Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places. log473.90

A. 18.475
B. 3.104
C. 1.869
D. 0.322


Answer: B

Mathematics

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Provide an appropriate response.Derive the equations  x = x0 + (v0 cos ?)t, y = y0 + (v0 sin ?)t - gt2by solving the following initial value problem for a vector r in the plane. Differential equation:  = -gj Initial conditions: r(0) = x0i + y0j (0) = v0 cos ?)i + (v0 sin ?)j

What will be an ideal response?

Mathematics

Determine whether the equation defines y as a function of x. y2 + x = 8

A. function B. not a function

Mathematics

Find the area under the graph of the function over the interval given.y = -x2 + 9; [0, 3]

A. 0 B. 18 C. 27 D. 36

Mathematics

Simplify, where possible.2(x + 7 + 8y)

A. 2x + 14 + 16y B. 2x + 14 + 8y C. x + 14 + 16y D. 2x + 7 + 8y

Mathematics