help-0

[vale wigeon]

"all natural number sets even if written using different scripts"?

...

can you show a picture or screenshot of exactly what it says in the book

even if they used the word "equivalent" it's probably in an informal sense that you should not attach yourself to

[gritty veldt]

I see fair enough

gimme a sec

I guess the word I'm looking for is isomorphic?

[vale wigeon]

if you insist

i mean like

the point this paragraph is trying to make is that it does not matter exactly how you represent natural numbers, so long as it is clear what represents what

like, it does not matter if you write the number 5 as 5 or V or 五 or cinq so long as you understand that these all mean the same thing

i'm going to go semi-formal here and say that in general for two systems to be considered 'the same' we need to have a way to translate between them that goes both ways and preserves all relevant information

[gritty veldt]

Yes

thus my question is,
is the natural number is also "the same" with a one-side finitely long "chain" graph?

[vale wigeon]

i mean, you can certainly number the vertices of such a graph with natural numbers in such a way that each vertex is connected to its successor

but is there some reason why you ask this

[lone heart]

@gritty veldt Has your question been resolved?

[gritty veldt]

Not really, just curiosity. A thought that pops up in my mind. That help me confirms my understanding.

Thanks!

[lone heart]

Channel closed

Closed by @gritty veldt

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

can you only apply this formula when the lim x-> a is same as the constant a?

[alpine sable]

for example can you apply this formulae here?

.close

[lone heart]

Channel closed

Closed by @jaunty meadow

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[copper tangle]

Compute $\int_0^2 \lfloor x^2 \rfloor,dx$ ... Idk where to start

[ocean seal]

KaiML

Compute $\int_0^2 \lfloor x^2 \rfloor\,dx$ ... Idk where to start

[copper tangle]

Do I need to know the integral of floor?

Cuz I dont know the integral of floor

[topaz grove]

you don't know how to find the integral of x^2 ?

[copper tangle]

floor x^2

not x^2

Its a floor function

[topaz grove]

first, do you know how to find the intergral of x^2 ?

[copper tangle]

Yep

[topaz grove]

ok, so do that first

[copper tangle]

with the given bounds?

Or just indefinite

[topaz grove]

just indefinite first

[copper tangle]

Ok

x^3/3+c

[topaz grove]

ok, so this is a definite integral, so you don't need C

[copper tangle]

Right

no c : x^3/3

[topaz grove]

so now plug in your values. do you know how to do that?

[copper tangle]

Not really...

Is this FTC? I don't quite understand how to use that

[gray isle]

they seemed to have ignored the "floor"

[topaz grove]

[(x^3)/3 - (x^3)/3], plug in the higher value for the first (x^3)/3 and then the lower value for the second (x^3)/3

[copper tangle]

huh

[gray isle]

consider graphing y = floor(x^2)

[copper tangle]

Ok...

[gray isle]

from x=0 to 2

[topaz grove]

maybe i'm misunderstanding the question, it looks to me like it's a definite integral problem? am i wrong?

[gray isle]

note that 1^2 = 1
sqrt(2)^2 = 2
sqrt(3)^2 = 3
sqrt(4)^2 = 4

[copper tangle]

Yea It is but its a floor function

[brazen forge]

floor (x²) is discontinuous on the points √2 and √3 in the given interval, so you need to do a piecewise integral accordingly

[copper tangle]

Okay I graphed it, but not sure what to do next

[brazen forge]

1, √2 and √3* my bad

[gray isle]

consider the relation between definite integrals and (signed) area under a curve

[brazen forge]

The definite integral is the area under the curve right? Seeing as the curve is itself in pieces, you need to add up the area of these pieces

[gray isle]

after graphing the question is pretty much reduced to calculating the sum of areas of a few rectangles

[brazen forge]

So to say, split the integral into multiple smaller integrals that you can evaluate

Without worrying about the function being discontinuous

[copper tangle]

wait what...

Ok?

I am a little confused

[copper tangle]

So I just find area of the rectangles and add?

[brazen forge]

Yep, that's what a definite integral does

[copper tangle]

Huh ok thx for the help

.close

[lone heart]

Channel closed

Closed by @copper tangle

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[slim fog]

Is there any distinction between types (as in type theory) and sets?

[lone heart]

@slim fog Has your question been resolved?

[lone heart]

@slim fog Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cunning bloom]

could someone help me with this problem Determine the remainder when the number 33725^1579 + 8465 is divided by 11.

[cunning bloom]

i know i need to use some type of congruent method with modulus yet i dont see any similarities between the 2 numbers 33725 and 8465

[merry haven]

Tried to divide by 11? If they are divisible by 11 no matter what power it's the rest by 11 is 0. Is 1579 divisible by 11? Try to see this sections theorems/definitions to see if something can help you.

They are divisible by 5 anyway but I don't see what this can help you.

[lone heart]

@cunning bloom Has your question been resolved?

[cunning bloom]

.close

[lone heart]

Channel closed

Closed by @cunning bloom

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

Channel closed

Closed due to the original message being deleted

[alpine sable]

I need some help with these please

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fluid zealot]

what should i write for 6b? That slope and speed are the same?

[chilly panther]

For a distance time graph, the slope represents speed and can be calculated by dividing the distance travelled by the time it took to travel that distance

so the slopes for the two graphs represent the speeds across those distances

thus, the steeper the slope, the faster the car is going over that time period

make sense?

[fluid zealot]

yepp it does thank you

is part a correct?

