Answer:
There are a total of 2011 integer divisors.
Step-by-step explanation:
The only primes p such that 1/p has finite spaces after the coma are 2 and 5. If we divide a number with last digit odd we will obtain 1 extra digit after the decimal point and if we divide a number by 5 we will obtain 1 more digit if that number has a last digit in the decimal which is not a multiple of 5.
If we take powers of those primes we will obtian one more digit each time. In order to obtain more digits it is convinient to divide by a power of 2 instead of a power of 5, because the resulting number will be smaller.
If we want 2010 digits after the decimal point, we need to divide 1 by 2 a total of 2010 times, hence f(2010) = 2²⁰¹⁰, which has as positive integer divisors every power of 2 between 0 and 2010, hence there are a total of 2011 integer divisors of f(2010).
Answer:
Option C
Step-by-step explanation:
Lets convert it into improper fraction.
Lets convert 
into a mixed fraction.
Rounding off 7.04 gives 7 and rounding 7 further gives 10.
So , the estimate of the product is 10
Answer:
3^5
Step-by-step explanation:
<em>exponents:</em>
1 - ( - 4 ) = 5
Therefore,
3^5
Answer:
19 cups of water.
Step-by-step explanation:
1:2 ratio
1=9.5
2=9.5*2= 19
So last week Paul worked 2.5x this week's hours, so he worked a total of 2.5x15= 37.5 hours last week.
