What is the sum of the sequence 46+47+48+49+...+115
2 answers:
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Answer:
A
Step-by-step explanation:
The volume of a rectangular prism is:
Since the prism has a square base, each side length being 2, this means that both the length and width of our prism is 2. Therefore:
So, we can write:
The height h increases at a rate of about 8 inches or 8/12 = 2/3 feet per minute.
So, after t minutes, the height will be 2/3(t) feet. Thus, we can substitute:
We want to find after how long it will be until the volume is 64 cubic feet. So, V = 64:
Solve for t:
The correct answer is A.