help-33

[merry crane]

okay

[vernal mantle]

Oh nvm

I think they want a specific answer

What function is equal to 1/cos theta

[merry crane]

sec

[vernal mantle]

Yep so

cot theta + sec theta will be the third expression ig

[merry crane]

it asks for a expression equivalent to the first

[vernal mantle]

Yep

First is equivalent to the second

[merry crane]

oh okay

thanks

.close

[marsh citrus]

Channel closed

Closed by @merry crane

Use .reopen if this was a mistake.

[marsh citrus]

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.

[loud kernel]

forgive me if im wrong and my brain is just not working

but for F

as F is 6 minutes

and its increased by 33%

sorry, 33.33% (because this textbook is stupid)

its just 6 x 1.3333, which is 7.9998

but the answers say that F increases by 2 min 28 sec

.close

[marsh citrus]

Channel closed

Closed by @loud kernel

Use .reopen if this was a mistake.

[marsh citrus]

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.

[subtle sphinx]

I tried solving this and got 170 as the answer , my approach was that there are 15 ways in which mouse can reach its food and same for crab so total number of ways without intersection is 15*15=225, now both of them can meet only in the squares of middle row so its like (1,2),(2,2),(3.2) ... are the only places they can meet so for each of the cases the total number of ways is 1^2,2^2,3^2,4^2,5^2 , I added these and subtracted from 225, but the answer given is 28 Is the answer wrong or is my method have any flaw

[iron meadow]

1. how did you reach the conclusion that there are 15 ways in which either the mouse or crab can reach their food?
2. how did you reach the conclusion that they can only meet in the middle?

[subtle sphinx]

1)there can only move Right(R) or Up(U)/Down(D) depending on the animal so to reach the food they hv to go 4Rs and 2Us and number of ways of arranging them is 6!/(4!*2!)=15
2)I don't have a clear explanation for this , but intiutively it seems like they can of meet in middle row , this is also the part where I think I hv made a mistake

[iron meadow]

ya that seems correct so far

i guess they can only meet in the middle because if the crab is in top row, the mouse would have taken 2 extra steps to the right already etc.

[subtle sphinx]

yeah

[vivid chasm]

Since the total amount of routes are so small for each, might not be too atrocious of an idea to do it manually

[subtle sphinx]

ik that they are less for both individually but overall total number of routes 225 ,which takes up v much time

[marsh citrus]

@subtle sphinx Has your question been resolved?

[subtle sphinx]

<@&286206848099549185>

[marsh citrus]

@subtle sphinx Has your question been resolved?

[subtle sphinx]

.close

[marsh citrus]

Channel closed

Closed by @subtle sphinx

Use .reopen if this was a mistake.

[marsh citrus]

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.

[split geode]

x=1/81
but in solution it is given x=81

[proud basin]

whats the original question?

and also, could you send a better pic? its kinda blurry

[split geode]

here is the original que

[proud basin]

uh first this is wrong

you can only do that when the inside of the log is completely squared, like $\log_{3}((3x)^2)=2\log_{3}(3x)$

[elfin berry]

Skill_Issue

[split geode]

oh yes

got it

[proud basin]

the same goes for the other log

[split geode]

oky thnx

.close

[marsh citrus]

Channel closed

Closed by @split geode

Use .reopen if this was a mistake.

[marsh citrus]

Available help channel!

Send your question here to claim the channel.

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

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

Channel closed

Channel closed due to the original message being deleted.
If you did not intend to do this, please open a new help channel,
as this action is irreversible, and this channel may abruptly lock.

[worn vale]

Give me some hints not the solution

[marsh citrus]

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.

[granite burrow]

Question når (when) a > 0

Been doing a bunch of these questions where you’re given a number like sqrt(27x^4) and have to simplify it as exponents (as the answer would be 3 sqrt(3x^2))

Having quite a bit of trouble with this one though, answer given is .5 sqrt(a^3) and I have no idea where they’ve gotten the answer

[uncut oasis]

Never heard of a function called når before

What language is that?

[granite burrow]

That’s Norwegian, når means “when”

[uncut oasis]

Ok

[granite burrow]

The work I’ve done so far, not much, dunno what the next step is

[uncut oasis]

That's half the problem really

[cobalt sedge]

you can treat the 4th root as sqrt(sqrt(a^6))

[uncut oasis]

What's the fourth root of a^6?

[granite burrow]

a^6/4?

[uncut oasis]

Yup

[raw hawk]

Yes

[uncut oasis]

That's literally all you can do

[raw hawk]

They are both Even

6&4

[granite burrow]

Hmm this is the answer given

[granite burrow]

2/3

[raw hawk]

Try again

You flipped it

[granite burrow]

3/2*

Always used to fractions being lower than 1 so just instinctively said 2/3 haha

[granite burrow]

Ahh I think I got it

(Got the correct answer, though maybe I did something wrong and rushed it)

[marsh citrus]

@granite burrow Has your question been resolved?

Channel closed

Closed by @granite burrow

Use .reopen if this was a mistake.

[marsh citrus]

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.

[stuck imp]

a

[stuck imp]

https://cdn.discordapp.com/attachments/908078493655502919/1278056907093049459/image.png?ex=66cf6abf&is=66ce193f&hm=db4f1c7b18d1922ff0bc2258d8cb73c2f619c2dfbba0db4342d6a52e30078860&

[stuck imp]

Can someone explain this for me?

