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Answer:
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
Step-by-step explanation:
Answer:
Yes, he can.
Step-by-step explanation:
To find the sale, you need to times the sale percentage by the original price so
60 x 0.50 = 30
Then you subtract the original price by the sale price so
60 - 30 = 30
So the with the sale, the price is $30.
Now the tax
Do the same
30 x 0.045 = 1.35
Now instead of subtracting you add so
30 + 1.35 = $31.35
Yes, he can afford it.
(g-f)(x) is x² - 3x - 6
<u>Step-by-step explanation:</u>
Step 1:
Given g(x) = x² - 1 - 2x, f(x) = x + 5. Find (g-f)(x)
(g-f)(x) = x² - 2x - 1 - (x + 5) = x² - 2x - 1 - x - 5 = x² - 3x - 6
That's again the derivative at 2, so the answer is A. 4. Hard way:
f(x)=x²
f(2)=4
f(2+h) = (2+h)² = 4 + 4h + h²
f(2+h) - f(2) = 4h + h²
(f(2+h)-f(2))/h = 4 + h
Limit is 4.
Answer: A. 4