Factor the special products, which are the sum or difference of two perfect cubes.125x6 + 64y12
A. (5x2 - 4y4)( 5x2 + 4y4)
B. (5x2 - 4y4)(25x2 + 20x2y4 + 16y8b2)
C. (5x2 + 4y4)(25x4 - 20x2y4 + 16y8)
D. (5x2 + 4y4)(25x4 + 20x2y4 + 16y8)
Answer: C
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Find the logarithm using the change-of-base formula. Round to the nearest ten-thousandth.log5 22.93
A. 1.9463 B. 1.3604 C. 4.5860 D. 0.5138
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.5 log x + 2 log y
A. 7 log(xy) B. log(xy)7 C. 10 log(xy) D. log(x5y2)
Solve the problem.The length a spring is stretched from its natural length with work, W is given by L =
where k is a constant for the given spring. If a certain spring has a constant of 61.8, and the spring is to be stretched 1.9 feet from its natural length, how much work will be necessary? Round your answer to the nearest tenth.
A. 223.1 foot-pounds B. 58.7 foot-pounds C. 111.5 foot-pounds D. 42.6 foot-pounds
Determine whether the pair of lines is parallel, perpendicular, or neither.y = - x + 1y =
x + 1
A. Parallel B. Perpendicular C. Neither