(completing the square factoring methods)

[lilac siren]

not sure I get what the picture is meant to hint at

[stuck imp]

they are checking the factors of one

which doesnt really make sense but i guess so (i mean it does but bruh)

cuz theyre gonna add and multiply it

they want to factorhttps://youtu.be/P8W2M0jq2Qs

0:35

but really what i want to know is the difference between this method and usual methods

and how the factoring process makes any sense

i swear

horrible

[lilac siren]

k, then consider that any quadratic has the form ax²+bx+c. For it to turn into the square form (dx+e)², you'll have d²=a, 2de=b and e²=c

which means if c=1, then e is either -1 or 1

[lilac siren]

since (dx+e)²=d²x²+2dex+e²

well and we also know a = 1, meaning d = -1 or 1

however, since b = 2 = 2de, d and e can't have different signs

otherwise b would be negative (due to b = 2 * d * e)

the other two cases work however, meaning x²+2x+1 = (x+1)² = (-x-1)²

d = e = 1 and d = e = -1 work

[stuck imp]

bro......

my guy

i dont mean this to be rude but like

your phrasing is so...

like

really?

[lilac siren]

hm k

[stuck imp]

im asking to understand and i know most of the concepts already but even with that i have no idea what half of this means because of the way its written.

[lilac siren]

are some aspects unclear?

or rather at which point did I lose you

[stuck imp]

bro the moment you said that i was tweaking ngl

another thing is that its not that i cant read it

because i can just use component reasoning and take the parts i do understand and match them but

that one sentence just... bouta pass out the moment i read that

[stuck imp]

can you explain what exactly this is?

and why it looks like that

like what is dex?

[lilac siren]

k, I mean your initial goal is to turn a quadratic of the form ax²+bx+c into a square form like (dx+e)² right

[stuck imp]

yes

[lilac siren]

and for them to match the equation ax²+bx+c = (dx+e)² has to be true

[stuck imp]

you want the whole fraction to simply square resulting in the prior one it was factored from

tldr it equal but easier

[stuck imp]

yes

i understand again it isnt what you said its how you said it that was just like bro

[lilac siren]

yes and for each term to align, a must be d², b must be 2 * d * e and c must be e²

because, if we calculate (dx+e)²:
(dx+e)² = d²*x² + 2*d*e*x + e²

and for it to be equal to a*x² + b*x + c, we know the above

namely d² = a, 2de = b, e² = c

if that part becomes clear the rest is easy

[lilac siren]

is it comparatively clear now where these equalities come from? :D

[stuck imp]

._.

give me like

a minute

[lilac siren]

np

[stuck imp]

i swear if this means what i think it does

is this the factoring process

where you multiply the two powers together

[lilac siren]

it comes next

after this step

[stuck imp]

dude ngl

i dont think you can help me

just the way you talk

i probably understand everything you said already its just the way you talk is like

excruciating

[lilac siren]

k wait, how do you multiply out (d*x + e)²

[stuck imp]

like your explanation is actually harder to understand than the actual math (not literally the math takes me over 100 hours per problem)

one second

[stuck imp]

by * do you mean power or multiplication

?????????

why did you use a *????

[lilac siren]

mult

[stuck imp]

dx = d*x

shrug its fine

[lilac siren]

yes

[stuck imp]

here

[lilac siren]

I can write in latex too instead if you want

for discord lingo multiplication * is kind of standard

[stuck imp]

ok so im assuming you already did all the operations and this is the final form yes?

[lilac siren]

well yeah you can multiply it out yourself too

(d*x + e)² = d²*x² + 2*d*e*x + e²

this is what comes out

[stuck imp]

so youd set it equal to zero (the result and you want to look for an input value that would generate zero)

is that correct

[lilac siren]

if the goal is to find the roots yes

the completing the square method is not exclusive to finding roots, but yeah I assume you're trying to find the roots

[stuck imp]

.

i cant even ask you this because i know already your probably going t ogive me the worst formatting ive ever seen but

here

i dont actually understand how the factoring process works

like

it only makes sense if i just ignore them and do it myself and even then it doesnt

because

i mean it was stupid how its not like thoroughly explained how 1 is a factor of 1 and how theyre really just looking for any operation that can equate to the whole and calling that factoring

cuz thats basically just lying

but

the problem is

ok so i thought it was ineficient trying to factor a whole problem

but trying to somehow find 1-2 values that can somehow square to somehow solve the entire problem?

F

[lilac siren]

Well yeah, if you find the pairs that work for d and e then you're done

e.g. say we're given 4x²-20x+25

a = 4
b = -20
c = 25

and we know
d² = a = 4
e² = c = 25

which means d is either -2 or 2

and c is either -5 or 5

so you have 4 possible pairs for d and e:
-2, -5
-2, 5
2, -5
2, 5

and to find out which ones work, we look at the remaining b term, for which we know 2 * d * e = b = -20

the two pairs which work are
-2, 5
2, -5

final result:

4x²-20x+25 = (-2x + 5)²

and 4x²-20x+25 = (2x - 5)²

@stuck imp anything remaining unclear? 🐛

hm

[marsh citrus]

@stuck imp Has your question been resolved?

[marsh citrus]

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.

[stray raven]

need some help with this cause it says my answer is correct but not in the right form, maybe i'm not seeing something right

i understand sin and csc are opposites and using the reciprocal identity states sin = 1/csc

[glass silo]

What did you put into the answer box?

