help-0

[tight locust]

you hit the max and min twice in a row

[alpine sable]

so you get x^2 +3x +(3/2)^2 = -37 + (3/2)^2

so you would have to add 9/4 to both sides to complete the square

[steep matrix]

thank you 😄

[fading rover]

Hmm, can it be a piece wise?

[tight locust]

no

or i guess it can

[steep matrix]

@alpine sable

is it the same thing for this?

[alpine sable]

yes, so you take half of b and square it

[steep matrix]

so 13 squared?

[alpine sable]

no 26 is c

[steep matrix]

oh

ohh

[alpine sable]

you take half of -9

[steep matrix]

9

[alpine sable]

make sure you include the negative

[steep matrix]

so -4.5

[alpine sable]

imagine it as x^2 + (-9)x + (-26)

[steep matrix]

the square that

[alpine sable]

yes and then square it

mhm

[steep matrix]

thank u

[alpine sable]

np

[steep matrix]

am i dumb

it said answer wrong

[fading rover]

Is this for a computer program or a homework question?

[alpine sable]

(-9/2)^2 = 81/4

so that will be positive not negative

@steep matrix

[steep matrix]

ohh when i put it in calculator it put negative

i must've typed something wrong

[tight locust]

both

[fading rover]

I don’t if there a function that will give you exactly the same value twice, but there are a few ways to get equations that give it to you within a few decimals. One that comes to mind is the square wave.

Using a Fourier transform you can get really really close

If it’s programmable, I’d just go with making a piece wise function with logic

[tight locust]

they are ints not doubles

[fading rover]

You can floor the value

And then cast it as an int

[tight locust]

so if i%(2*n) < n return i%n

else return i%(2*n) - i%n

maybe that makes sense

[fading rover]

I don’t know the sequentiality of i and n, but yes that’s what I meant by using logic to solve it.

[tight locust]

i is the input value

n is the max number

3 in this case

[fading rover]

If that runs and your professor accepts it, then sure.

You should probably ask

There is also again a Fourier transform

This one looks like it could be manipulated to get what you want out of it

It seems like it may be possible to get an exact value

“First 3 terms of Fourier”

https://wikimedia.org/api/rest_v1/media/math/render/svg/b60c1df3ddf156c6e2efbda7bc5279874bdb19fc

[tight locust]

infinite sums are not really doable

[fading rover]

Its not an infinite sum, there is an expanded form that the graph represents

In the link I sent, it uses the first three terms.

[final crag]

Could someone help me witt this?

would it be like G3 = 1,7 g4 = 1,4?

not sure

[fading rover]

I am not sure how to horizontally shift a fourier transform, but beyond the need for that, this function gives exact values.

and oscillates in the pattern you need. If you can figure out how to horizontally shift it and stretch it to fix the x input, it should work

[steep matrix]

@alpine sable what do you know about circles

[alpine sable]

depends

whats the question

[alpine sable]

angle rst is a central angle

so the arc will be double that

208 degrees

[steep matrix]

i may have a couple more

im doing a lot of late assignments today since friday is deadline

so if youre willing to help

[alpine sable]

or wait sorry i was thinking about inscribed angles

the central angle is equal to the outer arc

so its 104 again

[steep matrix]

oh

[alpine sable]

sure

[steep matrix]

rip i pressed enter

its fine tho

i have to get the next 2 right

[alpine sable]

46

[steep matrix]

this is central right

[alpine sable]

102

[steep matrix]

so if its central the number doesnt change?

[alpine sable]

yes

[alpine sable]

hmm

oh

km is 126 so you just need to find the rest of the circle

[steep matrix]

circle is 180 so

180-126

?

[alpine sable]

nono

[steep matrix]

wait

no

[alpine sable]

circle is 360 lol

[steep matrix]

nvm im dumb

LOL

[alpine sable]

so thats 234

[steep matrix]

h u h

[alpine sable]

uh

9oh

oh

oops

its asking for the measure of knm

the angle not the arc

[steep matrix]

i just need to get 1 right in each section

[alpine sable]

ok this one is easier

just 30

the angle psr will be half of arc pr

[steep matrix]

got it

on to inscribed

[alpine sable]

i want to say its 54

because they share the same points h and f

wait

[steep matrix]

lets see

[alpine sable]

wait

nop

no

[steep matrix]

ok

okm

[alpine sable]

no fgh is a central angle

so the arc hf is 54

but

fjh is inscribed

so itll be half of 54

which is 27

[steep matrix]

alright

got it

chord intersection

[alpine sable]

you need to add up 115 and 175 and then divide by 2

or wait

[steep matrix]

?

[alpine sable]

i think he has to substract 175 from 360

i need to write this down

to find y

which is 185

what about arc kr and ts

oh

115 = 1/2(x + y)

115 = 1/2( x + 175)

230 = x + 175

x= 55

there u go

[steep matrix]

jester single handedly carrying my math grade rn

[alpine sable]

lmao

i just wish i understood any of my final

LOL

[alpine sable]

like tf is this

[steep matrix]

LOL

[alpine sable]

that looks

complicated

[steep matrix]

im in 10th rn and havent been doing like anything this year for math or bio

i hate those 2 classes

[alpine sable]

M = 1/2(208-88) = 60

[alpine sable]

Where are u from

im in 10th too but we dont have the same educating systems

[steep matrix]

wdym

state or country

[alpine sable]

I am in 10th grade too and I am from India

youre like east coast jarrod ?

like new york area or something

[steep matrix]

yes

new york exactly lol

[alpine sable]

ah

saw u were a hour ahead of me, guessed the most popular area in that time zone

[fossil mica]

is the question queue clear?

