Question 21 < > Đlpt 51 95 © Details Certain radioactive material decays in such a...
Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 180e -0.045 where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 50 years? Your answer is Round answers to 1 decimal place.
(4 points) Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 320e-0.025t where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 45 years? Your answer is
Suppose that a certain radioactive element decays in such a way that every twenty years the mass of a sample of the element is one third of the initial mass. Given a 100 gram sample of the element, how much of the element remains after 17 years?
4P Radioactive iodine is used by doctors as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such a way that the mass remaining after 1 days is given by the function m(t) = 5e 0.087 where is measured in grams. (a) Find the mass at time : = 0. Please round the answer to the nearest integer. m(0) = grams (b) How much of the mass remains after 20 days? Please round the answer...
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...
A certain radioactive substance decays at a rate proportional to its remaining mass M. a. Express this rate of decay as a differential equation. b. When a living organism dies it ceases to replace the carbon isotope C-14, and 48. the C-14 that is present decays with a half-ife of about 5730 years. If archeologists discover a fossilized bone that has 30% of the C-14 of a live bone, approximately how old is it? A certain radioactive substance decays at...
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...
help please! Question 20 < > B0/1 pt 5399 Details The fox population in a certain region has an annual growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 21600. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the...
A sample of radioactive material is initially found to have an activity of 114 Bq. After 4 days and 5 hours, the activity of the sample is found to be 85 Bq. 1) Calculate the disintegration constant of this material. 1 = 51 Submit 2) Calculate the half-life of the material. T12- days Submit 3) How long from the beginning (when the activity was 114 Bq) did it take for the sample to reach an activity of 10 Bq? t...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...