
k(log(2) - log(3)) = log(4) + log(3)
k = (log(4) + log(3)) / (log(2) - log(3))

Is that correct?

[bronze grail]

help

[alpine sable]

ok

what's that supposed to be

whatchu need help with

[gray lark]

I’m lost can someone help

[glass lichen]

use discriminant

[gray lark]

???

[hasty fjord]

I am lost with limits can someone help

[glass lichen]

what's the discriminant of a quadratic with a double real root

[gray lark]

D=>0

[covert gyro]

i have a bad feeling this is wrong

can someone confirm or deny

that says 16.2 btw

[hasty fjord]

Sorry I mean asymptotes

[alpine sable]

yes its ok just what the heck is that notation

[glass lichen]

wasnt talking to you

[alpine sable]

why write exponent on the left

[glass lichen]

no

a double root is discrim = 0

[covert gyro]

man i was rushing this test was already late 💀💀✋

[gray lark]

I’m still confused

[karmic rapids]

Why its wrong what i wrote here

[gray lark]

@glass lichen can u show me the steps

[glass lichen]

use the discriminant and solve the equation

[eager pebble]

So that thing at the bottom is the explanation of the problem

and it says the numerator derivative cannot equal zero

but i've seen some problems where the denominator cannot equal zero

so how do you know when something cannot equal zero?

[dreamy wharf]

he left already

[alpine sable]

lol

can i post physics questions here?

[dreamy wharf]

idk the rules for sure but yea i think u can

[alpine sable]

lol

[tight locust]

wtf

[pastel jasper]

How does it go from that squared thing to the expression written in white

i've just watched his video "trigonopmetric identities" as he mentions it is explained there

But i still don't understand

[dreamy wharf]

it is an identity you should know by now

you must have learnt it in previous grades

[pastel jasper]

erm

apparently not

[dreamy wharf]

just search for sin(A+B) identity proof on youtube

you must get some good explanation

[pastel jasper]

thanks

[daring helm]

Chris and Tom are playing backgammon. In backgammon, you roll two standard die on each turn. Chris
has four tries to roll doubles (two matching die); if he does roll doubles, he will win. What are the odds that
he wins?

[undone abyss]

theres a total of 36 combinations when rolling 2 die right

[daring helm]

yes

[undone abyss]

so you need to figure out how many of those combinations have matching die

then you have the odds

eg 2/36

which you can simplify if needed

idk if thats clear

[daring helm]

no 1/18 ik

[undone abyss]

how did you get that

[daring helm]

no simplifying it lol

[undone abyss]

that isnt the answer i was just saying thats how the odds would be shown

[covert gyro]

what is this 💀

[daring helm]

LMAO

[undone abyss]

i recognise that song

[daring helm]

still confused

[knotty sleet]

<@&268886789983436800> Can anyone get rid of the profanity sent a while ago? Thanks

[undone abyss]

ok so let me try again

[alpine sable]

beta male cant handle profanity

[night geyser]

dealt with

thanks

[undone abyss]

you know that there are a total of 36 possible combinations

[daring helm]

yes i do

[undone abyss]

and you need doubles to win

[daring helm]

yes

[undone abyss]

so you would need to know how many possible doubles you could roll

how many possible doubles can you get?

[alpine sable]

2+2 = 4. WHY?

[undone abyss]

?

[daring helm]

isnt it 6 possible doubles?

[undone abyss]

yes

so it would be 6/36 rolls you get a double

or 1/6

[zinc vigil]

what is a vertical inflection?

[daring helm]

ok thank you

[undone abyss]

thats the odds of getting doubles each time you roll

and if you roll 4 times

[daring helm]

2/3?

[undone abyss]

yes

[daring helm]

ok

[undone abyss]

you have 260 seconds in which you can earn a coin, and every second there is a 1/2048 chance of getting a coin

what are the odds of getting 1,2,3,4,etc coins in the 260 second time span?

(please ping on response)

would the equation y=1/2048^x * 260 work for this?

[alpine sable]

how do u map interval [a,b] into [c,d]?

