help-26

[stiff stag]

i think its lack of practice

[sterile finch]

Practice definitely helps. And not being afraid to be wrong as well. Learning how not to approach a problem is worthwhile information.

[stiff stag]

hard problems

and messy problems

those help a lot

and error problems

but to be able to understand the topic is better and what it does

[sterile finch]

Never erase your mistakes. Make notes on why your approach was incorrect so that you can understand them when you look back on it later. If you don't understand your notes when you look back on them later, that means you need to make better notes.

[stiff stag]

true true

[topaz sinew]

@stiff stag Has your question been resolved?

Channel closed

Closed by @stiff stag

Use .reopen if this was a mistake.

[topaz sinew]

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.

[heavy musk]

short question, what is 3√2 × 2√2?

[round snow]

12

[heavy musk]

ye ik its 12

but

i mean

give me in other form

like 18√2 + 2√2 is 20√2

18^2 - 2√2 = 16√2

what about 3√2 × 2√2?

is it 6√2?

[round snow]

6(√2)^2 ig?

[heavy musk]

oh yea ur right

i see

its just like 6(2) since there is square

.close

[topaz sinew]

Channel closed

Closed by @heavy musk

Use .reopen if this was a mistake.

[topaz sinew]

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.

[heavy musk]

I need help with √6(3√6 - 5√6)

[round snow]

hey again

[heavy musk]

got it

3(√6)² - 5(√6)²

then 3(6) - 5(6)

lastly -12

I literally forgot the thing that someone answer from me before 💀💀

[heavy musk]

this one

kinda confuse because its just √6

ahhh I see

tyty

[topaz sinew]

@heavy musk Has your question been resolved?

Channel closed

Closed by @heavy musk

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.

[candid dove]

am also sending my working just a minute

so the probability that the second ball drawn is blue will be;

and the probability that the first ball will be blue GIVEN that the second is also blue will be:

and for some damn reason, that similifies to give probability as '1', which is incorrect. Why is it incorrect?

[woeful drift]

your numerator gives only the probability that the first ball is blue

[candid dove]

ya but we have to find out the probability that the first ball drawn is blue, given that the second is blue as well

[keen venture]

Which formula are your referencing for the second picture?

[candid dove]

so ur denominator is the probability of the second ball being blue regardless of whatever the first ball was

and ur numerator is the probability of only the first ball being blue

[woeful drift]

a sample space isn't a probability, this message is gibberish

[candid dove]

well I do know that i have to use baye's theorem

ig am not applying it correctly

tho i dont rlly tend to use those formulas, i find it much easier to use tree diagrams for these questions instead of set theory based calculations

[candid dove]

but u got my point anyways

[woeful drift]

no i didn't

[candid dove]

the denominator is the probability of the second ball drawn being blue, regardless of what the first ball was

and the numerator is the probability of the first ball being blue, regardless of what the second ball was

and i divided them

[woeful drift]

alright, so now you need to recall how conditional probability is defined

[candid dove]

idk where'd i go wrong :o

[woeful drift]

because your numerator is incorrect

[candid dove]

ohh

[keen venture]

If you were to now multiply by P(Second|First) you'd then be using Bayes'

So like your intuition is good, but you are missing this factor

[candid dove]

ohhh i seee

ah i got it

[candid dove]

altho i must say, that this is the reason why i still dont get i had to multiply p(second/first)

.close

[topaz sinew]

Channel closed

Closed by @candid dove

Use .reopen if this was a mistake.

[topaz sinew]

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 star]

necesito ayuda con esta tarea de matematicas

[topaz sinew]

@cunning star Has your question been resolved?

[topaz sinew]

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.

[jaunty dawn]

How does this thing look like in 3d?

R>r>0 are set

[topaz sinew]

@jaunty dawn Has your question been resolved?

[topaz sinew]

@jaunty dawn Has your question been resolved?

[topaz sinew]

@jaunty dawn Has your question been resolved?

[jaunty dawn]

Thank you! 🙂

[twin island]

pretty crazy surface

[jaunty dawn]

yeah, but pretty too 🙂

[twin island]

where did you find the equation?

[jaunty dawn]

Was on a homework of my calculus course. The tasks were rather formal but i wanted to know what this thing looked like 🙂

[topaz sinew]

@jaunty dawn Has your question been resolved?

Channel closed

Closed by @jaunty dawn

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.

[nocturne oracle]

why is there only 1 answer

[nocturne oracle]

is it possible to use the property ab = cd or bd = ac

[half edge]

wdym whys there only 1 answer?

u think there should be more than 1?

[nocturne oracle]

can you do this

[half edge]

what do u want me to do with that

its already solved

oh the arrows

hmm

no u cant

A is already connected to D

you cant break that connection and force it to C

like u cant change pre-existing sides is what im saying

the sides that already existed were AB and AD

cant change those

@nocturne oracle

[nocturne oracle]

what if the diagram before wasnt given

or will it always be given

[half edge]

if it wasnt given, then yes, you could get another solution

[half edge]

its not up to me to say this

ask ur teacher

also, the diagram looks kinda off

in terms of the labeling of the points

[nocturne oracle]

ok thx just wanted to make sure 2 answers is a possible outcome

.close

[topaz sinew]

Channel closed

Closed by @nocturne oracle

Use .reopen if this was a mistake.

[topaz sinew]

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.

