nope
#help-0
solemn grove
nope
that’s like asking what’s the price of a cup of tea if it costs twice as much as a barm
lilac orchid
that’s like asking what’s the price of a cup of tea if it costs twice as much as...
can we take something common
aur ssume their values
lilac orchid
that 5o = 2a
over
thanks for helping
pray that teacher will give more infor for solving this ques
lone heartBOT
@lilac orchid Has your question been resolved?
alpine sable
How did we get x = 0 and x - 4 = 0
lone heartBOT
How did we get x = 0 and x - 4 = 0
alpine sable
Okay, i will try.
thin gyro
How did we get x = 0 and x - 4 = 0
divide both sides of** x(x-4)=0** by x
which is x-4=0/x
which is equal to x-4=0
knotty spire
divide both sides of** x(x-4)=0** by x
which is x-4=0/x
which is equal to x-4=0
you immediately lose an answer
since you assume $x \neq 0$
ocean sealBOT
Remavas
knotty spire
Bottom line: DON'T divide by x
rugged sage
I’m learning zero product property in school right now lol
lone heartBOT
@alpine sable Has your question been resolved?
native nebula
lone heartBOT
native nebula
Could you please tell me why we have taken 1 and 2 here and not any other number?
I mean why we did what we did?
I can't understand this solution
drifting hull
the idea is to get rid of the absolute values in the equation and as |y|=y for y>0 and |y|=-y for y<0, we consider for each |...|, whether the interior is positive or negative to simplify it
native nebula
the idea is to get rid of the absolute values in the equation and as |y|=y for y...
How are we getting rid of the absolute values?
drifting hull
if x-1<0, then |x-1|=-(x-1)=1-x so we can replace |x-1| with 1-x and get rid of the first one
quiet bramble
Hello,
I recently came across Fibonacci Sequence and found it very interesting. However I am unable to find its applications in real life. I would like to know where it is used.
Thank you!
sweet finch
In music: In a scale dominant note is the 5th note of major scale which is also the 8th note of all 13 notes that comprise octave. This is an instance of fibonacci numbers in key musical relationship
also, the spirals of shells, seeds on a sunflower ,and even the curves of waves
silver adder
pretttyy
lone heartBOT
@quiet bramble Has your question been resolved?
unique ingot
what is the rule for this?
lone heartBOT
what is the rule for this?
loud grove
just multiply by sqrt7
placid zinc
x²/x = x
loud grove
on both sides
pale kestrel
factorize 7
unique ingot
oh ok thanks
pale kestrel
as a product of sqrt
placid zinc
Or x/x² = 1/x
unique ingot
.close
lone heartBOT
late parcel
Is that considered 5 or 6 relative extremes
On the interval -4 to 2
That last one on the very right is confusing me
Do you count that if it’s on the boundary or not?
late parcel
Is that considered 5 or 6 relative extremes
On the interval -4 to 2
That last one on the very right is confusing me
Do you count that if it’s on the boundary or not?
<@&286206848099549185>
.close
lone heartBOT
Available help channel!
vale spruce
Not sure how to solve this could I get some help?
lone heartBOT
Not sure how to solve this could I get some help?
primal berry
Partial fractions, a nice thing.
Do you know where to start with this?
vale spruce
Not to sure to be honest
torn forge
how would you combine the two fractions?
primal berry
Don't combine the fractions
First step would be multiply the first fraction by B's denominator and then multiply the second by A's denominator
torn forge
yes...
primal berry
Technically I'm getting the fractions ready to be combined but...it's not needed
torn forge
show us your progress if you can
primal berry
Even if it's just text
vale spruce
13x + 18/5x + 14 and 13x + 18/x-3
primal berry
You should still have As and Bs in there
A(x-3) + B(5x+4) = 13x+18
Ignoring the denominator
torn forge
btw
torn forge
A(x-3) + B(5x+4) = 13x+18
Ignoring the denominator
in this point
you could choose A to be like 1 or 2 or 3... etc
and just try to solve for B
torn forge
Not sure how to solve this could I get some help?
