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In what way does the graph of y = sin x differ from the graph of y = cos x?

In ΔABC, A = 68o, b = 7.0 cm, and c = 15.0 cm. Find the length of side a.

Evaluate 81-3/4 + 16-3/4 – 16-1/2.

Given f(x) = 2(x – 3)2 + 5, determine the equation for f-1(x).

$100 is invested at 6% per year compounded annually. The amount obtained after 3 years is

Suppose the graph of a function y = f(x) is compressed horizontally by a factor of 0.5, stretched vertically by a factor of 3, reflected in the y axis, and then translated 4 units left. The equation of the function is y = 3f(-2(x + 4)).

Evaluate 82/3 – 813/4 + 42.

A weather balloon is spotted from two angles of elevation, 57o and 83o, from two different tracking stations.  The tracking stations are 15 km apart.  Determine the altitude of the balloon.

The population of bacteria triples every hour. The initial population is 100. How many bacteria will there be in 5 hours?

The first term of a sequence is 4. Every other term in this sequence is three more than the previous term. The fifth term is