[chilly panther]

No problem yes it is

car 1's speed can be found as 60m/1h

and car 2's speed can be found as 80m/2h

which is 40m/h

[fluid zealot]

kk tysmm

[chilly panther]

no problem 🙂

[fluid zealot]

.close

[lone heart]

Channel closed

Closed by @fluid zealot

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

#help-6

[lone heart]

Channel closed

Closed due to the original message being deleted

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[tawny jetty]

In proving an equation is dimensionally accurate, we ignore constants. However with the equation v^2=u^2 + 2as we can include the '2'. Why is this?

[lone heart]

@tawny jetty Has your question been resolved?

[lofty axle]

Context? Where did these equations come from? What dimensions are you talking about?

#❓how-to-get-help

[tawny jetty]

Disregard last question,

How would I answer the following question using arithmetic progression? I think I have to rearrange the formula for working out the sum of an arithmetic progression, but I am not sure.

The company find that the initial cost for producing a part is £450, each year the cost increases by £18.

Find the year in which the cost first goes over £600

[lofty axle]

It's a simple linear relationship

[alpine sable]

450+18x>600? solve for the lowest value of x that keeps the equation true

[lofty axle]

$C(y) = 450 + \sum_{i=1}^{y} 18 = 450 + 18y$

[ocean seal]

phlp

[lofty axle]

There's your arithmetic progression

[lone heart]

@tawny jetty Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[native knot]

why was this wrong?

[solid cargo]

Infinity - infinity is indeterminate

[lone heart]

@native knot Has your question been resolved?

[velvet osprey]

@native knot none of the above

Why ?

You should look for examples where you can't ansEr

[native knot]

ye i figured out what i did wrong

[velvet osprey]

The hard one might be 1^infinity

[native knot]

after finding out the 7 indeterminate forms

also

why was this wrong? @velvet osprey

[velvet osprey]

What did you do to answer ?

[native knot]

well i took the derivatives of both functions

and then evaluated them at points

[velvet osprey]

First all the intervals given are parts of R+

So you don't need to study the function when x<0

Then if you take the dérivativ of the functions when x>0 what do you get ?

You get 1/2 -cos(πx)+1 right ?

[native knot]

$-\cos \left(\pi x\right)+\frac{1}{2}$

ye

[ocean seal]

Soap

[velvet osprey]

So

What can you tell of this function ?

The sign oscillate so you can't say much right ?

So I think what you did was right

Then you have to find out where your calculus misteaks were

[native knot]

so i have a question what if I was asked to determine for example [-1/3, 1/3]

what do I do then?

because at x = 0 its not continous?

[velvet osprey]

No it's not

But it can still be increasing

You would have to do a variation tab

And look at where the first function lays beetwin -a and 0

For a certain a

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

Can someone explain to me the result and how did you get it?

[wary stream]

Use a calculator?

[alpine sable]

yeah ok but the calculator gives me a result while the books gives me another

[wary stream]

Then you didn't properly type it in

[alpine sable]

I can show you my book

result is 2^12

<@&286206848099549185>

[north needle]

There is a very painful and long winded way of doing this

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[simple current]

to do a differentiation of a function defined parametrically, you just do the derivative of the y function over the derivative of the x function right?

[ocean seal]

keto11

[simple current]

.close

[lone heart]

Channel closed

Closed by @simple current

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[neat schooner]

Hi, Im learning about 3d algebra and Iam not sure what they mean by this question. Even after looking at the answer Iam a little bit lost:
Question: "List the 48 different possible ways that the 3D axes may be assigned to the directions “north,” “east,” and “up.” Identify which of these combinations are left-handed, and which are right-handed."

Answer:

[placid zinc]

Any specific choice that isn't making sense?

[neat schooner]

Im really confused about this "righthanded" and "lefthanded" coordinate system

Like the next 2 questions are about it and i got all answers wrong

even though I thought I finally understood it

[neat schooner]

You know what, ill watch some yt videos and clear it up for myself, thanks for the heads up on trying to help me solve it :)!

.close

[lone heart]

Channel closed

Closed by @neat schooner

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[eternal crest]

How would I go about scaling this grid on the x and y axis without making the exponents and ! Extremely large?

[raven rover]

Increase the y min and y max?

[eternal crest]

Kinda

[raven rover]

Or just zoom out

Which increases every coordinate

[eternal crest]

So I want the x:0 and y:1 to be like x:0 and y:100

I’m kinda not so good at this kind of math so I’m not sure how to say it

So I think the zoom out one

[warm marsh]

Do second window and change them there I think

[eternal crest]

Wdym?

Ok ok wait, what I actually need is for the grid to be scaled on the x axis

I’m sorry about that

[lone heart]

@eternal crest Has your question been resolved?

[raven rover]

In Desmos you can choose the x min, x max, y min, and y max yourself

[eternal crest]

I’m not trying to use it in a calculator really I’m using it in Minecraft haha but I need the x axis to be scaled by 10 so like the wave would be wayyy longer but the graph not changing

[raven rover]

You change the x min and x max to be 10 times larger or something

[eternal crest]

In the equation?

<@&286206848099549185>

[eternal crest]

This is what I need help with

[lone heart]

@eternal crest Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[hybrid plume]

It can be factored to (x^2+5)^2

[jagged imp]

You can break it up as partial fractions $\frac{ax+b}{x^2+5}+\frac{cx+d}{(x^2+5)^2}$

[ocean seal]

Sneaky

[jagged imp]

being a case of this last one: an irreducible quadratic raised to some power

[hybrid plume]

Just found it in a video I see, I was trying to do it like the denominator was made of linear factors

That pic is really helpful thanks

[lone heart]

Channel closed

Closed due to the original message being deleted

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[rigid kiln]

i can't tell if this is right or not, i'm not sure if i'm allowed to just integrate each term

[charred flint]

are p1 and p2 vectors?

