#help-10
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how do I do that/
construct a truth table
list all combinations of inputs and their corresponding outputs
see if they're the same
ok
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Thanks!!
I was wondering if anyone could explain dimensional análisis like dimensions and the graphing thing I’m not sure how it’s called
By doing that (2x+1) in numerator and denominator scrap off and I think that's furthest simplification u can do
What does x axis represent
where?
Your graph
ehh im not sure the teacher just said something or rise over run and left us at that
from what I understood you find the positions in the graph or whatever and put them in rise over run format to figure out its speed
but im mostly confused about conversions
so we have km hm dam m dm cm mm
To go from one lower to next one is x10
1 m is 10 dm
So we have 158.2cm
https://youtu.be/kOJFSH_Bn9U actually watch this video
Welcome to how to Convert Metric Units of Length with Mr. J! Need help with mm, cm, m, and km conversions? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you need help with converting metric units of length. Mr. J will go through the following conversions step by step for mil...
@glad karma Has your question been resolved?
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I don't understand why the answer is the last one
Can anyone please explain it to me
In the last one, after you separate, you have 1 - (integral)
Since your approximation overestimates the integral, when you subtract the estimate, you're subtracting a slightly larger number
And when you subtract a larger number, the difference becomes smaller
but isnt -fx just a reflection
in the x axis
so wouldnt the overestimation,be the same
You're overestimating the integral, but that estimate is being subtracted
Like let's say the integral is numerically 1.9, but your estimate gives 2
Np
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i need help factoring this please
first what is x^2 - 22x + 121 factored @versed gyro
@versed gyro are you familiar with “difference of squares”
yes
@versed gyro Has your question been resolved?
i give up on life
@versed gyro Has your question been resolved?
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Is matrix A invertible if $L_a$ is invertible
L_A usually denotes the linear transformation defined by the matrix A
Sure
it might also be the linear map that is left multiplication by A
All matrices with constant entries define some linear transform
no way to know without context
Yeah, I just took a look at my old lecture notes and the only L_a was the linear transformation, but who knows what yours means
@thin pine Has your question been resolved?
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yeah
hmm the answer isnt 20
-3 - 10 + 13 isnt 20
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I got up to here but idk where to go now
They're polynomial functions, meaning that there's no value that when raised to a positive integer power that will result in something non-permissible
this is why the domain of all polynomials is the set of reals
and that applies to this
✅
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solve for x
maybe I'm dumb but I think it needs to equal to something to find a value for x
i tried multiplying the denominators from all equations with each other
also again I may be wrong but if the fraction is equal to zero then you only care about the numerator since the only thing that divides into zero is zero
my guy what is a wolfram alpha??
it is online calculator
but only thing that divides into zero is zero
so you only have to set your numerator to zero and solve that
is that easier to solve for you?
0/y = 0 for all values of y except for 0 in which case it is undefined
bro im not looking for imaginary solutions btw
yes
well nvm
the paper never says its = to 0
it just says to solve this
CHRISSY WAKE UP
just checking if that's the cmd
really? why?
,w (((2x)/(x-1) - (3/x))/((-2)/(x-1) - 4)) = 0
what divides into 0 that is not 0
multiply denominator on both sides vanishes it
oh that too

yeah there are only imaginary solutions
oh damn
i think my teacher is a son of a bitch
idk how this works
you forgot =0
I think yours works
I just put too many parenthesis cuz I hate inputting stuff like this with keyboard
when it equals 0
0 * anything = 0 so if you multiply that messy denominator on both sides it cancels
i think i did something wrong when i did it
if you have $\frac{a}{b}=0$ you multiply both sides by $b$ you get $a=0$
jswatj
yeah latex is helpful I am on phone and lazy as well
,w (((2x)/(x-1) - (3/x))/((-2)/(x-1) - 4)) = 0
those
did u use the pythagorean theorem to get that??
bro what is your teacher teaching you
its in pythagorean theorem format
is it??
if you want to simplify it, its just $\frac{\frac{2x}{:x-1}-\frac{3}{x}}{-\frac{2}{x-1}-4:}=\frac{2x^2-3x+3}{-4x^2+2x}$
that's just how you write complex numbers
jswatj
how do u solve for x
oh yeah maybe they want you to simplify
when its simplified like that
if there's no equation then you can't solve it
yeah you need it to be equal to a value
its = to 0
lmao
i'd suggest reading this before starting this exercise
bro
how did u get the complex solutions?
