#help-13
1 messages · Page 17 of 1
I mean, it is expanded a lot more
im in ALegbra 2
Oh you guys take that in algebra too? Never knew
ye
Interesting
lol
i know how to do it
just forgot
i was focused on other subjects more
need a fresher
Anyways since you are in algebra I suppose it's understandable
yea
You need to make the denominator of 1 equal to the denominator of the fraction
Try multiplying by the common denominator
Just... Leave it there
So you basically have x/2 - 2/2
Nono remember I multiply both top and bottom
It becomes x-2/2
yea
Because you can do a lot with parametric curves
Uh give me a rundown of your curriculum
wdym
Because I honestly don't remember what algebra 2 was all about
I don't remember the topics, so I am asking if you could give the topics you study in it
is calc difficult?
Calculus?
ye i dont got the book on me rn
yea
Mmm it definitely is challenging and fast paced. You have a lot of topics you would be learning about
oh
But if you have a solid foundation in pre calculus, you will definitely do good in calculus
Ofc
Who is "everyone"
like 3 different helpers
From this server? You probably misinterpreted what they said... Most helpers here are way above my knowledge base
yea from this server
no
they told me
they forgot how to do parethmetic equations
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Could someone explain how????
Um an even powered term is never going to give you a negative result
Ohh that was supposed to be minus not plus
My bad
My Phone read this wrobiły
Wrongly
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The hamsters wheel is 16 cm in diameter and the base of the wheel is 2cm off the ground. If Harry can spin the wheel 4 times each second, what is a cosine function that describes the movement of the wheel if it starts at its lowest point?
Any help is appreciated Im not sure where to start
@scarlet schooner Has your question been resolved?
Does anyone know how to answer, if not it’s fine.
@scarlet schooner Has your question been resolved?
DADDY
I AM GOOD AT MATH
PLEASE
HELP MEEE
If you divide x Square by 789 then whats the answer Pinky
Oh sorry TINKY
OH NO SORRY ALOO TIKKY
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Help 😦
@abstract locust Has your question been resolved?
<@&286206848099549185> 😄
.close
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Can someone help me solve this please I have tried 10 times
Someone who is really good at math please
I told you it's ln5 + 2arctan(4/3)/3 - ln3
I know it’s so hard
,w integrate (x+3)/(x^2+2x+10) from -1 to 3
I used calculus calculator and got its answer as well
,w 2 + 2ln(3)
I'd do trig sub
See now it matches
Let x+1 = tan(theta)
Is the log fn and 26/9 in addition?
Here's the question 
<@&286206848099549185>
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this should be really easy i dont know why im messing it up
can we see your work
solve for x in u=2x-1, then plug whatever you get into the original equation for x
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<@&286206848099549185>
Dude you haven’t even posted your question
Oh bruh
Uh
A pyramid is standing on a table, the base of the triangle is a square with sides of 9 cm, L is the middle of side BC of the base of the triangle, the length of TL is 12cm.
How high is TM in cms?
I dont understand at all
I believe pythagoras is supposed to be used
Thank you but i dont really know how
you can compute MT in the triangle ABC to be half of AB (ABCD is a square therefore M is the midpoint of AC, T is the midpoint gor BC meaning TM id a middle line in the triangle)
then pythagoras in TML
if you want proof TM is perpendicular on ML i can write it
Sorry but could you explain that again but dumber
basically ML is half of AB cause its a middle line
or an axis of simmetry in the square but half
which means its half of AB
or 4 cm
ML = 4 cm
ml
sorry
god therse side notations kinda bug me
anyways
then pythagoras in TML
Why would it be 4 and not 4.5?
oh wait its 9
yh
So do i now do 12² plus 4.5² and then root of the outcome?
Well the Pythagorean theorem states that in a right angles triangle a^2 + b^2 = c^2 where c is the longest side also called the hypotenuse. So our longest side will be 12. So instead we get 4.5^2 + b^2 = 12^2
So you have to do some rearranging
b = 12² - 4.5²
Wait so 12²-4.5²=123.75
Root of 123.75=11.1, so then tm is 11.1?
