Rewrite the logarithm log4 17 in terms of the natural logarithm.

A.
B.
C.
D. ln 17
E. ln 4 ln 17


Answer: C

Mathematics

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Use an identity to write the expression as a single trigonometric function or as a single number.sin 22.5° cos 22.5°

A.
B.
C.
D.

Mathematics

Solve the absolute value equation.= |2x + 5|

A. x = - 
B. x = 
C. x = - , - 
D. no solution

Mathematics

Find the foci and endpoints of each axis for the given ellipse.4x2  + 16y2 = 64

A. Foci: (± 4, 0); vertices: (±2, 0);
endpoints of the minor axis: (± 2, 0)
B. Foci: (0, ±2); vertices: (0 , ± 4);
endpoints of the minor axis: (± 2, 0)
C. Foci: (± 12, 0); vertices: (± 16, 0);
endpoints of the minor axis: (0, ± 4)
D. Foci: (±2, 0); vertices: (± 4, 0);
endpoints of the minor axis: (0, ± 2)

Mathematics

Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?

A. 0.35 B. 0.559 C. 0.224 D. 0.217

Mathematics