#help-23
1 messages · Page 135 of 1
what kind of it?
divides the angle in half?
so its equal angles?
if that is the case would this mean CD and DB are the same?
correct!
true..
it can be but not in all cases..you can't assume this to be true and solve this problem
this can be solved without this
tell me the definition of sin, cos and tan now
sin= o/h cos = a/h tan = o/a
what are this o, h and a?
uhm...
can you find BD?
how?
tan ratio
we dont have angle so how we will find it?
same thing!
ohh w8 AD is bisector got it
so you have BC and BD..get CD now then
why were you stuck then at all?
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@hasty falcon You're very good at explaining math, just like a teacher!
agreed
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thanks a lot!
:)
.close
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What do i do next?
Are you able to evaluate (2/5)^3? Also, I'm guessing calculators are not allowed.
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
@inland orchid Has your question been resolved?
i can use a calculator
Then you can first calculate 0.4^3, then divide 8 by that number.
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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
You're asked for the minimum perimeter, right?
So first of all, find the expression of the perimeter 😅
,rcw
Yes, now you have to find the minimum of this (hence this should ring you a bell about optimization problems)
to find minimum perimeter we prolly need to differentiate P with respect to theta
but then do what to that derivative? 
Yes (or better, study its sign)
@keen steppe Has your question been resolved?
;rcw
,rcw 90
;rcw 180
,rcw 180
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
4
part 1
part 2
Yes, it's correct 💪
Sorry for the delay
,w minimize 90 tan(x) + 40cotan(x) for 0 < x < pi/2
Just to verify
@keen steppe Has your question been resolved?
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can someone help me with this question taht is definitelly a math equation
That's a chemistry question, not Math
u missed the joke
Ahn I noticed it right now lol
oh i actually solved it nice
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cool
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i need help with arithmatic sequences.
(a_n) is an arithmatic sequence. The common difference of (a_2n) is 8. What is the common difference of arithmetic sequence (a_3n+1)?
how would i go about solving this? it would be good to mention that i have no idea where to start solving
solved
.close
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another sequences 😭
a_n is an arithmatic sequence such that (a_2 + a_4):(a_3 + a_7) = 1:5. find the integer n such that a_16 =na_1
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
Consider rewriting the terms in terms of $a_1$ and $d$
Civil Service Pigeon
See if you know what to do after that
(btw this is a common technique)
@bold skiff Has your question been resolved?
ill try, tahnkyou
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@lean otter Has your question been resolved?
Would you be able to provide more context?
@lean otter Has your question been resolved?
Instantaneous velocity is the tangent line of the graph given by position over time
If there are two lines, then your graph is wrong or something
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Could someone help me out with this problem?
@granite cape Has your question been resolved?
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Hello.
So sometime a ATGM ( Anti Tank Guided Missile ) is lauched by someone i need to destroy this missile before it hit my tank and destroy it. On my tank i dispose of a turret on the top of my tank i want to destroy that missile with it. For that i need the angle predicted with the speed of the bullet in my turret and destroy the missile.
@lean otter Has your question been resolved?
<@&286206848099549185>
@lean otter Has your question been resolved?
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Just had a quick question regarding complex numbers
I'm aware that if the real part = imaginary part of a complex number the angle formed between the x-axis and the complex number will be 45 degrees
However what if the two numbers are the same although one of them is negative like this for example:
z = m - mi
will the arguement in this case be -45 degrees?
riemann
x=-45 degrees and n=1
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Need help
how do you find the perimeter of a polygon
I don’t know
perimeter is the boundary of the polygon or u add up all the sides
^
yes
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Im lost
,rotate ccw
i need help
why does this look like a test paper🤔🤨
You could connect 'P' to the very top right corner then making another triangle and figure out the angles and side lengths from there
It's a trial paper
Basically ye
oh
Use cosine law
If 3 sides are given in a triangle you can find its angles by cos law
for what?
