Manatee population. In January 2005, 3143 manatees were counted in an aerial survey of Florida in January 2011, 4834 manatees were counted. ( Source · Florida Fish and Wildlife Conservation Commission.) a. Using the year as the x -coordinate and the number of manatees as the y -coordinate, find an equation of the line that contains the two data points. b. Use the equation in part (a) to estimate the number of manatees counted m January 2010. c. c) The actual number counted in January 2010 was 5067. Does the equation found in part (a) give an accurate representation of the number of manatees counted each year? Why or why not?
Manatee population. In January 2005, 3143 manatees were counted in an aerial survey of Florida in January 2011, 4834 manatees were counted. ( Source · Florida Fish and Wildlife Conservation Commission.) a. Using the year as the x -coordinate and the number of manatees as the y -coordinate, find an equation of the line that contains the two data points. b. Use the equation in part (a) to estimate the number of manatees counted m January 2010. c. c) The actual number counted in January 2010 was 5067. Does the equation found in part (a) give an accurate representation of the number of manatees counted each year? Why or why not?
Solution Summary: The author explains the equation of the line that models the Manatee population with the year.
Manatee population. In January 2005, 3143 manatees were counted in an aerial survey of Florida in January 2011, 4834 manatees were counted. (Source· Florida Fish and Wildlife Conservation Commission.)
a. Using the year as the x-coordinate and the number of manatees as the y-coordinate, find an equation of the line that contains the two data points.
b. Use the equation in part (a) to estimate the number of manatees counted m January 2010.
c. c) The actual number counted in January 2010 was 5067. Does the equation found in part (a) give an accurate representation of the number of manatees counted each year? Why or why not?
find the zeros of the function algebraically:
f(x) = 9x2 - 3x - 2
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
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