Solve the problem.A satellite dish is shaped like a parabola. The signals that are received by the dish strike the surface of the dish and are reflected to a single point, where the receiver of the dish is located. If the dish is 12 feet across at its opening and 4.5 feet deep at its center, at what position should the receiver be placed?
A. 9 feet from the base along the axis of symmetry
B. 0.2 feet from the base along the axis of symmetry
C. 18 feet from the base along the axis of symmetry
D. 2 feet from the base along the axis of symmetry
Answer: D
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Find an expression for the nth term of the arithmetic sequence.e, e + 7, e + 14, e + 21, e + 28, . . .
A. an = 7n + e B. an = 7n + e - 7 C. an = 7n + e D. an = ne + 7
Use a cubic or quartic regression (as specified) to fit a curve through the points given in the table. Round to the nearest hundredth.
(Quartic)
A. y = -0.05x4 + 0.12x3 - 0.24x2 - 0.80x + 5.77 B. y = -0.05x4 + 0.18x3 + 0.25x2 + 0.80x + 5.77 C. y = -0.05x4 + 0.12x3 + 0.24x2 + 0.80x + 5.75 D. y = 0.05x4 - 0.18x3 + 0.25x2 + 0.80x + 5.77
Simplify the expression. Assume that all variables are positive when they appear.
A. 4x6y8 B. 16x6y8 C. -4x9y12 D. -4x6y8
Solve the problem.The temperature at a science station was -38° at 8 am. At 3 pm, it was 30°. By how many degrees did the temperature rise?
A. by 68° B. by -68° C. by 8° D. by -8°