Since you just need to find some value A and B so it fulfills the equation
vale spruce
ok
vale spruce
13x + 18/5x + 14 and 13x + 18/x-3
Whats the next step I take from here?
torn forge
so
vale spruce
ok
vale spruce
it can be any value?
torn forge
any.
vale spruce
ok
torn forge
but youll need to solve for B later.
vale spruce
2
torn forge
so B should be 2?
vale spruce
ok
torn forge
then how many times does x fit into 3x?
vale spruce
3
vale spruce
so then should i input those numbers to find A?
torn forge
nvm
you just need to choose a number for A or B
like if i choose A = 3
then 3(x-3) + B(5x+4) = 13 + 18
i would solve for B then.
vale spruce
10x +27/5x + 4
torn forge
its basically guessing game rn
vale spruce
i have the answer if that would help i just dont understand how my teacher got there
torn forge
so
B should be 3
so that 3(5x + 4) = 15x + 12
then just
13x + 18 - 15x -12 = A(x-3)
vale spruce
ok but how did you knwo b was 3
torn forge
i just guessed
vale spruce
😂
torn forge
cause a equation is solvable only if theres only 1 variable
vale spruce
how
primal berry
I remember how you're meant to do this
vale spruce
please
primal berry
For A(x-3) + B(5x+4)
Set one of the x values to make the bracket = 0
So for A(x-3)
x must be 3 for that to become 0
Then you can solve for B
torn forge
oh damn
primal berry
And then you can find A after finding B
torn forge
right...
primal berry
Sorry for diappearing too
torn forge
so A(3-3) = A(0)
primal berry
So then you only have to worry about B(5x+4) = 13x +18
Means you only have 1 unknown
torn forge
and some number multiplied by 0 is just 0
vale spruce
oh
primal berry
Better to have 1 unknown than 2
torn forge
never thought of this 😭
vale spruce
ok thank you
primal berry
All good now?
vale spruce
😂
primal berry
Got there in the end!
vale spruce
Yeah about that I just tried this strategy with another question it didn’t work can you help me one last time to figure out where I went wrong
primal berry
For that type of question I believe you need to set x = 0 as one and then x = say... 1 and then solve it simultaniously
solar cliff
Yeah about that I just tried this strategy with another question it didn’t work ...
or you could do $6x+7 = A(x+2) + B$ and match the coefficients
ocean sealBOT
elemen
vale spruce
let me try that out one second
primal berry
Yeah, multiplying by (x+2)^2 makes it a lot easier
torn forge
another one of these...
primal berry
If you do it the way that Elemen said. You will get
A(x+2) + B = 6x+7
Set x=-2 to get rid of the A bracket and solve for B
I was thinking for cubic partial fractions
torn forge
I was thinking for cubic partial fractions
💀
vale spruce
ok thats what i did orignally but why do we forget the (x+2)^2
torn forge
??
vale spruce
the
orignal b denominator
vale spruce
oh ok
torn forge
only the numerator stays
vale spruce
am i wrong or would a also equal -5
vale spruce
wait what did you sub in to get a
vale spruce
i thought it was -2
primal berry
x was originally -2 in order for you to solve for B
vale spruce
ok but how did you know to sub in 0 to find A
primal berry
It's not really about knowing as such, it's just down to keeping A there. We know B already from subbing x = -2 into the equation
vale spruce
oh i seee
primal berry
Does that all make sense?
vale spruce
yeah thank you so much
primal berry
No problem!
quiet bramble
In music: In a scale dominant note is the 5th note of major scale which is also ...
i see
thank you, PJ 😄
alpine wyvern
Shade the region of points that satisfy the inequalities x + y ≤ 7 and
x − y > −3.
alpine wyvern
I know how to solve for y in these and graph for one of them but I don't really understand the question
<@&286206848099549185>
tacit arch
tacit arch
I know how to solve for y in these and graph for one of them but I don't really ...
once you read ^, shade the region separately for each of your inequalities.
further examples if you're still confused
https://www.onlinemathlearning.com/graphing-inequalities.html
solemn grove
I know how to solve for y in these and graph for one of them but I don't really ...
boy, draw the those lines on a cartesian plane
none of them go through 0,0
0,0 lies inside the region or outside the region they’re asking for
do that for both and you’ll be able to find which side of the line they’re asking for
@alpine wyvern
lone heartBOT
@alpine wyvern Has your question been resolved?
solemn grove
does it make sense
alpine wyvern
im reading and solving it right now
lone heartBOT
@alpine wyvern Has your question been resolved?
lone heartBOT
@alpine wyvern Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
paper flame
is this correct?
