The rockets rate of change in miles per second is:
(5 - 1)/(2.5*60 - 30) = 1/30 miler per second or 0.033
the rockets rate of change in miles per minute is:
(5 - 1)/(2.5 - 30/60) = 2 miles per minute
Answer:
Work shown below
Step-by-step explanation:
t = 15w + 40
Answer:
The slope of g(x) is: 
The slope of f(x) is: 
Step-by-step explanation:
For this exercise you need to know that:
1. By definition the slope of any horizontal line is zero (
)
2. The slope of a line can be calculated using the following formula:

In this case, you can observe in the graph of the function g(x) given in the exercise that it is an horizontal line. Then, based on the explanation given before, you can conclude that its slope is:

To find the slope of the function f(x) shown in the table attached, you need to follow these steps:
- Choose two points from the table:
and 
- You can say that:

- Substitute values into the formula
:

- Finally, evaluating, you get:

Answer:
268 units³
Step-by-step explanation:
V = 4/3 (pi)r³
V = 4/3 (3.14) (4³)
V = 4/3 (3.14) (64)
V = 4/3 (200.96)
V = 268
Answer:
Step-by-step explanation:
your basically multiplying everything in the first parenthesis by everything in the second parenthesis
(x + 4y + z)(x - 7y) =
x(x - 7y) + 4y(x - 7y) + z(x - 7y) =....keep in mind, 4yx is the same as 4xy
x^2 - 7xy + 4xy - 28y^2 + zx - 7zy....combine like terms
x^2 - 3xy - 28y^2 + zx - 7zy <---- your answer
this is the distributive property