Solve the problem.If an object is thrown straight upward from the ground with an initial speed of 112 feet per second, then its height, h, in feet after t seconds is given by the equation h(t) = -16t2 + 112t. Find the instantaneous speed of the object at t = 6.

A. 112 ft/sec
B. -80 ft/sec
C. 16 ft/sec
D. -464 ft/sec


Answer: B

Mathematics

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Simplify the expression by combining like terms.5m2 + 11 + 11m - 14m2 + 11m

A. 9m2 - 22+ 11
B. 9m2 + 22+ 11
C. m2 + 22+ 11
D. m2 - 22- 11

Mathematics

Solve the problem.The table below gives the violent crime rate (per 100,000 people) for a particular state every five years from 1970 to 2010. Use technology to find the cubic function that is the best fit for this data, where x is the number of years after 1970. Use the model to estimate the violent crime rate for the year 2014.

A. 11 B. 11.8 C. 11.6 D. 11.4

Mathematics

Solve the problem.A rectangular enclosure must have an area of at least 4200 yd2. If 260 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

A. 65 ? w ? 70 (yards) B. 60 ? w ? 65 (yards) C. 0 ? w ? 60 (yards) D. 60 ? w ? 70 (yards)

Mathematics

Prepare a payoff matrix.A farmer must decide on which of two pieces of land to grow his crops. The first piece of land has better soil and will yield a larger harvest. However this piece of land is low lying and is coastal and his crops will be destroyed in the event of a storm and flooding. The second piece of land has poorer soil but is at a higher elevation and would not be affected by flooding. If he uses the low-lying piece of land and there is no flooding he will make a profit of $16,000. If he uses the low-lying piece of land and there is flooding, he will lose $6000. If he uses the higher piece of land and there is no flooding, he will make a profit of $10,000. If he uses the higher piece of land and there is flooding, he will make a profit of $13,000. (If there is flooding

there will be a smaller supply of the crop and his profit will be higher). Prepare a payoff matrix.

A.

FloodingNo flooding

B.
FloodingNo flooding

C.
FloodingNo flooding

Mathematics