Solve the problem.A pendulum bob swings through an arc 40 centimeters long on its first swing. For each swing thereafter, it swings only 95% as far as on the previous swing. How far will it swing altogether before coming to a complete stop?

A.  cm
B.  cm
C.  cm
D. 800 cm


Answer: D

Mathematics

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Evaluate the integral by first transforming it into integrable form with an appropriate algebraic substitution. dx

A. (x - 2)11/4 + (x - 2)7/4 + C
B. (x - 2)7/4 + (x - 2)3/4 + C
C. 4(x - 2)11/4 + 8(x - 2)7/4 + C
D. (x - 2)2 + 2(x - 2) + C

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Find the value(s) of the variable for which the rational expression is undefined.

A. -7 B. 0 C. none D. 17

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Determine the validity of the argument.Not all cars are considered sporty.Not all cars are safe at high speeds.Therefore sports cars are safe at high speeds.

A. Not valid B. Valid

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Write the expression in the form a + bi.

A.  - i
B.  - i
C.  - i
D.  - i

Mathematics