#help-10
1 messages · Page 78 of 1
If you’re just looking for answers this is the site to use https://www.wolframalpha.com/
yeah
my friend showed me how to do it with graph
but i dunno if it should be 6 or 7
ooh ok
So you round up
So you have to have to use this formula for c)
You isolate t and that’s the answer
You have to use logarithms so I can just do it if you forgot how for this stuff
i think i figured out how to do it but i think i put the wrong number for t for the second bit???
or maybe it’s all wrong idk
You have to pose this and isolate t
It’s gonna be less than 2 years
*a bit more
Your answer is 4 times the actual answer
I think you forgot the 4 in the exponent
But otherwise it’s the right answer
You put the right numbers but I forgot to check the calculation, it’s 5478.95
Idk how you got something different tho
For the second one or third one
Cause second one is just calculator usage
Third one, see this x?
It should be 4x
Thats the thing you forgot
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ooh ok
@plain plaza Has your question been resolved?
is it gonna ask me this forever
@plain plaza Has your question been resolved?
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What's the objective + what have you tried
What do u want to solve for
How do I even start
Are u trying to solve for y or x
Shouldn't I be trying to solve both
I mean you got to have something to solve for, the first one is just an ellipse
How can u tell
Discriminant I guess
But that's outside of the point
We need to know what you are solving for
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Grade 8 linear equations
,rotate
have you tried anything?
Yes
show your working
Yes the question is asking to find x
Alright, you see the "x-5" as the denominator, correct?
you can multiply both sides by "x-5"
Ok
does that help a little? @timid silo
Next step
after that, look at the left hand side
do you see that the "x-5" has been cancelled out?
I didn't understand?
this is because when you multiply a number by the same number in a denominator
the numbers will "cancel out"
Can u plz show me on paper
hahahxrvy
this is your left hand side after you multiply the x-5, correct?
you can see that after multiplying x-5 to the fraction, there will be an "x-5" on top and on the bottom
Yes
because of this, you can cancel them both out, as diving a number by itself will equal to 1
does that make sense?
because you can think of this as
replacing the fraction with a division symbol @timid silo
Ok
Next step
what you do on the left hand side, you also do to the right hand side
so multiply the right hand side, (which is 2) by "x-5"
got it?
Ya
Ok
if you got something like this, you should be right
Thank you
You're welcome
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anybody know how to solve this?
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. In a given bacterial population, the number of bacteria changes at a rate proportional to the number of bacteria. The proportionality constant is 0.1 h^-1. The number of bacteria at time zero is 1000. a) Set up a differential equation for the number of bacteria at time t and solve it. Also calculate the number of bacteria at time t = 6 h. b) Calculate the time it takes for the bacterial population to double
I need only help with b
Can someone help me please
Only with b)
How do I calculate the time it takes for the bacterial population to double?
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Could someone help me with this? Atleast telling me how to do it would be enough
1 - Use the formulas for the surface area of a cylinder, paying attention to the sides that are not exposed.
2 - Make the total area a function and minimise it.
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How do I do the second one?
As in
How do I make the total area of a function and minimise it
Do I differentiate
And find the 2nd derivative
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so youre given f2/sinbeta=f3/singamma and f3sin(beta-90)+f2sin(gamma-90)=f1, and you want to show that f1/sinalpha is equal to either of them?
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Need help finding the coordinates for a parabola. I'm given this equation: PARABOLIC CURVE
EQUATION: x=[0.263]6.677xY^2
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do you just need coordinates? if so then a graphing calculator helps a lot. https://www.desmos.com/calculator
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what was done wrong in this solution?
Answer isn't exact
that much is obvious bruh
That's why it's wrong
The process is correct
You just didn't have exact answers
that and the -24 should be +24
And that too, I mean your teacher did mark what was wrong
Because a negative times positive equals a negative
and pos * neg?
