The decay rate, k, for a particular radioactive element is 2.8%, where time is measured in...
The decay rate, k, for a particular radioactive element is 2.8%, where time is measured in years. Find the half-life of the element The half-life is years (Round to one decimal place as needed.)
27. Radioactive decay is modeled by this function where R is the ratio of remaining material and k is the rate of decay. (t is time in years) R=en a. Wh When 800 years have passed, the material has lost 20% of its radioactivity, so R is 0.80 (i.e. 80% is left). Find the rate of decay. b. Use the exact rate of decay from part a. Find the half-life of this element. (Half-life means only 50% of radioactivity is...
Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14. (A) Find the value k such that P(x < k) = 0.6. (Round your answer to two decimal places.)
Half-Life Complete the table shown to the right for the half-life of a certain radioactive substance. Decay Rate, k 4.6% per year = -0.046 The half-life is years. (Round to one decimal place as needed.)
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...
**SOLVE THIS USING MATHLAB** NOTE: Set the radioactive decay constant 'k' equal to 0.000100128 DIFFERENTIAL EQUATIONS 2. One of the applications of Differential Equations is Growth and Decay. Radioactive decay is an exponential process. If xo is the initial quantity of a radioactive substance at time t= 0, then the amount of that substance that will be present at any time t in the future is given by x(t) = Where 'k' is the radioactive decay constant. Create a script...
Complete the table shown to the right for the half fe of a certain radioactive substance Decay Rate, 3.7% per year -0.037 The half-life is years (Round to one decimal place as needed.)
(2 points) An unknown radioactive element decays into non-radioactive substances. In 520 days the radioactivity of a sample decreases by 63 percent. (a) What is the half-life of the element? half-life: (days) (b) How long will it take for a sample of 100 mg to decay to 84 mg? time needed: (days)
Radioactive Decay - Half-life and Activity 1 Radioactive decay - Half-life Time 0 1000 21 31 750 N 1.000.000 500,000 250,000 125,000 62,500 31.250 15.625 7813 3.506 1.953 977 51 6 500 7 BI . 101 250 125 0 tie 21.234.41516171819, 1012 Time in multiples of A radioactive sample's half-life is 30.2 years. 1 year = 365 days, 1 day = 24 hours, 1 hour - 60 minutes, 1 minute = 60 seconds (a) Find its decay constant in year...
An unknown radioactive element decays into non-radioactive substances. In 760 days the radioactivity of a sample decreases by 77 percent.(a) What is the half-life of the element?half-life: (days)(b) How long will it take for a sample of 100 mg to decay to 68 mg?time needed: (days)