what do i do
#help-0
alpine sable
what do i do
can you give me the qustion
trail cairn
Amy and Ben live 17.2 km apart. They cycle to meet each other. Ben travels at
12 km/h and Amy travels at 10 km/h.
a How long (in minutes) until they meet each other?
b What distance have they both travelled?
gray isle
setting up your equation and fixing units
you had
12x+10x=17.2 (where x represents the time in hours)
do you have any issue with that so far?
trail cairn
nope
gray isle
then continue solving
trail cairn
i dont know what to do
gray isle
can you simplify the 10x + 12x
trail cairn
22x
stoic ledge
And that is equal to? 17.2 right?
trail cairn
And that is equal to? 17.2 right?
what
stoic ledge
22x = 17.2 right?
kind forum
can anyone help with this??
lone heartBOT
can anyone help with this??
kind forum
hello?? someone is typing??
graceful sluice
Hello guys, I need to prove whether this group is maximally consistent or just consistent,
I would be happy to help which organs fall into the above group
kind forum
ummm what??
graceful sluice
Hello guys, I need to prove whether this group is maximally consistent or just c...
In classical deductive logic, consistent
pseudo ice
Hello guys, I need to prove whether this group is maximally consistent or just c...
Sorry, you’ll need to post this in another channel, this one just got taken not too long ago! 
vale wigeon
@graceful sluice open your own channel. #❓how-to-get-help
@kind forum so you are looking at the problem and its solution but there is something in the solution which you do not understand, is that so?
slow vine
can anyone help with this??
isn't it solved
kind forum
i dont really get what variables they re using and how 4x and 3x came
vale wigeon
Let the perimeter and breadth of the rectangle be 7x and 2x, respectively.
do you understand this line?
kind forum
yes
vale wigeon
7x = 2(length + 2x)
and this line?
kind forum
whats the bracket mean
vale wigeon
?? why didn't you ask the same about the previous line?
the parentheses are parentheses, they do not carry any special meaning here...
vale wigeon
i don't know what timezone you are in, so if you actually meant that you'll return at 20:00 in your timezone, i don't know when that is.
vale wigeon
.close
icy dagger
Hello
icy dagger
This is False right?
because -4 isn't a natural number and 3 isn't an even integer.
lone heartBOT
@icy dagger Has your question been resolved?
stray knot
lone heartBOT
stray knot
How exactly do I solve this?
median oar
,rotate
ocean sealBOT
median oar
what do you know about trigonometry?
stray knot
Pythagorean theorem and the basic trig ratios
This question is in the Pythagorean theorem chapter so I dont think trig ratios are needed
modern meadow
All you need for this is pythagoran
stray knot
yep but how do I apply it in this case
median oar
oh that's true
median oar
yep but how do I apply it in this case
do you see a right angle triangle anywhere
modern meadow
You divide h by 2 and put it in the formular
stray knot
You divide h by 2 and put it in the formular
Ohh i am supposed to divide H by 2?
Didnt think that would work at all
median oar
why are you dividing H by 2
stray knot
If you half the triangle in the middle isnt it a right angled one
median oar
yes, ∆THU is a right angle triangle
with that you should be able to solve for the unknown side in a right angled triangle with pythag
modern meadow
The height pf the triangle is equal to
sqr(height)==sqr(9.6)-sqr(15.4/2)
final tundra
solve for x
lone heartBOT
solve for x
alpine sable
hmm that'd result in complex roots
final tundra
disclaimer: i'm dumb and the education system here is pretty late
plain flame
do you know what a complex number is
final tundra
i have a very vague idea
^not from what school taught me
plain flame
and school didnt teach you about complex numbers?
final tundra
only up to real ones
plain flame
what the hell
well this equation has complex roots only
so
probably watch this video
median dirge
And then?
final tundra
well
median dirge
Youre supposed to find x?
final tundra
it doesn't equal 0, the question is: if g(x) = 0, then what's x
with g(x) = 2x² - 16x + 64
median dirge
If g(x) = 0, the roots (or the values of x) will be complex numbers
If you have an idea of complex numbers, that could help
But if you don't, and they just want you to keep the answer halfway, then you can solve it using the quadratic formula, and see for yourself
final tundra
funny: i never learned the quadractic formula
i'm literally not gonna answer the question, and i'll provide the reason why, because we haven't learned this
i'll look for good courses online so i can actually learn stuff in english instead of arabic
anyways thnx
.close
jaunty rapids
lone heartBOT
jaunty rapids
How do i do part a
median dirge
Do you know how to write probability distributions?
median dirge
So, can you calculate probabilities of red appearing "X" times when you spin the spinner five times
Well uh?
jaunty rapids
i understand everything except for the yellow:
median dirge
Whyd you send
jaunty rapids
median dirge
the answer
jaunty rapids
i got everything except for the part in yellow
i dont uunderstand that part
help
vale wigeon
are you familiar with the concept of a binomial distribution
vale wigeon
:|
jaunty rapids
so i probably can answer it without binomial distribution as they prob wouuldnt have put it as a question in the topic before
vale wigeon
well, ok, to say it without the fancy name...
X = 2 means the spinner landed on red exactly twice out of 5 spins
jaunty rapids
yes
vale wigeon
there are 5C2 = 10 ways for it to do that
if we look at all possible orders in which red and non-red could have occurred
vale wigeon
and each one has probability 0.4^2 * 0.6^3, so summing them all up you get the same times 10
jaunty rapids
i know binomial expansion so i understand it
thanks
got it
i spent 2 hours tryna understand this
shi
lone heartBOT
@jaunty rapids Has your question been resolved?
jaunty rapids
you doing edexcel maths?
yes
dense oasis
lone heartBOT
dense oasis
could anyone help with number 4?
split oriole
Sure
dense oasis
numerator is one more than denominator each time?
main kraken
what's 3/2 * 4/3
vale wigeon
well yes sure but
main kraken
then think about 3/2 * 4/3 * 5/4
vale wigeon
there's something else that can help you greatly simplify its calculation
main kraken
notice how everything cancels each other out
main kraken
but then what
3/2 * 4/3 = 4/2
3/2 * 4/3 * 5/4 = 5/2
3/2 * 4/3 * 5/4 * 6/5 = 6/2
3/2 * 4/3 * 5/4 * 6/5 * 7/6 = 7/2
then what's 3/2 * 4/3 * 5/4 * ... * 101/100
dense oasis
101/2
main kraken
why
dense oasis
idk
main kraken
do you know how to do multiplication with fractions
or at least how terms can cancel each other out
dense oasis
yeah
dense oasis
yep
main kraken
how about the 3
dense oasis
but the 3 and 5?
main kraken
in the 1st and 2nd
dense oasis
yeah
dense oasis
6/5
main kraken
so 5 also gets cancelled out
but how about 6?
then you gotta look at the 5th fraction
and so on
there's a pattern here
the numerator on the left cancels the denominator on the right
in the end you're left with 1/2 * 101/1
which is 101/2
main kraken
yw
dense oasis
how do i close?
main kraken
.close
dense oasis
.close
regal ridge
hello
regal ridge
I need help with a problem
so basically:
In a Company A there are 300 employees and 15% of those employees are women.
In a Company B there are 30% women.
in Company A & B together there are 20% women
How many employees are in Company B?
I calculated the number of women in Company A and it's
300×15/100= 4500/100= 45 women
marsh rapids
Write an equation in B's number of employees and solve for it
marsh rapids
Letting b be B's number of employees, we have
regal ridge
I think there will be 2 unknowns?
marsh rapids
$\frac{45+0.3b}{300+b} = 0.2$
ocean sealBOT
mateo713
regal ridge
I need some explanation
marsh rapids
top = number of women
bottom = number of employees
20% = 0.2
ocean sealBOT
KhalilCool
ocean sealBOT
KhalilCool
regal ridge
$\frac{0.2}{1} = 0.2$
ocean sealBOT
KhalilCool
marsh rapids
#latex-testing exists btw. Just so you know
regal ridge
oops
marsh rapids
You're not bothering anyone in your own channel of course
regal ridge
well thanks for helping imma close the channel
lone heartBOT
regal ridge
.reopen
lone heartBOT
✅
regal ridge
one more question @marsh rapids, how did you get to:
also are there any other methods of solving it?
marsh rapids
top = number of women
bottom = number of employees
20% = 0.2
Just use what you know, rewrite it as a computation
You can also use a more barycentric approach (i.e. center of gravity)
20 = 2/3 * 15 + 1/3 * 30 so A weighs twice as much as B: it got double the employees
So b = a/2 = 150
regal ridge
yeah I thought about that thanks!
lone heartBOT
@regal ridge Has your question been resolved?
stiff forum
V = span{(1,1,-i),(0,i,1+i)}
and I have set of vectors:
{(1,0,-1)} and I have to add vectors to this set to make base of V from it
stiff forum
In V I checked that vectors are linearly Independent
And (1,0,-1) is linearly Independent with (1,1,-i) and linearly independent with (0,i,i+1), but set of all thre these vectors is linearly dependent
mortal trellis
lets call the first two vectors v1 and v2 and call the third vector u. what is span(u, v1) ?
stiff forum
yea that's my problem i don't know how to figure out what space is span(v1,v2)
mortal trellis
well V=span(v1,v2)
lets say U=span(u, v1)
what is the relationship between U and V. is maybe one a subspace of the other?
what is dim U and dim V
stiff forum
hmm u is in the V because its lineraly dependent with vectors that span it so U is subspace of V?
stiff forum
what is dim U and dim V
2
?
Is that mean that optional base of V may just be U?
Yyy not u
{u1,v1}
Or {u1,v2}
Is that right?
silent onyx
The diagonal of the base of a regular four-sided pyramid is 8√2cm, and the surface of one side is 20cm squared. determine the surface and the volume of the pyramid. <@&286206848099549185>
lone heartBOT
@silent onyx Has your question been resolved?
silent onyx
<@&286206848099549185>
exotic belfry
if you know the diagonal of the base (and this is a square) you can calculate a side of a base. the surface of the pyramid is the area of the base and 4 times the area of a side.
sharp wind
silent onyx
so a side of a base is 8?
then 8 times 8 is 64
and 20 times 4 is 80
and surface area is 144?
silent onyx
also shouldnt we divide 320 by 3 to find volume?
and isnt h 6
why did you write 8x8x5
lone heartBOT
@silent onyx Has your question been resolved?
silent onyx
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river swan
Hi all came across this and wasn't sure what to do. I have got it incorrect and not sure what to do. Below are my wrong workings/answers
a.)
T=m1a +1.5=0.42.5+1= 1+1.5 I believe this is correct but I could be wrong (1.5N is the resistance from firction)
b.)
F=ma
Mg-T=Ma
10M-2.5=2.5M
7.5M=2.5
3M=1
M=1/3
But these don't appear to be correct. Any help would be appreicated
river swan
frigid stream
@river swan Your work seems good, but did you write them down with 2 significant figures?
river swan
Oh so my answers are correct?
frigid stream
I would say so
river swan
thank you, thought i was doing something wrong
I'll make sure to give my answer in 2 sig figs tho
frigid stream
Yep!
spare kayak
hello, im doing maths gcse and im unsure on how to find the minimum co-ordinates of a curve with the equation 10x^2 + 9x + 5. id really appreciate it if someone could help :))
last ether
Like the minimum y-value?
wind jolt
min = c - b^2/4a
spare kayak
i think both, the minimum x and y
last ether
Couple ways:
• function analysis/behavior
• derivatives
spare kayak
thats odd we havent learnt either of those yet
last ether
Well the problem is this: you have a polynomial
What's true about the domain of all polynomials
gray isle
this is a quadratic, to find the min here you can consider completing the square and/or properties of the vertex
spare kayak
ok, i think i can complete the square, it just ends up looking a bit strange
last ether
that theyre all real numbers??
Therefore there is no minimum x value
spare kayak
ohhhhhhh
gray isle
i think both, the minimum x and y
should just be asking for coords with min y
spare kayak
it says "find the coordinates" and then gives two spaces so i presume that means both an x and y value but i guess not
would it be more helpful if i sent a photo of it?
lone heartBOT
@spare kayak Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
wind cloak
$$x = \frac{3(t^2 + 1)}{t^2 - 1}$$ $$y = \frac{3t}{t^2 - 1}$$
wind cloak
How do I eliminate the parameter
ocean sealBOT
NEONPerseus
solid cave
Hello Im really sorry for bothering but I need help with my math homework. So, the question is: 12 people came to the confectionery and sat down at several tables.
At each table, everyone shook hands with everyone. All in all
there were 19 handshakes in the confectionery. At how many tables were people sitting?
How many were there at each table?
last ether
**NEONPerseus**
!status
lone heartBOT
**NEONPerseus**
What step are you on?
- I don't know where to begin
- I have begun but got stuck midway
- I got an answer but I'm told it's wrong
- I got an answer and would like my work checked
- I have a question about someone else's worked solution
- None of the above
fallen verge
:D
wind cloak
1
vivid swallow
Hello Im really sorry for bothering but I need help with my math homework. So, t...
Channel alr taken
wind cloak
I mean I sort of have a plan but idk if it's.gonna work
Like dx/dt and dy/dt
And then dy/dx
fallen verge
Oh shut up it's useful I know
i know, im just happy people are using it
wind cloak
Maybe some easily subbable stuff
last ether
**NEONPerseus**
Well I always like to try a couple things. Raise the "y=" statement to the -1 power and replace t^2 - 1
And see where that goes
delicate jacinth
i know, im just happy people are using it
how can i get all the math bot commands?
wind cloak
Well I tried dividing both of them
last ether
how can i get all the math bot commands?
You need to be a helper to see all
fallen verge
how can i get all the math bot commands?
idk
wind cloak
Isn't that in essence the same
last ether
Wdym dividing both of the@
ornate ginkgo
how can i get all the math bot commands?
ocean sealBOT
last ether
So $\frac x y = \frac{t^2 + 1} t = t + \frac{1}{t}$
Hm
There's no easy way to isolate t tho
Actually
ocean sealBOT
$e^{\text{Umbraleviathan}}$
lone heartBOT
@wind cloak Has your question been resolved?
wind cloak
There's no easy way to isolate t tho
Lol yup
keen plinth
,w expand (1/3 (3(t^2 + 1)/(t^2 - 1)))^2 - (2/3 (3t/(t^2 - 1)))^2
ocean sealBOT
alpine sable
can some help me
lone heartBOT
@wind cloak Has your question been resolved?
hot bison
can someone explain, my teacher assigned this question and she hasnt taught us riemann sums yet?
hot bison
im just really not sure how it works
lone heartBOT
@hot bison Has your question been resolved?
hot bison
can you help <@&286206848099549185> ?
wanton kiln
How many solutions does $e^{2n} = -1$ have?
lone heartBOT
How many solutions does $e^{2n} = -1$ have?
ocean sealBOT
CoffeeMan
worn fox
How many do you think
ocean sealBOT
CoffeeMan
wanton kiln
And 2n I think by fundamental thm of algebra, but my brain can only find n currently for some reason
lone heartBOT
@wanton kiln Has your question been resolved?
wanton kiln
Fucking forgot about multiplicities I guess
So n solutions seems right
What am I even talking about...
<@&286206848099549185>
Nevermind
2n roots
Good
.close
austere jetty
can someone explain what is happening here? Where do the roots come from?
alpine sable
use the log power law
ocean sealBOT
Toby
lone heartBOT
lone heartBOT
Available help channel!
graceful forge
is anyone online?
lone heartBOT
is anyone online?
thorny root
lone heartBOT
@graceful forge Has your question been resolved?
alpine sable
Hi everyone, I need a help please. I'm trying to demonstrate why when you do -1 * both sides of inequality you have to change the direction of inequality. I started from this
0<=a and 0<=b -> 0<=ab
And I used (a<=b -> a+c<=b+c) -ab as c and it changes to -ab<=ab-ab and after some steps it goes into -ab<=0. Is this right? because axioms says it with opposite number but I used more than one number.
rocky grove
The key is in starting with 0<=a. You defined a to be at least 0. If you multiplied it by -1, then your definition will have to change since your first definition was a is at least 0. If it's the negative value of a, then it has to be the opposite definition, which is at most 0.
It's like your negating your inequality. (0<=a) * -1 implies 0>= -a
alpine sable
Sorry, but so you are using knowledge that axioms don't have, because using 0<=a multiplied by -1 you will have 0<=-a, but my target is using axioms I wanna arrive to have it automatically. For example 0<=a i add -a to both sides and I have -a<=0 so maybe I demonstrated that negative number is lower than 0. In same way I wanted to know if I can add 2 numbers which are multiplied each other as an opposite number. Sorry if I'm not clear but English isn't my main language
merry depot
two numbers multiplied together is itself a number. So if you know it's true for 'a number' then you know it's true for the ab product you're trying to use.
alpine sable
two numbers multiplied together is itself a number. So if you know it's true for...
My doubt is if it's true for axioms too
Because I used it how you said that 2 numbers multiplied each other it become a number
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
limpid turret
@alpine sable which axioms are you using?
What knowledge is available and what isn't?
lone heartBOT
lone heartBOT
Available help channel!
fair musk
lone heartBOT
fair musk
How do I find the area inside that?
fallen verge
do you have some dimensions?
fair musk
do you have some dimensions?
It is 3d, A plane inclined at an angle of 45∘ which passes through a diameter of the base of a cylinder of radius r
I need to write an expression for the volume 𝑉 of the region within the cylinder and below the plane in terms of 𝑟
fallen verge
45 degrees is what i needed
alpine sable
Please help in channel 4.
fallen verge
do not promote your help channel
fallen verge
the problem can be rephrased like "given a shape with a semicircular base and cross sections that are isosceles right traingles with one leg on the base, find the volume"
fair musk
How did we get to that?
lone heartBOT
@fair musk Has your question been resolved?
alpine sable
Anyone knows how to enter parametric EQN on Ti 84
lone heartBOT
Anyone knows how to enter parametric EQN on Ti 84
alpine sable
Part 1
long axle
May be wrong abt this, but hit the mode button and see if Theres a parametric option
Can u show a picture of the screen when u hit mode
@alpine sable
alpine sable
.reopen
lone heartBOT
✅
alpine sable
Can u show a picture of the screen when u hit mode
Yea I got it
But
It only comes out as only one value of y per x
But in reality
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
dawn root
Proposition: The union of two finit sets is finite.
