the passenger section of a train has width 2x-7, length 2x+3, and height x-2, with all dimensions in metres
An international airline has a regulation that each passenger can carry a suitcase having the sum of its width, length and height less than or equal to 123 cm. Find the dimensions of the suitcase of maximum volume that a passenger may carry under this regulation. Length = _______ Width = _______ Height = _______
1) An airline requires that the total outside dimensions (length + width + height) of a checked bag not exceed 56 inches, Suppose you want to check a bag whose height equals its width. What is the largest volume bag of this shape that you can check on a flight? a) Length (in)? b) Width(in)? c) Height (in)? 2) Assume that It costs Apple approximately C(x) = 16,900 + 100x + 0.01x^2? dollars to manufacture x 32G8 iPods in a...
A box currently has length and width of 10 inches and a height of 3 inches. Use calculus to determine at what rate the height changes, if the length and width are decreasing at a rate of 2 inches per minute and the volume of the box is constant. (6 points)
Solve the problem. 7) Each day the commuter train transports x passengers to or from the city at $1.75/passenger. The daily fixed cost for running the train is $1200. Write an equation that relates the daily profit, P, in dollars to the number of passengers each day. Then use the equation to find the daily profit when the train has 920 passengers in a day. 7) 8) Each month a beauty salon gives x manicures for $12.00/manicure. The cost to...
I'm not sure about b,c,d. Is there anyone can help with this
question?
A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0)4 metres. The volume of water is given by Vt)(t) Over time, the sides of the base are decreasing ata ateof0.05 m/s and the water is leaking from...
13. Maximum volume box- Suppose an airline policy states that all baggage 140 i. what arethe dimensions and volume of a square-based box wit must be box-shaped with a sum of length, width, and height not exceeding 140 in. What are the dimensions and volume of a square-based box greatest volume under these conditions?
13. Maximum volume box- Suppose an airline policy states that all baggage 140 i. what arethe dimensions and volume of a square-based box wit must be...
3. The length of a box is 5 m longer than the width, and the height is 3 m shorter than the width. The volume of the prism is 100 ml. Determine the possible dimension(s) of the box. A complete algebraic solution and analysis is required for full credit.
A box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
10. A rectangle has a length that is 3 cm longer than its width. If x represents the width of the rectangle, which expression represents the perimeter of the rectangle? a. 4x + 3 b. 4x + 6 c. 2x + 3 d. 2x + 6
a box has a width of 3 feet. the height is unknown, but you know the length is 4 feet more than the height. the volume of the box is 135 cubic feet. find the box’s height