Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log2

A. log2(x + 4) -log2x
B. 7log2x -log2(x + 4)
C. log2(x + 4) - 7log2x
D. log2(x + 4) + 7log2x


Answer: C

Mathematics

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Find the mass of the wire that lies along the curve r and has density ?.C1: r(t) = (8 cos t)i + (8 sin t)j, 0 ? t ? ;C2: r(t) = 8j + tk, 0 ? t ? 1; ? = 7t5

A.  units
B. ?5 units
C. ?5 units
D.  units

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Provide an appropriate response.Suppose f(p) is a linear function given by f(p) = . Find the slope and the y-intercept.

What will be an ideal response?

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Find det A using the method of cofactors.A = 

A. 256 B. -310 C. -256 D. 202

Mathematics

Give all possible rational zeros for the polynomial.f(x) = x3 - 7x2 + 4x - 24

A. ±1, ± , ±2, ±3, ±4, ±6, ±8, ±12, ±24
B. ±1, ±2, ±3, ±4, ±6, ±12, ±24
C. ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
D. ±1, ±2, ±3, ±4, ±24

Mathematics