A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle as a function of x. B. Express the area of the circle as a function of x. A. C(x) = 8x 16x B. A(x) =

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

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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: 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…

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Q: Sketch a rough graph of the function without using acalculator.   y=   In (x  -1 )

A:

Q: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

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

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A: The function f(x) will have a removal discontinuity at x = a when the function will have a finite…

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Q: Select the graph of the function. 2x +1 x<0 f(x)= 1-x x20

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Q: 5. x²y3 5

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Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Differentiate h(x) with respect to x to get h'(x)=5(x4-1). Equate h'(x) to 0 and find the values of…

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

A: Given,f(x)=10000+5000x Where x is the number of siblings and f(x) is the financial aid of the…

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Q: Find the slope of the graph of the function at the given point.

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

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Q: A tree of height y meters has, on average, B branches, where B=y−5. Each branch has, on average, n…

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Q: The height of a right triangle is 44 feet more than three times the length of its base. Express the…

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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: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: The amount of fencing required would be equal to the sum of length of all the sides including the…

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

Q: A landowner wishes to use 6 miles of fencing to enclose an isosceles triangular region of as large…

A: The isosceles triangular region must have fencing of 6 miles and we must have largest possible area.…

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

A: Given that: The hypotenuse of a right isosceles triangle is made into a circle C.Length of legs of…

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

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

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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: 1, the area A of a circle as a function of its diameter d; the area of a circle of diameter 4 in.

A: Area of the circle = πr2............................................(i)                   radius =…

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: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: To determine function H that represents total health care expenditures in year x

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A: Given function, f(x)=1.6x+8.3 Where x is in months.

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=?

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 4)…

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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…

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Q: What do all members of the family of linear functions f(x) = 1+m(x+3)have in common? Sketch…

A: Given: The linear function, fx=1+mx+3.

Q: You want to build a pen for your new puppy, and you want to put it next to your barn. You have 200…

A: Draw the diagram of the pen for the puppy.

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…