Nuclear power plants use Uranium-239 as a power source. U-239 has a half-life of about 2 years.a) Complete the chart for the amount of 1000mg sample that will be left after 10 years.# of half lifeperiods0Amount of U-239 remaining100015002Years024#N810b. Graph the relation.c. Write an equation to model the growth.d. How much will remain after 25 years?

Given the uranium isotope U-239 has a half life of about 2 years. (a) Given the chart for the amount…

Answered: Nuclear power plants use Uranium-239 as…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Year 1955 1958 1960 1961 1962 1965 1968 1975 1980 1986 1990 Rabbit population 650 2180 5300 8200 12400 35500 66300 91600 92900 92800 93100 a. Do you think this model will work for a portion of the data? If so, which portion? Explain. b. Create a model using y=c(e)kx to fit this portion of the data. c. Find an equation for the rate of change for your model.
The table below is a record of the number of miles driven between stops for gas and the amount of money spent to fill up the gas tank in Sophia’s car over several months. Sophia’s Gas Fill Up LogMiles Driven, x 346 309 336 310 325 274 324Cost to Fill up ($), y 27.69 25.08 25.74 24.56 24.94 22.05 26.28 Step 1 of 2: Find an equation of the least-squares regression line. Round your answer to three decimal places, if necessary.
part D E F
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1. Complete the chart. 1 2 12 365 Continuous A. P= $2500, . r= 6%, 40 years
3. You have the information that the number of cases of influenza on Dec 31 (day 0) was 29 and on day 5 there were 32 cases. Define variables: t = time in days since Dec 31C = number of cases a. Assume this situation is linear. Write a formula for this situation. C=·t+29 c. Assume this situation is exponential. Write a formula for this situation. d. Use your exponential formula to determine when the number of cases will hit 128
200 6. 10 Time (weeks) The graph above shows the accumulation of time, in hours, a student spent studying over a 10-week penod. The graph can be descnbed by the equation h= 1.9w, where h is the total hours spent thadymg and w is the number of weeks the student had been studying. What is the average rate of chamge, in hours per week, in the total time the student spent studying during the 10 weeks? hours per week Total Time Spent Studying 三宫

25. (a) Determine whether y = 3. 7* is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient = Exponential Function initial value = y-intercept = exponent = b = (b) Determine whether y = is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Exponential Function initial value Linear Function Power Function coefficient = slope = y-intercept = exponent = (c) Determine wheter y = 3- (r+10)-7x is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient = Exponential Function initial value = y-intercept = exponent = b = (d) Determine wheter y = 12" · 997 is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient =…
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The air pressure in the cabin of fighter jet decreases as the plane ascends. Air Pressure in pounds per Altitude in 10,000 of feet square inch 1 10.200 2 6.375 3.984 4 2.490 A. The change is linear. The constant rate of change is about -3.825 . B. The change is linear. The constant rate of change is 0.0003825. C. The change is exponential. The common ratio is about 0.625. D. The change is exponential. The common ratio is about 1.6. Interpretation: A. The air pressure decreases by about 37.5% every 10,000 feet of altitude. B. The air pressure decreases 3.825 pounds per square inch per 10,000 feet of altitude. O C. The air pressure increases by about 62.5% every 10,000 feet of altitude. D. The air pressure decreases 0.625 pounds per square inch per 10,000 feet of altitude.
Consider the following table that gives the population of City A from Year 1 to Year 6. Complete all parts (a-k) to this question. Part 1: Fill-in the last two columns in the table. List your answers as a - j for the chart and answer the question k below. Round growth rate to the nearest ten-thousandth (4 decimal places). Population of City A, Year 1 to year 6 Year Population (P) Change ΔP{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∆</mo><mi>P</mi></math>"} Growth Rate ΔPP{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>∆</mo><mi>P</mi></mrow><mi>P</mi></mfrac></math>"} 1 315,422 N/A N/A 2 320,421 a. b. 3 321,765 c. d. 4 322,162 e. f. 5 331,165 g. h. 6 331,200 i. j. Part 2: k. Does it make sense to fit this data with an exponential model? Why or why…

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