jk of course
solve $2x^2-3x+3=0$
jswatj
right
why cant i solve the bottom
cause bottom vanishes remember
its still there
alright ready?
yes
$\frac{2x^2-3x+3}{-4x^2+2x}=0 \implies 2x^2-3x+3=0$
jswatj
ohhhhhhhh
u just multiplied by the bottom part
and because thats = to 0 it disappeared
mf bottom part
yep
right I agree completely
this is wrong
its discrimination against the top part
always confusing them kids
and making them think the bottom part matters
and when they think the bottom part matters, they totally ignore the top part
and then the top part feels discriminated against
yep
im so glad we're in agreement on this issue
@shadow estuary Has your question been resolved?
eddie wake up, i dont like this
you know, this isn't the first time we've met
hey, helloooo?
time to wake up! time to wake up! time to wake up swatty
swatty wake up
i don't like this...
swatty wake upppp!!
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It says composition of f and g at 3, not their product
Can you workout the problem pls
you should try it yourself first
i don't recommend guessing and checking
follow lessons like
https://www.mathsisfun.com/sets/functions-composition.html
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Is the answer 16,777,168
lots of context missing. how many original dna molecules are there
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do i need to use u-sub + ibp here?
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cosx=t
yep
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how do I approximate the zeros of $f(x) = xe^{-x} -\frac{1}{4}$?
suspect
also the function is concave between 0 and 1, so the newton method will work, and if you approximate it for 2 and 3 you will see that there is another zero, and its convex on that interval
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Hello, can you please help me to solve the following question: when can I model an object of study as a particle and when as a rigid body?
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h
What is the formula of the sequence please ?
@kind talon Has your question been resolved?
i think they may want the explicit formula
in that case you're going to need to solve the linear nonhomogeneous recurrence relation
what is a() please @versed cave @mint tendon
I don't understand the formula
for example if I want to get the first number in this sequence what should I do?
the second number
its a function defined by the terms that come before it
you have to set some sort of "seed" for it
and for this equation you need 3 seeds, since its a third order linear recurrence relation
from here you can find any positive integer value
but you need to know the terms that come before
if you want an explicit formula that doesnt depend on that, you'll need to solve the recurrence relation
yep
its not fun but it does exist
do you want to know how to arrive at the formula or just the formula itself
this doesnt seem like hw so im willing to go with the latter if you are
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@kind talon
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A hyperbola passing through (8,6) consists of all points whose distance from the origin is a constant more than its distance from the point (5,2). Find the slope of the tangent line to the hyperbola at (8, 6).
I'm not really familiar with hyperbolas, this is an implicit differentiation exercise
ignore that
first find the constant
you can do that by finding the dist from (8,6) to origin and from (8,6) to (5,2)
@undone finch Has your question been resolved?
Okay its 5 right?
@undone finch Has your question been resolved?
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I know the problem isn’t done yet. Still need to take the derivative but is up to here looking fine? I’m not used to all the addition/subtraction signs on the bottom
@timid silo Has your question been resolved?
huh you didn't differentiate the LHS
you're supposed to get 1/y (dy/dx)
on the lhs
one moment
it’s ln (xtanx)
thank you! i appreciate it
np
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Any help?
which problem are you having trouble with, and what have you done so far?
Sry for late response I’ve done them all just wanted to see if I’m right not
For 1. I got lim Cos(x) = 1 = Sec (x) lim
Under the lim is x -> 0
- Lim x/sin (x) = 1
x->0
- I'm kinda confused
why did cos(x) and sec(x) work for parts 1 and 2?
@gray creek Has your question been resolved?
I used the graph to see that cos (x) is below Sec (x)?
For Part 2 I saw that all the function approached 1
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@fluid snow Has your question been resolved?
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When buying something in bulk i. e. 10x it gets a discount. This means buying 9 is more expensive than 10 and idk how to get that into my function?
The problem is as follows: somebody buys tread and makes gloves with it.
every roll has 50g in them, and 120g is needed for a pair of gloves
1 roll cost 12.95$, and 10 cost 89$
p = sellling price and x = gloves. y = profit
what i have written will only buy the thread neccessary but how would i make it buy more when cheaper?