80cm sqred = 8*10^-3 m sqred
lone heartBOT
is this correct?
80cm sqred = 8*10^-3 m sqred
@paper flame Has your question been resolved?
tacit arch
Use m^2 = (100cm)^2
pale arch
how do i convert the general form quadratic equation x^2+4x+3 to standard form? i tried and got (x+2)^2+3 but my math program for homework says thats wrong
raven rover
You need to complete the square with the 2 term x^2 + 4x
One way to check your answer is to expand your answer and make sure you get the same thing as what you started with
pale arch
okay! umm, how exactly do i do that?
raven rover
You can probably look up complete the square, but it involves adding some number (and subtracting the same number to keep the expression unchanged) so you get a perfect square trinomial
pale arch
i see! i attempted that by doing 4^2 over 2, and got 4 as the result, so i added and subtracted that along with adding the 3
raven rover
It's (4/2)^2 = 2^2 = 4, but yes
So:
x^2 + 4x + 3 = x^2 + 4x + 4 - 4 + 3
Can you see a perfect square trinomial?
@pale arch
pale arch
ah sorry! umm, is the perfect square trinomial x^2 + 4x??
buoyant kayak
that's not a perfect square or a trinomial
possibly google what a perfect square trinomial is
pale arch
shoot
yeah i should do that LOL
is....4 the perfect square? and is x^2 + 4x + 4 the trinomial?
buoyant kayak
well 4 is a perfect square and x^2+4x+4 is a trinomial lol
that trinomial is the perfect square trinomial
how can you rewrite it?
lone heartBOT
@pale arch Has your question been resolved?
lone heartBOT
@pale arch Has your question been resolved?
crude rose
George loves his friends but recently his relationship has gotten shaky. In a certain conversation, his interest for his friends decreases at a rate I(t) = 1/x-x^2 measuring in interests per second where t >= 0. If George initially started with 100 interests how many will remain when t = 4 seconds? Will George be able to attend the fair?
brazen patrol
did you attempt the prblem
crude rose
idk how to itnegrate it
brazen patrol
"idk how to integrate it" "take the integral"
"idk how to integrate" isn't a sufficient answer if you're in a calculus class that has already covered differentiation etc
an attempt is always better than saying "idk"
buoyant kayak
i do not care
brazen patrol
because we can see what you don't know
abstract fractal
i do not care
Based
brazen patrol
then why'd you respond lol
buoyant kayak
cause i was giving the person who asked the question a link that will help them
brazen patrol
you added nothing besides a helpful video
brazen patrol
I'm fine with you providing the video. It doesn't change the fact that saying "idk" doesn't help anyone. Since you don't care, we'll leave it at that
abstract fractal
What are they supposed to do? Manifest the knowledge? If they don't know, they don't know my guy. Assuming they actually don't know, of course
brazen patrol
i was just saying that you don't get a question like that when you're first introduced to integration though
you normally play around with rules(atleast I assumed )
and basic functions like x^2 etc
abstract fractal
There's a lot of integration rules. It's easy to forget, if you're not great at it, like many students are
brazen patrol
this isn't a test though
it's like sending an email or whatever with the "No hello" thing
abstract fractal
Still, we should give the benefit of the doubt. If the other person says they don't know how to integrate the function, we should take their word for it. We could then either help them remember, or send them a video, or something.
lone heartBOT
@crude rose Has your question been resolved?
junior condor
lone heartBOT
junior condor
how would I do this exactly? Any steps I should follow? The lecture notes seem vague (no examples) compared to this problem on the hw
It looks like I should verify the definition of jacobian (injectivity + rank 2) but idk how i would do it here
I tried googling stuff but everything is either too basic (coordinate plane) or too hard (idk what a manifold is)
@crisp iron i need advice on this problem
How do I find this surface S that is mentioned in the problem?
@crisp iron please help
@mental coyote
<@&286206848099549185>
<@&286206848099549185>
@mental coyote
<@&286206848099549185>
@subtle mantle @fringe yoke thanks mods for helping me
solar cliff
<@!233993116418441216> <@!247157233228447746> thanks mods for helping me
what is the defn of a coordinate chart
im not really a helper but i can try lol
junior condor
Each point of the surface S has to be 'covered' by a point in Phi, the coordinate chart
glass lichen
<@&286206848099549185>
dont spam
subtle mantle
<@!233993116418441216> <@!247157233228447746> thanks mods for helping me
map it to an altas 
jovial breach
Ain't this differential geometry?
junior condor
I have not had it formally defined. I just need to show that all points of a surface S has a corresponding point in the coordinate chart Phi
fringe yoke
And what is surface S?
junior condor
Well I think that's the problem
finding a surface S that has Phi as its coordinate chart
junior condor
map it to an altas <:sotrue:826971355542192148>
I will do it as soon as I know what an atlas is 🗺️
.close
calm kiln
Hi
magic sleet
you want me to check it right
lone heartBOT
@calm kiln Has your question been resolved?
calm kiln
<@266397602172370945> answer 1-3 is correct but for the first box in 1) is wrong
Which one
2.035 is wrong?
lone heartBOT
@calm kiln Has your question been resolved?
calm kiln
Ok
calm kiln
then ur correct
Does everything else look good?
magic sleet
yeah
pale terrace
if you're differentiating a function with respect to y does it become dx/dy?
pale terrace
in other words, is that the way to find y'?
glass lichen
y' is dy/dx
pale terrace
thank you
rough yoke
lone heartBOT
rough yoke
how would I approach a taylor series like this
thus far I have written out all the derivatives for the function
but I'm not sure how I would proceed because cos(pi/4) is like rougly 0.70
so it alternates every 2 signs
so how would I represent that in series form
placid zinc
You don't want to put 0.707, you'll want to put √2 / 2
rough yoke
ooh i see
let me try to represent it but im not too sure about how to make it alternate signs every 2 terms
instead of one
placid zinc
Actually it looks like you've got it
You just want the sign to alternate after every two, huh?
rough yoke
yeah
so heres where im at
I figure this should take care of the rest
but i don't know what to raise -1 to the power of
lone heartBOT
@rough yoke Has your question been resolved?
lone heartBOT
@rough yoke Has your question been resolved?
lone heartBOT
@rough yoke Has your question been resolved?
lone heartBOT
@rough yoke Has your question been resolved?
scenic vault
hello need help here
lone heartBOT
hello need help here
echo socket
That's a separable differential equation
scenic vault
That's a separable differential equation
can u guide me
echo socket
Consider dividing both sides by y-5
lone heartBOT
@scenic vault Has your question been resolved?
lone heartBOT
@scenic vault Has your question been resolved?
lone heartBOT
zealous swift
Hey guys I need help with questions 4 a)
lone heartBOT
zealous swift
This is tutor homework. No exams or assignment for me to cheat on haha. My tutor has provided his answers but I still don’t get the question. I tried to use the general form ( I think that is incorrect) and tried to understand binomial expansions (I still don’t understand). I don’t really get the whole concept.
fringe token
I assume you know how to expand (a+b)^9 which will have the general form (9C0)a^9 +(9C1)a^8(b)…
zealous swift
Sorry could you write that down on paper so I cna see the formatting?
