help-0

[mellow reef]

google says its 1.6

[ocean seal]

kjmkty

[mellow reef]

ohhh

[limpid tapir]

you see the difference

[mellow reef]

what about

my friend said the answer is phi

and phi is

1.6

im so confused

[limpid tapir]

its not the answer

[mellow reef]

this what he said

[limpid tapir]

this is the equation

you needed to solve

[mellow reef]

ye

[limpid tapir]

and phi is the root of this equation: x^2-x-1=0

not x^2+x-1

[mellow reef]

ohhhhh

ok thanks

.close

[lone heart]

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[wanton tusk]

hihii i need help w the hence part onwards

my fren got a sequence of natural logs of even no. but I didn’t get that

<@&286206848099549185>

[last ether]

Were you able to prove the top statement first @wanton tusk ?

Oh wait nvm

[alpine sable]

do you know the principle behind telescoping sums?

[wanton tusk]

oh wait sry let me send my working

[last ether]

Where's ln(n)?

ln(n-1) should also get cancelled out, no?

You have a -ln(n-1) and + ln(n-1) in the telescope

Oh wait no I'm blind why am I having brain moments

[last ether]

Show me how you got from the first line to the second

[rigid smelt]

im not sure why you decided to calculate the sum like that. Try to split the whole sum up to three seperate sum, sum of ln(r), -ln(r+1) and ln(r+2)

and i assume you know that sum of ln(r) from 1 to n is ln(n!), you can try applying this the same method of how you would calculate the sum i mentioned

[lone heart]

@wanton tusk Has your question been resolved?

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[glacial dagger]

Hello, I have an assessment that my teacher will grade for homework, so could someone please check through all the work throughly and tell me if there is anything wrong?

[wanton tusk]

SRYY I was helping someone

but I managed to get the ans!! ty for the help tho :DD

[lone heart]

@glacial dagger Has your question been resolved?

[wanton tusk]

hihii I found a mistake in q4

u can’t divide by 1/2 with a + still there

it needs to be a cf in order to divide on both sides

[glacial dagger]

Is that all?

@wanton tusk

[wanton tusk]

yepp! other than some presentation errors

but idk how it is where ur from thoo

but the ans shd be fine from what I’ve seen :))

someone else can try checking too bec I might’ve missed smth out

[lone heart]

@glacial dagger Has your question been resolved?

[glacial dagger]

<@&286206848099549185> could someone else check again?

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[glacial dagger]

.close

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[tranquil barn]

Ahem

[tranquil barn]

Why did i get differnt brackets although i used quadritc formula isnt is supposed to work for every binomial?

[alpine sable]

When the leading coefficient isn't 1 then you need to multiply by it to the (x-a)(x-b) for it to be equal to the quadratic expression

[tranquil barn]

What does (x-a)and (x-b) refer to?

Oh wait

[tranquil barn]

Like this right?

.close

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[main pagoda]

this -49 should be +33 where did i go wrong?

[wanton tusk]

-36 shd be +36

in ur (z-3) term

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@main pagoda Has your question been resolved?

[main pagoda]

Oh yea thanks

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[limpid spade]

any astrophysicists here

[limpid spade]

A Molniya satellite orbit is an elliptical orbit around the Earth with a high eccentricity and a large inclination relative to the equator plane. Seen a satellite on such a Molniyabaan very
Moving slowly around its apogee (the furthest point from the orbit), it spends a great deal of time over the Northern Hemisphere, which is useful for telecommunications between areas at high latitudes north.
The job is limited by the following wishes:

• we want the satellite to go through its apogee twice a day. The orbital period is therefore half a sidereal day (you may equate the duration of a sidereal day to 24 hours for simplicity).
• we want the satellite to stay 600 km above the Earth's surface at perigee (closest point of orbit) so as not to suffer from friction with the atmosphere.
  To ask:

1. Calculate the semimajor axis a and eccentricity e of this satellite orbit.
2. How many hours has a satellite on this orbit been above the Northern Hemisphere (per circle,
   of course)?
   i did 1. using kepler third law and for e basically 600km=a*(1-e)
   i dont know how to do second

G universal constant, M mass of earth, e eccentricity, a semi major axis, P period and v velocity
answer to 2 is supposed to be 10 hours i came 3 seconds xd

[mellow tusk]

isnt this maths server

[limpid spade]

maths is a subset of astrophysics!

[mellow tusk]

so is physics?

[limpid spade]

i thought of using
$v=\sqrt{\frac{(GM)(1-e)}{a(1+e)}$
and

[ocean seal]

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

[limpid spade]

$P=\frac{2\pi*a}{v}$
but didnt help

[ocean seal]

Fucktalogist

[limpid spade]

G universal constant, M mass of earth, e eccentricity, a semi major axis, P period and v velocity
answer to 2 is supposed to be 10 hours i came 3 seconds xd

[limpid spade]

n0

[lone heart]

@limpid spade Has your question been resolved?

[lone heart]

@limpid spade Has your question been resolved?

