Simplify the expression. Assume that variables represent nonzero numbers.(w3z)3(w5z4)

A. w45z12
B. w14z7
C. w11z7
D. w8z7


Answer: B

Mathematics

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Find the probability.A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. What is the probability that you have at least 1 lemon candy? Round to the nearest ten-thousandth.

A. 0.3362 B. 0.5758 C. 0.1515 D. 0.4909

Mathematics

Solve the problem.Shown is the image of a figure under the two successive translations that take P to P' and then P' to P''. Find the original figure. Note again, the given figure is the image after translation. Hint: First find the final image of a point if it were translated by both translations. Then what happens in the reverse process?

A.

B.

C.

D.

Mathematics

Provide an appropriate response.Logarithms simplify calculations by changing multiplication to ___.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Write the equation of the graph in its final position.The graph of y = ln(x) is translated 6 units to the right, reflected in the x-axis, and then translated 5 units downward.

A. y = -ln(x - 6) - 5 B. y = ln(x + 6) + 5 C. y = ln(x - 6) + 5 D. y = ln(-x + 5) - 5

Mathematics