Answer:

Step-by-step explanation:
The volume of a cylinder is given as:

Since the diameter is
, the radius is
.
Therefore, the volume of this cylinder is:
, using
as requested in the problem.
Since the tank is emptied at a constant rate of
, it will take
to empty the tank.
Answer:
B:942$
Step-by-step explanation:
(pi*20^2)/2 is approximately 628.32
628.32*1.5=942.48
1 penny is just 1c
one nickel is 5 pennies or 5c
alrite...
p = amount of pennies in the jar
n = amount of nickels in the jar
we know there are 56 coins in the jar, thus whatever "p" and "n" are,
p + n = 56
we also know, the total value of all pennies and nickels is one buck and 52 cents, or 1.52.. that's 152 pennies.
now, we know there are 5 pennies in one nickel, so in "n" nickels, there are 5*n pennies, or 5n, thus
p + 5n = 152

solve for "p", to see how many penny coins are there.
what about the nickels? well, n = 56 - p.
Answer:
a)148.47
b)148.34
Step-by-step explanation:
Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.
We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.
A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.
a)The number of primes between 1 and 1030.
1030/log(1030)=148.47
b) The number of primes between 1 and 1029.
1029/log(1029)=148.34
Extra: π(1029)=π(1030) because 1030 is not a prime.