Answer:
471ft^3
Step-by-step explanation:
5^2 x 6 x 3.14
25 x 6 = 150
150 x 3.14 = 471
Set equations for both containers:
Condition one: $y=2x$
Condition two: $(y-3)=4.5(x-2)$
plug in $y$ from condition one into the second equation:
$2x-3=4.5x-9$
simplify gives: $2.5x=6$
$\boxed{x=2.4}$
$\boxed{y=4.8}$
Given, Shelby made 5 quarts of juice for a picnic.
We know that 1 quart of juice = 4 cups of juice.
Here we will have to convert 5 quarts to cups.
As for 1 quart there are 4 cups, to find 5 quarts we have to multiply 4 times 5.
So 5 quarts of juice =
cups of juice.
We know that, 
5 quarts of juice = 20 cups of juice.
We have got the required answer here.
Shelby made 20 cups of juice there in the picnic.
(2^8 . 5^-5 . 19^0)^-2
using PEMDAS
this = (2^8 * 1/5^5 * 1)^-2
= (5^5 / 2^8)^2
= 5^10 / 2^16
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.