QuestionSelect your answer.A certain radioactive element decays according to the39.60formula R(t) = Nowhere t is in years. Determinelim R(t) given an initial amount of 5 000 grams.39.06t17536.2036.09Answer

Answered: Image /qna-images/answer/5326be7a-3281-417c-b9a7-edf7fe258ef6.jpg

Answered: Question Select your answer. A certain…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.
Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
Radioactive decay Uranium-234 has a half-life of 2.7x105 Years. (a)Find the amount remaining from a 10-mg sample after a thousand years. (b)How long will it take this sample to decompose until its mass is 7 mg?
The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.

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Question Select your answer. A certain radioactive element decays according to the 39.60 formula R(t) = N, where t is in years. Determine lim R(t) given an initial amount of 5 000 grams. 39.06 t175 36.20 36.09 Answer