Provide an appropriate response.The region bounded by the lines x = 2, x = 6, y = -2, and y = 1 is revolved about the y-axis to form a solid. Explain how you could use elementary geometry formulas to verify the volume of this solid.
What will be an ideal response?
The resulting solid is a cylindrical shell whose volume is given by 
where r1 is the outer radius, r2 is the inner radius, and h is the height. Since r1 = 6, r2 = 2 and h = 3, V = ?(62 - 22)3 = 96?.
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Use the formula for an to find the general term for the arithmetic sequence.5, 0, -5, . . .
A. an = 10n - 5 B. an = -5n + 10 C. an = n - 5 D. an = 5n - 5
Provide an appropriate response.Choose the example that correctly shows that the stated case can occur. The product of two irrational numbers may be an irrational number.
A. 
? 
= 65
B. 
? 
= 13
C. 
? 
= 
D. 
? 
= 5
Find the apportionment asked for.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table. 
Find the apportionment for state D using Hamilton's method.
A. 26 B. 24 C. 25 D. 23
Match the equation to its graph.y = 2x - 5
A. 
B. 
C. 
D. 