A building has a freight elevator as well as a passenger elevator. Both elevators shafts are 600 feet long. Both elevators start at the same time, t = 0. We have this information about the passenger elevator: 4 minutes after starting, it was at the top of its shaft, 600 feet up; 1 minute after starting, it was 150 feet up. This information is compactly described by the ordered paired (4, 600) and (1, 150). With a similar notation, we have the following information about the freight elevator: (2, 350) and (3, 100). Exactly when (if ever) are both elevators at the same height, and exactly what is that height? Note: do not approximate.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Asquare picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. find the area of the mat that will remain uncovered by the picture.

What is the measure of one interior angle of a pentagon