Thank you though
For your swift response:)
I appreciate it
lone heartBOT
Available help channel!
inner hinge
Is it possible to find an unknown coordinate of a trapezium vertex?
tardy spire
can someone explain to me how to solve it <@&286206848099549185>
alpine sable
please wait 15 min after posting question before pinging helpers
but i can help @tardy spire
tardy spire
please wait 15 min after posting question before pinging helpers
Oh sorry
tardy spire
but i can help <@!722603966420090890>
i gott x=60 , y idont know
alpine sable
fringe token
Which circle theorems do you think would be useful to use
tardy spire
hmm
gray isle
how are you getting 60 for x
gray isle
is that a guess?
fringe token
I mean x does equal 60 but if you already worked that out then the rest shouldn’t be too hard
gray isle
I mean it is,but it depends if you're able to justify that properly
tardy spire
I mean x does equal 60 but if you already worked that out then the rest shouldn’...
wait really
gray isle
and technically you don't need to find x or y to determine x+y
fringe token
fringe token
Yes
gray isle
you get a lot more info than that
tardy spire
hmm
tardy spire
you get a lot more info than that
🥲 i dont see it omg im too bad
gray isle
do you know what an equilateral triangle is?
tardy spire
do you know what an equilateral triangle is?
it takes me so long to find the answer
tardy spire
<@&286206848099549185>
icy crane
what have you tried
tardy spire
what have you tried
in a 40 liters there are 8 L of bleach and 32 L of water
tardy spire
30% more?
icy crane
nah. doesn't work like that
you know, if the solution is 50%, there's equal parts of water and bleach right?
icy crane
wait wait. we are at the step where we add bleach to make the solution from 20%-80% to 50%-50%
and you said that the 20/80 solution has 8 Ls of bleach, and 32 Ls of water
so, how much bleach do we have to add to make the quantity equal to the 32Ls of water already present in the solution?
tardy spire
24Ls?
icy crane
correct
so you add all that bleach. and now you have a mix of 32 L bleach and 32 L water
tardy spire
okay...
icy crane
now you have to add more water. let's call the quantity you have to add X
so, in the end. the mixture will have 32 Ls of bleach. and 32 + X L's of water
and the ratio of bleach to the total quantity will be 20%, or 0.2
try to turn that into an equation
icy crane
hm no that's not correct
tardy spire
ehhh
icy crane
o no wait
you're right
i didn't understand the equation you wrote. but the answer is correct.
tardy spire
i didn't understand the equation you wrote. but the answer is correct.
ahaha mb
thank you so muchh
u r totally a genius
😉 .
icy crane
the simplest way to write the equation is 32/(32+32+x) = 0.2
tardy spire
the simplest way to write the equation is 32/(32+32+x) = 0.2
wait how u do that equation
tardy spire
quantity of bleach / total quantity
total quantity of both bleach and water?
icy crane
yes. this is what is meant when it says "20% bleach solution"
icy crane
np 👍
tardy spire
.close
inner bolt
which table looks correct for this question
lone heartBOT
which table looks correct for this question
inner bolt
im not too sure which one would be correct because of the 50% chance of surviving
lone heartBOT
@inner bolt Has your question been resolved?
inner bolt
in the first one i divided all the offspring of aa by 2 but in the second pic i only divided the aa offsprings by 2
not sure which one is right
inner bolt
<@&286206848099549185>
lone heartBOT
@inner bolt Has your question been resolved?
slim shell
is this from a part of heredity?
violet iron
Can anyone please tell me how I would rewrite the first one
lone heartBOT
Can anyone please tell me how I would rewrite the first one
violet iron
I just need to know what exactly they’re asking for.
fringe token
Probably asking you to convert to index form
silver adder
Rewrite into something easy to differentiate
Differentiate that
Simplify the result
e.g 25. can be rewritten as $\frac{5}{2}x^{-2}$
ocean sealBOT
DETOX
lone heartBOT
lone heartBOT
Available help channel!
warped wave
Does anyone know about the Perrin numbers
lone heartBOT
Does anyone know about the Perrin numbers
warped wave
P(n)=p(n-2)+p(n-3)
oak perch
I don’t know it but I can only know that to calculate it’s expression. we need to consider the polynomial x^3-x-1=0, if it has three distinct roots r_1, r_2 and r_3, then p(n)=Σc_k(r_k)^n. Then we need to know three terms of P(n) to obtain a system of linear equations of c_1,c_2,c_3 to solve them
If it has a three-multiple root r, then p(n)=(c_0+c_1(n)+c_2(n^2))(r^n)
If it has a two-multiple root r and a single root s then it equals (c_0+c_1(n)(r^n)+c_2(s^n)
(The characteristics polynomial has a single root r,then r^n is an element of the basis. If it has a k-multiple root r, then r^n, nr^n, n^2r^n,…,n^(k-1)r^n is part of the basis)
pulsar aspen
I don’t know it but I can only know that to calculate it’s expression. we need t...