[rigid kiln]

(forgot to close the brackets, whoops)

components of the vector p

[charred flint]

I'm confused because usually P would be a scalar and gradP would be a vector

[rigid kiln]

isn't grad p supposed to be a scalar

[rigid kiln]

oh, right

[charred flint]

usually to reverse a gradient you just integrate one, get a +g(other variable) term, and integrate that one to figure out that extra term

[rigid kiln]

that makes more sense, i think i've just screwed up the initial problem

trying to solve an euler equation and not really getting it

[charred flint]

for fluid mechanics? yeah that's hard

[rigid kiln]

yep, i love mechanics but i wish i knew about all the god damn integrals i was gonna have to do

by far my hardest class

thanks anyways

.close

[lone heart]

Channel closed

Closed by @rigid kiln

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

Channel closed

Closed due to the original message being deleted

[hybrid plume]

,rotate

[hybrid plume]

Since the two systems are solved with different x values I can’t add them right?

[glass lichen]

you can add them yeah

[hybrid plume]

Really?

[glass lichen]

Yes....

[hybrid plume]

I believe u but damn

[glass lichen]

It's just 2 linear equations in A,B,C, and D... it doesnt matter where the equations came from.

[hybrid plume]

I thought because the left sides for both systems are 1 but the right sides are different it wouldn’t be allowed

Thanks

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fallow hollow]

Hey there, basic question that keeps tripping me up

[fresh parcel]

.

wheres the question lol

[fallow hollow]

If i have a function that takes in n and n is in hundreds, how would I rewrite the function so that it just takes single values instead

Still writing it out lol

[glass lichen]

define single values

[fallow hollow]

Yeah, fair enough lol

[glass lichen]

so you want n=1 to really become n=100?

[fallow hollow]

Yeah, essentially

[glass lichen]

horizontal dilation

[fallow hollow]

So just multiply n by 1/100?

[glass lichen]

$f(n)\to f(\frac{1}{100}n)$

[ocean seal]

Mosh

[glass lichen]

yep

[fallow hollow]

Yeah okay, thats what i thought. Man thats gonna look ugly lol

Thanks

.close

[lone heart]

Channel closed

Closed by @fallow hollow

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[vapid smelt]

Could someone help me solve this, thanks!

[gray isle]

where's cos(1/sqrt(2)) coming from

[vapid smelt]

sry

lol

it was supposed to be 1/sqrt(2)

only

not cos

writing mistake

[gray isle]

$\frac{1}{\sqrt{2}} = \frac{1-\tan^2(22\frac12\deg)}{1+\tan^2(22\frac12 \deg)}$

[ocean seal]

ℝamonov

[gray isle]

is all you really need

[vapid smelt]

ik, but i got sqrt(2) - 1

using that

[gray isle]

solve for tan^2(22.5°)
show work

[vapid smelt]

wait up

[devout summit]

Btw, $\sqrt{2}-1=\sqrt{3-2\sqrt{2}}$

[ocean seal]

Euclid31415

[vapid smelt]

ye

but i have to prove $sqrt{3 - 2\sqrt{2}}$

[ocean seal]

Inheritanc-e ♦

[devout summit]

$\sqrt{3-2\sqrt{2}}=\sqrt{(\sqrt{2})^2-2\sqrt{2}+1^2}=\sqrt{(\sqrt{2}-1)^2}$

[vapid smelt]

oooooo

oohh

[ocean seal]

Euclid31415

[vapid smelt]

yeeee

thanks

[devout summit]

Yes

[vapid smelt]

gotcha

thanks

.close

[lone heart]

Channel closed

Closed by @vapid smelt

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dire crown]

Can someone recommend good books for reviewing/wrapping up algebra II?

[dire crown]

oh wrong channel

[wary stream]

Ask in #book-recommendations

[dire crown]

yeah.

.close

[lone heart]

Channel closed

Closed by @dire crown

Use .reopen if this was a mistake.

[empty crow]

nerd

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

How can I get this into arctan

[velvet pelican]

I mean it's already a standard integral

But if you want, x=2u

[alpine sable]

i struggle with getting things into their standard trig identify form when it comes to integrals

Where did you come up with x = 2u

[velvet pelican]

4=2^2

So putting x = 2u will get 4u^2 + 4

In the denominator

Then you factor the 4

And are left with the arctan

[alpine sable]

if x = 2u, then shouldnt the denominator be written as 2u^2 + 4

not 4u^2

[velvet pelican]

No

It's x^2

(2u)^2

[alpine sable]

ohh i see

I need to practice a lot with trig integrals, lol

thank you!

.close

[lone heart]

Channel closed

Closed by @pastel latch

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dark pelican]

can someone please explain how to do this to me

[magic geyser]

did u solve the asympototes

[lone heart]

@dark pelican Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

Unfunny but, what is 69^420 x 420^69

[alpine sable]

and yes im serious

😎

[devout summit]

Use a calculator

[alpine sable]

I dont have oneon hand and im too lazy to go on google

[devout summit]

,w 69^420*420^69

[ocean seal]

Results provided by WolframAlpha

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

Requested by Euclid31415#9927

[alpine sable]

Greatness

Now i know 👍

.close

[lone heart]

Channel closed

Closed by @dapper moon

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

What will the value of x, if x = 5 mod 2

[alpine sable]

i want to know the process

to solve this kind of question

[gleaming granite]

do you know what mod means?

