On the same side of a straight road are two towns, and the townspeople want to build a waste treatment plant along this road. The waste treatment plant is to be built along this road with pipes extending straight to the two towns. Where should the waste treatment plant be built to minimize the total length of the pipe? Waste Treatment Plant Road 1.25 miles 2.125 miles Town A 3.5 miles Town B

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: ( Some airlines have restrictions on the size of items of luggage that passengers are allowed to…

A: Let L be the length of the luggage, W be the width of the luggage, and H be the height of the…

Q: A piece of wire 75m long and needs to be divided into two pieces. One piece will be used to form a…

A: Given data: The total length of the wire is L=75 m. The expression for the total length which is…

Q: A piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: Hi, I am wondering how to do the work for this problem and what the final answer would be. thank you

A: Given that, The total number of bungalows in hotel = 30. They rent 20 of the bungalows, they can…

Q: Another garden is to be created, but it is to have a paved path around the edge. The garden has to…

A:

Q: The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions f the…

A: Given that: Sum of perimeter of an equilateral triangle and a square is 10

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A: A piece of wire 10m long and cut into two pieces One piece is bent into a square and the other is…

Q: . A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: l+2w=1400; l=1400-2w; l=2(700-w); are=lw ; so, lw=2(700-w)w =(1400w-2w^2);  to maximize,…

Q: Departments X, Y, and Z occupy floor space of 80m2, 140m2 and 160m2respectively. If the total rental…

A:

Q: Every year, Danielle Santos sells 29,880 cases of her Delicious Cookie Mix. It costs her $1 per year…

A:

Q: - The sum of the perimeters of an equilateral triangle and a square is 10. Determine the dimensions…

A:

Q: 3. A 5,000 m? rectangular area of a field is to be enclosed by a fence, with a moveable inner fence…

A:

Q: A wire 7 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a…

A:

Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

A:

Q: Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per gigabyte, or part of…

A: Given data: The given flat cost is F=$66. The cost per gigabyte is c=$5. The given budget is B=$80.…

Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should…

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging.…

Q: A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: -2 Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of…

A: We have to find the following.  Let the side of cutting square be x

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A: Let length of interior wall =x length of ourside wall=y total perimeter=270 4x+6y=270 2x+3y=135…

Q: Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per gigabyte, or part of…

A: Fixed for her cell phone plan=$66cost of per gigabyte or part of a gigabyte=$5Her total budget to…

Q: A rancher plans to use an existing stone wall and the side of a barn as a boundary for two adjacent…

A: A rancher plans to use an existing stone wall and the side of a barn as a boundary for two adjacent…

Q: A company that distributes landscape materials buys 4,000 tons of pine mulch a year. The ordering…

A:

Q: You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular…

A: Area of rectangular infinity pool is 1200 square foot. Cost of regular pool wall is $12 per foot,…

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A:

Q: An advertisement consists of a rectangular printed region plus 1-inch margins on the sides and…

A:

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

A:

Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per gigabyte, or part of…

A: Given: Flat cost per month = $66 Cost per gigabyte(or part of gigabyte) = $5       To determine: The…

Q: A Farmer deceives to make three identical pens with 136 feet of fence. The pens will be next to each…

A: NOTE: Refresh your page if you can't see any equations. . x=width y=length  the total fence length…

Q: A boat on the ocean is 9 km from the nearest point on a straight shoreline; that point is 10 km from…

A:

Q: The demand for monorail service in the three districts of Utarek on Mars can be approximated by q =…

A: Given that: The demand for monorail service in the three districts of Utarek on Mars can be…

Q: A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: An oil- producing country can sell 7 million barrels of oil a day at price of $90 per barrel. If…

A:

Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take…

A:

Q: Ricardo wants to cover this 5" by 10" by 8" box with wrapping paper. What is the minimum number of…

A: Solution a: Surface area is s=2lb+2bh+2lh       (1) we have l=5'', b=10'', h=8'' From (1)…

Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take…

A:

Q: piece of wire L m long is cut into two pieces. One piece is bent into a square and the other is bent…

A: According to the given problem , A piece of wire L m long is cut into two pieces and let first piece…

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A:

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A: Let, y b the length of the other side of the cubicles. So, the perimeter of the rectangular…

Q: 16. A farmer wants to fence an area of 2 million square feet in a rectangular field and then divide…

A: Here first we find the total length of fence in terms of the sides. Now using differentiation we…

Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take…

A: The given problem is solved below in detail.

Q: A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: The area of the rectangular land is 1800 sq feet. let the side parallel to divider be y and the side…

Q: 4. A pipeline is to be run to a resort community which is on an island 10 miles from the closest…

A: cost of laying of the pipeline through water =$300/miles cost of laying of the pipeline over land…

Q: Under her cell phone plan, Autumn pays a flat .cost of $66 per month and $5 per gigabyte, or part of…

A:

Q: Farmer Brown wants to upgrade the fencing around his rectanger pasture. He would like to put a stone…

A:

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40…

A: The dimensions for least amount of material is let X is the base edge and height of the box is h X=…

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: An area to fence is of 37.5 million square feet in a rectangular field.

Q: 3. Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18…

A: