Write as the sum and/or difference of logarithms. Express powers as factors.log4

A. - 3log4x
B. log4x - 3
C. log4x - 3
D. 12 -  log4x


Answer: C

Mathematics

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Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 cos t, y = 3 sin t, ? ? t ? 2?

A. x2 + y2 = 1; Clockwise from
(1, 0) to (1, 0), one rotation

B. x2 + y2 = 9; Counterclockwise from
(-3, 0) to (3, 0)

C. x2 + y2 = 9; Counterclockwise from
(3, 0) to (3, 0), one rotation

D. x2 + y2 = 9; Clockwise from (3, 0) to (-3, 0)

Mathematics

Solve the problem.Evaluate  at (u, v) = (1, 5) for the function w = xz + yz - z2; x = uv, y = uv, z = u.

A. -2 B. 20 C. 0 D. 18

Mathematics

Provide an appropriate response.Use the Intermediate Value Theorem to prove that 6 sin x = x has a solution between  and ?.

What will be an ideal response?

Mathematics

Translate the given formula to English.P = nb, where P is the perimeter of a regular polygon with n sides each of length b.

What will be an ideal response?

Mathematics