Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.
logax + 3 loga y - 2 loga x
A. loga x4 y3
B. loga x2 y3
C. loga 
y3
D. loga
Answer: D
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Solve the problem.The area of a rectangular rug is 200 square feet and its perimeter is 60 feet. Find the dimensions of the rug.
A. 11 yd by 19 yd B. 11 yd by 20 yd C. 10 yd by 19 yd D. 10 yd by 20 yd
Determine whether the Fourier series of the given function will include only sine terms, only cosine terms, or both sine terms and cosine terms.f(x) = 7 - 8x + x2 -8 ? x < 8
A. both sine and cosine terms B. only cosine terms C. only sine terms
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.4(a + b)
A. 4ab B. 8ab C. 4a + 4b D. 4a + b
A child has an enormous jar in which she has been saving all of her spare change. In order to determine exactly how much money she has in the jar, she dumps all of the coins on the floor and counts them. Under the watchful eye of her mother, she counts 180 pennies, 120 nickels, 100 dimes, and 80 quarters.The data collection method used in this example is called
A. a census. B. a controlled study. C. a survey. D. random sampling. E. none of these