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You want to build a box with an open top out of a piece of cardboard that measures 20 inches by 30 inches. You do this by removing squares from each corner that are units wide. If the widest side of your box must be no more than 18 inches long, what is the smallest value for ? 

How old is a bone which only has 65% of its carbon-14 remaining? The half-life of Carbon-14 is 5,730 years.  Use the formula   to solve. 

What are the solutions to the system shown?  A coordinate plane with labeled x- and y-axes is shown. Two solid lines slope downward from left to right and appear parallel. The black line is positioned to the left and crosses the x-axis near (−6, 0) and the y-axis near (0, −8). The red line is to the right, crossing the y-axis near (0, 8) and the x-axis near (4, 0). Because the lines have the same steep negative slope and never meet, they do not intersect within the graph.

How much greater is the intensity of the sound of a jet at takeoff compared to the intensity of the sound of a normal conversation if the sound of a jet is 150dB and a normal conversation is 60 dB? 

Identify all solutions to the system 

What is the equation of the graph shown? A coordinate plane with labeled x- and y-axes is shown. A red curve decreases from left to right with an exponential decay shape. On the left side of the graph, the curve is high above y = 4 and slopes downward steeply. It crosses the y-axis near (0, 1) and continues decreasing. As x increases, the curve flattens and approaches the x-axis, indicating a horizontal asymptote at y = 0.

What is the end behavior of the graph of  ?  Select all that apply. 

Given , find the inverse.

Evaluate  . 

Which image correctly shows the graph of a function and its inverse?