Solve the problem.A ship sailing parallel to shore sights a lighthouse at an angle of 12° from its direction of travel. After traveling 4 miles farther, the angle is 22°. At that time, how far is the ship from the lighthouse?
A. 4 mi
B. 2.22 mi
C. 4.79 mi
D. 8.63 mi
Answer: C
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Find the indicated probability. Round your answer to 6 decimal places when necessary.In January in a certain city the unconditional probability of rain on any given day of the month is 0.400. But the probability of rain on a day that follows a rainy day is 0.600 and the probability of rain on a day following a nonrainy day is 0.250. Find the probability of rain on three randomly selected consecutive days in January.
A. 0.064 B. 0.216 C. 0.090 D. 0.144
Factor completely. If the polynomial is prime, so state.64x2 - 48x + 9
A. (64x + 1)(x + 9) B. (8x - 3)2 C. (8x + 3)2 D. (8x - 3)(8x + 3)
Find the first four nonzero terms in the Maclaurin series for the function.e4x
A. 1 + 4x + +
+ . . .
B. x + 4x + +
+ . . .
C. 1 + 4x + +
+ . . .
D. 4x + 64x3 + 1024x5 + 16,384x7 + . . .
Find the domain of the given function.f(x) =
A. (-?, ]
B. (-?, ?)
C. (-?, 2]
D. [, ?)