[round forge]

Question: A study was conducted to determine how the concentration of cough medicine changes over time in the bloodstream. It was found that the concentration decreased by 15% each hour for a patient who received a 10𝑚𝑔 dose.
Determine a general equation to represent the amount of the drug remaining in their system, 𝐴, as a function of 𝑡, the number of hours since the dose was administered.
Am I using the exponential growth/decay formula to answer this?

[acoustic grove]

yes

[somber socket]

decay

decreases by

[round forge]

what is my A,Ao, r, t, and n?

I tried establishing it myself and I couldnt get it

[somber socket]

what is your initial amount

[round forge]

10

[somber socket]

so what is your Ao

[round forge]

oh wait sorry I got it mixed up

Ao is final

wait

[somber socket]

no

[round forge]

A is final and Ao is initial

so my Ao is 10mg

[somber socket]

Ao is "A naught"

[round forge]

and my A is unknown

[somber socket]

which means intitial

so u can write A as a function of t

so A(t)= Ao(r)^t

[round forge]

wait how about my n value

[somber socket]

like the rate

of decay?

[round forge]

yea

[somber socket]

so it says decreased by 15%

what 15% as a decimal

what is

[round forge]

0.15

[somber socket]

so lets say i have 1

[round forge]

yea

[somber socket]

i want 15 percent less

what is that

[round forge]

0.85

[somber socket]

ye

so r=.85

[round forge]

does the n not apply in this question?

[somber socket]

dont think so

[round forge]

I see

I think thats what messed me up

[somber socket]

like if say

said

[round forge]

I kept trying to figure out my n

[somber socket]

decreased by 15% each day

not each hour

and t is in hours

then u would need it but

[round forge]

I got 8.5 as my final answer

[somber socket]

huh

doesnt it say to write an equation

[round forge]

oh general eqaution

oops

[somber socket]

you cant disturbute the 10(.85)

because

.85 is rasied to t

like thats ur equation

u cant mutiply 10 x .85

because 10 isnt raised to t aswell

[round forge]

yea I ended up subbing 1 into t for some reason

part 2 of the question asks after how many hours will a person have 1mg of the drug remaining in their system, round to tenth of hour

could you do it and check answer with mine

[somber socket]

ok

[round forge]

ty good sir

or ma'am

[somber socket]

what did u get

[round forge]

still working

is it 8.5 hr?

cause you sub in 1 for A(t)

[somber socket]

uh

how did u get 8.5

so you got

1/10=.85^t

right

[round forge]

erm

no.

[somber socket]

what did u do first

[round forge]

oh I see my issue I think

I subbed in 1 for t

[somber socket]

oh

[round forge]

but I sub in 1 for a(t) as a whole

[somber socket]

ye

[round forge]

Am I allowed to just declare a(t) as 1?

Or how do I show my work correctly

[somber socket]

ye

you just a(t)=1

say

or i see what u did, it doesnt really matter

idk if i would directly state a(t)=1 but it doesnt really matter

[round forge]

I see

I have lost marks before for doing some extra stuff

I may just leave it out come assessments

thank you propus that is 2/2

[somber socket]

👍

[round forge]

.close

[topaz sinew]

Channel closed

Closed by @round forge

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.

[bronze atlas]

The first question of the page asks to simplify the expression

[bronze atlas]

There's an answer key,but that's probably incorrect

Here's what I've done so far

[topaz sinew]

@bronze atlas Has your question been resolved?

[topaz sinew]

@bronze atlas Has your question been resolved?

[topaz sinew]

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.

[violet smelt]

So for this question i think the right answer but ive seen people answer this question they get 5.77 and i get 4.57 so i'd like to know what im doing wrong

[versed cairn]

the thing is

R is not equal to 70 degrees

[sterile tangle]

Use opposite interior angles theorem to figure out the degree of angle R

[violet smelt]

why not?

[sterile tangle]

70 degrees is the degree of angle PRS

the angle we want is PRQ

[violet smelt]

oh so thats why that line is there

[sterile tangle]

mhm

[violet smelt]

Ok, dumb question if for interior triangle we only have 1 angle how can we get the rest

do i build another triangle with that 70?

[sterile tangle]

not really

since lines PQ and RS are paralell

[violet smelt]

or would it be half of 70?

[sterile tangle]

nope

given PQ and RS are parallel since they run north south,

we know that the angle PQR = angle QRS

using alternate interior angles

and we know that PQR = 25, so QRS equals 25

[violet smelt]

ok im not great this yet give me a sec to process

So this basically

but 70 is still not the angel of either

[sterile tangle]

uh

not really

gimme a sec

the smaller angle is 25

larger one is 70

it’s not very accurate to scale but it gets the image across

[violet smelt]

so would it be 70-25?

because 70 is the angle across?

so 45?

[sterile tangle]

mhm

[violet smelt]

thanks!

youre a live saver

.close

[topaz sinew]

Channel closed

Closed by @violet smelt

Use .reopen if this was a mistake.

[topaz sinew]

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 wharf]

Help me with this one

[fallow wharf]

How the power changed ???