Yeah
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how do i find dh/dt?
h(t) is given in the question
but thats not dh/dt, is it? thats just h
you can differentiate it
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Proposition True or False or Open:
If factoring is an element of P, then P does not equal NP.
did u see my answer?
essentially you go by implication rules, then it's clearly not true and not false
ty
isn't P\subseteq NP?
yes
even without "implication rules", factoring is not NP-complete, so it could be that factoring is in P, but other things aren't, which means the proposition is not false
(rather it's not shown to be NP-complete, for extra brain torture)
So if if the proposition is open —> open then it would be open
yeah
Also It just hasn’t been proven that if factoring is in p then p != np
But if we said satisfiavilty is in p then p = NP
Even though it’s open —> open
It’s true because it’s been proven true
hm
yeah true
ok this is kinda fun
"If SAT is an element of P, then P does not equal NP"
Oh okay because it’s confusing because with these implication rules wouldn’t these np hard problems technically be open?
that's not false
Yeah but I’m assuming just because it’s been proven true, so it is true
there's no loading emoji
right,
"If SAT is an element of P, then P = NP" is true, we can exclude T → F, which is enough
"the opposite" is not false, we can exclude T → T, and F → F, but F → T is possible
so it's open
(and not "opposite")
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Can someone walk me through number 4 here
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@velvet mason Has your question been resolved?
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is this the final answer or am i missing something? i used the power rule.
what about the +4?
do i just add it as a constant to the answer or should i add the antiderivative of 4 to the answer
yep, that's it
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sorry
idk where my other channel went
but can i get help
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need help with this
i'd like an explanation because it doesn't tell me that clearly
or i might be dumb idk
whatever it's fine
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x^2 + x^2 -14x + 49 = x^2+2x+1
Clarkie
just apply that here
I did that lol
how tf did you get -48
And got -48
working?
x^2 + 1 (this is A) + x^(this is B) = x^2 + 49 (and finally C)
I dont understand
Wait it is positive x = 47 lol
Idk I plugged the three sides into Pythagorean
after expanding
(x)^2 + (x-7)^2 = (x+1)^2
x^2 + x^2 -14x + 49 = x^2+2x+1
x = 4 or 12
so a 3,4,5 triangle or a 5,12,13 triangle
Oh shoot
helps to know Pythagorean triples as well
I got 6.9282
Where did 14x come from
$(x-7)^2 = x^2-14x+49$
Clarkie
Clarkie
gotta foil it
This algebra video tutorial focuses on the foil method. It explains how to multiply binomials, trinomials and polynomials together. It also includes foiling examples of binomials with exponents. In addition, this video goes over another technique known as the binomial theorem which goes along well with pascal's triangle. You can use the bino...
Oh your right lmao
you gotta learn to reason your answer as well
get it and plug it in
see if it works
What the I went through it all my calculator doesn’t get 4 or eight
Also @violet night
I don’t know how to find the side lengths
wait someone asked this earlier
Lol

But it didn’t work
so add up all your 'ratio' parts
and thats how much '1' ratio part has
then multiply by each thing
But like the sum has to be 200.6
Result:
11.805882352941
,calc 11.8 * 4
Result:
47.2
,calc (11.8*4)2 + (911.8)
Result:
200.6
This is like a pre test thingy and I wanna do well we have only learned a basic overview
Before the ratio was sides and now this is angles
Oh wait 2 + 3 + 7 = 180
@violet night this is the final boss
Never mind 10.8166
Clarkie thanks for all the help your a really nice guy lmao
You gave me so much of your time
So thanks
@violet night
no problem bro
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What math course even is this??????
discrete math
College?
yes
Hey, do you do physics at uni?
What's a_n
wym
the physics scouter 
I could tell ur name is a reference to the pauli exclusion principle
Also ur in the physics server 🙂
I don’t take any class in quantum physics
How is a_n defined
what does that even mean
$a_n$
giannis_money
"prove that (sequence)"
how do i prove that
if that's the whole question it makes no sense
its proof by strong induction
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Converting quadratics vertex form to standard then graphing them
whats the question exactly
i have almost zero clue on how i do that
just expand parenthesis
??
and add like terms
like expand (x-2)^2
for the first equation
add like terms and then its in standard form
how do i expand parenthesis
Distribution
the 3?
