Find the sum of the infinite geometric series.16 + 8 + 4 + 2 + . . .

A. 16
B. - 16
C. 28
D. 32


Answer: D

Mathematics

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Solve.Expand  in a half-range sine series for 

A.  sin  -  sin  +  sin  + . . .
B. (?2 - 4) sin  -  sin  + (9?2 - 4) sin  + . . .
C. (?2 - 4) sin  -  sin  + (9?2 - 4) sin  + . . .
D. 128(?2 - 4) sin  - 64 sin  + (9?2 - 4) sin  + . . .

Mathematics

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

Mathematics

Solve the problem.Bob, the incredible shrinking man, loses half of his height each day after he was exposed to a mysterious form of cosmic radiation. How many days before he is literally "knee-high to a grasshopper"? Assume that a grasshopper's knee is 4 millimeters high and that Bob is 2 meters tall. Round your answer to the nearest whole day. (1000 millimeters = 1 meter)

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the volume of the solid generated by revolving the shaded region about the given axis.About the y-axis

A. ?
B. ?
C. ?
D. ?

Mathematics