help-0

[queen mural]

?

[fleet bolt]

you have to have a fancy calculator

[queen mural]

desmos work?

[fleet bolt]

idk, i usually use wolfram alpha

,wolf tan 55.6deg

[queen mural]

how would i plug it in?

[ocean seal]

Results provided by WolframAlpha

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

Requested by Quadruplay#0136

[fleet bolt]

wdym plug in

[queen mural]

nvm

next step?

[fleet bolt]

we know from sohcahtoa, that tan=opposite/adjacent

adjacent is the distance from the base of the building to the observer

and the opposite is its height

[queen mural]

-55.6/150?

[fleet bolt]

no

55.6 is the angle

we only use it for the tan

[queen mural]

or 1.46/-150

[fleet bolt]

no

[queen mural]

nvm ill keep listening to your explanation

[fleet bolt]

height is the opposite so we'll name it o

o/150=tan=1.46

o/150=1.46

multiply both sides by 150

you'll get o=219

which is your answet

answer*

[queen mural]

219 feet?

[fleet bolt]

yeah

[queen mural]

i love you

not in a romantic way

thanks

[fleet bolt]

np

[queen mural]

i really needed the help

[fleet bolt]

bruh wtf the sun is rising

[queen mural]

theres a few more

but if you need to go

[fleet bolt]

yeah sleep is supposedly important

bye

[queen mural]

thanks for your help

[eternal shadow]

can someone explain this better..?

[fleet bolt]

someone just asked before you

[eternal shadow]

the other channels are occupied

also he just got help so I can go real quick

what

.

k

@worthy verge Bye

I got ghost pinged

will be telling

[stuck lake]

is the angle in the top left a right angle?

[fleet bolt]

ugh

can't sleep

just use sqrts

sides of a 45/45/90 and a 30/60/90 triangle

the side shared between both triangles will be 12sqrt(2)

because in a 45/45/90 triangle, the sides are a/a/a*sqrt(2)

the sides are ordered the same as their opposing angles

now the sides in a 30/60/90 are in the following proportions

or relations

idk

a*0.5/a*0.5sqrt(2)/a

what

ah

i see

why tho

yes

but x=a*sqrt(3)/2

and a=12sqrt(2)

so we end up with x=6sqrt(6)

we don't care about the 1:2 sides, we care about the 1:0.865 sides

[eager fern]

https://media.discordapp.net/attachments/490557019623915520/838922455635984414/image0.png?width=335&height=447

im not sure about d-f

i think it would be undefined for d

but i dont know what e is

yeah

no

isnt that what im suppose to find out?

[muted raft]

??? how can x approach -x?

The question is $\lim_{x \to - \infty} f(x)$ lol

[ocean seal]

zslya

[eager fern]

would it just be 1?

[muted raft]

for what

[eager fern]

for the question

[muted raft]

why would it be 1?

[fossil sedge]

Anyone here able to do this?

[muted raft]

channel is busy

[eager fern]

would it be just like letter a?

im not sure

[muted raft]

What is going to happen as I keep moving left on your function f(x)?

[eager fern]

infinite

i thought it approaches from the left though

not moves towards the left

[stark lantern]

Is it -x or -inf?

[muted raft]

where is -infinity in the x-axis?

[eager fern]

x -> -x

i have no idea

[muted raft]

What

Can you post a new picture but a bit zoomed in?

I highly doubt we have lim x->-x here

[stark lantern]

ikr what could this even mean?x approaching x from the left?

[eager fern]

thats what it says

[muted raft]

Show the damn picture clearly then

[severe sphinx]

x(3) y(7) -5 = 3x + 7y -5 =

[eager fern]

ik my discord is loading on phone

[severe sphinx]

can someone help me after tht

ok wait can u explain

yup

[muted raft]

thats not x

[severe sphinx]

3x and 7y -5?

[eager fern]

idk what it means

[muted raft]

That still says $\lim_{x \to -\infty} f(x)$

[ocean seal]

zslya

[severe sphinx]

soo thats wht it wuld equal?

21

16

[eager fern]

so it would be infnite then?

[severe sphinx]

so 16? as the final answer them

ok i see nw

[eager fern]

https://cdn.discordapp.com/attachments/490557019623915520/839698687093375006/834498300421079052.png what would it be?

[muted raft]

What happens if we keep going left on the x-axis?

Where are we going towards?

[plush bear]

going to assume not occupied anymore because of inactivity

[sage lynx]

find the spring constant

[plush bear]

oh

LOL thats funny

[alpine sable]

Both have same areas, the formula for area is 1/2 ab sinC

[alpine sable]

Time period is 2pi sqrt ( m/k)

ur time period is 14/14=1, u know the mass too

[plush bear]

it says lengths

dont u need 1 length and 1 height?

[alpine sable]

Nah this 1/2 ab sin C is an alternate formula

u use this when u have 2 sides and the angle between them

[plush bear]

and what is C

the angle?

