Find the triple scalar product (u x v) ? w of the given vectors.u = 4i + 2j - j; v = 3i + 4j - 8k; w = 10i + 5j - 8k

A. 169
B. -73
C. -135
D. -55


Answer: D

Mathematics

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Find all complex roots. Write the answer in polar form, with 0 ? ? ? 360°.Cube roots of 3 - 3i

A. (cos 100° + i sin 100°), (cos 220° + i sin 220°), (cos 340° + i sin 340°)
B. (cos 60° + i sin 60°), (cos 180° + i sin 180°), (cos 300° + i sin 300°)
C. (cos 100° + i sin 100°), (cos 220° + i sin 220°), (cos 340° + i sin 340°)
D. (cos 80° + i sin 80°), (cos 200° + i sin 200°), (cos 320° + i sin 320°)

Mathematics

Solve the problem.Experience shows that a ski lodge will be full (177 guests) if there is a heavy snow fall in December, while only partially full (80 guests) with a light snow fall. What is the expected number of guests if the probability of a heavy snow fall is .40?

A. 138.2 B. 106.2 C. 70.8 D. 118.8

Mathematics

Divide and simplify. ÷ 

A.
B.
C.
D.

Mathematics

Solve the problem.For what numbers x, 0 ? x ? 2?, does cos x = 0?

A.
B. 0, ?, 2?
C. 0, 1, 2
D. 0, 1

Mathematics