The radioactive substance uranium-240 has a half-life of 14 hours. The amount A (t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. 14 A (t) = 3200 Find the initial amount in the sample and the amount remaining after 30 hours. Round your answers to the nearest gram as necessary. Initial amount: | grams Amount after 30 hours: grams

Q: Radioactive Carbon-14 The percentage Pof radioactive carbon- 14 remaining in a fossil after t years…

A: Note: As P and b for the first question are not given in the data provided by you. Solved the second…

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: Solve for t. a. e -0.2t - 9 b. e kt. ce(In 0.4)t – 0.5 1.

A: Part a,Given,           e-0.2t=9

Q: During a flu epidemic in a small town, health officials estimate that the number of people infected…

A: After how many days will 800 people infected?

Q: he half-life of a drug in the bloodstream is 13 hours. By what factor does the concentration of the…

A:

Q: What fraction of the original drug dose remains in the bloodstream in 24 hour?

A: here given  that The half-life of a drug in the bloodstream is four hours.

Q: The half-life of a radioactive kind of uranium is 2 years. If you start with 5,712 grams of it, how…

A: According to question given that The half life of a radioactive kind of uranium is = 2 years A0=5712…

Q: Fluctuation in the Solar Constant The solar constant S is the amount of per unit area that reaches…

A: (a) Calculate the value of ∆S for N = 80 if the fluctuation in solar constant S is given by…

Q: In (4.x) = 3

A:

Q: Write the exponential curve y = ae"to the following data. 12 1 9. 10 15 12 15 21

A:

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

A: Given data: Find the associated half-life time or doubling time. (Round your answer to three…

Q: A population grows at a rate of 18% each week. After how many weeks will this population double?…

A: as per guidelines, we will solve the first question only. Let P(t) denotes the population after t…

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: For a nonsmoker, the biological half-life of theophylline is 8 hours. Find the amount of the drug…

A: Please find the details answer in the next step.

Q: The half-life of Radium-226 is 1590 years. if a sample contains 300 mg, how many mg will remain…

A: Consider the given half life 1590year and sample contains 300mg

Q: 3. Describe which way (up/down, left/right) and by how much the graph of f(x) = log z will shift…

A: Given; f(x)=log x

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.