A 20-kg quantity of a radioactive isotope decays to 7 kg after 15 years. Find the decay constant of the isotope. (Use decimal notation. Give your answer to three decimal places.) k = -1 years

Q: jet Za = end P- 1ti Express La for m on their exponential

A: A.)Given values are  Z2=3-i3 ,w=1+2i,p=1+i To evaluate Z2w Let  Z=Z2wZ=3-i31+2i Taking log on both…

Q: Find the exact solution to the exponential equation 775 = 18(3)**. (Do not give a decimal…

A:

Q: Find the half-life of a radioactive element, which decays according to the function A(t) = Age…

A:

Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Poe -0.00012t. A…

A: answer is in next step. please give a like !!

Q: 4. Use the exponential shift to find the general solution. (D – 7)*y = 0

A:

Q: The half-life of radium-226 is 1590 years. A sample has a mass of 100 mg. Find the mass after 1000…

A:

Q: A sample of a radioactive substance has an initial mass of 795.3 mg. This substance follows a…

A: Given:

Q: b. log, x-log, (x+42) = 0

A:

Q: How long does it take until 5% of the isotope technetium-99m d) nains? Round to the nearest tenth of…

A: Topic:- exponential decaying function

Q: Given the two points (3,1) and (5,4), find the equation of the exponential  function that passes…

A: Given: The points are 3,1 and 5,4. To find: Equation of the exponential function that passes through…

Q: DFecay rate,k: 2.9% per year= -0.029 The half-life is ___ years.

A:

Q: The dollar value  vt  of a certain car model that is  t  years old is given by the following…

A: given exponential function is vt=29,900 0.95tfind the initial value after 11 years

Q: In the year 1950, the world population was 2.56 billion people. In 1960, the population grew to 3.04…

A:

Q: The half - life of the radioactifive substance Carbon- 14 is approximately 5750 years. Suppose an…

A: Given that the half-life of the radioactive substance carbon-14 is approximately 5750 years. Suppose…

Q: A fossilized bone is found to contain 0.1% of its original amount of C-14. Determine the age of the…

A:

Q: 1) Solve for b. Express the result as a reduced fraction. 1 log, 4 3

A:

Q: The half-life of Strontium is 28 years. Suppose we have a 80 mg sample. How long will it take the…

A: Given: The half-life of Strontium is 28 years. We have to find the duration to take the sample to…

Q: The radioactive isotope Bismuth-210 has a half-life of 5 days. How many days does it take for 87.5%…

A:

Q: A radioactive substance decays according to A=A0e^−0.0037t, where A 0 is the initial amount and t is…

A: A=A0 e−0.0037t , where A0  is the initial amount and t is the time in years

Q: A certain radioactive isotope decays according to the model y(t) = yo e-0.0002, where y(t)…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: log,40 6. Use the Change of Base Formula to evaluate а. 0.527 с. 3.689 b. 1.602 d. 1.896

A:

Q: H. The population is 900 in the beginning and will grow by 300 people during the next two years.

A:

Q: CFU #1 y An element with mass 430 grams decays by 27.4% per minute. How much of the element is…

A:

Q: The half- life of the radioactive substance Carbon- 14 is approximately 5750 years. Suppose an…

A:

Q: The half-life of radium-222 is approximately 38 seconds. Step 3 of 3: How much of a 4 gram sample of…

A:

Q: The amount of​ carbon-14 present in a paint after t years is given by y=yoe−0.00012t. The paint…

A: Exponential decay

Q: An Artifact contains 42% of the Carbon-14 that it originally had. How long ago was the artifact…

A:

Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) Vi, V-i

A:

Q: Complete the table shown to the right for the half-life of a certain radioactive substance. Decay…

A: A(t)=A0ekt

Q: Find the exponential function y = Cekt that passes through the two given points.

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: The half life =1590 year. Original amount=100 mg

Q: A nkcschools.instructure.com The formula for an exponential function is y = 639 × 0.62' The decay…

A: Given y=639×(0.62)t In general, if y=C(S)t is given, then here S represents the decay factor.

Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) vi, V-i

A: The objective is to find the exponential form.

Q: 3 Find the exponential equation whose graph passes through the points (-2, ) and (1,15) 25 y% D

A:

Q: A certain radioactive substance has a half-life of 38 hours. Find how long it takes for 90% of the…

A:

Q: - 0.0394t The half-life of the element is Find the half-life of a radioactive element, which decays…

A:

Q: 11. The current population in Passaic is 9,000. If the population, P, increases by 15% each year,…

A:

Q: A certain radioactive substance has a half-life of 38 hours. The rate of change in the decay…

A:

Q: Find the half-life of a radioactive element, The half-life of the element is which decays according…

A:

Q: The amount of Carbon 14 absorbed by a tree that grew centuries ago should be the same amount as…

A: From the given statement, the piece of ancient charcoal contains only 15%.

Q: Determine the approximate value of x in the exponential equation, 6 23x-90? O x= 1.302 O x- 1.176 O…

A:

Q: Write the exponential function y=20(1.26)^t in the form y=ae^(kt). a) Once you have rewritten the…

A: Given,           The exponential function y=20(1.26)t in the form y=aekt

Q: Find the exponential function y Cekt that passes through the points (0, 4) and (5,). %3D

A: Given that, the exponential function y=C ekt passes through the points 0, 4 and 5, 12. Therefore, it…

Q: A certain isotope decays so that the amount A remaining after t years is given by: A = Ao e-0.03t…

A:

Q: 11. 5+ log, (n + 1) = 8

A:

Q: The decay rate, k, for a particular radioactive element is 1.9%, where time is measured in years.…

A:

Q: log x? - log ry +4 log y

A:

Q: Half-Life decay Rate,k 2208 years

A:

Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

A: given p(t) = p0e-0.00012097tand ivory tusk has lost 18% of carbon-14p(t) = po-18100pop(t) = 0.82p0t=…