Solve the problem.A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 128 ft/sec, and the gorge is 192 ft deep, during what interval can the flare be seen? (h = -16t2 + vot + ho.)
A. 6 < t < 10
B. 4 < t < 8
C. 0 < t < 2
D. 2 < t < 6
Answer: D
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Solve the problem.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table. Find the apportionment for state D using Webster's method.
A. 23 B. 25 C. 26 D. 24
Solve the problem by integration.The force F (in N) applied by a stamping machine in making a certain computer part is where x is the distance (in cm) through which the force acts. Find the work done by the force from
to
A. 16.2515 N? cm B. 0.0313 N? cm C. 0.1126 N? cm D. 0.0052 N? cm
Solve the problem.During a five-year period, a company doubles its profits each year. If the profits at the end of the fifth year are $160,000, then what are the profits for each of the first four years?
A. $10,000, $20,000, $30,000, $40,000 B. $10,000, $20,000, $40,000, $100,000 C. $10,000, $20,000, $40,000, $80,000 D. $11,000, $22,000, $44,000, $86,000
Factor by grouping.6x - 60 + xy - 10y
A. (y - 10)(x + 6) B. (x - 10)(6 + y) C. (x - 10y)(6 + y) D. (y - 10)(6x + y)