The function that describes the graph is an exponential function
<h3>How to determine the function type?</h3>
From the graph, we have the following highlights:
- Initially, when x increases; y seem not to increase
- Then, x and y increase at the same time
- Finally, y increase and x seem not to increase
The above is the description of an exponential function
Hence, the function that describes the graph is an exponential function
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Let angle be x
4 times complement = 4(90 - x)
2/3 times its supplement = 2/3(180 - x)
4(90 - x) = 2/3 (180 - x)
360 - 4x = 120 - 2/3 x
240 = 3 1/3 x
x = 240 / 10/3 = 240 * 3/10 = 72 degrees Answer
X-18 = 2 (X-25)
x-18 = 2x - 50
-18 = x - 50
32 = x
check
32-18 = 14 = 2(32-25) = 2*7
32 is the answer
Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,


So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:

Where, B is the base area and r is the radius.


So, the base area is
square inches.
The volume of the cylinder is:


Where, r is radius, h is height, B is base area.
Putting
and
, we get


So, the volume is
cubic inches.
Therefore,
.