If you shout into a Grand Canyon your voice travels at the speed of the sound 340m/s to the bottom of the canyon and back , and you hear an echo ,how deep is the gran canyon at a spot where you can hear a echo 5.2 seconds after you shout

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.

Find the area of the regular hexagon if a side is 20 cm.

If the scale factor between two circles is 2x/5y what is the ratio of their areas?