Solve the problem.An explosion causes debris to rise vertically with an initial velocity of 7 feet per second. The function  describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What is the instantaneous velocity of the debris when it hits the ground?

A. 112 feet per second
B. -224 feet per second
C. -112 feet per second
D. 224 feet per second


Answer: C

Mathematics

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Determine when the Hamilton method gives an Alabama paradox on increasing committee size and who loses a seat.An apartment complex has three buildings. Building A has 120 units, building B has 141 units, and building C has 39 units. A 9-person committee will set rules to govern the complex. This committee is proportioned to the numbers of units in the buildings. Increase the members in the committee one at a time and reassign the seats.

A. Assignment of the 12th seat; building B B. Assignment of the 13th seat; building C C. Assignment of the 11th seat; building B D. Assignment of the 12th seat; building C

Mathematics

Solve the problem. Round your answer, if appropriate.The volume of a sphere is increasing at a rate of 5 cm3/sec. Find the rate of change of its surface area when its volume is  cm3. (Do not round your answer.)

A.  cm2/sec
B.  cm2/sec
C.  cm2/sec
D. 10? cm2/sec

Mathematics

Factor.81x2 + 90xy + 25y2

A. (81x + 1)(x + 25) B. (9x + 5y)(9x - 5y) C. (9x + 5y)2 D. (9x - 5y)2

Mathematics

Divide. Write the answer in lowest terms and as a whole or mixed number where possible. ÷ 8

A.
B.
C. 14
D.

Mathematics