Solve the problem. Round to one decimal place if needed.The zoo has hired a landscape architect to design the triangular lobby of the children's petting zoo. In his scale drawing, the longest side of the lobby is 14 centimeters. The shortest side of the lobby is 2 centimeters. The longest side of the actual lobby will be 40 meters. How long will the shortest side of the actual lobby be?

A. 2.8 m
B. 280 m
C. 0.1 m
D. 5.7 m


Answer: D

Mathematics

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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 5, u '(1) = -5, v(1) = 6, v '(1) = -3. (uv) at x = 1

A. 15 B. -43 C. 45 D. -45

Mathematics

Determine if the given function y is a solution of the differential equation that follows it. Assume that C is an arbitrary constant.y = C1e-x - C2ex; y''(x) - y = 0

A. No B. Yes

Mathematics

Solve.e0.03t + 1 = 6(Round your answer to three decimal places).

A. 59.725 B. 53.648 C. 1.609 D. 0.048

Mathematics

Solve the problem.According to the 2000 U. S. Census, 6.753% of the U.S. population lived in the state of New York. Rounded to two decimal places, what was New York's standard quota in 2000? (Use the fact that the House of Representatives has 435 seats.)

A. 6441.58 B. 29.38 C. 2937.55 D. 293.76 E. none of these

Mathematics