The decay of a substance can be modeled by y' = -0.1824y. How long will it...
5) It is known that radioactive decay of a substance can be modeled as N = Noe"t/t, where No is the amount of substance N at time-0, and r is the mean lifetime of a radioactive particle before decay In le')= a) Linearize this equation. (4 points) N Ne ( b) Given the data in the table, perform the linear regression to the equation you wrote in part a). Show your work to receive full credit. (16 points) 2 h....
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.
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) = 250e - 223, where t is the time in years? Round your answer to the nearest hundredth year. A) 3.11 yr B) 55.75 yr 24.76 yr D) 27.87 yr
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.)
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...
The half-life for the radioactive decay of C-14 is 5730 years. How long will it take for 25% of the C-14 atoms in a sample of C-14 to decay. If a sample of C-14 initially contains 1.5 mmol of C-14, how many mmols will be left after 2255 years.
ANSWER ALL PLEASE! Applications of Exponential Equations Many real-life situations can be modeled by an exponential growth function of the form A(t) Ao ett constant that affects the rate of growth or decay, and t represents time. Using your knowledge of writing exponential equations that you did in the beginning of this chapter, what would A or an exponential decay function of the form A(t)-A ett where k represents the represent? 1. The amount of carbon-14 present in animal bones...
If it takes 12.8 years for 87.5% of bismuth-209 in a sample to decay, how long will it take for 0.48 g of bismuth-209 to decay to 0.31 g? 6.8 years 25.1 years 1.8 years 2.7 years 14.3 years
logarithms can be used to calculate the time it takes for the original substance to decay to a specified amount. We wish to use this discussion to formulate ideas about the amount of time it takes for a radioactive substance to decay given a minimal amount of information. Assume we find a radioactive substance with a half-life of 4 days. Is it possible for us to determine the amount of time it takes for only one-eighth of the original amount...
If it takes 12.8 years for 87.5% of bismuth-209 in a sample to decay, how long will it take for 0.48 g of bismuth-209 to decay to 0.27 g? 5.8 years 2.4 years O 7.4 years 6.1 years O 3.6 years