[alpine sable]

The angle between a and b

ye

[plush bear]

so 1a would be 1/2(5)(8)sin30

ok i got it

tysm

[sage lynx]

what do i do after that?

[hexed warren]

Plug in the formula

[sage lynx]

what formula

[hexed warren]

This one

[sage lynx]

O

thx

damn i got the wrong answer

rip

[alpine sable]

can some1 explain to me why my solution is wrong? (i have the answer which did it differently)

thatt was my approach to it

[ocean seal]

Chai T. Rex

[alpine sable]

oh wait nvm i think i got it

[plush bear]

i dont understand whats it asking me to find

the sine of the angle would that just be like

Sin30? or the solution of sin30

[thorn kindle]

Is it a right triangle?

Theres really not enough info given to define it

[plush bear]

it doesnt say

the formula that we've learned today is 1/2ab sinC

[oak chasm]

It doesn't need to say, you can figure it out with the Pythagorean theorem and the area formula.

[plush bear]

ik but idk what the final answer would be

in what form

[thorn kindle]

We dont know if its a right triangle though

[oak chasm]

Whether it's a right triangle, I mean.

[plush bear]

would 5a be sin30? or 1/2

because 1/2(4)(5)sinC=5

sinC = 30 or 150

[oak chasm]

What's the range of sine?

[ocean seal]

Chai T. Rex

[plush bear]

sorry i meant

sinC is sin30

c=30

which is 1/2

[ocean seal]

Chai T. Rex

[plush bear]

alr now how about 5b

[oak chasm]

What's an included angle?

[plush bear]

no clue

give me a second to check my notes

[oak chasm]

Oh!

I know.

It's C.

[plush bear]

i know what it is but i dont know what it means when it says "find the two possible measures of the included angle."

[oak chasm]

So, there are two angles with that sine.

[plush bear]

so, sin30 and sin150?

[oak chasm]

Yes.

[plush bear]

and 5a is 1/2

ty :)

[ocean seal]

Chai T. Rex

[oak chasm]

No problem.

[runic vine]

(6a)^2 how do I write that without exponents wouldn’t it be 6•6

[plush bear]

multiply 6a by 6a

[ocean seal]

Chai T. Rex

[plush bear]

^ this also works

[runic vine]

Ok thx

[oak chasm]

No problem.

[alpine sable]

Hello can someone help me solve this problem

[oak chasm]

@alpine sable Which part?

[alpine sable]

First

And secc9nd ig

[bleak ibex]

Start by finding all their ages in one timeline

[alpine sable]

Ok

I think

The first is

Dad is 33

And the mum is 28

Emma is six?

Idk

[bleak ibex]

Yeah

[oak chasm]

Yes, the first Christmas, I think that's correct.

[alpine sable]

Alright

[oak chasm]

But part a is about the second Christmas.

[alpine sable]

Yeah..

Idk what the timeline is...

[bleak ibex]

You need to find how much time has passed between the first and the second Christmas

U add x to all their ages and equate the mother's and Emma's ages

[oak chasm]

Timeless facts:

Emma = Lara + 3
Dad = Lara + 30
Mom = Lara + 25

[alpine sable]

Uhhh

Oki

[bleak ibex]

During the second Christmas

[alpine sable]

What is x tho

[bleak ibex]

.

[oak chasm]

3 Emma = Mom
3 (Lara + 3) = Lara + 25
2 Lara = 16
Lara = 8

Jason = Lara + 4

So, for any year at Christmas:

Emma  = Lara +  3
Jason = Lara +  4
Mom   = Lara + 25
Dad   = Lara + 30

[alpine sable]

Ohh

So is x 4

[oak chasm]

What's x?

[bleak ibex]

The time elapsed between the first and the second Christmas

[oak chasm]

Oh.

No.

[alpine sable]

Oh

[bleak ibex]

When you find x, you just add it to Emma's age from the first Christmas, and you get her age for the second Christmas

So, 3(Emma+x)=(mother+x)

[bleak ibex]

?

[oak chasm]

x isn't 4.

[bleak ibex]

Ahh

[alpine sable]

gm

Ohh

Hmmmmm

[oak chasm]

@alpine sable Stuck?

[alpine sable]

Yeah

[oak chasm]

OK, let's do this.

[alpine sable]

I'm sorry im dumb

[oak chasm]

Person = Lara + years

[alpine sable]

gm

[oak chasm]

@alpine sable Get everyone in the family as an equation Person = Lara + n

Do you see how this equation works for any year?

Like if Jim = Lara + 10 You can see that it works for any year. Year 50? Add 10 to Lara's age.

Still works.

Does that make sense?

@alpine sable Still there?

[alpine sable]

Ofc

I'm sorry just writing it down

[oak chasm]

Oh, OK.

You want each person to be Lara's age plus a number of years. Get all those equations.

[alpine sable]

Hmmm

Okay

[oak chasm]

So, Lara starts out as three, right?

[alpine sable]

Yes

[oak chasm]

Her father is 11 times as old, right?

[oak chasm]

How old is her father?