[alpine sable]

just ask

[fossil mica]

alright let me prepare a question

I got this for assignments

[velvet pelican]

You still on this?

[alpine sable]

yes

[velvet pelican]

which part?

[alpine sable]

ive been procrastinating

b

i finished A

[steep matrix]

still have stuff from SEPTEMBER 😭 but i dont have to do these

[velvet pelican]

you have to look at the signs of the roots/ real or complex

[steep matrix]

i made these up in peson

person

[alpine sable]

is there like a pattern when the roots are imaginary?

[velvet pelican]

the saddle/node/other patterns are determined by the form of the eigenvalues

[alpine sable]

i cant read that LOL

[velvet pelican]

another one

[alpine sable]

thank you thank you

[steep matrix]

saddle?

[alpine sable]

how would I go about proving

do i start with the characterstic equation

and then try and input values?

[broken fossil]

The points A (0; 6), B (8;7), C (4;-2), and D are the vertices of the ABCD parallelogram. Find the abscissa of the point D. HELP PLS (2 task)

[alpine sable]

bro's homework is in russian

LOL

[broken fossil]

yes

[steep matrix]

......

[alpine sable]

thats not too bad

[feral crag]

Anyone good with piece wise functions?

[steep matrix]

5 questions each section on this assignment

[alpine sable]

your general equation for a circle is x^2 + y^x = r^2

r being the radius of the circle

the radius is 3 so youre gonna have x^2 + y^2 = 9

but its translated down and to the left

[feral crag]

How do I find the equation to this?

[alpine sable]

to the left 5 and down 7

[steep matrix]

so what do i put in the answer box? the first equation u put

or the second one

[broken fossil]

can someone write the answer to the note and send here PLSSSSSSSSSS

[alpine sable]

i think you're gonna have (x+5)^2 + (y+7)^2 = 9

[broken fossil]

i cant understand

[alpine sable]

so that it shifts to the left 5 down 7 and has a radius of 3

[steep matrix]

it worked

[alpine sable]

i would help but i dont know what an abscissa is

[alpine sable]

the x i think

Hey

[feral crag]

Can someone help me with this?

[alpine sable]

(x+7)^2

uhm

and then

hey how do i solve sin(2x) equations

(y-5)^2 = 4

for example sin(2x) = h (h being any constant)

[steep matrix]

do i put those 2 together

[alpine sable]

yes add them together

(x+7)^2 + (y-5)^2 = 9

[velvet pelican]

for the first one, something along the line of since detA < 0 both the eigenvalues are real and have opposite signs (you have to justify this using the lambda quadratic formula) then using that to show that it's a saddle. Similar thing for the rest of them

[broken fossil]

there we need to find abscissa

[alpine sable]

alright cool

[alpine sable]

(x-7)^2 + (y+3)^2 = 4

[broken fossil]

this is the answer from sample

[earnest coyote]

A building measuring 60 metres by 40 metres is going to have its area increased by 50% by adding a strip of uniform length to all four sides. Find the width of the uniform strip.
am i doing this right?
A=60(40) = 2400+ 2400(1/2)
newA=3600
(2x+60)(2x+40)=3600
4x^2+200x-1200=0

solve for x?

thanks in advance

[steep matrix]

100 emoji

woah wtf

vertical taskbar

[alpine sable]

yeah i have that too

[broken fossil]

i can send one tho

[shrewd ridge]

How can i make the graph of
f(x) = x^2-1 (i mean x in square)

[earnest coyote]

construct it with your table of values my friend

[alpine sable]

x^2 - 1 is a difference of two squares facor it into (x+1)(x-1)

[broken fossil]

this one @alpine sable

[alpine sable]

lots of questions today

there are other channels

[earnest coyote]

sorry, i butted ahead of jarod

[alpine sable]

joining this server is my last attempt at getting a good grade

fr

[broken fossil]

YEAHH

[steep matrix]

mine just normal

[steep matrix]

literally typed in .gg/ math and prayed for the best

[fossil mica]

is this channel clear for asking? rn.

[broken fossil]

mine

[alpine sable]

lmao same

[alpine sable]

not really

also typed .gg/physics

[broken fossil]

games hided

[alpine sable]

write a growth formula with a rate of 2

[shell pulsar]

Help pls

[steep matrix]

@alpine sable did u answer this one yet i didnt check

[alpine sable]

(x+5)^2 + (y-1)^2 = 4

[glass lichen]

Don't just give answers

[alpine sable]

i explained it already before

the general equation and how the circle translates around the graph

[steep matrix]

2 more in this section

[alpine sable]

square the radius and find the x and y coordinate points of the center

[glass lichen]

what's preventing you from applying what you were told to do

[alpine sable]

write (x-x1)^2 + (y-y1)^2 = r^2

[jade portal]

I still dont get it

So what would the formula be

[steep matrix]

?

[glass lichen]

You've had the concept of how to get the eqn explained, so do it rather than just blindly asking for the answer every question

[alpine sable]

the wording is weird

idk

idk if it's doubling everyday for 5 days or if it starts double after 5 days

theres no initial value either

[alpine sable]

in 40 days?