I was trying to prove it without induction...
Is my proof valid? (Here Jn means the set of first n natural numbers)
tacit arch
Proposition: The union of two finit sets is finite.
I was trying to prove it wit...
!help
lone heartBOT
Proposition: The union of two finit sets is finite.
I was trying to prove it wit...
Please read #❓how-to-get-help
lone heartBOT
@alpine sable Has your question been resolved?
hard patio
Can anyone help with this??
rose sigil
reactangle 
sonic drum
Can anyone help with this??
which part of the solution or question do u need help with 
plain hill
I need help to solve it
lone heartBOT
I need help to solve it
plain hill
i try to start but after i made some mistake and now i try do to it again
modern sedge
You can modify the left side to a single log base 1/3, and then realize what does it mean when log(a)=0
plain hill
i should move for example -log1/3 (x-5) in the other side?
modern sedge
i should move for example -log1/3 (x-5) in the other side?
Actually yes, you could. It may be easier to solve it like this
plain hill
is a property of log that we can us for divide?
modern sedge
i should move for example -log1/3 (x-5) in the other side?
What do you get when you do this?
plain hill
ok, whay you should me to solve it?
I move the 2term is the other side or i should use another method?
modern sedge
I move the 2term is the other side or i should use another method?
You can do this.
Here is how you can get rid of logs. Do you understand it? I use 0.33 instead of 1/3 because I couldn't type it
plain hill
ok, in this way bacame:
1/2 log1/3 (25-x) < log1/3 (x-5)
plain hill
ok, now wait one sec that i try to do the next step
ok, i try to do the next step but i'm not sure:
log1/3 (25-x) < log1/3 (x^2 +25 - 10x)
modern sedge
The next step is removing the log
plain hill
ok so became:
25 - x < x^2 -10x + 25 ?
modern sedge
ok so became:
25 - x < x^2 -10x + 25 ?
Yep.
Now move the terms to one side, and factor it out to find the solutions
plain hill
ok one thing, that remain "<" or we change in ">"??
modern sedge
ok so became:
25 - x < x^2 -10x + 25 ?
This step is still correct. So the < stays unchanged
plain hill
ok
modern sedge
Oh wait no it should change
plain hill
oh, why??
modern sedge
When you remove logs, you have to flip it
The same holds for adding logs. if a<b, then log(a)>log(b)
plain hill
ok
modern sedge
The same holds for adding logs. if a<b, then log(a)>log(b)
But the flipping happens ONLY if the base of log is between 0 and 1
Like in your case
plain hill
became -x^2 + 9x > 0
modern sedge
became -x^2 + 9x > 0
Correct
modern sedge
became -x^2 + 9x > 0
Do you know how to solve quadratic inequalities?
plain hill
yes
modern sedge
great, so solve it and post the solution, there is one more thing you need to do
modern sedge
So 0<x<9
plain hill
yes
plain hill
wait this is the second step
plain hill
I need help to solve it
.
plain hill
sorry, where is the negative number?
modern sedge
log(negative number) is undefined. You find that x=1 could be solution. But what would log 1/3(x-5) be if x was 1?
It would be underfined. So x=1 cannot be a solution, although it's in interval 0<x<9
plain hill
can't be, should be a number > 0
modern sedge
So from this picture you can conclude 2 more inequalities for x
25-x>=0, and x-5>=0. Because they must be non-negative. >= means greater or equal
Do you understand it @plain hill
plain hill
25-x>=0, and x-5>=0. Because they must be non-negative. >= means greater or equa...
ok this yes
for get the solution what can i do?
modern sedge
25-x>=0, and x-5>=0. Because they must be non-negative. >= means greater or equa...
Great. You already found solution 0<x<9. Now you need to find solution, where also these 2 conditions will be True
25-x>=0 can be written as 25>=x, or x<=25 and the second condition would be x>=5
plain hill
yes
modern sedge
So in conclusion, your solution is interval, where 0<x<9. and 25>=x and x>=5
modern sedge
All numbers between 0 and 9 are less then 25. So we are left with 2 inequations. x>=5 and 0<x<9. When are both the inequalities true?
