Mary wants to fill in a cylinder vase. at the flower store they told her that the vase should be filled 3/4 for the flowers to last the longest. her cylinder vase has a radius of 2 in and a height of 9in. how much water should mary pour into the vase?

Use the x-intercept method to find all real solutions of the equation. x^3-10x^2+27x-18=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.

The winner of a golf tournament made five putts for birdies. the lengths of these putts are in the table shown. what is the total distance of the putts in the yards, feet, and inches?