[surreal meadow]

@limpid spade i would ask in the physics server in #old-network

they’ll probably be able to help more

[limpid spade]

im banned there for some reason xd and i already asked in astronomy server

[limpid spade]

.close

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[dry osprey]

A factory tests 100 light bulbs for defects. The probability that a bulb is defective is 0,02. The
occurrences of defects among the light bulbs are mutually independent events,
Calculate the probability that exactly two are defective given that the number of defective bulbs is two or fewer.

[lone heart]

@dry osprey Has your question been resolved?

[dry osprey]

this isnt anything school related for me, my friends a math major and he told me he would only play if i could answer this math problem

i dont even know the first step

[abstract badge]

since we are talking theoretical probability
the probability that a light bulb is defective=0,02
literally means that if you have 100 bulbs 2 of them will be defective 100% of the time

but that last statement is putting me kinda off

i think there lies the twist

[abstract fractal]

That's not true. The probability of getting heads on a coin flip is 0.5, but that doesn't mean you'll always have one head and one tails when flipping twice

[abstract badge]

theoretically yes

but practically no

[abstract fractal]

Theoretically no

[limpid spade]

i flipped a coin 15 times once and never got head 😭

[abstract badge]

there are 2 kinds of probabilities

[abstract badge]

you are wrong

[abstract fractal]

Theoretically, you can expect two defective bulbs in 100 bulbs

That does not mean you will "get two defective bulbs 100% of the time." That's nonsense

[dry osprey]

so its saying that there are confirmed 2 defective lightbulbs but i just need to determine the probability of that happening?

[abstract badge]

but you were already given the proba of that happening

[abstract fractal]

It's saying that you know for a fact there are no more than 2 defective light bulbs. There could be 2, there could be 1, or there could be 0

[dry osprey]

oh i see

[abstract fractal]

It's asking "what are the odds you have 2?"

There's Bayes formula for calculating the odds of A given B, or you can note that the probability of getting 2 given there's 0, 1, or 2, is the same as the probability of getting 2 divided by the probability of getting 0, 1, or 2

[dry osprey]

damn bruh math major math is hard

should i just give up, i dont need to answer

[abstract fractal]

I wouldn't suggest giving up. It's not a hard problem

Think of it intuitively: the probability of something happening is (the number of outcomes we want)/(total number of outcomes)

For example, the odds of getting heads on a coin flip is 0.5, because there's 1 way to get heads and 2 total outcomes (heads and tails). Thus, the probability is 1/2

This is assuming each outcome is equally likely

Alternatively, you can think of it like (the odds of getting the outcomes we want)/(the odds of getting all possible outcomes). This isn't the best way to word it properly, but for most cases, the denominator of that one is 1.

In our case though, all possibilities are "0 defective bulbs," "one defective bulb," or "2 defective bulbs." So the denominator would be the odds we have one of those cases

I'm probably not explaining this as well as I'd like

[dry osprey]

no no its ok im just really bad at understanding ive never been too good at math

so we know its 2 or below

[abstract fractal]

So, what are the odds of getting two defective bulbs in general?

[dry osprey]

wouldnt it just be 2/100?

or am i thinking about this wrong

[abstract fractal]

That's the odds of getting one defective bulb in a set of... one bulb

[dry osprey]

ohhhh

[abstract fractal]

We want the odds of getting exactly 2 defective bulbs in 100

[dry osprey]

so then i would need it to be 4/10000?

[abstract fractal]

Not quite

That's the odds of getting 2 defective heads in 2 bulbs

There's actually a formula to calculate "the odds of getting exactly x successes in n tries."

[dry osprey]

so just increasing the denominator doesnt really change much?

[abstract fractal]

It's nCx * p^x * (1 - p)^(n - x)

[abstract fractal]

You multiplied (2/100)(2/100), right? That only applies if you're looking at only two bulbs and you want to know the odds both are defective

[abstract fractal]

Also, p here is the odds of getting a success, i.e. the odds of getting a defective bulb

[dry osprey]

wait so then theoretically i could do this 100 times and get it?

[abstract fractal]

No. That would tell you the odds of getting 100 defective bulbs

[dry osprey]

ahhhhh

okok i understand

[abstract fractal]

You're on the right track though

We can think of it as the odds of getting 2 defective bulbs AND 98 non-defective bulbs

So instead, you could multiply the odds of getting a defective bulb two times, times the odds of getting a normal bulb 98 times

Well, almost

But that'll get us closer

Are you following?

[dry osprey]

i think so

[abstract fractal]

So, what do you get after multiplying those probabilities? Feel free to leave it as a decimal, it's probably pretty small

[dry osprey]

i think im lost again

would the odds of getting a defective bulb two times be 4/10000 like before?

[abstract fractal]

Yes

Or 0.0004

[dry osprey]

okok so then the odds of getting a normal bulb 98 times would be 98/100

?

[abstract fractal]

No, that's the odds of getting a normal bulb once

The odds of a defective bulb is 0.02

So the odds of a normal bulb is 0.98

But just as you multiplied 0.02 twice in order to get the odds of two defective bulbs, what can you do to get the odds of getting 98 normal bulbs?

[dry osprey]

oh would you have to multiply it 98 times?

