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).


9 days

Mathematics

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Evaluate the integral by changing the order of integration in an appropriate way.

A. 4
B. 2
C. 4
D. 2

Mathematics

Solve the equation. = 5

A. {-25} B. {10} C. {25} D. {5}

Mathematics

Find the open intervals on which the function is increasing and decreasing. Identify the function's local and absolute extreme values, if any, saying where they occur.

A. increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 6); local maximum at (0, 2); absolute minimum at (-2, 0) and (2, 0) B. increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 6) and(0,2); absolute minimum at (-2, 0) and (2, 0) C. increasing on (2, 4); decreasing on (0, 2); absolute maximum at (4, 6); local maximum at (0, 2); absolute minimum at (-2, 0) and (2, 0) D. increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 6); absolute minimum at (-2, 0) and (2, 0)

Mathematics

Use the quotient rule to simplify the expression.

A. s9t10 B. s5t8 C. s5t9 D. s5t7

Mathematics