Idk i have samsung and its just here
I dont know the exact answer but ill check
aight
Hmm i got something else but maybe im wrong
what u get
Ohh yeah its 69 i realised what i did wrong 69.23 to be exact
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Hi! Can someone help me to understand gen. math? I was absent on the first day of class for this subject so I am confused on what my friend have sent me.
I am not sure if it is solved or not because I couldn't understand it at all
L12sg
so where did the following g came from?
Pls rephrase your question because i dont get it
First column f(x) second g(x) third h(x) not rows
It was the question to find g(-1) and your friend solved it by plugging in -1 for x in the function 3x-7
You can close with .close
.close
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How do I get the critical points of $f'(x)=2sin(x)cosh(x)$ to fin the relative extrema?
ren
do u know how to find critical points?
by looking for values that will make the function 0?
yeah (f(x)` = 0
yes
how about cosh(x)=0?
I saw the answer key in my book. they used pi but Idk where they got it
i forgot there was a condition
im pretty sure cosh(0) is 1
wait , sin (0) multiplies with the rest , so the answer is 0
i only know maxima and minima by 2nd order derivative test and that cannot go future , sorry
maybe the reason 2pi was not included in the critical points is because there was the -4<=x<=4 condition
are u sure the first order derivative u provided is correct?
ren
yes
2pi is greater than 4
okay
how do I know what sign im getting when i substitute values to trigonometric functions and hyperbolic functions? is there like a technique?
they used f`(pi) instead of 0 , thats how u can get the answer
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Can someone help me think through a and b
Because i keep thinking about them and i feel like they have the same answer but i dont think thats right
I dont really know how to think about it
@frozen harbor Has your question been resolved?
@frozen harbor Has your question been resolved?
No sir
@frozen harbor Has your question been resolved?
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how can i simplify $64^{-\frac{2}{3}}$
张元英
do you know what raising a number to a negative whole power is equal to?
do i simpliy $\frac{3}{2}?$
张元英
do you know what raising a number to a negative whole power is equal to?
this
Seed
hell
1/x
perfect
apply the same logic to your fraction in order to remove the negative sign from the power
{-1}
use exp rules
no
64^(3/2)
,tex .exp rules
Akira 🍉
apply the last rule
i still have a doubt
use the second and last rule to solve this
$\frac{64^3}{64^2}$?
张元英
64^1?
explain the way you got that answer
i flipped it
flipping doesn’t work here
if you have a fraction raised to a negative power then yes tou can flip
that is what i did
But it isn't a fraction raised to a negative power
-2/3?
You just have 64
$64^{-1} = 1/64^{1}$
dud
Seed
i used the same principle
You're raising 64 (which isn't a fraction) to the fractional power
Only 64/1 is flipped to 1/64
so how do i do it?
The fraction 2/3 stays the same
just give me a step by step
you need to factor the number of 64
2^3*2^3
no
$Whats 64^{1/2}$
Seed
i love texit
Lmao
$64^{\frac{1}{2}}$
@little cipher do you know how to solce the thing above
ah
$\sqrt{64}$
Akira 🍉
perfect
张元英
Yes that's right
now whats $27^{2/3}$ the same as?
Seed
3^2
what
Where did the 27 go
how’d you get that
Take a look at the last rule here again
but i cancel the threes
张元英
you don't need to add 2 because square root has 2
wdym
she is correct on that one though
So now, again $whats 64^{-1}$
OhmzWithBerries
1/64
brilliant
Exactly, now combine these 2 rules
what is $64^{-2}$?
use the second rule
张元英
thats give another answer
1/64^2?
$x^{-y} = 1/x^{y} no matter what y is$
Seed
lets get back to your problem now
Start by «removinh» the negative sign from your exponent
2/3
yes but what does the equation become
$64^{2/3}$ = ?