do you know how to expand like (x+1)^2
i dont
oh thats what u mean
Yes that's how you expand
ahhh yes i did that and missed a step
thats why i got it wrong
ok now how would i graph it
hang on before we move on to graphing
and you have y intercept from standard form and vertex coords from vertex form
for which equation
the first one
yes
very accurate
Vertex is a coordinate point not a value, at this that was what was being asked
um
what is y when x=0
C is the y intercept?
yeah
7
ok so (0, 7)
is y intercept
(2, 3) is our vertex
now u need to solve for roots
if one of the vertex numbers are negative does it make the coord negative?
or only for the k value
only for the bit inside the parenthesis yeah
wait
like
its (x-k)^2+h
so if its (x-5)^2
k = 5
if it was (x+5)^2 then k=-5
is that what u mean?
ok so in the parenthesis if its - then the coord is + and vice versa?
yes
huh
but if it was -3 it would be -3
yes
alr thanks
ok now back to graphing
so the vertext is 2,3
and intercept is 0,7
yes and is it concave up or concave down
um it opens up?
like is it a smile or a frown
smile
gotcha
how would i ffind the roots
urm whatever method you want
i guess because you have in vertex form its not that bad
just like subtract constant and sqrt then subtract the other constant
actually that wont work because u get a complex number
idk factor or use quadratic
just plug into quadratic formula
it might not have real roots
actually yeah it doesnt have real roots because our vertex is above the x axis and its concave up
so u can just graph it
we only have 2 points
thats all u need
so its just a diagonal line?
ok so i can just curve it randomly
yea as long as it goes through those 2 coordinates and is concave up
like this
idk im probably going to go soon but u can just make a new thread
and someone else can help
ah ok
thanks for the help imma make a new thread
actually one last quick thing
what is the formula i would use to find the roots for another problem
so i would do that formula once and im done?
its x= -b +- sqrt(-b-4ac) all divided by 2a
yeah
or just factor if its easier
or this if its in vertex form
theres lots of methods just do whatever
what arethe constants?
if all else fails use quadratic formula
so like
y = (x+1)^2 - 1
0 = (x+1)^2 - 1
1 = (x+1)^2
positive and negative sqrt(1) = x+1
x = sqrt(1)-1
x = -sqrt(1)-1
this isnt the problem we just did right?
just an example?
no i just made it up
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im confused on why the answer is B for this one
ln(a/b) = ln(a) - ln(b)
so why isnt it C?
You can simplify it further
ln e^x = x
Well yes, ln is the natural logarithm and is in base e, log is a logarithm in base 10
ok
thanks
so essentially is the whole topic of logs and ln just simplifying and rewriting these things mostly
?
@glacial birch Has your question been resolved?
ohh i get it now
how is the answer to this one not A?
the correct answer is C
oh wait they just simplified the log 5 625 more
$log_5\left(\frac{625}{\sqrt{x - 1}}\right) \= log_5(625) - log_5(\sqrt{x-1}) \= log_5(5^4) - log_5((x-1)^{\frac{1}{2}}) \ = 4 - \frac{1}{2} log_5 (x - 1)$
looks like the bot isn't working right now
looks like you got it
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Have you made any steps yet?
What could be the starting point
well you could write equations by substiting variables for fruits
@crimson sedge Has your question been resolved?
althought the RHS is different (4 in the link) it gives you an overview about ways to solve equations like this
TLDR: it's hard
very hard
maybe because the RHS is 10 here it's easier, dunno
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hi! i have genuinely have no idea how to work this out
pls help
what have you tried
The outside?
be more specific
like the edges of the shape
the perimeter is the length of the border of a shape
yep
a diagram has been conveniently provided to you
apply the definition of perimeter to set up an equation
yes
no
oh
an equation is what you'd set up and use to determine the value of x
yep
they want the values of x and 3x
im not sure how to find that out :(
ermm
oh SO WE add all x's
OHH
i get it now
it would be 8x
thank you so much
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3g + 5b = p
Pls help
3 variables but 1 equation
There either has to be more equations with the same variables or a given relationship between them for that to be solvable.
Yeah there are just about infinite g,b and p that satisfy this equation.
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What is 0-(-7) and what is -1-(-2)? Sorry, im confused at integers
So it's 7 and 1?
Yup
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But my classmates told me it was wrong
your classmates told you that you were wrong to say 0 - (-7) = 7 and (-1) - (-2) = 1?
