Solve the problem.In a certain lottery, 5 different numbers between 1 and 11 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

A. 120
B. 161,051
C. 55,440
D. 462


Answer: D

Mathematics

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Solve the problem.Use the formula D = 10.0 log (S/S0), where the loudness of a sound in decibels is determined by S, the number of watt/m2 produced by the soundwave, and S0 = 1.00 × 10-12 watt/m2. What is the intensity in watt/m2 of a noise measured at 84 decibels? (Round to an appropriate number of significant digits.)

A. 8.4 × 10-10 watt/m2 B. 2.5 × 10-3 watt/m2 C. 2.5 × 10-4 watt/m2 D. 4.4 × 1015 watt/m2

Mathematics

Find the circumference and area of a circle having the given diameter or radius. Use 3.14 for ?. Round your results to the nearest tenth.d = 40 cm

A. 62.8 cm; 5024 cm2  B. 125.6 cm; 125.6 cm2  C. 62.8 cm; 251.2 cm2 D. 125.6 cm; 1256 cm2 

Mathematics

Use a graphing calculator to find the location of all relative extrema (to three decimal places).f(x) = x5 - 15x4 - 3x3 - 172x2 + 135x + 0.051

A. Relative maximum at x = 0.305; relative minimum at x = -12.613 B. Relative maximum at x = 0.379; relative minima at x = -0.472 and x = 12.565 C. Relative maximum at x= 0.379; relative minimum at x = 12.565 D. Relative maximum at x = 0.423; relative minima at x = -0.436and x = -12.642

Mathematics

Factor the binomial completely.162s3 + 6

A. 6(3s + 6)(9s2 - 18s + 6) B. 6(3s + 1)(9s2 - 3s + 1) C. 6(3s - 1)(9s2 + 3s + 1) D. 6(3s + 1)(9s2 + 3s + 1)

Mathematics