[stray raven]

LMAO

ur right

i just noticed

i put fraction

it was the decimal answer of my fraction

mathematicians like me cant read i guess

thanks lol

.close

[marsh citrus]

Channel closed

Closed by @stray raven

Use .reopen if this was a mistake.

[marsh citrus]

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.

[bleak lake]

can anyone js explain to me how to find range of an equation

[marsh citrus]

@bleak lake Has your question been resolved?

[marsh citrus]

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.

[tough escarp]

Help with geomtry

[still temple]

send the question noah

[tough escarp]

Area and perimeter

[still temple]

bro how old are you

[tough escarp]

16

[still temple]

ah k

just surprised to see a 16 year old doing area area and perimeter

thought you are underage

[tough escarp]

I am so lost in geomtry

[inland prawn]

2. try substracting the area of the big triangle and the small one

[still temple]

fair enough, a lot of people are lost in geom

[tough escarp]

None of it makes any sense whatsoever r

[inland prawn]

are you trying to get the shaded area in 2?

[tough escarp]

Yes

And for 3

[inland prawn]

notice that the shaded area is the area of the big triangle minus the area of the small one

[tough escarp]

I have no idea what I am subtracting

[inland prawn]

can u get the area for the big triangle?

ignore the small one

[tough escarp]

No I don’t know what to do wether it’s adding, subtracting etc

[inland prawn]

area of a triangle formula?

[tough escarp]

I am confused.

[inland prawn]

ok, let's start again

[inland prawn]

U want the area and perimiter of these figures right?

[tough escarp]

Yes and this one

[inland prawn]

lets do the first

[stray aspen]

Big rectangle - small rectangle

Ignore the shading crap you’re just overthinking it

[tough escarp]

😅I am just gonna fail this is impossible

[inland prawn]

perimeter is like the lenght of the border, so add up all the sides (from outside and inside)

[tough escarp]

So would it be 2+4+5+7?

Cm

[inland prawn]

5+7+5+7 + 2+4+2+4

[stray aspen]

For the first question the big rectangle is the well larger one the formula for area is W * L so the area for the big rectangle is 7 5 = 35. Now that the big rectangle is out of the way you need to solve for the small one. The width of the small one is 4 while the length is 2 so 42=8. Now subtract the small rectangle from the large one because it’s the non shaded area 35-8=27

[stray aspen]

Y u having him do perimeter isn’t it asking for area?

[inland prawn]

both

[tough escarp]

The first 3 are area and the last one is area and perimeter

[inland prawn]

oh, then Senku u are correct

[stray aspen]

Did u understand what I said Ealier

[tough escarp]

I am confused it said just the shaded I didn’t think that we were finding the inside

[stray aspen]

Is the inside shaded?

[tough escarp]

Nope just around that little rectangle

[stray aspen]

Yeah so we’re solving for the non shaded area in order to subtract it from the shaded area

Understand or no

[tough escarp]

That’s not how I remember it being taught I thought my teacher was just doing the outside

[stray aspen]

Let me give u an example

[tough escarp]

Ok

[stray aspen]

So let’s say I’m solving for the area of a field of grass

Let’s say it’s a square being a 4 x 4 meaning it’s four inches on each side

Let’s say there’s a flower patch in the center that’s 2x2

Let me send an image

Let’s say I wanted to solve for the area of grass but I don’t want any flowers

So I’ll be solving for this area

The darker highlighted area is the one I want

The lighter one is the one I don’t wanr

[tough escarp]

Okay

[stray aspen]

U following along?

Understand or nah

[tough escarp]

So far

[stray aspen]

Ok

So how can I get the red shades without the yellow shades?

[tough escarp]

Uh

[stray aspen]

Do you need help or u got it

[tough escarp]

When we did the notes for this work the area that shows the distance like spreading out we added so

Let me send you a picture

[stray aspen]

Eh ignore that it’s just making it more conplciated

Get the basics first

[tough escarp]

She added 4ft to 16ft 2 times to get it to 24ft and she had the equation p=2(24)*2(30 so we got p =108

But problem one has those same lines

[stray aspen]

Like I said

Get the basics first

If you can’t get the basics u can’t get the advanced

[tough escarp]

Like that 4cm should be like 7 or something since it doesn’t cover up all the way

[tough escarp]

Okay

[stray aspen]

So how would we get the red shaded without the yellow shaded

[tough escarp]

I have no idea

Like I said I am so lost I don’t don’t what number go to what or anything

[stray aspen]

Okay

If we got the area of the red outside square

Let’s call it big square the 4x4

What would we get

[tough escarp]

16

[stray aspen]

Okay

So let’s say the area of the big square is 16

Now we also have a small square right

One that we don’t want inside the big square

[tough escarp]

Is the whole thing 16

[stray aspen]

Because we don’t want flowers right?

[stray aspen]

The giant red squares total area is

But we don’t want the total we want the area without flowers

Understand?

[tough escarp]

Okay

Yes

So do we do 16-4

[stray aspen]

Yep

Can you explain how you got 4 thought?

[tough escarp]

2*2

[stray aspen]

Good

So do you understand what we did

And how we got 12?

[tough escarp]

So far

But like that’s sample all these problems are so hard

[stray aspen]

Think of the big square as the grass field and the small square as the flowers

How would we solve this one?

We don’t want the rectangle inside

[tough escarp]

7*5

+7*5

[stray aspen]

Ok so that’s the area of the large rectangle good job

So what’s 7*5

[tough escarp]

35

Is it 35cm^2

70cm^2 I mean

[stray aspen]

How’d you get 70

[tough escarp]

35+35

[stray aspen]

Why are u doing 35+35

[tough escarp]

I thought that was half the area like that side so you would have to multiply it by 2

[stray aspen]

????

