For a certain automobile, M(x) = - 015x2 +1.25x - 7.6,30s xs 60, represents the miles...
The fuel economy (in miles per gallon) of a certain car is E(x) = −0.01x2 + 0.54x +10.4, where x is the driving speed (in miles per hour, 20 ≤ x ≤ 60). At what speed is fuel economy greatest? x = mph
A road perpendicular to a highway leads to a farmhouse located 8 mile away. An automobile traveling on the highway passes through this intersection at a speed of 40mph. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 7 miles past the intersection of the highway and the road? The distance between the automobile and the farmhouse is increasing at a rate of miles per hour. (4 points) Consider the function f(x) =...
Your used Chevy's gas mileage (in miles per gallon (mpg) is given as a function M (x) of speed in miles per hour (mph), where M(1) - 2000 Calculate M' (40), M' (50) and M' (60) rounded to two decimal places M' (40) = mpg/mph M' (50) = mpg/mph M' (60) = mpg/mph
The fuel efficiency for a certain midsize car is given by E(V) = -0.018V2 + 1.620V + 3.7 where E(v) is the fuel efficiency in miles per gallon for a car traveling v miles per hour. (a) What speed will yield the maximum fuel efficiency? Round to the nearest mile per hour. mph (b) What is the maximum fuel efficiency for this car? Round to the nearest mile per gallon. mpg Need Help? Read It Watch It Talk to a...
A candy box is made from a piece of cardboard that measures 25 by 14 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. Find the length of the side of the square that must be cut out if the volume of the box is to be maximized. What is the maximum volume? 14 in. A square with a side of length of 2.88 inches...
The value of a certain automobile that is t years old can be modeled by V(t) = 14,448/0.83)'. According to the model, when will the car be worth (a) $60002 (b) $3000? (c) $2000? (a) The cat will be wonh S6000 after yea (Type an integer or a decimal rounded to the nearest tenth as needed)
The concentration of a drug x hours after its administration is approximated by 240x C(x) = 2 -, where C is in milligrams per cubic centimeter and 0 sxs 24. Find the absolu of C(x). 2 + 4 The absolute maximum concentration is (mg/cm® which occurs (Round to the nearest tenth as needed.) hours after adminis. mg/cm which occurs hours after administ The absolute minimum concentration is an integer or a simplified fraction.)
A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 26 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has the following gas mileages. (Round your answers to four decimal places.) (a) less than 20 mpg (b) greater than 28 mpg (c) between 24 and 28 mpg
Please answer in this format: The absolute minimum is ___ at x= ___ The absolute maximum is ___ at x= ___ Thanks! For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum over the interval (1,10]. Identify the absolute minimum. Select the correct choice below fill in any answer boxes within your choice. O A. The absolute minimum is at x = and x = 7. (Round to the nearest integer...
The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean = 41 and standard deviation = 4. Use the TI-84 Plus calculator to answer the following. (a) Find the 21st percentile of the tire lifetimes. (b) Find the 73rd percentile of the tire lifetimes. (c) Find the first quartile of the tire lifetimes. (d) The tire company wants to guarantee that its tires will last at least a certain number of miles....