Solve the problem.A rectangular city park has a jogging loop that goes along a length, width, and diagonal of the park. To the nearest yard, find the length of the jogging loop, if the length of the park is 125 yards and its width is 75 yards.

A. 146 yards
B. 345 yards
C. 145 yards
D. 346 yards


Answer: D

Mathematics

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Solve the problem.According to a country's census, the population (to the nearest million) was 264 in Year 0 and 288 in Year 10. The projected population for Year 50 is 434. To construct a logistic model, both the growth and carrying capacity must be estimated. (a) Estimate r by assuming that t = 0 corresponds to Year 0 and that the population between Year 0 and Year 10 is exponential; that is, the population is given by  Round the value of r to four decimal places, if necessary.(b) Write the solution to the logistic equation using the estimated value of r and use the projected value P(50) = 434 million to find an estimation for the value of the carrying capacity K. Round to

the nearest million. A. (a) r = -1.0087 (b) K = 254 million B. (a) r = 0.0087 (b) K = -2390 million C. (a) r = 1.0087 (b) K = -2290 million D. (a) r = -0.0087 (b) K = 154 million

Mathematics

Find a solution for the equation. Assume that all angles are acute angles.sec(? + 12°) = csc(2? + 15°)

A. 15° B. 23.5° C. 19° D. 21°

Mathematics

Solve.Use the following graph to solve -x2 - 3x + 10 = 0.y = -x2 - 3x + 10

A. 10 B. -10 C. -2, 5 D. 2, -5

Mathematics

Use the vertical line test to determine whether the graph is a function.

A. Not a function B. Function

Mathematics