[alpine sable]

no

i wanna go ahead of my class

[gleaming granite]

if you divide two numbers the remained is the mod

so 5mod2 is the remainder of 5/2

[alpine sable]

oh

thats easy

so we just have to divide them

right ?

[gleaming granite]

yes

and find the remainder

[alpine sable]

so 2.5

[gleaming granite]

no

the remainder is the amount that isn't divisible

2 goes into 5 two whole times, and has a remainder of 1

so 5mod2 = 1

[alpine sable]

oh

[alpine sable]

and if I have the 1 and the 5

can any questin be formed

[gleaming granite]

what kind of question?

[alpine sable]

means with mod

how questions come

what question I gave you

thats just a example

I mean do we have simplification

or anything

[gleaming granite]

yeah

5mod2 = 1

[alpine sable]

5x ≡ 4 (mod 6)

this is different

?

[gleaming granite]

5x = 4mod6

i'm pretty sure that if the number in the front is less than the number in the back (4<6) you just use the front number (4mod6 = 4)

[alpine sable]

ok

how do I close this chanel

[gleaming granite]

.close

[alpine sable]

.close

[lone heart]

Channel closed

Closed by @supple cloak

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lucid wadi]

Hi

[lucid wadi]

Im so confused about this

I get the part about the restriction of the domain

so we have to find the other angle that has the same value but is in the doman

so how did we go from -10pi/9 to pi/9

[buoyant edge]

so youre confused on the reference angle part?

[lucid wadi]

is that a reference angle?

[buoyant kayak]

yes, they have the same reference angle

arcsin has the domain restriction [-pi/2, pi/2]

[lucid wadi]

but how did we get it

get from -10pi/9 to pi/9

[buoyant kayak]

by knowing they have the same reference angle

[lucid wadi]

we memorized the unit circle

not this though

i jsut know anything /6 or /3 or /4 or /2

[buoyant kayak]

don't need the unit circle for this

-10pi/9 is pi/9 away from pi, which is the x axis

[lucid wadi]

what if it was -11pi/9

[buoyant kayak]

reference angle if 2pi/9

[lucid wadi]

oh ok thanks

.close

[lone heart]

Channel closed

Closed by @lucid wadi

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[north wren]

I know part A is 0 by Green's Theorem and that for B, you can't use Green's theorem since the denominator (x^2+y^2) is 0 at the origin. How do you do part C?

[north wren]

someone in my class asked the professor and got a hint about using the region between c1 and c2 (since of course one of them has to enclose the other since they are not touching or intersecting). not really sure what he means yet

[lone heart]

@north wren Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

3x - y = -5
3x + y = -2
Came up with the coordinates (0,-5) & (1.66,0) B. (0,-2) & (-0.66, 0)

[alpine sable]

How Do I verify my answers for Linear Equations with 2 variables? :DD

feels like Im doing something wrong

[gray isle]

how'd you get 4 points

[alpine sable]

erm, 4?

[gray isle]

(0,-5) & (1.66,0) B. (0,-2) & (-0.66, 0)

[alpine sable]

Used Graphing method

sub x and y to 0

[north wren]

to check, plug in your coordinates for each variable in each equation and verify both equations hold true for each point. for example

[gray isle]

why are you randomly setting x and y to 0

[north wren]

but yeah there are only 2 equations so you should only get 1 point of intersection

actually in general w/ n equations and n unknowns you should get 1 solution

for linear systems

[alpine sable]

how exactly?
3(0) - (-5) = -5?

[north wren]

yes but then plug that into the second equation

notice that it doesn't hold true

[gray isle]

setting x or y to 0 can get you the x and y intercepts of the individual lines but that does not help you determine the solution / point of intersection in any way

[north wren]

3(0)+(-5) does not equal -2

so (0,5) is not a solution since it doesn't satisfy both equations

[alpine sable]

wait but the ex. had 4 points

[north wren]

looks like they were finding points of intercept

[gray isle]

those questions are asking for different things

[north wren]

yeah

[gray isle]

it was not clear what you actually wanted but writing just

3x - y = -5
3x + y = -2
would usually imply that you want the point of intersection

[north wren]

and there are lots of ways to do it but one of them is elimination

in this case you can just add the equations together

to get 6x=-7

[gray isle]

also leave stuff in exact form

[north wren]

so the x coordinate of the solution is -7/6

[gray isle]

e.g. leave 1/3 as 1/3 instead of writing 0.33 (which isn't the same as 1/3)

[alpine sable]

original was
3x - y = -5
y - 3x = -2
had to turn it into general form, plus the instruction indicated to use graphing method --

[north wren]

"graphing method" is a bit vague but i assume they mean just graph the lines and then see where they intersect. the intersection point of the lines is the solution to the system

[alpine sable]

Id prefer to use decimals in this case since i have to graph it

[gray isle]

get used to using fractions

they're much better

[north wren]

what you may have been doing beforehand was finding the 4 points where each line intercepts the axes

which could help you graph the lines

depending on how you're doing this

[gray isle]

you could have each gap on your diagram represent 1/3 units here
which allows you to be a lot more precise

[alpine sable]

am getting lost

lets roll back

so my coordinates are wrong right? so I must be doing something wrong

[north wren]

yeah we've been laying it all on p quick lol

well

those 4 coordinates you gave at the beginning

[gray isle]

some of the intercepts are wrong

[north wren]

are the x and y-intercepts of each of the 2 equations

[alpine sable]

yes

[north wren]

i didn't check if they are right

but if they aren't it might just be an arithmetic mistake

[gray isle]

assuming that 1.66 is supposed to be 5/3
check your signs

[north wren]

the thing that's confusing me i think

is why would you need to find the intercepts to solve the system

[alpine sable]

it goes
3x - 0 = -5
3x = -5

3x 3x

-5/3 = -1.66

[gray isle]

wdym by

3x = -5

3x 3x

[alpine sable]

crossing out 3x by itself

and dividing -5 by 3

[alpine sable]

so I can graph it?

