The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula:   500 3 π = 4 3 πr3 2. undo multiplication of 4 3 :     125π = πr3 3. undo multiplication of π:     125 = r3 4. undo cube:          3√125 = r the radius of the sphere is 6 ⇒ 5 cm

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.

What is the remainder when 2872 is divided by 76? a) 51 b) 57 c) 60 d) 63

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?