From each corner of a square tin, 12 inches on the side, small squares of side x are removed and the edges are turned up to form an open box. Express the volume V of the box as a function of x. Draw a diagram to aid in your solution to this problem.

Q: A poster is 10 in. longer than it is wide. Find a function that models its area, A, in terms of its…

A: Let the length be l inch and the width be w inch.The length of the poster is 10 inches longer than…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: Suppose that function f cubes x and adds 20. Write an equation for f−1(x).

A: The given function is

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

A:

Q: From a 27-cm by 27-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A: From a 27 cm by 27 cm piece of cardboard, square corners are cut out so that the sides can be folded…

Q: (1 – x) 2

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

Q: From a 6-cm by 6-cm piece of cardboard, square corners are cut out so that the sides can be folded…

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Q: Find the composition of functions

A: Explanation: We need to explain the process of how to find the composition of functions.

Q: A bulk food storage bin with dimensions 3 feet by 4 feet by 5 feet needs to be increased in size to…

A: From the given problem Dimensions are 3feet×4feet×5feet.   So the volume of the bulk food storage…

Q: Graph the functions in excercise

A: Solution:Giveny=9-x

Q: If 1 US dollar is equal to .85 euro, define a function f that takes as input a number of US dollars,…

A: Given: 1 US dollar= 0.85 euro…

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

A:

Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: in this first we will find side of the box and then  Volume of the box = length × breath× height

Q: if x becomes an exponent in a function, as in the photo, what happens with y as x gets bigger?

A:

Q: Find a function that models the area of an equilateral triangle in terms of the length x of one of…

A: The function is equilateral triangle:   Concept used: The Area of equilateral triangle is defined…

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Given: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be…

Q: A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four…

A:

Q: List the points in the graph at which the function is not differentiable.

A:

Q: From a 9-cm by 9-cm piece of cardboard, square comers are cut out so that the sides can be folded up…

A:

Q: From a 27-cm by 27-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: x +81 = 0

A:

Q: A company sells an inexpensive accounting program for home computers. If it can sell x programs per…

A: Revenue per week=Number of items sold per week×Cost per item

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

A:

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure, the…

A: We know that the aluminum sheets are rectangular in shape. The cross sectional area of the gutter is…

Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

A:

Q: A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an…

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

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Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

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Q: From 2008 to 2018, the number d (in thousands) of doctors in the United States can be modeled by the…

A:

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: From a 27-cm by 27-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A:

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: You have 1200 feet of fencing to enclose a rectangular region and subdivide it into three smaller…

A: Let  x and y be length and breadth of rectangular region respectively. Given data, Perimeter of…

Q: Express the volume of a cube as a function of the length of an edge.

A: Cube:

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: A ball projected upwards with a velocity on 128 feet per minute from a height of 5 feet above the…

A:

Q: A mouse wheel is 16 cm im diameter and the base of the wheel is 2 cm off i ground. If the hamster…

A:

Q: A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram.…

A: Let y be the side of the fence that is parallel to the border of the river side and x be the length…

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Please refer the attached image for complete solution.

Q: A function wherein all terms are of the same degree in terms of x and y is known as ________

A:

Q: The line G in the top graph indicates that the __________ of he function is all real numbers.

A: The line 'G' has arrow at both ends. It indicates that line 'G' is limitless in y-direction.  Hence,…

Q: What is the area A of a circle expressed as a function of its circumference C?

A: Our Aim is to express the area A of a circle as a function of its circumference C=?

Q: From a 6-cm by 6-cm piece of cardboard, square IX corners are cut out so that the sides can be…

A:

Q: Give two examples of functions that are not differentiable.

A: The function is non differentiable at points where limit does not exists or infinite

Q: An open-top box is made by cutting equal squares of side x out of the corners of a piece of carboard…

A: Given that an open top box is made by cutting equal squares of side x out of the corners of a piece…

Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $550 per person…

A: Consider the provided question,(a)Given at least 20 people sign up for the cruise and charge for the…

Q: A particular type of cell doubles in number every hour. Which function can be used to find the…

A: To find the function that can be used to find the number of cells.

Q: From a 12-cm by 12-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: Given:  From a 12‐cm by 12‐cm piece of cardboard, square corners are cut out so that the sides can…