[jade portal]

Like the answers is 40 I check the solutions

[glass lichen]

$P=P_0(2)^{\frac{t}{5}}$ for t in days

[ocean seal]

Mosh

[alpine sable]

oh so youre finding the initial value

ok i get it

[alpine sable]

@jade portal

[glass lichen]

no you want when P=16P_0 for a

to find the time

[steep matrix]

wait so what do i do with this

[alpine sable]

so b is 2 and a half days right?

[alpine sable]

x1 and y1 are the coordinate points of the center and r is the radius

its a general formula

to find the equation for a circle

[jade portal]

Yes ill do that

I just wanted a to figure out the basic idea

[steep matrix]

OH

wait i think it mightve just clicked

[alpine sable]

ooh

[jade portal]

Ill let you know if I struggle on the other ones

@alpine sable tysm

[steep matrix]

but i dont get which points to use

[alpine sable]

of course

[jade portal]

@alpine sable tysm

[alpine sable]

the center of the circle

[glass lichen]

$(x-h)^2+(y-k)^2=r^2$ is the equation of a circle with center $(h,k)$ and radius $r$

[ocean seal]

Mosh

[alpine sable]

yup

[steep matrix]

the center goes to

7?

[glass lichen]

what are the co-ordinates of the center?

[alpine sable]

^

[steep matrix]

the center is -8 and -6

[alpine sable]

uh

no

[steep matrix]

for x right

[alpine sable]

-7 for the x

and 0 for y

yup

[steep matrix]

oh i thought i needed to have everything in the circle

[alpine sable]

no just the coordinate point in the middle of the circle

[steep matrix]

ohh ok

so for (x-x1)^2 + (y-y1)^2 = r^2

the 7 goes in for all the x's

and 0 is all the y's

?

[alpine sable]

-7 goes in for x1

and 0 goes in for y1

x and y are variables

ooooh i get it now

so we only replace x1 y1 and r

yes

to find the equation for the circle

thank you

[steep matrix]

so (x-7)^2 + (y-0)^2 = r^2

?

wait

[alpine sable]

x-(-7)

so x+7

[steep matrix]

oh

[jade portal]

@alpine sable so would this be the equation

[alpine sable]

and then the radius of the circle is the distance from the center to the outer edge

and in the problem the distance is 2 units

[steep matrix]

(x+7)^2 + (y-0)^2 = 2^2

?

[jade portal]

?

[alpine sable]

i think its we suppose the population is x and the time a so it would be a=(5×x×16)/x×2

the x cancels with the x and were left with

5×16/2

which is 40

[jade portal]

So was my equation right to start with?

[alpine sable]

you wrote 16=a×2×1/5 right?

[jade portal]

Yes

[alpine sable]

in that case a will equal 80 i dont think its correct

[jade portal]

So ca can you right me an equation pleas

[alpine sable]

the one i wrote you above

this one a=(5×x×16)/x×2

[bitter sundial]

i really dont understand this one

[umbral delta]

Help me

[jade portal]

Bro im fucking confused im sorry

[umbral delta]

Or this?

[alpine sable]

no its okay

[warm edge]

can I um have some help?
whats the sin of a triangle when its 90 degrees when u can use the algorithem of thales
by the equevilence of hypotinus=5 and adjacent=2

[umbral delta]

Someone?

[alpine sable]

so if we suppose x is the quantity of the population and it doubles every 5 days so in 5 days x multiplies by 2

and they wanna know the number of days when x multiplies by 16

[jade portal]

Mira i think my teacher gave a different equation

Ill show you

[alpine sable]

okay

[jade portal]

Use this as an example

So we have the f(x) which is 26

16*

[alpine sable]

can you zoom in a little please

didnt mean to respond to that

dior can you zoom in please

[warm edge]

um pls pls help

[warm edge]

3x+10=28

find tha x

pls

someone help

[alpine sable]

x equals 18/3

[warm edge]

thanks <3

[alpine sable]

youre welcome

[warm edge]

YESSSS I FOUND ITTT

THE XX

[alpine sable]

im really confused sorry

[warm edge]

I found the x!

[alpine sable]

yaay!!

[warm edge]

see? i found it

I'm smort

[jade portal]

Its fine

[warm edge]

Oi pls someone help

whats the sin of a triangle when its 90 degrees when u can use the algorithem of thales

by the equevilence of hypotinus=5 and adjacent=2

ples

[alpine sable]

can you use the pythagorean theorem?

[warm edge]

wait

[warm edge]

a^2=b^2+c^2?

[alpine sable]

yes

[warm edge]

alr

[native hearth]

I'm completely and totally lost on how to do this one

[ionic jewel]

you want the inverse?

Original function:
$$y = \sqrt{2x-2}$$
Swap x and y
$$x = \sqrt{2y-2}$$
Solve for y
$$y = \frac{x^2+2}{2}$$

[ocean seal]

bunny

[topaz cipher]

I think the question asks for the derivative of the inverse

[ionic jewel]

well in that case split the inverse into two functions and use the power rule

[warm edge]

https://cdn.discordapp.com/emojis/586078649149554690.gif?v=1&size=40

[native hearth]

Oh, how do you mean?

[ionic jewel]

inverse is
$$y = \frac{x^2+2}{2}$$
change to
$$y = \frac{x^2}{2}+1$$
then
$$y' = x$$

[ocean seal]

bunny

[ionic jewel]

@native hearth

[gentle jetty]

can someone help me with b)??

[native hearth]

Thank you so much, that helped a ton

[alpine sable]

?