Yes because multiplication is commutative
oh, okay
btw, how is root(12) = 3.4?
acc it is, nvm
that's all for now
thanks guys
btw, how do i close this
!close
.close
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how do i know when i have to excrete?
bcz a 3rd step in photomath was my friend's 1st step
i'm interested in why couldn't i stayed with 3x-x^2 and 6-2x
wdym
i literally just explained it
I dont know what that word means in this context
oh
like
to cut down
the number
how do i know when i can and can't use it
intuition I guess
there is no defining characteristic to immediately tell you to factor here but if you do it makes the math nicer
you didnt have to factor
you could have just multiplied by both denoms as is
and got to your solution
its just uglier
I guess see if factoring gives a common factor
ohh thst yes
by factoring
its okay
its just intiution and practice
yeah that works
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https://discord.com/channels/268882317391429632/1048061044859346984 could some1 help me out for this probability problem
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can anyone guide me through these problems
which one are you stuck on
do you know log laws
Yeah
then log 2500 - log 10
no
then log (2500/10)
5^2 = 5*5 = 25
yea
yes
also log by itself is implciity base 10 right
yea
yeah
ohhh
And then 10 to the power of what gives 100
1b)?
yep
yea i think so
log 8 (3/64) + log 8 (1/9) ^ 1/2
yeah good
wut
you multiplied again
yea...
did you use calculator for that
yea..
you shouldn't
tech can be 1/3
Use your exponent laws
add the exponents
do you know $x^\frac{1}{2} = \sqrt{x}$
dog.
ohhh right
also $(\frac{a}{b})^n = \frac{a^n}{b^n}$
dog.
yea i know this one
$(\frac{1}{9})^\frac{1}{2} = \sqrt{\frac{1}{9}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}$
dog.
makes sense?
yea
so then you have
then log8(3/64) * 1/3?
log8(3/64 * 1/3)?
1/64
$\log_8 {\frac{1}{64}}$
log8(1/64)
i seeeee
dog.
oh right
you can evaluate it down to a number
8^x = 1/64
are yall done i have really easy problem that i get any good help
im sorry to interupt
hold on
i have a channel
first can you write 64 as eight to the power of smth
waitthen
8^2 = 64
dog.
dog.
dog.
yeah?
yea
dog.
makes sense?
wait so we started with log8(1/64)
so what do you need to raise 8 to in order to get 8^-2
of course you need to raise it by the power of -2
-2
you can also just use ur log laws
$\log_8 (8^{-2}) = -2 \cdot \log_8 (8) = -2 \cdot 1 = -2$
dog.
yeah
i see
make sure to use parenthesis
because its in a single log
since you need to multiply the whole expression
make sure you dont forget the restrictions part
log (x-2 * -z /y)
dog.
you can combine them in any order doesnt really matter
im changing -z to square root z
yeah
how do i do restrictions
dog.
what is the restriction on x
cant be 0
hmm so can it be -1
nooo
so whats the full restriction
so x > 0
x > 0, xer
so here you have
x > 0
y > 0
-z > 0
z < 0
then you can do the same for a
1a
make sure u simplify the inequality so you have the variable on one side
ah okay
thanks so much for taking the time to walk me through these problems and also being a good teacher by making me do the work aswell :D
no problem
make sure you understand each step
then you can solve any problem which is like this
when you are done helping him mind helping me
let me look at urs
its .close
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This is a rather silly question: what is s longest paths?
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Anyone got a clue how to do 1.(c)?
1/(1×3) + 1/(3×5) + 1/(5×7) + ...
= Σ 1/((2k-1)(2k+1)) from k=1 to k=n
,w partial fractions 1/((2k-1)(2k+1))
= 1/2 (Σ 1/(2k-1) - Σ 1/(2k+1))
Now just find a formula for Σ 1/(ak+b)
Nvm that gets ugly lol
Maybe we should actually expand
= Σ 1/(4k^2 - 1)
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Yeah I think I got it ty
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I need to rearrange the formula so that 'a' is in terms of 'b' and 'c'
I tried to simplify the formula to be able to rearrange it easier, but this is as simple as I could get it
If it helps, this is the original
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$\sqrt{(4a^2(\sin(\frac{180}{b}))^2(\sin(90-\frac{180}{b}))^2)+(4a^2(\sin(\frac{180}{b}))^2\sin(90-\frac{180}{b}))+a^2}$
Sculptuura
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$\frac{c}{\sqrt{(4(\sin(90-\frac{180}{b}))^2(\sin(\frac{180}{b}))^2)+(4\sin(90-\frac{180}{b})(\sin(\frac{180}{b}))^2))+1}}$
Sculptuura
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Hello! Could someone explain me, please, how can I integrate this term by term?
