Solve the problem.Robert has built a mechanical model solar system with three balls representing planets at the ends of rods attached to the center representing the sun. The planets are aligned when he turns on the motor. The innermost planet makes a revolution in 18 seconds, the middle planet makes a revolution in 30 seconds, and the outermost planet makes a revolution in 42 seconds. After how many seconds will the planets be aligned again?
A. 315 seconds
B. 1260 seconds
C. 945 seconds
D. 630 seconds
Answer: D
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Solve the initial value problem.
= cos t - sin t, s
= 10
A. s = sin t - cos t + 9 B. s = 2sin t + 8 C. s = sin t + cos t + 9 D. s = sin t + cos t + 11
Provide an appropriate response. Give the signs of the sine, cosine, and tangent trigonometric functions of the vector with the endpoint (-4, 4)
A. sine, positive; cosine, negative; tangent, negative B. sine, positive; cosine, negative; tangent, positive C. sine, positive; cosine, positive; tangent, positive D. sine, negative; cosine, negative; tangent, negative
Factor the polynomial.10x7 + 18x5 - 16x3
A. 2x3(5x4 + 9x2 - 8) B. 2x(5x4 + 9x2 - 8) C. x3(10x4 + 18x2 - 16) D. 2(5x7 + 9x5 - 8x3)
Find the slope of the line containing the two points.(-5, -3) and (-5, -2)
A. 0 B. - 1 C. 1 D. undefined