[alpine sable]

33

On the 1st xmas

[oak chasm]

What is that in Dad = Lara + what

What do we add to Lara to get Dad?

[alpine sable]

1/11 th?

[oak chasm]

No, Dad isn't 1/11th of a year older than Lara.

[alpine sable]

Od dada age to Lara?

[oak chasm]

How many years older is Dad than Lara?

[alpine sable]

Oops sorry

30

[oak chasm]

OK, so your first equation is done! Dad = Lara + 30

What about Emma? How old is Emma when Lara is three?

[alpine sable]

Y

6

[oak chasm]

How many years older than Lara is Emma?

[alpine sable]

Oops didn't mean to type y

[oak chasm]

@alpine sable How many years older than Lara is Emma?

[alpine sable]

3

[oak chasm]

OK, so our first two equations are done!```
Emma = Lara + 3
Dad = Lara + 30

See how we're making progress?

[alpine sable]

Ohh

So

Lara is

6?

On 2nd

[oak chasm]

No.

Let's do it step by step.

Don't skip ahead.

[bleak ibex]

Everything you doing now is for the first Christmas

[oak chasm]

Now, what does the second part tell us about Dad and Mom?

How many years older than Mom is Dad?

[alpine sable]

Phh

Opps

5

Years

[oak chasm]

OK, so if Dad is 30 years older than Lara, how many years older than Lara is Mom?

[alpine sable]

25

[oak chasm]

Good!```
Emma = Lara + 3
Mom = Lara + 25
Dad = Lara + 30

Now, for the second Christmas, Emma is 1/3 of her mother's age, right?

[alpine sable]

Yes

[oak chasm]

3 Emma = Mom
3 (Lara + 3) = Lara + 25

See how we write the first equation and then fill it in with their ages in terms of Lara?

Now it's a one variable equation.

Solve for how old Lara is the second Christmas.

[bleak ibex]

But why aren't you accounting for the time elapsed?

[oak chasm]

@alpine sable What do you get?

@bleak ibex Because we're trying to get everyone in the family's age in terms of years older than Lara right now.

[bleak ibex]

Ahh, got it

[alpine sable]

Um

5 min

[oak chasm]

OK

[alpine sable]

Why 3 though

For 3 uears

[oak chasm]

Well, it's 3 times Emma's age is Mom's age, right?

[alpine sable]

Phhh

Because

1/3

[oak chasm]

Right, so ```
Emma = 1/3 Mom
3 Emma = Mom
3 (Lara + 3) = Lara + 25

Do you see how I got that?

[alpine sable]

Yes

[oak chasm]

OK, solve the last one for Lara's age.

[alpine sable]

25= older than laura

Right?

[oak chasm]

Yes, Mom is 25 years older than Lara

[alpine sable]

Yes

[oak chasm]

So, how old is Lara this second Christmas?

[alpine sable]

Idk the time in years though

[oak chasm]

Yes, solve the equation to get that.

[alpine sable]

Oh

3 Emma = mom?

This one?

[oak chasm]

Nope, third one.

3 (Lara + 3) = Lara + 25

[alpine sable]

Oh

Soo

Am I just literally solving for that

[oak chasm]

Yes.

Solve for Lara.

[alpine sable]

Is Lara = to Lara as in 3 years old

[oak chasm]

No, that's the first Christmas.

[alpine sable]

So 6

Wait

Um

I'm sorry

[oak chasm]

Do you know how to solve 3 (Lara + 3) = Lara + 25?

[alpine sable]

Like as in expand?

[oak chasm]

Yes, do that to the left.

What equation do you get?

[alpine sable]

Without accounting for laura=, yet

Ok

[oak chasm]

What?

[bleak ibex]

Rn, Lara is a variable

[alpine sable]

Yes

[oak chasm]

Don't skip ahead, please.

[alpine sable]

That's what I meant

[oak chasm]

Don't guess at what her age is.

Solve the equation.

[alpine sable]

Alright

8

Idk

[oak chasm]

Good.

[alpine sable]

Wait

Yaay

[bleak ibex]

Correct

[oak chasm]

So, how old is Jason that second Christmas?

[bleak ibex]

12

[alpine sable]

12

[oak chasm]

How much older is Jason than Lara?

[alpine sable]

4

[oak chasm]

Emma  = Lara +  3
Jason = Lara +  4
Mom   = Lara + 25
Dad   = Lara + 30

Now we have all five family members in terms of Lara.

So write that down (you should have wrote down the work you did, too)

Is it written down?

[alpine sable]

Yes

[oak chasm]

OK, now the parts will be much easier.

Let's do part a.

In part a,

Jason = 12

Replace Jason with Lara + 4.

Find out how old Lara is.

How old is Lara?

[alpine sable]

Jason is 4 years older than laura?

[oak chasm]

Yes, look at the equations I had you write down.

[alpine sable]

Soo

Isn't laura just 8

[oak chasm]

Yes.

Now, whose age do we want in part A?

[alpine sable]

Oohhh ok

[oak chasm]

So, what do you get?