I think they're talking about the relation of Perrin numbers and prime numbers
oak perch
( I assume he knows that all sequences P(n) such that p(n)=p(n-2)+p(n-3) forms a linear space, and Jordan form or matrix those kind of things)
?
I thought he wanted to calculate the expression of p(n), he didn’t say anything about prime number
lone heartBOT
@warped wave Has your question been resolved?
alpine sable
1ii)
alpine sable
Can i use simultaneous for this
since C E B points are collinear
so im thinking to use gradient to find the first equation for x and y
and then i use the shoelace method to find the area
then sub in the first equation then do the factorisation
overall the step is overwhelmingly long
stilll i couldn't get the ans
i wonder if my method is correct
or could there be any careless mistake i checked it thrice but still i couldn't get the ans
the ans sheet shows another method (ratio method) which I haven't learnt b4
so this question really got me,,,
Heres my working btw
here's the ans sheet :sigh:
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
balmy warren
Hi I've done the first part of the question. I'm wondering what's the method for going about doing the second part
alpine sable
Lookz like a magnifier
Right comes against left, then redirect it
Let and right creates opposition
Redirect the outcome to make use of it
glass lichen
Hi I've done the first part of the question. I'm wondering what's the method for...
Write the general equation of C_2
crisp night
I would just make function of distance from origin by t, and find its max
balmy warren
yeah so I started with x^2 + y^2 = r^2
alpine sable
Mhm
balmy warren
I'm confused as to what you are saying
balmy warren
which 2
alpine sable
O and C1
balmy warren
return 1 from what exactly?
alpine sable
you got x all around, you have to makr it pick one side instead 1
From the combination you got of 4 sides
balmy warren
I have the cartesian equation for c1
alpine sable
What is it?
balmy warren
This
alpine sable
Write it down
balmy warren
top part
alpine sable
)(
alpine sable
Hmmm
You're still left with 2, although it's really 1, need to make it return something elsr
x, that's what you got right now
Which is 5
Hmmm
balmy warren
sorry, but I'm really confused at to where this 2 is coming from
glass lichen
@alpine sable don't troll.
alpine sable
<@456226577798135808> don't troll.
Sorry
I'm trying to explain using my method, i usually talk like that
glass lichen
You're speaking nonsense tbh
balmy warren
Sorry @alpine sable, are you actually going to help? otherwise I'll wait for someone else
glass lichen
@alpine sable shut up
alpine sable
🙊
alpine sable
It's pretty confusing
glass lichen
@balmy warren have you tried solving for the points of intersection?
crisp night
alpine sable
<@!356358102641278977> have you tried solving for the points of intersection?
Elaborate?
glass lichen
@alpine sable shut it
crisp night
balmy warren
<@!356358102641278977> have you tried solving for the points of intersection?
I think so. I subbed in my workings into the circle formula
so I got r^2 in terms of x
but not sure what to do from there
glass lichen
yeah, you get $r^2-x^2=\frac{9}{4}x^2(4-x^2)$
ocean sealBOT
Mosh
glass lichen
which is $\frac{9}{4}x^4-10x^2+r^2=0$
ocean sealBOT
Mosh
balmy warren
yes!
ocean sealBOT
Mosh
balmy warren
oh wait
I know where I've gone wrong
mixed up my addition
ended up with $100+9r^2$
ocean sealBOT
IntelligentCake
ocean sealBOT
Mosh
balmy warren
is it because how functions work.
glass lichen
no
balmy warren
oh
glass lichen
if $\Delta <0$, then you wont have any intersections
ocean sealBOT
Mosh
balmy warren
oh wait, because it touches the circle right
glass lichen
and if $\Delta >0$, you get 8 solutions
ocean sealBOT
Mosh
lone heartBOT
lone heartBOT
Available help channel!
lone heartBOT
dense sleet
Oh in question you are basically splitting the second term to factors
alpine sable
Mind explaining in simpler manner?
alpine sable
lmao
∆ is 8?