3x-2=13

yeah u got it right

x=5

Question how would I simplify this equation

[icy sun]

Check out exponent rules

a^n/a^m = a^(n-m)
a^n * a^m = a^(m+n)
(a^n)^m = a^(nm)
a^(-m) = 1/a^(m)

And some others

so 3^4/(3^3)^2 = 3^4/3^(3*2) = 3^(-2)

[alpine sable]

Ah thank you

[icy sun]

(man that square almost fucked me up woops)

[gray heart]

what are the steps to finding the domain and range of y = 3*(2^x-2)+2?

[icy sun]

So what values can x take?

Can it take only positive numbers? Negative? Real?

Rational?

I'm going to assume complex is not included so just worry about the above

[gray heart]

idk, i thought the domain was (2, infinity) but that's somehow the range

[icy sun]

That shouldn't be the range hm....

But let's worry about that later

[gray heart]

oh sorry my problem should be y = 3*(2^(x-2))+2

not 3*(2^x-2)+2

[icy sun]

Oh I see

Yeah that's 2 to infinity

First: Domain is all the numbers you can put into a function(not y, x). So in this case, am I allowed to put in x = 4?

Not here Draco

does y = 3*(2^(x-2)) + 2 exist if I but x = 4?

For example, a time where it wouldn't exist is y = (x-5)^1/2. If I put x = 4, I would get y = (-1)^1/2, which doesn't exist in the real plane.

[gray heart]

wait i think it's possible to put in 4 for x

[icy sun]

it is. If I put in 4, you would get y = 3*(2^(4-2)) +2 -> 3 *(2^2) + 2 = 14. Perfectly defined

So is there any number on the real plane where this doesn't happen? Where I won't get an answer in the real plane?

[frosty zodiac]

How do I find the radius if the Surface is f.e 4.32pi

[gray heart]

probably anything less than 2?

wait can exponents be negative when finding domain and range?

i thought we always set the x equation to zero...

[alpine sable]

surface of what?

[calm grove]

What's f.e

[frosty zodiac]

a cone

[frosty zodiac]

i meant for example

[calm grove]

Oh.

[icy sun]

@gray heart sorry, left you hanging. Also, no. That's something different. In domain, just put all the numbers where you get a valid output.

[alpine sable]

just take the equation for surface area of a cone and make r the subject

[icy sun]

And can people pls not use channels that are active? Thanks

So would appreciate it you moved 🙂

[alpine sable]

should I take this elsewhere?

yea

[frosty zodiac]

okay

q1?

[icy sun]

So getting back to your question, negative exponents are defined. In exponent rules, a^(-m) = 1/a^(m). So if we take x = 1 for example, we get 3(2^(-1)) + 2 = 3/2 + 2 or 3.5
That number is perfectly defined see?

And so would be the case for any negative number

So if it works for all positive numbers and all negative numbers, and 0, then it must work for all reals! So the domain is the real numbers

[gray heart]

but then why is the range 2, infintiy?

is there a rule that the domain and range are always flipped when dealing with exponents?

[robust crow]

help, i just need to know if it is correct now plz

[shell widget]

@gray heart 2^(x-2) is some exponential function, and you should know that an exponential function is always > 0 for all x. So you have that 2 ^(x-2) > 0, for all x. Multiply both sides by 3, you get 3 * 2^(x-2) > 0 for all x, and then add 2 on both sides, you get that 3*2^(x-2) + 2 > 2 for all x.

[icy sun]

The idea behind Sup letting 2^(x-2) = 0 has to do with how range is defined. Range is all the values y takes on. So for example, y = x^2, the smallest value y can take is 0. How can y be a negative number? There is no x that when squared, gives a negative output.

So in y = 3*(2^(x-2)) + 2, the smallest value y can take is when 2^(x-2) is as small as it can be. And the smallest 2^(x-2) can be is 0

Although it is important to note, that it's never equal to 0. 2^(-infinity) = 0, but infinity is not a number

So we say that the range is (2...) instead of [2...) to show that 2 is not actually reached

[shell widget]

@robust crow what are u asked to do?

[robust crow]

i checked it,it's correct tnx

[shell widget]

ok

[sterile beacon]

What's wrong with me?

[tall sage]

is this right

[timid wind]

find all positive integers n such that 126≡ 35 ( mod n)

<@&286206848099549185>

[remote heron]

can you rewrite this in an equation without congruence

[timid wind]

nvm ill just search it up

since nobody wants to help

[oak chasm]

OK.

[timid flint]

what percentage will the prices of food increase if the VAT is increased from 15% to 25%

[oak chasm]

@timid flint Let's say the untaxed price of food is x. What is it after 15% VAT?

[alpine sable]

How do you do algebra

[oak chasm]

@alpine sable Sorry, channel is busy.

[timid flint]

Im unsure 😦

[oak chasm]

@timid flint OK, let's say the untaxed price of food is 1.00. What is it after 15% VAT?

[timid flint]

I think its , 1.15 * 1.00?

[oak chasm]

Right, so if the price is x, after VAT, it's 1.15x.

[timid flint]

Ohhhh that makes sense

[oak chasm]

If something costs x untaxed with a 25% VAT, what does it cost after tax?

[timid flint]

1.25x ?

[oak chasm]

Right.

So, the general idea is that percentage increase is multiplying by (1 + percentage/100).

So, to find out what percentage it increased if you go from a 15% VAT to a 25% VAT, you have:

[ocean seal]

Chai T. Rex

[oak chasm]

Can you solve that for p?