<@&286206848099549185>

[woeful drift]

!15m

[topaz sinew]

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

[fallow wharf]

Sorry but this was eating my mind

[pearl fog]

$$\frac{1}{\sqrt{27}}^{2-\frac{\log_{5}{13}}{2 \log_{5}{9}}}$$
$$\frac{1}{\sqrt{27}}^2 \cdot \frac{1}{\sqrt{27}}^{-\frac{\log_{5}{13}}{2 \log_{5}{9}}}$$
$$\frac{1}{\sqrt{27}}^2 \cdot \sqrt{27}^{\frac{\log_{5}{13}}{2 \log_{5}{9}}}$$
$$\frac{1}{\sqrt{27}}^2 \cdot \sqrt{27}^{\frac{1}{2} \cdot \frac{\log_{5}{13}}{ \log_{5}{9}}}$$
using the property $\frac{\log_{c}{b}}{\log_{c}{a}}=\log_{a}{b}$
$$\frac{1}{\sqrt{27}}^2 \cdot \sqrt{27}^{\frac{1}{2} \cdot \log_{9}{13}$$
$$\frac{1}{27} \cdot \sqrt{27}^{\frac{1}{2} \cdot \log_{9}{13}$$

[fallow wharf]

I got it

Hmmmmm

[thorny flame]

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

[pearl fog]

does this make sense?

[fallow wharf]

Of course

But

What if I take -1 common in the power

[pearl fog]

🍑

[fallow wharf]

Does it make any difference

[pearl fog]

wdym?

[fallow wharf]

Like taking -1 common from the power of 1/√27

The sign of both will change and 1/√27 will become √27

[pearl fog]

$$\frac{1}{\sqrt{27}}^{2-\frac{\log_{5}{13}}{2 \log_{5}{9}}}$$
$$\frac{1}{\sqrt{27}}^{-(\frac{\log_{5}{13}}{2 \log_{5}{9}}-2)}$$

like this??

[thorny flame]

Skill_Issue

[fallow wharf]

YeH

Yeah

[pearl fog]

wont make a diffrence, it would still lead to the same result

[fallow wharf]

Ok

Thanks

.close

[topaz sinew]

Channel closed

Closed by @fallow wharf

Use .reopen if this was a mistake.

[fallow wharf]

. reopen

.reopen

[topaz sinew]

✅

[ripe spoke]

?

[fallow wharf]

Why we raised the power

.reopen

[meager dawn]

the channel is already reopened

[fallow wharf]

Hmmm

Can you tell me the answer

[meager dawn]

no i am not doing math rn it’s 2 am here lol

i’m just on my phone before bed

[fallow wharf]

Huh

[ripe spoke]

I'm trying to figure out why it's 3/8 and not 3/4

Also witching hours here
So I'll be slow, but I'm working on it

[fallow wharf]

Good

[ripe spoke]

Don't let the bed bugs bite

[ripe spoke]

Low key kinda rude

[fallow wharf]

Guys?

What about the question

[ripe spoke]

Like I said

I'm working on it

[fallow wharf]

Hmm

printed wrong?

[ripe spoke]

Partially

The 3/8 is right

They just left out a 1/2 in the previous ones

Gimme a sec, I'll rewrite it for you

Normally I'd use latex, but I'm not going to do that on my phone, so you'll have to deal with handwriting

[fallow wharf]

Yeah

Ok

?

[ripe spoke]

If someone else could check my work, that'd be appreciated

Fairly sure it's right, but like I said, it's the witching hour for me

[fallow wharf]

Hmmm

Can you check my process

Ooo

I got it

I was making a mistake

Thanks @ripe spoke

.close

[topaz sinew]

Channel closed

Closed by @fallow wharf

Use .reopen if this was a mistake.

[topaz sinew]

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.

[rotund leaf]

Hi

[rotund leaf]

can anyone help me solve this problem?

it gives me the answer

but i dont know why or how we solve it

or even get the equation

its algebra 2

<@&286206848099549185>

.close

[topaz sinew]

Channel closed

Closed by @rotund leaf

Use .reopen if this was a mistake.

[topaz sinew]

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.

[sudden dagger]

How do I find the vector that is perpendicular to (2, 1, 2)?

[fallow igloo]

There are a lot

[sudden dagger]

I've tried a dot product with an unknown vector, and setting it to 0

but I get 2a_1 + a_2 + 2a_3 = 0

3 unknowns

[hybrid fractal]

that gives you an equation for all possible answers to this question

[sudden dagger]

How does one find the a_i 's that makes this equal to 0?

With complex numbers, I remember that multiplying by i gives a perpendicular complex number

But this is a 3 dimensional vector

[loud oasis]

you can set any 2 of them to be any number you choose, then solve for the third

[sudden dagger]

Oh

So a_2 and a_3 = 1

a_1 = -5/2

[hybrid fractal]

yeah that works

[sudden dagger]

cool, thanks guys

[worldly kettle]

is there a trick to divied any numbers very fast

[sudden dagger]

synthetic division?

.close

[topaz sinew]

Channel closed

Closed by @sudden dagger

Use .reopen if this was a mistake.

[worldly kettle]

no just division

[sudden dagger]

what I do is find the factors of the numerator and denominator

then cancel

for example: 20/4 = 5*4/4 = 5

the 4's cancel

[worldly kettle]

can you give another example with 63 divied by 9

[sudden dagger]

63 = 9 * 7

9*7/9 = 7

you should be familiar with the multiples of numbers 1 to 9

[worldly kettle]

yes

my math level is 7th

[sudden dagger]

7th grade?

[worldly kettle]

yes because i am 12

and now in june i will be going to 8th

[topaz sinew]

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.

