8. A doctor and injects a patient with 13 milligrams ofradioactive dye that decays exponentially. After 12 minutes,there are 4.75 milligrams of dye remaining in the patient'ssystem. Which is an appropriate model for this situation?O f(t) = 13(0.0805)*%3DO f(t) = 13e0.9195t475O f(t)f(t) =%3D1+138-0.83925tO f(t) = 13e-0.0839t

Answered: Image /qna-images/answer/8b47c929-2c5e-4df4-a321-1c1e3d8ee64d.jpg

Answered: 8. A doctor and injects a patient with…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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One of the main contaminants of a nuclear accident, such as that at Chernobyl, is strontium-90, which decays exponentially at a rate of approximately 2.4% per year. (a) Write the percent of strontium-90 remaining, P, as a function of years, t, since the nuclear accident. [Hint: 100% of the contaminant remains at t = 0.] P(t)= = (b) Estimate the half-life of strontium-90. NOTE: Round your answer to the nearest integer. The half-life of strontium-90 is (c) After the Chernobyl disaster, it was predicted that the region would not be safe for human habitation for 100 years. Estimate the percent of original strontium-90 remaining at this time. NOTE: Round your answer to the nearest integer. There is about of original strontium-90 remaining at this time. years. %
The decay time is the time it takes for a radioactive substance to lose half of its amount. This function is given by A(t)=a e-.69*t/Twhere a is the initial amount, t is the time elapsed, T is the time it is known to decay by one-half and A(t) is the amount left. Carbon -14 has a half-life of 5,200 years. Something is assumed to be 3500 years old. How much carbon-14 is left if it is known to have started with 20 grams of carbon-14?
Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14. Find the amount (percent of one gram) of carbon-14 lasting less than 5,730 years. This means, find P(x > 5,730).

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