Answer:
He confused the height and diameter
Step-by-step explanation:
Given that,
The radius of the cylinder, r = 2.5 cm
Height of the cylinder, h = 24 cm
The volume of the cylinder is given by the formula as follows :

Vaughn is confused in diameter and the height of the cylinder. He takes radius as 12 cm and height as 5 cm which is wrong. Hence, the correct option is (a).
Answer:
(g◦f)(x) = 2x +1
Step-by-step explanation:
(g◦f)(x) = g(f(x)) = g(2x -1) = (2x -1) +2
(g◦f)(x) = 2x +1
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Substitute f(x) for the argument in the function g(x) and simplify.
Explanation:
The equation for this problem can be modeled in y = mx + b form.
m represents the rate of change and b represents the initial value or constant.
y = 10x + 20
x represents the number of hours he spent delivering newspapers
y is his total money after whatever number of hours he worked
The rate is 10, because it determines how much money he earns for each hour.
The y-intercept is 20, representing the starting amount of money in his bank account.
9 and 1/2 is a mixed number
Answer:
1
Step-by-step explanation:
There can be 0, 1 or infinitely many solutions. 0 if they are parallel and are different lines, 1 if the slopes are different, and infinitely many if they are the same line.
2x - 4y = 8
x + y = 7
Change to y = mx + b
y = (1/2)x - 2
y = -x + 7
The slopes are different so there is 1 solution.
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