OhmzWithBerries
what
oh my days
lets just forget 2^3
No it's $\sqrt[3]{64^2}$
OhmzWithBerries
no
张元英
if your question is asking you to simplify it you need start to factor the number of 64
Yes
@little cipher do you know how to factor 64
i think providing a step by step will make it more understandable for her
ok
Yes but it's 64^2 = (2^6)^2 = 2^12
it’s 2^12
give me two same numbers that equal to 64
you know what
oh no
its called programming and not coding
Wrong reply
@little cipher
2^3*2^3
no
Yes
oh my lord
oh no
I asked you to give me two same number that is equal 64
number times number
like that
bruv
2^3 = 8*8 = 64 you are absolutely correct
i mean youre not finished factoring
,calc 2^12
Result:
4096
,calc 2^6
Result:
64
?
i start to question akiras understanding of exponets
Time to boot discord on pc
mobile cant be used to explain a shit
Same
Sorry @little cipher well start from the beginning really quickly
np
Let's stop arguing about the difference between exponents to the power of exponents
Okay, let's go, you're question is the following:
$64^{-\frac{2}{3}}$
Seed
it also could be 4^3
We first "remove" the negative exponent by following this law:
$x^{-y} = 1/x^{y}$
Seed
x/64^2
This means that $64^{-\frac{2}{3}} = 1/64^{\frac{2}{3}}$
Seed
you just making them confused by 2^12 because 2^12 doesn't equal to 64
Do you understand this @little cipher
we're one step closer to the mystery
we were talking about 3sqrt(64^2) -> 64^2 = 2^12
now that we threw the negative sign in the trash, we begin to try to simplify $64^{\frac{2}{3}}$
Seed
then just substitute it for the denominator in the fraction $1/64^{\frac{2}{3}}$
Seed
$\sqrt[3]{2^6}$
张元英
you mean $\sqrt[3]{64}$ not $\sqrt[3]{64^2}$
Akira 🍉
ah yes here we go again
you're wrong
the question was not 64^1/3 it was 64^-2/3. let's stop.
well uh
you can just power it after
you root it
uh k
nvm
it's you again
yeps
$64^{2/3} = \sqrt[3]{64^2}$
Seed
Understand that
^^^^
don;t worry
you forgot negative bro
this help channel is becoming a battlefield
That is the correct way. Do you undestand it?
don't worry
$64^{-\frac{2}{3}}$
Akira 🍉
you kinda missed it
akira do you mind letting me take over the explanation then hand it over to you if it doesn't work for me
Seed
yes
boy how
Okay, let's now try to know what $\sqrt[3]{64^2}$ is equal to
Seed
$1/2^6$?
张元英
you sure about that
,calc 2^6
Result:
64
aj
,w simplify 64^{-2/3}
akira
brub
can we agree that I can take over and then you take once i fail
that assumes that i fail
almost
Result:
1.844674407371e+19
,calc (2^4)^3
Result:
4096
welp
$\sqrt[3]{64^2} = \sqrt[3]{64^2} = \sqrt[3]{4096} = \sqrt[3]{2^{12}}$
Seed
do you understand this @little cipher
yes
i need another yes to really confirm
1/2^4
do you understand this
wt* isn't it just 3√64=4 and 4ˆ2=16?
so you can factor 64 = 2^6 thus $\sqrt[3]{(2^6)^2}$
I hate texit
,calc 2^4
Result:
16
screw latex
OhmzWithBerries
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
yes I believe that's right
$ \sqrt[3]{2^{12}} = \sqrt[3]{2^{4} * 2^{4} *2^{4}}$
texit aint responding
even texit left this chat
ah yes
someone help
fantastic
张元英
$\sqrt[3]{2^{12}} = \sqrt[3]{2^{4} ^ {3}} $
no space between text and "$"
alright this originated from this crap
64ˆ(-2/3)=1/(64^(2/3))=1/16
YES YOU'RE AWESOME
np
THEN WE KNOW THAT $\sqrt[3]{2^{12}} = 2^{4}$
bro no SPACE
god hlep me
Seed
YES
yipee
you tell us the answre
the answer is simply 1/16
tell us the answer
spoiled the entire movie
HE KNOWS
it wasn't a movie
I AM THE ONE WHO TOLD HIM IN DMS
was as long as one
STOP USING THAT
gtg you got it
||it was a sdsfd*x film||
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can someone help
Write it as cos(...) = ...
so get rid of the 4 first?