@grave sand Has your question been resolved?
no, but noone answer goodnight all
.close
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Good afternoon, I understand the problem up until Part 6. I am unsure where they are getting 41/25 from and could use some help
@red pulsar Has your question been resolved?
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Just wondering if I did this right, it says to write your final answer in terms of f(x)
i can help
seems right
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You need a dx at the end
Also it looks like you wrote as subscript instead of in the middle of the integral sign which looks a bit confusing
Says my answer is incorrect
Not sure where I got it wrong
I guess i should change (x+4) to just x?
@primal idol Has your question been resolved?
Idk, I would try splitting the semicircle into two parts tbh
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so im quite confused on what this last question is asking me
i know that constant speed = 0 acceleration
there are threee parts to this question, this is the last
first asked for acceleration of the car which A= 2.6 m/(s^2)
second question is what t is, t = 9.2s
then the last, finding L
which am not sure what to do
It's saying, when the car travels the length of the ramp, how far does the cars on the freeway travel
would the 24m/s be the change of velocity or the final? for specifically this part
ok i understand that, do i use the kinematic equations to solve this length of traffic?
No, I don't think you need that
Recall that $v = \frac{d}{t}$ where t is the time it takes for the car to travel the length of the ramp
dldh06
If you have that time, and you have v, you can find d
Yes
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Do you remember triangle inequality theorem?
Sorry, I don’t
Triangle inequality theorem states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side
This inequality would be redundant
You always want x in the middle in the case of a compound inequality
What is 9.7 + 18.7?
28.4
Yes, so the side length must be less than 28.4
That is ONE condition
We have another condition to satisfy
oh ok
so 28.4 would be at the very back
28.4 would be your maximum
The next condition you have to satisfy is the minimum side length
9.7 < x < 28.4
oh okay
9.7 is not the minimum
Is it 9.3
The sum of the new side and the 9.7 must be greater than the largest side we're given, which is 18.7
9.7 + x > 18.7
Solve for x (minimum side length)
Then you plug that into the inequality and you get your answer
The format for an inequality in the context of this question would be
minimum side length < x < maximum side length
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The perimeter of a rectangle is 76 meters. Find the length and width if the length is an even integer and the width is 3 times the next consecutive even integer.
Length = ? meters Width = ? meters
I just have no clue on how to do this
length being an even integer means that length L is equal to 2k for some integer k
then what is the next even integer?
is 2k+1 even?
it's an integer number
think about what it means for a number to be even
devisable by 2?
yes
now think what would be the next even number if you already know that 2k is even
it's just an integer number, nothing else
well what's special about even numbers here: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ... ?
they are smaller even numbers
"smaller"?
don't you see how there's always an odd number between two even numbers?
oh yes of course
ok
and then
there is an odd number
and then another even
no matter what even number we begin with
so what's that number in terms of k?
if you go from 2k to 2k+1 then is 2k+1 odd or even?
odd
well then what's the next even number for 2k?
2k+2
now go back to your problem given that you now know that length is 2k and next even number for 2k is 2k+2
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If a computer program generates all the permutations of a set containing 10 elements and writes the output to a file at a rate of 1000 permutations per second, how long will it take to generate all permutations?
Do you know how many permutations there are of a set of 10 elements?
Only if it's producing new permutations only
If it's producing a random permutation, then it's a coupon collector's problem
Also called sampling without replacement
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I need help finding a equivalent proposition and proving it as asked in part b
Hints: De Morgan, writing implications as or statements, distributing
@brazen kite Has your question been resolved?
<@&286206848099549185>
would u like to try again
the hints here are sufficient
Is some of my work right so far?
when it says "construct a truth table" that might be part of the requirements of the question
I did construct one
idk but i feel the second step isnt necessary
here
i also think u should express it in a more clearer manner
state that ur using implication equivalence
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.close
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Can someone please help me, I have no idea how to do it and I’m so confused : , )
I think
x^2
3x
2
are the terms
Can you explain pls🥹 @rain mountain
don’t give answers btw
Ohhh, I get it now. So it’s just the operations that make up the thing
yeahh.. I guess
here’s a nicer definition:
Terms are single numbers, variables, or the product of a number and variables.
separating an expression into multiple parts and those parts called factors. (simplify to single numbers or single variables)
Wait so then which are the factors
indeed
If u have an expression like 9(x+5)
9 and x+5 are the factors
Oh, I didn't know that.
