12 Select the correct answer from each drop-down menu.
Consider function f, where B is a real number.
f = tan(B)
Complete the statement describing the transformations to function fas the value of Bis changed.
, and the frequency of the function
As the value of Bincreases, the period of the function
When the value of Bis negative, the graph of the function
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Asphere has a diameter of 10 in. what is the volume of the sphere?

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

Which of the following scenarios demonstrates an exponential decay