8.16 is your answer. Whenever you multiply any decimal by 10, move the decimal point one place to the right to get your answer. Whenever you multiply any whole number by 10, add a 0 at the end of the number to get your answer.
Since a sphere's surface area is 4πr², we then need to find r as a function of time t, which is 9t (since it increases by 9 every second)+0 (the initial value)=9t. Plugging it in, we get 4π(9t)²=4π*36t²=144πt²
Answer:
Step-by-step explanation:
x=20
Reorder the terms:
(2 + 5x) = 3(x + 14)
Remove parenthesis around (2 + 5x)
2 + 5x = 3(x + 14)
Reorder the terms:
2 + 5x = 3(14 + x)
2 + 5x = (14 * 3 + x * 3)
2 + 5x = (42 + 3x)
Solving
2 + 5x = 42 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 5x + -3x = 42 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2 + 2x = 42 + 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 2x = 42 + 0
2 + 2x = 42
Add '-2' to each side of the equation.
2 + -2 + 2x = 42 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = 42 + -2
2x = 42 + -2
Combine like terms: 42 + -2 = 40
2x = 40
Divide each side by '2'.
x = 20
Simplifying
x = 20
Answer:
yes
Step-by-step explanation:
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers
Answer:
The remainder = 13.
Step-by-step explanation:
By the Remainder Theorem the remainder when the function is divided by
x - 1 is f(1).
f(1) = 4(1)^3 + 4(1)^2 + 2(1) + 3
= 4 + 4 + 2 + 3
= 13.
So x - 1 is not a factor of f(x).
If it was a factor the remainder would be 0.
