**Radioactive Decay Observation**A 200 mg sample of a radioactive substance is observed as it decays. The following table shows the mass remaining at various times, using an exponential decay model to calculate the half-life of the substance. Calculation should employ the least squares method. (See Section 6.7 for further guidance. Round your answer to the nearest day.)| Time (days) | Mass (mg) ||-------------|-----------|| 0 | 200 || 30 | 170 || 60 | 145 || 90 | 124 |To analyze this data, observe that as time progresses, the mass of the substance decreases, demonstrating an exponential decay pattern. Use this table to find the half-life by fitting an exponential decay curve using the least squares method.

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A 200 mg sample of a radioactive substance is observed as it decays. The table shows the mass remaining at various times. Assuming an exponential decay model, use least square to find the half-life of the substance. (See Section 6.7. Round your answer to the nearest day.) Time (days) 30 60 90 Mass (mg) 200 170 145 124 days

A 200 mg sample of a radioactive substance is observed as it decays. The table shows the mass remaining at various times. Assuming an exponential decay model, use least square to find the half-life of the substance. (See Section 6.7. Round your answer to the nearest day.) Time (days) 30 60 90 Mass (mg) 200 170 145 124 days

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Radioactive Decay Observation**

A 200 mg sample of a radioactive substance is observed as it decays. The following table shows the mass remaining at various times, using an exponential decay model to calculate the half-life of the substance. Calculation should employ the least squares method. (See Section 6.7 for further guidance. Round your answer to the nearest day.)

| Time (days) | Mass (mg) |
|-------------|-----------|
| 0 | 200 |
| 30 | 170 |
| 60 | 145 |
| 90 | 124 |

To analyze this data, observe that as time progresses, the mass of the substance decreases, demonstrating an exponential decay pattern. Use this table to find the half-life by fitting an exponential decay curve using the least squares method.

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