[gray isle]

well then overlooking that questionable notation to represent that, you should've indicated division by 3

-5/3 is the correct x intercept for that line now

yes. attempt to graph it, make your graph sufficiently large to be as precise as needed

[north wren]

yeah although still wouldn't you need to algebraically solve the system to find where they intercept

can't just look at the graph

[gray isle]

if your graph is good enough, you can

[north wren]

unless you use a computer that does it perfectly

or that

[gray isle]

the graph will show the location of the point of intersection (i.e. the solution of the system)

[alpine sable]

welp ure right on this

welp I got a jist of how to recheck

i guess

so thanks

:DDD

[lone heart]

@alpine sable Has your question been resolved?

Channel closed

Closed by @sleek ledge

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

I guess i need help w this?

[alpine sable]

Just need to find H length. not even sure if it's possible . I feel like it is. All that is known is circumference. LINE DE = in length to ARC SE +.05cm

[lone heart]

@alpine sable Has your question been resolved?

[warm brook]

@alpine sable It's possible once you find the length of DE
If r is the radius, the length h is
r^2 + DE^2 = (r+h)^2

which gives h = sqrt(r^2 + DE^2) - r

[alpine sable]

OK so basically its not possible with given information for sure ?

[warm brook]

I think you just need the angle DCE

[alpine sable]

Yes lots of ways to do it w one other piece was really hoping there was a way but glad there isn't

[lone heart]

@alpine sable Has your question been resolved?

Channel closed

Closed by @ember kettle

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cinder sundial]

yy

[tiny minnow]

Please how i can help u?

[cinder sundial]

tim were doing a experiment about spring, heres the statistic he gets from the experiment,
the external force(gw) :20, 40 ,60, 80, 100
the total length of the spring(cm) :4, 6, 8, 10, 13

the original length of the spring is 2 cm

the question asks for the x

i got 27.5g as the weight, but its wrong

can someone point it out the error i have made

it relates to hooke's law btw

<@&286206848099549185>

[lone heart]

@cinder sundial Has your question been resolved?

[lone heart]

@cinder sundial Has your question been resolved?

[lone heart]

@cinder sundial Has your question been resolved?

[cinder sundial]

.close

[lone heart]

Channel closed

Closed by @cinder sundial

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[glacial cave]

Help

[fringe ember]

send qn

[glacial cave]

Ak=kc

<@&286206848099549185>

[fringe ember]

at a glance, i would say 90

but let's check

[glacial cave]

whats a glance?

Oh nvm

[lone heart]

@glacial cave Has your question been resolved?

[glacial cave]

.close

[lone heart]

Channel closed

Closed by @glacial cave

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[keen geyser]

I would like to move an object which is in a 3D world in the direction in which it is looking. I know that there are formulas for this but I just can't find anything about it. I already have found a formula for the x and y axis which I made a method for:

    public Vector3d vecFromRotation(AircraftInstance aircraftInstance, double speed) {
        float f = MathHelper.cos(-aircraftInstance.yRot * ((float)Math.PI / 180F) - (float)Math.PI);
        float f1 = MathHelper.sin(-aircraftInstance.yRot * ((float)Math.PI / 180F) - (float)Math.PI);
        float f2 = -MathHelper.cos(-aircraftInstance.xRot * ((float)Math.PI / 180F));
        float f3 = MathHelper.sin(-aircraftInstance.xRot * ((float)Math.PI / 180F));
        return new Vector3d((double)((f1 * f2) * speed), (double)(f3 * speed), (double)((f * f2) * speed));
    }

But I need it for all 3 axis (x, y, z).

[sage summit]

look at the documentation of what is inside aircraftInstance ?

[keen geyser]

thats my own class lol

[sage summit]

I am not sure how you can encode the orientation of a plane in 3D with just two numbers xRot and yRot

[keen geyser]

i have all of them

x y and z

[sage summit]

and what do those mean ?

[keen geyser]

Well I only want to get a direction from my rotation. I have the x y and z rotation.

[sage summit]

what is an x rotation

[keen geyser]

pitch roll and yaw

x y and z

[sage summit]

http://planning.cs.uiuc.edu/node102.html

probably the direction you want is one of the three columns of the matrix

[keen geyser]

thx

[sage summit]

I would just use matrices or unit quaternions if I were doing 3d stuff

[lone heart]

@keen geyser Has your question been resolved?

Channel closed

Closed by @keen geyser

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

Channel closed

Closed due to the original message being deleted

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[verbal olive]

Why is a shift cipher "limited to 26 keys"? when I try 40 as a key it works fine

[prime badge]

that's just key 14

[verbal olive]

Very interesting

And how is -n mod m done exactly?

<@&286206848099549185>

So it seems (z * x + a) % x == a % x explains both questions

.close

[lone heart]

Channel closed

Closed by @verbal olive

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

Mhm

<@&286206848099549185>

[raw shard]

channel is occupied

[indigo storm]

Ok

[raw shard]

we can represent this problem as 4t/5m = 7h

t = trenches, m = men, h = hours

[alpine sable]

Yea

I followed that google-web-process and perhaps its wrong!