Yes
Wait
Can you check this if it's correct?
well your classmates are wrong re: the question you came here with first
is this worksheet just "here's two points, find the slope of the line going through them"?
Yeah, we determine the slope of a line
right, everything appears to be in order here
except that you wrote 7/1 and not 7, for whatever reason. but that's not a serious mistake
What i remember... The answer is "-7/3" or idk if it's "7/-3"
That's the answer my classmates had
-7/3 and 7/-3 are the same thing
For the second one
Ohh
7
For the first one
Because
I think
Positive numbers minus negative numbers equals the positive number plus the negative number
I’m not sure but like
x-(-x)=2x
I think
Kind of like that
yes, i never actually learned about the slopes being not a fraction, so idk about it
ohh
a slope is a number
but i never actually had an answer that is not a fraction
it's just a little odd that you insist on writing 7/1 when you could just write 7 and have it be the same thing, you know?
I forgot how to subtract negative from negative
yes but my classmates answer about "7/3" something like that
your answer is correct!
but the teacher also told me that my answer was wrong
Then the teacher dumb
Put it into a calculator
Legit
,calc (0-(-7))/((-1)-(-2))
Result:
7
did your teacher say anything more specific or just "your answer is wrong and i refuse to elaborate"
well she told me something about "negative minus positive will be turnrd into addition, so it will be -3"
turned*
something like that
...??
does she claim that (-1) - (-2) = -3??
are we talking about the same problem?
yes T-T
im just really confused as to why it's like that
cuz, i double checked my answer and it was literally the same as the calcu
the only correct answer i had was number 1
the 3/4 one
weird
yeah ikkk
maybe you copied some data incorrectly
did u write down the questions correctly
yes, i did exactly the formula correctly
I mean like the actual questions themselves not the formula for slope
yes i did
i double checked multiple times
@crimson sedge Has your question been resolved?
<@&286206848099549185> can someone help me on what to do with my activity?
i'll just copy my previous answers, idec anymore if i just get 1
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$4^{\log_2(7)} = 49$
sla-ppy
oh damn my latex skills on point
my initial thought is that for some reason we end up with 7^2
is that because we divid 4 with the log's base or something?
im not sure whats happening here
or maybe this is a better way to look at it?
yea alright, i think the alternative representation makes it very clear
is it best to just re-order problems like this?
so its more clear
ig
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i don't know if this is the right place to ask but im desperate
is return on equity calculated using total equity or contributed equity??
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@crimson sedge Has your question been resolved?
Damn might as well ask a finance server but maybe just read the wiki article
You might find your answer in the DuPont Analysis
DuPont analysis (also known as the DuPont identity, DuPont equation, DuPont framework, DuPont model or the DuPont method) is an expression which breaks ROE (return on equity) into three parts.
The name comes from the DuPont company that began using this formula in the 1920s. DuPont explosives salesman Donaldson Brown invented the formula in an i...
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Hello there, I don't understand this problem and don't exactly know how to do it.
(edit: i know what it's asking, i just don't know how to solve it)
Try to multiply (one of) the equations so that that you can cancel out a variable
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here is my work for this question
but i couldn't seem to find where i made a mistake
I was trying to use Variation of Parameters (Wronskian) method thingy
<@&286206848099549185>
anyhelp is appreciated i just could find where i make a mistake is probably some basic math
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I have to determine if this vectors span R3, but I don't know how to continue
aren't you already done here? If I remember correctly every row needs to have a pivot and is linearly independent
Can linearly dependent vectors not span?
i mean sure, but i would assume a dependent vector would not be making an additional dimension possible
im rusty with my linear algebra tho so might as well wait for someone else
two linearly independent vectors span R^2, three span R^3
tobyyy 
saves it again 🙏🏻
kind of funny how i was doubtful of such a basic fact, too
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I am given this power series which converges when -13 < x < -5
The estimated sum is
when -13 < x < -5
Question is. How do I determine c1, c2 and c3?
is the estimated sum just the value of the power series?
I think it's meant as the sum from n=1 to N
but it doesn't depend on N?
It hasn't been specified so clearly, so i am not sure
It could also be the exact value
I think it might be that S is the function associated to the power series
It's probable
what have you tried so far to find c1, c2 and c3?