Simply when 5<=x<9. Do you get it? This is the final solution
It's the same as when I combined This to 0<x<9
I gtg, sorry.
distant citrus
Hi i have a problem with my ti-84 plus ce-t my answers arent accurate if i want to calculate to surface of the binominal
distant citrus
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lone heartBOT
lone heartBOT
Available help channel!
bleak plover
i have a player pos and a mouse pos in 2D. when the player clicks, i want him to shoot a projectile in the direction of the cursor at a set speed s. how do i calculate what should be the velocity on x and y axis by knowing the relative mouse position to the player?
bleak plover
x and y velocty should add up to the speed (or up to 1 if speed not included)
also keep in mind that the mouse pos can be negative on one (or both) axis, whch should reflect in the velocity vector too
sterile idol
Probably get a unit vector pointing towards the mouse pos and scale it by the velocity with the set speed s
$\begin{bmatrix}
\frac{xs}{\sqrt{x^2+y^2}}\
\frac{ys}{\sqrt{x^2+y^2}}
\end{bmatrix}$
ocean sealBOT
King Dedede
sterile idol
so the velocity along the x direction becomes $\frac{xs}{\sqrt{x^2+y^2}}$ and along the y axis becomes $\frac{ys}{\sqrt{x^2+y^2}}$
ocean sealBOT
King Dedede
sterile idol
@bleak plover
sterile idol
**King Dedede**
this is your initial velocity, now you can do your acceleration stuff on y keeping the velocity along x the same
Hey
bleak plover
<@748087793648926764>
ty
sterile idol
You shouldn't be on discord then
lone heartBOT
worn horizon
can u help in a math prob
krish
can u help ?
bro
can someone help me in ellipse
if tangent are drawn to all point of the ellipse [x^2+(y^2)2 = 2] other then its 4 vertices find the locus of the mid point of these tangents upon intersecting the coord axis
sterile idol
bro
can someone help me in ellipse
if tangent are drawn to all point of the elli...
x^2 + y^2/2 = 2?
worn horizon
nope
sterile idol
Okay so $x^2 + 2y^2 = 2$
ocean sealBOT
King Dedede
worn horizon
correct
hazy totem
Technically you shouldn't be allowed to use discord then, you know that right?
worn horizon
u gotta bring it standard from which i did
bleak plover
sterile idol
u gotta bring it standard from which i did
It lies on the y axis
It's the y axis, actually
Actually, nevermind
lone heartBOT
@alpine sable Has your question been resolved?
pearl saddle
Hey, so I've been trying to learn how to factorize larger algebraic expressions and I'm not sure about this one
2x^2 - 6xy - 5xz + 15yz
I have managed to transform it into
x(2x - 6y - 5z) + 15yz
But I'm not sure where to go from there, i want to turn the entire expression into a product and not a sum
pearl saddle
?
vivid swallow
You can factor out z from the right part and x from the left and you'll get a product equation
lone heartBOT
@pearl saddle Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
neat cloak
Can i get help please
lone heartBOT
Can i get help please
vale wigeon
neat cloak
When a VAT 21% is included, the price of a Laptop increases by €130.20.
Find the total cost of the Laptop including VAT.
weary wyvern
130.20 is 21% of the original price
the questions asks for the original price plus this 21%
neat cloak
What do i do
To get rhe original price
modern sedge
What do i do
To get rhe original price
If 130.20 is 21%, what is 100%?
Alternative approach: let P be the price without VAT. You know that P+0.21P=P+130.20 (price+VAT=price+130.20)
Can you solve this? P+0.21P=P+130.20
neat cloak
I cant 🤣
modern sedge
Can you at least simplify it? Look at it :) P + 0.21P = P + 130.20
neat cloak
Is the 0.21 the 21%?
modern sedge
Yep
25% of some value is same as value*0.25, 50% of some value is same as value*0.5
neat cloak
Oh god im going foundation in 3 weeks time 😭
neat cloak
25% of some value is same as value*0.25, 50% of some value is same as value\*0.5
I understand that
modern sedge
And can you solve this? If 130.20 is 21%, what is 100%?
(You don't need to find actual value, just post calculation you would do to find it)
neat cloak
Let me grab my calculator real quick
So i have to find 100% of 130.20
Do i Multiply or divide?
modern sedge
So i have to find 100% of 130.20
You have to find 100% if 130.20 is 21%
neat cloak
So i have to multiple
modern sedge
Try to rewrite it as equation. Let X be 100%. And you know, that 21% of X=130.2. Therefore 0.21X=130.2
neat cloak
100% with 130.20?
modern sedge
Can you solve this? 0.21X=130.2
How did you learn to work with percents in school?