[raw shard]

we need to multiply both sides by something that will get us 9t/7m

i would do (9/4) / (7/5)

this would also be (9/4)(5/7) = (45/28)

so multiply both sides by that

and simplify the fractions afterwards

[alpine sable]

Yeah we get 45/28

[raw shard]

yes, multiply both sides of 4t/5m = 7h by that

[bleak ridge]

I hate these kinds of problems

[alpine sable]

Don't we have simple logic making method?

It's kinda confusing yk

[raw shard]

the only way i can make this easier for you is if i do it myself

and i can’t do your work for you

[alpine sable]

Sure

Continue

[raw shard]

i’ve already said all i have to say

[prime badge]

treat it as a physics problem

[raw shard]

ignore them

[prime badge]

or don't

[raw shard]

all you have to do is multiply both sides by 45/28

[prime badge]

i mean don't ignore me is an option

[raw shard]

there is no need to treat this as a physics problem, that sounds like you’re over complicating it

[prime badge]

overcomplicating is what they asked

I see no issue with overcomplicating a problem, it's not a sin

5 men together have 4/7 t/h of power. Divide it by 5 and multiply by 7
means 7 men have 4/5 t/h

9 / (4/5) = 45/4 hours

[alpine sable]

Is answer

11.25?

YEAHHH

[prime badge]

must be

[alpine sable]

GENIUS ME

YA YAY

Look, genius I found a way!

1. Multiply time with 1st value of men
2. Divide with new value of Men
3. Divide with old value of Trenches
4. Multiply with new value of Trenches
   And boom!

You got the answer!

I'mma LEARN Those ways by heart cuz sequence of values will be same~

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[languid pendant]

How would I go about solving X in this equation

[languid pendant]

I know I want to get rid of the divisions but I don't know how

.close

[lone heart]

Channel closed

Closed by @languid pendant

Use .reopen if this was a mistake.

[languid pendant]

.reopen

[lone heart]

✅

[novel siren]

cross-multiply

[languid pendant]

It has been resolved in a dm

Thanks to hayat

[merry haven]

Close

[languid pendant]

.close

[lone heart]

Channel closed

Closed by @languid pendant

Use .reopen if this was a mistake.

[languid pendant]

Sorry my bad

It's still in occupied?

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

hi i have a quick question about probability. if i have a coin and get Heads 4 times in a row or if i get 2 Heads and 2 Tails, the probability is the same right? its 0.5^4 either way

[glass lichen]

Assuming it's fair and the tosses are indep then yes

All outcomes are equally likely

Or no, cause there's more way to get HTHT

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

Yeah thats what im wondering

But if its an ordered without repition ?

If you have 4 coins and then get heads of tails

Is it a binomial probability??

[north wren]

when you say 2 heads and 2 tails, do you mean getting 2 heads and then getting 2 tails

i.e. does order matter

if order does matter, then yes the chances are the same

if order doesn't matter then 2 heads and 2 tails has a much higher chance than 4 heads

because 2 heads and 2 tails could be HHTT, TTHH, HTHT, THTH, HTTH, THHT

each of those individually has a .5^4 chance, so getting 2 heads and 2 tails is 6 times as likely as getting HHHH

although again if you just mean HHTT then yes they're equally likely

@alpine sable

[alpine sable]

Oh that makes sense yeah so if its ordered then it has to be that exact order which means theres one possiblity as opposed to multiple if its not ordered

Thank you

[north wren]

yup

[alpine sable]

Alright thanks

.close

[lone heart]

Channel closed

Closed by @lusty musk

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fleet maple]

Hi, i'm trying to solve this expression but i'm having trouble finding the right moves and i've gotten completely stuck on what to do. The circled expression is the end goal.

[lone heart]

@fleet maple Has your question been resolved?

[fleet maple]

.close

[lone heart]

Channel closed

Closed by @fleet maple

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dark pelican]

how do i do this

[thorny patio]

It's secant or cosecant

[dark pelican]

yeah

i dont know 1) how to differeniate or 2) apparently the entire rest of the problem because desmos says my equation is wrong

[glass lichen]

Sec and csc just differ by a phase shift pi/2, like cos and sine

[dark pelican]

right but how do i know which is which in this scenario when there are other phase shifts

[glass lichen]

Sec has a minimum at x=0

[thorny patio]

There are multiple answers to a question like this you can decide to write it as a secant or a cosecant.

The "vertices" of the parabola like shapes are where the secant/cosecant part of the function takes on 1 or -1

The fact that y achieves 4/-4 at the "vertices" tells you its of the form

4*sec(something)

Or 4*csc(something)

[glass lichen]

Extrema is more apt than vertices imo

[thorny patio]

Yes i agree but I'm just using the term " vertex" as it's a quick analogue to a familiar graph

With quotes to boot xD

[dark pelican]

sorry but i really dont understand what your saying lol

so it doesnt matter if i choose sec or csc

[glass lichen]

It doesnt

The only effect the choice has is you'll have a different phase shift

[dark pelican]

okay so now for that question say i want to assume its csc, how do i find the equation

[lone heart]

@dark pelican Has your question been resolved?

[lone heart]

@dark pelican Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[crystal narwhal]

How th do i fo 8 iii?

[crystal narwhal]

here is the anwnser for it

but it doesnt say how they got it

[granite sleet]

Are u able to visualize folding the rectangle with square-cut corners to form a cuboid with open top

[crystal narwhal]

i thought they mean the area of this shape is 11x^2 + x -2

im an idiot

its this isnt it?

shaded regions are cut out

[granite sleet]

the square at the very bottom, where did that come from

open cuboid would have just 5 faces, since 6th face is open/void

[crystal narwhal]

ohh

other than that is this shape right?

