ANSWER
EXPLANATION
The given function is:
and
To find g(f(-1)), we substitute x=-1, to obtain;
We simplify the square in the denominator to get,
We now add the denominator to obtain;
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Answer:
The exact value of its surface area = 144π m²
The exact value of its volume = 288π m³
Step-by-step explanation:
∵ The diameter of the sphere is 12m
∴ The radius of the sphere = 12 ÷ 2 = 6m
∵ The surface area of the sphere = 4πr²
∴ The surface area = 4 × π × 6² = 144π m²
∵ The volume of the sphere = 4/3 πr³
∴ The volume = = 288π m³
We know that the price of all the fabrics is the same. However, the length of the fabrics is different. We have to determine which fabric is the longest.
Option A: = 8.6
Option B: = 8.25
Option C: = 8.6667
Option D: = 7.33....
Hence, the longest fabric is the one given in option C, and its length is 8.6667