[abstract fractal]

Yes

Or just raise it to the 98 power

And then multiply that with 0.0004

It's probably a very very small number

[dry osprey]

lemme try

ok i think i got it

0.00005523513

[abstract fractal]

,calc (0.02)^2 * (0.98)^98

[ocean seal]

Result:

5.5235133650459e-5

[dry osprey]

damn

[abstract fractal]

Looks right to me

[dry osprey]

oh nice

[abstract fractal]

Not as small as I thought

[dry osprey]

i thought i was wrong

[abstract fractal]

Now, we're not done yet

[dry osprey]

right

[abstract fractal]

That's the odds of a particular combination of bulbs. I.e., that's the odds of specifically having 2 defective bulbs, then 98 normal bulbs

But we could have 98 normal bulbs and 2 defective bulbs, or 1 defective bulb, 90 normal bulbs, another defective bulb, and 8 more defective bulbs

We need to multiply that by the total number of ways you can order two defective bulbs and 98 normal bulbs

[dry osprey]

so how would i got about doing this

[abstract fractal]

Do you know how to find the number of ways to order objects?

Combinations, permutations, that kinda thing?

[dry osprey]

i knew having fewer the 2 possible defective bulbs was possible but i didnt put into consideration the number of normal bulbs

i dont tbh

[abstract fractal]

Well, here's how we can do it. Let's say I only had 5 normal bulbs and 2 defective bulbs

That's a total of 7 bulbs, right?

Do you know how many ways you can order 7 objects?

[dry osprey]

do you mean like averages?

[abstract fractal]

No

Let's say I had the numbers 1, 2, 3, 4, and 5

I can order those 12345, or 54321, or 13254, or 15234, etc

How many ways can I order those 5 numbers?

[dry osprey]

ohhh so like how many different orientations of those 5 numbers can there be?

[abstract fractal]

Yes

How would you find that?

[dry osprey]

im trying to do it in my head but im assuming theres a better way that im not aware of

[abstract fractal]

Consider this. How many numbers can go into the first spot?

[dry osprey]

5

[abstract fractal]

Good. Now, once a number is in the first spot, how many can go in the second?

[dry osprey]

4 no?

because there would already be a number in the first spot

[abstract fractal]

Yes

And we can go all the way down to the 5th spot with 1, right?

[dry osprey]

exactly

[abstract fractal]

The total number of combinations is then 5 * 4 * 3 * 2 * 1

This is denoted 5!, or "5 factorial"

[dry osprey]

ohhhh

so then for 7 it would be 7 factorial?

[abstract fractal]

Yes, though we need to be careful

We have duplicates. We can swap two normal bulbs and have the same ordering

Because the 5 normal bulbs can be ordered in any way, we need to divide by the number of ways to order 5 bulbs

Similarly, we also need to divide by the number of ways to order 2 bulbs due to the two defective bulbs

[dry osprey]

so then for the defective bulbs we would just divide by 2?

[abstract fractal]

Yes

Don't forget the 5 normal bulbs as well

[dry osprey]

we would divide by 120 for the normal ones right?

[abstract fractal]

Yep

We can generalize this idea. The number of ways to organize m normal bulbs and n defective bulbs is (m + n)!/(m! * n!)

So in our original example, how many ways are there to organize 98 normal bulbs and 2 defective bulbs?

[dry osprey]

4950?

[abstract fractal]

Yep

So now we need to multiply the probability we got before with 4950

[dry osprey]

this probability right?

[abstract fractal]

Yep

[dry osprey]

i got 0.273394935

[abstract fractal]

,calc 4950 * (0.02)^2 * (0.98)^98

[ocean seal]

Result:

0.27341391156977

[abstract fractal]

Close enough

That's the first part done

[dry osprey]

nice

[abstract fractal]

Now we need to know the odds of getting two or less defective bulbs

We can find that by finding the odds of getting 2 bulbs (already done) + the odds of getting 1 bulb + the odds of getting 0 bulbs

So, what are the odds of getting exactly one defective bulb?

It's the same principle we've done already

[dry osprey]

so one would be 2/100?

[abstract fractal]

Sorry, I meant one defective bulb out of 100

[dry osprey]

ahhh

2/10000

right?

[abstract fractal]

No

[dry osprey]

damn

[abstract fractal]

Remember what we did to find the odds of getting exactly 2 defective bulbs out of 100 bulbs?

We're doing the same thing, but with 1 defective bulb

[dry osprey]

it was 2/100 squared right?

unless i completely forgot already

[abstract fractal]

It was (2/100)² times (98/100)^98

And then times the number of ways to order the bulbs

[dry osprey]

right right

so then id have to find 99 normal and 1 defective one

[abstract fractal]

Yep

[dry osprey]

0.00369729637

this is what i got

[abstract fractal]

I'm not quite getting that

How'd you get it?

Ah

[dry osprey]

wait

i think i messed up

[abstract fractal]

The odds are still 0.02 and 0.98

[dry osprey]

i think i confused myself and changed it from 2/100 to 1/100

lemme retry

0.00270652154

is this any closer

[abstract fractal]

Yes

But now you have to multiply by the number of ways you can order one defective bulb and 99 normal bulbs

[dry osprey]

right

499950?

