Solve the problem. Express your answer in scientific notation, and round to one decimal place. The speed of light is 1.86 × 105 miles/second. How far can light travel in one year? Round to one decimal place.

A. 5.9 × 10-12 miles
B. 5.9 × 1012 miles
C. 5.9 × 1010 miles
D. 5.9 × 1013 miles


Answer: B

Mathematics

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Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ? L(x, y) at the given point over the given region R. at (1, 1, 1); R: |x - 1| ? 0.1, |y - 1| ? 0.1, |z - 1| ? 0.1

A. |E| ? 0.0154 B. |E| ? 0.0173 C. |E| ? 0.0231 D. |E| ? 0.0185

Mathematics

Find the inverse of the function and state its domain and range .{(-3, 4), (-1, 5), (0, 2), (2, 6), (5, 7)}

A. {(3, 4), (1, 5), (0, 2), (-2, 6), (-5, 7)}; D = {3, 1, 0, -2, -5}; R = {2, 4, 5, 6, 7} B. {(-3, -4), (-1, -5), (0, -2), (2, -6), (5, -7)}; D = {-3, -1, 0, 2, 5}; R = {-7, -6, -5, -4, -2} C. {(4, -3), (5, -1), (2, 0), (6, 2), (7, 5)} D = {2, 4, 5, 6, 7}; R = {-3, -1, 0, 2, 5} D. {(3, -4), (1, -5), (0, -2), (-2, -6), (-5, -7)}; D = {3, 1, 0, -2, -5}; R = {-7, -6, -5, -4, -2}

Mathematics

Provide an appropriate response.Write the relation as a map. Then identify the domain and the range of the relation. {(4, 16), (7, 28), (10, 40), (13, 52)}

A.

domain:{16, 28, 40, 52}
range: {4, 7, 10, 13}
B.

domain: {4, 7, 10, 13}
range: {16, 28, 40, 52}
C.

domain: {4, 7, 10, 13}
range: {16, 28, 40, 52}
D.

domain:{16, 28, 40, 52}
range: {4, 7, 10, 13}

Mathematics

Use the fundamental counting principle to count the number of outcomes. How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members? Assume that no member can hold more than one office.

A. 36 B. 126 C. 24 D. 3024

Mathematics