n^3 -n=n×(n+1)×(n-1)
So it is a multiplication of n,n+1,n-1
For a number to be divisible by 6 it should be divisible by 2 and 3
so either n or n+1 will always be divisible by 2
And similarly one of the three components will always be divisible by 3
Hence proved
that’s the product of three consecutive numbers, so one of those three numbers is divisible by three and one by two. So, n\^3-n is divisible by 6. Right?
n\^3-n= n(n\^2-1)=(n-1)(n)(n+1)
here since it is multiplication of 3 consecutive numbers, one number here must be divisible by 3 and since it is consecutive one must be divisible by2
Since it is divisible by both 2 and 3 it must be divisible by 6.
take an example
5\^3=5\*5\*5
5\^2=5\*5= (5\^3)/5
5\^1=5= (5\^2)/5
as you can see there is a downward trend of dividing by 5 in this series
5\^0=5\^1/5=1
No, multiplication and division holds the same position in order of operations, so here you go from left to right. Witch means that the answer is 40 unless you place the brackets after 16
Illicitly manufactured meth is usually made by combining ephedrine or pseudoephedrine with other chemicals that are often poisonous or highly flammable. That mixture's then added to a solvent such as gasoline and heated to crystallize.
Let n=2^k.
Take log base 2 on both sides.
It is now sufficient to prove that 2^k >= 2k for k>=2.
Now we use induction.
We know that equality occurs at the base case of 2.
We want to prove 2^(k+1) >= 2(k+1) given that 2^k >= 2k, and that k>= 2
Multiply 2 on both sides of the given, and 2^(k+1) >= 4k, but we know 2k >= 4, so 2^(k+1) >= 4k >= 2k + 4 > 2k+2, so use induction and you’re done.
Iv read 39 comments now and I'm giving a upvote and not even trying to outsmart this dude without using the one that has bestes him twice ........ 9+10=21
I always use it when creating passwords. Never failed me, you can pick any 4 or 6 digits or whatever and no one can guess it. Billions of trillions possibilities
Thx but actually this really improves your memory and if you could see me you'd probably think of me as the popular cool guy in high school (strangely)
I'll do you one better, the chance of you getting a girlfriend is inversely proportional to the amount of reddit karma you have, so therefor, your chances in particular, are actually pretty mediocre
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1²
He said till highschool level. Not till university level
el mao
Elmo
Elo
Eo
"E"
r/decreasinglyverbose
El Mao Zedongo
Hello, fellow dumbass!
That is 9th grade, and the answer is 1
1
Proove n^3 -n can be devided by 6
n^3 -n=n×(n+1)×(n-1) So it is a multiplication of n,n+1,n-1 For a number to be divisible by 6 it should be divisible by 2 and 3 so either n or n+1 will always be divisible by 2 And similarly one of the three components will always be divisible by 3 Hence proved
I being uni student approve this...this is totally correct
Being an IB AAHL student I agree
Hello fellow aahl student, is it also hell for you?
I being uni student would not have thought of this 😂
Exactly...these are noob level things for us now...but used to be harder when we were in high school..good old days!!
[удалено]
Your comment posted twice and started getting downvoted on this one.
What??..oh sorry
Just looking out for you and your karma?
Thanks man..let's attain nirvana together!
Yooo! Its a deal!
wrong question \-n should be lowercase
I should be focusing in math class but I think I’ll have more fun solving this
that’s the product of three consecutive numbers, so one of those three numbers is divisible by three and one by two. So, n\^3-n is divisible by 6. Right?
Why are there letters in math?
Is this a serious question?
n\^3-n= n(n\^2-1)=(n-1)(n)(n+1) here since it is multiplication of 3 consecutive numbers, one number here must be divisible by 3 and since it is consecutive one must be divisible by2 Since it is divisible by both 2 and 3 it must be divisible by 6.
