Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 10 1/2 inches by 10 1/2 inches. Is he correct? Explain your answer

Stephan ( does / doesn’t) have enough wood to make the tray because he has ( 96/ 216/ 60 ) square inches which is ( Less / More ) than he needs to make the tray , ( 106.5, 194.25/ 25 / 50.) square inches.

In the rectangle below ac=30 units what is de

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.

Which of the following parabolas opens down?