[ionic jewel]

match the interval sizes with division, then add c-a to everything

[steel aurora]

$f(x) = (\frac{d-c}{b-a})x + (c-a)$

[ocean seal]

Atehortua

[ionic jewel]

$f(x) = \left(\frac{d-c}{b-a}\right)x + (c-a)$

ah there we go

[steel aurora]

yeah should be that

[alpine sable]

what is v

[ocean seal]

bunny

[ionic jewel]

it was v for value, but ive edited to make it a atehortau's function

[alpine sable]

so for example, what i would do to go from 0,255 to -1,1, is divide by 255, substract 0.5, and multiply by 2

[steel aurora]

substract 1

[alpine sable]

$\frac{1-(-1)}{255-0}x + (-1 - 0)$

[ocean seal]

equis de

[alpine sable]

no

[steel aurora]

what you want to do more concretely is either squish or stretch the interval then offset it

oh well yea I guess if you do it in that order

[alpine sable]

what i want is what i asked. go from a,b to c,d

[steel aurora]

yes? that is what it is

[alpine sable]

so, what should be x here?

[steel aurora]

$f: [a,b] \to [c,d]$

[ocean seal]

Atehortua

[steel aurora]

so $x\in [a,b]$

[ocean seal]

Atehortua

[alpine sable]

so each value, right?

[steel aurora]

yeah it’s any value in [a,b]

[alpine sable]

oh makes sense

here i go from 0-255 to 0-2

and then the -1

ok ok

thanks

[steel aurora]

👍

[latent pendant]

Can someone verify my answers?

[undone abyss]

<@&286206848099549185>

[alpine sable]

This is why

Lol

is this a?

[rotund grove]

i need help with that to 😭

[alpine sable]

https://www.desmos.com/calculator

😉

type in f and compare

I believe that the period of f is 4

but in that graph the period of that wave is just 2

so the period of g is 2

2\cos\left(\frac{\pi}{2}x\right) copy paste this code into desmos if you wanna see

[rotund grove]

hi! could u help me 😭

g(x)=-4sin(1/4)(x-pi)-2

that’s the problem i’m having problems with

lol

[icy notch]

can someone help please?

[rocky hull]

Q: Find the area of the figure below. Make sure you add units to your response. No spaces needed in response.

[ionic jewel]

split it into triangles and squares

[rocky hull]

thats how i did it, in the end i got 153

[ionic jewel]

looks right

[gray isle]

@icy notch apply properties/definition of an arithmetic sequence

[tawny schooner]

can someone just check my work on this one

[gloomy lintel]

The common difference is 6x-4

[spark ibex]

can someone help me with this

[tight locust]

like z=f(x,y)

[spark ibex]

so what should i say?

[tight locust]

consider firing a bullet from a gun. its speed is equal to sqrt(x^2+y^2) at any given point, where x and y are the horizontal and vertical speeds

[spark ibex]

can i just say that?

[tight locust]

now consider the partial derivatives

[spark ibex]

can you help me with this first lol

its easier and faster

This is what I have so far

<@&286206848099549185>

[ocean seal]

itsDaman ඞ

[lost steeple]

https://gyazo.com/41ba96acc7a3f0cf73f3a2fba01c6371

I know it's related to double time formula

But how do I do this

[spring harbor]

You know y = ba^t
y = 2b
So we can say 2b = ba^t
<=> 2 = a^x
a = growth => 1.04
Solve for t using logarithms

[lost steeple]

Ok so

why 1.5

[spring harbor]

Oh wait my bad it should be 2

It needs to double

b = start value

y = end value

end = 2 x start

y = 2b

[lost steeple]

Ok but

what is start and end?

it's not provided

[spring harbor]

It's just a way to say "start value = starting population" and "end = population we end up getting after t time"

It's not but you can cancel them out

Like I did

y = 2b
So we can say 2b = ba^t
<=> 2b/b = (ba^x)/b
<=> 2 = a^x

[alpine sable]

is there 2 or 3 asymptotes

[spring harbor]

An asymptote = value (line) that is approached at very large values x or y

you can think of it this way

[alpine sable]

yea so which ones would it be there

@spring harbor

[spring harbor]

Dunno

What do you think?

[alpine sable]

3

[wanton spoke]

Is this a linear pair? Or more of like just an adjacent angle?

the ? and 70 degrees

[gray isle]

same thing

linear pair refers to the 2 adjacent angles on a line

[wanton spoke]

that forms a 180

but idk if this forms 180

;alksdjf or im just dumb

[gray isle]

do you have two adjacent angles on a line?

if the answer to that is yes, you have a linear pair and those two angles will indeed sum to 180°

[bitter holly]

@alpine sable Yea thats what i figured thank you tho!

[wanton spoke]

ohh i see thanks

in order to find the ?, i need to 180 - 70 right?

