Simplify the expression. Write the answer with only positive exponents. Assume that all variables represent positive real numbers.

A. -4b27/4
B.
C. -4b25/4
D.


Answer: C

Mathematics

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Use a calculator to find the value of the trigonometric expression to four decimal places.sin 78°

A. 0.9511 B. 0.2079 C. 0.7431 D. 0.9781

Mathematics

Describe the given distribution with a circle graph.A questionnaire was sent to customers asking about their music preferences. The customers were asked to pick the type of music they preferred from the categories rock, classical, gospel, country & western, and jazz. The results are shown in the table. Make a circle graph based on the data in the table.

What will be an ideal response?

Mathematics

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree).B = 41.9°, b = 143 cm, c = 281 cm 

A. C = 43.0°, A = 95.1°, a = 120 cm B. C = 43.0°, A = 95.1°, a = 124 cm C. C = 43.0°, A = 95.1°, a = 116 cm D. C = 95.1°, A = 43.0°, a = 120 cm E. No solution.

Mathematics

Sketch a graph of a function f that has the given properties.(a) f(2) = 3(b) f''(x) > 0 for x > 4(c) f''(x) < 0 for x < 4

What will be an ideal response?

Mathematics