[abstract fractal]

What's 499950? The odds? Or the number of ways you can order them?

It's incorrect either way

[dry osprey]

danb

[abstract fractal]

How'd you get 499950?

[dry osprey]

wait

i see what i did wrong

i got 100

[abstract fractal]

Yep

Multiply that with the probability

[dry osprey]

0.270652154?

[abstract fractal]

Yep

Lastly, we need the odds of getting zero defective bulbs in 100 bulbs

Aka, the odds of getting 100 normal bulbs

[dry osprey]

would this just make is (2/100)⁰ x (98/100)¹⁰⁰?

[abstract fractal]

Yep

Which is?

[dry osprey]

0.13261955589

[abstract fractal]

Yep

So what's the sum of the three probabilities?

[dry osprey]

0.6766856215?

[abstract fractal]

Yep

That's the odds of having 2 defective bulbs or fewer in 100 bulbs

For our final answer, what's the odds of getting exactly 2 defective bulbs in 100 bulbs divided by the odds of having 2 bulbs or fewer in 100 bulbs?

[dry osprey]

8.16259844×10−5?

i think im wrong

[abstract fractal]

The odds of getting exactly 2 bulbs out of 100 bulbs isn't 0.00005...

[abstract fractal]

.

[dry osprey]

ohhhhh

0.4040206062

[abstract fractal]

Yep, at least approximately

There's always rounding errors and such

[dry osprey]

nice! i didnt think id be able to do this

i really appreciate all the help!

[abstract fractal]

Well, you had the disadvantage of not having a lot of prerequisite knowledge

Answering the question requires knowledge of permutations, combinations, probability, etc

[dry osprey]

man im just happy i got it done

thanks a lot

.close

[lone heart]

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[shell pollen]

In an experimental study, are the number of treatment combinations equal to the number of experimental units?

[main pagoda]

Look at the (0, -5, 0)

are we suposed to take whatever numbers we want

cuz the exercise says

Take a point of whichever u want from one flat

idk if i translated good

.close

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[alpine sable]

Excuse me, I speak Spanish but I did not understand that question and they told me to join so they could help me

[alpine sable]

Im assuming they want to know which theorem is being described in the image?

then you justify why it is that one?

What he asks me is : According to each graph, indicate to which notable product it belongs and why, make three examples:

<@&286206848099549185>

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@alpine sable Has your question been resolved?

[alpine sable]

.close

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[tame hound]

hey, is there a easy way to calculate 14/29?

[chrome depot]

What does an "easy way" mean?

[tame hound]

like less than 10 secs

@chrome depot

[frosty lark]

What

What does calculate mean?

Convert to decimals?

[chrome depot]

I mean if you think of getting 14/29 = 0.482758621

Then there are various speed calculation methods out there

[lone heart]

@tame hound Has your question been resolved?

[tame hound]

Such as?

[tame hound]

Yeah

[lone heart]

@tame hound Has your question been resolved?

[lone heart]

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[crystal gyro]

Hello! Can someone help me with this question please

[crystal gyro]

I tried equating the x of both of them and getting equations in terms of t and s

but i cant seem to get the right answer

[rustic coral]

You can also set the y and/or z coordinates equal

[crystal gyro]

okay i did that

and I got s as 1 and t as 2

where do i plug that back in

[rustic coral]

,w -2t=-9+5s, 1+2t=2+3s

[ocean seal]

Results provided by WolframAlpha

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

Requested by messy circle creation#1465

[crystal gyro]

do i plug it into the simultaneous equation? because then I get x as 0 but thats wrong

[rustic coral]

Back into the original equations

[crystal gyro]

L1 or L2

[rustic coral]

You should get (-4, 5, 6)

[rustic coral]

Either, the equality you set at the start means they'll be the same

Cause you're solving for intersection after all

[crystal gyro]

oh shit yeah that worked

thank you!

[rustic coral]

np

[crystal gyro]

if i have another question, do i have to close this and reopen the channel? or do i just send it here

[rustic coral]

Eh you could prob send it here

It's your channel after all

[crystal gyro]

nicee okay im working on this one now

i followed this: https://math.stackexchange.com/questions/2686606/equation-of-a-plane-passing-through-3-points

my AB was (1,-3,0) and my AC was (1,-2,0)

and my cross product was (0,0,1)

[crystal gyro]

i think i did that here

so I got z + c = 0 -> 1 + c = 0 -> c = -1
and then the final equation became z - 1 = 0

but thats wrong :(

[crystal gyro]

yeah its these

i went back through my steps a couple of times but i cant figure it out

ahhh

oh shit

goddamnit it worked

i spent a solid 2 hours on this

thank you so much lol

yesss

i have one last question!!

for this one

i equated the x, y and z for L1 and L2

and for x, i got t as 32

14+6t = -18+7t -> 7t-6t = 14+18 -> t = 32

so i plugged that back into the x but it looks like its wrong

[rustic coral]

