You are trying to answer a multiple choice question on a standardized test. There are three choices. If you get the question right, then you gain one point, and if you get it wrong, then you lose ¼ point. Assume that you have no idea what the right answer is, so you pick one of the choices at random. What is the expected value of the number of points you get?

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 inequality has a dashed boundary line when graphed ?

Evaluate the expression. (9 + 5)(3 + 2)0