[timid flint]

Hmm.. no im not sure how

[oak chasm]

OK, what can you do to get the left side closer to just having p on that side?

[timid flint]

Im not sure xc

[oak chasm]

OK, the part with p in it is the parethesized part, right?

[timid flint]

Yes p= percentage right?

[oak chasm]

Yes.

So, how is 1.15x combined with (1 + p/100)?

[timid flint]

Scould i Plus 1 with 1.15x?

[oak chasm]

No, that's not the answer to the question.

[timid flint]

15%?

[oak chasm]

How is 1.15x combined with (1 + p/100)?

[timid flint]

I dont know..

[oak chasm]

It's multiplied with it, right?

[timid flint]

How so?

[oak chasm]

See here ^

[timid flint]

Ohhhh

Sorry im so slow, but yes its multiplied

[oak chasm]

What's the opposite of multiplication?

[timid flint]

Its WHEN u divide

[ocean seal]

Chai T. Rex

[oak chasm]

Now, reduce the right side fraction to lowest terms.

[timid flint]

Ohh, so to move 1.15x to the other side you have to change it so it divide with 1.25 with 1.15? Why not 1.15 divided with 1.25?

[oak chasm]

Because you need to divide the left side by 1.15x, and you have to do the same thing to both sides in solving algebra equations.

So, you end up dividing both the left and right by 1.15x.

[timid flint]

OHHhhhh i understod that!

[oak chasm]

So, now we reduce the fraction on the right to lowest terms.

What happens to the xs?

[timid flint]

I get 1.08x?

[oak chasm]

No.

First, what happens to the xs?

[timid flint]

Hmm

they divide?

[oak chasm]

Into what?

[timid flint]

Im not sure..

[oak chasm]

What's x/x?

[timid flint]

I know that x*x is x^2 but i havent divided them before

Oh mabie its zero

[oak chasm]

What's 2/2?

[timid flint]

Zero

[oak chasm]

No.

[timid flint]

Oh OPS

1

[oak chasm]

What's 3/3?

[timid flint]

1

[oak chasm]

What's a number divided by itself?

[timid flint]

ITSELF?

[oak chasm]

Is 3/3 equal to 3?

[timid flint]

No its 1

Oh its always 1!

[oak chasm]

What's a number divided by itself?

Right!

Good.

[timid flint]

Yes!

[oak chasm]

Now, x is a number.

What's x/x?

[timid flint]

Its x!

[oak chasm]

No.

What's a number divided by itself?

[timid flint]

1

[oak chasm]

What's the number x divided by itself?

[timid flint]

1?

[oak chasm]

What's x/x?

[timid flint]

1?

[oak chasm]

Right.

The xs cancel.

[ocean seal]

Chai T. Rex

[alpine sable]

Wait wouldnt the answer to the original question be 110%?

[timid flint]

So its a rule that, x/x is the same as 1x/1x and when u divide 1 with 1, you Get one, and the x dissapear?

[oak chasm]

@timid flint No, a number divided by itself is 1. x is a number. x divided by itself is 1.

[timid flint]

Oh i see !

[alpine sable]

What is x in this situation? X needs to be used for something right?

[oak chasm]

@alpine sable Sorry, only one questioner at a time.

[alpine sable]

Ok im sorry.

[timid flint]

And since x/x=1 then the 1.15 and 1.25 doesnt change?

[oak chasm]

Right, they don't change just from the xs cancelling.

[timid flint]

Got it!

[oak chasm]

Now, what's 100/100?

[timid flint]

1!

[oak chasm]

What do you get when you multiply a number by 1?

[timid flint]

You Get the same nr

[oak chasm]

@timid flint Right, what do you get when you multiply a number by 100/100?

[timid flint]

The same nr

[oak chasm]

Right!

[ocean seal]

Chai T. Rex

[oak chasm]

So what's 1.25 times 100?

[timid flint]

125!

[oak chasm]

What's 1.15 times 100?

[timid flint]

115

[ocean seal]

Chai T. Rex

[timid flint]

1,08

[oak chasm]

No, lowest terms is still a fraction.

[timid flint]

Oh i think i Get it! I have to divide

[oak chasm]

No, you have to find a common factor between the top and bottom.

For example, what's 6/9 in lowest terms? Well, first, what's the common factor?

@distant bay Sorry, channel is busy.

[distant bay]

Ok my bad

[timid flint]

6/9 in lowest terms is ... 6/9?

Can it be lower?

[oak chasm]

Yes.

Have you factored numbers before?

[timid flint]

I think i have, just forgotten some of it

[oak chasm]

Well, what are the factors of 6?

[timid flint]

I have to FIND a nr , like a factor that both can be divided on

[oak chasm]

Yes.

The GCD.

So, what are the factors of 6?

[timid flint]

What do you mean ? Xc

[oak chasm]

What smaller numbers can you multiply to get 6?

[timid flint]

Ohhhh

2*3

[oak chasm]

What are the factors of 9?

[timid flint]

3*3

[oak chasm]

See how they both have at least one three?

[timid flint]

Ohhhh

[ocean seal]

Chai T. Rex

[timid flint]

I rly tried to think, but now i remembered

[ocean seal]

Chai T. Rex

[oak chasm]

@alpine sable No, see the rules in #❓how-to-get-help.

I mean, you can ask in a free channel.

[timid flint]

5*25

[oak chasm]

OK, good.

What are the factors of 25?

[timid flint]

5*5!

[ocean seal]

Chai T. Rex

[oak chasm]

What are the factors of 115?