You prolly need to compute the coordinates as a single number
However, they intersect if and only if t is the same for the x, y, and z coordinates

,w 20+6t=-14+8t

[ocean seal]

Results provided by WolframAlpha

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

Requested by messy circle creation#1465

[rustic coral]

,w 20+6t, t=32

[ocean seal]

Results provided by WolframAlpha

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

Requested by messy circle creation#1465

[rustic coral]

,w -14+8t, t=32

[ocean seal]

Results provided by WolframAlpha

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

Requested by messy circle creation#1465

[rustic coral]

They prolly shouldn't have used the same parameter/scalar, but I don't think that was the intention based on what I got above

[crystal gyro]

oh wait yeah youre right i think

i got the answer

i just changed the variable in the second set of equations

so i used s instead of the t they gave

and i solved it to find t and s, and plugged it back in

thank you so much @rustic coral @alpine sable !!

life savers

.close

[lone heart]

Channel closed

Closed by @crystal gyro

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.

[wispy cave]

Excersise 1

[last ether]

,rotate

[last ether]

Isolate the y variable in the linear equation

Then replace y in the circle

@wispy cave

[wispy cave]

I’m this far I am new to this topic trying to figure out on my own before cover in school

(like this?)

[last ether]

Check your equation for y

y ≠ 3x-5

[wispy cave]

yuh

have that

[last ether]

No it's incorrect

What you have for y is wrong

[wispy cave]

oh

[last ether]

Hence the ≠ symbol

[wispy cave]

oh

ok

[last ether]

Just a minor error, shouldn't be too hard to fix

What is -5 • -1

[wispy cave]

-5

[last ether]

You sure?

[wispy cave]

what is that .

in the middle

[last ether]

Multiply

[wispy cave]

5

soz

[last ether]

Yeah so

y = 3x+5

And then it should work out nicely from there on

[wispy cave]

i read the question wron

i took down 3x-y+5 = 0

-5

soz

[last ether]

All good

$$x^2 + (3x+5)^2 = 5$$

[ocean seal]

Umbraleviathan

[last ether]

Shouldn't be too hard

[wispy cave]

10x2 +30x+20 =0

?

x=-3x - 1

[last ether]

Yeah

[wispy cave]

that the awnser

[last ether]

Well no

[wispy cave]

route

3

[last ether]

Use quadratic formula

[wispy cave]

k

my calculator says math error

?

+= -1 -=-2

-9

9

1.5

[wanton tusk]

hihii

[wispy cave]

hello

[wanton tusk]

u can’t have a negative inside a sq rt

[wispy cave]

i stupid

[wanton tusk]

me too HAHA

[wanton tusk]

no square number will be negative

[wispy cave]

oooooooooooooooooooooooooooooooooooooooooooh

[wanton tusk]

in the real world

so for the formula

the negative is actually outside the sq rt

a= 10,, b= 30,, c = 20

[wispy cave]

oh so i went away ahead of myself

[wanton tusk]

u shd get (-30 +- rt(30^2 -4(10)(20)) / 2(10)

yepp or u can just factorise ^^

this method is easier imo

[wispy cave]

i got it

[wanton tusk]

yay

[wispy cave]

not i replace the x

[wanton tusk]

with enough practice u can HAHA

[wispy cave]

now

[wanton tusk]

or u can just do a quick side working

wait what’s the question

as in did he ask why not replace the x instead?

[wanton tusk]

this

[wanton tusk]

oo

[wispy cave]

i not complete idiot

i just forgot all about factorising

[wanton tusk]

yes can

[wispy cave]

even tho thats my main form of gettign the numbers

?

[wanton tusk]

yes can take our common factor 10 to make it easier for u to see

[wispy cave]

i did that earlir but i thought i fucked up

so just went back

[wanton tusk]

oooo

u were on the right track

[wispy cave]

for some reason i has route - 3

[wanton tusk]

but issok this method works too

[wispy cave]

and did not like that

cus could not devide

divide

so if i were to do q2 would it be the same thing

[wanton tusk]

have pic?

[wispy cave]

Bit messy

[wanton tusk]

b is 3

why rt-3?

[wispy cave]

it was x2

and i just divided it again

and dint know what to do so just routed it

[wanton tusk]

yeshh,, similar

[wispy cave]

i like how the other guy got fed up with me lol

[wanton tusk]

after u substitute use discriminant

for q2

[wanton tusk]

HAHAA

my teachers got fed up w me a lot too

slow learner 😭

issok @alpine sable won’t give up on u

[wispy cave]

lol

[wanton tusk]

HAHAH

I did that too when I first learnt this topic

imaginary world no?

ooooo icic

wait I think I’m learning that soon

mm

sounds imaginary like my good grades

nopes HAHA what’s that

I’m in jc

[wispy cave]

u irish

[wanton tusk]

17 years old

I’m in Singapore

[wispy cave]

jc

what is that

[wanton tusk]

Junior college

[wispy cave]

jc in ireland is the junior cert

[wanton tusk]

It’s like pre-uni

HAHAHAH u got accepted into the so called better uni

u know there’s a lot of drama there rn

idk what’s happening to NUS

OMG

ITS SO HOT

Istg it’s like 40 degrees here everyday 😭

@wispy cave are u oki

[wispy cave]

just factorising now

[wanton tusk]

Yaya

[wispy cave]

10y+60y+95

=0

[wanton tusk]

yesh, the superior one

HAHAHAH

uhhhh

[wispy cave]

yuh

[wanton tusk]

doesn’t that give imaginary roots

[wispy cave]

yuh

[wanton tusk]

maybe u made a careless mistake somewhere

pic of ur working?

