Abox has a base where the length is twice the width. The height of the box is three times the width. Find a function for the surface area in terms of the Volume

Q: David has available 480 yards of fencing and wishes to enclose a rectangular area. (a) Express the…

A: Given:

Q: The height of a right cylinder is 4r, where r is the radius. Write a function f in simplest form…

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:

Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .0614t , where t is the…

A: The explanation of the solution as follows:

Q: The volume V of a right circular cylinder of height h and radius r is V = πr 2 h. If the height is…

A: Given: The volume of a right circular cylinder is, V=πr2h . Here, h is the height of the cylinder…

Q: Find the area of a triangle bounded by the y-axis, the line f(x)=10−2x, and the line perpendicular…

A: y=10-2x here coefficient of x is -2 so the slope of the line is m=-2 and the perpendicular line…

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

A:

Q: The owner of a video store has determined that the profits P of the store are approximately given by…

A:

Q: The height of a right cylinder is 2r , where r is the radius. Write a function f in simplest form…

A: Since, it is given that the height of a right cylinder is 2r.Our Aim is to write a function f in…

Q: David has available 400 yards of fencing and wishes to enclose a rectangular area. ​(a) Express the…

A: David has 400 yards of fencing and he wishes to enclose a rectangular area.

Q: b. Reflected over the x-axis, vertical compression of 2/3 and moved up 5

A: Here we have to write the equation of quadratic transformation of " Reflected over the x-axis,…

Q: An open-top box with a square base is to be constructed by taking a 42 by 42 square piece of…

A:

Q: Use the Cobb-Douglas production function to find the production level when x = 700 units of labor…

A:

Q: The surface area of an enclosed rectangular prism with a square base is 144 square centimeters.…

A: Suppose length , breadth  and height of rectangular solid(Cuboid) be l , b and h .Then ; Surface…

Q: The volume V of a right circular cone is V = (1/3)πr 2 h. If the height is twice the radius, express…

A: We have to express the volume V of a right circular cone as function of r if height is twice the…

Q: which shows the function f(x)=7x after a vertical translation down 4 units

A:

Q: Find the maximum revenue for the revenue function R(x) = 398x − 0.7x2.  (Round your answer to the…

A:

Q: The height of a right cylinder is 3r, where r is the radius. Write a function f in simplest form…

A:

Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A:

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: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: The volume V of a right circular cone is If the height is twice the radius, express the volume V as…

A: The height is twice the radius

Q: The volume V of a right circular cylinder of height h and radius r is V= π r 2h. If the height is…

A: Volume of a right circular cylinder = V = π r2 h where r is radius of cylinder  and h is height of…

Q: The length of a rectangle is 3 inches longer than 4 times the width (x). Which is the area (y)…

A: We have to find area y as function of x if length of the rectangle is 3 inches longer than 4 times…

Q: Find the maximum revenue for the revenue function  R(x) = 392x − 0.6x2.  (Round your answer to the…

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: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 10 1 and the line perpendicular…

A: A triangle bounded by the y axis, the line f(x)=10-13x, and the line perpendicularto f(x) that…

Q: Find the maximum revenue for the revenue function R(x) = 395x − 0.9x2. (Round your answer to the…

A:

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: Find the points on the graph of the function f that are closest to the point (a, b) by minimizing…

A:

Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: Given:- A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by…

Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: Topic - functions and rectangle

Q: The length of a rectargle is 3 inches lorger than 4 times the width (x). Which is the arealy…

A: The length of rectangle is 3 inches longer than 4 times the width.

Q: The graph of f(x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

A:

Q: Find the maximum revenue for the revenue function R(x) = 376x − 0.7x2. (Round your answer to the…

A:

Q: What is the parent function for h = 1.34√l? ________________________ How has it been transformed…

A: Given: The function hl=1.34l, To find: The parent function and its type of transformation.

Q: The height of a cylinder is four times its radius. Find a function that models the volume V of the…

A: We have to find the function that models the volume V of the cylinder in terms of its radius r where…

Q: find the maximum revenue for the function R(x)=356-0.9x^2

A:

Q: maximum revenue for the revenue function

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:

Q: Find the maximum revenue for the revenue function  R(x) = 367x − 0.6x2.  (Round your answer to the…

A:

Q: The volume of an open rectangular box is 8ft3. The length of its base is twice its width. Express…

A:

Q: Find the maximum revenue for the revenue function R(x) = 367x − 0.7x2. (Round your answer to the…

A:

Q: What function should be used to maximize the volume of a closed box whose surface area is equal to…

A: From the given figure, the volume of box is V=x2 h. Given that the surface area of the box is 16.…

Q: The length of a rectangle is 3 inches longer than 4 times the width (x). Which is the area (y)…

A:

Q: - The parent function f(x)= Vx is translated 8 units left, reflected across the x-axis, and…

A: ANSWER : g(x) = -3√(x+8)   EXPLANATION :