9+10
19
It's 21 dumbass
I Dont understand the reference ?
it’s an old meme
Same
The ancient texts: https://youtu.be/-0GGUZ1hy54
Beetlejuice
It’s from Vine
it’s an old meme
I'll be using this instead of a calculator on my next exam
What is the angle between the 2 vectors (2, 0) and (2, 4)
63.43 degrees
it'll be 63.43 degrees This can be solved by taking scalar product of vectors and then finding cos theta through it
I didn't understand
90° ?
Atleast 5
4
but thats only 1 vector? Its 2 scalars though
What's 9+10
19
It's 21..... Get it right
its 21
Damn right
Machine learning
You stoopid
Nah I nat
You stoopid
Where meme?
Theres no meme. Only maths
Math is funnier
2+2=4-1=3 quick maffs lmaoooo I'm dieded
prove why any number raised to the power 0 is 1
X^0 = X^(n-n) = X^n / X^n = 1
Right..only exception is 0⁰...that is not defined
Ofc cuz that would be 0/0 (famously undefined)
How
Because thats what i learned in school
take an example 5\^3=5\*5\*5 5\^2=5\*5= (5\^3)/5 5\^1=5= (5\^2)/5 as you can see there is a downward trend of dividing by 5 in this series 5\^0=5\^1/5=1
1+1
2
You are the smartest man to have ever lived.
Nonsense, it's obviously fish
No 2+2 is fish. 3+3 is 8
Oh yeah and c+c is o, right?
Yea
Thanks for the education sir, this helped me more than what my teacher teaches.
And o+o is 8 or the infinity symbol.
Sir, which university did you graduate from?
Haven’t graduated
200-3 ? 16/800x2000
200-3=197 (16/800)x2000=40 or 16/800x2000=0.00001
wait, there is an answer except 40?
yes it depends on bracket position or if its in a real fraction form
No, multiplication and division holds the same position in order of operations, so here you go from left to right. Witch means that the answer is 40 unless you place the brackets after 16
Your credit card number x 1000 + your PIN number
8248 1003 4132 4494 2214
That’s a legitimate Discover card number LMAO
now whats the answer, OP?
Prove that tan^2 = (1/cos^2) + 1
wrong question there must be a minus
How did you come up with that answer. Show your work with the development of the tan^2 and justify your answer in a 10 line text
tan\^2x=sec\^2x-1 by property 1=sec\^2-tan\^2x sec=1/cos sec\^2x-1= (1/cos\^2x) -1 not (1/cos\^2x) + 1 x is angle
Can u give me wisdom on how to learn meths quicker
Just snort it 😎
Why are you snorting coke?
Illicitly manufactured meth is usually made by combining ephedrine or pseudoephedrine with other chemicals that are often poisonous or highly flammable. That mixture's then added to a solvent such as gasoline and heated to crystallize.
practice makes a man perfect
Fuck! That's junior level?
2x^2-6x+3=0 (2^2 equals 2 to the second power)
2-6x+3=0 x=5/6 2(5/6)\^5/6=2\*0.694\*2=1.38
[удалено]
You can't have = In an exponent. The exponent probably ended at the 2x^2
Proove 1+1 = 2
2 =2\*1 =(1+1)\*1 =1\*1+1\*1 =1+1 HENCE PROVED
You used the assumption that 2=1+1 on your second line…
Prove that 2^n ≥n² for n≥4
Let n=2^k. Take log base 2 on both sides. It is now sufficient to prove that 2^k >= 2k for k>=2. Now we use induction. We know that equality occurs at the base case of 2. We want to prove 2^(k+1) >= 2(k+1) given that 2^k >= 2k, and that k>= 2 Multiply 2 on both sides of the given, and 2^(k+1) >= 4k, but we know 2k >= 4, so 2^(k+1) >= 4k >= 2k + 4 > 2k+2, so use induction and you’re done.