Even -4
so rewrite the rhs as 2sqroot(3)/-4?
You should get $\cos\Big(150+\frac{\theta}{4}\Big) = -\frac{\sqrt{3}}{2}$
rafilou2003
$\frac{2\sqrt{3}}{-4}$ can be simplified...
rafilou2003
but how is it equal to -sqroot(3)/2
/2
2/4 = 1/2
So simplify
$\frac{2\sqrt{3}}{-4} = -\frac{(-2)×\sqrt{3}}{(-2)×2} = -\frac{\sqrt{3}}{2}$
rafilou2003
yeah but
when i solved both on the calculator, i got different answers
Did you remember to put parentheses ?
I know my calculator will give me the same thing, i don’t have to try
wait nevermind
i forgot 1 parenthesis...
ill try to solve the rest of the requation now
equation*
rafilou2003
so what do i do now?
?
dude...
.close
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What is meant by effective matrix powering (exponetiation)?
A polynomial-time algorithm for calculating Aⁿ
That's the common meaning of effective, but it can be different in some cases
i think they mean this: A^2 = AA, A^4 = A^2 A^2, A^* = A^4 A^4, etc...
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so for #2.
teacher wrote parent graph: y = e^x
and Im just wondering why he wrote it and drew it
why is it important?
Because y = e^x is the exponential function in its purest form without any modifications
So your teacher wrote it to help you visualize the modifactions made in the problem function
a parent function is basically the "base" function of which you do your transformations to.
Same thing with something like y = 3x - 2. Here, y = x is the parent function
bingo!
ooh i see why it's important now lol
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How does step 3 work I think im reading it wrong
,rcw
it's completing the square, twice in parallel
wdym by twice in parallel
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how would i find these things using my bivariate data set?
@fast sage Has your question been resolved?
.close
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Hello! I need to prove this
what do these overlines mean?
vectors
ok so x, y and v are vectors
yes
and what does ( , ) mean?
it's the dot product
also it's unclear what is to be proved from what
you want to prove that if x = v then (x,y) = (v,y) ?
I want to prove that (x,y) = (v,y) becomes x = v
that's all I was given
oh forgot that lil thing there
ok so you got that x-v is orthogonal to y
again for every y
do you know which vector is orthogonal to everything?
x-v is orthogonal to y, yes. for every y ∈ R^n.
@pliant void Has your question been resolved?
So does the y even really matter?
it matters insofar as it is under a for all quantifier.
you didn't answer my question:
do you know which vector is orthogonal to everything?
oh sorry I misread your question. I think it's x?
@pliant void Has your question been resolved?
Well thanks for checking and answering my problem! I'm going to free up this space and think well all the things you said. Thanks again! :)
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I have these two statements where i need to put equivalent or implication sign between A and B, since these two suggests that there are no implication or equivalence what sign am i supposed to write inbetween?
I got that in A, x can only be -3 or 0 and in B: it is -8 so im confused
Is it possible to write an equivalence sign and write a line through it to show that there are none?
Like this
nvm ill just put it like this and ask my classmates how they did it
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Hello, can anyone solve this linear equation with the Gaussian algorithm?
And show me how you did it, because I couldn't find any solution...
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question B
Can’t even read this hand writing
that’s what i did i was wondering if there was another way to do it bc it’s 4 marks and all i had to do was use a calculator i’m not sure if there js another way
right basically i got the x solutions using a graph on a calculator and was wondering if there is a way to solve question B another way because it’s 4 marks?