[wanton tusk]

wait did u manage to prove that it’s a tangent

[wispy cave]

No

i make mistake?

[wanton tusk]

wait

isn’t the eqn of the circle in the qn =10

[wispy cave]

ffs

kill me now

hahahahah

i will fix gimme min

[wanton tusk]

yayaya

it shd work

shd be (y+3)^2 when u factorise

[wispy cave]

y=-3

[wanton tusk]

Yaya

[wispy cave]

y=-3 or y=-3

[wanton tusk]

only y=-3

remember they said it’s a tangent

so it only touches at one point

[wanton tusk]

so ull only get one answer

[wispy cave]

2 awnsers

well

[wanton tusk]

it’s the same HAHA

[wispy cave]

1 awnser

[wanton tusk]

no need to write 2 times :))

[wispy cave]

but there is 2 of them

[wanton tusk]

it’s basically (y+3)^2

[wispy cave]

yuh

[wanton tusk]

so y= -3

[wispy cave]

yuh

[wanton tusk]

just write one time is good

[wispy cave]

k

[wanton tusk]

now try to prove

after u find ur x coord

[wispy cave]

how do that

oh

[wanton tusk]

ure actually suppose to prove first HAHA

[wispy cave]

x=1

tangent is at (-3,1)

[wanton tusk]

yesh

but first

u need to prove that it’s tangent

[wispy cave]

how

[wanton tusk]

u know u made x = 3y +10 right

[wispy cave]

yuh

i went back and proved it

[wanton tusk]

then you subbed into the circle eqn

[wispy cave]

yuh

[wanton tusk]

then after u do that

[wanton tusk]

ure left with 10y^2 +60y +90

when u get this

use the discriminant

b^2 -4ac

a = 10,, b= 60 and c = 90

what do u get

[wispy cave]

i am lost

[wanton tusk]

ouh what happened

[wispy cave]

we dont use these fancy words in my math classes

lol

[wanton tusk]

oh

[wispy cave]

wait

stop

i know

[wanton tusk]

basically if we want to see whether a line cuts a curve at 2 points, 1 point(tangent) or none at all

yayayay

[wispy cave]

i looked it up

what a discriminant is

[wanton tusk]

ya

b^2 -4ac

[wanton tusk]

we use it for this

[wispy cave]

do i rt it

route

[wanton tusk]

nope

[wispy cave]

k

0

i got 0

[wanton tusk]

yes

and do u know what it means if discriminant is = 0

[wispy cave]

so that means i proved it

[wanton tusk]

no u need to explain

[wanton tusk]

^^

[wispy cave]

it proves that (-3,1) is a tanget

if i am wrong i am so sorry

u lost too many brain cells cus of me

lol

[wanton tusk]

basically, since the discriminant is 0,, the line hence only touches the circle at one point and is hence a tangent to it

[wispy cave]

making it a tangent

[wanton tusk]

yes

[wispy cave]

so how would i fraise that

[wanton tusk]

so (1, -3) is the pt of intersection

[wispy cave]

oh

k

[wanton tusk]

like this

[wispy cave]

k

[wanton tusk]

shd be enough

instead of discriminant u can just say since b^2-4ac=0 to save time HAHA

[wispy cave]

the bad thing about this is this might be the last time u struggle teaching an idiot math but now im starting to pay a guy to do it

[wanton tusk]

woah

[wispy cave]

when i should be doing it for free

[wanton tusk]

ure paying a guy?

[wispy cave]

lol

grind

s

well my parents

i should just do this

[wanton tusk]

HAHA ohh u mean tuition?

[wispy cave]

tutou

r

[wanton tusk]

ya

I need to get one

[wispy cave]

we call them grinds

[wanton tusk]

ohh

interesting

[wispy cave]

yuh

the irish are weird

[wanton tusk]

aren’t we all

🤩

[wispy cave]

i learned the last day that toronto is pronounced

torrono

[wanton tusk]

huhhh?!

rlyy

[wispy cave]

like im just so good

yuh

[wanton tusk]

the last t is silent?

omg

why is English so

confusing

[wispy cave]

i learned this from a canadian that shared there cigarrette with me

[wanton tusk]

……

[wispy cave]

yup

[wanton tusk]

wait how old r u

[wispy cave]

17

[wanton tusk]

wait

[wispy cave]

i dont smoke often

[wanton tusk]

are u just starting to learn this?

and it’s legal to smoke at 17??

