#help-0
1 messages · Page 29 of 1
sure
youre right
0'2 - 16'2 = 2.4.s
-256 = 8s
there is an error
where?
a should be negative here..because it's the case of retartation
oh
where final velocity is less than initial one
-256 = -8s
so 32
no im at 8th first semester
also im not in standart
standard
ohh i guessed ya from india..cz i was tutoring my student same question...
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Can anyone tell me this question is asking
I know probabilities
And also set notation
But i am still not sure
There is a formula about that
Its there? But what is it asking though
the probability of the union of A and B
Isn't union the list of all values in both sets?
So I am thinking here that this doesn't have anything to do with probability, because aUb is just values of both sets listed
It would make sense to ask the the probability of two sets intersecting
So i am still not sure what is it asking
It is the probability of A to happen or B to happen
If C = {1,2,3,4} is a set of possible values and A = {1,2,3}, B = {4} the probability of randomly picking a number from C that either belongs to A or to B is 1 (note that it is an or and not a xor).
I can understand what you said here
How does it connect with the question
You can just apply the given data in the above formula I sent to find P(A∪B)
Yea but, i still don't quite get what the question is asking though
Ill make it more clear
What does it mean when it says p(A)=1/2
Probability that an element of a is 1/2?
Let p(i) be the probability of each element i∈A. Then p(A) = Σ(p(i)) i∈A
If it is 1/6 the probability of getting any number of a fair dice, then getting an even number is 3(1/6) = 1/2
I can understand that
Can you translate the question into plain english, i might get it that way...
Or maybe you have any Video that can help me with this
Ill look up somw Video
Proof using the Axioms of Probability. Here we discuss the ideas for the proof. The proofs themselves are presented in 2nd and 3rd video.
Does the U symbol not mean Union here?
It means "or"?
Maybe i am mixing up the notations here
It means "or" in the context of your problem. The probability of A or B.
You can reconcile this with the idea of a union by considering picking a random number 1 through 10, where A and B are both sets of numbers between 1 and 10. So P(A U B) would be the probability of picking a number in the union of A and B, or the probability of picking a number that is in A or B
Yea, I didn't know it meant "or", and was instead thinking of set notation
@rose olive Has your question been resolved?
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hello, i need help with my pre-calc homework
in specific i am doing functions and determining the function value - if there is one
i made a diagram describing the steps ive taken. i am stuck on what i should do next
The function value means you are trying to find the value of x so it can equal to 0
you have reached your solution here
were you expecting a number to come out after evaluating for x=y+3?
the outcome is going to be in terms of y
i do not know what to expect because i have not done this math before and it was taught very poorly
as usual :/
evaluating a function means basically replace x with whatever they want to replace it with then simplify
usually they tell you to evaluate the function by replacing x with a number
in this case they didnt so the the solution comes out in terms of y
since the input was in terms of y..............( y+3)
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Are these notes correct?
a² + b² = c² also I see the Pythagorean theorem for hyperbola but ellipse seems weird to me.
ellipse is like a² - b² = c²
@dawn quail Has your question been resolved?
.reopen
@dawn quail Has your question been resolved?
That's right
@dawn quail Has your question been resolved?
Thank you - so what causes the ellipse foci to be a² - b² = c² but the hyperbola foci is a² + b² = c²? The way Pythagorean theorem is taught is a² + b² = c²
https://www.expii.com/t/derive-equation-of-ellipse-from-foci-1328
That might go way over your head
Equation of Focal length of ellipse is derived using definition of ellipse.The formula generally associated with the focus of an ellipse is c2=a2−b2 where c is the distance from the focus to center , a is the distance from the center to a vetex and b is the distance from the center to a co-vetex .
#ConicSectionsEllipse,#FocalLengthEllipse,#Elli...
Would a a deep understanding of this be needed for calculus 1?
No
Great
I won’t worry about it until later
I’m just starting my first year of calculus 1 this semester and trying to get a head start
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what is 5*+3
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Hello, what happens to the exponent when looking for the common monomial factor
Do you have an example of what you mean?
@west bluff Has your question been resolved?
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what does it mean if "f" is defined or continuous?
@zenith birch Has your question been resolved?
