Step-by-step explanation:
<u>Step 1: Find the radius of the big cone</u>





<u>Step 2: Find the volume of the small cone</u>


← Volume of Small Cone
<u>Step 3: Find the volume of the large cone</u>
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← Volume of Large Cone
I got -18-3r
Don't know if the last number is -3r
Answer:
3w² + 10w +8 (C)
Step-by-step explanation:
A rectangle has a length that is 3 times its width, w, in inches. The width is increased by 2 inches, and the length is increased by 4 inches. Which expression represents the area of the larger rectangle?
First, remember that the length of the first rectangle is 3 * w, or 3w.
Now, onto the second rectangle.
The width is increased by 2, so it becomes w + 2
The length is increased by 4, so it becomes 3w +4.
Area is length times width, so the area is
(w + 2)(3w + 4)
Simplify.
3w*w + 4*w + 2*3w + 2*4 =
3w² + 4w + 6w +8
3w² + 10w + 8, or C
The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>

Thus average rate of change from x = -1 to x = 2 is 2