Prove using the math induction principle, that 2 + 6 + 10 + ... +(4n-2) equals to 2n2 for all n>=1

Q: Let A be (a,b,c). Let the relation R be AxA - {(a,b).(b.a).(c.b). Which of the following statements…

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Q: Because simple interest is used on short-term notes, the time period is often given in days rather…

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Q: Find the inverse of {(-5, 1), (6, 2), (-7, 3), (8, 4), (–9,5)} O {(1.-5), (2, 6), (3, -7), (4, 8),…

A: We need to find inverse of -5,1,6,2,-7,3,8,4,-9,5

Q: Create the exponential function in the form f(x)=a(b)^x that fits the two data points given:…

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Q: Let z = 3-4i and w = 2+3i. Calculate zw.

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Q: how do i find the directrix of a parabola with a vertex at (0,0) and a focus at (0,-8)

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Q: (x²-2) (2x² + 5x - 3)

A: (x2 -2)(2x2 +5x -3) we have to find root of this eqaution  this is the question of equation  further…

Q: 3 B A C In a 3 circle Venn Diagram, if n(A) = 68, n(B) = 88, n(C) = 71, n(AnB)= 29, n(AnC) = 32,…

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Q: Find the domain of h(x) = 7x 3x-8 g (x). O D. and g(x) = X x4- - 81 3x - 15 Choose the correct…

A: Topic = Functions

Q: A number smaller than machine precision cannot be represented in floating point system. True False

A: Solution: Precision is the smallest change that a floating point representation can capture. A…

Q: n list HE n7 3.6.35-BE K Assume that C(x) is in dollars and x is the number of units produced and…

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Q: Is the relation a function?{(1,5),(1,7),(3,9),(4,11)} no Yes

A: The given ordered pairs are (1,5), (1,7), (3,9), (4,11)

Q: A vehicle is purchased for $45000. If the vehicle depreciates (loses value) at a rate of 20 percent…

A: Given query is to find the value of the vehiuafter 6 years.

Q: Let f(x)=x^2-4x A) Evaluate f(a+h)-f(a) B)Solve f(x)=4

A: The given function is: fx=x2-4x   (A). Now substitute x=a+h in the given function to find the value…

Q: 7. Parallelogram ABCD is dilated to form parallelogram A'B'C'D'. Describe the dilation used to…

A: The sequence of transformations that are needed to create A′B′C′D′ will be  a dilation about the…

Q: Factor each expression. x2 - 10x + 24 d2 - 12d + 27 x2 - 13x + 36

A: Given query is to find the factors of the quadratic.

Q: Describe differences between (fg)(x) and (fog)(x). Give examples

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Q: The area of the rubber coating for a flat roof is 96 square feet. The rectangular frame the…

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Q: INTERMEDIATE ALGEBRA 6.4 EQUATIONS mample 1: Give the domain of the variable in X70

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Which of the following is the matrix AB for the following matrices? ΓΟ 1 2 1 ---- 1 2 and B = 1 O A…

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Q: 1. Factor each expression. x2 - 5x - 14 -x2 - x + 20 -x2 + 3x + 40

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Q: The digits of a 2 digit number are multiplied. The digits of the product are multiplied, and this…

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Q: Some friends tell you that they paid $22,374 down on a new house and are to pay $706 per month for…

A: Use interest formula

Q: Inverse functions gk) = 877-3gs = 83VX-3 y=83x - 3 138:3 X = 83√ X+3 = 8ry +3 -3 +3

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Q: Determine the range of the following graph: -12-11-10-9-8-7-6-5 21097 11 2-1 8 654321 12345678910 -1…

A: we need to write down the range of the function whosw graph is given.

Q: Question 35 Given f(x) = 2x² + 5x - 17, find f(-1). Of(-1) = 24 Of(-1) = -24 none of the above…

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Q: Rewrite the following equation in standard form. y = –10x + 10

A: Given query is to rewrite the equation in standard form.

Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

A: Given:      Length = l      width = x      height = h We are told the length is twice as long as it…

Q: Write the center-radius form of the equation of the circle with the given center and radius. a)…

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Q: Students grade for a quiz is given below. How many students have grade of 2 or 3 X f XN348 5 6 1423…

A: here data is given of  student and their grade frequency frequency of student is given and their…

Q: (a) a-b=√√3 (b) a-b=√√2-1 (c) None of the above is true

A: See the details solution in below

Q: . Find an equation in standard form of the parabola passing through the points. (1 , -2),(2,…

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Q: A distribution is normal with a mean of 25 and a standard deviation of 3. What is the median of the…

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Q: 3) Simplify. 29 a) 15 b) ;¹5 c) i -18 d) i

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only the first…

Q: What is the solution? −2x-3y=28 x+2y+3z-8 −3x−1y−2z=15

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Q: Translate from words into math notation: 6 times the difference of m and 4 gives 23

A: given  6times the difference of m and 4 give 23

Q: Consider the following polynomial function. f(x)=x4−3x3−7x2+9x+12f(x)=x4−3x3−7x2+9x+12 Step 3 of 4…

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Q: Which is the correct arrow diagram for this relation R,= {(2, 3); (3, 5); (4, 7); (5, 9); (6, 11)) А…

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Q: 1. The formula for converting degrees to Fahrenheit (F) to degrees Kelvin (K) is K = (F + 459. 67).…

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Q: 6. Sketch a graph of a function f that satisfies the following conditions: of is continuous on…

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Q: R is reflexive if Vx[(x € A) → ((x, x) € R)].

A: To state true or false.

Q: Solve the equation by factoring. If the equation has two solutions, list the smaller solution in the…

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Q: A circular reception tent has a center pole 25 feet high and the poles along the outside are 10 feet…

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Q: Factor each expression. 2m2 - 11m + 15 5t2 + 28t + 32 2x2 - 27x + 36

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Q: solve 5x - 3y = 9 for y

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Q: 6. State whether the graph of each quadratic relation opens upward or downward. Explain how you…

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Q: 4 Question 2 Find the inverse of [(4, 3), (-4,-4), (-3, -5), (5, 2)} O {(3, 4), (-4,-4), (-5, -3),…

A: Given query is to find the inverse.

Q: Determine whether the function is a linear transformation. T: P₂ → P₂, T(a + a₁x + ₂x²) = (a + ª₁ +…

A: A detailed solution is given below.

Q: A tinsmith wants to make a small windowsill planter from a 36 cm x 27 cm sheet of copper. She'll…

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Q: Find dy dt O A. O B. O C. O D. 2 for y=(5t²-4t) ². dy dt dy dt dy dt dy dt = 2(10t-4) = 2 (5t² - 4t)…

A: Given: y=5t2-4t2We need to find dydt.