[wooden osprey]

It takes 4 hours 30 minutes in total for a boat to travel in water direction and against water direction on a 40km long river. Given the time traveling in water direction for 5km is equal to the time traveling against water direction for 4km. Calculate the river's flow velocity

[wooden osprey]

not sure how to approach this, i let x = boat time to travel in water direction and y = boat time to travel against water direction

so i got x + y = 4.5

but not sure for the rest

actually, the wording might be pretty poor

ill do the research myself

.close

[topaz sinew]

Channel closed

Closed by @wooden osprey

Use .reopen if this was a mistake.

[topaz sinew]

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.

[terse juniper]

what graph do i use for this

[terse juniper]

<@&286206848099549185>

[spring nacelle]

probably a stratified histogram

[cursive patrol]

wouldn't that result in having too many things to stratify?

[spring nacelle]

yea i cant think of any other options though

other than to just homogenize the years

[cursive patrol]

hm

if not combining the years, i might consider a grouped bar chart

[topaz sinew]

@terse juniper Has your question been resolved?

[topaz sinew]

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.

[full kiln]

This is wrong?

Its + not -

[earnest pine]

Nah, it’s correct

Why do you think it’s wrong?

[full kiln]

For the fraction a/b it would be -

[earnest pine]

Yeah, it is

There is a u sub to solve the second term

So a negative goes out the front

[earnest pine]

I guess u don’t necessarily have to do that, I think most people do it in their head, but that’s the theory anyways

[full kiln]

What do you u sub

[earnest pine]

(1-y)

[full kiln]

Can you show me how to do it i cant get it

[earnest pine]

d/dx (1-y) = -1

Then you just have the integral of -1/u

= -ln(u)

= ln(1/u)

=ln(1/(1-y))

Then do the first term

And add it to this one^^

[full kiln]

Got it

[topaz sinew]

@full kiln Has your question been resolved?

Channel closed

Closed by @full 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.

[balmy quartz]

when they ask me for the time complexity here

I get that the best case 1 and worst case is n

but how do I figure out which notations to use

[topaz sinew]

@balmy quartz Has your question been resolved?

[acoustic tangle]

Afaik you just say it's O(whatever you get in the worst case)

[balmy quartz]

yeah but O() means upper bound not worst case

[acoustic tangle]

I don't see how whose two contradict each other

Are you saying 1 > n can happen?

best case <= worst case

Worst case is always the upper bound and vice versa

[balmy quartz]

an upper bound can be worst case best case or average case from what I understand they arent related

[acoustic tangle]

I didn't say upper bound is unique

[topaz sinew]

@balmy quartz Has your question been resolved?

[topaz sinew]

@balmy quartz Has your question been resolved?

[balmy quartz]

.close

[topaz sinew]

Channel closed

Closed by @balmy quartz

Use .reopen if this was a mistake.

[topaz sinew]

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.

[quaint kestrel]

Hello!

I am new here. I have a question regarding conic sections--> parabola.

Find the locus of the middle points of chords of a parabola y^2=4ax which subtend right angle at the vertex.

(Let middle points be ( h,k). I solved T=S1)

T here is the trick we apply by replacing x^2 as xx1 and y as (y+y1)/2. It basically a transformed equation of the given parabola (lets say A). S1 is the same as A but x is x1 and y is y1.

Thank you

[quaint kestrel]

Please tag me while typing

[coarse tusk]

what's the question?

what are you having trouble with

[quaint kestrel]

I was solving the above question. Got stuck after one step. I will send till where I could solve.

[quaint kestrel]

Find the locus of the middle points of chords of a parabola y^2=4ax which subtend right angle at the vertex.

(Using T=S1. Terms explained above)

[topaz sinew]

@quaint kestrel Has your question been resolved?

[topaz sinew]

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.

[peak thorn]

Are these right?

[topaz sinew]

@peak thorn Has your question been resolved?

[peak thorn]

<@&286206848099549185>

[hidden magnet]

Yeah, these are

[peak thorn]

.close

[topaz sinew]

Channel closed

Closed by @peak thorn

Use .reopen if this was a mistake.

[topaz sinew]

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 portal]

Perform the calculations -16(decimal 10)+ -9(decimal 10) by converting the numbers to 6-bit two’s complement binary numbers before adding them. Indicate whether the sum overflows 1 6-bit result. While the result I get after the addition is 1100111 which is 7 bits, I'm not sure if this counts as overflow, because you can still write it using 6 bits as 100111. So I'm confused on whether or not that's overflow.

[topaz sinew]

@vale portal Has your question been resolved?

[normal tapir]

uh

you should check your addition again

or your binary representation of 16 and 9

as another way to think about it

if i have 6 bits, with 1 sign bit, then i have 5 bits to use for my integers

what's the largest number i can form with 5 bits?

[topaz sinew]

@vale portal Has your question been resolved?