[wispy cave]

yuh

no

it is not

[wanton tusk]

HAHAH WHAT

[wispy cave]

we can drink at 18

[wanton tusk]

omg nooo don’t smoke

[wispy cave]

but i get into clubs at 17 and drink sometimes

i knoiw

i only do it when im super drunk

[wanton tusk]

ull get lung cancer,, bronchitis etc

won’t be good

[wispy cave]

like vary rairly

yuh i know

[wanton tusk]

also don’t drink

leads to liver cirrhosis

drink a little bit can

[half epoch]

But it is a well known fact that smoking and drinking makes you atleast 90% cooler

[wispy cave]

dont tell an irish teen not to drink

[wanton tusk]

not too much pls

[wispy cave]

i am lightweigh

[wanton tusk]

I will

and there’s nothing u can do abt it

hmph

[wanton tusk]

95%*

[wispy cave]

it is expensive as fuck todrink

[wanton tusk]

0%*

I have a better alternative

just drink pure alcohol

[wispy cave]

that would kill u

[wanton tusk]

same thing

is just that alcohol does it faster

[wanton tusk]

WHY

[half epoch]

Just let the man be, we are supposed to be helping the lad with math

[wanton tusk]

do u have that

[wanton tusk]

hmmm

[wispy cave]

my dad got it for me when he went on holidays

[wanton tusk]

finee u do u 🕊

[wanton tusk]

is this just common in Ireland

[wispy cave]

i drink it with like apple juice

not alwasys

[wanton tusk]

the fact that ur father bought it for u 🥲

[wispy cave]

but i told him what i drink on a night out and he saw it in a shop for cheap

and he got for me

i know that

u americans and canadians are lightweights

[wanton tusk]

im neither

but I think I’m a lighter weight

u need to be 21 here

[wispy cave]

on nights out i would drink vodka blacks and this with a fizzy apple drink called cidona

[wanton tusk]

oo

why not just drink pure water

[wispy cave]

i know but it is expensive

so u ned to make it last

[wanton tusk]

wait actually

wat is vodka

[wispy cave]

4 euro

for 1 vodka black

double vodka is 7

and the blackcurrant juice is free

[half epoch]

There are like a handful of places on earth where it's 21. What are the odds that we have one here that's not from the US the biggest one of the handful

[wispy cave]

fuck

the funny thing is i was born in america

and raised in ireland

[wanton tusk]

HAHAH

I was born in korea and raised in Singapore

[wanton tusk]

ohh

[wispy cave]

but both my parents are irish

[wanton tusk]

I think legal age for drinking is 18 tho

[wispy cave]

yuh

it is here

18

[wanton tusk]

yepp here too

[wispy cave]

where is singapore

[wanton tusk]

Asia

[half epoch]

Then why did you say you need to be 21? That's weird

[wanton tusk]

that’s for smoking

[half epoch]

Singapore is a city-state. It's not part of another country, it's a country made of a single city

[wanton tusk]

yaaa it’s so nice here

[wispy cave]

how u reply to a message that does not exist

hacks

[wanton tusk]

except the weather

and the price of living 😭

[wispy cave]

is it rain

[wanton tusk]

who is that?

[wispy cave]

cus i like the rain

[wanton tusk]

no it’s the sun

[wispy cave]

oh

oof

dont wanna go there then

[wanton tusk]

but recently it’s been raining more often

[wispy cave]

nvm

[wanton tusk]

so it’s been quite nice

[wispy cave]

will go

where would u reckomend to live in asia

if u have any knowledge on that

[wanton tusk]

huh

[wispy cave]

why mongolia

borat

[wanton tusk]

go to North Korea

[wispy cave]

https://tenor.com/view/kim-jongun-hi-hello-dictador-gif-12672400

[wanton tusk]

HAHAH

what

did I just read

[wispy cave]

what does that even mean

[wanton tusk]

I literally have no clue

I think he just said women suck

[half epoch]

Even less places on earth where smoking is age-gated at 21 btw 😄

[wanton tusk]

18/21

[wispy cave]

the uk are trying to put up the age limit every year for the next 15 years

so its 18 now

and next year 19

20

[wanton tusk]

driving at 18

[wispy cave]

etc

[wanton tusk]

not many students obey the rules though

[wispy cave]

nah i aint a heavy smoker i would just have 1 or 2 tokes and thats me done

it is very sickening

[wanton tusk]

I’ve seen students in uniform smoke in the open

of course

u said women are ooooof

what else wld I expect

🧐

oh

I still don’t take my words back

@wispy cave

[wispy cave]

yo

[wanton tusk]

close

[wispy cave]

how

[wispy cave]

how i do that

[wanton tusk]

these

.close

[wispy cave]

.close

[lone heart]

Channel closed

Closed by @wispy cave

Use .reopen if this was a mistake.

[wispy cave]

thx

[wanton tusk]

now do .reopen

[wispy cave]

for the help

.reopen

[lone heart]

✅

[wanton tusk]

now do .close

[wispy cave]

.close

[wanton tusk]

ok I’m sry HAHA

[lone heart]

Channel closed

Closed by @wispy cave

Use .reopen if this was a mistake.