[bitter holly]

yea

[wanton spoke]

okay thanks

[bitter holly]

think about when ppl say turn 360 degrees

you rotate your full body until you're back in the position you initially were in

[wanton spoke]

yeah just trying to make sure.

[tender bolt]

A small child came across a pile of pebbles while playing in a park. He decided to make a design by lining up the pebbles in rows. The first row had 7 pebbles. Each row had 4 more pebbles than the previous row. If the child made 15 rows, what is the total number of pebbles in the design?

how the hell do i show work for some bull like this

linear growth?

[glass lichen]

it's an arithmetic series

[merry burrow]

I need help with this

[gray isle]

consider the definition of a function

[merry burrow]

? @gray isle

[gray isle]

?

[mossy lion]

do you have the definition of a function in your notes or text?

[gray isle]

do you know the definition and/or properties of a function

[merry burrow]

No

[gray isle]

look them up

[merry burrow]

K then

It’s the relationship between one independent Variable and dependent variable @gray isle

[gray isle]

try to look for something about distinguishing a function from a general relation

[merry burrow]

If an input has more than one output it’s not a function but if it has one input and output it’s a function @gray isle

That’s what I got

[alpine sable]

dunno

[gray isle]

apply that

[merry burrow]

I’m still confused @gray isle

[mossy lion]

we cant do the problem for you. how many asymptotes do you think there are? is there anything there that you arent sure is an asymptote or not?

[tawny lion]

u1 = 7

d = 4

sum is n/2(2u1 + (n-1)d) if i remember right

ya ok it is

where n = 15

7.5(14 + 14 * 4) = 525

[merry burrow]

Can you help me with I

It

[gray isle]

if an input has more than one output it’s not a function
consider the values of x to be your inputs
and the values of y to be your outputs

[merry burrow]

Your explanation is not very clear lol

[mossy lion]

so look at your possible options. would any of them cause the function to have multiple outputs for a single input?

[merry burrow]

All of them?

Goddammit why is math so hard

[gray isle]

consider the options one at a time

[merry burrow]

I don’t understand it that’s the point I don’t know how to like put them in and stuff

[gray isle]

if you were to add,
x=4 and y=6
to the table,

would you have more than one value of y at x=4?

[merry burrow]

Yes

[gray isle]

and then apply the idea for the other options

[merry burrow]

Is it x=5 and y=3

[gray isle]

yes

[merry burrow]

UGHHH

THX

[craggy steeple]

so are u guys done here or still going

oh i think ur done

so can u help me with this

5/25x simplified

[tawny lion]

w

h

a

t

[gray isle]

that is ambiguous

$\frac{5x}{25}$?

[craggy steeple]

is it?

[ocean seal]

ℝamonov

[craggy steeple]

no

5/25x

put the x on the denominator

[tawny lion]

5/(25x)?

[craggy steeple]

ya

[gray isle]

\verb|5/25x| is interpreted as $\frac{5x}{25}$

[ocean seal]

ℝamonov

[craggy steeple]

oh

[tawny lion]

what is 3/9 simplified @craggy steeple

[craggy steeple]

1/3

[tawny lion]

ergo

what is 5/25 simplified

[craggy steeple]

is 5/25x just 1/5x

?

[gray isle]

[tawny lion]

👏 yeet

[craggy steeple]

o

what baout

[gray isle]

you really need those parentheses to clearly indicate your denominators for plain text fractions

[craggy steeple]

kk

what about 3x squared

over

12x to the 6th power?

[gray isle]

again be a little less ambiguous, use parentheses and proper notation as needed

all of (3x) being squared?

[craggy steeple]

yes

[gray isle]

all of (12x) being raised to the power of 6?

[craggy steeple]

yes

[gray isle]

$\frac{(3x)^2}{(12x)^6}$ would be represented as \verb|(3x)^2/(12x)^6|

[ocean seal]

ℝamonov

[gray isle]

do you know your exponent laws?

[craggy steeple]

uhh

not rlly

[gray isle]

it would be a really good idea to review / look them up

[craggy steeple]

kk

[rocky dock]

@gray isle im back, sorry

do you mind helping me find the range for this? i got all the others correct

[gray isle]

apply the same principles as before

you just have 3 pieces instead of 2

what have you got/tried so far?

[rocky dock]

ignore the selection

it's by mistake and i cant unclick it

uhhh

so i know y starts at -4

[gray isle]

yes, -4 will be part of the range

[rocky dock]

A and C are wrong

hmm

[gray isle]

why would you say A and C are wrong?

[rocky dock]

i was gonna say because 6 is included

and 6 has an open circle

which means its not apart of the range

[gray isle]

all those options include 6

[rocky dock]

yeah thats why i backtracked

[gray isle]

if y=6 at at least one value of x,
6 will be part of the range

[rocky dock]

even if it has an open circle?

[gray isle]

if y=6 at at least one value of x,
6 will be part of the range

it is possible for y to be something

that will be part of the range

[rocky dock]

look at those breaks

why isnt that reflected in the answers

or maybe im not seeing it

[lucid stump]

Guys I’m dumb so don’t laugh at me, I’m in 7th and I can do this ixl

[gray isle]

wdym not reflected in the answers?

[rocky dock]

due to all those breaks it seems like its either A or C

[gray isle]

yes

[rocky dock]

@lucid stump excuse me?

[lucid stump]

Help 😔

[rocky dock]

ok @lucid stump one sec

im almost done

[lucid stump]

Thank you bro, I’m just tryna keep my grade up before the school year ends and I’ve been doing this for so long now

[rocky dock]

@gray isle i will say it is

A

[gray isle]

yes

[rocky dock]

ok, thanks

go ahead @lucid stump

hope you figure it out bro

[lucid stump]

No I need help I’m dumb lmfao

[gray isle]

consider splitting your composite shape into simpler shapoes

[lucid stump]

I know you gotta split them up, but I can never

Find the area of the circle correctly

[gray isle]

don't self deprecate

[lucid stump]

Do I use A=3.14x r squared

So do I decide by 2 because it’s a half circle

[gray isle]

you don't have a half circle

you have a quarter circle

[lucid stump]

Oh

So do I decide by 1/4

[gray isle]

*divide

[lucid stump]

Yeah

Do I decide by 1/4

Decide

[gray isle]

*divide

[lucid stump]

Decide

Devide

[gray isle]

assuming you found the correct radius and applied the correct formula, yes

[lucid stump]

Okay so ima try to do it, and could you pls check it for me

🙏

Alright so I got 45+55+17.625

117.625

[gray isle]

is not what i'm getting

[lucid stump]

Huh

Did I get the wrong radius

[gray isle]

what's your radius?

[lucid stump]

5

[gray isle]

your radius is wrong

[lucid stump]

Alright so correct me, pls

Alright so I did 9-4

[gray isle]

how are you getting 5 for the radius?

[lucid stump]

Then 15-5

[gray isle]

15 - 5 isn't 5

[lucid stump]

Then that’s the diameter

[gray isle]

why would that be the diameter?

do you know what a circle / quarter circle looks like?

[lucid stump]

Wait the diameter is 15

[gray isle]

no

the diameter isn't 15 either

[lucid stump]

Man I’m confused

I have got taugh half circles

[lucid stump]

Yes

[gray isle]

that is a quarter of a circle

those will be the r

[lucid stump]

So do I subtract the 5 for the 15

[gray isle]

which is just 15-5 = 10

nothing else

[lucid stump]

Oh, so the radious is 10

And I don’t half to half it

?

[gray isle]

why would you half the radius?

[lucid stump]

Oh cause the diameter is 2x the radious right

[gray isle]

but you have the radius

[lucid stump]

So that means when you have the diameter you decide by 2

[gray isle]

you don't half the radius to get the radius

the radius is the radius

[lucid stump]

Wait but I thought that was the diameter

Oooooh is it becauxe the circle is half, it already takes a center point

So you don’t have to half it like usual?

[gray isle]

your quarter circle is a quarter of that shitty circle with the green diameter d

15 - 5 = 10
gives you the radius of that shitty circle

[lucid stump]

💀 I’m sorry bro, I’m just bad

Okay

Man I feel terrible, thanks though. You a mathematician or som?

So 45+55+314

@gray isle

[gray isle]

no

remember, you have a quarter circle

not a full circle

[lucid stump]

So decide by 1/4

Devide

[gray isle]

*divide

why does it keep coming out as decide

[lucid stump]

Autocorrect, my bad

44+55+78.5

45*

177.5

I think that’s it

[alpine sable]

https://gyazo.com/7ba1207bc78c4fc831eaed94b72bd18f?token=227b735b3ed5c0a23b15cea4117d93be

[lucid stump]

Replace x by 5 y=-3

Hey @gray isle help this dude pls, thank you for your help, I’ll try my best 😁

[ionic jewel]

why would you ping ramonov to help

but for the first one

Since $y = x-8$, and $x=5$, you can substitute it into the first equation to get $y=5-8$, which is now simple arithmetic

[ocean seal]

bunny

[lucid stump]

Oh I’m sorry, I just wanted to help, my bad, have a good day

[summer gust]

man i wish this was the typa math i still had to do

[ionic jewel]

really?

[lucid stump]

My math is hard

[ionic jewel]

hard math is better than easy math

[lucid stump]

I have to do half circles

[glass lichen]

semicircles

[lucid stump]

Oh

[ionic jewel]

demicircles

[lucid stump]

Well it’s 1/4 of a circle so it’s harder

[summer gust]

engineering statistics with a professor who barely speaks english so its essentially learn it urself on youtube 🙂

[ionic jewel]

semidemicircle

[slender forge]

That was my calculus 2 class

[lucid stump]

See super hard

[summer gust]

oh its also a 7 week sped up course lmao

[slender forge]

Does ur course have calculus in it?

[summer gust]

yea

[ionic jewel]

i think most stats/probability courses have calc

[slender forge]

That’s how mine is

[slender forge]

AP stats doesn’t

[lucid stump]

What is that

[summer gust]

i shuda taken it wtf

[lucid stump]

What do even do do in calculus

[summer gust]

ap stats wuda covered my stats credit

[lucid stump]

Man y’all super smart

[ionic jewel]

calculus is mostly based around integrals and derivatives

[slender forge]

Cut like that

[lucid stump]

I know but how do I find the radious of the half circle

[ionic jewel]

assuming thats a semicircle, the diamater is 19-12

[lucid stump]

Is it 8?

[ionic jewel]

no

[lucid stump]

So 4

?

[ionic jewel]

wait mine was wrong too but its not 8

its the length of the bottom side - the rest of the length of the top side

[slender forge]

Diameter=6

[lucid stump]

Oh so the radious is 3

[ionic jewel]

yes but just giving it to him doesnt really help him learn

[lucid stump]

Wait how did you get rhat

[slender forge]

Do u see the bottom of big rectangle

[lucid stump]

Yeah so 19+7

[ionic jewel]

he added the 19 and the 7 on the bottom, then subtracted the 12 and 8 from the top

[lucid stump]

26-20?

[ionic jewel]

yes

[lucid stump]

Yeah

Okay

Thanks

😁

[slender forge]

Are u in prob stats?

[summer gust]

yea

[slender forge]

1 or 2?

[lucid stump]

So I got 119+171+56.52

Oh sorry

[summer gust]

mah university only has 1 class for it

so i guess 1? i dunno

[slender forge]

Did u guys do like the exponential distribution?

[summer gust]

am doing covariance of linear combinations rn

still mid class

[slender forge]

If u need help lmk I might be able to

[lucid stump]

@slender forge I love you bro I got my first question right on the ixl

[slender forge]

What is the ixl?

[lucid stump]

The one we just solved

[slender forge]

Nice good job

[lucid stump]

How are you so smart

Do you just practice all day?

[slender forge]

Who?

[lucid stump]

You

[summer gust]

lol

[glass lichen]

IXL is a practice question site

[slender forge]

Cool I’ve never heard of it until now

[slender forge]

Thank you haha

[lucid stump]

Yeah totally man, hope your classes go well

Calculus or algebra

[slender forge]

Thank you u too I’ve been studying for a test in July

This is some of calculus

[lucid stump]

🤨

What is that

[slender forge]

It’s prob stats

[lucid stump]

Man what grade are you in if you don’t mind me asking

[slender forge]

Just finished my freshman year of college u?

[lucid stump]

COLLEGE

what, I’m in 7th, but I take 8th grade math

😎

[summer gust]

what u majoring in?

[lucid stump]

What are you majoring in what the

Yeah

Am I already being given the diameter with the 10?

[slender forge]

Actuarial science

[slender forge]

It looks like the radius

[lucid stump]

What do you in actuarial science

[slender forge]

That looks like a quarter circle with radius 10

[lucid stump]

Okay, I’m a little confused what is the radious and what is the diameter.

[alpine sable]

no.

[sullen echo]

Radius is half of diameter

[slender forge]

Look at it always as a full circle a diameter goes fully across radius goes halfway

[slender forge]

Lots of math

[lucid stump]

What kind of jobs do you get, I assume tons of money comes from the job

So the diameter is half of the circle, and since the circle here is 1/4 it’s the radius?

[slender forge]

You become an actuary (ik not very revealing as to what it entails lol)

This is a quarter circle

With radius 10

[lucid stump]

I’m not quite sure what an actuary is

[slender forge]

Insurance

[lucid stump]

Why did you decide to go into it

?

I get now I think thanks

[slender forge]

I like calc and stats

[summer gust]

lol

comp sci major and i hate calc and stats 😄

[mossy lion]

ah well thats a shame then. good luck

[lucid stump]

Wow you guys are a lot older

[slender forge]

I just finished calc 3 and prob stats 2 in April lmk if u need help

I also took linear algebra (but with a sucky teacher)

[summer gust]

aight

ill start mah homework now and see if i know what im doin or not

[slender forge]

Which is it?

Stats?

[summer gust]

prob and stats

yea

[slender forge]

Ok good I like this one lol

[lucid stump]

Man, thank you sd7 I didn’t get taught half circles and semicircles, and im actually getting some right

Now

[ionic jewel]

half circle is the same thing as a semicircl

e

[slender forge]

^

[lucid stump]

Well I don’t know the names, but you get what I mean

I wasn’t taught lol

[ionic jewel]

yeah its fine just so you know inthe future

[lucid stump]

What are the 1/4 circles called just so I know

[wary stream]

Quarter circles? I think

Actually, Google says it's called a "quadrant"

[slender forge]

I’d just say quarter circle tbh

[ionic jewel]

semisemicircle /s

[alpine sable]

Is this busy

[oak chasm]

hemidemisemicircle = eighth of a circle

[errant void]

how do you solve when you have an angle

[wary stream]

You're just combining prefixes and making up words

[wary stream]

Trig functions

[alpine sable]

Help pls

[young abyss]

as an answer to the question you asked me, no

[alpine sable]

@young abyss you again

[wary stream]

No need to be hostile

[ionic jewel]

just wait until you see 1/2048 of a circle

[young abyss]

it was a joke 😐

[young abyss]

😈

[wary stream]

What's that term? I'm curious

[ionic jewel]

semidemisemidemisemidemisemidemisemidemicircle

[slender forge]

Lmao

[wary stream]

You definitely just put prefixes on the word "circle" and made up a new word

[lost steeple]

https://gyazo.com/858b3b768344ac024d5234d1ee4daa67

Could someone explain how I can do this?

[ionic jewel]

new population = old population * (1 + increase)^years

[lost steeple]

Ok

ty

Is

70/4

also an option?

I was told double time can be found by 70/growth Percent

[ionic jewel]

where did you even get 70

that doesnt sound right at all

[lost steeple]

ok

[ionic jewel]

,w 70/4

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[ionic jewel]

its actually pretty close

but I cant imagine thats more than a coincidence

[lost steeple]

Ok

[ionic jewel]

use the formula I gave for increase

[lost steeple]

https://gyazo.com/47918fe4ffd37e3de42bc5a0caebb5c6

Do you happen to know how to do these earth quake comparisons

[oak chasm]

The M is the intensity on the Richter scale.

[lost steeple]

What is I and I subscript 0

[oak chasm]

I_0 is the intensity at a Richter scale reading of zero.

I is the intensity at a Richter scale reading of M.

[lost steeple]

So 4.5 it would be
4.5 = I_0(10)^4.5

[alpine sable]

how would I solve for volume?

[oak chasm]

@alpine sable Sorry, channel is busy.

[lost steeple]

and solve for I_0?

[alpine sable]

my apologies

[oak chasm]

No, solve for I in both.

[lost steeple]

So 2 expressions?

[oak chasm]

Yes.

[lost steeple]

4.5 = I_0(10)^4.5
7 = I_0(10)^7

[oak chasm]

No.

[lost steeple]

then I subtract them

[oak chasm]

It's not M = I_0(10)^M.

It's I = I_0(10)^M.

[lost steeple]

What does this mean then

Oh wait does M mean Magnitude

and Intensity is a different measurment

[oak chasm]

M is the Richter scale reading, I is the intensity.

Right.

M is a logarithmic measure, I is a linear measure.

[lost steeple]

So this is when M = 0

[oak chasm]

Yes.

I = I_0(10)^0 = I_0

[lost steeple]

but when M = 0 the value is 1?

I = I_0

[oak chasm]

No, it's I_0.

I_0 times 10^0 = I_0 times 1 = I_0

So, I_0 is the intensity when M = 0.

[lost steeple]

ok so I_0 = I

[oak chasm]

When M = 0, yes.

[lost steeple]

Wait so how do I find intensity

If I don't know I_0

[oak chasm]

You fill in M to the formula and find I.

You don't need to know I_0 for this problem.

[lost steeple]

Why?

I = I_0(10)^4.5
I = I_0(10)^7

[slate fossil]

How do we type the square root in keyboard?

[lost steeple]

sqrt(x)

idk the actual sign

[oak chasm]

Because the answer will be something like the intensity at 7 is x times greater than the intensity at 4.5.

[slate fossil]

Hmm.

[unkempt sigil]

guys quick question, is this considered break even?

[oak chasm]

@unkempt sigil Sorry, channel is busy.

[unkempt sigil]

oh sorry

[lost steeple]

In order to determine that I would need to know the intensity so I1/I2

But I can't solve without I_0 no?

[oak chasm]

Right, and the I_0s will cancel.

So you don't need I_0's value.

[lost steeple]

Wait I don't get it

How will they cancel

[oak chasm]

You have an intensity with I_0 in it over an intensity with I_0 in it.

Since it's a factor on top and bottom of a fraction, it cancels.

[lost steeple]

Oh

so I keep it

[oak chasm]

Yes.

[boreal canyon]

@lost steeple this is a problem of inequality so you need to know only the ratio of the intensities to find which one will have a greater value

[lost steeple]

So the result will look like:
(I_0(10)^7) / (I_0(10)^4.5)

then the I_0 cancel and then I'm left with the ratio

[oak chasm]

Yes, exactly.

[lost steeple]

Thanks

[oak chasm]

No problem.

[unkempt sigil]

Guys quick question, is this considered break even?

[gray isle]

context?

wdym by break even?

is that graph representing something like profit?

[gray isle]

what's c

[unkempt sigil]

yes

[unkempt sigil]

thats what im finding

[unkempt sigil]

for now its 0

[slate fossil]

What is the divide symbol in keyboard?

[sullen echo]

/

[slate fossil]

other than that.

[oak chasm]

@slate fossil Sorry, channel is busy.

[unkempt sigil]

i found p, im just wondering if the graph i sent above is considered break even

[oak chasm]

It's hard to tell unless you know s.

[unkempt sigil]

s is 1.5

[oak chasm]

Now it's even more confusing, since you can't sell a noninteger number of games.

[unkempt sigil]

the the max debt correct? this is considering that that graph i sent above is considered break even

[lost steeple]

is there no c?

[gray isle]

what is c supposed to represent

[lost steeple]

Also why are you solving for when profits are 0?

[gray isle]

is it like the cost of production that I suspect was mentioned earlier in the overall problem?

[unkempt sigil]

Idk if this is correct

[unkempt sigil]

it repesents like the vertical shift of the graph

[unkempt sigil]

no

i think the c is zero because my company started with no money

[gray isle]

i guess you should leave c as c

your answer will be in terms of c

instead of assuming its 0

[unkempt sigil]

oh so its not p then?

[gray isle]

what's not p

[unkempt sigil]

my answer, or the -9

[gray isle]

like is there anything before this? is this part of a larger problem?

[unkempt sigil]

no

[gray isle]

because its really crap of them to have c in there and not tell you what its supposed to represent

[unkempt sigil]

this describe my math teacher so well 🤣

[unkempt sigil]

anyways, thanks for your help!

[alpine sable]

Any help🙏

[celest void]

Can someone explain how this is possible

isn't alpha ' the transpose of alpha?

so one vector has the dimension 1x3 and the other vector has the dimension 3x1 so how is the scalar product of those vectors defined?

[tender bolt]

Find the exact value of Tan(225). First use the Reference Angle Theorem. Then use values obtained from the 45, 45, 90 degrees Special Right Triangle. *

can someone please explain

[sly mantle]

they're 1x3 & 3x1 matrices. their product as matrices gives their scalar product as vectors

[celest void]

wait could you elaborate a bit more

u mean product as in just like dot product as if they were both 1x3 matrices?

or do you mean multiplication

[proven hamlet]

I need help with area

[sly mantle]

we only talk of a dot product of vectors, not matrices. but the product of 1x3 & 3x1 matrices works out the same way as the dot product if the matrices are written as vectors

[celest void]

ah wait so matrix multiplication of like two vectors of this format would somewhat give you the dot product right?