[vale portal]

31 right? so the range would be -32 to 31 using 6 bits? i’ve checked my addition and don’t see anything wrong, for -16 and -9 I got 110000 and 110111 respectively

[normal tapir]

oh sorry

I somehow read positives instead of negatives lmfao

uh

yes the addition is fine

yeah so you get 1100111

when you add two negatives using twos complement that you wouldn't expect to overflow, such as -16 + -9 = -25 > -32, you will have two set sign bits being added

now if the result was to overflow, I hope you've seen that you'll end up with a number that is positive, because the sign bits of the result is 0 instead of 1

and if it doesn't overflow the resulting sign but is still a 1

so when you take 1100111 and drop the most significant bit, you end up with 100111 which you can verify is -25

[normal tapir]

I hope that was an intuitive enough explanation as to what happens when two negatives overflow, you just end up with a 10 as the two leading bits, then the 1 gets dropped

[vale portal]

okay so if it was to overflow, you would have two as the leading bits, when you remove one you’d be left with zero, making the result positive and getting a result that isn’t -25, but in this case the resulting sign bit is a one, and if you drop the most significant bit it’s still a one and would still turn out to be -25, so it’s not overflow?

[normal tapir]

yep

Just to clarify "dropping msb" meaning you have a 6bit register and obviously 7 bits doesn't fit

[topaz sinew]

@vale portal Has your question been resolved?

[vale portal]

yeah so you just remove it if it doesn’t fit right

[normal tapir]

yep

[vale portal]

thank you!

.close

[topaz sinew]

Channel closed

Closed by @vale portal

Use .reopen if this was a mistake.

[topaz sinew]

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 nexus]

What are the steps to solve this

@woeful drift are you able to help me out

[topaz sinew]

Please do not ping individual helpers unprompted.

[woeful drift]

!noping

[topaz sinew]

Please do not ping individual helpers unprompted.

[strange nexus]

oh my bad

[woeful drift]

Goshdarn swr what a standup lad

[strange nexus]

sorry about that

[topaz sinew]

@strange nexus Has your question been resolved?

[strange nexus]

no

[topaz sinew]

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.

[pure rampart]

we were studying polynomials in class today
and sir gave us a problem that is (4x/y)*y a polynomial
and sir said yes and no both
it is a polynomials if y is not equal to 0 and it is not a polynomial is y is equal to 0
but my question is that if y = 0 won't the whole equation become 0
and 0 is an integer thus a polynomial

[loud oasis]

dividing by 0 is not defined so the entire expression would not be defined

[pure rampart]

let you substitute y only outside of bracket then wont it be (4x/y)*0

multiplying anything in this world by 0 is 0

[loud oasis]

anything except 0

0/0 is undefined

[wary tulip]

@noble laurel

[pure rampart]

oh you think it that way thanks

thanks

[noble laurel]

🫡

[topaz sinew]

@pure rampart Has your question been resolved?

[topaz sinew]

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.

[autumn plaza]

why is it negative?

[grave wolf]

since the heat energy is on the products side the reaction is exothermic

so the enthalpy will be negative

(giving off heat)

[autumn plaza]

wait

how would i claculate the value

[grave wolf]

yes?

ht?

[autumn plaza]

of enthalpy change

[grave wolf]

ohhhh

[autumn plaza]

sry i meant the

[grave wolf]

use the q (the heat involved in reaction, make sure its in kJ and not J)

and divide it by the moles of products

[autumn plaza]

why?

[grave wolf]

because enthalpy is q/mol?

[autumn plaza]

wait sry what is q?

[grave wolf]

it's just the heat

[autumn plaza]

ohhh ok thank u!

[grave wolf]

so in ur case 86 kJ

[autumn plaza]

ok thx

[grave wolf]

and divide by the moles of wtvr

[autumn plaza]

my exam is in 40 minutes

[grave wolf]

ofc ofc

[autumn plaza]

😭

[grave wolf]

GOOD LUCK 🙏

my exam is next tuesday i understand 😭

[autumn plaza]

im so finished

are u aus?

[grave wolf]

no u could clutch up

have faith in urself

[grave wolf]

nooo american

[autumn plaza]

wtf isnt it late for u

,time

[thorny flame]

The current time for nutgun. is 12:15 PM (AWST) on Fri, 24/05/2024.

[autumn plaza]

breh need tot ake an uber to school now

PLS PRAY FOR ME

[grave wolf]

YOU WILL BE FINE

ofc i will pray for you

[autumn plaza]

wait how will i draw the second one..

[grave wolf]

yes, 12 am 😭

[grave wolf]

just draw the molecules w their bonds bro

[autumn plaza]

ERMMMMMMMMMM

can u pls.........

[grave wolf]

think abt what the formula is

i think its like c7h14

[autumn plaza]

is benzene c6h6

[grave wolf]

were u supposed to memorize these

[autumn plaza]

no

im supposded to draw thgem

[grave wolf]

yes

[autumn plaza]

OMG.

WHAT IS THIS.

[grave wolf]

bro😭

[topaz sinew]

@autumn plaza Has your question been resolved?

[autumn plaza]

BRO IM IN THE UBER RN

helo me why does he have the 2 fromt windows open my hair is ruined

moment before disaster

[grave wolf]

this looks so australia

[grave wolf]

you will be okay my friend just breathe

[topaz sinew]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[topaz sinew]

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.

[nocturne oracle]

im kinda confused on why some dot products are (a, b) . (c, d) = ac + bd and some say (a, b) . (c, d) = ac + ad + bc + bd

[nocturne oracle]

different for cartesian and position vectors?

[unreal bronze]

• (a, b) · (c, d) = ac + bd
• (a + b) · (c + d) = a · c + a · d + b · c + a · d

the first is the definition of a dot product and a, b, c, d are numbers

the second is an identity that follows from the first and a, b, c, d, are vectors.

[unreal bronze]

here a and b are vectors (note the arrows over them)

and they are added

it is not (3a, 4b) · (5a, 6b)

[nocturne oracle]

oh i see i misread that now

thank you

.close

[topaz sinew]

Channel closed

Closed by @nocturne oracle

Use .reopen if this was a mistake.

[topaz sinew]

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.

[slender sonnet]

a pool get filled up with 2 pipes. Using the first pipe only the pool get filled up in 6 hours less time then using the second pipe only. They started filling up the empty pool with both pipes. But after 5 hours they stopped the first pipe. Because of this filling up the pool took 3 hours more. How many hours dose it take to fill up the pool fully with both pipes

[topaz sinew]

@slender sonnet Has your question been resolved?

[topaz sinew]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[topaz sinew]

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.

[lyric grove]

We can replace only 2 digits of the number right?

[topaz sinew]

@lyric grove Has your question been resolved?

[lyric grove]

<@&286206848099549185>

[long stirrup]

we can replace more than two digits

but they have to be in the same places yes

so like the number is *008*2*1 and we make all stars the same digit

[lyric grove]

ohh

okay

so they are asking for a number, which yields 8 primes when its digits are replaced?

@long stirrup

[long stirrup]

no

the first prime of those

[lyric grove]

yes sorry

the smallest of them

[long stirrup]

sure

[lyric grove]

hmmm

thankyouu

^^

[topaz sinew]

@lyric grove Has your question been resolved?

Channel closed

Closed by @lyric grove

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.

[prime turtle]

How do I do this??

[long stirrup]

interesting

oh okay

you first find the probability that the numbers are all different

and then you can divide by 6

[prime turtle]

Why divide by 6??

[fallow igloo]

Do you have any idea in advance?

[prime turtle]

I thought I would need to find how many ways I can draw 3 tickets where the first is higher than the second which is higher than the third and divide this by how many total ways to draw 3

So total ways to draw 3 is 10^3

[fallow igloo]

hmm

How about we just pick 3 tickets out of the bag simultaneously?

Because there is only one result that fits the requirement

For instance, when you pick out 1 2 and 3

Only 123 fits the requirement and 321 231 132 312 213 don’t

[long stirrup]

that also works

there's 10c3 ways to pick

[prime turtle]

But it says he replaces the tickets in the bag

[long stirrup]

,calc (9/10)(8/10) / 6
10(9)(8) / 6 / 10^3

[thorny flame]

Results:

0.12
0.12

[long stirrup]

10c3 ways to pick correctly, 10^3 ways to pick at all

[prime turtle]

Ohh ok makes sense

Ty

.close

[topaz sinew]

Channel closed

Closed by @prime turtle

Use .reopen if this was a mistake.

[prime turtle]

.reopen

[topaz sinew]

✅

[prime turtle]

Wait I’m confused he replaces the ticket so how come it’s 10c3 ways to pick correctly?

[dense crescent]

because he cant pick the same ticket twice, we eliminate the possibility

[long stirrup]

10c3 chooses 3 numbers that are different

[prime turtle]

But he could pick 3 of the exact same numbers for example?

[long stirrup]

that's the number of ways to pick 3 numbers that go a > b > c

[prime turtle]

Ok I get it thanks

.close

[topaz sinew]

Channel closed

Closed by @prime turtle

Use .reopen if this was a mistake.

[topaz sinew]

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.

[south pasture]

hi! so i am doing this calculus 1 course and we are currently reviewing some parts of functions. I got this question:

f(x)=e(sqr(5+x)) and i found its domain correct. (it's [-5, \inf)) anyways now i am required to find the inverse of the function and i did

ln(x) = \sqr(5+y)

-> ((ln(x))^2 -5 = y

but apparently this form is not accepted.

[south pasture]

is my answer correct, and if yes; how should i type this in?

<@&286206848099549185>

[tough peak]

yes

How can i help you.

[tough peak]

How can i help you.

[south pasture]

my question is literally written there

[tough peak]

ok

[tough peak]

f −1 (x)=(ln(x)) 2−51Start with the function 𝑓(𝑥)=𝑒5+𝑥f(x)=e 5+x2Replace f(x) with y : 𝑦=𝑒5+𝑥y=e 5+x​3Take the natural logarithm of both sides: ln⁡(𝑦)=5+𝑥ln(y)= 5+x4Square both sides: (ln⁡(𝑦))2=5+𝑥(ln(y)) 2=5+x5Solve for x : 𝑥=(ln(𝑦))2−5x=(ln(y)) 2−56Replace y with x to find the inverse function:𝑓−1(𝑥)=(ln⁡(𝑥))2−5f −1 (x)=(ln(x)) 2−5

[tough peak]

So nope

[abstract cobalt]

what do you mean by this form is not accepted?

[south pasture]

https://help.grasple.com/en/articles/88250-how-do-i-avoid-math-syntax-errors

this is an edx course

they use a third party thing to decide whether answers are right or not

[tough peak]

because it is { 1,2} u { 3,4}

[south pasture]

it asks for the inverse function though

inverse function of

$$f(x)=e^(\sqrt(5+y))$$

whatever it is

[thorny flame]

ghiolimer

[abstract cobalt]

did you try to x = ln(y)^2-5 ?

[south pasture]

consider that √(5+y) being exponiental of e

ln(y) = √(5+x) i guess

hold on let me share the full question

hold on a sec

[tough peak]

@abstract cobalt thx for helping her.

[south pasture]

the first part is green

where function is shared

now we should find the inverse function

[vernal shard]

What did you input as your final answer

[abstract cobalt]

the inverse is ln(x)^2 - 5

my face?

[south pasture]

ln(x) squared - 5

i tried 2 ln(x) -5 as well

doesnt accept both

[vernal shard]

I mean send a photo of how you typed it in

[south pasture]

hold on i did 2*ln(x)-5 again and it said incorrect

lemme send the explanation to you

leave this channel pls

this channel is busy with math not ur weird actions

[abstract cobalt]

lol

[south pasture]

Note: this is not an exam.

This is not timed, these are just examples

leave

[vernal shard]

( \ln(x)^2 \neq \ln(x^2) )

[thorny flame]

shsgd

[vernal shard]

So you can’t move the 2 to the front

[south pasture]

no i did 2* ln(x)

not ln(x)^2 = ln(x^2)

as i know from logarithms you can move the exponiental in front of the logarithm

[vernal shard]

That’s only true if the exponent is tied to the term inside the log

Not to the log itself

[south pasture]

oh wait how

like can you give an example?

[vernal shard]

Consider ln(2^2) and ln(2)^2

2ln(2) = 1.3 something, ln(2)^2 = 0.4 something

[south pasture]

okay got it

thanks

so now what should i do

if that is not the answer itself

[vernal shard]

The inverse is ln(x)^2 -5

[south pasture]

let me try again i refreshed the page

that was my initial answer btw

yep got it

its correct

now it worked

[vernal shard]

Probably a syntax error the first time

[south pasture]

i think i used multiple paranthesis that was the problem

i did (ln(x)^2)

anyways

thanks for the help y'all

appreciate it

[vernal shard]

👍

[south pasture]

.close

[topaz sinew]

Channel closed

Closed by @south pasture

Use .reopen if this was a mistake.

[topaz sinew]

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.

[terse bronze]

im on part d

they ask when it is increasing fastest

wait nvm

.close

[topaz sinew]

Channel closed

Closed by @terse bronze

Use .reopen if this was a mistake.

[deep forum]

rip

[topaz sinew]

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.

[candid jackal]

how should i proceed with it

what auxiliary function shall i suppose

i get the initial inequality by diving the given equation by f'(x) . it becomes (f(x)+f''(x))/f'(x)<0

[topaz sinew]

@candid jackal Has your question been resolved?

[neon iron]

Single or multiple choice .

?

@candid jackal

[topaz sinew]

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.

[candid jackal]

it was multiple

[candid jackal]

i ve got it

correct

but what's your approach

if it is any simpler

[neon iron]

I just got option A

[candid jackal]

are u from india?

[neon iron]

Don't know how to solve the rest

[candid jackal]

.close

[topaz sinew]

Channel closed

Closed by @candid jackal

Use .reopen if this was a mistake.

[topaz sinew]

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.

[quick pike]

cam someone give me the solution of this math

(2^-2/x)^-1 =?

[quick pike]

please

[teal gust]

start with the outside

you have (something)^-1

what does that give you

[topaz sinew]

@quick pike Has your question been resolved?

[topaz sinew]

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.

[quick pike]

Fraction 1/x

[teal gust]

uh

so here

it woul dbe

?

(x/2^-2) right>

[topaz sinew]

@quick pike Has your question been resolved?

[topaz sinew]

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.

[inland vortex]

Hello. My question is, can I have an example algebra problem? I don't know how to get one.

[inland vortex]

Uhm... any?

[astral blaze]

what kind of algebra? Like abstract algebra or like elementary algebra?

[inland vortex]

Oh, abstract!

[astral blaze]

almost give you high school algebra problem lol

if it that kind of algebra, maybe discuss that in #book-recommendations or #advanced-algebra maybe?

[inland vortex]

What do I ask?

[astral blaze]

like, what you have asked here. I think people are more active there for advanced-level stuff. Most of the problems are easily accessible from the books.

[inland vortex]

Got it!

[topaz sinew]

@inland vortex Has your question been resolved?

Channel closed

Closed by @inland vortex

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.

[vernal shard]

yes

the exponent you mean?

yeah

that is a 7 right?

all good then

[topaz sinew]

Channel closed

Closed by @inner zephyr

Use .reopen if this was a mistake.

[topaz sinew]

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.

[cold moon]

hi! I have a probability question

[static viper]

!da2a

[topaz sinew]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[cold moon]

so I have some trouble distinguishing whether to use product rule, permutation, combination..etc

Permutation is where order matters, comb is where order does not matter

how do you know when to use product rule, I know its when the objects are distinct?

yea but in all these 3 cases, the objects are distinct? Actually, when should I use product rule?

[static viper]

Think about the product rule like this:
Say you have 10 friends and you want to choose any 3 of them and make them stand in a row. In how many ways would be able to do that

10C3 for the number of ways you could select them

and
3P3 for the number of ways the could stand in a row

And if you multiply 10C3 and 3P3 you would get the total number of ways of doing this

Does that make sense?

[cold moon]

so its for questions where they dont specify whether order matters?

wait, 10C3?

whats C?

[static viper]

Combination

Combination is a way of selecting a number of things from a group of things, where the order of choosing does not matter

[cold moon]

ohh i see i see

ok

so its applying product rule twice

I mean

no

like twice whther its permutations or combinations?

[static viper]

Could you rephrase?

[cold moon]

so in this example, 10 times 3 for the number of ways to select the friends
and then for the 3 friends, its 3!

so 30 times 3!=180

but why cant you just do smth like this:

[static viper]

No not 10 times 3

10! / (10-3)! * 3!

[static viper]

It is the same thing

[cold moon]

Im getting confused because Im using permutation formula for the whole thing..as in using only this formula to solve the problem, but I think you are not supposed to? so you would apply combination formula, then permutation formula?

[static viper]

In this question

How would you approach it now?

[cold moon]

Im still not understanding what you did for the first question, do you mean 10! / (10-3)! * 3! for the number of ways to select the friends, then you multiply that by 3! for the different ordering?

[static viper]

10!/ [ (10 - 3)! * 3!] for the combination
3! for the permuation
Net is 10!/(10-3)! -> Which as you stated is the same as 10P3

[cold moon]

ohhh I see yea okok

Answer is wrong tho

[static viper]

Each type of cereal is a distinct item

We have 10 cereals 5 oatmeals and 4 pancake mix

When we are selecting

If we say 19C3

In one of those cases

We could be selecting 3 pancake mixes and no oatmeal and cereal

In the question its stated we want one of each

Do you have a solution for that?

[cold moon]

so product rule is used when you dont want to have a combination with an object from the same group(in our case, the group is oatmeal, pancake,..etc)

[static viper]

What does this mean?

[cold moon]

I was trying to do smth like this

[static viper]

Basically but there arent only 10 "choices" for the first object

We want to choose 3 cereal out of 10

Let me make the question a bit easier

You have 3 unique shelves. You have 10 boxes of cereal, how many ways could you arrange it

[cold moon]

10 choose 3 (so combinations) and then 3! for the different ordering of the cereal

[static viper]

Mhm

How about 3 shelves and 5 boxes of oatmeal

[cold moon]

3 times 5 ways to choose the cereal

[static viper]

3 times 5?

[cold moon]

I'll list them out😅

[static viper]

This was correct

[static viper]

Answer this that way

[cold moon]

oh

i thought you meant it was wrong

okok

[static viper]

Ah my bad

[static viper]

Yup!

So so now if we had 3 shelves

5 boxes of oatmeal and 10 boxes of cereal

And we have to put 1 of each per self

[static viper]

We would multiply this result and

[static viper]

This result

Does that make sense?

[cold moon]

ahh i see

yea

not including the permutation part right?

[static viper]

We included the permutation part remember

We arranged it already

[cold moon]

ok

[static viper]

This is the selection part yes

We multiply this with the permutation

3!

Wait sorry

No actually yea

[static viper]

this

[cold moon]

doesent seem right

[static viper]

Sorry yea my bad

Remove the 3!'s

We need to multiply 3! for each self

We arent arranging the boxes of cereal individually if that make sense

We are arranging each self

Still wouldnt the result be the same

Let me solve it once 1 sec

It seems correct

Do you have the answer?

@cold moon

[cold moon]

yea

1200 ways

[static viper]

Ahh

My bad

The question is saying

3 shelves where we arrange each of them

Its not 10C3

We only need to choose one of each

[cold moon]

I get it now, yea you multiply 4x5x9 if you want shelves to have one of each

like you cant have OOP for example

[static viper]

4 * 5 * 10

[cold moon]

yea

oh

yea

[static viper]

And then we can arrange them in 3! ways

[cold moon]

and then 3! is just permutation, n=3, k=3 but 0! = 1 so this formula just gives 3!

[static viper]

Yup

[cold moon]

ye

[static viper]

4 * 5 * 10 * 3! = 1200

[cold moon]

ye

lol okie

[static viper]

I thought the question said there were 3 shelves with 3 items each

[cold moon]

ahh

thank you tho

[static viper]

Np

[cold moon]

ok

.close

[topaz sinew]

Channel closed

Closed by @cold moon

Use .reopen if this was a mistake.

[topaz sinew]

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.

[spice meteor]

So I had a question on a sequences and series test that was about finding number of plants planted among 2 years intervals. Every two years, the plants planted increased by 3%. In 2010, 500 were planted. We were told to find the trees planted in all 2 years intervals from 2010-2020. The hint was that the 500 was 2010-2012. How many terms was I supposed to find?

[static viper]

There would be 5 terms
2010-2012
2012-2014
14-16
16-18
18-20

[spice meteor]

so i find t1 (500) to t5? because we must model with a geometric sequence

[static viper]

Summation of t1 through t5 yes

[spice meteor]

.close

[topaz sinew]

Channel closed

Closed by @spice meteor

Use .reopen if this was a mistake.

[topaz sinew]

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.

[mint raft]

I made up a "sequence", but each term in the sequence actually has multiple numbers. Is there a name of this type of thing?

[keen venture]

Still a sequence, just not using members of R

Worth seeing the Lp spaces, where each member of the sequence is itself a sequence

[mint raft]

I used the word "entry" to describe a term of the sequence, do you think that is fine? The only downside I can think of is that it may be confused by an individual number.

[topaz sinew]

@mint raft Has your question been resolved?

Channel closed

Closed by @mint raft

Use .reopen if this was a mistake.

[topaz sinew]

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.

[sullen river]

!help

[topaz sinew]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[sullen river]

when you solve systems of equations word problems

can you do any method

like subsitution elimination

my two equations are 16x + 3y = 127