The breakdown of sample of chemical compound is represented by the function `p(t)=300((1)/(2))^(t)`, where p(t) represents the number of milligrams of the substance, and t represents the time , in years. If `t=0` represents the year 2015, what will be the first year in which the amount of the substance remaining falls to cless than 5 milligrams?

The breakdown of a sample of a chemical compounds is represented by the function p(n)=300(0.5)^(n) , where p(n) represents the number of millligrams of the substance that remains at the end of n years. Which of the following is true? I. 300 represents the number of milligrams of the substance that remains after the first year. II. 0.5 represents the fraction of the starting amount by which the substance gets reduced by the end of each year. III. Each year the substance gets reduced by one-half of 300.

The amount of water remaining in a certain bathtub as it drains when the plug is pulled is represented by the equation, L=-4t^(2)-8t+128 , where L represents the number of liters of water in the bathtub and t represents the amount of time, in minutes, since the plug was pulled. Which expression represents the number of minutes it takes for half of the water that was in the bathtub before the plug was pulled to drain?

The temperature, t, generated by an electrical circuit is represented by t=f(m)=0.3m^(2) , where m is the number of moving parts. The resistance of the same circuits is represented by r=g(t)=150+5t, where t is the temperature. What is the resistance in a circuit that has four moving parts?

(1)/((t-2)^(2))=6+(1)/(t-2) If p and q represents the solutions of the equations above, what is the value of ptimesq ?

The percent p of a popuation that has completed 4 years of college is given by the function p(t) = -0.001 t^2 + 0.4 t . Where t represents time , in years . What percent of the population has completed four years of college after 20 years , to the nearest tenth ?

A population, T(x), of wild turkeys, in a certain rural area is represented by the function, T(x)=17(1.15)^(2x) , where x is number of years since 2010. According to this model, how many more turkeys are in the population for the year 2015 than were avaible for 2010?

What does N.T.P. represent?

A wave pulse on a horizontal string is represented by the function y(x, t) = (5.0)/(1.0 + (x - 2t)^(2)) (CGS units) plot this function at t = 0 , 2.5 and 5.0 s .