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Please slove both, will give upvote. Find the natue of a radioactive element, which decays according...
A radioactive element decays according to the function y=y0 e −0.0307t, where t is the time in years. If an initial sample contains y0 = 8 grams of the element, how many grams will be present after 20 years? What is the half-life of this element?
A radioactive material decays with a rate proportional to the amount present at any instant. a) Write and solve the differential equation. b) Use the solution of the differential equation to solve the following application problem. Carbon 14 (14C) is a radioactive isotope of the carbon element and has an approximate half-life of 5600 years. The fossil bones of an animal were analyzed and found to contain one-tenth of the radioactive 14C. Determine the approximate age of the bones found.
Find the half-life of a radioactive element, which decays according to the function A(t)=A0e−0.0372t, where t is the time in years.
In the carbon dating process for measuring the age of objects, carbon-14, a radioactive isotope, decays into carbon-12 with a half-life of 5730 years. A Cro-Magnon cave painting was found in a cave in Europe. If the level of carbon-14 radioactivity in charcoal in the cave is approximately 16% of the level of living wood, estimate how long ago the cave paintings were made. (Hint: Let the initial amount of carbon-14 be C0. Round your answer to the nearest year.)
14 C is a radioactive isotope of carbon, which decays with a const ant half-life of 5730 y. If a Megatherium (giant sloth) skull contains 0.011% of the 14 C it did when the animal was alive, how old is the tusk?
Strontium 90 is a radioactive material that decays according to the function A()-A 00244t, where Ao is the initial amount time t (n years). Assume that a scientist has a sample of 500 grams of strontium 90 (a) What is the decay rate of strontium 90? (b) How much strontium 90 is left after 10 years? (c) When will only 400 grams of strontium 90 be left? (d) What is the half-life of strontium 902 (a) What is the decay...
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 53.2% of their carbon-14. How old were the bones at the time they were discovered? The bones were about years old. (Round to the nearest integer as needed.)
Question Help n The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 64.5% of their carbon-14. How old were the bones at the time they were discovered? The bones were about years old. (Round to the nearest Integer as needed.) ina
(2 points) The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present, with a half-life of 5592 years. Suppose C(t) is the amount of carbon-14 present at time t. (a) Find the value of the constant k in the differential equation C' =-kC. k= (b) In 1988 three teams of scientists...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(t) = moz-th that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moet that models the mass remaining after t years. (Round your value to six decimal places.) m(L) = (c) How much of the sample will remain after 2500 years? (Round your...