[wispy cave]

.reopen

[lone heart]

✅

[wispy cave]

.close

[lone heart]

Channel closed

Closed by @wispy cave

Use .reopen if this was a mistake.

[wispy cave]

.reopen

[lone heart]

✅

[wispy cave]

.close

[lone heart]

Channel closed

Closed by @wispy cave

Use .reopen if this was a mistake.

[wanton tusk]

Heinrich? more like Hi rick

idk what that means

[wispy cave]

.reopen

[lone heart]

✅

[half epoch]

The bot is about to get mad at you

[wispy cave]

why

cus i beat system

L

[wanton tusk]

Heimlich

idk if I spelt that right

[wispy cave]

.close

[lone heart]

Channel closed

Closed by @wispy cave

Use .reopen if this was a mistake.

[wispy cave]

.close

[wanton tusk]

no what’s that

[wispy cave]

am i done now

did i do it right

?

[wanton tusk]

ya

ohh nazi

[wispy cave]

ok thank you

also hail hitler

[wanton tusk]

I remember I studied history for 2 years

[wispy cave]

jk

dont ban me

hahahahah

[wanton tusk]

and when I took my o levels

I didn’t study for it at all HAHAHA

[half epoch]

This evolved from random bullshit to straight nazi shit real quick

[wanton tusk]

it’s heinrich we’re talking to

[wispy cave]

i have to get up for school in 6 hours

[wanton tusk]

….

it’s September holidays here HAHA

1 week off school

[wispy cave]

yuh its my last year of school before college

163 days left till final exams

[wanton tusk]

not Labour Day

that’s 1 may

[wispy cave]

yuh the fucking ukranians take all the accomidation

[wanton tusk]

ATB!

[wispy cave]

we took so many of them in and they do nothing

[wanton tusk]

???? HAHAHA what

[wispy cave]

they get free money and housing and they treat people like shit

[wanton tusk]

but Singapore celebrates it on 1 May

and sg is not a communist country

????

I don’t understand those terms 😅

no it’s not HAHAH

unless..

ya not me

but we have governments

im a girl

[hidden fable]

it looks wrong, but this is actually completely correct.
it was chosen by the marxist international socialist congress

anyway this is completely out of context so bye

[wispy cave]

fishballs

[wanton tusk]

hihii

HAHAHA

[wispy cave]

hahah

i will help u

[wanton tusk]

I am@not knowledgeable in this area at all

[wispy cave]

yuh

i can do extreme algebra

send me a q will do for u

[wanton tusk]

jungkook is god

:))

[wispy cave]

he the guy from squid game

[wanton tusk]

????

HAHAHAH WHAT

[hidden fable]

since you’re so good at math, solve the riemann hypothesis

[wispy cave]

nvm

[hidden fable]

prove it

[wanton tusk]

bye bye

@wispy cave it’s ur time to shine

[wispy cave]

yuh

[wanton tusk]

comeback from rt -3

[wispy cave]

https://www.quantamagazine.org/mathematicians-clear-hurdle-in-quest-to-decode-prime-numbers-20220113/

[wanton tusk]

always a storm before a rainbow

rays a saying right

[wispy cave]

here is an artical written about me

[wanton tusk]

in this case,, the storm@was ur rt-3

[wispy cave]

and my solvings of this equation

[wanton tusk]

the rainbow will be u proving the Riemann hyp

[wispy cave]

no

[wanton tusk]

guys did u know

I proved that 1=0

[wispy cave]

that women dont have balls

oh wait nvm

[wanton tusk]

what

did@

[hidden fable]

the first paragraph talks about how little we know about it

[wispy cave]

10011001000101011010110100101

[wanton tusk]

oh no

not back to that topic

[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.

[last ether]

What does this have to do with math lol

And no, communism doesn't work, nor does capitalism

What we need to for YOU to give ME all your money

Trust me, it'll work

Just give me your life savings

All of it

Anyways @wanton tusk close the channel

[wanton tusk]

it’s not me tho

[last ether]

It's yours

[wanton tusk]

wha-

[last ether]

It says it's yours

.close it

[wanton tusk]

when did I book this channel

.close

[lone heart]

Channel closed

Closed by @wanton tusk

Use .reopen if this was a mistake.

[wanton tusk]

sryy!

[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.

[safe flume]

need help

[safe flume]

I feel like none of them are true

but there is no option like that

[tawny atlas]

can yall tell explain what the answer to this is

[rose sigil]

why do you think that?

[safe flume]

Oh nvm I solved it

thanks

[rose sigil]

happy to help

[hard patio]

You’ve got to take up your own help channel to ask the question

[lone heart]

@safe flume Has your question been resolved?

Channel closed

Closed by @safe flume

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.

[wanton tusk]

make the same denominator

so that u can express in a single fraction

[hidden fable]

$a+\frac{b}{c}=
a*\frac{c}{c}+\frac{b}{c}=
\frac{ac}{c}+\frac{b}{c}=
\frac{ac+b}{c}$

[ocean seal]

fedeCreeper

[hidden fable]

@alpine sable

[lone heart]

@alpine sable Has your question been resolved?

[wanton tusk]

I will never learn how to use that bot