Solve.The weight of an object on the Earth's surface is inversely proportional to the square of its distance from the center of the Earth. An object weighs 900 pounds on the Earth's surface. This is approximately 4000 miles from the center of the Earth. How much would this object weigh 4600 miles from the center of the Earth? (Round to the nearest tenth of a pound.)
A. 839.3 pounds
B. 782.6 pounds
C. 680.5 pounds
D. 1190.3 pounds
Answer: C
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Solve the problem.A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the width of the pool. Estimate the volume of water in the pool using the Parabolic Rule.
A. 7700 ft3 B. 10,200 ft3 C. 5800 ft3 D. 8700 ft3
Use Euler's method with the specified step size to estimate the value of the solution at the given point x*. Find the value of the exact solution at x*.y' = y - e-1x, y(0) = 2, dx = 1/3, x* = 2
A. Euler's method gives y ? 9.2983; the exact solution is 12.9315 B. Euler's method gives y ? 8.2740; the exact solution is 11.1513 C. Euler's method gives y ? 8.9605; the exact solution is 12.3212 D. Euler's method gives y ? 9.4866; the exact solution is 13.3004
Solve. Express the answer in scientific notation to two decimals unless requested otherwise.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how many would it contain? Round to one decimal place.
A. 5.0 × 10-31 bacteria B. 2.0 × 10-30 bacteria C. 2.0 × 1030 bacteria D. 5.0 × 1031 bacteria
Rewrite the following number using digits.Thirty-two thousand, nine hundred five
A. 32,905 B. 32,950 C. 3295 D. 320,905