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.
(log4 (r - 4) - log4 r)
A. log4
B. log4
C. log4
D. log4
Answer: C
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Find the slope and the y-intercept of the line.y - 4x + 3 = 0
A. slope: 4; y-intercept (0, -3)
B. slope: -3; y-intercept:
C. slope: 4; y-intercept: (0, 3)
D. slope: 3; y-intercept:
Provide an appropriate response.Suppose the velocity of a body moving along the s-axis is = 9.8t - 5.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. No, displacement has nothing to do with the position of the body. B. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement. C. Yes, integration is not possible without knowing the initial position. D. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out.
Let p represent "I eat too much," let q represent "I exercise," and let r represent "the food is good." Write the compound statement in symbols.If the food is good or I eat too much, then I exercise.
A. (r ? p) ? q B. (r ? p) ? q C. r ? (p ? q) D. r ? p ? q
Use an ordered pair to identify each point on the given coordinate plane. State the quadrant or axis where each point lies.
A. A(6, 2) in Quadrant I; B (3, 2) in Quadrant I B. A(6, 3) in Quadrant I; B(-2, 2) in Quadrant II C. A(3, 28) in Quadrant I; B(2, -2) in Quadrant IV D. A(6, 3) in Quadrant I; B(2, -2) in Quadrant IV