Suppose that the initial mass of a 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.

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A: image is attached

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Q: suppose that the initial mass of a radioactive substance is m0 and the half-life of the substance is…

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Q: 4.) The half-life of strontium-90 is 28 years. Find the rate of decay. How long will it take a 50 mg…

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Q: 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you are down to 10mg…

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A: Given the data :

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Q: The half life of radium−226 is 1590 years. Let m(t) = m0 exp (kt) be the mass of radium−226 that…

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Q: At the beginning of an experiment, a scientist has 352 grams of radioactive goo. After 225 minutes,…

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Q: At the beginning of an experiment, a scientist has 352 grams of radioactive goo. After 225 minutes,…

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A: Topic :- Differential equation

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.