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7.) The August 1978 issue of National Geographic described the 1964 find of bones of a newly discovered dinosaur weighing 170 pounds, measuring 9 feet, with a 6-inch claw on one toe of each hind foot. The age of the dinosaur was estimated using potassium-40 dating of rocks surrounding the bones. a. Potassium-40 decays exponentially with a half-life of approximately 1.31 billion years. Use the fact that after 1.31 billion years a given amount of potassium-40 will have decayed to half the original amount to show that the decay model for potassium-40 is given by A= Ane 0.52912t where t is in billions of years. b. Analysis of the rocks surrounding the dinosaur bones indicated that 94.5% of the original amount of potassium-40 was still present. Let A = 0.945A0 in the model in part (a) and estimate the age of the bones of the dinosaur.

7.) The August 1978 issue of National Geographic described the 1964 find of bones of a newly discovered dinosaur weighing 170 pounds, measuring 9 feet, with a 6-inch claw on one toe of each hind foot. The age of the dinosaur was estimated using potassium-40 dating of rocks surrounding the bones. a. Potassium-40 decays exponentially with a half-life of approximately 1.31 billion years. Use the fact that after 1.31 billion years a given amount of potassium-40 will have decayed to half the original amount to show that the decay model for potassium-40 is given by A= Ane 0.52912t where t is in billions of years. b. Analysis of the rocks surrounding the dinosaur bones indicated that 94.5% of the original amount of potassium-40 was still present. Let A = 0.945A0 in the model in part (a) and estimate the age of the bones of the dinosaur.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Radioactive Substance Decay Rate, k Half-Life 5.5% per year = 0.055 21, Tritium Кгуpton-85 6.3% per year =-0.063 22. 23 Radium-226 1620 years 36 24. Uranium-238 4560 years 25 Arsenic-74 17.5 days 26. Calcium-47 113 hours 27.) The August 1978 issue of National Geographic described the 1964 find of bones of a newly discovered dinosaur weighing 170 pounds, measuring 9 feet, with a 6-inch claw on one toe of each hind foot. The age of the dinosaur was estimated using potassium-40 dating of rocks surrounding the bones. a. Potassium-40 decays exponentially with a half-life of approximately 1.31 billion years. Use the fact that after 1.31 billion years a given amount of potassium-40' will have decayed to half the original amount to show that the decay model for potassium-40 is given by A= Age where t is in billions of years. -0.52912t b. Analysis of the rocks surrounding the dinosaur bones indicated that 94.5% of the original amount of potassium-40 was still present. Let A = 0.945A, in the model in part (a) and estimate the age of the bones of the dinosaur. Use the exponential decay model, A 28-31. Round answers to'one decimal place. Agek, to solve Exercises %3D 28. The half-life of thorium-229 is 7340 years. How long will it take for a sample of this substance to decay to 20% of its original amount? 291 The half-life of lead is 22 vears How long will it take for a
Transcribed Image Text:Radioactive Substance Decay Rate, k Half-Life 5.5% per year = 0.055 21, Tritium Кгуpton-85 6.3% per year =-0.063 22. 23 Radium-226 1620 years 36 24. Uranium-238 4560 years 25 Arsenic-74 17.5 days 26. Calcium-47 113 hours 27.) The August 1978 issue of National Geographic described the 1964 find of bones of a newly discovered dinosaur weighing 170 pounds, measuring 9 feet, with a 6-inch claw on one toe of each hind foot. The age of the dinosaur was estimated using potassium-40 dating of rocks surrounding the bones. a. Potassium-40 decays exponentially with a half-life of approximately 1.31 billion years. Use the fact that after 1.31 billion years a given amount of potassium-40' will have decayed to half the original amount to show that the decay model for potassium-40 is given by A= Age where t is in billions of years. -0.52912t b. Analysis of the rocks surrounding the dinosaur bones indicated that 94.5% of the original amount of potassium-40 was still present. Let A = 0.945A, in the model in part (a) and estimate the age of the bones of the dinosaur. Use the exponential decay model, A 28-31. Round answers to'one decimal place. Agek, to solve Exercises %3D 28. The half-life of thorium-229 is 7340 years. How long will it take for a sample of this substance to decay to 20% of its original amount? 291 The half-life of lead is 22 vears How long will it take for a
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