In the diagram below, the length of the tree's shadow is 25 feet. The angle of elevation from the tip of the shadow to the top of the tree is 70 degrees How tall is the tree to the nearest foot?

Use set builder notation to represent the following set: { -3, -2, -1, 0}

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.

Determine the number of girls in a math class with 87 boys if there are 25 girls for every 75 boys