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polonium 210 has a half life of 140 days. Suppose a sample of the substance has a mass of 300 mg. a) find the function that models the amount of the sample at time t. b)find the mass remaining...

a logistic model for the word population is P(t)=73.2/(6.1+5.9e^-0.02t) where t=0 indicates the year 2000 and the population is measured in billions. a) what world population does this model...

a certain breed of rabbit was introduced into a small island about 8 years ago. The current populations is estimated to be 4100. Using the model N(t)=Nbase0e^0.55t,   a) what is the initial...

Use the following information for determining sound intensity. The level of sound β, in decibels, with an intensity of I, is given by β = 10 log(I/I0) where I0 is an intensity of 10^−12...

Use the following information for determining sound intensity. The level of sound β, in decibels, with an intensity of I, is given by the equation below, where I0 is an intensity of 10^-12 watt per...

The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours, there are 100 bacteria, and after 5 hours, there are 800 bacteria. How many bacteria will...

Given that I(0) = 10^−12 watts/meter^2, what is the intensity of a sound for which the decibel level of the sound measures 139? Round off your answer to three decimal places.