The frequency of the vibrations of a piano string varies directly as the square root of the tension on the string and inversely as the length of the string. The middle A string has a frequency of 430 vibrations per second. Find the frequency of a string that has 1.25 times as much tension and is 1.4 times as long.
a. 373.4 vibrations / sec
b. 343.4 vibrations / sec
c. 353.4 vibrations / sec
d. 363.4 vibrations / sec
b. 343.4 vibrations / sec
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Determine whether the specified paradox occurs.A town has 13 police officers to be apportioned among 3 precincts based on the population of each precinct. The populations for the years 1998 and 1999 are given in the following table. Does the population paradox occur using Hamilton's method of apportionment?
A. Yes B. No
Determine the quadratic function whose graph is given.
A. f(x) = -x2 - 4x - 5 B. f(x) = x2 - 4x + 5 C. f(x) = x2 - 4x - 5 D. f(x) = x2 + 4x - 5
Is the given number z in the Julia set?z = -0.25 - 0i
A. Yes B. No
Solve the following system by any appropriate method. If there is no real number solution, so state.xy = 18x - y = 7
A. (8, -8), (-1, 1)
B. (- , -8), (1, 1)
C. (-8, - ), (1, 1)
D. no real solution