Please don't occupy multiple help channels.
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<@&286206848099549185> please
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Assuming you can, switch the sum and integral and to do the integral for each term notice that n is a constant in the integral
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Switching the sum and the integral was the only think I knew to do, I know the integrals but I don't really get it when to integrate and not:
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..
Bernoulli equation I would imagine?
is my method not correct so far?
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How can I find the bounds of the parameterization of the intersection of z = 16 - 2x - y and x^2 + y^2 = 4
I've written the parameterization as r(z, t) = 2cos(t) i + 2sin(t) j + (16 -2cost - sint) k
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how come for b u switch the x and y values?
why would u not just do tan^-1(1/-1.7)
wait nvm
im not sure what youre asking there, it doesnt swap. tan(t) = O/A = y/x
yea sry I was short circuiting for a second
all good it happens
btw man wut is the difference between the straight lines and the bent ones
the bent line represents the size of the angle, aka how much it has to turn
the straight line represents how far out you need to go, so the size of the hypotenuse in your right triangle
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wait another thing is why do we find differenct quadriants?
like if u look at b
instead of finding the one in 4 we find teh one in 2?
the inverse functions are a little weird and only work in particular quadrants
its been a while so I forget which one tan is, I tihnk it works in the first and second, though
na tan is only positive in the first and third
its not about where its positive I think
oh its the negative
no I think you want a mix
btw could u help me with this too?
ahh thats why I was imagining it shifted over one
its like for b i got 1
but it is actually -1
is it bc on the unit circle the x is negative?
well 3pi/4 is in the second quadrant
yeah
x is negative, y is positive, so their quotient is negative
yea but i thought the hypotnus could not be -
the hypotenuse cant, but that's not what you're solving for
oh the angle right
also no\
youre solving for the ratio between the y and the x
tan(3pi/4) inputs an angle -> outputs y/x at that angle (on the unit circle, so radius 1)
oh so we solving for the radiant ratio
uh, not sure what that means
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The base of S is the region enclosed by the parabola y = 1-x^2 and the x-axis. Cross-sections perpendicular to the y-axis are squares.
That is my work. But Answer sheet says 8/3. May someone point out the mistake in this
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does anyone know what discrete, continous and categorical data is. i might be 10 years backed up but its ight
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im doing a limit
of lim x-->-2 of 1/x+2
but its been a hot min and i dont remeber what to do here
normally you can factor or use lh rule but i dont think so here so is it just DNE ?
well, what does y approach as it becomes 1/0?
nothing cause you cant have 1/0?
nononon wait
its a limit
it approaches 1/0
but its not actually 1/0
hmm
let me ask different
what is 1/n, where n is some extremely, extremely small number?
almost 0, but just not 0 enoigh
near zero but probably not touching zero
infinity ?
yes
thats the answer
whats that?
in your case its both right
cause all i know here is that x is apporaching 2 but not from which direction
posetive infinity
well you can try that out no
1/(0.0000000000000000000001) and 1/(-0.0000000000000000000000001)
yea and thatll say if its pos or neg infinity but it dont have a direction ?
its posetive and negative infinity
so it dosnt exist then ?
because if the limit is from both positive infinity and negative infinity it dosnt exist
true
in our class we had to write both down, so if no direction was given but the limit is different, we had to say it becomes a from the left and b from the right
but it seems you can also write it has no solution
since limit from the right and left are different for you
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hey
is this mine or yours now?
yours
oh
great
so quick question
if I‘m trying to find the interest rate at which 2 projects would have the same npv, do I make an equation, with one project on each side, with the interest rate being x?
What did it give you.
Sometimes cash flows with a lot of direction changes between positive and negative can give weird IRRs
Correct me if I’m wrong because this has slightly different notation but PV of A should be 1400?
yes
absolutely
And then you probably made the same mistake with B
yes
the mistake was me trying to get it for one year earlier than I was supposed to
You discounted the first payment, on accident, should probably resolve your second part to that question lol
Nice
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for part (a)
would you not just do:
H_0: p = 0.9
H_1: p > 0.9
X ~ B(10, 0.9)
size = probability of being in critical region
i don't understand this
where did the 0.7 come from...
