The population of a community was 12500 in 1985 and 36000 in 2000. Find the time...
The population of a community was 12500 in 1985 and 36000 in 2000. Find the time it takes the population of this town to double? B) how long will it take, to the nearest day, for 20 mg of iodine -131 to decay to 16.8 mg if the half -life of iodine -131 is 8.1 days?
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The population of a community was 12500 in 1985 and 36000 in
2000. Find the time...
Modeling radioactive decay in pennies MODELING RADIOACTIVE DECAY WITH PENNIES ADVANCED STUDY ASSIGNMENT MODEL 2: RADIONUCLIDE...
Modeling radioactive decay in pennies
MODELING RADIOACTIVE DECAY WITH PENNIES ADVANCED STUDY ASSIGNMENT MODEL 2: RADIONUCLIDE HALF-LIFE The time required for half of a sample of a radionuclides (radioactive isotopes) to decay is called the half-life (units of time). Table 2 below illustrates the half-lives of several radioisotopes and the Table 2: Half-lives of some Radioisoto barium-131 carbon-14 chromium-51 cobalt-60 iodine-131 uranium-238 Radiation Half-life 11.6 days 5730 yrs 27.8 days 5.3 yrs 8.1 days 4.47. 109 yr Application detection of...
Please answer the following questions using exponential and logarithmic models. 4) A wooden artif...
Please answer the following questions using exponential and logarithmic models. 4) A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in living trees. To the nearest year, about how many years old is the artifact? (The half-life of Carbon-14 is 5730 years.) In years 5) A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining...
(c) Compare your answers to (a) and (b), and explain this behavior. 6. The lifetimes of...
(c) Compare your answers to (a) and (b), and explain this behavior. 6. The lifetimes of radioactive nuclei are independent and exponentially distributed. The half-life is given by t1/2 = ln2/λ, where t1/2 is the time such that the expected fraction of atoms remaining is 1/2. (a) Iodine-131 is radioactive, with a half-life of 8.02 days. What is the probability that a single atom of Iodine-131 is still un-decayed after 30 days? (b) How long do you have to wait...
10) The half-life of lodine-131 is 8 days. The initial amount is 20 milligrams. a) Find...
10) The half-life of lodine-131 is 8 days. The initial amount is 20 milligrams. a) Find a function which gives the amount of lodine-131, Act), in milligrams, t days later. Round k, the decay constant, to four decimal places. b) Determine the length of time it takes for 70% of the material to decay. Round your answer to two decimal places. Be sure to label the answer.
Assignment Score: 1393/2000 Hint Check Answer Question 15 of 20 > Hydrogen-3 has a half-life of...
Assignment Score: 1393/2000 Hint Check Answer Question 15 of 20 > Hydrogen-3 has a half-life of 12.3 years. How many years will it take for 462.5 mg PH to decay to 0.23 mg *H? time to decay:
In 2 Use the formula t= that gives the time for a population, with a growth...
In 2 Use the formula t= that gives the time for a population, with a growth rate k, to double, to answer the following questions. The growth model A=70.0071 describes the population, A. of a country in millions, tyears after 2003. a. What is the country's growth rate? The half-life of a certain tranquilizer in the bloodstream is 38 hours. How long will it take for the drug to decay to 84% of the original dosage? Use the exponential decay...
please show answer before and after rounding Finding the rate or time in a word problem...
please show answer before and after rounding
Finding the rate or time in a word problem on continuous... The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 9.1% per day. Find the half-life of this substance (that is, the time it takes for one-half the original amount in a given sample of this substance to decay). Note: This is a continuous exponential decay model. Do not round any intermediate computations, and...
Strontium-90 has a half-life of 28 days. Using the exponential decay model Q(t) = Qoe-ht, find...
Strontium-90 has a half-life of 28 days. Using the exponential decay model Q(t) = Qoe-ht, find the k value to 4 decimal places. How long it would take for 150 grams of Strontium-90 to decay to 5 grams. Round your answer to the nearest day. Answer with a complete sentence. Show all work.
18. The exponential function fx)-25,000()5i is a model for the population of a community x years...
18. The exponential function fx)-25,000()5i is a model for the population of a community x years after 1990. Predict the population for 2030. Round to the nearest whole number. 19. Use A-P(1 +r to find the amount accrued if $15,000 is invested for one year at 4% compounded quarterly. Round to the nearest cent. 20. A substance undergoes radioactive decay at a rate of 0.7% per day. For a mass of 1 kilogram of the substance, the formula y (2.7)...
logarithms can be used to calculate the time it takes for the original substance to decay...
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...
Modeling radioactive decay in pennies
MODELING RADIOACTIVE DECAY WITH PENNIES ADVANCED STUDY ASSIGNMENT MODEL 2: RADIONUCLIDE HALF-LIFE The time required for half of a sample of a radionuclides (radioactive isotopes) to decay is called the half-life (units of time). Table 2 below illustrates the half-lives of several radioisotopes and the Table 2: Half-lives of some Radioisoto barium-131 carbon-14 chromium-51 cobalt-60 iodine-131 uranium-238 Radiation Half-life 11.6 days 5730 yrs 27.8 days 5.3 yrs 8.1 days 4.47. 109 yr Application detection of...
10) The half-life of lodine-131 is 8 days. The initial amount is 20 milligrams. a) Find a function which gives the amount of lodine-131, Act), in milligrams, t days later. Round k, the decay constant, to four decimal places. b) Determine the length of time it takes for 70% of the material to decay. Round your answer to two decimal places. Be sure to label the answer.
Assignment Score: 1393/2000 Hint Check Answer Question 15 of 20 > Hydrogen-3 has a half-life of 12.3 years. How many years will it take for 462.5 mg PH to decay to 0.23 mg *H? time to decay:
In 2 Use the formula t= that gives the time for a population, with a growth rate k, to double, to answer the following questions. The growth model A=70.0071 describes the population, A. of a country in millions, tyears after 2003. a. What is the country's growth rate? The half-life of a certain tranquilizer in the bloodstream is 38 hours. How long will it take for the drug to decay to 84% of the original dosage? Use the exponential decay...
please show answer before and after rounding
Finding the rate or time in a word problem on continuous... The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 9.1% per day. Find the half-life of this substance (that is, the time it takes for one-half the original amount in a given sample of this substance to decay). Note: This is a continuous exponential decay model. Do not round any intermediate computations, and...
Strontium-90 has a half-life of 28 days. Using the exponential decay model Q(t) = Qoe-ht, find the k value to 4 decimal places. How long it would take for 150 grams of Strontium-90 to decay to 5 grams. Round your answer to the nearest day. Answer with a complete sentence. Show all work.
18. The exponential function fx)-25,000()5i is a model for the population of a community x years after 1990. Predict the population for 2030. Round to the nearest whole number. 19. Use A-P(1 +r to find the amount accrued if $15,000 is invested for one year at 4% compounded quarterly. Round to the nearest cent. 20. A substance undergoes radioactive decay at a rate of 0.7% per day. For a mass of 1 kilogram of the substance, the formula y (2.7)...
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