[tough escarp]

Shoot wait nvm I get it

Same thing for this problem

[stray aspen]

Yep

[tough escarp]

Idk why I multiplied it twice

Okay so what after 35cm squared

[stray aspen]

Well we don’t want the flowers inside

How do we get rid of them

[tough escarp]

Multiply 4*2 then subtract

[stray aspen]

Nice

U got it

[tough escarp]

Okay what about the 2nd problem the triangle

[stray aspen]

Now which one do u want to do next cuz Igtg soon

[stray aspen]

Alr

Do you know how to find the area of a triangle?

[tough escarp]

Nope never done that before

[stray aspen]

Okay

Let me send an image rq

What does this look like it’s made out of

[tough escarp]

Two iscoclace triangle s

[stray aspen]

More complicated version but Bassicly two triangles

[tough escarp]

Ok

[stray aspen]

So if two triangles make a rectangle

Then

The area of a triangle is half of a rectangle

[tough escarp]

Two triangles are considered a rectangle ?

When put together

[stray aspen]

So this is 6*10/2

Yes

[stray aspen]

If the triangles are the same

[tough escarp]

Okay wait I am lost

[stray aspen]

We pretend as if we had two triangles

Even though it’s one

[tough escarp]

Okay

[stray aspen]

To create a rectangle

Then we multiply w * l

Like usual

[tough escarp]

Okay

[stray aspen]

And divide the solution by 2 to get the area of one triangle

[tough escarp]

So 6*10 I got that

[stray aspen]

Because this is the area of two triangles

[tough escarp]

Okay

I don’t get why we are deciding by 2

[stray aspen]

Understand?

Okay

[tough escarp]

Dividing *

[stray aspen]

So we added a triangle to create the rectangle right

[tough escarp]

Yes

[stray aspen]

So we have to take away that triangle

[tough escarp]

Okay

[stray aspen]

How can we turn two triangles into one

[tough escarp]

Divide it

[stray aspen]

Great

So do you understand why we divided by 2

[tough escarp]

Sorta of so is that 30inch

[stray aspen]

Yep

So the big triangle field of grass is 30

[tough escarp]

What do we do with the 2 and the 3inch

[stray aspen]

Same process

[tough escarp]

Wait so the shaded part is 30 and the little unshaded triangle is also 30.

[stray aspen]

It’s a little patch of flowers and we hate flowrrs

[stray aspen]

No

Don’t worry about the shades

The whole field of grass and flowers combined is 30

[tough escarp]

Okay

[stray aspen]

But now we want to solve for the flowers (triangle in the center)

So we can get just grass

[tough escarp]

Okay so 2*3 =6

[stray aspen]

What’s next?

[tough escarp]

30-6

[stray aspen]

Forgot a step

[sharp nimbus]

Hello?

[tough escarp]

Uh

30-6

[stray aspen]

We made a full rectangle with two triangles

We doubled the triangles to make a rectangle

[tough escarp]

Right

[stray aspen]

Now we have to take away a triangle

How do we do that

[tough escarp]

So 2*3=6/2=3?

[stray aspen]

Yep

Perfect

[tough escarp]

So 30-3= 27 is the inside unshaded patch

[stray aspen]

No

You’re done u already solved it

[tough escarp]

Just 3inch

[stray aspen]

3 inch is flowers

30 inch is flower and grass

What’s the area of just grass

[tough escarp]

Okay so shaded is 30 inches and 3 is the unshade little triangle

27 shaded ?

[stray aspen]

Yes

Think of it this way the whole shape is grass and flowers the unshaded is flowers and the shaded is grass

[tough escarp]

Wait so both those problems answer were 27cm squared and 27 inches squared

[stray aspen]

Uhh what

[stray aspen]

Yeah ur right

[tough escarp]

Okay.

Do you know anyone who could help me with that one if you have to go

That one is both area and perimeter

[stray aspen]

Igtg gl

[tough escarp]

Thank you

[hazy lion]

.close

[marsh citrus]

Channel closed

Closed by @hazy lion

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.

[sharp nimbus]

Help

[marsh citrus]

Please don't occupy multiple help channels.

[inland prawn]

?

[inland prawn]

Send the question

[quaint elm]

.close

[marsh citrus]

Channel closed

Closed by @quaint elm

Use .reopen if this was a mistake.

[quaint elm]

looks like you have a different channel

[marsh citrus]

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 thistle]

can I get help on this please?

[mint thistle]

ive attempted and its all wrong

[boreal rose]

show us ur work

also how do you guys have work already 😭

goddamn

[mint thistle]

okay so because i understand that -2,-1, and -3 is from the Y-axis I understand that -2 is(-5,-3) meaning an x should be between it. for -1 (-3,2) it means x is in between, and for -3 its (2,4)

so it should be

what i got was

[boreal rose]

do you know what the closed ball means

[mint thistle]

closed ball means included

open means not included

[boreal rose]

so why would it be -3) and not -3]

[mint thistle]

so you're saying they should be in [] not in a less than or equal to form

if you know what I mean by that

[boreal rose]

-5 <= x <= -3

[mint thistle]

so should it be

[boreal rose]

then

-3 < x < ...

[mint thistle]

i tried that

that was my first guess to

and it was wrong

[boreal rose]

can I see how

you formatted ur previous answers

[mint thistle]

I dont have them written but I can attempt all of them for you right now as i'd write them and show you

[boreal rose]

no that's fine

[mint thistle]

I do it more off the top of my head

[boreal rose]

I was just wondering if there was a formatting required

[mint thistle]

oh no there isnt

[boreal rose]

for the less than optimal canvas websit

[mint thistle]

the video shows that same formal

[boreal rose]

how many attempts

do you get btw

[mint thistle]

format

oh

100

[boreal rose]

can you put

the thingy for -1

[mint thistle]

like

-1 instead of a number?

oh

i

[boreal rose]

the if part

[mint thistle]

ohhhh

im slow

mbmb

okay okay!!

[boreal rose]

dont say that

[boreal rose]

don't include -3

[mint thistle]

I know theres one side with an open circle

[boreal rose]

it's open ball

[mint thistle]

oh

okay okay!

so should it be

x<=2

???

[boreal rose]

-3 < x <=2

no?

[mint thistle]

it said it was wrong

Dw about the DNE

[boreal rose]

what the hell

send me the video

I think it's a formatting issue

[mint thistle]

okay okay!

[boreal rose]

sorry about the language

[mint thistle]

i thought i was going crazy and my answers were wrong

no ur good ur good

[boreal rose]

no they are right

[mint thistle]

https://www.myopenmath.com/assessment/watchvid.php?url=https%3A%2F%2Fyoutu.be%2FVoXqZt_etm8

[boreal rose]

@mint thistle

[mint thistle]

wait I GOT IT

[boreal rose]

I swear I'm not crazy

but like

[mint thistle]

we arent

[boreal rose]

why did he say less than or equal to

[mint thistle]

EXACTLYYYYYY

[boreal rose]

and then not put equal to

the hell

[mint thistle]

okay i just tried it

[boreal rose]

did IT WORK?

[mint thistle]

so the video meanns nothing

LOOK

[boreal rose]

💀

[mint thistle]

THIS IS SO STUPID

[boreal rose]

cooked 💀

on the 2nd day of classe

[boreal rose]

UR LYING

[mint thistle]

you were right at the beginning!!!!

OMG

[boreal rose]

i knew it was formatting

[mint thistle]

GUYS

GGS NT

[boreal rose]

GGS?

[mint thistle]

mbmb

im cooked

dude

[boreal rose]

like good game

[mint thistle]

i was confused

[boreal rose]

or sm?

[mint thistle]

yes yes

gg

[boreal rose]

mhm

[mint thistle]

good game

[boreal rose]

gg

[mint thistle]

lmaooooooo

i was confused

[boreal rose]

wait

[mint thistle]

i was like

[boreal rose]

gg is toxic

right

[mint thistle]

no way im triping

because

our professor didnt teach us that

he was like

it needs to be in the less or equal to signs

[boreal rose]

😭

[mint thistle]

and I was like okay

and i tried

[boreal rose]

but the intervals

is ssame thing lowk

the video THOUGH

[mint thistle]

yeah it is

[boreal rose]

that was a bait

[mint thistle]

IT WAS

i watched the video

and i was like

absolutely not clicked off

[boreal rose]

😭

[mint thistle]

like i paused at this part

[boreal rose]

the video seems liek one of those

2004 ahh videos

microsoft powerpoint 2011

[mint thistle]

DUDE I KNOW!

well thank you @boreal rose

[boreal rose]

of course

chich

[mint thistle]

if I could give you a free chick fil a meal I would

[boreal rose]

get me like

the biscuits and the mac and cheese

fr

[mint thistle]

im a manager

[boreal rose]

and like 12 piece chicken

[mint thistle]

done

[boreal rose]

and wait

[mint thistle]

free

[boreal rose]

how you a manager in uni

[dusty sable]

hes him

[mint thistle]

3 times a week

[boreal rose]

fr

[mint thistle]

over the summer

it was 59 hours weekly

[boreal rose]

59 HOURS?

[mint thistle]

yup

[dusty sable]

send problems

[mint thistle]

i was fried by the end of the summer

[boreal rose]

what's ur go to chick fil a

order

[mint thistle]

a cfa sandwhich with extra pickles, colby jack, with bacon, mayo on the side and a large fry

or

[wintry gale]

Huh

[mint thistle]

12ct grilled nugget with a small mac

and buffalo

[wintry gale]

Quite a mathematical talk

[dusty sable]

fr

[mint thistle]

very

[dusty sable]

send them problems tho

[boreal rose]

very very

[mint thistle]

no we actually just got done

[wintry gale]

The numbers just radiating from this conversation

[dusty sable]

oh

then rip

[mint thistle]

we were confused

but we got it

[boreal rose]

chich

[mint thistle]

it was the format

[dusty sable]

you have to close the chat i think

[boreal rose]

is bouta tell me

the amount of money

yeah

it costs

for a chic fil a meal

[mint thistle]

oh shit

in cali

that shits $16 for a meal

[boreal rose]

ayo

ur scamming ppl

[mint thistle]

NAHHHH NOT ME

i swear

[boreal rose]

I don't even get paid $16/hr for my physics TA job

[dusty sable]

its inflation

[boreal rose]

💀

[dusty sable]

and minimum wage

is so high

[mint thistle]

dude inflation is awful

[boreal rose]

ITS BC OF you

scamming ppl

fr

[mint thistle]

we went from $4 to $16

[dusty sable]

higher minmum wage = higher prices

[mint thistle]

NOOO I SWEAR

hey gang igtg

[dusty sable]

higher inflation = higher price

[mint thistle]

brb

[dusty sable]

okay gang

close chat

[boreal rose]

okay gang

I need ur help

with a problem now

[dusty sable]

ok

[boreal rose]

I need help proving this @dusty sable

the hint I was given is that it should used max flow min cut

[dusty sable]

wth

theres no picture?

[boreal rose]

wym

that's the picture

[dusty sable]

i remember when i did this back then, i got like circles

[boreal rose]

😭

what

[dusty sable]

they were like bonds connecting

idk about this one

[boreal rose]

master yapper here

[marsh citrus]

@mint thistle Has your question been resolved?

Channel closed

Closed by @mint thistle

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.

[crude valve]

since there f(x) does not pass through (0,0) you can eliminate C and D.

[leaden hollow]

real

but idk what to do with A and B

[crude valve]

you can rewrite the equations for A and B using the values of b and c shown on the table

then you can find out what the answer is

so since for A the value of b would be positive and c is negative, it becomes -(x-b)(x+c)^2

and for B

it becomes -(x+b)(x-c)^2

since B has the (x-c)^2

that means that the function barely reaches 0 and turns back when x is positive

which we see on the drawing

so the answer is B

[marsh citrus]

@leaden hollow Has your question been resolved?

[leaden hollow]

Ohhh it makes sense to me now

Thanks vro

[marsh citrus]

Channel closed

Closed by @leaden hollow

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[sour jackal]

<@&286206848099549185> dmz me for explanation

[marsh citrus]

Please don't occupy multiple help channels.

[eager tinsel]

!15m

[marsh citrus]

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.

[eager tinsel]

also don't open multiple channels, stick with just one

[sour jackal]

what is !15m

[eager tinsel]

.

[sour jackal]

i am new

[eager tinsel]

https://discord.com/channels/268882317391429632/488120190538743810

.close

[marsh citrus]

Channel closed

Closed by @eager tinsel

Use .reopen if this was a mistake.

[sour jackal]

ok

[marsh citrus]

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.

[ember hedge]

From my current understanding, both first order partial derivatived of the function f(x,y) existing does not guarantee the function is differentiable. My question is, what happens if the partial derivatives dont exist at a point? Is that enough to say the function is not differentiable at the point?

[marsh citrus]

@ember hedge Has your question been resolved?

[brave marsh]

Yes.
The statement is that if a function is differentiable, then the partials exist.

As you've pointed out, existence of the partials does not guarantee differentiability (i.e. the converse of that statement is false).

However, if we take the contrapositive, then we see that if (one of) the partials don't exist, then the function is not differentiable.

[marsh citrus]

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.

[severe owl]

Hii !

@timber imp hey dice

[timber imp]

hii!

[severe owl]

The avg weight of remaining 5 potatoes is

,calc 1020/5

[elfin berry]

Result:

204

[severe owl]

So the lightest of the two heaviest

Is >204 no ?

So i think answer should be 212

[timber imp]

wait why does the average affect this?

[severe owl]

Because, if a potato in the remaining 5 , is greater in weight

Then how did we remove the two heaviest?

A fallacy

[timber imp]

yeah but theyre all different weight so they cant all be 204g

[severe owl]

Np

203,203.5,204.5,205,206

The value 212 is much greater than 204

Even if it was 205 , we could have done in a similar way

We need something> 204

It maybe 204.000000000000001 also

[timber imp]

wait what was the purpose of finding the average here?

[severe owl]

Because the average Weight is the case where , the maximum weight of the potatoes will be minimised

[timber imp]

but there can be values higher and lower than the average, wdym by that?

[severe owl]

Yeah there can be , but this a maths question

We have to find the "lightest" she removed

[timber imp]

i dont rlly get what u mean by this sry 😭

[severe owl]

Ahh let me rexplain

See , Here Paula has picked up the two heaviest.

Now we need to find a situation, from the given options where the lighter of the two heaviest, can be the lightest,

[timber imp]

lighest of the 2 or lighest out of the 7?

[severe owl]

Now this is possible, if we assume , that all the remaining potatoes have , the least maximum weight, which we can do by fixing the deviation to 0

[severe owl]

Of the 2

But there can be many cases no ?

Infinite cases

[severe owl]

When we fix that all potatoes are equal weight we get the maximum weight of a potato to be 204

So in the least possible case , since the potatoes aren't all same weight

The maximum weight of potato tends to 204 either from right or left

I mean for some it's very slightly greater than 204 and others , very slightly lesser than 204

So if the 5 potatoes have average of 204 , then our two maximum potatoes will have a weight > 204 for suree

In our minimised max weight case we have already proved this

So the max weight greater than 204 , and least of the given options, is 212

[timber imp]

what does it mean by deviation?

[timber imp]

and left or right

[severe owl]

I mean , the difference from the mean value

The mean value is the average value

If deviation of other values is 0

Then every , element of the set assumes the mean value

[severe owl]

Since all potatoes can't be same weight

All potatoes are around 204

Like , 203.8,203.9,204,204.1,204.2

Of these two values , 203.8 and 204.9 approaches to 204 from left

Whereas the other two from right

(this is visualised as a number line)

[timber imp]

but then how do we know its >204 if were making the deviation 0

because wont making deviation 0 change it

[severe owl]

Since you said , the. Potatoes have different weights

So all the potato weights of the remaining 5 can be considered somewhere around 204

[timber imp]

it could be like 20 50 400 or smt if we do that right?

[severe owl]

If we don't do it

The weight of the potatoes may vary excessively

But again it shouldn't exceed the minimum weight of the two potatoes, Paula removed

[timber imp]

my approach before was 1.45-1.02=0.43 so 2 biggest are 430g combined and now they arent the same so it cant be 215 and it cant be 220 so its either 204 and 212 but based on what you said how would it be >204 im still a bit cnfused abt

[severe owl]

My conditions apply

If 204 would be the weight of the lightest

Then how can all the remaining make an average of 204 ? With all not of the same weight

Then there must exist some potato which is greater than 204

So you see the required condition is necessarily, > 204 ,

What you calculated is a constraint, but wasn't required for this

[timber imp]

yeah but we dont know if 204 is the lighest? srry im like rly confused rn and ur prolly a bit annoyed 🙏

@severe owl r u here rn?

[severe owl]

We can't say 204 to be the lightest

If 204 is lightest of the two heaviest

Can you arrange the remaining 5 in a way such that the maximum doesn't exceed 204 ?

[severe owl]

NP bro !

[timber imp]

if the average is 204 that would be impossible right

[severe owl]

Yeahh !

So the max weight of the potatoes, must be strictly greater than 204

Do you understand, why we impose this condition?

[timber imp]

so the average is 204 and because they have to be atleast a few over 204 because it cant reach that average without >204?

[severe owl]

Yeahh

And keep in mind , we need a case where the lighter of the two heaviest will be lightest

[timber imp]

and we already found that 220 and 215 dont work

so 212

[severe owl]

Yeahh !

Else you could have simply found , the greater of 204 from options

Okk bye i gtg for lunch , if you still have problems keep the channel open

[timber imp]

kk cya

js one more

[marsh citrus]

@timber imp Has your question been resolved?

[timber imp]

<@&286206848099549185>

[marsh citrus]

@timber imp Has your question been resolved?

[dreamy pollen]

@timber imp first find the quantity of all 3 then you can find the relation among them and choose correct answer from option

[timber imp]

would the quantity be something like 6:2:3?

[dreamy pollen]

No it won't be that straightforward, because second ratio is between the solution of first 2 and third

There are 2 ways to approach this question @timber imp

Either from start or from end

[timber imp]

how would we do from start?

[dreamy pollen]

Okkk suppose orange and pineapple juice solution is = x litre

[timber imp]

yeah

[dreamy pollen]

So can you write
Orange = 3x/4
Pineapple= 1x/4?

If you take ratio ,it will be 3 : 1

[timber imp]

wait is it x litre each or x litre combined

[dreamy pollen]

X combined

3x/4+1x/4 = X

The solution of Orange and pineapple is X litre

[timber imp]

is this the capital x?

[dreamy pollen]

Mb you can use x or X

I'm on mobile that's why making those mistakes

[timber imp]

o

[dreamy pollen]

Take capital X only
3X/4
1X/4

[timber imp]

so is 3X/4 the amount of orange juice

[dreamy pollen]

Yessss

And X/4 amount of pineapple juice

[timber imp]

what would we do next?

[dreamy pollen]

Now let's keep them there and come to next part
Solution to lemonade ratio is 2 : 3

Now we know solution(orange+pineapple) + lemonade mix is 3L

Correct?

[timber imp]

yeah

mb i had to do smt

[dreamy pollen]

No worries

[dreamy pollen]

So from this ratio we can find the
Amount of (orange + pineapple) solution
Amount of lemonade solution by doing

[timber imp]

lemonade solution is 1.8L right

[dreamy pollen]

(orange+ pineapple)Solution = 2/(2+3) * 3
Lemonade = 3/(2+3) * 3

[dreamy pollen]

Yeahh

[timber imp]

what does this mean?

[dreamy pollen]

Suppose you have a ratio given of 2 numbers as 1:2
and total of 2 numbers is 3
What will be 2 numbers?

[timber imp]

1 and 2?

[dreamy pollen]

What if the total of 2 numbers was 6?

[timber imp]

2 and 4

[dreamy pollen]

How did you calculate that?

[timber imp]

uhh

they add to 3 and we needed 6 so i doubled it

[dreamy pollen]

Haha so if we have 2 number's ratio as a:b and sum as c , then the numbers are

Second = (b/(a+b)) * c```

@timber imp got it?

[timber imp]

is there a reason for this

?

[dreamy pollen]

I don't know the reason exactly but that's how we calculate the individual values if we have the ratio in between them and sum given

[dreamy pollen]

If you add those 2 it will come as c which is the sum

You want me to show how that formula came @timber imp ??

[timber imp]

uhh if you know then id like to know why ig

[dreamy pollen]

Alright
Suppose two numbers are x and y and their ratio given is a:b, so can we write
x = k * a
y = k * b
Where k is a common multiplier

Because if we do x/y, k will be cancelled and we will get a/b only

[timber imp]

but isnt it a/a+b?

[dreamy pollen]

We haven't reached there

I am proving the formula remember

[timber imp]

o oops mb

[dreamy pollen]

Now if sum of x and y is given c
Can we write
k * a + k * b = c?

Taking k common we get
k * (a+b) = c
Dividing both side by (a+b)
k = c/(a+b)

@timber imp ^^

[timber imp]

yeah this makes sense so far

[dreamy pollen]

Now we got the value of k, can you tell me values of x and y from this by substituting k ^^

[timber imp]

ac/(a+b)?

[dreamy pollen]

And bc/(a+b)

Right?

[timber imp]

yeah

[dreamy pollen]

Now tell me if
(Orange + pineapple) solution to lemonade solution has ratio 2:3 and their total solution is 3L

Can you find the amount of

Orange+ pineapple
Lemonade

[timber imp]

1.2L:1.8L?

[dreamy pollen]

GREAT you are a quick learner

Now we have lemonade and (orange+ pineapple)

Go back to our beginning where we used X

Can you find orange and pineapple amount by substituting X there?

[dreamy pollen]

Btw X is 1.2L ^^

[timber imp]

o i was abt to ask lol

900:300 right?

[dreamy pollen]

Yep

Now find the ratio of
Orange : pineapple : lemonade

[timber imp]

900:300:1800 so 3:1:6?

[dreamy pollen]

Nice

Now answer your questions

You can do I am sure

[timber imp]

is it orange juice is 30% and lemonade:orange is 2:1

[dreamy pollen]

Seems correct

[timber imp]

hi so sorry i was js wondering why cant it be 6:2:3? it seems kinda true but im kinda dumb

[dreamy pollen]

How are you reaching 6:2:3?

Oh making 3:1 as 6:2?

[timber imp]

yeah

[dreamy pollen]

Well if question was orange to pineapple ratio is 3:1 and pineapple to lemonade ratio is 2:3

Then it could have been

6:2:3

But second part is solution of Orange and pineapple to lemonade ratio is 2:3

Then in 2 : 3 you need to make 2 to 4(1+3) so 3 will be changed to 6
So final ratio
3:1:6```

[timber imp]

wdym by 2 to 4(1+3) so 3?

[dreamy pollen]

In Ratio 2:3, 2 denotes the solution of Orange and pineapple
From the 3:1 ratio, you can say sum will be 4
So you need to make second ration from 2:3 to 4:6

These shortcuts are when you reach advance level 😅, don't try too much.
The one I explained is the correct way to solve these questions

[timber imp]

yeah but why cant it be 6:2:3? im like a litle dumb

[dreamy pollen]

I explained already

Then it could have been
6:2:3```

If a:b is given and b:c is given them you can write
a : b : c

Your question is a : b is given and (a+b) : c is given

[timber imp]

is that written a : b : 2c or is it that special case?

[dreamy pollen]

No, you can't say for sure

You need to calculate in they way I did

[marsh citrus]

@timber imp Has your question been resolved?

[marsh citrus]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sandal]

2+6+4+8=20 now this sounds simple but u can change addition signs to subtractions, multiplication,divsion. which result is impossible to obtain : 11; 12; 13 or 14

[alpine sandal]

<@&286206848099549185>

[knotty trellis]

Can you add parenthesis?

[alpine sandal]

sry my math level isnt great im 7th grade whats that?

[sullen lichen]

Note the fact that all numbers you are allowed (2, 4,6,8) to use are even and think about what parity (even or odd) those numbers can produce under addition subtraction, multiplication and division

[knotty trellis]

()

[alpine sandal]

oooh my english isnt great xD, no u cant add that

[alpine sandal]

yes was thinking bout that

[knotty trellis]

there are 3 signs

[alpine sandal]

yes

[knotty trellis]

so 4^3 options

[alpine sandal]

u cant change order of numbers

[alpine sandal]

alr

[knotty trellis]

if you smartly eliminate few options, it's not gonna be that bad to just brute force it

[alpine sandal]

wdym

i eliminated 14 because u can easly make it

[knotty trellis]

Trying until you find combinations that result in 3 of the numbers 11, 12, 13 and 14

[brave spire]

this is really just brute force

[alpine sandal]

alr

yea i thought u can somehow make equation for it or smt but looks like this is the only way

ty guys

[knotty trellis]

one thing you can note is that you never can divide by 6

so the first sign must be +, - or *

[alpine sandal]

yes! thought of that but i thought its just me making things up lol

do i close this?

[knotty trellis]

Sure, if you think you can finish this then just close it

[alpine sandal]

alr ty

.close

[marsh citrus]

Channel closed

Closed by @alpine sandal

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.

[upbeat notch]

Is the formula correct for calculating equivalent resistance for resistors connected in parallel?

[fickle lava]

yeah

[upbeat notch]

Alright bro thanks

[fickle lava]

np

[upbeat notch]

.close

[marsh citrus]

Channel closed

Closed by @upbeat notch

Use .reopen if this was a mistake.

[marsh citrus]

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.

[still temple]

In a school of 175 students, 24% are biology majors. Out of those 24%, 20% are freshmen, 30% are sophomores, 35% are juniors, and 15% are seniros. How many different ways are there to select three students in which all three are biology majors and one is a freshman, one a sophmore and one a senior?

[still temple]

This question is just stupid right?

8.4 freshmen students? Lol

12.6 sophomore students?

[mighty gyro]

Nop?

What did u do

Oh wait

Yes it's 8.4 lol

[marsh citrus]

@still temple Has your question been resolved?

[still temple]

yeah lol

[marsh citrus]

@still temple Has your question been resolved?

[vernal mantle]

8.4 freshmen because one got amputated 😭

[still temple]

okay so disregarding the actual numbers in the question

is it trivially just 8 * 12 * 6 if there are 8 freshmen, 12 sophmores, and 6 seniors?

[marsh citrus]

@still temple Has your question been resolved?

[marsh citrus]

@still temple Has your question been resolved?

[thorny bison]

go for pie principle of inclusion exclusion