Problem 1 You are in a hot air balloon that is feet above the ground . You can see two people . The angles of depression to person B and to person C are and , respectively . 30 degrees; 20 degrees; 20^ 30^ a . How far is person B from the point on the ground below the hot air balloon ? B . How far is person from the point on the ground below the hot air balloon ? 600 ft c . How far apart are the two people ? B

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.

Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer

If sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then