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can somebody help me with the second question. I need help forming the equations and graphing much appreciated
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im kinda new to it but I have an idea
do I lay it out like this?
ah okay
thank u
I know how to do it with numbers but I'm unfamiliar with the variables
would it be 2q - p?
ye
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Hey is this a permutation or a combination?
permutation = order matters
sooo this is a combination?
permutation
Wait does the question mean
pick 3 positions for the office
and those 3 positions are president, vp secretary
yes
if you're picking people for certain offices, if the same 3 people wind up in different offices, then it's a different outcome. So order matters
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,rccw
for part a)
consider a f(x) with degree 2 and vertex at the point (-1,2)
and understand that the inverse of a function is that function flipped on the y=x line
ok
wait
im trolling a little bit
need to think of another example 
ok
pretty sure a) may be true
as the function to be invertible has to be be one to one so it will go from neg inf to pos inf, so when you flip it, they will cross at some point
what
clarkie are you reading the question right
i think you're overthinking a bit
although it's actually not all that simple to explain without just saying the right answer maybe
and idk what your teacher has/hasn't taught
for starters, for a function y=f(x), if you're trying to find its inverse, what's the first step you take
ok, so you have the inverse $f^{-1}(x)$ satisfying $x=f(y)$
IV
so if $(x,y)$ is a point on $y=f(x)$, can you find a point using $x$ and $y$ that's on $x=f(y)$?
IV
u sub x and y into x = f(y)?
that requires knowing the function f
can you find a point that is on x=f(y) without having to know what f is, given that (x,y) is on y=f(x)
idk how
notice how x=f(y) and y=f(x) look really really similar 👀
it is, but you should be able to represent the point using 2 values
i guess an example should help (and give away everything)
let y=f(x)=2x, it's known that when x=1, y=2 so (x,y) = (1,2) is on y=f(x)
then finding the inverse of f you start with x = f(y) = 2y, what's the point corresponding to x=2?
these points are represented in the form (x,y)
(2,-1)
?
(2,1)
I probably will give up on this question and go relearn basics of functions cus i dont think i understand
Ty for the help though
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Can someone help fully explain the steps taken to get the answers that they did on this problem please.
I especially do not understand the t = 4 months and how that fits in to the total calculation, is it multiplied, divided or what?
They have an equation interest = P • r • t
And that equation requires t in terms of years
So you convert 4 months to __ years
I understand but I can see the ansers but need to know how they worked through it to get those answers.
Ok so first up is the equation
I = Prt
I: Interest
P: principal
r: rate
t: time
The question wants to find out what is the interest if you miss payment no.4
yes
I pretty much just do not understand what they did with the time, is it multiplied, divided or how does it work into the problem?
The time is 4 months right?
yes
We want that in years
yes
12
The 12 became 1, the 4 becomes 12?
If the 12 becomes 1, the 4 should become 1/3
The general equation should be
Time in years = time in months divided by 12
ok but what then do you do after knowing this/
ok so what would I do if it were 5 months?
so what then would I do with the decimal?
You would keep it as a fraction until the very end
And then you'd round it however many places you need (usually into just the cents place)
So in our question, how much is the time in years?
I was trying to see how in the beginning with the example if it is kind of like this problem at all fully I understand how to do this one to a certain point up until t this is why I asked about 5/12
because this asks me about fifth month I wasnt sure if its worked out different then the example
because when I do 5/12 then it turns into a decimal
Decimals don't change how math works
The math will work the same exact way
Just the numbers are different
how would I do 5
I just do not understand how this is worked can you show me please.
You would do
Time in years = time in months divided by 12
And since you know time in months = 5, you get
Time in years = 5 divided by 12
t = 5/12
And then plug that into i = prt
how do you plug it in, that is my problem that I do not understand and is what I have been trying to ask.
jafar/جعفر
$I = \frac{5pr}{12}$
jafar/جعفر
That is how you plug it in
(Btw sorry if me constantly saying "plug it in" instead of "substitute that in" bothers you)
I am trying to help my daughter with this problem, her teacher just showed the answers but did not fully explain how to do the work, step by step.
