The table gives methane gas emissions inmillions of metric tons. The quadratic modely = 0.0429x² - 9.73x + 703 approximates theemissions for these years. In the model, xrepresents the number of years since 2008, sox = 0 represents 2008, x = 1 represents 2009,and so on. Complete parts a and b.Year20082009201020112012Millions of MetricTons of Methane703.0693.3683.7674.2664.8a. According to the model, what would emissions be in 2016?According to the model, in 2016 the emissions would be 627.90 million metric tons.(Round to the nearest tenth as needed.)b. Find the nearest year beyond 2008 for which this model predicts that emissions will reach 500 million metric tons.The nearest year beyond 2008 for which the model predicts that the emissions will reach 500 million metric tons is(Round down to the nearest year.)

Answered: Image /qna-images/answer/218f718a-d700-4568-8a13-a7318bca8662.jpg

Answered: The table gives methane gas emissions…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Predict the residential retail sale of electricity in 2025. Round to the nearest billion of kilowatt-hours. How many predicted billions of kilowatt-hours? NOTE: You may get the wrong answer if you do not use the quadratic model with coefficients rounded.
Write the equation of a quadratic function with roots at -6 and -5, and a vertex at (-5.5, -0.25). Write the equation in standard form. O y=x +5.5x+0.25 O y =x +9x+27 O y =x +11x+ 30 O y =x +1lx+5 O There is no correct answer given.
Predict the residential retail sale of electricity in 2021. Round to the nearest billion of kilowatt-hours. NOTE: You may get the wrong answer if you do not use the quadratic model with coefficients rounded as described above. ____________ billion of kilowatt-hours
The data in the table below represents the square footage and rents (dollars per month) for apartments in a section of a large city. Complete parts (a) through (c) below. 773 826 792 806 900 795 Square Footage, x 675 Rent per Month, R 1665 1755 1775 1765 1760 1860 1785 (a) Using a graphing utility, draw a scatter diagram of the data treating square footage as the independent variable. What type of relation appears to exist between square footage and rent? Which graph below is a scatter diagram of the data? O A. Ax 920- 660- 1660 HI Q 1880 Q RG O B. Ax 920- 660++ 1660 1880 Q Which sentence below best describes the relation between square footage and rent? ← O A. There does not appear to be any relation between square footage and rent. O B. There appears to be a quadratic relation between square footage and rent. O C. There appears to be a linear relation between square footage and rent. OC. AR 1880- 岳 1660+ 660 920 Q Q O D. AR 1880- 1660 660 920
The table gives methane gas emissions in millions of metric tons. The quadratic model y = 0.0429x² - 9.73x + 706 approximates the emissions for these years. In the model, x represents the number of years since 2008, so x = 0 represents 2008, x = 1 represents 2009, and so on. Complete parts a and b. Year 2008 2009 2010 2011 2012 Millions of Metric Tons of Methane 706.0 696.3 686.7 677.2 667.8 a. According to the model, what would emissions be in 2014? According to the model, in 2014 the emissions would be 649.2 million metric tons. (Round to the nearest tenth as needed.) b. Find the nearest year beyond 2008 for which this model predicts that emissions will reach 500 million metric tons. The nearest year beyond 2008 for which the model predicts that the emissions will reach 500 million metric tons is (Round down to the nearest year.)
Write the equation of the quadratic function whose graph is shown. Ay 10 8 (3,6 + 08842b (5, 2) 810 X E ○ A. y=-(x-3)²+6 ○ B. y = (x-3)²+6 y= ○ C. y=-(x+3)²+6 OD. y= -2(x-3)²+6
d. Use regression in Desmos to find the best linear function of the form y = mx + b to model the data. Write down the function that Desmos gives you (use the correct variables in your written answer). Use regression in Desmos to find the best quadratic function of the form y = a(x – k)² + h to model the data. Write down the function that Desmos gives you е. (use the correct variables in your written answer). f. Do you think your linear model, quadratic model, or your exponential model is a better fit to the data? Explain your reasoning.
A quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of 7 meters above the ground and reached a maximum height of 51.1 meters above the ground 3 seconds after the launch. How many seconds after the launch does the model estimate that the projectile will return to a height of 7 meters? A. 3 B. 6 C. 7 D. 9
X 10. Write the equation of the quadratic graphed below -10- 5 10 -10 (0,5) -2,3) 0 -5 --10- (16) 5 Sile
The table below shows data on the number of employees that a small company had from 1975 to 2000. Year 1975 1980 1985 1990 1995 2000 # of 50 65 70 60 55 44 Employees Let 0 represent the year 1975. Find a quadratic model for this function. .2 y = ax + bx + c Using the above equation, fill in the coefficients for a, b, and c rounding all decimals to the hundredths place.
A football is passed through the air until it hits the ground. The height h of the ball(in feet) at any given time t is modeled the quadratic equation h = - + 12t + 6. What will the height of the ball be after 5 seconds in the air? 41 feet 52 feet 26 feet O 31 feet %23 2 30°F Partly sunny o search Insert Del F12 Prt Sc F10 F11 F9 F7 F8 F6 F5 Backspace %23 6 3 4 CO

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS