#help-0

1 messages Ā· Page 792 of 1

next bridge
wary stream
#

That's the more accurate answer

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12.17 should suffice

next bridge
#

ig one sec

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onee secc

next bridge
#

it worked-

next bridge
next bridge
wary stream
#

Told you, the answer you had before was not accurate enough

next bridge
#

NAH BUT FR THANK U SOOOO MUCHHH

fresh relic
#

This would just be x+y right? So 17?

wary stream
next bridge
wary stream
next bridge
#

thanks again

opal ore
fresh relic
#

so its just 6+11 right?

#

ok perfect

#

And then this one is this right?

cursive lagoon
#

ohh

tough hatch
fresh relic
#

practice

tough hatch
#

can you screenshot the name of the activity?

fresh relic
#

If you are trying to insinuate that I am cheating or something I am not

#

we have a discord for the class where you can ask for help but no one is answering so thats why I am here

tough hatch
#

questions like this look like those encountered in tests, hence why i asked

fresh relic
#

But for the one I just sent thats the right answer right?

#

you just condense it into that?

tough hatch
#

sure

next bridge
wary stream
#

Please don't specifically ping me

next bridge
#

oh sorry

wary stream
#

What question did you have

fresh relic
#

this is 2021 right? because the e counts as a term?

jagged imp
#

what e as in... the irrational number?

fresh relic
next bridge
#

this one dl

tough hatch
jagged imp
#

what does e mean here

fresh relic
jagged imp
#

if it means the irrational number 2.7.... this question seems nonsense

fresh relic
#

does anyone know?

opal ore
#

I think eulers, bc of natural logs? not 100% sure tho

wary stream
#

(1/2)bh

next bridge
#

ya

#

but

#

idk the base and height

stiff lance
#

Hello, could someone help me please?

wary stream
#

You used the distance formula to find it already

next bridge
fresh relic
#

so nobody knows the answer?

stiff lance
jagged imp
#

appo i cant think of what e could mean here other than eulers number, and if it means that the question is nonsense. unless you've got any other ideas as to what it means, its kinda 🤷

next bridge
tough hatch
#

e^2020 unfortunately has infinitely many digits

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so this question was probably worded incorrectly

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@fresh relic

fresh relic
#

wouldnt it be 877?

wary stream
fresh relic
#

because you do 2020 x log(e)

#

right?

#

nevermind that is wrong

#

im so confused

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I have a massive headache again

#

you should go to another channel because I am in here right now

next bridge
jagged imp
#

appo if you can skip or flag the question, just do it. The question is either nonsense or you're using an abnormal meaning for e

next bridge
fresh relic
#

I was getting help in here and you just barged in

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this channel was occupied asshole

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thats what im talking about

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are you?

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Look at your profile picture

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<@&268886789983436800> please deal with this guy

wary stream
#

Please stop with this

fresh relic
#

the guy came into an occupied channel causing problems

sly mantle
#

b&

fresh relic
#

thank you

wary stream
fresh relic
#

do any of you guys know how to do this?

sacred sapphire
next bridge
wary stream
#

Just 0.5

next bridge
#

OH

wary stream
#

Because (1/2)bh

fresh relic
sacred sapphire
#

im attempting rn

fresh relic
#

Precalculus

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how did you get that answer?

ancient saddle
#

Hello, you could use this property

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$\log_a b \times\log_b c = \log_a c$

woeful pulsar
#

or the change of base formula

ocean sealBOT
#

leonardogtf

fresh relic
#

how do you know which numbers to use?

wary stream
ocean sealBOT
#

dldh06

sacred sapphire
#

you just keep collapsing the series using the formula that Andrew mentioned

upper thistle
#

can anyone explain why these standard deviations are what they are?

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I'm not sure how the top one is 1.59 and the bottom is 2.79 or is it just arbitrary?

tranquil scarab
#

low spread = low standard deviation

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more spread = high standard deviation

wary stream
#

You can also use the standard deviation formula too

upper thistle
#

but are the values arbitary?

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what is the standard deviation for this graph? how can I find it

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if there was no y axis

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ok... but how?

idle brook
#

I was wondering how (5+x)^2 turn into ((5+x)/x)^2, could someone please help me explain? thanks.

tough hatch
# upper thistle

the distance from the mean of the values that are farthest from the mean is proportional to the SD

upper thistle
#

I don't know what that means

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no pun intended.

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is the SD a?

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like 1a

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is the standard deviation?

tough hatch
#

the mean is located at the dashed line

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now look at the circles farthest from that dashed line in each distribution

upper thistle
#

circles?

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I don't see any circles

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or dashed line

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all the lines I see are solid

tough hatch
#

you'd notice that the green circles farthest from the dashed line are closer to it than the blue circles farthest from their own dashed line

upper thistle
#

oh you are talking about the first image I sent

tough hatch
#

yes

upper thistle
#

but how did they get those specific numbers is my question

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1.59 and 2.79

tough hatch
#

depends on what the mean for the green distri is

upper thistle
#

so there's no way to get those numbers otherwise

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ex. how is the sd found here?

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why is red 10 and blue 50

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exactly

tough hatch
#

from the looks of that (first) pic alone it was probably just meant to illustrate the proportionality of the distances of the values farthest from the mean and the standard deviation magnitude

upper thistle
#

ok so it's just arbitrary

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but for the newest pic I sent

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how is it determined? cause this one has y values

tough hatch
#

depemds on what distributions these are

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continuous, yes, but there are kinds

sleek yarrow
#

lol imagine being in the 9th grade

upper thistle
#

couldn't be me

fiery basin
upper thistle
#

your soul is mine

fiery basin
upper thistle
#

that looks like a stick man

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wearing a dress

fiery basin
#

I learned it last year but I forgot how to do it.

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Thanks tho

barren jacinth
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help please how do i turn this to a reduced row echolon form

teal vessel
#

idk

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also what is that line and the 4th column?

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i can do rehelon for 3x3

glass lichen
teal vessel
#

oh okay

glass lichen
barren jacinth
glass lichen
#

You dont

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You just keep it there as you go through the algorithm

barren jacinth
#

so there would be no leading 1's in that column?

tough hatch
#

make the second leftmost entry in the second row a leading 1

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then apply the corresponding ero's

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@barren jacinth

barren jacinth
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what do i do ext

tough hatch
#

i prefer performing R1-R2 after dealing with the row of a+1 though

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you know that the 1 in the second column, second row must be a leading 1

barren jacinth
#

yeah

glad moon
#

Can someone help me with finding the midpoint of 0-6.99 with frequency of 1

barren jacinth
#

so i just turn a+1 to 0 and work from there?

stone crystal
#

how to find y bar

tough hatch
#

wait no

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perform the ero such that a+1 would become zero

barren jacinth
#

I think I have to keep the "a" because the question is asking for what values of "a" would result in no solution, unique solution or infinite solutions

tough hatch
#

not setting a+1=0

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yeah, so a would be shoved into at least either the third or fourth columns

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perform the ero first

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R3 - (a+1)R2

barren jacinth
#

okay

glad moon
#

Can somebody quickly fact check this for me

sleek yarrow
fiery basin
#

K

harsh nimbus
#

how do you find which type of discontinuity a function is?

teal vessel
sleek yarrow
glad moon
fiery basin
teal vessel
#

mhmm nron

sleek yarrow
fiery basin
teal vessel
#

oh wait

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my nitro ended

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smh

sleek yarrow
#

you spent money on discord

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damn bro

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sad

fiery basin
#

Imagine

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Like that's a whole dif level of cring

sleek yarrow
#

goverment housing moment

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@fiery basinwhats your pfp?

fiery basin
#

When I was like 3

sleek yarrow
#

damn bro

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old baby

fiery basin
#

Mugshot

#

I look disapproving of every generation other than mine

sleek yarrow
#

bro this is the tik tok generation

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nick whats your school like

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old or smt

fiery basin
#

What?

sleek yarrow
#

chicken butt

fiery basin
#

Are you asking what it's like in my school?

sleek yarrow
#

yeah

fiery basin
#

It's the same

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As middle school

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But more relaxed

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And middle school sucked

sleek yarrow
#

damn bro

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I'm a freshman in college

fiery basin
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damn bro

sleek yarrow
#

damn bro

fiery basin
#

damn

sleek yarrow
#

damn

fiery basin
#

dang

sleek yarrow
#

what math you in

fiery basin
#

Algebro 1

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It's easy

sleek yarrow
#

lame

fiery basin
#

So far

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We are literally doing -6+5

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I'm not even joking and I'm the smartest one in the class

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I think I'm in sped class

sleek yarrow
#

I can tell

fiery basin
#

Same

sleek yarrow
#

I'm in a school thats top 20 for my engineering major

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not to flex

fiery basin
#

I want to go to a trade school

sleek yarrow
#

🦾

#

what you want to be

fiery basin
#

You cant flex on someone who doesn't know wtf you are talking aboutwoke

sleek yarrow
#

I am in a school top 20

fiery basin
#

Ok

sleek yarrow
#

for my specialty of engineering

fiery basin
#

Nice

sleek yarrow
#

ik

fiery basin
#

I'm taking a specialty class

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For specialty kids

sleek yarrow
#

you sound dumb bro

fiery basin
#

Mmmmm

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Yeah a lil bit

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I doubt you are in collage

sleek yarrow
#

I actual am

fiery basin
#

You talk like an immature 12 year old

sleek yarrow
#

maybe because I am "not in the right state of mind"

fiery basin
#

So what are you. 20 something?

sleek yarrow
#

if you understand what I am alluding to

fiery basin
#

Yeah I can fuckin tell

fiery basin
#

Still kicking round? Poking at kids? Nice. Must be pretty boring having nothing better to do huh?

sleek yarrow
sleek yarrow
#

and I am just on my computer bored

fiery basin
#

And you aren't socializing

sleek yarrow
#

no

fiery basin
#

Then go talk to someone

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This is why you aren't in the right state of mind

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There is a party, you aren't talking to anyone. Just fucking with 9th graders and flexing your 1 interesting thing and that's collage. I'd wrather go do something and be happy than just be smart and brag abt it to younger people.

sleek yarrow
#

damn I am being roasted

fathom sequoia
#

awkward man

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awkward

fiery basin
#

Damn

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It's just sad now.

sleek yarrow
#

I am not lying

finite mesa
#

shouldnt this be (66 S) * ( 216Z /212S)

sleek yarrow
#

arf

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we are talking

#

here

fiery basin
#

BrošŸ’€ stop talking. You are making with worse.

fathom sequoia
#

Yeah man, you got roasted

fiery basin
#

Go talk to someone

#

There is people right there. They are probobly judging you.

sleek yarrow
#

naw they all drunk I have a midterm monday

fathom sequoia
#

@sleek yarrow you seem like a nice guy though

sleek yarrow
#

so I want to study tommorow

sleek yarrow
fathom sequoia
fiery basin
#

Not really nice sounding

fathom sequoia
#

no its not sarcasm

fiery basin
#

A literal dick right off the bat for nothing

sleek yarrow
fathom sequoia
#

k

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but U were kind of showing off I guess

sleek yarrow
#

How are you TJ898

fiery basin
#

The first thing he said was "imagine being in 9th grade"

fathom sequoia
sleek yarrow
#

yeah I was showing off

fiery basin
#

Yeah

sleek yarrow
#

I am just bored

fathom sequoia
#

dude everyone was in 9 grade once

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9th

sleek yarrow
#

I know its just funny

sleek yarrow
fathom sequoia
#

how

fathom sequoia
sleek yarrow
#

thats great

fiery basin
#

Sherwood.... Imma tell you something. You are bored? Go talk to someone. Doesn't matter if their drunk. At least there is some convo. Sitting here isn't helping either.

fathom sequoia
#

I am an 11th grader @sleek yarrow are you gonna laugh

fiery basin
#

It's better off doing the minimum than nothing at all.

fathom sequoia
sleek yarrow
sleek yarrow
fiery basin
#

You got any friends in real life? Not tryna be mean.

fathom sequoia
sleek yarrow
#

they split alcohol all over my rug

#

now it smells like ethonol

fiery basin
sleek yarrow
fiery basin
sleek yarrow
fathom sequoia
#

@sleek yarrow do you use latex

fiery basin
#

Don't you get bored tho just taking on the internet tho.

sleek yarrow
#

no not really

sleek yarrow
fathom sequoia
sleek yarrow
#

oh you mean latex like the software?

fathom sequoia
#

yeah

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the code

sleek yarrow
#

No I have notabilty for my classes

fiery basin
#

Coding is fuckin hard man.

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I tried to do something in c++ with a tutorial and still couldn't do it.

sleek yarrow
#

I love c++

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I hate java

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html is fun but it's not real coding

fiery basin
#

I haven't tried java

fathom sequoia
sleek yarrow
#

don't it garbage

fathom sequoia
#

Try Java or C#

#

or Python

#

Wtf, Java is the most popular language

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Although C# is better

fiery basin
#

Java isn't garbage

sleek yarrow
#

I program alot of mirco-controllers with c

fathom sequoia
#

C++ is low level so its harder to learn so I would recommend something else

sleek yarrow
#

I love it

fiery basin
#

Or it wouldn't be used so much

fathom sequoia
#

But now Kotlin is overtaking it in popularity

fiery basin
#

Never heard

sleek yarrow
#

do you guys live in the US?

fiery basin
#

Yes

fathom sequoia
#

I mean mostly for android development nobody uses Java these days

#

Nah Im from NZ

fiery basin
#

I have a neighbor from there

fathom sequoia
fiery basin
#

I thought she was Australian

#

I cant tell the difference in accent

#

They sound the same

fathom sequoia
#

There si adifference

#

Kiwis dont pronounce e's and i's

fiery basin
#

Yeah to you but not to me

fathom sequoia
#

like Fish is NZ is 'Fush' and in Australia it's 'Fish'

#

Ah K

#

Sometimes the kiwi accent throws me off lol its so bad

fiery basin
#

feesh

fathom sequoia
wary stream
#

If you guys wanna have off topic conversations, do it in #chill

#

Don't clutter up a help channel

wintry vortex
#

this room in use still?

wary stream
wintry vortex
wary stream
#

All you do is use trig functions

wintry vortex
#

so I took and found all the points by doing Ax=Acos(theta)

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or sin for y

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subracted pole from building

wary stream
#

Just pure, sine, cosine, or tangent

wintry vortex
#

to get Rx

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Im just trying to figure out what im doing wrong =/

wary stream
#

Oh wait, I might be wrong

wintry vortex
#

then did sqrtRx^2+Ry^2 to get the distance between pole and building

wary stream
#

Don't you just do pythagorean theorem?

wintry vortex
#

but its wrong

wary stream
#

Find the missing side of the triangle

wintry vortex
#

Would that get me the distance? cause the steps told me to do all that, but i messed them up or they werent right haha

#

so just a^2+b^2=C^2?

sacred sapphire
#

i think u gotta use cosine rule

wary stream
#

If that doesn't work, then law of cosines

wintry vortex
#

thts what they say to do

scenic ether
#

y = -3x + 5
5x - 4y = -3

#

help with work

wary stream
scenic ether
#

ok

wintry vortex
#

Pothagrium Therum got me 421.6 which was also wrong

wary stream
#

Did you try that method the site said to do?

wintry vortex
#

yes

#

that was the method i used

#

i followed it step by step

wary stream
#

,w 365.4sind(37.07)

wary stream
#

Calculator says Bx is 220

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You somehow got 259

wintry vortex
#

😮

#

how are they getting different answers?

wary stream
#

That says 325

#

You used 325

wintry vortex
wary stream
#

That should fix it all

wintry vortex
#

recrunching numbers lol

#

YES

#

that was it lol

#

TY dl šŸ˜„

sleek yarrow
#

@fiery basin@fathom sequoiaYou guys still there

fiery basin
#

No

#

Jk

#

We are in chill

sleek yarrow
#

I kicked everyone out of my room

#

wow man you mad

fiery basin
dire patrol
#

for part iii would i just sub in t= pi

#

into my displacement equation

alpine sable
placid zinc
#

@dire patrol
No, as displacement ≠ distance

#

,w graph 3 + sin^2(t)

placid zinc
#

You can see the displacement is 0 (particle is at the same place it began) but it has traveled some distance

dire patrol
#

wait

#

so what do i do to find total distance then

placid zinc
#

Keeping in mind the graph above, what does the particle do?

dire patrol
#

oscilate between 3 and 4?

#

wait

#

so what do i do

#

i am confused now

#

i thought it was just t=pi

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doesnt that account for the movement

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or do i need to times by 2

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because it goes up and down

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@placid zinc

placid zinc
#

@dire patrol Particle will:
Start at 3
Go up to 4
Go back down to 3.

Which means it travels a distance of 2.

#

Of course, you don't have the graph. Is there any way you can get this info just using the equation?

dire patrol
#

im not sure

#

wait

#

wouldnt i just sub in t= pi

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then divide by 2

#

@placid zinc

placid zinc
#

Yeah go for it

limpid rain
#

"A jar of coins contains nickels, dimes, and quarters. The total number of coins is 13 and the total value is $2.55. How many of each coin are there?"
My equations rn are
n + d + q = 13
5n + 10d + 25q = 255
how do i go from here?

placid zinc
#

Two equations, three unknowns, the solution here won't be unique

limpid rain
#

yup

placid zinc
#

However, you know that the values will be integers

#

The least number of coins to make 2.55 would be 10 quarters and a nickle.

Take a quarter out, put two dimes and a nickle in instead. Now we have 13

limpid rain
#

9 quarters 2 nickels and 2 dimes

#

is there a way to do this not trial and error

astral dagger
placid zinc
#
  • Provides a strong method that quickly gets the answer
  • "Can I do this without trial and error?"
#

😫

limpid rain
#

LOL i needa understand the math too

#

i tried to do it algebraically

ocean sealBOT
#

SubGui

#

SubGui

#

SubGui

limpid rain
#

okay that makes sense thank u

astral dagger
alpine sable
#

pls help

#

<@&286206848099549185>

#

the 1st question

pearl marlin
ocean sealBOT
alpine sable
#

i did approach the question

#

couldn't do it after the

#

after rhe 1-a/√3=tanx+tany

pearl marlin
#

Simple you have product of roots and sum of roors

#

Make the quadretic

alpine sable
#

OHHHHHHHHHH

#

shitt

#

i didnt realise that i have to use thatt concept god i be dumb

#

sorry

#

and thnankkl touuuuuhhu @pearl marlin

glad moon
#

Could I get some help pls

alpine sable
#

i need help with this

glad moon
pearl marlin
alpine sable
#

ok then

pearl marlin
#

Can you show what have you done?

alpine sable
#

its not my work its my cus

#

ill tell him to send me what he did wait a sec

dark granite
#

how old is he? (your cousin)

alpine sable
#

16

dark granite
#

okay

#

šŸ‘

#

there's an age thing where only people at least 13 can use discord

#

so I thought I'd ask lmao

pearl marlin
glad moon
#

Can someone help me out with this

alpine sable
pearl marlin
#

So a is 3.05 and k is 6

alpine sable
#

how old are u btw

shy thicket
#

69

pliant rapids
#

can someone help me with this?

#

ans is 135

pearl marlin
ocean sealBOT
oak chasm
#

What's the height?

#

The figure is a slanted rectangle, so use the rectangle area formula.

#

It's like if you have a stack of pallets and you push them so that they slant like that, the area of the part facing you won't change because it's still just the sum of the areas of the pallet edges, and that hasn't changed.

keen trail
#

Can anyone check to see if this proof is right anyone? Its about logical equivalences

#

<@&286206848099549185>

#

Not sure if this is legal i did double negation law

soft zodiac
#

Why do all values of arctangent that are past 180 degrees give you a negative angle instead of the positive one? For example, arctan((-sqrt(2)/2))/(sqrt(2)/2)) returns -pi/4 instead of 7pi/4. I know that they're coterminal angles, so they're the same thing, but why does it return the negative counterpart? Is there a mathematical reason behind it, or is it just a design thing?

silver relic
#

Because the range of arctan is -pi to pi

#

@soft zodiac

oak chasm
keen trail
#

Yeah its not i forgot to distribute

#

I cant figure out

#

On the proof really struggling w/ it rn

oak chasm
#

¬ doesn't distribute over ⟷.

#

What are you allowed to use to prove it?

keen trail
#

Going to head to bed rn sorry

cyan basalt
#

I have a triangle ABC and bisector AM. I need to proof, that BM:MC=AB:AC

quartz oxide
#

This is angle bisector theorem

#

You can prove it with something like sine law

cyan basalt
#

Oh, thx

cloud wraith
#

i know how to find the derivative of [x^2 - 3x + 9] but i don't know how that goes toward "showing the slope of the secant line"

pearl marlin
#

Okk so see

#

[-3,x] will give you [-27,x^3] , now find slope using (-3,-27) and (x,x^3)

You will get

(x^3+27)/x+3 solve this you will get your answer

#

(a^3+b^3) formula

cloud wraith
#

to be clear it goes from [-3, x] to [-27, x^3] because .... the original function is f(x) = x^3?

pearl marlin
#

Yess

carmine lion
#

ok

#

how do you solve this inequality

cloud wraith
carmine lion
#

$-1 \leq\frac{3}{x} \leq1$

ocean sealBOT
carmine lion
#

how do u solve this

flat vale
#

@cloud wraith sorry oops

cloud wraith
#

o/ npnp

carmine lion
#

,w solve -1 <= 3/x <= 1

carmine lion
#

yea how do u do it

#

wait nvm

#

i got it

#

šŸ˜…

#

wdym solve

ornate peak
carmine lion
#

derivative?

stark trail
#

Does anyone know how to change $3\sqrt[3]{4}-3$ into $(1-\sqrt[3]{a}+\sqrt[3]{b})²$ form?

ocean sealBOT
#

Muzan Jackson

stark trail
#

where a and b are both integers

drifting grove
#

does anyone jknow if this can be simplified anymore

bleak cobalt
#

can someone help me answer this

#

Maria has a mass of 95kg on earth. What is her weight on earth. What is her weight on the moon where the acceleration due to gravity is 1/6 that on the earth.

fringe mortar
#

I honestly forgot how to do this but

#

Say you have a 35% chance to succeed at something, and you attempt it twice. Then you toss a coin and if you get the desired outcome, you attempt again (only once)

#

What are the odds of success

#

I'm rusty as heck

tiny hill
#

Is the question in this channel done?

fringe mortar
#

I mean I just asked a question

tiny hill
fringe mortar
#

Depends on what it is

daring roost
#

First of all what is success when you toss a coin

#

It’s 50 so it doesent matter

#

Draw a tree diagram

#

0.35 on one way

#

0.65 on the other

#

Do the same afterwards but four times

slow girder
#

-4² is -16 right?

daring roost
#

Just 16

slow girder
#

Oh

daring roost
#

Wait

slow girder
#

How

daring roost
#

-4 X -4 is 16

slow girder
#

I tried using calculator it appears -16

daring roost
#

I don’t think that’s correct

#

It’s because the calculator messes it up when calculating square numbers

slow girder
#

Does this server have calculator for this?

daring roost
#

It’s 16

#

The calculator does it like this

#

It calculates 4X4 first

#

Then it puts the minus

slow girder
#

(-4)² is also 16 right

daring roost
#

Yes

#

Always put brackets

#

Because then it multiplies the whole thing

slow girder
#

It is still same without bracket right?

undone isle
#

without bracket it is -16

#

because you would square 4 and then make it negative

slow girder
#

Oh

stable gazelle
#

Hello

#

I have a mathematics exercice and i'm stuck at question 2), anyone can help me plz

#

I found that for 1) :

#

<@&286206848099549185>

jade birch
#

$4^x-4^{x-1}=24$

#

What have you tried?

ocean sealBOT
#

.itsjustnai

jade birch
#

Get rid of the -1 in the exponent first

#

There's a rule for it, do you know it?

bleak cobalt
#

Jerry pushes a 3.2kg box with 1.5μ of Force what is the resultant acceleration (pls give given and solution)

jade birch
#

second one

#

yes

#

now set 4^x=a and solve the linear equation

#

what power of 2 is 32?

#

2^(what) = 32, is what I'm asking

#

np

blissful venture
#

Can some one explain me how 0.999... =1
or like
1/3+1/3+1/3=1 when 1/3 is actually 0.3333..?

#

but how you can tell the actuall number of infinite

alpine sable
blissful venture
#

there was this solution like s=0.99999..
10s=9.99999 so 10s-s= 9
9s = 9 but 10 is actually 9.99999
so 10s = 9.999999*0.9999

#

i mean how can u tell taht way

#

excatly

#

how can 1/3+1/3+1/3=1 when 1/3 is 0.333333...

#

im coming to think like 1 is not a whole or natural number

#

but instead is a fraction which we assume as 1= (0.9999..)

#

yeah

#

it is but i feel like its not defined

#

1

#

when 0.99999... goes to infinite why cant we just call 1 is infinite

fringe spindle
# blissful venture but how you can tell the actuall number of infinite

there's a famous paradox of the ancient greek philosopher zeno, known as achilles and the tortoise. which asks you to imagine a race between a tortoise and achilles, who is ten times faster than the tortoise, but the tortoise is given a 100m head start. zeno argued that no matter how hard achilles tries he can never catch the tortoise, because the tortoise will have always moved on 1/10th of his distance, however applying our modern understanding of convergent geometric series, we now know achilles overtakes the tortoise at 111 and 1/9th metres. while we can't ferify it by literally summing to infinity, we can observe what happens and take the finite value of the infinite sum which has an observable limit

blissful venture
#

the number 999999 in the fdecimal 0.9999

blissful venture
fringe spindle
# blissful venture we cant overtake the observable limit... right?

well that's kind of the whole idea behind the paradox, based on observable evidence, realistically we know that at some point achilles is going to overtake the tortoise. so we have this idea of a limit as something which the convergent series which has such a limit can never go beyond, but of course, due to the ratios of speeds in the paradox achilles will overtake the tortoise after the value of the limit point. this idea of a limit is also a key concept in calculus as well, an important topic of mathematics.

alpine sable
#

Who can help me do question 9. Pls dm me

daring roost
#

have you learnt about cosine rule @alpine sable

daring roost
#

then do it

#

work out side BC

#

first

alpine sable
#

Ok

daring roost
#

then work out the area

barren helm
kindred warren
#

just make the ratio 49:(answer)

barren helm
#

thx iam new to this sub and is was a bookback thing

barren helm
icy trail
#

do you agree 7 parts = 49?

barren helm
#

idk

icy trail
#

7:8 is pass:appeared

barren helm
#

ok

#

so 8 is the ans?

kindred warren
#

no

barren helm
#

then

kindred warren
#

what did you times to 7 to get it to 49

barren helm
#

it is the qton so

kindred warren
#

you have a ratio of 7:8, so since the 7 becomes a 49, you need to keep the same ratio

#

you cant have 49:8

#

so what do you times 7 by, to get it to 49

barren helm
#

umm

#

7*7

kindred warren
#

ok

#

so you multiplied by 7 on one side, now you have to do it to the other side to keep the ratio the same

barren helm
#

umm

#

idk wat u mean

alpine sable
#

so i know how to work out translations in maths... kind of... so basically when i find the vertices for the image, it for some reason ends up getting ... rotated. I know how to find the vertices when im given the translation vector by counting and all but im supposed to know how to also use the vertices given for the object too make it not rotated

kindred warren
#

if you want to times one side by 2 for example, you have to times by 2 on the other side to keep the ratio the same

#

if we times it by two it becomes 14:16

barren helm
#

ok

#

got tht

kindred warren
#

but this time we times by 7

barren helm
#

so 7*8 ?

kindred warren
#

yes

barren helm
#

ok

kindred warren
#

it becomes 49:56

barren helm
#

56 is ans

kindred warren
#

yea

barren helm
#

now?

#

so total is 56?

kindred warren
#

yes

barren helm
#

ok thx man

#

umm this 1

velvet condor
#

bruh

#

25%=1/4 right

#

25% of 1 is (1/4)x1

#

25% of 25% of 1 is 1/4[(1/4)x1]

barren helm
#

ok

velvet condor
#

so 25% of 25% of 25% of 1 is?

barren helm
#

idk

kindred warren
#

when it says 'of' it basically means 'multiply'

barren helm
#

yes

#

ikt

kindred warren
#

25 percent can be rewritten as 0.25

barren helm
#

ok

kindred warren
#

so 0.25 * 0.25 * 0.25 * 1

velvet condor
#

bro you had one job

barren helm
spiral sentinel
#

Hi, i'm new to this sub too..

#

this basically is tangent function with y and x swapped.. is it possible to make similar function without trigonometric functions?

#

idk

#

maybe this is a dumb question

velvet condor
#

wdym

#

reverse function?

spiral sentinel
#

to achieve similar shape without sin cos tan etc

velvet condor
#

i am not so sure about this

#

this looks like

#

the inverse of a cubic function

#

you can try using desmos to plot

golden nymph
#

Tan*

velvet condor
#

to get your desired shape

#

i had an assignment which i was told to use desmos to draw

spiral sentinel
#

inverse of a cubic..

golden nymph
#

I think they’re talking about inverse trigonometric functions

spiral sentinel
#

ill check

velvet condor
#

ill give u an example

golden nymph
#

Oh without I thought with other

velvet condor
#

this one is a butterfly drawn using math equations

golden nymph
#

My bad

#

You can do sth evil

#

Maclaurin

golden nymph
spiral sentinel
glass lichen
#

it doesnt

golden nymph
#

It’s algebraic

glass lichen
#

taylor/maclaurin series are infinite polynomials

#

You asked how to make arctan without arctan, a polynomial doesnt necessarily have trig

spiral sentinel
#

oki yes

grand citrus
spiral sentinel
#

subtract the quarters of the circles areas from the squares area

velvet condor
#

you see 2 quarters of a 4x4 circle and 2 quarters of a 2x2 circle right

grand citrus
#

yea

velvet condor
#

so the area of the shaded region is are

grand citrus
#

uhh

#

im not getting it, sorry

velvet condor
#

difference between

#

the area of the square

velvet condor
grand citrus
#

oh so ill minus the quarter right?

velvet condor
#

sorry for bad wording:)

#

2 quarters

#

so it becomes half

grand citrus
#

ok

velvet condor
#

so it is equal to: square - half 4x4 circle - half 2x2 circle

spiral sentinel
#

is it ok to express like "4x4 circle"?

#

might be better "circle with radius 4"?

velvet condor
#

i suck at wording:)

#

just name the shapes

spiral sentinel
#

understandable

velvet condor
#

or just write the equation straight away

#

:))

grand citrus
#

so the ans will be 3

#

right?

velvet condor
#

36-10pi

spiral sentinel
#

(4+2)6 - 2((pi4^2)/4) - 2((pi*2^2)/4)

tawny lion
#

Nvm got it

fringe depot
#

pls help😶

#

trigonometry

#

function

#

tag me after solved,i truly appreciate itšŸ™

shell widget
#

@fringe depot cot(theta) = cos(theta)/sin(theta) and 1-cos(2theta) = 1 - [1-2sin^2(theta)] = 2sin^2(theta)

#

and so what you have is really y = 2|cos/sin * 2sin^2(theta)| = |2sin(2theta)|

#

you just have to exclude some points(points where sin(theta) = 0)

fringe depot
shell widget
#

@fringe depot just open desmos and write y = |2sin(2theta)|

#

Or actually, write your original function y = |2cot(theta)(1-cos(2theta))|

shell widget
#

write x instead of theta

fringe depot
#

thanksss @shell widget 🤩 sry for disturbing

orchid python
#

can anybody help me on how to solve this problem

shell widget
#

use some limit laws

vivid fulcrum
#

we're going thru last years topics, the answer is 4log3x but i dont know why

orchid python
#

which law

shell widget
#

@orchid python lim(f(x)-g(x)) = lim f(x) - lim g(x)

#

@vivid fulcrum should be just 2log(3x)

leaden hill
#

what is X

glass lichen
leaden hill
#

what u mean with in use

glass lichen
#

The channel is in use....

leaden hill
#

oh sorry

orchid python
#

is the answer is 3?

#

hey @shell widget

shell widget
#

Yes

orchid python
#

thank you

#

what about this one

vivid fulcrum
shell widget
#

Let log(3x) = V. What you have is 2(V^2)/V = 2V = 2log(3x)

#

@orchid python The denominator x-1 can be written as [sqrt(x)]^2 - 1^2

#

now apply difference of two squares formula

spiral sentinel
#

what are the english words for 1) drawing accurately by finding many points on the graph 2) loosely drawing the shape of the graph

shell widget
#

@spiral sentinel Plotting and sketching

spiral sentinel
#

oki

#

drawing is not related to math?

shell widget
#

It is

spiral sentinel
#

what meaning does drawing have then.?

shell widget
#

i guess drawing isnt really a mathematical term

glass lichen
orchid python
#

I just try to plug a number close to 1 there

#

but I don';t know whether it's right or not

glass lichen
#

ok.. do what Sup said to do..

orchid python
#

is this will be 2/sqrt(x)?

glass lichen
#

no

#

apply DoS like Sup said, or rationalize the numerator

silver current
#

maxima and minima

orchid python
#

but then what should I do with this

#

[sqrt(x)]^2 - 1^2

glass lichen
#

Apply difference of squares...

shell widget
#

@orchid python if u dont know what difference of two squares is, it's just a^2 - b^2 = (a+b)(a-b)

orchid python
#

ok i got it

#

yeah I forgot it

silver current
#

i have x = +-(ia/sqrt(2))

orchid python
#

so it will be 2/sqrt(x) + 1

#

so the answer is 1?

shell widget
#

Yes

orchid python
#

how can I solve this

silver current
#

why does this look like a test

orchid python
#

yeah it's a practical test

silver current
#

cool

pastel wyvern
glass lichen
silver current
# pastel wyvern

area of unshaded will be easy as area of square - area of path

pastel wyvern
#

The rest

silver current
#

the unshaded will give you area of the inner square

orchid python
#

actually i haven;'t learned math for quite long time I don't know how to solve them actually

silver current
#

calculate its side

#

which will you perimeter of the path from the inside

#

calculate the perimeter of the whole square which will give you the perimeter of the path from the outside

#

total will will be sum of both

alpine sable
orchid python
#

yeah i am googling now

#

i will try to solve it

#

the answer is 6 right?

#

how can I solve it

#

yeah sorry i know they are all basic questions

tough egret
#

hello, can someone help me. I dont now how to start.

#

<@&286206848099549185>

devout sigil
#

3x-x³=-(x³-3x)

tough egret
#

Can you explain pls

pastel wyvern
#

4th one pls

devout sigil
tough egret
#

Idk

pastel wyvern
orchid python
devout sigil
#

Then factor -1

tough egret
#

Yes tnx I kknow how to solve it

#

šŸ˜†

devout sigil
#

Np btw it’s not iy

winged copper
quick echo
#

is the parabola upwards or downwards?

#

wut

#

only focus and end point of latus rectum are given

bleak cobalt
#

Jerry pushes a 3.2kg box with 1.5μ of Force what is the resultant acceleration (pls give given and solution)

silver current
#

whats the unit of force?

alpine sable
#

the slope of 2X + 3Y + 1 is
3Y = -2X - 1
Y = -2X/3 - 1/3
So the slope would be -2/3 correct

orchid python
#

i make really small progress because I don't know what to do

slim elbow
#

Is 2/1 the same as 2?

fallen sky
quick echo
#

yes

slim elbow
#

Ok thx

quick echo
#

any number divided by 1 is the same

slim elbow
#

I don’t know why I got confused lol

fallen sky
# orchid python

find the slope at the point, differentiate y.... and then using it write the eqn of line thru the point (0,1)

loud sentinel
#

Hey guys so basically I was solving this question using the cosine rule and didn’t seem to get the answer

#

this is the correct answer

#

i understand how the scheme derrived the answer

#

what confuses me is why cant i use cos rule

#

to get the answer

#

or maybe i did smtg wrong?

#

heres a clearler pic for reference

#

oh wait

#

uh dumb

#

i realised

sacred sapphire
#

nice

loud sentinel
#

its okay i got it

alpine sable
#

then you law of cosines

scenic ether
alpine sable
orchid python
#

I am practicing

calm rock
#

can anyone give me a hint or nudge me to the right direction with this one? from apostol's calculus, evaluate the indeterminate limit using l'hospitals rule. ty

fallen sky
simple swallow
#

Hi, any chance someone could help me with this?

#

I’ve subbed 5 into the V=pi^2 equation but I have no idea what else I need to do

#

Please ping me if you respond

orchid python
#

\frac{2\cos \left(x\right)}{\sqrt{1+4\sin \left(x\right)}}

#

what should I do after differentiating

fallen sky
fallen sky
#

,ask $\frac{ 2 cos 0}{\sqrt{1+4 sin 0}}$

fallen sky
ocean sealBOT
#

Shawty

stuck jolt
#

So, I was asked to write a paper on vectorial calculus. I need a research question and a thorough analysis of whichever study or example I decide to do. If any of you have ideas on what I could use as an example(s), feel free to answer here or dm me

alpine sable
chrome depot
#

Calculate the perimeter of isosceles trapezoid whose area is P, length of bases are a and b (where a>b), length of non-parallel sides is c and height h.
Information given:
P = 195, a = 21, b =5

In the key it says that the result is 60, but I can not get it no matter what.
I get that h = 15, c ~ 21.93 an therefore perimeter being a+b+2*c ~ 69

calm rock
wind quest
#

Hi, I am trying to draw an ellipsoid which clearly shows like its axes and what not. What tool can I use for this?

golden nymph
#

So sub h=5cm and into dV/dh and then use chain rule

#

Lol I will try to find the equation of this interesting curve

keen basalt
#

Can anyone help me solve this??

pearl marlin
#

Make sin-1 into tan-1

golden nymph
#

Solve as in prove?

#

Are you allowed a calculator?

golden nymph
keen basalt
golden nymph
keen basalt
#

No

golden nymph
#

I guess what you can do is apply tan

#

Then use compound angle formula

#

The tan can cancel with tan^-1 but you will have to construct a triangle to find tan(sin^-1(

#

Then simplify and after that do the tan^-1 again so that your expression is the same

alpine sable
keen basalt
golden nymph
#

Wlc

#

Yes that’s correct

#

There are indeed rational number between -2 and 2

#

You forgot to provide the choices

pearl marlin
#

Where is full question?

golden nymph
#

Do you know the number line?

calm rock
pearl marlin
#

Do you know the defination of rational number?

golden nymph
#

Differentiate till you die

golden nymph
#

And the sinx can cancel

#

Then do a number line

alpine sable
#

help

#

plz

golden nymph
#

Send somewhere else

#

I am not actually done

#

But if that’s enough for you ok

polar jolt
golden nymph
#

Do a number line and plot -2 and 2

#

Then choose the numbers which both lie between those two points

#

We don’t answer tests

calm rock
# golden nymph Lol differentiate again

And again it didnt help. Im left with a differentiation that looks akin to -cosx*sqrt(xsinx)/(xsinx * (cosx + sinx)) with a constant factor of 2/3 even with the sinx cancelled. Considering Apostol im not sure bruteforce differentiation isnt the simplest solution, but who knows. Maybe the answer will come by one day.

golden nymph
#

It is three-sided

#

And those sides are line segments

#

Try not to get surprised after the next one

#

A triangle has three angles

#

🤣

#

Yeah

storm tundra
#

would 28.97 to 3sf be 29.0?

golden nymph
#

Yes

#

Correct

#

What?

storm tundra
#

thx just checkintg, when it changes the whole number from the decimal i get scared

golden nymph
#

Ok

golden nymph