[alpine sable]

Emma

[oak chasm]

Right. What's Emma according to our equation table?

[alpine sable]

Sorry my mum wanted me to do somthing

Ty for being so patient

[oak chasm]

No problem.

@alpine sable What's Emma according to our equation table?

[alpine sable]

Oops sorry that's just for reference

11

Emma is 11?

[oak chasm]

Right.

So, that's the answer to part A.

Now, part B.

Write an equation for part B:

Mom = Lara + Emma + Jason

Do you see how that's the right equation for part B?

[alpine sable]

Ahh yes

[oak chasm]

OK, replace everyone with their formula from the equation table.

What do you get for the equation?

Don't skip ahead to the answer.

Just tell me what the equation is with everything replaced by stuff in the table we wrote.

[alpine sable]

Im walking rn so I'll have to do in my head

[oak chasm]

OK.

[alpine sable]

Instead on paper

[oak chasm]

Do it on the keyboard 🙂

[alpine sable]

Yeye

I got it through the preexisting age though?

[oak chasm]

You don't know what age they are.

[alpine sable]

Like from emma

[oak chasm]

Use the equation table we made.

[alpine sable]

OHH ok

[oak chasm]

This is a new Christmas.

[alpine sable]

Oh dear

Okay then?

[oak chasm]

Mom = Lara + Emma + Jason

What is Mom on the equation table?

[alpine sable]

25?

[oak chasm]

No, Lara + 25.

[alpine sable]

?

[oak chasm]

Look at the equation table.

[alpine sable]

The one you just posted

[oak chasm]

What exactly is written for Mom?

Right.

Mom = Lara + Emma + Jason
Lara + 25 = Lara + Emma + Jason

What is Emma on the table?

[alpine sable]

Lara + 25

[oak chasm]

No, Emma.

[alpine sable]

Emma is

Lara +

3

?

[oak chasm]

Good!```
Mom = Lara + Emma + Jason
Lara + 25 = Lara + Lara + 3 + Jason

What is Jason?

[alpine sable]

Jason is

Lara + 4

[oak chasm]

Yep!```
Mom = Lara + Emma + Jason
Lara + 25 = Lara + Lara + 3 + Lara + 4

So, see how our second equation has only Lara and numbers?

[alpine sable]

Yes

[oak chasm]

OK, so it's a one-variable equation.

[alpine sable]

What is the mysterious Lara tho

[oak chasm]

Solve for Lara's age on this new Christmas.

[alpine sable]

Is it just a variable

Like x

[oak chasm]

Lara is the variable for Lara's age.

[alpine sable]

Ok

[oak chasm]

Does that make sense?

[alpine sable]

Yep

[oak chasm]

OK, so solve for Lara.

[alpine sable]

Just for reference again BC I can't be bothered scrolling lol

[alpine sable]

Solve for Lara from this one

?

[oak chasm]

Yes.

[alpine sable]

Oki

9!

[oak chasm]

Right.

So, Lara is 9. Whose age are we looking for?

[alpine sable]

Jesus that want teasing doing it in my head and on keyboard

Emma?

[oak chasm]

Read the problem.

[alpine sable]

Wait are we on the 1st question?

[oak chasm]

Part B.

[alpine sable]

Oh ok

[oak chasm]

So whose age are we looking for?

[alpine sable]

Mum

[oak chasm]

And what is Mom on the equation table?

[alpine sable]

+25

[oak chasm]

And how old is Lara?

[alpine sable]

8?

[oak chasm]

No, we took a while to figure it out, and it wasn't 8.

[alpine sable]

9

[oak chasm]

Right.

So,

Mom = Lara + 25 = 9 + 25

See how I replaced Mom with the equation table entry?

Then I replaced Lara with Lara's age?

[alpine sable]

Hmmm

Oh

So we are slowly losing variables

[oak chasm]

No, first, we write what we're looking for, then we replace anyone who's not Lara with the equation table entry, then we replace Lara with Lara's age.

Does that process make sense?

[alpine sable]

So replace

That

[oak chasm]

Sorry?

[alpine sable]

Ahh

Sorry ignore that

Ok

OHH ok

Can I substitute the names?

[oak chasm]

How?

[alpine sable]

Or no

For their ages?

[oak chasm]

Well, maybe.

Yes, you can do that, but that doesn't answer whether you understand the process.

[alpine sable]

Oh

Ok

Soo

9 + 11 + 12 = mom

[oak chasm]

No.

[alpine sable]

Damn

[oak chasm]

Let's start part B over.

What's the equation with variables in it for the statement part B makes?

[alpine sable]

For mom=?

[oak chasm]

What statement does part B make?

@alpine sable Sorry,, channel is busy.

[alpine sable]

How old was the mother when her age was the sum of 3 children

[oak chasm]

Right.

What equation is that?

Stuck?

[alpine sable]

Yes

Sorru

[oak chasm]

OK, what information does it want?

[alpine sable]

3 children's ages?

[oak chasm]

No.

[alpine sable]

Mothers age

[oak chasm]

Yes.

What information does it give?

[alpine sable]

??

[oak chasm]

Sorry?

[alpine sable]

That her age is the sum of 3 children's ages

[oak chasm]

Right.

So, see "is"?

[alpine sable]

Sorry it's just for reference I keep forgetting

Pardon?

[oak chasm]

Do you see "is" in your statement?

[alpine sable]

Is?

Oh

Yes

[oak chasm]

That's the equal sign in the equation.

What's on the left of the equal sign?

[alpine sable]

Oh oki

Mom = sum of 3 children?

[oak chasm]

Yes.

What's the right side in terms of the variables we've been using?

[alpine sable]

Mom = Lara + Emma + jason

Opps

[oak chasm]

Yes.

[alpine sable]

Oh

Alr8ght

[oak chasm]

So that's how you get the equation.

[alpine sable]

Ues

[oak chasm]

Now see all the variables that aren't Lara?

[alpine sable]

What do you mean?

[oak chasm]

Do you see the variables in your equation?

[alpine sable]

Yes?

Emma and Jason?

[oak chasm]

Do you see the ones that aren't Lara?

Try again.

[alpine sable]

Dad?

Opps

Wait no

Lmaoo

[oak chasm]

Look at your equation.

[alpine sable]

Forget I said that

[oak chasm]

Go through the variables one by one.

[alpine sable]

Idek

[oak chasm]

Sorry?

[alpine sable]

Like numbers

[oak chasm]

What?

[alpine sable]

Idek= I don't even know

[oak chasm]

Yes, I know.

[alpine sable]

Oh

[oak chasm]

I don't know why you said that.

[alpine sable]

Idek the variables is what I meant

[oak chasm]

Look at your equation. How many variables are in it?

[alpine sable]

Like idk what ones your talking about

4

[oak chasm]

OK, look at each variable, starting from the left.

Which ones aren't Lara?

[alpine sable]

Huh?

[oak chasm]

Look at each variable, starting from the left.

[alpine sable]

Wouldn't it just be Emma Jason and mom

Oh

[oak chasm]

Yes.

[alpine sable]

Mom

[oak chasm]

Go on.

That's the first one that's not Lara.

Go to the next one.

[alpine sable]

Emma

[oak chasm]

Right.

What else?

[alpine sable]

Jason

[oak chasm]

OK, now replace all the ones that aren't Lara with the equation table entry.

[alpine sable]

Mom= emma+jason?

[oak chasm]

No.

What's the equation?

[alpine sable]

Mom = Lara + Emma + Jason???

[oak chasm]

Yes.

You remember how you figured out which ones weren't Lara?

[alpine sable]

Umm

No not really if I'm being honest

[oak chasm]

You don't know how to look at a list of things and figure out which ones aren't Lara?

Like if there are four people in a row, you can't figure out which ones aren't Lara?

[alpine sable]

Yes

Lmao

[oak chasm]

Then what's the problem?

[alpine sable]

And I said
Mom Jason

And emma

[oak chasm]

Right.

[alpine sable]

That went lara

[oak chasm]

But you also said you didn't know how.

[alpine sable]

We have gone through this tho

So I keep getting confused

Ok

So why are we substituting Lara out?

[oak chasm]

We want to get the equation to have only one variable.

[alpine sable]

Ok

[oak chasm]

We do that by replacing everything that's not Lara with its entry on the equation table you wrote down a long time ago.

Leave Lara alone.

Replace the other three with their equation table entries.

[alpine sable]

Alright Lara is left alone

So now sits jist mom Emma and Jason?

[oak chasm]

What?

Did I say to erase Lara?

[alpine sable]

Oh ok

[oak chasm]

No, hold on.

[alpine sable]

No

[oak chasm]

What does replace mean?

[alpine sable]

Literally replace

Ol

So

Guys

I need some help

Can i send a picture here

[full wasp]

please use a different channel

[alpine sable]

Ok

Mom= 9+Emma+jason?

[oak chasm]

@alpine sable No.

[alpine sable]

Damn

[oak chasm]

What did I say to replace?

[alpine sable]

Lara

[oak chasm]

No.

[alpine sable]

Omg sorry

Everything that's not Lara?

[oak chasm]

Yes. With what?

[alpine sable]

Their

Entrys

Like these ones:

[oak chasm]

Right.

[alpine sable]

Ok

[oak chasm]

So, replace everything that's not Lara with their entries in the equation table.

[alpine sable]

What entry's though like isn't there multiple

Or is it how old they are?

[oak chasm]

Look at an entry.

What does the entry say?

[alpine sable]

Emma=lara+3

[oak chasm]

Right.

[alpine sable]

Jason=lara+4

[oak chasm]

So, you can replace Emma with Lara + 3.

You can replace Jason with Lara + 4

[alpine sable]

Emma + 3

[oak chasm]

Sorry?

[alpine sable]

Um

Yeah I'm lost again

[oak chasm]

OK, what's your equation for part B?

[alpine sable]

Hmmm

What

How is Emma + 3 and Jason + 4 not right?

[oak chasm]

Right for what?

[alpine sable]

Or am I literally just doing

Emma = Laura + 3

[ocean seal]

Chai T. Rex

[alpine sable]

No I don't think I did

[oak chasm]

Oh.

[alpine sable]

Sorry

[oak chasm]

OK, if you have something equal to something else, you can replace something with that something else.

[alpine sable]

Ok

[ocean seal]

Chai T. Rex

[oak chasm]

See how I replaced a with 3b?

[alpine sable]

Hmm

Yeah ig?

[ocean seal]

Chai T. Rex

[alpine sable]

Hey chai

Do you mind if I go and eat dinner

Just got back home

[oak chasm]

Yes, that's fine.

[alpine sable]

Alright

Thanks man

I rlly appreciate you and your time and sorry lol

[oak chasm]

Well, we'll have to talk about how you can replace something with what it's equal to.

[marble otter]

how do u solve this?

[full wasp]

yooo its dream

[oak chasm]

@marble otter What's the formula for interior angles of a convex or regular polygon?

[marble otter]

(n-2)x180

[oak chasm]

That's the sum of the angles, yes.

So, there are six angles. What's their sum and then what's one of them?

[marble otter]

the sum is 720

[oak chasm]

Good.

What's one of them?

[marble otter]

720/6=120

[ocean seal]

Chai T. Rex

[oak chasm]

@alpine sable Sorry, channel is busy.

@alpine sable Sorry, see the timestamps on the last chat and whether the chat is done.

If it's been long enough of they finished in a channel, you're good there.

[ocean seal]

Chai T. Rex

[marble otter]

180?

[oak chasm]

Nope.

What kind of angle is it?

[full wasp]

oof

[marble otter]

isoselece

[oak chasm]

That's a triangle.

[woeful pulsar]

hmm try inscribing it in a circle

[oak chasm]

@marble otter I mean the angle, not the triangle.

[marble otter]

oh 120

[ocean seal]

Chai T. Rex

Chai T. Rex

[marble otter]

what do u mean?

[oak chasm]

Which angle is it?

[normal mortar]

Right angle?

[marble otter]

yes

ohhhh

[bleak ibex]

Meant for dream

[marble otter]

OOOOH

120-90=30

x=30

[oak chasm]

Right.

[marble otter]

?

its correct?

[bleak ibex]

Yeah

[oak chasm]

Yes.

[normal mortar]

Okay

[marble otter]

thanks

[oak chasm]

No problem.

[fiery bronze]

How do I find the y intercept of a logarithmic function?

[bleak ibex]

Wow, that means I did this in a longer method

[oak chasm]

What's the logarithmic function?

[full wasp]

y intercept -> x is 0

so slap 0 in and go brrrrrrr

[oak chasm]

🙂

[ashen schooner]

can someone solve this please

please solve fast i have exam in an hour

[woeful pulsar]

what have you tried?

have you figured what the forces are?

[fiery bronze]

Question 10

[woeful pulsar]

what relations have you found?

[oak chasm]

@fiery bronze Sorry, channel is busy.

[fiery bronze]

Yeah

I’ll delete it

[ashen schooner]

i they have given two forces values and i need angle xp1A

i m no clue wht to do, like i m just balnk

[oak chasm]

@ashen schooner OK, so see point X?

[woeful pulsar]

what happens when you resolve the forces about x?

[oak chasm]

Write one force on the northwest line, one force on the south line, and one force on the northeast line.

[ashen schooner]

if someone can then please solve it and upload pic of working. i have been trying this ques from so long but have no idea how to solve it

[oak chasm]

@ashen schooner We can help you, but we can't do it for you.

[ashen schooner]

can you just explain me how to find the angle

[oak chasm]

Sure.

[oak chasm]

First do this.

[oak chasm]

No, numbers.

And, I guess a variable for one.

[ashen schooner]

force Ta in direction north west and force Tc in direction north easr

[woeful pulsar]

maybe send a picture of your working

[oak chasm]

Yes, I realize that those are the forces.

I mean to write numbers for them instead of just telling us how pulleys work.

[woeful pulsar]

there's a third force too

[ashen schooner]

wht is the third force

[woeful pulsar]

you only drew two of the 3 forces acting on X

obviously X isn't accelerating upwards, so what's going on?

[full wasp]

dynamics 👎

[ashen schooner]

??

[oak chasm]

@ashen schooner Yes, and write numbers or variables for the other two as well.

[ashen schooner]

the other two value are unknown
A is acting downwards5.5 and

[oak chasm]

No, write the numbers next to X.

[ashen schooner]

i dont understand ?

[oak chasm]

Do you see point X?

[ashen schooner]

yes

[oak chasm]

Do you see the line leading up and to the left from X?

[ashen schooner]

yes

will tht be 5.5

[oak chasm]

Do you see a portion of that line right next to X where you can write a number?

Yes, that's right.

[full wasp]

huh i wonder how u find AP₁X

[oak chasm]

Well, we find angle B X P_1

[ashen schooner]

this
here i dont get how cm line XP1 is 5.5 in the ques they said A is 5.5 And A will act downwards

[oak chasm]

What?

Why are you drawing lines that don't exist?

[full wasp]

yooooooo

basically like tension in the string is conserved

[oak chasm]

They don't even understand not to add wires.

[ashen schooner]

yes but shldnt A =Ta cos x

[oak chasm]

I don't think they're to conservation.

[ashen schooner]

like shouldnt A (5.5) be a component of Tension A

[oak chasm]

Where did the extra wire come from?

[full wasp]

yeah your 7.3 N wire across the top there is odd

[ashen schooner]

so here A = Ta cos x

[oak chasm]

OK, now how does a pulley work?

How does it transmit a force?

[ashen schooner]

one part goes down one part goes up

[oak chasm]

No.

[ashen schooner]

then

[oak chasm]

The force going down on the left side of pulley 1 is going up and to the left on the right side of pulley 1.

So, do you see point X?

[ashen schooner]

i dont get it at all..i give up
thanks though for the help

[alpine sable]

Is channel free

What is the limit for caffeine

[bleak ibex]

You have AE and ED how do you find AD?

[wanton turtle]

we dont have ED right? isnt 24 FD ?

[bleak ibex]

it's mentioned in the question

It's ed

[alpine sable]

By Pythagorean theorem AD=25

Then BC=25

Then again by Pythagoras theorem FC = 20

Then drop perpendicular to point F to BC

Then calculate the length of the perpendicular

By triangle similarity you can say that the ratio of the corresponding sides are equal

[wanton turtle]

oh sorry i didnt read the question properly

[alpine sable]

Then again drop a perpendicular to point F to side AD

Then calculate the length of perpendicular to point F to side AD

By triangle similarity

Then add the perpendiculars length you get AB

You get AB=50/3

And that is right answer

[bleak ibex]

Damn, u answered your own question @alpine sable

[frosty knot]

can anyone help with this

[woeful pulsar]

wait a minute, what is t?

and what have you tried?

[wanton turtle]

im assuming t is tan?

[ionic jewel]

t is probably an arbitrary variable?

never seen anyone shorted tan like that

[bleak ibex]

It happens in my country 😂

[wanton turtle]

true, but where could that variable come from?

and for the final expression im pretty sure you can make (1-t)/(1+t) equal to sec - tan IF t is tan

[bleak ibex]

And why would they take an arbitrary variable?

[woeful pulsar]

then you are left with a trigonometric identity

[wanton turtle]

ye it's just a proof right?

the question is pretty much
"Prove that (sec a - tan a) = (1 - tan a)/(1 + tan a)"

(i think)

[woeful pulsar]

yeah

[frosty knot]

t is tan1/2

a/2*

[wanton turtle]

oh ok

[frosty knot]

i believe i figured it out, i got to (t-1)^2/1-t^2

and that can simplify to (1-t)/(1+t) right

[wanton turtle]

yup you are correct

[frosty knot]

ok ty

@woeful pulsar that better

[woeful pulsar]

do you understand the question?

what looks useful to calculate first?

there's Julie and Max

you'll have to calculate for both it seems

annuity? idk

probably you want to be able to do it on your own first

before you use a online calculator to automate the process

it usually comes with a geometric series

so you'll need to be able to apply the formula for geometric series

a geometric sequence is a list of numbers with a common ratio

a geometric series is what you get when you sum number in a geometric sequence

you need it to be able to calculate

[sterile nymph]

Given f(x)=x+6 and g(x) = x-3

(a) find fg(x)

(b)find fg(2)

[woeful pulsar]

for example, 1, 2, 4, 8, 16, ... is a geometric progression
and the sum 1+2+4+8+16 = 31

but you don't have to add one by one

you can use a formula to help

it takes longer to put in a calculator

then that means you have to add every single payment into the annuity

[woeful pulsar]

composition or multiplication?

how much does the first payment contribute to the annuity

the first payment is $1250

it accrues 15 years of interest

wait, 45 years

45 years of interest

how much is that

no, because that's not how interest works

how does 5.4% annual interest work?

0.054, but you need to know how interest works

if you can't do 45 years of interest yet

how do you do 1 year of interest?

[sterile nymph]

I FINSH

If g(x) = 4-3x, solve the equation f(x) = -3

[woeful pulsar]

f is not provided

that's simple interest

what you want is compound interest

the difference is you get interest on your interest

do you want interest on your interest?

erm...

but that's what banks provide today

that's why you have to learn how to calculate it

the fastest way is...

1. derive a formula for annuity if you haven't yet
2. apply the formula whenever you see a question like this

or at least that's what I think the fastest way is

we still have to derive it

if you want a formula you would want to generalise

with a annuity contribution of P and a interest rate of r for k years

If you add everything together you should have P(1+r)^k+P(1+r)^(k-1)+P(1+r)^(k-2)+...+P(1+r)^(1)

yeah so you need to know about geometric series

because it is geometric

For that I remember the polynomial identity (x^n-1)=(x-1)(1+x+x^2+...+x^(n-1))

[woeful pulsar]

here

well it's a variable in a polynomial identity

n is some integer

this polynomial identity is true for all positive integers n and real numbers x

1+r because it's the common ratio for x

and n is probably k

that allows you to match the formulas together as closely as possible

After simplifying you should get something along the lines of P(1+r)((1+r)^k-1)/r, which you still have to apply interest for 30 years to see what happens at 65 years old

well, math literally builds on itself

[ionic jewel]

to be fair the formula you just derived will be the same idea for all the other questions

[woeful pulsar]

so what you learnt previously is used a lot when you learn more

maybe learn some foundations

Khan Academy is what I know

you can potentially go there to learn stuff

getting less than A is a math class is a sign you are missing a lot of stuff tho

like enough to mess up foundations

[wanton turtle]

We won't, but there's a chance you will

[ionic jewel]

god forbid you ever have to render something

[woeful pulsar]

oof

yeah rendering is lots of math under the hood

[ionic jewel]

you can live life and not understand how a lot of it works, but we like math here so seeing stuff like this makes us sad

good luck in the future tho

you won't, but it's possible it will make some things harder

you need math you already completed, most of the stuff you are doing now and would be in the future is "extra"

you can be fine without it

[woeful pulsar]

plz don't cheat

your classmates grades may be devalued if you cheat

it's not just about you

would you want to be in a university where all your classmate cheated?

but that means your degree has no value

[ionic jewel]

my current class is literally graded by standard deviations off the mean

cheating is simply unethical/misrepresentation of your skill

it's not supported here

this is a pointless discussion

I'm pretty sure ur gonna cheat anyways whatever I say so I don't see the point

[woeful pulsar]

cheating is a pretty serious academic offense, if it runs rampant it would devalue all the degrees. If it's one or two cases which is not caught, it may incentivise more, and more means more devaluing of degrees

[harsh acorn]

you look so stressed judas

[trim totem]

Stressed 😫 too cortisol level increased

[tall swallow]

I know it says no help for tests, but its just homework and i really cant solve this, can someone help me please :(

[noble bolt]

What's the language

[tall swallow]

Its german

[sharp lava]

How to find Fourier series for,

Mod(sinx)+ Mod(cosx)

[tall swallow]

Translation: you have X > 0 und E|X|^p < ∞ for p > 0 and need to prove that the middle equation is correct. then last line is a tip: use partial intergration or do X^p=[x^p]x 0

[woeful pulsar]

oh |sin(x)|+|cos(x)|?

[sharp lava]

Yes That only

[woeful pulsar]

do you know how to find the coefficients via integration?

can you set up the relevant integral?

[sharp lava]

yea i know the formulae

[woeful pulsar]

hmm integration by parts? since what we really want is the integral of x^p, not x^(p-1)

[woeful pulsar]

then can you plug it in?

[sharp lava]

Ohh yeah i got it now, Thanks man 😄

[carmine lion]

this question

is so confusing

[carmine lion]

can u help

its trig

here

,w rotate

[gray isle]

,rotate

[carmine lion]

part b

does the hence mean that i have to use the above identity?

[stark lantern]

A+B+C = pi in any triangle, should be simple from there

yes

[noble bolt]

^

[carmine lion]

oh

that crossed my mind

but i ruled it out cuz of the tans

ah

rip me i guess

[tall swallow]

So no one can help me here? :(

[noble bolt]

I don't get what to do in your question

[candid ferry]

it's not in english

[tall swallow]

U have to proof that the middle equation is correct

[woeful pulsar]

have you tried integration by parts?

[tall swallow]

i don't how to do it with that EX(p)

[candid ferry]

p is a constant right?

[woeful pulsar]

you have an integral, you can integration by parts it?

[tall swallow]

yes

[tall swallow]

okay gonna try that now

ty :D

[feral wind]

is this channel free?

[empty mountain]

ys

[feral wind]

right, i already posted a question in #calculus can someone look at it? posted what i've tried as well

and added some sketches for people to see where i got my answer

is for this exercise, the explanation of my answer was also posted along with the image, should i post it here as well?

[silk terrace]

Does anyone know how to get complex numbers as polar form in wolfram?

[rich basin]

,w 2 + 3i in polar

[ocean seal]

Results provided by WolframAlpha

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

Requested by Roenbaeck#4166

[feral wind]

@waxen shadow don't post the same question in different channels, all you are doing is making people ignore you

[modern aurora]

and hes posting his exam thought :)

nope, thats illegal

i-.

[glossy nymph]

e^(-x)= x+3

How do I solve for x here?

[rough spear]

try ln both sides

[glossy nymph]

Did

But that just leaves me with 1/x=ln|x+3|

[fiery bronze]

how much do you think ln(e) is?

[glossy nymph]

What next?