[timid flint]

Ohhhh you right

okay so 115.. 15*8 mabie..

[oak chasm]

,calc 15*8

[ocean seal]

Result:

120

[oak chasm]

Nope.

[timid flint]

Oh wait

Wait.. do you have a hint on how to calculate in ur head faster ><

[oak chasm]

Sure.

It will have 2 as a factor if it's an even number.

It's an even number if it ends with 0, 2, 4, 6, or 8.

Does it end in any of those?

[timid flint]

Nop

[oak chasm]

OK, it will have 3 as a factor if its digits sum to a multiple of 3.

What is the sum of the digits of 115?

[timid flint]

7?

[oak chasm]

Is that a multiple of 3?

[timid flint]

Nop

[oak chasm]

OK, it will have 5 as a factor if it ends with 0 or 5.

Does it end with 0 or 5?

[timid flint]

Yes

[oak chasm]

OK, so factor out 5.

[timid flint]

Alrighty

And what can i do with the 5?

[oak chasm]

You remember how you had 125 = 5 times 25?

Do that with 115 = 5 times something.

[timid flint]

23?

23*5

Oh but that doesnt have a 5 in it

[oak chasm]

What do you mean?

[alpine sable]

Do 23 * 5

[oak chasm]

@upbeat kraken Sorry, channel is busy.

[timid flint]

Isnt it supost to have a 5 in it? Or is it just supost to be divided on 5?

[alpine sable]

Both are prime so you're good

Divided by 5

[oak chasm]

<@&268886789983436800>

[sly mantle]

@upbeat kraken knock it off

[oak chasm]

@timid flint You factored the 5 out already.

[alpine sable]

Bruh you're already here

[sly mantle]

👢

[timid flint]

Yes

[ocean seal]

Chai T. Rex

Chai T. Rex

[timid flint]

Oh oki

[oak chasm]

See how the fives cancel?

[timid flint]

Oh yes

[oak chasm]

OK, so we've reduced that fraction to lowest terms.

Now, remember how we divided the left side by 1.15x and the left side got closer to having just p in it?

[oak chasm]

Like here ^

[timid flint]

Oh i do

[oak chasm]

OK, so what can we do to the left side to get rid of the 1?

[timid flint]

Wait where did the - come from

[oak chasm]

From our original equation.

[oak chasm]

Read this and the two following lines ^

@timid flint Oh, you're right.

[ocean seal]

Chai T. Rex

[oak chasm]

It should be a plus.

[timid flint]

Hmm.. but how come it changed from + to -? Because we switched 1.15x to the right side?

[oak chasm]

No, it shouldn't have switched. I made a mistake.

[ocean seal]

Chai T. Rex

[timid flint]

Oh i see! Okay back on track!

First

P/100

And then add 1

[oak chasm]

Yes, that's what the left side currently is.

How do we get rid of the 1 in it?

[timid flint]

Switch to the other side?

[oak chasm]

How?

[timid flint]

Nvm it doesnt make sense

I dunno

[oak chasm]

OK, do you know what terms are?

[timid flint]

Could u explain it again?

[oak chasm]

Well, I haven't explained it yet.

Let's see.

[timid flint]

Oh ok!

[oak chasm]

Terms are things that you add together.

So, abc + de - f has three terms: abc, de, and -f.

Does that make sense?

[timid flint]

Ohh yes

[oak chasm]

What are the terms in a - bc + def - g?

[timid flint]

Isnt it that?

Like

[oak chasm]

No, that's four terms added together.

What are the four terms?

[timid flint]

Abcdefg

[oak chasm]

No.

[oak chasm]

See how you don't combine them like that here ^?

[timid flint]

Its a , bc , def and g

[oak chasm]

Almost.

Subtracted terms are negatives.

a, -bc, def, and -g.

Does that make sense?

[timid flint]

Oh Okey, YEPP

[oak chasm]

OK, to move a term to the other side, you subtract it from both sides if it's positive and you add it to both sides if it's negative.

[ocean seal]

Chai T. Rex

[timid flint]

Subtact it?

Mabie?

[oak chasm]

Maybe, but first, what are the terms?

[timid flint]

Its positive

[oak chasm]

Right, but what are the terms?

[timid flint]

1+p/100

[oak chasm]

No, that's the terms added together.

What are the terms?

[timid flint]

1, p, and 100

[oak chasm]

No, you have 1 added to p/100, right?

[timid flint]

I have?

[oak chasm]

See the question, please ^

[timid flint]

Oh yes

[oak chasm]

OK, do you have 1 added to p added to 100?

[timid flint]

But i dont have nrs

There is no p

[oak chasm]

Sorry?

What?

[timid flint]

Like for %

[oak chasm]

Look at the question again.

Do you see a p?

[timid flint]

Yes

[oak chasm]

Then why are you saying there's no p?

[timid flint]

Oh no nvm, i got confysed and trough i NEEDED a nr but yes there is a p

However i need to p/100?

[oak chasm]

OK, you said the terms were 1, p, and 100. Is the expression 1 + p + 100?

What?

Where are these questions coming from?

No one is asking you to evaluate anything.

I'm asking you to figure out the terms in that expression.

How is any of this related to that?

There's no p is not related to that, since there is a p.

[spark crow]

Can anyone help me study? I have an exam tomorrow and I don’t understand this, it’s a lower level topic

[timid flint]

Okay, Lets start over

[oak chasm]

@spark crow Sorry, channel is busy.