So ∆ = 1
∆ also equals = 2
How can I say find the opposite of it? What's the opposite of ∆?
alpine sable
wanton nova
or that
alpine sable
Hm
alpine sable
Erm
So 3 oposites
I guess
+-∆ 8
-∆8
+∆8
Does this work?
+-∆ 8 neutrial
-∆8 minus
+∆8 plus
wanton nova
idk this is too advanced for me. also how u wite delta like that
alpine sable
Where's delat in between these?
Well
You combine and boom you got neutrial force
+- is collecting + and -
Like 1+1 Is collection of 2
1-1 is also collection of 2 really yet it's opposite of the first one
So
+-
Alpha delta omega
What ya think
I think i got it right
So say i want to appose all
Alpha omega and delta, the opposite would be a replica of it, that is alpha since it would be 2 collections apposing each other
Essentially how magnets work
Both magnets are alpha
∆ vs ∆ push each other away
That's why you can throw a magnet on top of another if you got the right side and they wil push each other for ever
Interesting
To pull, as in make the magnets work you use + and -
Because + pushes
And - pulls
In reality they really both pull each other, they work together if you we're not to use both against another double of it self
2 forces
)( = ∆ + ∆ (push)
| = ∆ (pull)
Essential you could also say there is a third one that does "nothing" even though it's technically doing something, it's when the magnet it self is not really facing another
∆ + ∆ + ∆ = π
3 neutrials equal pie because it's not complete
You can also do π + π = )(
(oppositional again)
Because both uncompleted, they try to complete but both uncompleted
Not hard, interesting
Just needed some thinking really
Thanks for the assistance
.close
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mint plinth
i collect apples, i eat 1/3, i give my friend 3/5 and nowi have 4 left, how many did i collect att the start
lone heartBOT
i collect apples, i eat 1/3, i give my friend 3/5 and nowi have 4 left, how many...
dense sleet
Write an equation
dense sleet
i collect apples, i eat 1/3, i give my friend 3/5 and nowi have 4 left, how many...
3/5 of what you have after eating 1/3 or 3/5 of collected apples
mint plinth
15
mint plinth
yes
wanton nova
,w x-1/3-3/5=4
ocean sealBOT
solar ermine
,w x-1/3-3/5=4
no.?
wanton nova
why
mint plinth
thats what the answer says in the answer check
wanton nova
no
mint plinth
the x is 15
solar ermine
it should be like
mint plinth
it says
wanton nova
no
mint plinth
basicly
solar ermine
6
mint plinth
k
mint plinth
ye
wanton nova
=4
mint plinth
yes
ocean sealBOT
oak perch
He got 15 Because “I gave my friend 3/5” means I gave my friend 3/5 of apples remaining (apples I ate aren’t counted)
mint plinth
huh?
solar ermine
He got 15 Because “I gave my friend 3/5” means I gave my friend 3/5 of apples re...
5+3+4?
solar ermine
lol
mint plinth
sorry
wanton nova
np
mint plinth
so how do i do iẗ
solar ermine
He got 15 Because “I gave my friend 3/5” means I gave my friend 3/5 of apples re...
can u help me in #help-4
i need help w this
mint plinth
?
wanton nova
nothing
oak perch
can u help me in <#409596215697866773>
Don’t understand the meaning of English word directrices there
solar ermine
Don’t understand the meaning of English word directrices there
do u mind helping me
?
oh wait
nvm lol
mint plinth
bro i need help how do i get 15
wanton nova
yw
lone heartBOT
@mint plinth Has your question been resolved?
dense sleet
The surface of the triangle ABC is 32 cm2. On pages AB and BC, points M and N such that |AM| : |MB| = |BN| : |NC| = 3 : 1. Point G is the intersection of the DIRECTIONS AN and CM. Determine the ratio of the surfaces of the AGC and MBNG characters.
lone heartBOT
The surface of the triangle ABC is 32 cm2. On pages AB and BC, points M and N su...