Defined means there exists a y value for that x value
E.g. there's no y value at any of the holes
i get that for f(x), but there are questions just asking for f
But for x=1 f(1) is defined
They're the same thing
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How would I find the figure size number for a shape with 219 green colored tiles?
this comes from the book algebra 1 open up high school mathematics.
can u send pic
it says, "Turn one of your expressions into an equation that can be used to find the figure size number for a shape with 219 green colored tiles."
the expressions i have used to solve the prior problems are,
3 by 5
(14 - 3) + 7
(3 by 1) + 2 by 3
and ( 8 + 4 ) + 3
i don't know either, i'm guessing the size of the figure????
whats the chapter about
are you at #7
yes
hmm i dont understand sorry
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I think this is B but I’m not sure
Is there any particular reason you picked B?
B is right, I'm just curious what you thought
@rapid kite
@rapid kite Has your question been resolved?
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I want help with part b)
My diagram
@cunning trout Has your question been resolved?
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Im not sure how im not factoring this right im trying to factor x^2-5x-6 do I just find something that mutiplys to -6 but adds to -5
what's your answer?
yes
that is what you do
but there is more steps of course
I cant find anything that mutiplys to -6 but adds to -5
nvm
-3 and -2
that doesn't multiply to -6
so is my answer (x-3)(x-2)
-3*-2=6
oh
red flags !!!
then idk what does
what about -6 and 1?
more generally, you should check all combinations of all positive and negative factors of the product. in this case:
$\pm 1, \pm 2, \pm 3, \pm 6$
riemann (eric tao for honorable)
since those are the only factors of 6
^this is a more structured way of doing it
you can quickly rule out a lot of cases because of the negative sign on -6 since you know (positive number) * (negative number) = (negative number)
$x^2 -7x + 12$
riemann (eric tao for honorable)
damn u thought of that quick
ok let me do it
You can do a way without trying all combinations
how
im trying to do it and I cant find a combo
it's probably more important for chrome to get practice
Do you know the fact the a^2+2ab+b^2=(a+b)^2?
no
Oh ok then nvm
write this for 12
I wanted to tell him about completing square
and rule out half the combinations by using something analogous to this
ok now what
try them
type out all the factors here
ok
Factoring quadratics essentially is down to practice
I cannot find anything
You just do it a lot until you can do it quickly by inspection
are u sure there is a answer
.
1 12
2 6
3 4
4 3
6 2
There is an answer
good
I dont see anything that adds to -7
Which of these gets you 7
even when I make them negative
so you just need to remember $\pm$
riemann (eric tao for honorable)
Can you make 1 and 12 go to 7
how
it was a question
what does this mean
It’s a yes no question
no
list out all positive and negative factors
and realize that the only way two numbers multiply two numbers to a positive number are
(positive number) * (positive number) = (positive number)
(negative number) * (negative number) = (positive number)
Can you make 2 and 6 go to 7
no
$\pm 5$ is shorthand notation for two numbers: 5 and -5
riemann (eric tao for honorable)
Can you make 3 and 4 go to 7?
yea not negative seven tho
Ok but you can get 7
yea
what if they were both negative tho 
oh yea
they add to -7 and mutiply to -12
I forgot two negative make negative
I thought it wouldnt mutiply to -12
Yep
yea I forgot when you mutiply two negatives with eachother its positive
I thought it wa snegative
jswatj
factor that
jswatj
Then you’ll be fast at doing it
nice
Just ask if you get stuck
🙏
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i had to step away. nice job you two @alpine sable and @median oar
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@olive pagoda Has your question been resolved?
<@&286206848099549185>
@olive pagoda Has your question been resolved?
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what does this asterisk mean
It literally says there in the picture. It is $x_k + h/2$. In other words, it's the midpoint of that subinterval.
PhenomPlasma
i mean
cuz i saw those * in many other functions too
do they have any significant meaning
like in complex numbers, they are complex conjugate
Ah it depends on the context. For complex numbers it usually means conjugates yeah.
You might also see $\bar{z}$ instead of $z^*$.
PhenomPlasma
yes
Though in this case for what looks to be calculus, $x_k^*$ in general is just some point in the kth subinterval.
PhenomPlasma
In defining the integral, it doesn't actually matter which point you use, so it's just used to denote some point.