[granite sleet]

yes

u fold the side faces and get a cuboid(3D shape)

[crystal narwhal]

ok

[granite sleet]

so for volume u just take product of the length, width and height

[crystal narwhal]

thanks for the help 🙂

cursed emoji

🙂

ffs

its supposed to be a emoticon

anyway ima go

[lone heart]

@crystal narwhal Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[willow dragon]

So far I've used conservation of momentum to get velocity of the red ball after to be 4u(-i+j) and the velocity of the white ball after to be u(2i+4j)

Then taking the line of centres to be -i+j as per the question I've tried to resolve my velocities to use Newton's experimental law

Which gave e=(4u+root2 u)/(5root2 u)

Does anyone see where I've gone wrong

[lone heart]

@willow dragon Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[strange chasm]

Hi I am working with graphs and using "fully connected" graphs as in the image.
There are 4 levels between nodes 1 and 200, and 4 in each level. I need to find the total ammount of paths from 1 to 200 using this graph, both unidirecionally and bidirectionally.
I figured out the equation for the number of paths for unidirectional(can only go to a node in a higher level) is (number of nodes per level)^(number of levels), ex: in the picture, the total ammount of paths is 4^4=256. I just need help to find the equation for the number of paths if the graph is bidirectional. I have made the following table with some values if its any help.

[lone heart]

@strange chasm Has your question been resolved?

[small stag]

what does number of nodes per level mean

[strange chasm]

@small stag im making a picture for you

Green is level 1, Blue is level 2, Pink is level 3 and Yellow is level 4

Number of nodes per level is 4 in this case

All levels have the same ammount of nodes

[lone heart]

@strange chasm Has your question been resolved?

[strange chasm]

<@&286206848099549185> any help here?

[lone heart]

@strange chasm Has your question been resolved?

[lone heart]

@strange chasm Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[last sinew]

will someone please help? Thank you so much!

[lone heart]

@last sinew Has your question been resolved?

[jagged imp]

is the last one the incorrect one

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[formal spoke]

.close

[lone heart]

Channel closed

Closed by @formal spoke

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lime abyss]

hello may i ask question for this question, i cant seems to get the value of x

[sand agate]

its prolly 30

[floral schooner]

is TSUV a trapizoid

[sand agate]

it is

[floral schooner]

cause then x is just 38

[sand agate]

i thought itll be 30

[floral schooner]

cause UV and TS are parallel

meaning angle UTS and angle UVT are alternate interior angles

[lime abyss]

this is the full question

38 isnt in the answer choice

or 30

[floral schooner]

the question never says it's a trapizoid

I was going off of that assumpion

[lime abyss]

is this question possible?

[floral schooner]

um

[silver viper]

then since angles in a quadrilateral add up to 360 degress you can find x

[lime abyss]

wait explain why it is 68

[silver viper]

uh coz OT and OU is the radius

[floral schooner]

ahh I was about to write that down lol

[silver viper]

then its isoceles triangle

[floral schooner]

yeah cause it's the radius so they form two isosceles triangles

I couldn't figure out why I wasn't getting an answer until I saw I wrote 38 * 2 = 72 lol

[lime abyss]

so the answer is 22?

am i right

omg thankyou youre an absolute genius !!

.close

[lone heart]

Channel closed

Closed by @lime abyss

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

hi

[vale sapphire]

Okay, so for this you could try solving it in your head, but it's annoying and I think the point of this is teaching you equations, isn't it?

[alpine sable]

ya

l = 5+ p

[vale sapphire]

First of all, the rule of thumb is to always set your variable to be the thing you actually want to know

In this case, x = leo's current age

[alpine sable]

alrighty

x = 5+p

[vale sapphire]

Can you express Pat's current age in terms of that?

[alpine sable]

??

[vale sapphire]

Ok yeah, do you agree p=x-5 is saying the same thing?

[alpine sable]

ya

[vale sapphire]

You don't want to add more variables, it'll make things more complicated

So try to express the various quantities in terms of your unknown

Anyway

Now, can you write down "twice Pat's present age" only using x

[alpine sable]

2p

oh

using x?

2x???

[vale sapphire]

that's twice leo's current age

[alpine sable]

o

uh

2x - 5

[vale sapphire]

close, but be careful about your multiplication

[alpine sable]

(x -5) times 2

[vale sapphire]

you meant to write 2(x-5)

which is 2x-10

but yeah

correct

so now, what's "Leo's age plus 10"?

[alpine sable]

uhh

[vale sapphire]

no tricks

[alpine sable]

(2x -10) + 10?

so 2x?

[vale sapphire]

leo's age

you wrote "twice Pat's age plus 10"

[alpine sable]

oh

x + 10

[vale sapphire]

remind me, what is x?

[alpine sable]

leo

[vale sapphire]

ok yeah

so just x+10

now, what does the problem tell us about these two quantities?

[alpine sable]

2x-10 = x+10

[vale sapphire]

Yes!

now you can solve

[alpine sable]

so

x = 20

[vale sapphire]

So Leo is 20 years old

And let's just quickly check

Pat is 15

In 10 years, Leo will be 30=15*2

[alpine sable]

what does 15*2 mean

times?

[vale sapphire]

yes

it's the usual symbol when you're writing with a computer

[alpine sable]

oh ok

[vale sapphire]

In summary, here's the method :

[alpine sable]

so is 20 the answer?

[vale sapphire]

We set x to be our answer and we found x=20

1. Set your unknown to be what you want to find
2. Express all of the quantities involved using x, and always think about what x is and if what you're writing makes sense
3. Now, the statement of the problem should tell you some of these are equal. Now you can solve and get the answer.

