24 in. -24 in. I

Q: A rectangle has an area of 19 m2. Find a function that models its perimeter P in terms of the length…

A: Given: Area of rectangle = 19m2 Perimeter = p Length = x

Q: An open box is made from a square piece of cardboard 24 inches on a side by cutting identical…

A: Given: The length of each side of cardboard is 24 in. The identical squares of sides of length x in.…

Q: A certain airine company is offering a promotion for a year, where you pay a one-time fee of $5000,…

A: We will use simple formula for average

Q: A machine produces open boxes using square sheets of metal measuring 12 inches on each side. The…

A: Side of square sheet=12 incheslength of the square cut-out=x inchesSo ,     length of box=12-2x…

Q: an open box with a square base is to be made from a square pece of cardboard 18 incheson a side by…

A: a Let V is the volume of the box ,   V= length x breadth x height=18-2x18-2xx × ⇒ V=18-2x2 x ⇒…

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: From a 18 cm by 18 cm piece of cardboard, square corners are cut so that the sides can be folded up…

Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: A crate open at the top has vertical sides, a square bottom, and a volume of 864 cubic meters. Using…

A: A crate open at the top has vertical sides, a square bottom, and a volume of 864 cubic meters.Let…

Q: -22- 14

A:

Q: The daily profit P ​(in thousands of​ dollars) from the sale of batteries is a function of the…

A:

Q: A baker starts a bakery with an initial investment of $20,000, The cost of producing a dozen loaves…

A: We have to find the total cost, average cost per dozen and domain.

Q: The rectangle shown below has a perimeter of 100 m. Express the area A of the rectangle as a…

A: We need to Express the area A of the rectangle as a function of x.

Q: The figure shows an open box with a square base and a partition down the middle. The box is to have…

A: A square base with partition in between and height of y

Q: A rectangular storage box with an open top has a length of x feet, a width of y feet, and a height…

A: Given: The length of the open top box is x feet. The width of the open top box is y feet. The height…

Q: An open box is made from a square piece of cardboard 30 inches on a side by cutting identical…

A:

Q: The price of a company's stock over the 12-week period at the beginning of 2012 can be approximated…

A: The price of the stock is given by the below function. fx=32.2x0.1

Q: A farmer decides to build a fence to enclose a rectangular field in which he will plant a crop. He…

A: Let width = x feet. Given perimeter=1400 and length = 100 feet. From there we find x.Answer(a): 600…

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Solution is provided below

Q: A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a square, and the…

A:

Q: The perimeter of a rectangle is 190 meters. Express the area A as a function of the length L, and…

A: The solution is given as

Q: 1. The volume of the rectangular bar is 640 cubic units. The width is 3 units more than the height…

A: According to the bartleby guidelines I have to solve only first one inorder to find the solution of…

Q: The figure shows an open box with a square base and a partition down the middle. The box is to have…

A: In the given diagram of open box with a square base and a partition down the middle. The height of…

Q: 14. A rancher has 820 yards of fencing with which to enclose two rectangular corrals, both of the…

A:

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: To find the volume of a box obtained by cutting squares so that the sides fold up to a box. Then…

Q: 8. A farmer has 2000 feet of fence. He plans to build a rectangular pen for his chickens adjacent to…

A: Lets take, the length of the other side is y. Thus, the total length of the three sides of the…

Q: a rectangular plot requires 2000 feet ( in feet ) of fencing to enclose it. if one of its dimensions…

A:

Q: A ladder of length L is placed so that it rests on top of a 4-foot wall and leans against a building…

A:

Q: Sue wants to put a rectangular garden on her property using 80 meters of fencing. There is a river…

A: The length of the side of the rectangle along the river is x metres. Let the width of the…

Q: A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle…

A:

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 13…

A: NOTE: Refresh your page if you can't see any equations. . here the length of the cardboard is…

Q: A farmer has 1,508 feet of fencing available to enclose a rectangular area bordering a river. No…

A:

Q: A rectangle that is x feet wide is inscribed in a circle of radius 11 ft.11 ft.   ​a) Express the…

A:

Q: A rectangular box is to have a square base and a volume of 50 ft3. The material for the base costs…

A:

Q: A rectangle has an area of 16 m2 . Find a function that models its perimeter P in terms of the…

A: Area of the rectangle = 16 m2 The length of one of its sides = x m P = ?

Q: An open-top box with a square base is to be constructed by taking a 36 by 36 square piece of…

A: The dimension of the square base is 36 by 36. Since a square of side length x in is cut out from…

Q: A rectangular schoolyard is to be fenced in using the wall of the school for one side and 150 meters…

A: Hello learner, I can answer the first question as per the guidelines. Please resubmit the other…

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A: k=4

Q: A rectangular box is to have a square base and a volume of 70 ft3. The material for the base costs…

A: Total no of sides=4Area of sides=4xy.sq.ftArea of the base=x2 sq.ftArea of the top=x2 sq.ftVolume…

Q: From a 12 cm by 12 cm piece of can be folded up to make a box. a. Express the volume of the box as a…

A: 12 cm by 12 cm piece of can be folded up to make a box.

Q: he hypotenuse of an isoscles right triangle is to be made into a circle C. Express the area A of C…

A: Given that: An isosceles right triangle, whose hypotenus was made into a circle C.Length of the legs…

Q: From a rectangular piece of cardboard having dimensions a × b, where a = 10 inches and b = 20…

A: The rectangular piece of cardboard is as shown below,

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A:

Q: The figure to the right shows an open box with a square base. The box is to have a volume of 12…

A: From the above figure,the volume of the box=12⇒length×width×height=x2y=12⇒y=12x2…

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A:

Q: You want to make an open box from a rectangular piece of material, 15 centimeters by 9 centimeters,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The perimeter of a rectangle is 250 meters. Part a) Express the area A as a function of the length…

A: Lenght= LLet, width=WPerimeter= 2(L+W)

Q: The average depth of snow, in centimeters, on Alison's driveway one morning can be modeled by a…

A:

Q: A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z…

A:

Q: A ball is thrown in the air from the top of a building. it’s height,and meters above ground,as a…

A:

Q: A builder uses the function g defined by g(2) = 80x + 10000 to estimate the cost g(x), in dollars,…

A: Given:- A builder uses the function g defined by g(x) = 80x+10000 to estimate the cost g(x), in…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.