Solve the problem.The time T in seconds for a pendulum of length L feet to make one swing is given by T = 2?. How long is a pendulum (to nearest hundredth) if it makes one swing in 1.3 seconds? Use 3.14 for ?.

A. 1.59 ft
B. 62.53 ft
C. 15.63 ft
D. 9.96 ft


Answer: A

Mathematics

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Solve the problem.The water from a valve at the bottom of a water tank follows a path described by  where units are in meters. If the velocity vx is constant at  find the magnitude and direction of the velocity at the point (3.0, 2.1).

A. 5.8 m/s, 329° B. 5.0 m/s, 31° C. 5.0 m/s, 353° D. 5.8 m/s, 31°

Mathematics

Solve the problem.In one study, a type of fish was exposed to a toxin. The table lists toxin concentrations in the fish after a certain number of hours. The concentration C of the toxin in the fishes' bloodstream was measured in micrograms of toxin per gram of fish after x hours of exposure.  (i) Describe the relationship between x and C; (ii) Use regression to find a cubic polynomial function f(x) that models the data; (iii) graph C and the data; (iv) Concentrations above 30 are lethal to the fish. Determine how many hours of exposure it takes for this to occur.

A. (i) As x increases, C increases; 
(ii) f(x) ? 0.38x3 - 4.35x2 + 22.97x - 33.40
(iii)
 
(iv) x ? 6.0 (approximately)
B. (i) As x increases, C increases; 
(ii) f(x) ? 0.38x3 - 5.35x2 + 24.97x - 33.40
(iii)
 
(iv) x ? 9.1 (approximately)
C. (i) As x increases, C increases; 
(ii) f(x) ? 0.28x3 - 5.35x2 + 22.97x - 33.40
(iii)
 
(iv) x ? 6.2 (approximately)
D. (i) As x increases, C increases; 
(ii) f(x) ? 0.28x3 - 4.35x2 + 24.97x - 33.40
(iii)
 
(iv) x ? 7.9 (approximately)

Mathematics

Find the LCD for the given rational expressions.

A. x(x + 5)2 B. (x + 5)2 C. x(x + 5)(x + 1) D. x(x + 6)(x + 1)

Mathematics

Write each whole number in standard form.Last year the population of a city increased by two thousand, one hundred eight.

A. 21,008 B. 2018 C. 2180 D. 2108

Mathematics