So did that explain it?
so basically i still do not get it due to the fact it is not explained on how they got to the final answer
they gave that example with no explaniations at all.
I need to know do you multiply, divide or the exacts steps.
so I can fully understand how to help her to understand it.
Should I type in general language from now on "time in years = time in months divided by 12" or in math language "t_y = t_m/12"?
Which do you prefer
please yes general language.
Ok, so we have "Interest = principal multiplied by rate multiplied by time"
The question said that "you bought a computer for $945.00 plus 7% sales tax"
That translates to "principal = $945.00 plus 7% sales tax"
Correct?
yes
Now what does "$945.00 plus 7% sales tax" mean?
It means "1.07 multiplied by $945.00"
(the 1.07 is because the tax is 7%, if it was 8% then the number would instead be 1.08 and so on)
yes that I understand
So we have so far "principal = 1.07 multiplied by $945.00"
ok
We also need the rate
20.99
don't forget the %
yes
We also need the time
The time must be in years for the equation to work
We have "time = 4 months"
We need to use another rule
"time in years = time in months divided by 12"
So because we know "time = 4 months",
We can plug that in and get "time in years = 4 divided by 12"
3?
ok
What is the value of 1/3 (in decimals)?
0.33333
not sure
1
2
3
Now we can plug them into the original equation
"Interest = principal multiplied by rate multiplied by time"
"Interest = $1011.15 multiplied by 0.2099 multiplied by 1 divided by 3"
Does that make sense?
yes
And if you do the calculation on that you get your answer
I got 70.746795
ok so what about the problem she needs to solve with the 5/12 for time, it can't be reduced? so this I do not understand either.
It will stay 5 divided by 12
And the final equation will look something like "Interest = $1011.15 multiplied by 0.2099 multiplied by 5 divided by 12"
so then in decimal it is 0.41666666667, so we do not use the decimal, just take and multiply by 5 then divide by 12 instead?
Yup exactly
ok thank you I will have her try and see if it works, then I will let you know, and ty
Np, glad to help
I think it helped her, her answer is 56.98 if her calculations and your guidance is correct, anyways thank you again
Yup that's exactly the right answer
I am so happy you could help me to help her, thank you, it was very much appreciated.
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a teacher has 36 students. 10 gave roses and chocolates, 14 gave only chocolates and 12 gave only roses how many students did not give the teacher gifts
what is set operations
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Can someone explain how to find a vector that is both parallel to a plane and perpendicular to a line? I can find the vector with one condition, but I don't know how to find the vector with more than one condition
find a vector that is orthogonal to the line and the plane’s normal
so i should fine the normal vector of both the line and the plane and find the cross product of that?
find the cross product of the line’s direction vector and the plane’s normal
notice that if the line’s direction and plane’s normal are parallel, you’ll get the zero vector, but you should be able to consider that case separately (just take any vector on the plane)
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$\int \frac{\sqrt{\cos 2x}}{\sin x} dx$
NEONPerseus
Man where have we come from there's exactly one number in this math question
use cos2x=cos^2x-sin^2x
write sin as tan/sec
and cos as 1/sec
substitute for tanx
i think ull get it
Hmm
it will be long tho
Yeah that's expected
I think I got a better way
If I put sin into the square root
I get root of cot squared - 1
Then I take cot = sin
And figure some shit out from there
nvm I should use sec not sin
ya
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I’m stuck
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Help me pls (francais)
quel est le problème 
Jai des problèmes sur les fonctions
pose ta question alorrs
Soit f la fonction qui a x assicie -4x-3
Soit C sa représentation graphique
Quelle est labcisse du point ordonné-5 de C
Ah désolé :( je pense que cest au dessus de mes connaissanes
vous pouvez demandr en anglais peut-être que d'autres le sauraient
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Svp
I have a question
Let f be the function which associates -5x-4 with a.
Let C be its graphical representation.
What is the abscissa of the ordinate point -3 of C?
Give the answer as a fraction or whole number.
So
????
I am Jose Mourinho
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my mother, who is a math major is telling me that in 12 less than 15
12 is first.
12-15 is (-3)
but i think it is 15
15-12 is 3
so which one of us is right?
oh and i know its a simple question
i just need to solve a word problem with less than