Nothing, I am blank right now. I have the answers, but I am unsure of the methodology
Those are c1,c2 and c3
huh
ok, well how I'd do it is probably try to evaluate my power series in certain well chosen values
since I could in theory exactly calculate the value of the power series for any x, I could get a system of equations that let me solve for the unkowns
the difficulty here is choosing which x to evaluate the power series at
Yea. We know that -13 < x < -5
How would you get this system?
what I mean is say I pick x = -9
then that gives me S(-9) = [something that involves c1, c2 and c3]
but since S is the function associated to the power series, I also get that if I replace x by -9 in the power series, I get S(-9)
This happens to be 0
in this case, -9 cancels the 9, and I get 0^n, which is 0
yeah
and if I evaluate S at -9 I get (c1 - 9)/(-9c2 + c3)
so (c1 - 9)/(-9c2 + c3)=0?
yep!
what does that tell you about c1?
That it's 9
exactly
omg u are a genius
one down
that was the easy one
now you have to choose another x, but you have to choose is so that you can still calculate the power series relatively easily
yeah
I'm thinking x=-8 would make it "easy", so it just becomes an alternating series
good idea
I think it is possible to explicitly calculate that
but not the easiest
is there a way to make it a non alternating series?
wait actually nevermind, alternating is fine
taking the absolute value wouldn't give you S(x) anymore
ok so if you plug in x = -8 as you did, what is the sum?
yeah
sum of those
now
have you seen 1 + x + x^2 + x^3 + ....
the power series of x^n
well sanity check, if you plug in x = 0, you should get 1
its 1/(1-x), that one is good to just know by heart (not that you can't re derive it if you really want to)
and so that power series converges for -1 < x < 1, right?
Oh yea thats from n=0
ah, yeah
I'm used to power series starting at 0, my bad
you're right, x/(1-x)
I don't mean the sum from 1 to N though, I mean the infinite power series
xDD
ok so you want to calculate the power series of (-1)^n/4^(n+2)
is there a way to make that look like this?
Time to think
Yes, but i am messing it up rn
My mind is fried from doing fourier series
I have to go very soon so I'll give you a hint if you want
Oh okay, yes please c:
since 1/4^(n+2) = 1/4^n * 1/2^2, you can factor out 1/2^2 = 1/4 from each term of your sum
so you get 1/4 * sum of (-1/4)^n
since -1/4 is less than 1 in absolute value, you can use the fact that the power series converges to x/(1-x)
with x = -1/4
OY
so you get the value of the power series
haha np
You made it rlly easy to understand
for other values of x, maybe try setting x such that (9+x)^n "plays nicely" with 1/4^(n+2)
but yeah, really using x + x^2 + x^3 + .... = x/(1-x) is the main idea here
Take care!
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Hey guys how to get 12 % of 250 ?
thx
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What is the length of the hypotenuse
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just tell me the answer mf
nah g never
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yes
and the highest degree of power in the denominator is also 2
yup
interesting
so the remainder is 3x+5
after doing long division just on the x^2
I see a little minus sign
so it looks like you're actually doing a subtraction
subtracting x^2-4 from the polynomial above it
i mean that is how long division works
cuz 1 multiplied by x^2-4 is x^2-4
sheit
ok
kinda confused about that part
well, no, I think I get it
so this one for example
x^2 - x
= x
?
watchu get
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Hello, can you explain me what infinitesimals are?
I'm not sure a question like this is suited for a help channel. One of the discussion channels might be better imo
In mathematics, an infinitesimal or infinitesimal number is a quantity that is closer to zero than any standard real number, but that is not zero. The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinity-th" item in a sequence.
Infinitesimals do not exist in the standard real...
uhm ok
and why is that for?
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Hi
explain whats confusing and i could help depending on what it is
is this alg 2 or 1?
are you even still here?
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Hello! I hope that you are doing well. I have a question regarding Rolle's Theorem. I solved this question but am unsure of the answer. May you please check if i made the right steps and got the correct answer? Thank you and here are the 3 pictures that show my work. Let me know if my handwriting is unclear for any reason...
<@&286206848099549185> may you help me know whether my steps and answer is correct?
Hello?
nevermind i got the answer
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wondering if I did this right
You're confused in this step.
Its: (-6x + 9) - (-6x - 36).
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