I can see what you mean like i tried multiplying those two matrices aka 1x3 and 3x1 and i do indeed get the value

i was just curious whether it's defined like this generally

[sly mantle]

@celest void technically alpha & beta are 3x1 matrices, NOT vectors in R^3, so it doesn't quite make sense to take a dot product

but the matrix product $\alpha^T\beta$ works out just like the dot product $(1,3,-2)\cdot(-1,4,-3)$

[ocean seal]

RokabeJintaro

[celest void]

I see but wait how did you know those are matrixes not vectors?

Because the subtopic is named scalar product of vectors so i was assuming alpha and beta were the vectors itself

[celest void]

I see, that's something new ty

Is there a notation difference when we're trying to express alpha and beta as vectors instead of matrices?

[sly mantle]

vectors (in R^3 ie 3d space) are tuples, written as (x,y,z) where x,y,z are numbers. note the format

[celest void]

I see but i happened to have a question where they said something like $\alpha_1 = (1,2,-1,1)' , \alpha_2 = (1,-1,0,1)'$

[ocean seal]

Serena!

[celest void]

So would you say these are vectors even though they're expressed similarly except the fact that they're expressed in tuples unlike the other one i posted prior

in this case, i'm assuming that i have to transform these vectors into matrices and then do the matrix multiplication which i think yields the answer but just a bit confused with the notation and stuffs

I guess $\alpha_1 \cdot \alpha_2$ would be defined but i was just curious what goes with $\alpha_1 ^{T} \cdot \alpha_2$

Just matrix multiplication of one 4x1 matrix and another 1x4 matrix?

[ocean seal]

Serena!

[sly mantle]

the dot product is defined for vectors in R^3 but not 3x1 matrices, and matrix multiplication (as well as transpose) is defined for 3x1 matrices but not vectors in R^3

[alpine sable]

oof

[sly mantle]

continuing my last msg: vectors in R^3 can be rewritten as 3x1 matrices & vice versa. after changing object types, we can then perform whatever operation makes sense for the new object type, and you should see there are many operations on vectors & matrices that work out correspondingly, eg the above matrix product & the dot product. another example is matrix addition & vector addition. so the distinction between the object types isn't too important to computation

[native temple]

how to solve this?

[sly mantle]

@native temple use an unoccupied channel

[native temple]

sorry

don’t ban me

[celest void]

Thank you! That makes more sense now

[hardy vault]

can you guys help?

[native temple]

volume formula again?

[pastel jungle]

wouldnt you get a common denominator between them all and then divide the one for honey?

[hardy vault]

found it

it was 1.2

[native temple]

how?

[hardy vault]

so yo make a equation

you*

1/1+x=1/7

that means x = 6

and since honey is 1/5

you do 1/5*6

which is 1.2

liters

[native temple]

how to find foci?

[open jewel]

Help !!

[ionic jewel]

do you know algebra?

[open jewel]

No

Can o get the answer for A

[lapis harness]

reverse the steps ?

[keen mulch]

can some one help me with the 1st Qn

[shell widget]

@keen mulch multiply divide by 1/sqrt(2)

and then you have cos(11) * 1/sqrt(2) + sin(11) * 1/sqrt(2) in the numerator

recall that 1/sqrt(2) = sin(45) = cos(45)

so you can write it as cos(11) * sin(45) + sin(11) * cos(45) in the numerator

same for denominator

then use sin(a+b)

[craggy dirge]

how would i do this?

anyone?

[tardy timber]

I believe you would take the three partials with respect to x y and z, plug in the values and compare the values

see which one is greatest

[craggy dirge]

can u expand i dont rly understnad

[ionic jewel]

$\max\left[f_x\left(0,\frac\pi2, 1\right), f_y\left(0,\frac\pi2, 1\right), f_z\left(0,\frac\pi2, 1\right)\right]$

[tardy timber]

^

[craggy dirge]

ohh i see

[ocean seal]

bunny

[craggy dirge]

P_x just means slope of tangent in the xz plane right

[tardy timber]

partial derivative wrt x

[craggy dirge]

yes i know that

but im asking about what it represents

[languid haven]

Does anyone know what "there are eleven (unordered) pairs of discs that intersect" means?

And also "at least one common point"

[prime badge]

if 1 intersects with 4 and 4 intersects with 1 that's 2 pairs

unordered means they count as 1

[languid haven]

so it's vice-versa

that's all it means

[craggy dirge]

for my earlier question

i calculated and f_x gives me the greatest value

does that mean it increases the most in the x direction?