Provide an appropriate response.If log4(x + 6) = 2 - log4 x, then x =

A. 8.
B. -4.
C. 2.
D. 4.
E. 10.


Answer: C

Mathematics

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Solve the problem.A balloon in the shape of a sphere is deflating. Given that t represents the time, in minutes, since it began losing air, the radius of the balloon (in cm) is  Let the equation V(r) = ?r3 represent the volume of a sphere of radius r. Find and interpret (V ? r)(t).

A. (V ? r)(t) = ?(t - 23)3; This is the volume of the balloon (in cm3) as a function of time (in minutes).
B. (V ? r)(t) = ?(23 - t)3; This is the volume of the balloon (in cm3) as a function of time (in minutes).
C. (V ? r)(t) = 23 - ?(23 - t)3; This is the volume of the air lost by the balloon (in cm3) as a function of time (in minutes).
D. (V ? r)(t) = ?(23 - t)3; This is the volume of the air lost by the balloon (in cm3) as a function of time (in minutes).

Mathematics

Simplify.

A.
B.
C. -9a6b9
D.

Mathematics

Solve the problem.The table lists the average composite scores on a national entrance exam for selected years. Evaluate f(1991).

A. 130.9 B. 131.7 C. 131.5 D. 130.5

Mathematics

Solve the initial value problem: y? = sin x + 2x; y (0) = 2 .

What will be an ideal response?

Mathematics