9. A cylindrical water tank 50 ft deep and 25 ft across is used to store pool water for a water park. When the tank is empty, Daniel begins to fill the tank from a garden hose. The rate of flow of water from the garden
hose is 24 gal/min. If Daniel starts filling the tank when he gets to work, and his shift is only 8 hours long,
will he still be working when the tank finishes filling up?

The depth of a lake at a certain point, wich is a function of the distance of that point from shore, is 30 feet.

Alicense plate is to consist of 44 digits followed by 55 uppercase letters. determine the number of different license plates possible if the first and second digits must be? odd, and repetition is not permitted.

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.