The radioactive substance cesium-137 has a half-life of 30 years. The A(t)  (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function. A(t)= 934(1/2) ^ t30    Find the amount of the sample remaining after 20 years and after 50 years.    Round your answers to the nearest gram as necessary

Q: Consider the exponential functions y=0.5*x , y=2*x , y=5*x . What value of x results in the same…

A:

Q: Find the value of the given exponential for the indicated values of the variable. 10t/2 (a) 10/2=…

A: 10t/2   , for t=-2 10-2/2 = 10-1=1/10= 0.110t/2   , for t=-2   10-2/2 = 10-1=1/10= 0.1

Q: Algebra Question

A: (a) Given:y+2=4Subtracting 4 on both sides:⇒y+2-4=4-4⇒y+2=0Subtracting 2 on both…

Q: The amount of carbon 14 present after t years is given by the exponential equation A(t)=A0ekt​,…

A: Here, given that the amount of carbon 14 present after t years is given by the exponential equation:…

Q: When first observed, an oil spill covers 2 square miles. Measurements show that the area is tripling…

A: When first observed, an oil spill covers 2 square miles

Q: A radioactive substance decays according to the formula N = 50 e-0.0344t where N is the nunmber of…

A: In this question we have to find the half life of substance which we can find out by finding the…

Q: A hard-working student takes 200 mg of ibuprofen to treat a headache. One hour later, 143 mg of…

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Q: When first observed, an oil spill covers 8 square miles. Measurements show that the area is tripling…

A: The objective of the question is to find an exponential model for the area of the oil spill as a…

Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

A: Sol- Given  Q = 1800e-0.025tFor half -life time or doubling timeQ = 1800/2 = 900

Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

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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.