[spark crow]

Sorry

[timid flint]

You can Ask me again

[ocean seal]

Chai T. Rex

[timid flint]

Its 1 + p \ 100 so its 1\100

[oak chasm]

What?

What are the things being added together?

[timid flint]

Okay so the terms is 1 and p\100

[oak chasm]

Right.

So, we want to get rid of the 1 term.

How can we do that?

[timid flint]

Subtract 1

[ocean seal]

Chai T. Rex

Chai T. Rex

[timid flint]

Which form scould i Ask you in? decimal or fraction

[oak chasm]

Fraction.

[timid flint]

Its 0,8?

[oak chasm]

That's not a fraction.

[timid flint]

1 whole and 2/3

[oak chasm]

No.

First, get a common denominator.

[alpine sable]

he means 23

its a typo

[oak chasm]

It would still be wrong.

[alpine sable]

how is thay wrong

25/23

thats 1

and 2 is left over so 2/23

[oak chasm]

They said 1 whole and 2/23, according to you, which is 1 + 2/23.

[alpine sable]

no not 1 whole

because of -1

2/3

[oak chasm]

Yes, it's literally in what they said.

Read it again.

[alpine sable]

yeah but its typo

[oak chasm]

According to you.

[alpine sable]

he got it right in voice chat

[oak chasm]

No, they don't understand it if they're typing what they typed.

[alpine sable]

fair enough

[oak chasm]

You don't typo 2/23 with "1 whole and 2/3".

[alpine sable]

yes your right

Water volume: V=550 m3/s
Top surface area of water: As=171,000 sq mi
temperature: T∞=32-49 °C goes down to 10-22 °C in winter
Water temperature: Tw= 30 ∘C down to 8°C in winter
Relative humidity of water in room air: 15 %

Rain does not exceed 8 inches per year
How much years would it take for that water to dry up

<@&286206848099549185>

@oak chasm he told me in voice that thought he was supposed to simplfiy first

[whole quartz]

hello can i ask a question here?

[spark crow]

Would the answer to this be 160.56?

[timid flint]

Hi, so i understand my mistake now, and i assume that the correct way to put it is ; 1 and 2/23 ? Since there is 23/23= 1 and then there is 2/23 left

[young kite]

Guys I gotta cram a year's worth of math in like 6 months

I'm a little wired on coffee so I feel really arrogant right now

[alpine sable]

then you should paypal me 50k

[young kite]

But I just need to learn in depth pre calc and some calc

And also my fluid reasoning IQ subtest score was 140

So I think I might be smart enough to do it lol

But its gonna be pushing my intelligence, that's for sure

[sonic trellis]

How does one find the area with the circumference?

[harsh grotto]

of a circle?

[sonic trellis]

Yes

[harsh grotto]

do you know the equation for the area of a circle?

I think I remember you saying it's one you've learnt earlier

[sonic trellis]

πr^2

Is that right

[harsh grotto]

yes

and you remember how the circumference = 2πr?

[sonic trellis]

Yup

[harsh grotto]

so if you're given the circumference, you can rearrange that 2nd equation to find the radius

and then use that to find the area

if that makes sense?

[sonic trellis]

Yeah

I think so

so 76=2πr

if 76 was the circumference

[harsh grotto]

yeah

[sonic trellis]

Cool

thanks

[harsh grotto]

no worries

[limber zinc]

is this occupied?

[sonic trellis]

Nah

[limber zinc]

ok

[young kite]

Hey guys this might sound ridiculous but

[limber zinc]

so I got the slope, which is 0.08cm

[young kite]

I want to try and cram pre calculus and calculus in a few weeks

[sonic trellis]

rift go to #math-discussion

[young kite]

I did

[sonic trellis]

cool

[limber zinc]

but i was getting confused on how to get the Y int

cuz when I checked the answer key it said it was y=0.08x+1.2 but I couldnt tell how they got 1.2

[harsh grotto]

are you given the graph he plotted? or is that all the information you get

[limber zinc]

this is all the info I got

[harsh grotto]

well if every 10 minutes the snow increases by 0.08cm

At a constant rate

and at 10 minutes it was at 2.0cm

then at the y intercept, when t=0, the depth would be 2.0 - 0.8, right?

[limber zinc]

yea

[harsh grotto]

I'm not entirely sure if that's the approach it's wanting you to take

[limber zinc]

I mean thats what I did at first but it was 1.92

[harsh grotto]

oops, my bad yeah

0.08cm per minute

so in ten minutes, 0.8cm

[limber zinc]

ah its ok we go over the packet tomorrow so I'll just ask my teacher then

thanks for the help tho

[flint crow]

How do i solve this

[wary stream]

Do you know what the discriminant is?

[normal cloak]

yo

area of triangle

In ΔTUV, t = 94 cm, u = 16 cm and ∠V=126°. Find the area of ΔTUV, to the nearest square centimeter.

[surreal meadow]

analytically you can just add 14 to both sides and see for yourself from there

[flint crow]

whats the answer

[wary stream]

A parabola?

[flint crow]

what the answer

[wary stream]

Can't tell you, you should find that out yourself

I'll help you if you get stuck

[surreal meadow]

do you know what question A is asking you to find?

[flint crow]

anyone know this

[woeful pulsar]

what have you tried here?

can you make an equation for the area of the square?