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can someone give me an example of how a proof would look like of why D(0,1) is a star domain
what is D(0,1)?
open disc of radius 1 centred about 0
in R^2?
oh in C
same difference...
i think its the same for R2? but meh
yea
state it
a domain S is a star domain if there exists a lookout point c in S such that when u pick any point z in S, the line from c to z lies in S
so i was thinking that the line from c to z can be represented as
ct+z(1-t), t in [0,1]
so as long as i show that ct+z(1-t) lies in S for any t, im good?
is that how i should approach it?
i think you are overthinking it tbh
how would i go about showing it
i mean like, if you don't just want to say "all nonempty convex sets are star domains"
you can pick the most obvious point in your disk as your lookout point
0
er i mean i could but i feel thats just saying the question is trivial
it is
ok yea i guess
ill just do that
but for understanding can u go on
so then we pick any other point z, and as z lies in S, |z|<1 thus it lies in S
then how about if we want to show that all points in S are lookout points
the segment from 0 to z consists of points of the form tz for t ∈ [0,1]
|tz| = |t| |z| < 1
therefore tz lies in the disk just as z does
oh yea i forgot about the fact weve to show the whole line
ok then how about
ct+z(1-t), t in [0,1]
what if weve to show all points are lookout points
i.e. "what if we have to show that our set is actually convex"
is that what youre talking about
also lines are both concave and convex right
no, unless you have a definition of concave that isn't "not convex"
oh the only sets that have all points as lookout points are convex sets?
ok wow
i dont even have to do work
my answer is literally from definitions
cool
a set is convex if for every two points within the set the line segment joining them is also contained in the set
i would have to show this lies in S for any c,z in S and t in [0,1]?
sure
well sure you could let that wlog but it does not explain the inequality
wait which
$|ct + z(1-t)| \overset?\leq |ct + c(1-t)|$
Ann
hm good point
|ct+z(1-t)| <= |ct|+|z(1-t)|
<= |ct|+|c(1-t)|, wlog let |c| >|z|
= |c| <1
whats the elegant way
would this be a convex set aka trivally a star domain
a semicircle
well the boundary of
cuz theres a straight line bit
ALL convex sets (other than ∅) are star domains
its obv its gonna be a star domain but it doesnt exactly fufil the convex def?
oh
nvm
but im not told its a convex set
so ive to show it
anyway
it is convex as drawn
whats the elegant way to show this
this
$|tc + (1-t)z| \leq t |c| + (1-t) |z| \leq \max(|c|, |z|)$
Ann
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$span{(0,1,1),(1,1,0)}=span{(1,2,1),(-1,1,2)}$
metnal
to prove this do i just put these both in matrices and reduce to check if their rank is equal?
uve to show that and that one is the linear combinations of the other
that one span is the linear combination of the other?
yea
uh ok but a span isnt a vector
like im not sure what u mean
how do i show that a span is a linear combination of another
like
im only used to vectors being linear combinations of others
that u can get any of the vectors in one of the spans by using only spans of the other
eg span(v1,v2) = span(u1,u2)
assuming both are rank 2,
u1 = a1v1+b1v2
u2=a2v1+b2v2
where a1,b1,a2,b2 are constants
do i have to also show it in reverse?
that not only the first is a linear combination of the second
buit also the second is of the first?
yea as in u can represent v in terms of u, yes
show that u can be represented in terms of v
in this case u can say
well just give an example
find some numbers that would make it work
but is there an actual method
(0,1,1) + (1,1,0) = (1,2,1)
other than random guessing numbers
i see but
let first constant be alpha, second be beta then solve
.close
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hint: 2=5/2.5
log5(2.5) = log5(5/2) = log5(5)+log(1/2) = 1-log(2)
ay ay
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Can someone help me with some basic algebra
Don’t ask to ask
The area of a square is given by the expression area 16x to the power of 16 y to the power of 4. Write a expression for the length of one side
Pl
Can’t read it, I will leave
How am I supposed to make it so u can read it lol
You are given the area of a square, you want to find length of one side. The area of this square is?
That’s the part I can’t read
16x to the power of 16 y to the power of 4
Still can’t read it
How do I make it so u can lol
Can you use symbols
Where
$a^{b}$
Cogwheels of the mind
Like this
What’s to the power
Cogwheels of the mind
Nflballstar
$16x^{16}y^{4}$
Cogwheels of the mind
Square root of this?
$4x^{8}y^{2}$
Cogwheels of the mind
Find one side given that that’s the area
Yeah, answered
I better leave, you can search for area of square meanwhile
?
Just tell me how u got the answer
Lol
No the 16x thing at the start that was the area
I’m trying to find a side of a square given that
@oak perch
Just type it down correctly
Wym?
Is the area this or no?
Then I answered it already
Sorry really need to leave
But
How
??????