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@full grove Has your question been resolved?
@full grove Has your question been resolved?
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What is υ, ρ, and φ used for?
And ε too
whatever you want them to be used for
Physics? I don't know.
rho is usually density
I know.
flux is the third one
m = ρh
awesome
who uses u for velocity
I don't know. I learned this from some AI stuff.
Idk
I dont see any reason for knowing symbols that can be anything
that's not even u that's upsilon
and also don't learn physics from the lying machine AI
usually v for velocity, m for mass, ρ (rho) for density
Lmao but I like to use these symbols more than the Latin letters to make it look more genius
It's kinda cool tho
not the point of physics
it's not working
i don't even bother to use μ for micro most of the time
Scientific terms?
I find it stupid
like if i'm talking about micrograms i'll just say ug
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how did 2/3 b become 5/3 b??
Read the steps
i did,
Are you sure?
(2/3)b + b is the same thing as (2/3)b + (3/3)b = (5/3)b since we can the implicit 1 as (3/3)
1 = 3/3
what?
im sorry, im not very experience in math, even at this level😅
$\frac{2}{3}b + b$ is the same thing as $\frac{2}{3}b + \frac{3}{3}b$. Now you combine like terms to get $\frac{2 + 3}{3}b = \frac{5}{3}b$
MellowDramaLlama
where did 3/3b come from?
evaluate 3/3
wdym?
Divide 3 by 3
can this be applied with any number too? can i use 9/9 instead of 3/3?
yes, any number divided by itself is 1, (as long as the number is not 0)
Not the same denominator
oh i see, it has to have the same common denominator like 9,6,12...?
Not sure where you're getting examples from
like, does any number as long as it has a same common denominator as 2/3?
the denominator of 2/3 is 3, you add any fraction with a denominator of 3 to it, you can change 2/3 to 4/6 or 6/9 etc, but for the problem it's easiest to leave everything with denominator 3
oh ok, i was just wondering, thank you ^^
how is it -7/2? i got -5/2?
@clear gazelle Has your question been resolved?
@clear gazelle Has your question been resolved?
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why is cos() equal to the x-coordinate of any given point on the unit circle?
what is your definition of cos
if you just go with the triangle definition of adj/hyp, it's pretty clear as soon as you draw the triangle
yes thats my definition
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When dividing by Ruffini's method, the following scheme is obtained:
If Y = -A, find the value of D + A + G + E + N + P + R + Y.
A) 2
B) 8
C) 1
D) 4
E) 6
@keen steppe Has your question been resolved?
So do Ruffini
For example D=2
Then 2A=-6 and so on
Keep doing and you'll reach the solution
@keen steppe
@keen steppe Has your question been resolved?
alr, what is this for tho?
<@&286206848099549185>
@keen steppe Has your question been resolved?
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Is there a term that is commonly used for the result of any binary operation? Like a non-specific version of product or sum that could be said about any arbitrary group?
The output.
That seems like something I should have been able to figure out lol thank you!!
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Ive been doing research for a while and i seem to cant find any real life example of “power of a product”. Is there any?
@upper aurora Has your question been resolved?
@upper aurora Has your question been resolved?
What do you mean by power of a product?
what do you mean by that
ah i see you mean $(xy)^n = (x^n)(y^n)$
most likely to honorable
Yes
okay this isnt really a great example but say you own a company and you have some number of employees. say you have a bizarre policy where every christmas you pay every employee 1 dollar for every employee you have. so if you have 100 employees, you pay each of them $100 every christmas. now, say you have 8 departments in your company, each of which has 7 employees, and you want to figure out how much money you are gonna have to spend this christmas
your number of employees is 8 * 7, so you need to pay them each 8 * 7 dollars. therefore your total cost is (8 * 7)^2.
alternatively, you could apply this rule to conclude that you are in total going to owe (7)^2 * (8)^2 dollars
this doesnt make much sense im sorry it isnt a super applicable concept
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How do you do number 45?
so you know that there's a root in between there since the signs are different
take a guess where it might be and evaluate f at that guess
Wdym by a root?
f(x)=0?
