A radioactive substance with original mass of 20 grams decays (or reduces in mass) according to the data inthe table belowTime, t (years)Mass, m (grams)24518.1 16.3 15.5(a) Predict whether a linear or exponential model will fit this data better. Justify your prediction.0201191012207.2402.6501.5(b) Determine the equation of the linear model in the form m(t) = at+b where a and b are constants(c) Find the residuals plot on your calculator for the linear model and reflect on your prediction in part(a). Was it accurate? Why or why not? (d) Determine the equation of the exponential model in the form m(t) = axb' where a and b areconstants(e) Using your equation from (d) Calculate the mass remaining after 100 years of decay(g) Using the exponential model that you determined in part (d), calculate the average annualpercentage decrease in the mass of the radioactive substance.

To analyze the given data and answer the questions, we'll first examine whether a linear or…

Answered: A radioactive substance with original…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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ul T-Mobile 12:02 AM 100% 4 GEOVANNY ENRIQ... Name Date Per. Situations to Equations Homework Write an equation in y = mx + b form to describe each situation. Identify the starting point (initial value). That's b. Identify the growth. This one will often say ". o Is the growth positive or negative? • You can write your equation as y = mx + b or y = b + mx . per ". That's mx. mx = -27x b = 124 EXAMPLE: A store's sales of music CDs has decreased by 27 per year. There were 124 CDs sold in the first year. y = -27x + 124 1. A Norfolk pine is 18 inches tall and grows at a rate of 1.5 feet per year. 2. An airplane at an altitude of 3000 feet descends at a rate of 500 feet per mile. 3. An overweight Siamese cat weighs 20 pounds, and is on a diet to lose 1 pound per month. 4. An online store charges $3 per order plus $0.99 per book for shipping. 5. You have saved $50 toward the cost of a new television. You plan to save $5 more each week. 6. A rental company charges $8 per hour for a mountain…
I have entered this question twice, and am still not getting the correct answers, please help. Complete the table by computing the absolute and relative change. Time Value Absolute Change Relative Change 0 12.58 XXXXX XXXXX 1 15.6 2 19.34 3 23.98 4 29.74 5 36.88 (i) Which of the following statements are true? Select all that apply.A. The data suggest that an exponential model would be appropriate.B. The data suggest that a linear model would be appropriate.C. The data increase by a fixed amount each year.D. The data show a constant growth rate.E. No model can be inferred from the data provided. (ii) Use the data from the table to construct the appropriate model to predict the value at future times. What value does your model predict when the time is 7.5?(Express your answer rounded correctly to the nearest hundredth.)Answer =
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
The following table shows the number of internet hosts in millions for years since 1995. Year Internet hosts 2 21.819 5 72.398 8 171.638 11 433.199 14 732.74 Let H(t) be the number of internet hosts in millions for t years since 1995.An exponential model for the data is H(t) =. Estimate the number of hosts in 2014? millions Use the model to predict the year in which the number of hosts will be 977 million.
Can you do the problems even if it's just one at a time?
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Year Population (millions) 1960 12.1 1970 13.2 1980 14.3 1990 15.8 2000 17.0 1. Sketch the data and the curve of the best fit on the same graph. You need to adjust time (start counting time from 1960). 2. Find the equation of the best exponential fit relating P (country’s population in millions of people) with time t (years after 1960). 3. What is the population’s annual percentage growth rate?
Use the LOGISTIC regression option to find a logistic growth model that best fits the data in the table given below. Round any values in your model to 3 decimal places. Using this model, what is the predicted value at = 4.57 Round your answer to the nearest tenth. I f(z) 0 2.2 0.5 2.9 1 3.9 1.5 4.8 2 6.4 3 9.3 4 12.3 5 15 16 16.2 7 17.3 8 17,9
1 YouTube .l 8:31 PM 10% 1 A cup of soup is left on a countertop to cool. The table below gives the temperatures, in degrees Fahrenheit, of the soup recorded over a 10-minute period. Time in Minutes (x) Temperature in °F (9) 180.2 165.8 146.3 135.4 127.7 110.5 4 8. 10 Write an exponential regression equation for the data, rounding all values to the nearest thousandth.

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