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- How much zeros has the number $1000!$ at the end?
If a number ends with n n zeros than it is divisible by 10n 10 n, that is 2n5n 2 n 5 n A factorial clearly has more 2 2 s than 5 5 s in its factorization so you only need to count how many 5 5 s are there in the factorization of 1000! 1000!
- What does it mean when something says (in thousands)
It means "26 million thousands" Essentially just take all those values and multiply them by 1000 1000 So roughly $26 $ 26 billion in sales
- algebra precalculus - Partitions using only powers of two on $1000 . . .
How many ways are there to write $1000$ as a sum of powers of $2,$ ($2^0$ counts), where each power of two can be used a maximum of $3$ times Furthermore, $1+2+4+4$ is the same as $4+2+4+1$
- calculus - Optimization Problem. Find Smallest Perimeter of a Rectangle . . .
QUESTION Find the dimensions of a rectangle with area 1000 1000 m 2 2 whose perimeter is as small as possible MY WORK I think we are solving for dy dx d y d x:
- Determine the number of odd binomial coefficients in the expansion of
4 Determine the number of odd binomial coefficients in the expansion of (x + y)1000 (x + y) 1000 Hint: The number of odd coefficients in any finite binomial expansion is a power of 2 2 Is there a way to prove this without using something like Lucas's theorem or any other non-trivial result?
- Look at the following infinite sequence: 1, 10, 100, 1000, 10000,
What is the proof that there are 2 numbers in this sequence that differ by a multiple of 12345678987654321?
- What is mathematical basis for the percent symbol (%)?
Percent means 1 part of 100 or 1 100 and is indicated with % Per mille means 1 part of 1000 or 1 1000 and is indicated with ‰, so it seems that these symbols indicate the mathematical operations
- Decreasing perpetuity problem - Mathematics Stack Exchange
A perpetuity pays 1000 immediately The second payment is 97% of the first payment and is made at the end of the fourth year Each subsequent payment is 97% of the previous payment and is paid four
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