A spherical balloon is being inflated. The volume of the balloon (in cubic centimeters) at time t seconds after starting the inflation is given by V (t )space equals space 2 t space plus space 1 cubic centimeters. The radius of the balloon (in centimeters) as a function of its volume is r (V )space equals space.620 space V to the power of 1 divided by 3 end exponent centimeters. How fast is the radius of the balloon increasing at time t space equals space 3 seconds after starting inflation?

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.

You dug a hole that was 8 feet deep. after taking a short break, you dug down 3 more feet in the same hole. when finished digging, a tractor accidentally filled the hole with 4 feet of dirt. how deep is your hole now?

Erik buys 2.5 pounds of cashews. if each pound of cashews costs $7.70, how much will he pay for the cashews?