Question a²b? Find the difference between the maximum and minimum of the quantity , where a and b are two nonnegative numbers such that a +b=9. (Enter your answer as a fraction.)

Q: Find the number in {x E R: – 1< x< 5} such that the difference of twice the number and its square is…

A: Given that: {x∈R: -1≤x≤5}Difference of twice the number and its square is a minimum.

Q: 5(x+2)=17 Solve

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Q: O 8. A company's profit is described by the formula P(x) = - 5x +600x + 15, 000 , where x is the…

A: Explained below

Q: How does doubling the radius of a cylinder affect its volume? The volume is twice as large The…

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Q: 6. The dimensions of a box are 3 cm x 5 cm x 7 cm. The width, length, and height of the box must be…

A: In the question we have to find value of x.

Q: At 8:15 a.m., you pass a police car at 75 mph that is stopped on the freeway. You pass a second…

A: Given that       At 8:15 a.m., you pass the police car at 75mph that is stopped on the freeway. You…

Q: An accepted relationship between stopping distance, d (in feet), and the speed of a car, v (in mph),…

A: d=1.1v+0.06v2 d is the stopping distance and 'v' is the speed of the car Given speed of the car is…

Q: The gas mileage m(v) (in mpg) for a certain vehicle can be approximated by…

A: Find the derivative for m(v).

Q: Solve the following problem. Show details and illustrations. A rectangle is inscribed in a right…

A: Sides of rectangles coincides with the legs of the right angle triangle imply sides which include…

Q: Find a positive number z such that the sum of its reciprocal and 5,324 times its square is as small…

A: This question is related to algebraic equations, we will solve it using given information.

Q: A rocket is launched from a platform. It's height (in meters), x seconds after the launch is modeled…

A:

Q: A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square…

A: Length of the wire = 4 m,  One piece is bent into the shape of a square and the other into a…

Q: 9) The formula below is used in the field of photography Solve the formula for d. F f = d - F

A: Given: The formula f=Fd-F.

Q: • Part A The label on a bottle reads 10 mg of furosemide per 1 mL. Enter the equality for this…

A: Given The label on a bottle reads 10 mg of furosemide per 1 mL.   Therefore, Density of liquid =10…

Q: Alternating electrical current in amperes (A) is modeled by the equation , i=Isin(2πft) where i is…

A: Use the following formulae, to obtain the solution. The periodicity of sine function is 2π.…

Q: - Kadeem and Quinn both drive 25 miles, Kadeem drives at a constant speed of 50 miles an hour. Quinn…

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Q: у" - бу' + 5у %3 0

A:

Q: 6. 2a? a x + a x + a x k

A: #7 proof

Q: Solve: 1 X + 3 12 2x -1 3.

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Q: Assessment Progress Time Remaining Finish Assessment 01:07:32 32. Which two real numbers are…

A: x²-3x-28 = 0   x²-7x+4x-28=0

Q: 5. One rectangle has a length and width that are 3 times the length and width of a smaller…

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Q: A professional stunt performer at a theme park dives off a tower, which is 21 m high, into water…

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Q: -0.1015W - (34560/W) + 146.835 Solve for W (SHOW WORK)

A: The given equation is -0.1015W=34560W+146.835.…

Q: D) What is the maximum height? feet E) When will the baseball hit the ground? seconds F) When will…

A: To find D, E, F.

Q: Example 5: A certain rectangle has a length of half a yard more than twice the width. The perimeter…

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Q: Part B 9. The area of the blueprint is represented by the equation A = 2x + xh. What is the equation…

A: Given equation is -  A = 2x2 + xh

Q: 3 less than a number t is at most 7

A: Here the given statement is 3 less than a number t given as t – 3.   The sentence contains the word…

Q: A rectangular area is to be enclosed and divided into thirds. The family has $1040 to spend for the…

A: We use second derivative test to find out dimensions where area is maximum

Q: A car rental agency charges $500 per week plus $0.20 per mile to rent a car. a) The total cost, C,…

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Q: Please respond to the boxes marked red.

A: (a) (iv)Let x represent the length of the side of the square cut-out to produces the maximum volume…

Q: 14) A box with an open top is formed by cutting squares out of the corners of a rectangular piece of…

A: Given:- 14) A box with an open top is formed by cutting squares out of the corners of a rectangular…

Q: Question 2 The revenue from the sale of a product is given by R - x3 - 5x? + 250x When 10 units are…

A: Solve for

Q: The graph below shows a rectangular sum of n = x = 0 to x = 2. 4 rectangles to approximate the area…

A: Let's find.

Q: 10. Two numbers sum to 100. How small can the sum of one number and the other number be? square of…

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Q: 190. At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a…

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Q: 7. A slingshot is used to propel a stone upward so that its height h in feet after x seconds is…

A:

Q: An endagered species is the subject of a protection program.  The Formula below models the species…

A: We are given that the formula P= -10x2+235x+2200 models the species population, P, after x years of…

Q: -ind the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Given, The revenue function : Rx = 40x-0.1x2 Cost function : Cx = 6x+15 We have to find the maximum…

Q: 3x+ 6y 15x 30y - 35 Answer: ( Enter your answers as integers or as reduced fraction(s) in the form…

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Q: A 50-foot ladder leans against a wall so that it is 30 feet high at the top. The ladder is moved so…

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Q: Describe the effect on the perimeter and area of the rectangle if the height is multiplied by 2 and…

A: First find the area and perimeter using given data than again find area and perimeter after…

Q: Find the number in {x € R: – 5< x < 1} such that the sum of thrice the number and its square is a…

A:

Q: A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and…

A:

Q: Question 2 Rick ran for hour on Wednesday for a distance of 4.2 miles. On Thursday, he ran for 1…

A: Given,Distance covered by Rick in 34 hour on wednesday = 4.2 milesTo find:Distance he ran for 1 hour…

Q: Working​ together, two people can cut a large lawn in 4 hrs. One person can do the job alone in 1 hr…

A: We will solve the problem

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: Since you have posted a question with multiple subpart, we will solve the first three subparts for…

Q: 5. A car went 340 miles in 6 hours, traveling part of the time at 50 mph and part of the time at 70…

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Q: What is the largest possible value of (x + 1)(3 − x), if x can be any real number? (a) 2 (b) 3 (c) 4…

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Q: Question 5 The sum of two numbers is 10. What pair of numbers will yield the maximum sum of their…

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Q: 1. A ball is thrown from the top of a building and its height, in feet, after t seconds is described…

A: Use the first derivative to find the maximum value of height and time at that moment.