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How long will it take a sample of radioactive substance to decay to half of its...
How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 200e^-0.131t, where t is the time in years? Roud to the nearest hundredth year.
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 36 grams. Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.) f(t) 250e 0.0087t x To the nearest minute, what is the half-life of this substance? 89 min Use the model for continuous exponential decay, y = Ao e-kt, where y is the amount of radioactive...
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...
A certain radioactive nuclide has a half life of 50.7 years. How long does it take for 87.5% of a sample of this substance to decay? years Submit Hide Hints Hint 1 Hint 4 Hint 3 Hint 2 What percentage of the original sample has decayed after two half lives have elapsed?
The half-Me of a certain substance is 19 years How long will it take for a sample of this substance to decay to 77% of its original amount? Use the exponential decay model A Ag et, to solve years Round to one decimal place as needed.)
A radioactive substance decays at a rate proportional to the amount present at ime t (in hours). Initially, Ao grams of the substance was present, and after 10 hours, the mount has decreased by 20% How long will it take the substance to decay to 40? hat is the half life of this substance? Hint: the half-life is the time required for half of the initial substance to decay)
A sample of 400g of radioactive lead-210 decays to polonium-210 according to the function A(t)=400e−0.032t, where t is time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 6 yr, (c) 15yr. (d) Find the half-life.
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)
Radioactive substance decays so that after t years, the amount remaining, expressed as a percent of the original amount, is A(t)=100(1.6)^(-t). a) Determine the function A’, which represent the rate of decay of the substance. b) what is the half-life for this substance? c) what is the rate of decay when half the substance has decayed?
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...