It’s fine, it actually let me out 2 and 2 together and sort of figure out myself almost

Nah, It's fine
it happens smtimes
Thank you guys 
np
np
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My professor tried to show this example 5 in class and it just didn’t click could someone please help.
there's like just two sentences for example 5
The second page is just the solution
I can’t even follow it
I had to watch a recording of the lecture and his voice keeps cutting out so it’s hard to follow
then show it and point to where you get lost
Yeah and how where he gets the -30 degrees
I also forgot the radio for a 30 60 90 triangle because I took geometry in 2015 so that confused me as well
But I really just don’t know how to go about solving an application like this at all
it's given
you just have to draw the triangles after setting up the coordinate axes to be on the block
I guess the only thing I can do is try to watch the example again
I’m sorry I’m just more visual than anything so trying to explain it in words doesn’t help much
then try drawing pictures?
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The number of cents in $x
do you know how many cents is in a dollar?
divide by 100??
use dimensional analysis if you want to be cool
so x/100?
100
100x
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✅
ok so
lets convert the price to dollars first
to convert dollars to cents, you multiply by 100
to convert cents to dollars, what do you do
divide by 100
uhm
yes
and since that's price per book
and there is x amounts of books
how do you find the total price
y/100 times x?
yes
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np
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im using dlh to find a limit
and im about to finish the exercise
how to do this simple algebra😂
Limit tending to what?
what's this
idk how to do this i swear lol
yes
and then move 27 to the rhs
yes
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elo
hi sorry how does this work
so for the z/πn π(1/z - n) thats just factoring out z/n from the bracket
then the denominator you have
$\sin(\pi/z) = (-1)^n \sin(\pi/z - n\pi)$
夢雪
there should be a negative sign here
$\qty(z - \frac1n) = -\frac z n \qty(\frac1z - n)$
夢雪
@stable rain
i thought you were gonna say you're in teyvet 
this one
i got the same but negative?
i thought you had eyes
i was at the top man
it popped out of the top of my empty head
thats just
sin repeats
pi periodic
ok so
what happened
@wild swallow
wait wrong
how did we get that
i thought we would sub z=1 into the holomorphic part or smt
idk what they got or how
not sure why they rewrote it with (z - 1)
this is probably easier than doing the residue
im also not sure whats gg on
ok..
but for understanding
whats he doing
or what did he do
w8w8
wrong example
w8
wtf
sry
i
yea i got the right one deleted it n sent the wrong one
sadge
?
aka howd he get to the 2nd last step
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thanks
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Not quite sure how to do that
So I was able to get the speed using pythagors
But I'm not sure how to work out the angle
can someone explain the process needed to find the angle
If you consider the speed of the current adds up to that of the yacht use vectors
Try creating one movement vector for the yacht and one for the current
Because you know the "length" of these and the angle
Sorry i have trouble reading this
if it's going south east, wouldn't it be 315 Degrees
Try getting south east direction as an oriented angle
Yes exactly
Now i believe you can calculate what that vector wiln be
Answer using complex numbers
||v= cos (315) *10 + i sin (315)*10 ||
Since i dont know how to wrute a vector here
would we need unit circle trigonometry
Then 9nce you know both vectors you should be able to solve it
?
Like thats what cos and sin are based on
But apart from that i dont think so
I see
Just try to understand rhat every force and movement is a vector
i see
ooh wow
never seen it tbh
Just now once you have them is vectors you can add up every force with eachother or every movement with eachother
This vector unit was taught to me when I was 14, i'm currently revising it about a year later, so I'm not sure if that rule would be needed
But dont forget to follow your teachers method
Ooh
Then im giving you the idea of how to solve it
But use your teachers method
Just in the formula i gave you the "i" is somethign youll see later
Just dont forget to keep the two dimensions separatr
Dont add x coordinates with y coordinates
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im on part D
wouldnt it just be 23+2.4sin(πt)≥24.2
in the domain of 0≤t≤8
but im confused on how to do this without a calculator (even with a calculator my calculator doesnt give any values, it just says [6.283constn(1)+3.665≤x≤8 and x≤6.283constn(1)+5.759])
my calculator is the Casio Classpad fx-CP400
@dreamy current Has your question been resolved?
