The figure shows an open box with a square base and a partition down the middle. The box is to have a volume of 400 cubic inches. Express the amount of material needed to construct the box, A, as a function of the length of a side of its square base, x.

Q: Express the function graphed on the axes below as a piecewise function.

A: The graph is,

Q: Express the gross salary G of a person who earns $14 per hour as a function of the number x of hours…

A: Given: Earning per hour = $14       To determine: Gross salary as a function of the number of…

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Let the length of the rectangular area=x and the width=ySo, perimeter=2(x+y)=600or, x+y=300or,…

Q: volume

A: Please refer to the image below

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: A parachutist is falling with speed 176 ft/s when his parachute opens. If the Wv? lb, where W is the…

A:

Q: A rectangular building lot is three times as long as it is wide. Find a function that models its…

A: A rectangular building lot is three times as long as it is wide. Let w be the width of the…

Q: Write the height h of the rectangle as a function of x.

A: In two-dimension cartesian-coordinate system, the value of a function at a point represented by the…

Q: The function

A: Given, the function f : ℂ→ℂ defined by                   f(z)=ez+e-zhas

Q: Graph the function Why is ƒ(x) called the integer part of x?

A:

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 area of a rectangular floor is 1000 square feet. Express the perimeter of the floor, P, as a…

A: Let x be the width and y be the length of the rectangular floor. Given that the area of a…

Q: The projected population of the United States for the years 2025 through 2055 can be modeled by  P…

A: States for the years 2025 through 2055 can be modeled by  P = 307.58e0.0052t,  where P is the…

Q: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

A: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

Q: The perimeter of a rectangle is 422 inches. If the rectangle is x inches long, find a function for…

A: Let us assume a rectangle with length x inches and breadth y inches.

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: coming year. Total profit from planting xj acres at farm j is expressed by the function P(x,, X2,…

A: profit = 235x1 + 540x2 + 252x3 - 525000 we are given that x1 = 300 x2 = 600 x3 = 450

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Consider the dimensions of rectangle be x and y. and Perimeter of rectangle is 600 feet. we know…

Q: Is the function g(x) = x2 one-to-one?

A: Take x=2. g(2)=22=4. Take x=-2. g(-2)=(-2)2=4

Q: You have 800 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

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: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Plot the fallawinet function:-

A:

Q: A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length…

A: We have to write the total cost C of construction as a function of h.

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: Express the gross salary G of Jackie, who earns $15 per hour, as a function of the number of hours…

A: topic - functions

Q: The height of a ball in feet, x seconds after it is thrown into the air is modeled by the function…

A: GivenThe height of ball in feet , x seconds after it is thrown into air is modelledby the function…

Q: A shipping crate has a square base with sides of length x feet, and it is half as tall as it is…

A: Square base, with sides of length x feet, and it is half as tall as its wide.

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

A:

Q: 19

A:

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

A:

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

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: The monthly profit, in dollars, of a company that sells a t-shirts is given by the function P(x) = 1…

A: The given question as belonging to the calculus in which application of derivative so we have to…

Q: Find the value of f(14) from the function.

A:

Q: Differentiate the function.

A: Given R(a)=3a+12

Q: Describe the transformation of the root function f(x) = x² to the function g(x) = -(x – 2)2 + 1

A: Two functions are given by: f(x) = x2  and  g(x) = -(x - 2)2 + 1  Here, f(x) transforms to g(x). We…

Q: Find, if they exist, the extrema of the function:

A: Given that  f(x,y) = x2+y2-1 Subject to x - y = 2 ⇒g(x,y)=x-y-2 Let us find  <fx,fy> Finding…

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: The usual boat fare rate from Boracay to Private Island (which is a 4-km ride) is USD 6.0 So, if a…

A:

Q: A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks A 12-inch tall…

Q: Rick's lumberyard has 240 yd of fencing with which to enclose a rectangular area. If the enclosed…

A:

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: -20 in.- 14 in.

A: Question is solved.

Q: What is meant by linear function in reference to algebra?

A:

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: Express the area A of a circle as a function of its radius, r. Determine the area of a circle whose…

A:

Q: Write a piecewise-defined function to model the monthly cost C(x) (in $) as a function of the number…

A: The Price wise function  is given below.

Q: The figure shows a package whose front is a square. The length plus girth of the package is 108…

A: Given figure is,