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Cesium 137 (Cs137)is a Short-Lived Radioactive Isotope e(ln230)t e^{-\left(\frac{\ln 2}{30}\right) t}

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Cesium 137 (Cs137)is a short-lived radioactive isotope.It decays at a rate proportional to the amount of itself present and has a half-life of 30 years (i.e., the amount of Cs137 remaining t years after A0 mg of the radioactive isotope is released is given by  Cesium 137 (Cs<sup>137</sup>)is a short-lived radioactive isotope.It decays at a rate proportional to the amount of itself present and has a half-life of 30 years (i.e., the amount of Cs<sup>137</sup> remaining t years after A<sub>0</sub> mg of the radioactive isotope is released is given by     e^{-\left(\frac{\ln 2}{30}\right) t}  ).As a result of its operations, a nuclear power plant releases Cs<sup>137</sup> at a rate of 0.14 mg per year.The plant began its operations in 1990, which we will designate as t = 0.Assume there is no other source of this particular isotope.Since Cs<sup>137</sup> poses a great health risk, the government says that the maximum amount of Cs<sup>137</sup> acceptable in the surrounding environment is 1 mg (spread over the surroundings).How many mg per year of the isotope can the station release and still be in compliance with the regulations? Round to 2 decimal places. e(ln230)t e^{-\left(\frac{\ln 2}{30}\right) t} ).As a result of its operations, a nuclear power plant releases Cs137 at a rate of 0.14 mg per year.The plant began its operations in 1990, which we will designate as t = 0.Assume there is no other source of this particular isotope.Since Cs137 poses a great health risk, the government says that the maximum amount of Cs137 acceptable in the surrounding environment is 1 mg (spread over the surroundings).How many mg per year of the isotope can the station release and still be in compliance with the regulations? Round to 2 decimal places.

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