Is there some tactics you used?
neat cloak
@modern sedge
My Maths teachers are horrible at teaching
Im a Leaving certificate student rn
modern sedge
Okay nvm, Can you solve this? 0.21X=130.2
neat cloak
We do things in Maths rn were they say we did it in first year which isnt true
modern sedge
What's your mother language?
neat cloak
Hungarian
English is my 2nd language
I want to understand the Language of Maths, is there help here?
modern sedge
Hungarian
https://www.youtube.com/watch?v=ZtWXewNOLRI Try this. It will help you with percents
fringe scroll
we have 21% of a price, that is 130.2
Do you know how would we calculate 1%?
modern sedge
neat cloak
Thank you
modern sedge
https://www.khanacademy.org/math/pre-algebra/xb4832e56:percentages This is even better. On this site, there are always explanatory videos, and even practise problems
lone heartBOT
@neat cloak Has your question been resolved?
lone heartBOT
@neat cloak Has your question been resolved?
tidal sun
lone heartBOT
near hollow
what have u tried?
lean lily
bro use a^n - b^n = (a-b)(sum a^k b^(n*k))
a^n will be your cos
b^n will be 1
so a will be your nth root
and b 1
so everytime (cosx-1)/(sum of k cosines) = nthroot(cos)-1
use the fact that lim cos(x)-1 / x^2 = 1/2
and that's basically it :))
the 1/2^n-1 will come from a multiplication of n-1 limits that converges to 1/2
tidal sun
so everytime (cosx-1)/(sum of k cosines) = nthroot(cos)-1
my teacher didnt show me this rule
lean lily
did he show y'all a^n - b^n ?
lean lily
Now you know
tidal sun
is there a method using nth root rules
lean lily
it's basically the one i told you
lone heartBOT
@tidal sun Has your question been resolved?
tidal sun
<@&286206848099549185>
lone heartBOT
@tidal sun Has your question been resolved?
alpine sable
Help needed
I want examples of weight function in orthogonal differential equations
<@&286206848099549185>
-_-
Help me out plzz
<@&286206848099549185>
Please
alpine sable
I've representation with tis
I need examples of weight function of orthogonal polynomial in differential function
alpine sable
what u need help wit
..
low magnet
I need examples of weight function of orthogonal polynomial in differential func...
one sec
ω(x)=xex−1 on [0,+∞) well I think this could owkr
low magnet
well i mean for today how much time u have?
alpine sable
how much time u got?
I've to prepare in these 2hours
low magnet
All known orthogonal polynomials, are solutions of differential equations that arise in various physical phenomena. Legendre developed his poylnomials as coefficients of expansion of a Newtonian potential. Hermite poynomials are eigenstates of the quantum harmonic oscillator. Only a chosen few will satisfy equations that have actual physical meaning, or would have "nice" explicit representations.
alpine sable
Help me out
low magnet
im guessing yk about this right?
alpine sable
Few of
low magnet
so the relatioship with the weights, should be able to have a explict representations
@alpine sable
alpine sable
Emm can I get more information
I've to make it 25 mins information
<@&286206848099549185>
In odes method
I'm done thnks @low magnet
Closed.
pearl saddle
how would i calculate this
lone heartBOT
how would i calculate this
gray isle
consider rationalising denominators
for all the fractions
and you'll notice something very nice
pearl saddle
how can i solve this using short multiplication formulas
lone heartBOT
how can i solve this using short multiplication formulas
pearl saddle
meaning things like
(a + b)^2 = a^2 + 2ab + b^2
or
a^2 - b^2 = (a + b)(a - b)
okay nevermind
i figured it out
lol
.close
alpine sable
how do i calculate this?
lone heartBOT
how do i calculate this?
alpine sable
translation: two graphs have these intersect, what is the area?
im stuck from step 1 basically
.close
golden ridge
guys why is 2| sin( (x-y) / 2 )| <= 2 | (x-y) / 2|
lone heartBOT
guys why is 2| sin( (x-y) / 2 )| <= 2 | (x-y) / 2|
clever locust
$\abs{\sin\alpha}\leq\abs{\alpha}$ for all $\alpha\in\bR$
ocean sealBOT
Lorago
golden ridge
$\abs{\sin\alpha}\leq\abs{\alpha}$ for all $\alpha\in\bR$
aight, thanks a lot
.close
alpine sable
lone heartBOT
lone heartBOT
Please stick to your channel.
alpine sable
which is change in y = initial velocity times time plus 1/2 times acceleration times time squared
change in y from the top of the throw, when velocity equal 0, is -379.48 given 92.5 and my previous answer
so i completed this and got 8.8 seconds from the top to the bottom of the cliff.
then i did 286.98/75 for the initial throw to the top height and got 3.8264
added that to the 8.8 and i got my answer which is apparently wrong. what did i miss?
keen mason
hm
keen mason
then i did 286.98/75 for the initial throw to the top height and got 3.8264
this iswrong
modern sedge
What constant for gravitational accel are you using?
alpine sable
What constant for gravitational accel are you using?