Y
Aren’t u supposed to show me how to do it
This is stupid
Someone help me
Please
HELP ME
This server sucks man
@alpine sable
Help
Plz
don't ping me
it's not my job to help you
Who’s is it then
why should i care if you understand something or not
No one here is paid to help you
So I should just leave this server bc no one is gonna help
yes
Don't be so entitled
I asked for help like anyone else
Y isn’t anyone helping
I see people in other chats getting help
Y not me
Huh
You think people are going to want to help you after a message like this?
Or this?
So because people didn't respond in the timeframe you wanted, no one is helping you?
You need to learn to be patient then
?
Dude people are getting the answers in their own channels
Y not me
I saw someone who asked a question and right away someone helped
Because helpers come and go? They check a channel and help if they can, there's no reason anyone gets help over anyone else
Well it seems like they help everyone else
I’ve been waiting
For 10 mins
“ people come and go”
Have you ever thought no one wants to do boring problems?
@slow sable bro I didn't get an answer for more than 4 hrs and still didn't get an answer till now to my question where 2 channels closed by themselves and I closed the third one so you waiting for 10 mins isnt the end of the world
Why are you complaining about the wait time of free help?
So be patient
Bc I have a test coming up and I need to learn it kinda quickly so I can move on to the harder questions so I understand and pass
Okay, that's not our problem is it?
You ruined your own chances of getting help
👋
This server offers so much help
I got annoyed when that happened to me but then I realised that people have there own free time and they can do what they want they can help or not after all you aren't paying for example to get help
If you hadn't have complained your question would have been answered by now
Hell na
People don't always know how to help either.
Exactly
It’s a basic algebra question
I often boycott certain people so I leave them to struggle.
Bro I'll help but don't complain that much
Ur a nice person
True.
The worst thing that can happen is that you turn off the phone and wait till another time and try to figure out the answer by your self
Now can u post the question
Or what
@slow sable Do u need help or no
If yes then post the question
Yes but y’all prolly gonna flame me for the question
It’s rlly simple
But idk how to do it
$16x^{16}y^{4}$
Given this is the area of a square find a side of the square
Nflballstar
The inside
Wdym by the inside
Like the inside. Like uh
Oh I understand what you mean
The square meters or such of the inside of a object
But how can you get the area of a square
So are they equal or no
Wait
I get that I just don’t know how to work it out
The area of the square is its side ^2
^2 what’s that
So let A be the area of the square and s be its side
Ok
Yes
^2 is power 2
Oh yup
So s raised to the power of 2
Yup
Ok now do you know radical ?
No
Square root?
Yes
What is square root
You said that you know
Yes
Ok what does it do
It eliminates the^2
How
Like division eliminates multiplication
So for example 2×4/2 = 4 we eliminate 2 and 2 in the numerator and denominator
rad(2×2) = rad(2^2)=2
Here the rad or radical eliminates the ^2
I don’t get it. The question doesn’t look anything like what it doesn’t at school
Now did you understand what I said above ?
rad is square root
Ok and
Shouldn’t it =4
2^2 means 2×2 which 4
Yes
The heck is inverse
Bro don't mind the word inverse
It is what eliminates ^2
It is the opposite of ^2
Like × is the opposite of ÷
And + is the opposite of -
Yes
The word opposite isnt the accurate word but let's use it for now
So did u understand the idea of square root now?
Ok
You need to find the value of s
So the square root of 64 is 8
Exactly
The reason because 8x8 is 64
That's it
So the square root is a number timesed by itself
Equal the number being square rooted
Ok but how does that have to do with the area of a circle
Yes…
Now s = √(s^2) Is that right
What does s mean again
The side of the square
Nope they aren't equal there would be mods
Mod s
Modulus of s
?
So ur saying the side of the square is equal to the square root of the equation given for the area of the square?
Root of x^2 isn't equal to x it is equal to modulus of x or absolute value of x
Yes
Oh yea You are right
But he prob isnt interested in the negative value rn I was just telling him what's square root bc he forgot it so he prob didnt take that the square root is +- not just +
Ok nvm continiue one
Now what you said here is true
That's the point that I wanted you to reach
So for any question you are given the area of a square for can I just put the education for the area of the square into a square root and it gives me a side
Yes if you have the area of a square take its square root and this will be the value of the side of the square
So put the equation of the area into a square root and it give the answe
Now the area of this square in our case is 16x^16y^4
What's the square root of 16x^16y^4?