You are correct with 23+2.4sin(πt)>24.2
From that, you get 2.4sin(πt)>1.2
Then, sin(πt)>0.5
Sin(πt)> 0.5 when 5/6>t>1/6
Using the fact that the period of sin is 2π, we know that every 2 hours the cycle will repeat
Since the total timeframe in the question is 8 hours long, from 9am to 5pm we can figure out that there will be a total of 4 repetitions of the cycle
Therefore the total amount of time Freddy feels thirsty will be equal to (5/6 - 1/6) x 4 hours
which is equal to 8/3 hours or 160 minutes
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why is this false but when i remove the t it will be true
this only works with constants?
@lusty steppe Has your question been resolved?
<@&286206848099549185>
t is not negative
So it doesnt get pulled to the bottom
for example, raise the inside to the -1/15 power first and leave the T outside
Simplify inside then bring the T in
yes, you dont know right now if the integer value of t is + or - so you treat it based on its sign
Ok
Try -ln([7/2]^t)
There may be some rule with negatives going into the power with ln's that I might be forgettinf
okkk
can someone explain why this rule doesnt apply with variables but it does with constants?
i cant figure it out
yea...
I will try something one secend
alrightttt
idk is it because the actual variable t could be negative so -(-t) = t
and it would only apply if the variable t is >= 0
i cant think about anything else
They are equal
all values are defined
And equal
Try typing ln([7/2]^(-t))
Might be because it doesnt want u to simplify?
it looks like your on mathway
what does it say is the rigjt answer?
it doesnt say anything, i am just comparing two sides and "verifying the identity"
am i missing something
how is this not an identity
Mathways is bugging
yea...
i need to look more into wolfram to see if theres some identity verifications
all properties i listed are literally the same
mathway is weird
I see
Always has been
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is this question broken? how do you prove its arithmetic
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@sharp iron Has your question been resolved?
The results in the table are good. What are the results next to the table?
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I'm having issues trying to graph and also write in interval notations
the solutions I got was x is less than or equal to 12 and x is greater than or equal to 0
Hey guys. Can someone help me or give any advice on modeling differential equations. Ik its a big part of theoretical physics but im just not getting it. I never got stuck like this in any topic of math like tensor calc, mult. calc or anything. Any tips cuz im clueless
.close
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Hello, when dealing with conics - what does it mean when they say a conic (e.g elipse or hyperbola) in 'standard position and orientation'? I'm not sure what the bolded term means.
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Are you able to use the quick method to solve this quadratic equations since I tried and couldn’t. Are there certain equations that you can’t use it in and have to use the method? Since I don’t know why I can’t
Yes it that.
It when you find the factors of 3. Then you choose which number you have to times by 8 aka 3 or 1. Then you have to add them to get 10
But it doesn’t work for this equation
Wdym?
actually it sounds like you are looking for a facorization over the integers
since you say factors of 3
but that might not exist
So that why it doesn’t work?
,w factor 8x^2+10x-3
yes, it does not factor over the integers
Wdym by factor over the integers
you can't write it as (x-a)(x-b) for integers a and b
but I'm still not sure exactly what your initial method was
I know that the method. But there a video that has a shorter method so I can skip all that
But for some reason it doesn’t work for all types
what is the shorter method?
What this video then skip to about 15:43
A video revising the techniques and strategies for working with algebraic fractions. (Higher Only).
This video is part of the Algebra module in GCSE maths, see my other videos below to continue with the series focussed on equations and sequences.
These are the calculators that I recommend 💎
Casio fx-83GTX Scientific Calculator, Black - https...
That the method I’m talking about
I tried that method for the problem I showed up top
But it doesn’t work
I don’t know why tho
That my question
its because when you have 8x^2 you dont know how its going to split in the brackets
it might be (8x+stuff)(x+stuff)
or (4x+stuff)(2x+stuff)
Is there away for me to know or no
not really, the reason it works for his example is because (2x+stuff)(x+stuff) is the only way to get 2x^2 out
not going to work for 15x^2 is it
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Can someone help with question 3b
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i have an abs value limit