-9.8
alpine sable
this iswrong
how?
modern sedge
My result is 4 units away from yours, so it's probably not rounding error
keen mason
The time taken from the second it got released from the cliff, to the highest point is 7.653
than add on the time taken to travel 286.98
your answer is exactly half mine
alpine sable
did you do -4.9t^2 + 75t - 286.98 = 0 ?
to get the time from release to highest point?
ocean sealBOT
Stephen
modern sedge
Or you can just set a formula like this and you will directly get the x. I included the initial velocity, and also the fact that on the start it was 92.5 units above ground
keen mason
did you do -4.9t^2 + 75t - 286.98 = 0 ?
s = ut + 0.5at^2
ut = 0
0.5at^2 = s
sqrt(2s /a) = t
unkempt zinc
e) Through the intersection of lines
2x 5y 6 0
and
x 3y 3 0
place the rectangle on the line
4x y 5 0
. Write it down
the equation of a rectangle.
alpine sable
unkempt zinc
delete i was first
alpine sable
or what
alpine sable
Bye
unkempt zinc
.close
lone heartBOT
alpine sable
.open
wild trail
.reopen
lone heartBOT
✅
pliant estuary
How should I solve this limit?
$$
\lim_{x\to\infty}(1+2x)^{\frac{1}{x}+3}
$$
ocean sealBOT
marejak023
pale kestrel
!status
lone heartBOT
What step are you on?
- I don't know where to begin
- I have begun but got stuck midway
- I got an answer but I'm told it's wrong
- I got an answer and would like my work checked
- I have a question about someone else's worked solution
- None of the above
pliant estuary
I know how to calculate it for x approaching 1, but dont know how to do it as we are going to infinity
last ether
Change the exponential statement so it has a base of e
pliant estuary
Change the exponential statement so it has a base of e
not sure iirc, but $$
e^{(1+2x)ln(\frac{1}{x}+3)}
$$
ocean sealBOT
marejak023
pale kestrel
to change exponent, use the identity
e^ln a = a
last ether
a^b = e^(bln(a))
modern sedge
a^b = e^(bln(a))
This statement may be more obvious for you, when I rewrite the expression like this
pliant estuary
To be onest, I dont know how to continue from this step
quasi vector
**marejak023**
is this not tending to infinity
pliant estuary
is this not tending to infinity
it is
lone heartBOT
@pliant estuary Has your question been resolved?
hollow skiff
@pliant estuary when u replace "x with infinity" what you got?
lone heartBOT
@pliant estuary Has your question been resolved?
pliant estuary
<@477592722715443215> when u replace "x with infinity" what you got?
e^infty*ln(3)
hollow skiff
so e^infty that means?
pliant estuary
so e^infty that means?
infinity
hollow skiff
that should be the solution
lone heartBOT
lone heartBOT
Available help channel!
lone heartBOT
wispy wing
Does ln cancel eachover out?
vapid steppe
what does the instruction say
wispy wing
Solve
vapid steppe
Was my way of seeing if they equaled the same
ye it should
quasi vector
,rcw
ocean sealBOT
quasi vector
,rcw
ocean sealBOT
wispy wing
Cool thanks
alpine sable
lone heartBOT
lone heartBOT
@alpine sable Has your question been resolved?
mental flame
btw when your adding stuff like 3y+y, there is an invisible coefficient oh y. so really 3y+y is just 3y+1y
mental flame
ok, i was just making sure 🙂
mental flame
yep
mental flame
you have this right?
alpine sable
Yes
mental flame
yep, but the middle term is wrong in your answer
mental flame
it should be 2y-3y right?
alpine sable
Mhm
mental flame
which is just -1y
alpine sable
There both negatives
mental flame
no? did you distribute the negative to both polynomials?
alpine sable
Yes
mental flame
ah ok
alpine sable
There were both positive
mental flame
your only supposed to distribute the negative to the one you are subtracting by
alpine sable
which is 2?
mental flame
distributing the negitive to both polynomials is like saying 3-2=-3+2
lone heartBOT
alpine sable
.reopen
lone heartBOT
✅
mental flame
yep that should be the answer : D
mental flame
should be, just remember when subtracting polynomials, distribute the negative to the one you are subtracting by. good luck 🙂
mental flame
any time
lone heartBOT
alpine sable
ill be back with more stuff maybe
mental flame
ok, see ya
lone heartBOT
Available help channel!
fair musk
lone heartBOT
ruby current
you can always reduce the base
earnest mortar
Use $$7\equiv 1\ [6]$$
ocean sealBOT
Silfer
fair musk
what does the [6] mean?
earnest mortar
mod 6
indigo saddle
Mod 6
fair musk
oh
worn fox
yeah thats terrible notation
ruby current
yeah thats terrible notation
not uncommon though