Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log2
A. 8 log2x + 7 log2y + log25
B. (8 log2x)(7 log2y) - log25
C. 8 log2x - 7 log2y - log25
D. 8 log2x + 7 log2y - log25
Answer: D
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Find the indicated vector.Let u = , v =
. Find
u -
v.
A.
B.
C.
D.
Solve the problem.At noon, ship A was 15 nautical miles due north of ship B. Ship A was sailing south at 15 knots (nautical miles per hour; a nautical mile is 2000 yards) and continued to do so all day. Ship B was sailing east at 5 knots and continued to do so all day. The visibility was 5 nautical miles. Did the ships ever sight each other?
A. No. The closest they ever got to each other was 5.7 nautical miles. B. No. The closest they ever got to each other was 4.7 nautical miles. C. Yes. They were within 3 nautical miles of each other. D. Yes. They were within 4 nautical miles of each other.
Evaluate the integral.
A. 144 B. 45 C. -45 D. 54
Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex fifth roots of -2i
A. (cos 54° + i sin 54°),
(cos 126° + i sin 126°),
(cos 198° + i sin 198°),
(cos 270° + i sin 270°),
B. 32(cos 54° + i sin 54°), 32(cos 126° + i sin 126°), 32(cos 198° + i sin 198°), 32(cos 270° + i sin 270°),
C. (cos 54° + i sin 54°),
(cos 126° + i sin 126°),
(cos 198° + i sin 198°),
(cos 270° + i sin 270°),
D. (cos 45° + i sin 45°),
(cos 117° + i sin 117°),
(cos 189° + i sin 189°),
(cos 261° + i sin 261°),