Use properties of logarithms to write the expression in terms of logarithms of x, y, z.logb

A. x8z4 - y6b2
B. 8 logbx + 4 logbz - 6 logby + 2
C. 8 logbx + 4 logbz - 6 logby - 2
D. logbx8 + logbz4 + logby6 - logbb2


Answer: C

Mathematics

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Graph. Label any intercepts and determine the slope of the line. If the slope is undefined, state this.x = -7

A. x-intercept: (-7, 0), m: - 

B. x-intercept: (0, -7), m: 0

C. x-intercept: (0, 0), m: -7

D. x-intercept: (-7, 0), m: undefined

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Use the distributive property to simplify the radical expressions.5(9 + )

A. 45
B. 6
C. 5 + 45
D. 225

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Solve the problem.Find the center of mass of the region of constant density bounded from above by the sphere  and from below by the cone 

A.  = 0,  = 0,  = 3(2 + )
B.  = 0,  = 0,  = (2 + )
C.  = 0,  = 0,  = (2 + )
D.  = 0,  = 0,  = (2 + )

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Solve the problem.A city is growing at the rate of 0.8% annually. If there were 3,070,000 residents in the city in 1993, find how many (to the nearest ten-thousand) were living in that city in 2000. Use 

A. 8,290,000 residents B. 3,250,000 residents C. 460,000 residents D. 3,280,000 residents

Mathematics