The gas mileage m x (in mpg) for a certain vehicle can be approximated m x = − 0.028 x 2 + 2.688 x − 35.012 , where x is the speed of the vehicle in mph. a. Determine the speed at which the car gets its maximum gas mileage. b. Determine the maximum gas mileage.
The gas mileage m x (in mpg) for a certain vehicle can be approximated m x = − 0.028 x 2 + 2.688 x − 35.012 , where x is the speed of the vehicle in mph. a. Determine the speed at which the car gets its maximum gas mileage. b. Determine the maximum gas mileage.
Solution Summary: The author calculates the speed at which the car gets its maximum gas mileage approximated by the quadratic equation.
The gas mileage
m
x
(in mpg) for a certain vehicle can be approximated
m
x
=
−
0.028
x
2
+
2.688
x
−
35.012
,
where x is the speed of the vehicle in mph.
a. Determine the speed at which the car gets its maximum gas mileage.
Use the fact that the resistance of a wire carrying an electrical current is directly proportional to its length and
inversely proportional to its cross-sectional area.
A 10-foot piece of copper wire produces a resistance of 0.2 ohm. Use the constant of proportionality k
= 0.000833 to find the diameter of the wire.
(Round the answer up to three decimal places.)
0.38 ft
0.73 ft
0.48 ft
0.58 ft
O 0.23 ft
The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a spring is inversely proportional to the square root of m.
a. Write an equation describing the relationship. Use k as the proportionality coefficient.
Edit
b. If a mass of 0.25 kg attached to a spring makes six oscillations per second, find the constant of proportionality, k.
Hz kg1/2
c.Find the number of oscillations per second made by a mass of 0.01 kg that is attached to the spring discussed in part (b)
F(0.01)
Hz
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY