What are those symbols lol
#help-0
distant ivy
lone heartBOT
Please read #❓how-to-get-help
lament ferry
propositional logic, discrete math
distant ivy
I’m sorry I don’t think I’m at that level of math yet
lament ferry
anyone else?
shadow verge
Do u mean Y has (0-8)
And
X has (0-7)
This making it 998
distant ivy
Do u mean Y has (0-8)
And
X has (0-7)
This making it 9*9*8
x has 1-9
x cannot be 0, you’ll get a 2 digit number
y has 0-9
It can be any number between this except for “x”
so let’s say x is 7
That leaves y with 0-9 excluding 7
Hence, instead of 10 possibilities you’re left with 9
Sorry if my explanation is odd I haven’t taken stats classes
shadow verge
so let’s say x is 7
That leaves y with 0-9 excluding 7
Hence, instead of 10 poss...
Then why is the last one 8?
distant ivy
Because it’s also 0-9
But since x and y are both taken
10-2 = 8 possibilities
shadow verge
Oh ok I understand
Wait nvm
Does anyone know how to do the second one
<@&286206848099549185>
distant ivy
Is it 64?
shadow verge
No
shadow verge
I think I do
shadow verge
Yup
distant ivy
Whew
shadow verge
Genius
distant ivy
Again I apologize for anything that sounds off i haven’t taken stats courses
distant ivy
I will try my best to understand
Lol
distant ivy
Ok so first things first let’s take the example of
XYZ
It says the numbers that are 700 or greater. Which means x has to be either 7,8,9
Also, “Z” has to be either (1,3,5,7,9) for the number to be odd (for example: 705)
Let’s take all the possibilities:
7YZ
If x is 7, then “z” is either (1,3,5,9). Which means 4 possibilities for “z”
Since Y is in the middle, it doesn’t matter if it’s even or odd.
It ranges from (0-9)
But two of the numbers are taken by x&z. That leaves us with 8 combos
That makes up 8x4 = 32 numbers that begin with “7” with odd and different
Do the same thing for 8
You get
8YZ
“Z” now has 5 possible combinations, since X is even
Y again has 8 since one is taken by x and other by z
8x5 = 40
For 9:
9YZ
Z now has again 4 possibilities. Y again with the 8
8x4 = 32
32+32+40 = 104
shadow verge
Holy shit
distant ivy
Basically I took the possibilities of the number being 700- something
800- something and 900-something
shadow verge
And added it up
shadow verge
Can u do this method for the first question?
Wait
Why did u do 84 and 85
Bruh wuts with discord
8 times 4 and 8 times 5
distant ivy
Can u do this method for the first question?
Yes
shadow verge
Why 8?
distant ivy
There are 5 possibilities for z and 8 for y
You need to find how many possible combinations of that there are
Imagine you have 2 numbers and each have 3 numbers possible
There would be 9 combinations
shadow verge
Oh ic
distant ivy
Why 8?
Bcz y can be any number it’s free, it’s in the middle. But it cannot be repeating, hence not whatever x is or z is
So from 0-9
Remove 2 of the numbers
shadow verge
Ty man so much 🥹
distant ivy
Anytime man
shadow verge
.close
slim yarrow
lone heartBOT
lone heartBOT
@slim yarrow Has your question been resolved?
lone heartBOT
@slim yarrow Has your question been resolved?
median oar
In the case that T is a vector function does var(T) become a covariance matrix?
lone heartBOT
In the case that T is a vector function does var(T) become a covariance matrix?
@median oar Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
wintry gazelle
This is the question that i made myself, but i havent fully solve it
I proved (i) by consider the range manually for f(x), f²(x), f³(x), etc. and show that the initial minimum and maximum of f^n(x) will swap at f^n+1 (x).
But now idk how to prove that both minimum and maximum of range converges to a single value (question ii). I tried to make my life easier by only consider 2nd case of range (even n), but still idk how to continue
Note that i know how to find the value of l after the limit is proven converge, but i need to prove the converge itself at the first place
wintry gazelle
For notation sake, f^n(x) is same as f(f(f(...(f(x))...))) where f(x) self composited n times
lone heartBOT
@wintry gazelle Has your question been resolved?
wintry gazelle
Im thinking of probably show that f^n+1 (1) > f^n-1 (1) and f^n(cos 1) < f^n-2(cos 1)
Aka new minimum > old minimum and new maximum < old maximum
Then show that min and max converges seperately to their respective value
Lastly show that they converge to same value
But idk where to start tho
wintry gazelle
<@&286206848099549185>
lone heartBOT
@wintry gazelle Has your question been resolved?
lone heartBOT
@wintry gazelle Has your question been resolved?
lone heartBOT
@wintry gazelle Has your question been resolved?
wintry gazelle
<@&286206848099549185>
upbeat hornet
you could try asking in #calculus or #real-complex-analysis for faster or more accurate help
alpine sable
Whats the easiest way to factor cubic polynomials
lone heartBOT
Whats the easiest way to factor cubic polynomials
alpine sable
For example this
echo socket
Find out its roots if possible
Here the coefficients are integers, so you may apply rational root theorem
echo socket
No, you will have a rational function there
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
hot wadi
For example this
You can use a calculator to find a integer root of equation
you will find a integer root of equation is: x=-2
Can you make it to this step? @alpine sable
lone heartBOT
@alpine sable Has your question been resolved?
hot wadi
you will find a integer root of equation is: ***x=-2***
Then use a solution method named: "Horner schema"
Hey @alpine sable
@alpine sable
hot wadi
Hey @alpine sable
alpine sable
Ok Tyy!
alpine sable
Yes
lone heartBOT
@alpine sable Has your question been resolved?
modern gorge
lone heartBOT
cold frigate
Triangle MNO and triangle PQR are shown on the coordinate plane.
What sequence of transformations proves ΔMNO ~ ΔPQR?
OPTIONS
1) ΔMNO was rotated 180° clockwise about the origin, then dilated by a factor of 2 about the origin to form ΔPQR.
**2)**ΔMNO was translated up 6 units, then dilated by a factor of 2 about the origin to form ΔPQR.
**3)**ΔMNO was reflected across the x-axis, then dilated by a factor of 3 about the origin to form ΔPQR.
**4)**ΔMNO was reflected across the y-axis, then dilated by a factor of 3 about the origin to form ΔPQR.
nimble latch
what do u think is the answer
nimble latch
yea
cold frigate
so that's the answer?
nimble latch
yea
merry arch
I've attached my work and a key of what I'm suppose to do. I got the equations, and was able to graph the quadtratic, but that's all. How do I graph the linear equations? Everytime I do, I seem to get the wrong point (i've erased them and forgot to take pictures).
lone heartBOT
I've attached my work and a key of what I'm suppose to do. I got the equations, ...
@merry arch Has your question been resolved?
grand umbra
FYI the photo of your work is a file that does not open
lone heartBOT
merry arch
.reopen
lone heartBOT
✅
merry arch
FYI the photo of your work is a file that does not open
do u know how i could fix it?
wild umbra
I've attached my work and a key of what I'm suppose to do. I got the equations, ...
you know the ques
you need not to open the file
file contains his work
ques is right there
merry arch
merry arch
I've attached my work and a key of what I'm suppose to do. I got the equations, ...
<@&286206848099549185>
wild umbra
whats the answer?
merry arch
there is no answer?i just need help graphing the linear equations
smoky adder
Substitute something greater than 7/2, 7/2, and then something less than 7/2 in for k. It's in slope intercept form, so your lines will have the same slope but hit different points on the y axis (whatever you choose for k)
merry arch
so would i use -8k+28 or y=2x+k?
smoky adder
Second one
merry arch
so y=4 if i decide to do k=8/2 (4)?
smoky adder
You're not necessarily solving for y, just graphing the line.
Try getting out a separate sheet of paper and graphing the line y=x, then y=x+3, then y = 2x
merry arch
okok
smoky adder
Then go back and graph y = 2x + (>7/2), y = 2x + 7/2, and y = 2x + (<7/2)
keen pagoda
I dont know much about the subject, but perhaps this can be of help https://majicdesigns.github.io/MD_MIDIFile/page_timing.html
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
frigid pendant
I have a question
lone heartBOT
I have a question
frigid pendant
Is there a mathematical function that maps a finite set of numbers to a infinite set of number?
if so: would be there an hasing algorithm that has NO hash collisions ever (or near no because of a VERY LARGE finite set of numbers mapped to a small finite set of numbers (the pigeonhole principle states that it takes a specific time to compute all possible inputs and outputs to the hashing function because there are so many pigeonholes to fill first) => that would result in a very long time to compute all possible computational results of the finite very large such set to a small finite set such we can store in a reasonable physical disk space
a infinite set never has pigeonhole collisions because there "always enough free pigeonholes" because there INFINITE pigeon holes
like imagine there would be an infinitely large wall and you were at some random position in this infinite space. if you throw a dart against this wall you will never hit another dart thrown before
the wall meets one of these conditions:
- the wall is infinetely small such/zero/nothing that you can zoom out and into forever
- the wall is infinetely large such that you can zoom out and into forever
remote heron
is there a mathematical function that maps a finite set of numbers to a infinite set of numbers?
wouldnt this violate the defn of a function
frigid pendant
> is there a mathematical function that maps a finite set of numbers to a infini...
please ellaborate
remote heron
a function must map any element in the domain to only one element in the codomain
frigid pendant
a function must map any element in the domain to only one element in the codomai...
only infinite sets like all natural or rational numbers follow this rule
remote heron
i have no idea what youre talking about with the rest
remote heron
only infinite sets like all natural or rational numbers follow this rule
this is not a property of sets, is a property of functions
maybe you are envisioning something else that does this mapping but its not a function
frigid pendant
this is not a property of sets, is a property of functions
is there a bijective function that maps a finite set of numbers to another finite set of numbers if the size of the codomain is smaller than the domain?
only if the size of the finitecodomain is bigger than the size of the domain set
remote heron
is there a bijective function that maps a finite set of numbers to another finit...
no
frigid pendant
why not?
remote heron
use pigeonhole
every element of the domain has to be mapped to an element in the codomain
frigid pendant
exactly 😄
remote heron
there are fewer elements in the codomain than the domain
frigid pendant
this cant be
remote heron
you just said so 👀
frigid pendant
because of the pigeonhole principle
remote heron
idk in what way youre misapplying it
frigid pendant
are the digits of pi truly random?
is it like actually a infinitely long set of random numbers which patterns cannot be extracted to a function that describes the patterns
vocal quiver
Let f : N -> {0 ... 9} be the function that returns the nth digit of pi :)
frigid pendant
is there a uncalculateable array of numbers that has no repeating patterns
median oar
You could try random number generators is that what you want?
frigid pendant
Let f : N -> {0 ... 9} be the function that returns the nth digit of pi :)
wait is here n a number which is a element of the infinite set of natural numbers that maps to the finite set (0,1,2,3,4,5,6,7,8,9)?
remote heron
yes
frigid pendant
then how could i go from the finite codomain to all element of the infinite domain
remote heron
go?
frigid pendant
i can only throw 10 pigeons in the base 10 number system to a infinitely big grid of pigeonholes
so it just cant fill all the infinitely many states
vocal quiver
You can have a function with a finite domain and infinite codomain, it just can't be a surjection.
frigid pendant
can you give me a proof why?
if every number in a infinite set would be mapped to a random number in the finite set
remote heron
can you give me a proof why?
what specifically are you asking for a proof of
vocal quiver
I'm talking about a function from a finite set, to an infinite set
What you suggested is the opposite
frigid pendant
if the domain is smaller than the codomain of a function then the function cannot be surjective
right?
vocal quiver
If by smaller you mean smaller cardinality, then yes, although you might need choice to prove it for arbitrary sets.
frigid pendant
ellobarate the last part please
vocal quiver
Suppose |A| < |B|. If you assume the axiom of choice then the existence of a surjection from A to B means that |B| <= |A|. Then since |A| <= |B| from cantor schroeder bernstein you have |A| = |B|, a contradiction to the fact that |A| < |B|. So there cannot be such a surjection.
But for a finite domain you don't need any of this, you can just use induction.
If A = {a_1, ..., a_n} is finite then the image of A is {f(a_1), ..., f(a_n)} which is also finite as it has at most n elements.
lone heartBOT
Available help channel!
alpine sable
can someone explain me pls how vectors in physics which means quantity (arrow) that has magnitude and direction which you can draw wherever you want and vectors in math which means whatever that you can add to other "whatever"and multiply by the number is the same things because i really dont understand that(sorry for my english )
young finch
principles of vector math are the same in physics for the most part
just different concepts I guess
and vectors in math don't always have to be physical
alpine sable
yeah but i dont understand how it connects together
gloomy wolf
What do you think a vector is?
tardy stag
vectors (physics) obey the axioms of vectors (mathematics)
the mathematical vector is kind of a generalization of the idea of a physics vector, in that sense
alpine sable
What do you think a vector is?
my problem is that i actually cant understand what vector is
gloomy wolf
yeah but i dont understand how it connects together
I like to think of a vector as the diagonal of an n-dim rectangle
alpine sable
but in math even a real number is a vector
gloomy wolf
Right, the diagonal of a 1-d rectangle (height 0)
All the rules of vectors still apply
Just for real numbers, there are only two directions
Left (-) and right (+)
In 2-d (R^2) you have infinitely many directions, one for each angle of the unit circle
And in R^3 you have even more, because you can travel away from the origin in a sphere
We can’t really draw 4-d and higher on paper but vectors in those contexts behave the same way algebraically as the lower dimensional ones we can easily visualize
4-d vectors are super common in physics though, and you can’t draw them (on one piece of paper) 🙂
prime folio
someone please help me with this question idk if i did the correct working out
prime folio
solemn juniper
close, you just compounded for one year too many
he invests his first 1000 at the end of the first year, meaning it compounds for three years
ocean pagoda
lone heartBOT
https://i.imgur.com/nRIXJEj.png
frozen tiger
Im getting (x-4y)(x+y)/x(x+3y)
can you show your solution?
ocean pagoda
oh I factored all terms and let them cancel out
frozen tiger
oh I factored all terms and let them cancel out
can you like
write it down and show a picture
ocean pagoda
sure but my process is pretty messy
frozen tiger
<@910426153217581057>
um, the x^2+3xy
has a -28y^2
before it
You sort of missed that
ocean pagoda
oh my fucking god
frozen tiger
and you also missed the 3y when factoring x^2+3xy
ocean pagoda
wait no hold up
ok so yeah
i dumb
thanks bro
was so confused where the hell a 7 came from
frozen tiger
now close the channel
ocean pagoda
.close
craggy spire
lone heartBOT
frozen tiger
how would i do tis
hm
4z-6 and z+11>0
just find the minimum value there
seems like 4z-6>0 is the inequality to solve
since any solution to that would produce a nonzero value for z+11
craggy spire
since any solution to that would produce a nonzero value for z+11
4
would that work
as z
frozen tiger
would that work
4 would work, yes but there's a smaller value
craggy spire
nvm you got it
So it is 1.5?
frozen tiger
So it is 1.5?
it is
lone heartBOT
@craggy spire Has your question been resolved?
humble fog
if you have a diamond like this, how do you calculate the correct tangents that will give you a circle
humble fog
the result would be this
each point has an inTangent = [x,y] and an outTangent = [x, y]
which are coordinates offset from the respective point
so [100,0] on point 1's inTangent would position it 100 pixels to the right of the point
humble fog
oh, im just going by the name they're called in the program
these are them on display visually
4 points, 8 tangents/secants
@molten pivot when the radius of the circle is 100 pixels, the standard value for the tangents is 55.25. does this number have any significance to you?
lone heartBOT
@humble fog Has your question been resolved?
steel olive
lone heartBOT
steel olive
why is x taken as 1 here
gloomy wolf
Because it’s at the point (1,2)
molten pivot
Lol
steel olive
also if this said curve was a circle,how to get the second tangent
gloomy wolf
It’s not a circle but the answer is implicit differentiation
steel olive
no like if im given a circle then
could u exlain with an example
let the circle be x^2 + y^2 - 4x - 8y -5 = 0
gloomy wolf
I’m gonna do x^2+y^2 = 1
Assume the equation defines y as a function of x.
Differentiate on both sides
$\dv{(x^2 +y(x)^2)}{x} = 0$
ocean sealBOT
JamesH
gloomy wolf
Then don’t forget chain rules
We get $2x + 2(y(x))y’(x)=0$ now solve for y’ in terms of x and y
ocean sealBOT
JamesH
steel olive
what is y'
gloomy wolf
The derivative of y wrt x
steel olive
ok
gloomy wolf
Since it’s a function of x we need chain rule which is why y’ shows up
Once you solve you should have $y’(x) = - \frac{x}{y(x)}$
ocean sealBOT
JamesH
gloomy wolf
Take the derivative on both sides. In the right you’ll need quotient and chain rules
On the left you’ll have y’’
I assume that’s what you meant by second tangent (second derivative)
steel olive
thnx a lot
lone heartBOT
@steel olive Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
warped topaz
lone heartBOT
https://i.imgur.com/PuArsua.png
warped topaz
I want to find a video that explains all of this better, but if I search 'direction and support vector' or anything like that in youtube I cannot get any relevant results, does it have a different name or something?
lone heartBOT
@warped topaz Has your question been resolved?
warped topaz
.close
cinder sundial
lone heartBOT
cinder sundial
the key for that question is we have to get the ratio between these intergral
from the the perspective of geometry
what does the input x being doubled indicates on the graph?
echo socket
Is there nothing else given about f/its graph?
echo socket
With a substitution you can show that $\int_0^1f(2x)\dd{x} = \frac12\int_0^2f(x)\dd{x}$
cinder sundial
here's a poor diagram i drawn
ocean sealBOT
A Lonely Bean
echo socket
So that's gonna be half the area from 0 to 2
cinder sundial
**A Lonely Bean**
what
echo socket
Substitute for 2x
cinder sundial
So that's gonna be half the area from 0 to 2
how do u know?
echo socket
how do u know?
That's the meaning of $\frac12\int_0^2f(x)\dd{x}$, no?
ocean sealBOT
A Lonely Bean
echo socket
Anyway, the value of $\int_0^1f(2x)\dd{x}$ can't be determined of the only information about $f$ that we know is the value of $\int_0^1f(x)\dd{x}$
ocean sealBOT
A Lonely Bean
echo socket
**A Lonely Bean**
So here you just plug in the value of $\int_0^2f(x)\dd{x}$ and get $\int_0^1f(2x)\dd{x} = 4$
ocean sealBOT
A Lonely Bean
echo socket
For the other integral you can do a substitution as well, substitute for x/2 this time
cinder sundial
**A Lonely Bean**
i still have no clue about how you get that equation
cinder sundial
**A Lonely Bean**
"plug in the value"
echo socket
i still have no clue about how you get that equation
Did you try substituting like I said?
cinder sundial
do you mean sth like putting x=2x into f(x) then it become f(2x)
im not sure what you mean by substituing
echo socket
Say $u = 2x$, then $\dd{u} = 2\dd{x}$ and we have
[ \int_0^1f(2x)\dd{x} = \int_0^2f(u)\frac{\dd{u}}2 = \frac12\int_0^2f(u)\dd{u} ]
$u$ is just a dummy variable, what we call it doesn't really matter, so we can rewrite the latter as
[ \frac12\int_0^2f(x)\dd{x} ]
We know that $\int_0^2f(x)\dd{x} = 8$, so the answer to the first integral is:
[ \int_0^1f(2x)\dd{x} = \frac12\int_0^2f(x)\dd{x} = \frac12\cdot8 = 4 ]
ocean sealBOT
A Lonely Bean
cinder sundial
**A Lonely Bean**
i think that method is called "u-substitution"
echo socket
Undoubtedly
cinder sundial
im sort of a expert at this method, but i wonder if i can solve it through geometry
cinder sundial
Undoubtedly
also what do you want to use "u-substitution" here? how do you know u-substitution could be applied to solve this question
echo socket
im sort of a expert at this method, but i wonder if i can solve it through geome...
Visually imagine the graph of f from 0 to 2 getting squished like you drew earlier
The resulting area is the same as the area of f from 0 to 2, but since it got squished, we divide it by 2
cinder sundial
The resulting area is the same as the area of f from 0 to 2, but since it got sq...
how do you know it is "divided by 2"?
echo socket
Like I said, the area gets squished from (0, 2) to (0, 1)
cinder sundial
Like I said, the area gets squished from (0, 2) to (0, 1)
but it is a unknown pattern
echo socket
Well solve the integral algebraicly then if you are skeptical
cinder sundial
The resulting area is the same as the area of f from 0 to 2, but since it got sq...
does it implied the area after being squished by r = the original * r
echo socket
Yeah
cinder sundial
im astonished
cinder sundial
Well solve the integral algebraicly then if you are skeptical
is there a proof for this
cinder sundial
ohh the u-substitution!!
echo socket
Yes
lone heartBOT
@cinder sundial Has your question been resolved?
lone heartBOT
@cinder sundial Has your question been resolved?
alpine sable
lone heartBOT
alpine sable
How do I find the equation
upbeat hornet
You know the outputs of the function for some points
upbeat hornet
so you can substitute those points into the plane equation to find the unknown coefficients a, b, c
alpine sable
alright let me try
yeah i don't get
@upbeat hornet can you provide a step maybe
like do I create a system of equations by plugging in different points or something?
upbeat hornet
<@661915034888175618> can you provide a step maybe
consider (0, 1)
what is f(0,1), from the graph?
upbeat hornet
the orange line
there’s a number on the orange line
alpine sable
wait a minute is that the z value?
for the line
oh shit that's the level
so if it's x + y = a
a = 5 in this case?
upbeat hornet
wait a minute is that the z value?
yes
alpine sable
ah i see
upbeat hornet
so if it's x + y = a
how did you get that
alpine sable
nah ignore that part that was stupid
so to go from
(0,1) to (0,3)
i need to increase the z value by 5
so maybe i can use an increase formula?
like this?
upbeat hornet
or you can do this: since you know f(0,1) = 5, and f(x, y) = ax + by + c, you can substitute in x = 0, y = 1, then get a linear equation relating a,b,c
and then do this with a few other points and you have a, b, and c
alpine sable
or you can do this: since you know f(0,1) = 5, and f(x, y) = ax + by + c, you ca...
ohhh
makes sense
i can do that to find c then
upbeat hornet
like do I create a system of equations by plugging in different points or someth...
somehow I didn’t read this, but you’re right about it
lone heartBOT
upbeat hornet
yeah but it's gonna take a millennium i think
no, there’s a systematic way to do it
alpine sable
no, there’s a systematic way to do it
oh i see
i mean im guessing for 3 variables you need 3 equations?
upbeat hornet
.reopen
lone heartBOT
✅
upbeat hornet
i mean im guessing for 3 variables you need 3 equations?
yes
alpine sable
yea that was just a guess but
im assuming it's because you need to substitute 3 times so you need 3 equations
upbeat hornet
the idea to solve n linear equations with n variables simultaneously is this:
take one equation and multiply it by a number so that the coefficient of the first variable, x, is 1
then you can subtract this equation from all the others so that none of the others have x
and then you now have n - 1 equations without x, but with n - 1 other variables
then repeat
and you’ll eventually get down to 1 equation with 1 variable
which you can solve
alpine sable
ahhh i see
upbeat hornet
then you can substitute it into the previous ones
and keep doing this back-substitution
alpine sable
i was just winging it when i did the ones i had but i did exactly what you just said
better to have a system in mind for it tho
ty i'll save this
upbeat hornet
.close
stable grotto
how to prive this ?
lone heartBOT
how to prive this ?
stable grotto
lone heartBOT
@stable grotto Has your question been resolved?
stable grotto
<@&286206848099549185>
stable grotto
.close
twin jolt
lone heartBOT
twin jolt
I need help with 4b
I know 4a from the formula sec theta is 1 over cos theta
But idk how to do b
vale wigeon
well you've found cos(θ) = -8/17, yes?
you know cos(θ) and you know what quad θ is in, can you find sin(θ)?
wanton pebble
It can either be 2nd or 3rd
it is given in question
twin jolt
Whoops
Yeah
Um so I know it’s 2nd
But how do I find the ratio of sin
Pythagoras?
flint notch
A storage container in the shape of a cone has a base of radius r and a height of h. Write and simplify an expression for the ratio of the volume of the conical container to its surface area (including the base). For a cone,
wanton valley
!status
lone heartBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
Is the last expression the full area of a cone?
flint notch
yea
wanton valley
Owkay and where are you stuck?
flint notch
I don't know where to begin
wanton valley
What do you need to do
flint notch
A storage container in the shape of a cone has a base of radius r and a height of h. Write and simplify an expression for the ratio of the volume of the conical container to its surface area (including the base). For a cone,
wanton valley
So the second sentence how can you begin
flint notch
Yea I understand the question but I don't konw how to make a ratio of Volume and Sa
flint notch
yea but but is it just the pi/3r^2h over the SA?
wanton valley
Sounds about right
flint notch
alr I have another question
wanton valley
Keep em coming
wanton valley
Whats ur question about it
flint notch
positive
wanton valley
Not necessarily and its between odd and even
flint notch
yea mb
flint notch
alr Not necessarily and its between odd and even
flint notch
idk how 2x-3 can be odd or even
wanton valley
I mean in general
flint notch
yea Ik what odd or even is
flint notch
numbers that can't be divded by 2
wanton valley
Yes yes owkay and even is it can
So 2x-3
Divide it by two
You understand where i am going?
wanton valley
Andddddddd
flint notch
odd it is
wanton valley
It is odd
Yes
Since 2x-3 can never be a multiple of 2
You can never write it as one of... if x is a whole number
maiden glen
I got 2x-3
I think this is slightly off
3*7 doesn't give 14 so the simplification isn't right
wanton valley
You forgot -1 at the end
flint notch
yea yea
maiden glen
right yeah
wanton valley
2x-2 will always be even because you can write it as a multiple of 2
wanton valley
You too :)))
flint notch
.close
clear minnow
%I'm trying to figure out how to write a formula in which the set of X has a bijection onto Y, in which F must satisfy Y before it's number. X is for a set of infinite numbers; so that Y must be in the set of X. Can we solve this by stating that F and Y are within the same superset of X and pair them together under Y, so that we can have a bijection of X onto Y?%
%I put X as the following%
$$|X| = \aleph$$
ocean sealBOT
quark
clear minnow
<@&286206848099549185>
I'm going to bed, but please give me a response to this so I can type it up 😭
ruby current
I have no idea what you are asking
lone heartBOT
@clear minnow Has your question been resolved?
rapid plover
lone heartBOT
upbeat gorge
!status
lone heartBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
1
upbeat gorge
Do you understand the question?
upbeat gorge
u2 is 1/2, but u1 isn’t
rapid plover
then what is u1
upbeat gorge
It’s given in the equation
rapid plover
its 2u_2?
upbeat gorge
Well, yes
upbeat gorge
Note if a=b=c, then a=c
rapid plover
then u1=1
naive crystal
Also, a=b=c => b=c
You can get u2
From here
After that, you'll have u1,u2 then proceed with || n=1,2,3 to get the value of u3,u4,u5 ||
rapid plover
for n=1 i got u3=1
upbeat gorge
not quite
rapid plover
how so
naive crystal
u3 = u2÷u1
naive crystal
Yes
rapid plover
and u4=1
upbeat gorge
yes
rapid plover
i tried the same with different it is wrong
rapid plover
let me try
yes but u1 is not 2 and u2 is definetly not 1
hmm maybe i will have a talk with my teacher
lone heartBOT
@rapid plover Has your question been resolved?
vale wigeon
you should probably not doxx yourself 💀
i can see your full name
also is this a current exam?
wispy pine
Couldn’t care less tbh
glossy fox
Find the domain
(x)
wispy pine
How
It’s min and max
But sometimes is high
And other times it’s low
But then
It’s left to right
Domain to Y or X
rapid plover
update ur os
glossy fox
Yes
rapid plover
old version of macOS, u are prone to being hacked
wispy pine
Min is -11 and max is 4?
rapid plover
yes
wispy pine
old version of macOS, u are prone to being hacked
Should I delete the photo n resend?
glossy fox
-11≤x≤4
rapid plover
Should I delete the photo n resend?
jk sorry for interupting
glossy fox
How do I know if it’s X
it's just those number from left to right
wispy pine
Or if it’s <,>, or geq or leq
wispy pine
ur prob in yr 11
HOW DID U KNOW
rapid plover
ha dealt with that stuff, u have hell coming towards you my friend
wispy pine
it's just those number from left to right
Yea but sometimes it’s the numbers at the top of the graph to the lowest
marsh rune
lol
glossy fox
Yea but sometimes it’s the numbers at the top of the graph to the lowest
It's for range (y)
lone heartBOT
rapid plover
trust me graphs will get 10x harder.
wispy pine
Dude scared me
rapid plover
.reopen
rapid plover
.reopen
wispy pine
.reopen
rapid plover
not working
glossy fox
It's for range 😭
wispy pine
How do I know between x and Y
glossy fox
Domain is X
Range is Y
rapid plover
DUDE IM NOT THE BRIGHWST BULB 😭😭😭
me to
wispy pine
rapid plover
bro send clear photo
wispy pine
listen to me bro there will be questions like sin2(x+ pi/6)-1 draw the graph
This is stuff that can get me to graduate highschool completely
When I finish this I never have to go back
Skip 12
rapid plover
are u doing specialist math
glossy fox
If you don't understand
Just simply find all the coordinates of each and every point in the form of ordered pairs
then (x,y)
Domain = all x components
Range = all y components
glossy fox
For Y it would say range right?
Yes
rapid plover
I’m talking abt the domain part
send a clear photo, numbers not visible
lone heartBOT
Available help channel!
rapid plover
.reopen
lone heartBOT
U messed me😭 it was -11 geq x<4
glossy fox
Domain:
-11≤x≤4
Range:
-4≤y≤11
rapid plover
heheh
rapid plover
domain is the length of the graph horizontally ; on x -axis
range is lenght of graph vertically ;y
in domain graph starts at -11 and ends at4
wispy pine
Are the open and close circles playing a part?
rapid plover
and in range highest part is 9 and lowest is -4
wispy pine
Wrong photo
rapid plover
Are the open and close circles playing a part?
no that is called parabola
wispy pine
What is that?
wispy pine
so on this new one are is the min -10 and the max is 11?
rapid plover
si
wispy pine
So how do I find out the symbol for it
rapid plover
bro u have a mac prob u have iphonje
SEND A CLEAR PICUTRE
or take a screenshot or send
rapid plover
its near 11 and i have cllg tmmrw BRO QUICK
wispy pine
wispy pine
i also have to do 100 situps
One punch reference
rapid plover
bro send screenshot
rapid plover
One punch reference
no but still i do it
wispy pine
I DONT have discord on that
rapid plover
DOWNLOAD IT
wispy pine
Lemme log onto my phone
fading citrus
This is stuff that can get me to graduate highschool completely
What do you mean by this
rapid plover
idk
wispy pine
wispy pine
What do you mean by this
The class I’m taking let’s me skip 12th completely
@rapid plover
WYA
rapid plover
wispy pine
I’m cooked
💀😭
It’s only 2 questions
That’s why I come here for quick learning
And u guys explain it better and let me ask questions
.close
lone heartBOT
lone heartBOT
Available help channel!
wispy pine
IM HERE
wispy pine
@rapid plover
wispy pine
Is that -1 geq y geq 7
rapid plover
it is -2 geq y geq 7
rapid plover
good night
wispy pine
Good night
rapid plover
ping someone else
wispy pine
Alr
rapid plover
ur in specialist
wispy pine
What’s that
minor gulch
Can this be factored or is this a prime polynomial?
lone heartBOT
Can this be factored or is this a prime polynomial?
minor gulch
like difference of squares
looks like it but im not sure what to do with the 2 factored out
ocean sealBOT
Modus
minor needle
and so
ocean sealBOT
Modus
lone heartBOT
@minor gulch Has your question been resolved?
warped topaz
lone heartBOT
https://i.imgur.com/mIMkHUf.png
warped topaz
b, the 2nd part
is it just me or is this the most confusingly worded question ever
We dont know what p, xb, xc, dp or ep are
I cannot even figure out what theyre asking
tardy stag
it's a bit weird? but it's understandable eventually
did you read the preceding paragraph?
warped topaz
after b right?
tardy stag
after a
warped topaz
Yeye thats the question im stuck on
tardy stag
this
warped topaz
The region between xb and xc?
tardy stag
yes
warped topaz
What are they talking about with 'distance between points dp and ep'
tardy stag
tardy stag
yes it's the vertical line x = p
well, if p = xC then the distance will be 0 since the graphs are intersecting
same with if p = xB
you slide that vertical line across the interval
and see where that distance is highest
tardy stag
yes
tardy stag
it is somewhat confusing
elfin vector
Can someone pls help me with this? I'm not sure if it's correct. Thx.
It's about probability.
near lagoon
I think it's correct
elfin vector
for 2.b) i did it like this
1-(0.7x0.7x0.7x0.3) = 0.8971
which only accounts for the WWWL situation, not all of the games that are 4 or lesser
but then i changed it to this
cuz it makes more sense?
ocean sealBOT
Result:
0.2401
why is that also a way to arrive at the same answer? ^
tardy stag
yes
elfin vector
can u pls explain it lol
elfin vector
when she wins 4 or more games
elfin vector
i think i get the logic, but isn't that only for the WWWWL case? Like what about winning five games?
tardy stag
it covers everything that starts with WWWW
you'll note that i didn't include an 0.3 in there
tardy stag
no, those would be different
elfin vector
yep
tardy stag
your method was also fine i want to be clear
flint notch
lone heartBOT
flint notch
help
subtle birch
what have you tried?
subtle birch
Its pythag
Yes
you use that
to find the shortest distance between ferris and butte
flat roost
Help me out with these as well bro
for 2, recall what sides sin(x) involves
for 3, use law of cosine
for 4, it is what sin and cos is fundamentally about
good luck
flint notch
what bout 5?
<@&286206848099549185> can you help me with 2
I got x = 18sin(23) when I plug it in the cal I get -15
but hows that possible
sudden burrow
,w 18*sin(23)
ocean sealBOT
tardy stag
I got x = 18sin(23) when I plug it in the cal I get -15
you're using radian mode
dim matrix
I got the regression equation, if I put the value of x in the equation, should it match the result I'd get with the value of y in the table?
dim matrix
tardy stag
it won't necessarily go through all - or any - of those points
but it will be close to them probably
dim matrix
okay, one more thing, how can I plot the regression line? Should I just put the value of x in the equation I got and then get the corresponding values of y and simply plot the graph? @tardy stag
lone heartBOT
@dim matrix Has your question been resolved?
tacit arch
okay, one more thing, how can I plot the regression line? Should I just put the ...
plotting a regression line is the same as plotting any line of the form $y = mx + b$. m = slope, b = y-intercept
ocean sealBOT
riemann
lone heartBOT
tardy stag
okay, one more thing, how can I plot the regression line? Should I just put the ...
btw if you edit in a ping it doesn't actually notify
dim matrix
btw if you edit in a ping it doesn't actually notify
I didn't know that, thanks.
lone heartBOT
Available help channel!
blissful depot
lone heartBOT
blissful depot
How can I find the height. I have found alpha and beta but I don't think they have any relation to the final answer. Unable to find d.
subtle birch
Alpha and beta indeed have no relation with the height
just consider the given angles
and the main concept to be used here is tan(x)
blissful depot
So I take tan (23)?
subtle birch
Consider this distance. Try to find this distance in terms of 'height'
blissful depot
I'm getting a negative value when I do that
subtle birch
show your work
blissful depot
blissful depot
Wdym I am using degrees. 23 and 29 are in degrees
And unfortunately I have not learnt about radians yet so I don't think I have been using radian
alpine sable
ye
winter night
Is someone here studying pre-algebra? I am and would like to have a study partner.
hidden widget
wut topic?
winter night
Bodmas at the moment. I am perhaps just days before switching to algebra
winter night
wut topic?
I need some chess lessons as well.
hidden widget
ahh im studying precalculus rn
lone heartBOT
@winter night Has your question been resolved?
fluid ingot
lone heartBOT
fluid ingot
I need to do this using the epsilon n definition
In pink ink r my thoughts on approaching the problem, but they aren’t taking me anywhere
fluid ingot
In pink ink r my thoughts on approaching the problem, but they aren’t taking me ...
Also I just realised a rather silly error here so erm, never mind what I’ve tried
.close
lone heartBOT
fluid ingot
Gotta follow the instructions and find the limit using epsilon n concept. I’m not sure how to start
marsh rapids
squeeze theorem
lone heartBOT
Available help channel!
marsh rapids
dumb bot
subtle birch
marsh rapids
.close
lone heartBOT
marsh rapids
(sparkle you can take a new channel if you want)
fluid ingot
(sparkle you can take a new channel if you want)
Thanks, lemme try sandwich/squeeze