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# (Solved): This exercise uses the radioactive decay model. The haif-life of radium-226 is 1600 years. Suppose ...

This exercise uses the radioactive decay model. The haif-life of radium-226 is 1600 years. Suppose we have a 24-mg sample. (a) Find a function that models the mass remaining after years. (b) Find a function that models the mass remaining after years. (Round your value to six decimal places.) (c) How much of the sample will remain after 4500 years? (Round your answer to one decimal place.) (d) After how many years will only of the sample remain? (Round your answer to one decimal place.) exercise uses the radioactive decay model. half-life of cesium-137 is 30 years. Suppose we have a sample. (a) Find a function that models the mass remaining after years. (b) Find a function that models the mass remaining after years. (Round your value to four decimal places.) (c) How much of the sample will remain after 77 years? (Round your answer to one decimal place.) (d) After how many years will only of the sample remain? (Round your answer to the nearest whole number.) yr This exercise uses Newton's Law of Cooling. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of cooling so that its temperature at time is given by where is measured in minutes and is measured in " (a) What is the initial temperature of the soup? of (b) What is the temperature after 10 min? (Round your answer to one decimal place.) (c) After how long will the temperature be ? (Round your answer to the nearest whole number.) min

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