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Question 22 (1 point) Suppose the exponential decay of a radioactive isotope is modeled by the...
Applications of Exponential Equations Many real-life situations can be modeled by an exponential ...
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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...
17. If it takes 3.4 years for a radioactive isotope to decay to 1/16 of its...
17. If it takes 3.4 years for a radioactive isotope to decay to 1/16 of its initial value, what is the value of k for the isotope? A. 0.82 years! B. 0.69 years! C 0.051 years D. 0.20 years! E 0.92 years
Questions 3.03 Suppose a radioactive isotope has half-life-99.11. How long will take for a sample of...
Questions 3.03 Suppose a radioactive isotope has half-life-99.11. How long will take for a sample of the Isotope to decay to 3.0% of its originaltivity? a 2181 b. 0.0354h C348 yr d. 297 h e. 501 he Oь Od Od O. Question 303 A radioactive stope has halte-273 How long will be for 3.27 mmple of the Isotope to decay to 0.351 CIT 00817 y 382 y 133 y d. 87.9 y 6.60.9 y O. Оe Question 7 3.03 pts...
V Question 5 3.03 pts Suppose a radioactive isotope has a half-life t% = 99.1 hr....
V Question 5 3.03 pts Suppose a radioactive isotope has a half-life t% = 99.1 hr. How long will it take for a sample of the isotope to decay to 3.0% of its original activity? a. 218 hr b. 0.0354hr c. 348 yr d. 297 hr e. 501 hr O a Ob Ос Question 6 3.03 pts A radioactive isotope has a half-life, t% = 27.3 yr How long will it take for a 3.27 mCi sample of this isotope...
Using Python 3... Question 4: Carbon dating (3 points) Archaeologists use the exponential, radioactive decay of...
Using Python 3...
Question 4: Carbon dating (3 points) Archaeologists use the exponential, radioactive decay of carbon-14 to estimate the death dates of organic material. The stable form of carbon is carbon-12, and the radioactive isotope carbon-14 decays over time into nitrogen-14 and other particles. Carbon is naturally in all living organisms, and the carbon-14 that forms in the upper atmosphere enters into living things as long as they are taking in material (food, air, etc.) that contains carbon. We...
Radioactive decay occurs when a radioactive isotope ("parent" isotope) gradually transforms into ...
Radioactive decay occurs when a radioactive isotope ("parent" isotope) gradually transforms into a radiogenic isotope ("daughter" isotope) over time. This process is modeled by the following function: where r is the ratio of parent to daughter atoms, t is time and τΗ is called the halflife. The following table shows several parent-daughter pairs along with their half-lives. Daughter N14 Srs7 Ar4o Pb206 Pb207 Half-Life (years) 5730 48.8 x 109 1.3 x 109 4.6 x 109 0.7 x 10 arent Rbs7...
The Cadmium isotope 109Cd is radioactive. A sample begins decay with 1012 Cd atoms. After 500...
The Cadmium isotope 109Cd is radioactive. A sample begins decay with 1012 Cd atoms. After 500 days, 4.7 x 1011 atoms remain. What is the half-life of this sample? (a) 46 days (b) 102 days (c) 459 days -- right answer but not sure how to get it (d) 662 days (e) none of the above
5) It is known that radioactive decay of a substance can be modeled as N =...
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....
19. An isotope with a high value of N/Z will end to decay through: a. alpha decay b. beta decay C. positron decay d. electron capture e. gamma decay 20.Identify the missing species in the followi...
19. An isotope with a high value of N/Z will end to decay through: a. alpha decay b. beta decay C. positron decay d. electron capture e. gamma decay 20.Identify the missing species in the following nuclear transmutation: 246Cm +12C 41n+? a. 254No b. 258No c. 238Cf d. 238Th e. none of the above 21. The isotope 42Sc is unstable because: a. the number of neutrons is too large in relation to the number of protons b. the number of...
11. The normal healing of a wound can be modeled with an exponential function. If A...
11. The normal healing of a wound can be modeled with an exponential function. If A represents the area in square millimeters (mm) of the wound after n days, then the function A(n) =100e5. Label all answers to the following questions, correct to 2 decimal places. a. What is the initial area of the wound? b. After 2 days, what is the area of the wound? C. After how many days will the area of the wound be 50 mm??
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...
17. If it takes 3.4 years for a radioactive isotope to decay to 1/16 of its initial value, what is the value of k for the isotope? A. 0.82 years! B. 0.69 years! C 0.051 years D. 0.20 years! E 0.92 years
Questions 3.03 Suppose a radioactive isotope has half-life-99.11. How long will take for a sample of the Isotope to decay to 3.0% of its originaltivity? a 2181 b. 0.0354h C348 yr d. 297 h e. 501 he Oь Od Od O. Question 303 A radioactive stope has halte-273 How long will be for 3.27 mmple of the Isotope to decay to 0.351 CIT 00817 y 382 y 133 y d. 87.9 y 6.60.9 y O. Оe Question 7 3.03 pts...
V Question 5 3.03 pts Suppose a radioactive isotope has a half-life t% = 99.1 hr. How long will it take for a sample of the isotope to decay to 3.0% of its original activity? a. 218 hr b. 0.0354hr c. 348 yr d. 297 hr e. 501 hr O a Ob Ос Question 6 3.03 pts A radioactive isotope has a half-life, t% = 27.3 yr How long will it take for a 3.27 mCi sample of this isotope...
Using Python 3...
Question 4: Carbon dating (3 points) Archaeologists use the exponential, radioactive decay of carbon-14 to estimate the death dates of organic material. The stable form of carbon is carbon-12, and the radioactive isotope carbon-14 decays over time into nitrogen-14 and other particles. Carbon is naturally in all living organisms, and the carbon-14 that forms in the upper atmosphere enters into living things as long as they are taking in material (food, air, etc.) that contains carbon. We...
Radioactive decay occurs when a radioactive isotope ("parent" isotope) gradually transforms into a radiogenic isotope ("daughter" isotope) over time. This process is modeled by the following function: where r is the ratio of parent to daughter atoms, t is time and τΗ is called the halflife. The following table shows several parent-daughter pairs along with their half-lives. Daughter N14 Srs7 Ar4o Pb206 Pb207 Half-Life (years) 5730 48.8 x 109 1.3 x 109 4.6 x 109 0.7 x 10 arent Rbs7...
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....
19. An isotope with a high value of N/Z will end to decay through: a. alpha decay b. beta decay C. positron decay d. electron capture e. gamma decay 20.Identify the missing species in the following nuclear transmutation: 246Cm +12C 41n+? a. 254No b. 258No c. 238Cf d. 238Th e. none of the above 21. The isotope 42Sc is unstable because: a. the number of neutrons is too large in relation to the number of protons b. the number of...
11. The normal healing of a wound can be modeled with an exponential function. If A represents the area in square millimeters (mm) of the wound after n days, then the function A(n) =100e5. Label all answers to the following questions, correct to 2 decimal places. a. What is the initial area of the wound? b. After 2 days, what is the area of the wound? C. After how many days will the area of the wound be 50 mm??
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