X^3 + 5^3
(x+5)x(x^2-X x 5+5^2)
(x+5)x(x^2 -5x+5^2)
(x+5)x(x^2 -5x+25)
(x+5) x (x^2 -5x+25)
$30.50-$17.79 is $12.71. I hope that helps you :)
Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
Answer:
The tree was 175 centimeters tall when Vlad moved into the house.
7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.
Step-by-step explanation:
The height of the tree, in centimeters, in t years after Vlad moved into the house is given by an equation in the following format:

In which H(0) is the height of the tree when Vlad moved into the house and a is the yearly increase.
He measured it once a year and found that it grew by 26 centimeters each year.
This means that 
So

4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house?
This means that when t = 4.5, H(t) = 292. We use this to find H(0).




The tree was 175 centimeters tall when Vlad moved into the house.
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
This is t for which H(t) = 357. So






7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.
Answer:
The probability that five cars will arrive during the next thirty minute interval is 0.0127.
Step-by-step explanation:
Let <em>X</em> = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.
The average number of cars arriving in 20 minutes is, 8.
The average number of cars arriving in 1 minute is,
.
The average number of cars arriving in 30 minutes is,
.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 12.
The probability mass function of <em>X</em> is:

Compute the probability that 5 cars will arrive in 30 minutes as follows:



Thus, the probability that five cars will arrive during the next thirty minute interval is 0.0127.