Solve the problem.A square sheet of paper measures 50 centimeters on each side. What is the length of the diagonal of this paper?

A. 50 cm
B. 5000 cm
C. 100 cm
D. 50 cm


Answer: D

Mathematics

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Solve the problem.A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 90 in. Suppose you want to mail a box with square sides so that its dimensions are  and it's girth is  What dimensions will give the box its largest volume?

A. 30 in. × 15 in. × 30 in. B. 20 in. × 20 in. × 15 in. C. 15 in. × 15 in. × 75 in. D. 15 in. × 15 in. × 30 in.

Mathematics

Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = -2x2, [0, 4], midpoint

A.

B.

C.

D.

Mathematics

Find the intervals on which the function is continuous.y = 

A. [-]
B. (-?, ?)
C. (-?, -], [, ?)
D. [, ?)

Mathematics

Perform the indicated operation

Mathematics