Answer:
64π m³
Step-by-step explanation:
The general formula for the volume of a cylinder:
V = πr²h, where 'r' is the radius and 'h' is the height
In the given problem, the radius is equal to 4 m and the height is equal to 4 m. Plugging these values into the equation:
V = π4²(4) = π16*4 = 64π m³
Answer:
<h3>
f(x) = - ⁴/₉(x - 3)² + 6</h3>
Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
So for vertex (3, 6) it will be:
f(x) = a(x - 3)² + 6
<u>y intercept: 2</u> means f(0) = 2
f(0) = a(0 - 3)² + 6
2 = a(-3)² + 6
2 -6 = 9a + 6 -6
-4 = 9a
a = ⁻⁴/₉
Therefore:
The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is
<u>f(x) = - ⁴/₉(x - 3)² + 6</u>
The correct answer for the question that is being presented above is this one: "C. f(n) = 0.15n + 0.35." The equation that represents Marisa’s library fine as a function of a book that is n days overdue is f(n) = 0.15n + 0.35
Here are the following choices:
A. f(n) = 0.15n
<span>B. f(n) = 0.50n
</span><span>C. f(n) = 0.15n + 0.35
</span>D. f(n) = 0.50n + 0.15
For this case we have the following function:
We change the variables:
From here, we clear the value of y.
Then, we make the following change:
Finally, the inverse function is:
Answer:
The inverse of the given relation is:
So, We Need To Write An Equation. Lets Make Some Variables.
Max Amount He Can Spend: X
Max Amount Of Hours: H
Cost Per hour: P
Deposit : D
So, Lets Start.
We Can Write:
H = (X - D) / P
Now, Just Plug In The Known Values.
H = (30 - 15) / 3
That Is Our Equation.
Now, Just For Fun, I Will Solve It.
So, We Need To Simplify.
30 - 15 = 15.
So, We Have:
H = 15/3
So, We Know:
15/3 = 5.
So, We Can Substitute 5 for 15/3.
We Get:
H = 5
So, He Can Canoe For 5 Hours.
