A sample of human remains found at an archeological dig was determined to have 66.9% of...
A sample of human remains found at an archeological dig was determined to have 66.9% of its Carbon-14 remaining. Supposing an exponential decay given by the model Q(t) = Q0e^ (−0.000121t) , find the age of the sample. Round to the nearest year.
Homework Answers
Q(t) = Qo e^(−0.000121t)
Plug Q(t) = 0.669 Qo
0.669 Qo = Qo e^(−0.000121t)
Dividing both sides by Qo
0.669 = e^(−0.000121t)
Taking log on both sides
ln 0.669 = −0.000121t
t = 3322
| age of the sample is 3322 years |
Add Answer to:
A sample of human remains found at an archeological dig was
determined to have 66.9% of...
Refer to the model ()=26e0.0001211 used for radiocarbon dating. At an archeological site, scientists uncovered human...
Refer to the model ()=26e0.0001211 used for radiocarbon dating. At an archeological site, scientists uncovered human remains. A sample from a human bone taken from the site showed that 30% of the carbon-14 still remained. How old is the sample? Round to the nearest year. Do not round intermediate calculations. The sample from the human remains is approximately years old.
A small bone found at an archeological excavation site has 1/16 the normal carbon-14 decay rate....
A small bone found at an archeological excavation site has 1/16 the normal carbon-14 decay rate. The half-life of carbon-14 is T=5700 years. Determine the bone's age. Express your answer using two significant figures.
1. The remains of a pre-historic human are found. The mass of carbon in the sample...
1. The remains of a pre-historic human are found. The mass of carbon in the sample is 8.5kg. The activity i.e. the number of decays per second is 700 decays/second. In living matter the ratio of 14c/?C=1.3. 10-12 14C is radioactive, whereas 12C is stable. Carbon's atomic mass is 12g per 6.02.102 atoms. The halflife of carbon is 5730 years. Make sure to label the different parts of your answer! a) How many carbon atoms are in the sample? b)...
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...
Applications of Exponential Equations Many real-life situations can be modeled by an exponential ...
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...
time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the...
time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the medication in the bloodstream at various times after taking the medication. The table shows the Time since taking Amount remaining 10 0 3.30 1.09 0.36 0.12 12 16 a. What type of function might be an appropriate model for these data and why? b. Use...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. f(x) = -6x* +5x2 - x +7 Choose the correct answer below. A. The graph of f(x) falls to the left and falls to the right. O B. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of f(x) rises...
A biologist has a 3153-gram sample of a radioactive substance. Find the mass of the sample...
A biologist has a 3153-gram sample of a radioactive substance. Find the mass of the sample after three hours if it decreases according to a continuous exponential decay model, at a relative rate of 14% per hour. Do not round any intermediate computations, and round your answer to the nearest tenth. Igrams x 6
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of...
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...
-0.0001211 Use the model (t)-20e for radiocarbon dating to answer the question. A sample from a...
-0.0001211 Use the model (t)-20e for radiocarbon dating to answer the question. A sample from a mummified bull was taken from a certain place. The sample shows that 86% of the carbon-14 still remains. How old is the sample? Round to the nearest year. The sample is approximately years old.
Refer to the model ()=26e0.0001211 used for radiocarbon dating. At an archeological site, scientists uncovered human remains. A sample from a human bone taken from the site showed that 30% of the carbon-14 still remained. How old is the sample? Round to the nearest year. Do not round intermediate calculations. The sample from the human remains is approximately years old.
1. The remains of a pre-historic human are found. The mass of carbon in the sample is 8.5kg. The activity i.e. the number of decays per second is 700 decays/second. In living matter the ratio of 14c/?C=1.3. 10-12 14C is radioactive, whereas 12C is stable. Carbon's atomic mass is 12g per 6.02.102 atoms. The halflife of carbon is 5730 years. Make sure to label the different parts of your answer! a) How many carbon atoms are in the sample? b)...
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...
time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the medication in the bloodstream at various times after taking the medication. The table shows the Time since taking Amount remaining 10 0 3.30 1.09 0.36 0.12 12 16 a. What type of function might be an appropriate model for these data and why? b. Use...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. f(x) = -6x* +5x2 - x +7 Choose the correct answer below. A. The graph of f(x) falls to the left and falls to the right. O B. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of f(x) rises...
A biologist has a 3153-gram sample of a radioactive substance. Find the mass of the sample after three hours if it decreases according to a continuous exponential decay model, at a relative rate of 14% per hour. Do not round any intermediate computations, and round your answer to the nearest tenth. Igrams x 6
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...
-0.0001211 Use the model (t)-20e for radiocarbon dating to answer the question. A sample from a mummified bull was taken from a certain place. The sample shows that 86% of the carbon-14 still remains. How old is the sample? Round to the nearest year. The sample is approximately years old.
Most questions answered within 3 hours.
-
1a) According to the ideal gas law, _______________.
a. a gas has infinite volume at absolute...
asked 46 minutes ago -
Oakdale Fashions, Inc. had $245,000 in 2018 taxable income.
Using the tax schedule in Table 2.3...
asked 1 hour ago -
The marketing class at CSUS had an average score of 150. An
educational analyst determined that...
asked 2 hours ago -
Justin Case has purchased a $250 000 home by putting 20 % down
and taking out...
asked 2 hours ago -
1. In a labor market, marginal cost for a firm is
____________.
a. recruiting cost
b....
asked 3 hours ago -
On January 1, 2019, ABC Company issued $60,000,000 of 20-year,
10.5% bonds when the market rate...
asked 3 hours ago -
39.4% of US homes continue to use a landline in addition to cell
phone service. 3...
asked 4 hours ago -
Starting with benzene, synthesize 1-phenyl-1-butyne.
Show intermediates and reagents.
asked 5 hours ago -
Create a 32-run crossed array design with six control factors
and two noise factors such that...
asked 6 hours ago -
A 500g sample of sand from source A has the following amounts
retained on each sieve....
asked 6 hours ago -
In
your own words, please explain the essay by John Keynes wrote "The
End of Laissez...
asked 6 hours ago -
How are the matrix and pixels related? Why are smaller
pixels better for diagnostic quality?
asked 6 hours ago