[alpine sable]

okay ty

[vale sapphire]

But yeah, I can't stress this enough, don't wing it

What you're writing has to make sense to yourself

After that, math works because it's a universal language for things that make sense

[alpine sable]

yah ty

.close

[lone heart]

Channel closed

Closed by @lean nexus

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lone heart]

Channel closed

Closed due to the original message being deleted

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lethal yacht]

Hi

[lone heart]

@lethal yacht Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[vale wigeon]

you want to solve for x and y in terms of m?

@untold sequoia

...do you have the instructions for the problem as it appears in your textbook?

maybe it'll be easier to see what your goal is

even if it's in another language.

okay

i can tell you for sure that you have made it way, way, way more complicated than it needs to be

it seems to have escaped your notice that this is a system of linear equations, and so can (and should) be solved as a system of linear equations

yeah but they're linear in x and y

and your work doesn't respect that

again

you've made things more complicated than they need to be

from 6x + (m-1)(m-1 - mx) = 4 you could have expanded it as 6x + (m-1)^2 - m(m-1)x = 4

and then you could have grouped the x terms as [6 - m(m-1)]x + (m-1)^2 = 4

so you have (6 + m - m^2)x = 4 - (m-1)^2

do you not agree that this equation is much much easier to solve for x than the nonsense you came up with

so you can clean up a bit more here

to get (m^2 - m - 6)x = (m-1)^2 - 4

which turns into (m-3)(m+2)x = (m-3)(m+1)

so you have three meaningfully different cases: one where m=3, another where m=-2, and a third where m is neither 3 nor -2

do you understand how to continue from here?

no

the case m=3 is very different from m=-2

it's not clear what you're talking about right now

you are not making it clear which case you're claiming to have infinite solutions and which case you're claiming to have no solutions.

see this is what you should have said instead of "then no x is a solution"

[lone heart]

Channel closed

Closed by @untold sequoia

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

11 Brad travelled from his home in New York to Chamonix.
• He left his home at 1630 and travelled by taxi to the airport in New York.
This journey took 55 minutes and had an average speed of 18km/h.
• He then travelled by plane to Geneva, departing from New York at 2215.
The flight path can be taken as an arc of a circle of radius 6400km with a sector angle of 55.5°.
The local time in Geneva is 6 hours ahead of the local time in New York.
Brad arrived in Geneva at 1125 the next day.
• To complete his journey, Brad travelled by bus from Geneva to Chamonix.
This journey started at 1300 and took 1 hour 36 minutes.
The average speed was 65km/h.
The local time in Chamonix is the same as the local time in Geneva.
Find the overall average speed of Brad’s journey from his home in New York to Chamonix.
Show all your working and give your answer in km/h.

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cedar vault]

if we are given a venn diagram like this and we are asked to find (in set notation) the subset which has no elements, can we say that (B n C) n A' c B?

[cedar vault]

or (B n C) n A' c C?

small c denoting subset and and n denoting intersection (since i dont have those symbols on my keyboard)

[glass lichen]

why are you using subset?

[cedar vault]

i dont know, the question asked us what subset has no elements

i gave that as answer on my exams

[glass lichen]

You make an intersection of disjoint sets

Or do they want you to write the section in the venn diagram that's empty?

[cedar vault]

the region in blue?

[glass lichen]

$B\cap C\cap A^c$ I believe

[ocean seal]

Mosh

[cedar vault]

no, i dont have the question rn since i sat for the exam a little bit over 6 hours ago but yeah we had a venn diagram like that and i could only notice B intersect C intersect A prime not having any elements

so i gave that as an answer

[cedar vault]

A^c is A prime?

[glass lichen]

??

the complement of A is A^c

[cedar vault]

yes complement

we call that prime here idk

anyways yeah

[glass lichen]

ok, well yeah

it's the subset that contains stuff in B and C, and not in A

[cedar vault]

okay okay

but

[cedar vault]

i added that this entire thing is a subset of B

is that wrong?

[devout summit]

It's not necessary

[cedar vault]

hmm

[devout summit]

And once you wrote subset symbol, it became a statement

[cedar vault]

so i may lose points for that.. hmm

anyways, thank you

just had a doubt

.close

[lone heart]

Channel closed

Closed by @cedar vault

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

hi

[alpine sable]

When dealing with cubed roots and graphing them as functions

do i use the decimal form?

[bleak ridge]

Wdym by decimal form

[alpine sable]

well if my first input is x = 0

then my answer would be index 3 radical then radicand of 5

so to graph is my answer just x = 0 and y =5

[bleak ridge]

Is the +5 under the radical?

[alpine sable]

oh

no

ok nevermidn then thanks i missed that

[bleak ridge]

Reasonable

[alpine sable]

.close

[lone heart]

Channel closed

Closed by @steep monolith

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[shell obsidian]

would the answer to a) be 6+6+6 = 18 ?

i'm not sure how to approach this

i'm sure it's just summing in some way but i can't figure out the right way to get answer to a

[toxic rose]

Usually you don’t add combinations, you multiply them.

[shell obsidian]

oh i see

summing would be viable only if there was one role to be elected i think

so 6P3 would be 120

is this the right approach

i assume it's just 6P3 if one role is already decided 🤔

[toxic rose]

One role is already decided, but for two different people.

So in some cases one will be chairman

And in the other half of the cases it will be another person as chairman

[shell obsidian]

okay thanks for the hint

i'll figure it out

can it be just 6x5 = 30

is it that simple