Solve the problem.Cal is packing his suitcase to go on a trip. He wants to pack 4 pairs of pants chosen from the 6 pairs of pants in his closet and 3 shirts chosen from the 10 shirts in his closet. In how many ways can this be done?
A. 1800
B. 43,200
C. 10,800
D. 259,200
Answer: A
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Write the complex number in trigonometric form r(cos ? + i sin ?), with ? in the interval [0°, 360°).-2
A. 2(cos 90° + i sin 90°) B. 2(cos 0° + i sin 0°) C. 2(cos 270° + i sin 270°) D. 2(cos 180° + i sin 180°)
Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent positive real numbers.
A.
B.
C. x17/3
D. x13/3
Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = 2x2 + 8x + 6
A. Increasing on (-2, ?); decreasing on (-?, -2) B. Increasing on (2, ?); decreasing on (-?, 2) C. Increasing on (-4, ?); decreasing on (-?, -4) D. Increasing on (8, ?); decreasing on (-?, 8)
Solve the problem.A spotlight has a parabolic cross section that is 6 ft wide at the opening and 2.5 ft deep at the vertex. How far from the vertex is the focus? Round answer to two decimal places.
A. 0.52 ft B. 0.21 ft C. 0.26 ft D. 0.90 ft