Solve the problem.The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 19-kg object stretches a spring 10 cm, find the distance when the weight is 29-kg.

A. 15.26 cm
B. 58 cm
C. 55.1 cm
D. 0.53 cm


Answer: A

Mathematics

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For what values of x does the series converge absolutely?

A. x > 
B. -  < x < 
C. 0 < x < 
D. None

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For the given rectangular equation, write an equivalent polar equation.x2 + y2 = 49

A. r = 7 B. r = 7 cos ? C. r = 49 D. r = 7 sin ?

Mathematics

Solve the problem.The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D = 8100(5)x, where x is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x = 0 and x = 3.

A. 8100; 121,500 B. 8100; 1,012,500 C. 8100; 25,312,500 D. 40,500; 1,012,500

Mathematics

A fixed point of f is a value of x that satisfies the equation f(x) = x; it corresponds to a point at which the graph of f intersects the line y = x. Find all the fixed points of the function. Use preliminary analysis and graphing to determine good initial approximations. Round approximations to six decimal places.f(x) = x2 - 3

A. x ? -1.302776, 2.302776 B. x ? -0.802776, 1.802776 C. x ? -2.302776, 3.302776 D. x ? -1.802776, 1.802776

Mathematics