Now square root can be distributed in multiplication and division
So √(16x^16y^4) = √(16) *√(x^16) *√(y^4)
It says error
- means times
Do it without calculator
Calculator is bad for the brain most of the time
XD
Wrong
I did what u said tho
Put 16^16 x 16^4 into a square root
But on your own
That's not what I said
That’s what it sounded like to me sorry
That's what I said
What does that mean
Bro I told you, you don't have to say sorry
It means that √(a×b) = √(a)×√(b)
Wait so that just mean 16 x4 into a square root
Y did u put all the brackets
It confuses me
Bc each of the terms is having square root separately
They are not under one square root
4
Ok what's the square root of x^16
What’s that.
Ok so now x^16=(x^8)^2
X isn’t in the calculator
This is a rule that you should know
Power of a power
Power
The little symbol
Raised to the power of...
So that 16 to the power of 8?
Y put x instead of 16 there
Where
Here
X^16
That’s x to the power of 16
But how do I work it out in my head
You need to practice
So x to the power of 16 is x to the power of 8 to the power of 2 to you agree on that ?
Lol if u won't try how will u ever understand
Yes
Bro when you have these thoughts you will never become better at math
So do you agree on this ?
Yes
Ok so what's the √((x^8))^2)
If doubling time is 5 hours, what is tripling time
My thought was solve for t but can’t with 3Po=Poe^3t
What the hell
Divide 5 by 2 to get the initial time then multiply by 3 to get 7.5 hrs
Wait a sec lemme finish with nlf first
7.925
So nlf 8 is wrong
Consider x^8 to be z
So let z=x^8
What's the square root of z^2
z
I don’t get it
Now introduce a variable let the work easier
Let z=x^8
This will let you get the right answer
You asked your question in an occupied channel, you should ask it in a channel that is free, like #help-9
So you have (x^8)^2 right
So that is 8 to the power of 2
If you let z=x^8 then you will have z^2
You can name x^8 with a letter to not get confused
So that is x to the power of 8 rights.
Look what nvm lets approach it from another way
Yea let z=x^8
Look ill give you an easier way
You want to get the square root of x^16 right
That x to the power of 16 right and yes
Didn't we agree that square root eliminates power 2 ?
So r u saying what do I replace x with on x to the power of 16
Yes but where did u get the power of 2 from?
Man I suck at learning online. I need to be in person with like a book
You need to know which number should you divide 16 by to get (x^something)^2 To take square root and eliminate ^2
So if you divide 16 by 8 you get 2 right
Ok this will give you (x^8)^2
The square root of that is x^8
Bc square root eliminates ^2
And (x^8)^2 =x^16
So like that you will have gotten the square root of 16 and square root of x^16 So far
You still need to get the square root of y^4
Now which number can you divide 4 by to get (y^something )^2 ?
So 4/what=2?
2?
Yes
So the answer is 2?
Maybe
The square root of 16 is 4 the square root of x^16 is x^8 and the square root of y^4 Is y^2
u guys sill here
Now what does 16x^16y^4 mean
Don't say that you are stupid its ok to take your time to learn what you should learn
16 to the power of 16 to the power of 4..??.
It means that the terms are multiplied by each other right
Yes..
So 16x^16y^4 = 16×x^16×y^4
Yes..
Ok what you should do is just multiply the square roots of each of these three by each other to get the value of the side of the square
So the value of the side will be s = 4x^8y^2
Did you get the idea
So like 3 then the square root thing then like 16
Wdym
Like u put that into calculator
No
You can't put and expression with variables on a calculator
You got the square root of 16 which is 4
Multiply it by the square root of x^16 which is x^8 to get 4x^8
Why do u keep putting x INFRONT of the 16 if I can’t put it in the calculator
And then multiply that by the square root of y^4 which is y^2 To get 4x^8y^2
I don’t get it
16*x =??
?
16x
What with 16x
Yes
Ok so after you multiply the square roots together you will get 4* x^8* y^2
You just got the square roots of each term separately
Just multiply them
By each other
Ya so u times the number individually by the square roots?
So square root of 16 times square root of x^16 times square root of y^4
Man I give up I’m too stupid for school, math
Just practice more and I will be easy
Brooo
I feel bad for wasting ur time
It's a matter of practice
And I still don’t get anSIMPLE FLIPPING ALGEBRA QUASTION
I can’t because I’m dumb
TRUST YOURSELF
If you keep thinking like that then you want achieve anything
What you are saying now is dumb
But I’ve spent ages on a simple aglgebra question and I still don’t get it
Bc the person who doesn't fail in many tries can't succeed
Thomas Edison failed in 99 tries to do a lamp and then it worked
I’m just wasting ur time
You shouldn't give up
Yea I should
😫
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redemption arc
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