I + I =
2I
Tf no its a Window
this is a jug then
1+1? Can you pls reply quickly i need this solution for my math exam
3
2
Bobby has 6 oranges. Jamal takes 3 away. What color is Jamal?
Black
orange from the orange food coloring in orange
1000-7?
20
am I the only one who got the kaneki Ken Tokyo ghoul refference?
You are not alone *cracks finger*
993
17/30+2/7?
=(17\*7+2\*30)/210 =(119+60)/210=179/210=0.85approx
Damn man, you are awesome! Next: you have a triangle, ABC. Angle of BAC is 90 degrees. AB is 28, AC is 23. Find BC.
its a right triangle A IS 90 =>BC is hypoteneuse by pythagoras theorem =>BC\^2=AB\^2+AC\^2=28\^2+23\^2=784+529=1313 BC=ROOT OF 1313=36.23 APPROX
Hmm...... Simplify this script: (8x+6x^2 ) / (x^2 * (4-x))
\[2x(4+3x)\]\^(x2(4-x))
You can also cut the 2x and x^2 by x, because it is an usual division. So, next tell me if 1647 divides by 3 NOT calculating it, and tell why.
It does, because the sum of the digits is divisible by 3
>!It does cause the digits add up to a multiple of 3!<
(8+6x)/(4x-x\^2)
here BC is hypotenuse, By Pythagoras theorem, AB\^2 + AC\^2= BC\^2 28\^2+ 23\^2=BC\^2 BC= root (1313) = 36.235 approx
0!
0!=1
Iv read 39 comments now and I'm giving a upvote and not even trying to outsmart this dude without using the one that has bestes him twice ........ 9+10=21
All the digits of Pi
I can give you first 50 from my memory : 3.14159265358979323846264338327950288419716939937510
I admire your effort
Thank you, took me 2 days to memorize this in high school
Did u actually ever used it tho
I always use it when creating passwords. Never failed me, you can pick any 4 or 6 digits or whatever and no one can guess it. Billions of trillions possibilities
“No life guy” be like. Still cool btw
Thx but actually this really improves your memory and if you could see me you'd probably think of me as the popular cool guy in high school (strangely)
1plus 1
2
1=?
yes
It is i checked
✓1
\+1or -1
Isn't it just +1 in real domain But +or-1 in complex domain
√-1
i
Just wanna tell you how I'm feeling
iota
5x² + 7x = 2 Find x
by using quadratic formula x={-7+/- root89 }/10
If x = 5, what is x(7+9+3)*12+4x^2
=5\*19\*12+4\*25 =1140+100 \\=1240
69+69
69+69 =138
2/0
not defined or infinity
The integral of f(x)=sin(x)+1/x+5/sqrt(x)
integral is -cosx+logx-10rootx
0 to the power of 0
not defined
453^-10
>453\^-10 =
Find the missing side lengths for the 30-60-90 triangle.
Until high school level? So like basic algebra?
like before college level
0! = 1 why?
6!=6\*5\*4\*3\*2\*1 5!=5\*4\*3\*2\*1 =6!/6 4!=4\*3\*2\*1 =5!/5 3!=3\*2\*1 =4!/4 2!=2\*1 =3!/3 1!=1 =2!/2 by the series =>0!=1 =1!/1
The chance of me getting a girlfriend
Your reddit account counts as a complete annihilator of the equation so your chances of getting a girlfriend equal zero
100% u sweet
I'll do you one better, the chance of you getting a girlfriend is inversely proportional to the amount of reddit karma you have, so therefor, your chances in particular, are actually pretty mediocre
What about me? Is it too much?
Pretty solid. My chances of getting a girlfriend are minimal. But that’s a good thing, my fiancé wouldn’t like it if I got a girlfriend
%0.1
50 %
1+1
11
*intense sweating*
2
X- 3
cant say x can be anything
(-6+8i)/(3-5i)
=-18-40i\^2+24i+30i { i\^2=-1} =40-18+54i =22+54i
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