5x = 3 = 5x + 4
x + 3 = x + 4
x = x + 1
Therefore,
|x| = Infinity
no its invalid if you search for it on wolframalpha it says False.
Well, The Maths Topic exists, but anyway…
Hraesvelg: The final dollar goes to pay the bills of staying.
25 dollars is the sum they paid to stay at the room. 2 dollars they paid to the bellboy.
Therefore, a total of 27 dollars was being paid by them. 27/3 = 9. You shouldn’t have added two to the sum they paid - Since they have already paid it!
But that is the riddle, of course…
Problem 2:
[spoiler]The possibility for two repeated digits is, the 1° and the 2° (xxy), the 1° and the 3° (xyx), the 2° and the 3° (yxx);
First case: the 1° digit (the hundreds one) has 9 possibilities (from 1 to 9), the 3° one is free and can be 10 numbers (0-9), so it’s 910=90 numbers
Same with the second case: 90 numbers.
For the third case, first digit can be 9 numbers, the other two can be 10, so it’s still the same: 910= another 90 possibilities.
But wait! We counted the single-digit numbers three times! (111, 222, etc.) so we must subtract 9*2=18 to the sum, making 90+90+90-18=252 numbers.
The remaining ones are therefore (999-100+1) - 252 = 900 - 252 = 648.[/spoiler]
Problem 3:[spoiler]After spending on clothes, she has half the money left; after games, it’s 1/2 - (1/2 * 1/3) = 1/3; after toys, it’s 1/3 - (1/3 * 1/4) = 1/4 money left.
So it’s x/4=7777, so x = 21108, where x is yearly allowance. To get a single month, we do x/12= 7777/3 = 2592,33.[/spoiler]
Not having math problems but I found a few interesting mathematical stuff
You can for example turn around 1212=144 to 441=2121
Same thing goes for 1313=169|961=3131 or 1111=121|121=1111
The answer to everything^2 is 1764 and 1337^2 is 1787569
Im trying to find more funny patterns
Something notable is that
[13.37 * pi] = 42
where [x] denotes the largest possible integer that is < x. Actually, even without the [], it is accurate to two decimals.
the gravitational pull of a planet compared to earth is 3:8 or 3/8 a new moon starts to orbit the other planet making the gravitational pull 5x stronger what is the new ratio? it took me a while to figure that out myself
Math/Physics Problem… Solve it for cookies.
(Let’s just say that 1g = 9.8 m/s^2 instead. That is equal to 9.8 newtons of force per square kilogram. )
You drop a 1000kg object from 1km high. If it were to fall at a steady rate of 9.8 meters per second, how much force will it undergo when it hits the ground?
lets find the determinant of [A]!!
1 3 4
[A]= 2 6 2
5 0 1
Expand row 3!!
3 4 1 3
5 – 6 2 + 1 – 2 6
=5[3(2)-6(4)] + 1[1(6)-2(3)]
=5[6-24] + 1[6-6]
=5[-18] + 0
= -90!!!
yayy!!
It depends on how long the collision lasts. Longer lasting collisions will result in a smaller average force. The impulse, however, can be calculated:
kinetic energy = 0.5 * mass * velocity^2
potential energy = mass * gravitational acceleration * height
kinetic energy = potential energy
0.5 * mass * velocity^2 = mass * gravitational acceleration * height
velocity = sqrt(2 * gravitational acceleration * height)
impulse = difference in momentum
difference in momentum = final momentum - initial momentum = mass * (0 - initial) = mass * sqrt(2 * gravitational acceleration * height) = 1000 * sqrt(2 * 9.8 * 1000) = 140,000 Ns
God, I’m still in Geometry and High school O_o, so I dunno what’s going on here ^_^.
Best I know?
3x-2 is parallel to 3x-12 on a grid.
-1/3x + 17 is perpendicular to 3/1x + 1,000 on a grid. (I think anyways, still a freshmen in high school )
<.< >.>
I don’t know much either.
Except the Infinity - Infinity isn’t indeterminate. It’s 0.
how long is the piece of string -------------------------------------------
A: since you dont know the exact length its the amount it takes for the right side to get to the left side(vice versa)multiplied by two, right?
342 Pixels?
haha lol no its just an example
Except the Infinity - Infinity isn’t indeterminate. It’s 0.
Explain.
Hmmm…
Well, Infinity, subtracted by itself, should be zero.
Because even though it is unlimited, no further numbers exist.
So even though Infinity + 5 = Infinity, Infinity = Infinity, never something greater, because nothing greater exists. So just treat Infinity like a number.
So Infinity - Infinity = 0.
If it is true, Infinity - Infinity - Infinity = -Infinity, because 0 - Infinity = -Infinity.
Hmmm…
Well, Infinity, subtracted by itself, should be zero.
Because even though it is unlimited, no further numbers exist.
So even though Infinity + 5 = Infinity, Infinity = Infinity, never something greater, because nothing greater exists. So just treat Infinity like a number.
So Infinity - Infinity = 0.
If it is true, Infinity - Infinity - Infinity = -Infinity, because 0 - Infinity = -Infinity.
There is no number such as infinity. And even it there were, it would not hold under arithmetic axioms.
I’ll have to repeat: There is no “infinity” number.
Hmmm…
Well, Infinity, subtracted by itself, should be zero.
Because even though it is unlimited, no further numbers exist.
So even though Infinity + 5 = Infinity, Infinity = Infinity, never something greater, because nothing greater exists. So just treat Infinity like a number.
So Infinity - Infinity = 0.
If it is true, Infinity - Infinity - Infinity = -Infinity, because 0 - Infinity = -Infinity.
Something subtracted by itself is always 1.
edit: oops my fault, meant divided.
In my opinion Infinity+5=Infinity+5 just like x+5=x+5, even tho nothing is bigger then infinity…
You mean divided, don’t you?
I didn’t know 5-5=1