There’s a point where x=0 according to ivt since it changes sign from - to +
Yes
Guess
Then refine your guess
Or in fact just use a few iterations of newtons method
I guess f(0.2) is valid?
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$\int_{5}^{3}x^{2}\sqrt{3}$
BOSS
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If Y = -A, find the value of D + A + G + E + N + P + R + Y.
A) 2
B) 8
C) 1
D) 4
E) 6
This is what ive done but we have more variables than equations
<@&286206848099549185>
Ruffini is not done like that
D=2 then you have 2A=-6.
Then G-6=1 and 1·A=N. Then E+N=-4 and -4A=R. Finally P+R=Y
@keen steppe
This precalculus video tutorial provides a basic introduction into synthetic division of polynomials. You can use it to find the quotient and remainder of a division problem with polynomials. This video contains plenty of examples and practice problems.
Algebra 1 Review:
https://www.video-tutor.net/algebra-for-beginners-basic-introduction.h...
You sure?
I’m so confused
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Can someone please help me with the following exercise ?
In a box there are 6 red 3 white and 1 black balls, where each individual ball is equally as likely to be picked, so (1/10).
You pick 3 times with putting the picked ball back each time.
Random variables:
Y : number of white picks
X : number of red picks
What is P(Y>X)? meaning the probability that you pick more white than red balls.
I figured I might do something like
P(Y>X) = P(Y-X>0) and then say Z = Y-X and Z(Omega) = {-3,-2,-1, 1, 2, 3}
and now I'd have to determine
P(Z>0) = P(Z=1)+P(Z=2)+P(Z=3) but then again I struggle with determining each of these because I dont really know how to handle those two random variables at once.
I wanna note that in this chapter of the book I use the concept of two random variables at once hasnt been introduced therefore this should be solvable without stuff like
P(Y=3, X=0) .
Thanks for your help !
i can't seems to understand the question, does it asks for the X,Y
it asks for P(Y>X)
and the reason?
exercising math skill
i can't understand it
wdym by P(Y>X)
I am sorry I thought I wrote everything down in my initial post
the probability that one picks more white than red balls
tbh I think they messed something up and put that exercise in the wrong chapter because I see no way of solving this without the knowledge about joined distribution and stuff like that
@lusty spear Has your question been resolved?
I wanna note that in this chapter of the book I use the concept of two random variables at once hasnt been introduced therefore this should be solvable without stuff like
P(Y=3, X=0) .
i think the problem becomes impossible if you forbid yourself from using such events in any capacity.
yes yes I agree. Its just that I dont understand why someone would put this exercise in that chapter then but anyways
i mean come on, even analyzing anything about a 2d6 roll becomes impossible with such a prohibition in place!
i would write out a joint-distribution-table-in-all-but-name for X and Y tbh
then just add up all the probabilities corresponding to cells with Y>X
what exactly does " joint-distribution-table-in-all-but-name" mean ?
I mean I know what a joint distribution table is
but what is in-all-but-name
yes I will do that then , thank you very much !!
it just means you do not call it a joint distribution table
so that you do not incur the wrath of your professor for using unauthorized concepts
oh no no dont worry
the exercise is just for myself
thank you very much for your help !!
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Find the surface area of a cone with a vertex of 50 degrees and a slope length of 4.8 cm
My main problem here is what the vertex being 50 degrees actually means for calculations as well as what the formula for surface area of a cone is and Google hasn’t been particularly helpful based on the information given
draw the triangle
I think they meant the angle at the top being of 50 degrees measure just like in the cone that you have drawn
I think one triangle is enough
if you're lame, sure
Draw a line from the top of the cone to the center of the base circle, you have formed a right triangle where you know one of the acute angles and the hypotenuse