Find the average rate of change of the function between the given Valves Y=6+5x + 0,5x² between x = 4 and X = 6

Q: Suppose foxy)-x-12y-12, where x and y must satisfy the equation x-y-4. Find the relative extrema of…

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Q: Let G be a connected graph having the following adjacency matrix: Find the order of G. 6 4 5 0 10…

A: We have to find order of the graph G. Order means number of vertices in G.

Q: In the figure, a // b, c is a transversal line 3 a b 1 4 5 6 8 С Name two pairs 1.Corresponding…

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Q: The domain is: The range is:

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Q: What is the maximum profit?

A: A manufacturing company found the that the equation, could be used to approximate their profit per…

Q: Evaluate [F(7). dr where F = [xz, yz, xy] and C is the helix: [cost,sint,t] from (1,0,0) to (0,1,5…

A: Convert this line integral to the parametric form.

Q: E ven: M BE T L

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Q: Use matrices to solve the system of equations (if possible). Use Gaussian elimination with…

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Q: Given that ₁/2, find x. X = 2 x x + 51° - 11 12

A: Consider the figure

Q: A curve with polar equation r = 41 4 sin 0 + 29 cos represents a line. This line has a Cartesian…

A: Given: The polar equation of the line is given by r=414 sin θ+29 cos θ To Find: To find the…

Q: 1 Suppose that $88,000 is invested at 6% interest, compounded quarterly. a) Find the function for…

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Q: 3) S] Another Ferris wheel at a local fair has a radius of 13m, and is 1 m above the ground at its…

A: Ferris Wheel has a Radius of 13 m. 1 m above the ground at its lowest Point. The Ferris Wheel makes…

Q: Determine whether the following functions are inverse functions. f(x) = x + 5; g(x) = x - 5 f(x) =…

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Q: Find the indicated term of the given sequence. a₁ = In en; a60

A: Given sequence,

Q: If the Social Security tax is $0.062 tax for each $1 earned. How much Social Security tax would need…

A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Solve for x: log (125) = 3

A: The equation is given by logx125 = 3 To evaluate: The value of x.

Q: Seawater has density 1025 kg/m³ and flows in a velocity field v = yi+xj, where x, y, and z are…

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Q: What is the equation of the function represented by this table of yalues? X y -2-1 3 25 B 3/5 A y =…

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Q: An unknown radioactive element decays into non-radioactive substances. In 660 days the radioactivity…

A: Here an unknown radioactive element decay into non radioactive substance. In 660 days the…

Q: TIVITY #3- ANGLE PAIRS Find the value of x. 15 16 (3x + 18)° 93° (2 + 3x) ° 62°

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Q: Find the inverse of each function. Then graph the function and its inverse. 7) g(x) = -2x - 4…

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: You want to paint the walls of your bedroom. Two walls measure 13ft by 7 ft, and the other two walls…

A: Two walls measure 13ft by 7 ft, and the other two walls measure 14 ft by 7th. The paint you wish to…

Q: Write the first five terms of the sequence. (Assume that n beg a1 a₂ a 3 34 = 11 = a n a 25 = 5 0.86…

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Q: Solve the system graphically, and indicate whether the solution region is bounded or unbounded. Find…

A: To write that solution is bounded or unbounded and also the corner points.

Q: 1. k = 3-4i and m = -2+9i. Write each expression in the form a + bi, where a and b are real numbers:…

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Q: If possible, find AB, BA, and A2. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) -4…

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Q: Question 20 Which of these equations is a linear equation? C y = 5x² A y: 5 X ® y = ²x+4 B D y = x³…

A: linear equation can be written in as y=mx+c  -------(i ) where x is variable and m,c are constant

Q: Find two consecutive integers whose product is 6 less than the square of the smaller number. (Enter…

A: given two consecutive intergers whose product is 6 less than the sqaure of the smaller number

Q: 5x The function f(x) = is one-to-one. x+4 (a) Find its inverse and check your answer. (b) Find the…

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Q: Find the first 4 terms of the recursively defined sequence. a₁ = 9₁ an+1 = 1 + 1 an

A: a_1=9

Q: please solve: 3/4 of the number of girls in a class is 24. If there are 12 boys how many students…

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Q: rocket is fired upward with a velocity (v) of 570 feet per second.

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Q: For f(x)=√x and g(x) = 8x+9, find the following composite functions and state the domain of each.…

A: f(x)= √x     g(x)= 8x+9 We have to find composite function and its domain

Q: Ruby is visiting San Francisco. From her hotel she walks 2 blocks west and 4 blocks south to a…

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Q: If possible, find A + B, AB, 3A, and 3A - 5B. (If not possible, enter IMPOSSIBLE in any cell of the…

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Q: 2. Mary says that 10x3.7 = 3.70. Why might Mary think this? Explain to Mary why her answer is not…

A: To explain the procedure to multiply decimal numbers.

Q: Find the measure of angle b. 9) 11) b 50° 10) 12) 43

A: Complementary Angles Are the angles whose sum will be 90° Supplementary Angles are the angles whose…

Q: A ball thrown into the air reaches a height h (in feet) according to the formula h = -16t² + 48t,…

A: Given, Height in feet,  h = -16t2 +48t  Where t is the time elapsed since the ball was thrown  We…

Q: In 2012, the population of a city was 6.89 million. The exponential growth rate was 3.26% per year.…

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Q: Write an equation for the ellipse. Center at origin; length of major axis 18; y intercepts (0, +-4)

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Q: The following are the ages of 13 music teachers in a school district. 25, 26, 27, 27, 31, 34, 37,…

A: To find out the minimum, lower quartile, median, upper quartile, maximum and interquartile range.

Q: Use synthetic division to determine if the given number c is a zero of the polynomial.…

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Q: Isolate variable logarithmic

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Q: 2. When we multiply 37 x 26 by using the standard multiplication algorithm, we start the second line…

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Q: A square matrix A is nilpotent if Ak = 0 for some positive integer k. What can you say about the…

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Q: 16. Solve, rounding to three decimals where appropriate, logx-4(3x + 1) = 2

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Q: y=2cos(3(x-))-1 period phase shift midline a. TT 4 units right b. 1 C. 2π 3

A: y=2cos3x-π4-1

Q: Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)…

A: System of linear equations,

Q: A diver jumps up and over from a cliff in order to avoid rocks and land in the deeper water. The…

A: PLEASE NOTE THAT :  THE FUNCTION SHOULD BE WRITTEN AS f(x)=-16x2+3x+32

Q: g(n)=-2-√4n 2 f(n)=-2n³- k(n) = -√√n + 1/320 5 15 2n 4 4 4 f(n)=3-n 5

A: (1).The given functions are:g(n)=-2-4n32f(n)=-2n3-3