Answer:
V = πr²h
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
where V is the volume, r is the radius, and h is the height of the cylinder.
_____
<em>Comment on the formula</em>
This is a specific version of the formula for any sort of "prism" with parallel bases and a uniform cross section (parallel to the bases). The volume of such a figure is computed as ...
V = Bh
where B is the area of the base and h is the perpendicular distance between the parallel bases. Here, the base is a circle, so has area formula ...
B = πr²
Filling this into the volume formula gives ...
V = πr²h . . . . . as above
Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given

Required
Determine an equivalent or nonequivalent expression

We have:

Apply law of indices

<em>This is not equivalent to </em>
<em></em>

We have:

Apply law of indices

<em>This is not equivalent to </em>
<em></em>
<em></em>
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<em />
We have:
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Apply law of indices
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<em>Evaluate the numerator</em>
<em />
<em />
<em />
<em>This is an equivalent expression</em>
Answer: -2
Step-by-step explanation:
3x+2y=16
x+y=4 multiply by -2
-2x-2y=-8
3x+2y=16 ------a
-2x-2y=-8 -------b
Add equation a and b
(3x+-2x)+(2y+-2y) = 16+(-8)
x+0=8 (y has been eliminated)
There were 16 total storms, meaning our denominator is 16. Since 8 grew into hurricanes, we can leave that alone. Since 5 out of 16 storms were major, 5 is our numerator.
5/16 storms were major because 8 were hurricanes and the other 3 were other kinds of storms. As a decimal conversion, about 31% of these storms were major.
How to find the percentage conversion:
Step 1: We take the fraction 5/16.
Step 2: Since our numerator is 5 and the default denominator is a maximum of 100, we can multiply 5 by 100.
5 x 100 = 500
Step 3: We can divide 100 by 16 to get our decimal conversion.
100 divided by 16 will give us 31.25, which also is representative of 31 and 1/4 added together.
Your final answer: With there being 16 storms, 5 of these storms are major (5/16). In terms of if there were 100 total storms, about 3/10 of these storms were major.