[alpine sable]

Water volume: V=550 cubic meters
Top surface area of water: As=171,000 sq mi
temperature: T∞=32-49 °C goes down to 10-22 °C in winter
Water temperature: Tw= 30 ∘C down to 8°C in winter
Relative humidity of water in room air: 15 %

Rain does not exceed 8 inches per year
How much years would it take for that water to dry up

[surreal meadow]

Water volume: V=550 m3/s

[alpine sable]

yes

[surreal meadow]

m3/s >

?

[alpine sable]

m3*

Meant cubic meters

got mixed up

(550000 liters)

[surreal meadow]

what class is this for

do they want you to use q=mc delta t?

[alpine sable]

q=mc

[alpine sable]

^

[rich haven]

i dont understand how the answer for this is not 1

[wary stream]

Do you know what a similar triangle is?

[rich haven]

one that has like the same porportions but doesnt have to be the same size

[scarlet spire]

what is this question how could there possibly be 4 or 5 pairs when there are only 3 triangles

isnt the answer either 1 or 3

[drowsy gate]

Ironic, I am gonna start learning about volume on Friday

When I learn I will help

Ban this guy for using NFSW language

Jk

But this isn't a place for you to be saying those words. Infact, you should learn loaded language

[raw inlet]

can someone help me on vectors pls

[alpine sable]

cubic meters

[rugged lynx]

help

[alpine sable]

i need answer

[quasi rapids]

I asked this about 12 hours ago and nobody had replied, so I'm gonna ask again:

I have a nomenclature question about geometry. I'm trying to identify the name of a specific kind of hexagonal prism, or rather, find out if there is a name for a specific kind of hexagonal prism. I'm only looking for a name, I don't need the maths to draw such a thing in a graph.

I would start to describe the shape as if you took an equilateral triangular prism. Then starting from the center of the triangle draw tangential lines touching each corner of the triangle. Then evenly reduce the radius of these lines so that they intersect with each corner, then pass that line down the length of the prism so that it cuts off three new triangular prisms, and the center is left as a hexagonal prism such every other side is the same width, but one of the alternating sides is significantly smaller than the other.

So it's not equilateral, but three of the long sides are matching in equilateral fashion, and the other three are in their different width.

In tl:dr terms, it's almost an equilateral triangle, but the corners are cut to made looking a little stumpy.

[wary stream]

Do you mean a Reuleaux triangle?

[quasi rapids]

Upon the basis of a brief googling, no.

This is a shape I came up with for a story and I was wondering if it had a name.

Actually. I'm a freakin' artist. Let me draw it.

[trim current]

i got a quick question, i know it is in quadrant 3 or 4 but not sure

using the unit circle

im just confused on which one it is, if someone can help me out

[flint crow]

anyone know the answer to this

[woeful pulsar]

wait pretty sure you posted somewhere else

oh you deleted it from questions1

[woeful pulsar]

use the angle range to help

the (pi/2 to 3pi/2)

[wary stream]

Do you know what vertex form is?

[flint crow]

not really

[wary stream]

By process of elimination, because it's multiple of choice, only one answer is correct. Three equations look identical, except for one

[crystal plinth]

help

plez

[quasi rapids]

This is what I'm talking about. I don't know if it has a name, for only every other side to be equal like that.

[wary stream]

Not sure about a name for that

[quasi rapids]

Nor am I. I imagne someone somewhere has attempted to give a name to such a shape, but if it's ever been published, accepted, distributed, understood, etc. I have no idea. I'm no mathematician.

[trim current]

wouldnt that be in 2nd quadrant?

[upbeat current]

Bruh

Im so confused

When i google a cosx graph, it shows that cos of 0 and cos of 180 is 1

But cos 180 is -1

Innit

[woeful pulsar]

but isn't second quadrant positive sin

[woeful pulsar]

wait really

doesn't it show cos of 2pi is 1?

and 2pi is 360 degrees

[upbeat current]

Yeah

Oh

My bad

Shet

So period is 360

Is it 180 for sine?

[woeful pulsar]

360 degrees for sin and cos

[upbeat current]

But sin0=sin180

Nvm

Im so dumb

[trim current]

so then would it be quad 3 or 4 then

and domain is positive, so would it be quadrant 3?

quadrant 2*?

[woeful pulsar]

what do you mean, domain is positive

do you know where pi/2 to 3pi/2 is?

[trim current]

yes yes, quad 1 i think

but then sin x = -1/2 so im

im just confused in general lnfao

lmfao*

what do you think it would be?

[woeful pulsar]

wait how is that quad 1

can you show the unit circle you drawn

[trim current]

wait wait wait, let me check my b

[woeful pulsar]

and mark out where pi/2 and 3pi/2 are

[trim current]

ok so i draw it, and i drawn it at quadrant 3, im so confused rn lol

my brain is gona explode

[woeful pulsar]

send a picture of the unit circle?

[trim current]

one sec, im tryin to send it from my phone

bruh its not letting me send tf

[grizzled hull]

can anyone help me with this

[woeful pulsar]

draw a unit circle

which quadrant is theta in

[grizzled hull]

4th

[woeful pulsar]

wait what

[grizzled hull]

wait sorry

second

[woeful pulsar]

somewhere there?

[grizzled hull]

ye second

sin 0 does

[trim current]

yes thats exactally where i got it

[woeful pulsar]

that's the third quadrant

[grizzled hull]

whaaa im so confused

[woeful pulsar]

yeah

that's the third quadrant

[grizzled hull]

WHAT

so what about the third quadrant

[woeful pulsar]

tan is positive and stuff

[grizzled hull]

arent we dealing with sin