Evaluate the exponential form. -63

A. -36
B. 216
C. 1296
D. -216


Answer: D

Mathematics

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Solve the problem.The following table shows the rate of water flow (in gal/min) from a stream into a pond during a 30-minute period after a thunderstorm. Use the Trapezoidal Rule to estimate the total amount of water flowing into the pond during this period. Round your answer to the nearest gallon.

A. 8,483 gal B. 8,475 gal C. 9,600 gal D. 7,717 gal

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The graph of the derivative function f' is given. Find the critical numbers of the function f.

A. -2, 2 B. 0 C. 0, 2 D. 2

Mathematics

Write the two equations in slope-intercept form and then determine how many solutions the system has. 4x - 5y = 216x - 20y = 8

A. None B. One C. Infinite number

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