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Strontium-90 has a half-life of 28 days. Using the exponential decay model Q(t) = Qoe-ht, find...
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...
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...
One radioactive material that is produced in atomic bombs is the isotope strontium-90, which has a...
One radioactive material that is produced in atomic bombs is the isotope strontium-90, which has a half-life of 28 years. If a person is exposed to strontium-90, it can collect in human bone tissue, where it can cause leukemia and other cancers. If an atomic bomb test site is contaminated by strontium-90, how long will it take for the radioactive material to decay to 30% of the original amount? (Round the growth factor to eight decimal numbers. Round your answer...
54. Using the scenario below, model the situation using an exponential function and a base of...
54. Using the scenario below, model the situation using an exponential function and a base of Then, 2 solve for the half-life of the element, rounding to the nearest day. The half-life of an element is the amount of time it takes for the element to decay to half of its initial starting amount. There is initially 551 grams of element X and after 5 years there is 78 grams remaining. A. About 0 days B. About 3285 days C....
5. (0/1 Points) DETAILS PREVIOUS ANSWERS SALGTRIG4 4.6.019. This exercise uses the radioactive decay model. The...
5. (0/1 Points) DETAILS PREVIOUS ANSWERS SALGTRIG4 4.6.019. This exercise uses the radioactive decay model. The half life of strontium-90 is 28 years. How long will it take a 30-mg sample to decay to a mass of 24 mg? (Round your answer to the nearest whole number.) 32 X Y Need Help? ReadIt Tak to Top
1 55. Using the scenario below, model the situation using an exponential function and a base...
1 55. Using the scenario below, model the situation using an exponential function and a base of Then, 2 solve for the half-life of the element, rounding to the nearest day. The half-life of an element is the amount of time it takes for the element to decay to half of its initial starting amount. There is initially 569 grams of element X and after 11 years there is 142 grams remaining A. About 6935 days B. About 2920 days...
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...
A specific radioactive substance follows a continuous exponential decay mode. It has a half-life of 16...
A specific radioactive substance follows a continuous exponential decay mode. It has a half-life of 16 days. At the start of the experiment, 61.7 g is present. Din (a) Lett be the time (in days) since the start of the experiment, and let y be the amount of the substance at time. Write a formula relating y toi. Use exact expressions to fill in the missing parts of the formula Do not use approximations X ? (b) How much will...
Model Exponential Growth and Decay (4.7.38-39) A biologist recorded a count of 300 bacteria present in...
Model Exponential Growth and Decay (4.7.38-39) A biologist recorded a count of 300 bacteria present in a culture after 5 minutes and 1050 bacteria present after 28 minutes. a. To the nearest whole number, what was the initial population in the culture? The initial population was around 219 bacteria b. Rounding to four decimal places, write an exponential equation representing this situation. B(t) 10e 30t c. To the nearest minute, how long did it take the population to double? The...
An isotope of cesium (Cesium-137) has a half-life of 30 years. If 1.0 mg of cesium-137...
An isotope of cesium (Cesium-137) has a half-life of 30 years. If 1.0 mg of cesium-137 disintegrates over a period of 90 years, how many mg of cesium-137 would remain? 14. Thallium-208 has a half-life of 3.053 min. How long will it take for 120.0g to decay to 7.500 15. Element-106 has a half-life of 0.90 seconds. If one million atoms of it were prepared, how many atoms would remain after 4.5 seconds? 16. A 2.5 gram sample of an...
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...
54. Using the scenario below, model the situation using an exponential function and a base of Then, 2 solve for the half-life of the element, rounding to the nearest day. The half-life of an element is the amount of time it takes for the element to decay to half of its initial starting amount. There is initially 551 grams of element X and after 5 years there is 78 grams remaining. A. About 0 days B. About 3285 days C....
5. (0/1 Points) DETAILS PREVIOUS ANSWERS SALGTRIG4 4.6.019. This exercise uses the radioactive decay model. The half life of strontium-90 is 28 years. How long will it take a 30-mg sample to decay to a mass of 24 mg? (Round your answer to the nearest whole number.) 32 X Y Need Help? ReadIt Tak to Top
1 55. Using the scenario below, model the situation using an exponential function and a base of Then, 2 solve for the half-life of the element, rounding to the nearest day. The half-life of an element is the amount of time it takes for the element to decay to half of its initial starting amount. There is initially 569 grams of element X and after 11 years there is 142 grams remaining A. About 6935 days B. About 2920 days...
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...
A specific radioactive substance follows a continuous exponential decay mode. It has a half-life of 16 days. At the start of the experiment, 61.7 g is present. Din (a) Lett be the time (in days) since the start of the experiment, and let y be the amount of the substance at time. Write a formula relating y toi. Use exact expressions to fill in the missing parts of the formula Do not use approximations X ? (b) How much will...
Model Exponential Growth and Decay (4.7.38-39) A biologist recorded a count of 300 bacteria present in a culture after 5 minutes and 1050 bacteria present after 28 minutes. a. To the nearest whole number, what was the initial population in the culture? The initial population was around 219 bacteria b. Rounding to four decimal places, write an exponential equation representing this situation. B(t) 10e 30t c. To the nearest minute, how long did it take the population to double? The...
An isotope of cesium (Cesium-137) has a half-life of 30 years. If 1.0 mg of cesium-137 disintegrates over a period of 90 years, how many mg of cesium-137 would remain? 14. Thallium-208 has a half-life of 3.053 min. How long will it take for 120.0g to decay to 7.500 15. Element-106 has a half-life of 0.90 seconds. If one million atoms of it were prepared, how many atoms would remain after 4.5 seconds? 16. A 2.5 gram sample of an...
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