@dense sleet Has your question been resolved?
lone heartBOT
@dense sleet Has your question been resolved?
dense sleet
<@&286206848099549185>
lone heartBOT
@dense sleet Has your question been resolved?
tacit bison
The surface of the triangle ABC is 32 cm2. On pages AB and BC, points M and N su...
you need to show some work
lone heartBOT
@dense sleet Has your question been resolved?
red kestrel
Why suppose n>=2 and n-1 ? Why was not n=k then n=k+1 ? Can someone explain this please ?
ebon condor
So you need to understand what you're proving
K is your iteration variable
you dont really want to increase that
you're proving n for any number
alpine sable
What numeric values for B would make it equal -> -5^b and (-5)^b
alpine sable
would it be 1?
ebon condor
$(ab)^n = a^nb^n$
ocean sealBOT
KurtDee
ebon condor
-5 = -1*5
alpine sable
so how do I do it
ebon condor
where are you stuck
alpine sable
what do I do with the exponent rule
ebon condor
I mean like what are you really trying to do here
solve for b
so how do you want to do that
alpine sable
-5^b and (-5)^b
what would b be to make them equal is the question
what would I do first
?
ebon condor
I mean ideally you should equate the exponent base
you're dealing with two different bases, 5 and -5
swift shore
-5^b and (-5)^b
Well what is (-5)^b? Using that exponent rule above
alpine sable
(-1^b 5^b)
swift shore
Right, and what is (-1)^b
alpine sable
(-1^b 1^b)
swift shore
Well yeah, but that doesn't help us any more
(-1)^b depends on what b is. If b is even, it'll equal 1, and if it's odd it equals -1. Do you see?
Anyway we might be getting off track
swift shore
So your equation now looks like $$-5^b = (-1)^b \cdot 5^b.$$
ocean sealBOT
abs_0
swift shore
You can see there's a 5^b term on both sides, and if you divide both sides by 5^b you get...
alpine sable
so yeah b needs to be odd numbers I'm guessing
swift shore
Don't make that decision prematurely, I was just pointing it out. We don't know yet
alpine sable
oh ok
swift shore
You can see there's a 5^b term on both sides, and if you divide both sides by 5^...
So what happens when you do this
alpine sable
-1^b
swift shore
It should be an equation
swift shore
**abs\_0**
Take this and divide both sides by 5^b. What equation do you get?
alpine sable
-1^b = (-1)^b
swift shore
You should get -1 = (-1)^b
And from our discussion before, this is true whenever b is odd. Therefore the possible solutions for b are all odd numbers
lone heartBOT
lone igloo
I know that for n -> infinite the series converges to -1
for n = 1 it's -2
so are the infimum -2 and the supremum -1 ?
lone heartBOT
Available help channel!
lone igloo
I know that for n -> infinite the sequence converges to -1
for n = 1 it's -2
so are the infimum -2 and the supremum -1 ?
cerulean vine
noble sinew
I know that for n -> infinite the sequence converges to -1
for n = 1 it's -2
so ...
Yes
dark ridge
can someone help meeeeeeeeeeeee
lone heartBOT
can someone help meeeeeeeeeeeee
fathom mantle
You said is easy, so maybe try what you can do
Then let us know when you’re stuck!
hybrid furnace
someone responded to your one in the other channel
languid bolt
ye i did
lone heartBOT
@dark ridge Has your question been resolved?
tacit arch
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uneven thicket
Hello! I got this one question, how does D(Dy-r2y)-r1(Dy-r2y) turn into the bottom line?
tacit arch
Hello! I got this one question, how does D(Dy-r2y)-r1(Dy-r2y) turn into the bott...
wtf is D
and the rest of your variables
uneven thicket
alright, give me one second I'll send the whole thing
so
-b = r1 + r2 and c = r1r2
uneven thicket
Yes, just trying to find out how the factoring went
uneven thicket
oh I think I see it now
oh I do see it now, thanks that was so simple lol
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worn karma
How would I derive an explicit expression for this ?
lone heartBOT
How would I derive an explicit expression for this ?
@worn karma Has your question been resolved?
lone heartBOT
@worn karma Has your question been resolved?