4. A certain Arithmetic Sequence has the terms a5 = -80 and a40 = 60, a. What is the simplified an, term? b. Find a53

Q: For the quadratic function f(x)=x²+2x-3, answer parts (a) through (c). (a) Graph the quadratic…

A: Parabola : A parabola is a curve equation with a point on the curve that is equidistant from both a…

Q: 1. Given: ^-6 -3 B Prove (A+BXA-B)-A²-B¹

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Q: Find a7, the seventh term of the geometric sequence whose first term is a₁ = 9280 and whose common…

A: topic - geometric sequence

Q: 3. Use the definition of limits of sequence to give a formal proof of lim (√n+1-√n) = 0.

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Q: 1) Write the first four terms of the sequence an = n³.

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Q: Solve the following system of equations using the substitution method. Write your solution, if it…

A: On solving this we will get

Q: or axis parallel to the y-axis; ter: (2, 1); gth of major axis: 18 units; gth of minor axis: 10…

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Q: (2(3+4+10-2+5)/3(4-12+32)) + 7(4)(3)

A: Given

Q: Consider a system of linear equations A [] - 6 where -2 b and A-¹ Find the value of y in the unique…

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Q: Step 1: Step 2: Step 3: Step 4: 50 40x + 9x - 7=0 50+ (-40x + 9x) - 7 = 0 50+ (-40 + 9)x - 7 = 0 50+…

A: Now, we adding the additive inverse of 43. So,                 -31x+43-43=0-43⇒-31x=-43⇒x=4331

Q: Let T: R³ R³ be a linear transformation such that 7(1, 1, 1) = (2, 0, -1), 7(0, -1, 2) = (-5, 5,…

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Q: Which of the following matrices are diagonalizable? Justify your claim. 5 -18 -32 a. M, = 0 5 4 2 -5…

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Q: Convert 8000 lbs/ft² to Mpa using this conversion table

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Q: Erik Allen repairs photocopy machines. According to his schedule, he needs to visit 5 different…

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Q: Which angle is vertical to ZFBG? D A C H B G E F

A: We can find the vertical angle as below.

Q: • 3k+1+3k+2=834

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Q: For the probability density function, over the given interval, find E(x), E(x2), the mean, the…

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Q: Given the following table with selected values of f (x) and g(x), evaluate f (g(3)). X -4-3 0 3 5 8…

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Q: 3. Solve the linear system below a + 2b − c +4d = 6 -a - 4b + 2c + 2d = 4 2a + 2b − c + 2d = 4 - a +…

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Q: state The Theorems in Algebra:- Caushy Lagrange

A: Cauchy's theorem (in algebra) Cauchy's theorem is a theorem in the mathematics of group theory,…

Q: Q6. Find the impulse response of the below equation when subjected to unit impulse at t=1 y" + 3y +…

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Q: The point P = (-3, y) lies on the unit circle shown below. What is the value of y in simplest form?…

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Q: For the following exercises, use synthetic division to determine whether the first expression is a…

A: The given expression will be factor of polynomial if reminder is zero

Q: Solve the system of equations {−9x+9y=360 {-5x-4y=-529 by converting to a matrix equation and using…

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Q: A group of 25 people is going to run a race. The top three runners earn gold, silver, and bronze…

A: given data total no. of runners = 25 and  we need to select top 3 runners

Q: Worksheet 2 Change to rational exponent form. Do not simplify. √6 4 (xy)³ Vy √1+ y² = (1+y*) *

A: As we know that; The radical rule; an=a1n   (1). Given: 6 Here, n=2

Q: A paper weight glass holder is a rectangular prism that is 4 inches long, 3 inches wide and 1.5…

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Q: 5. n(n+1) Find the sum of the series using the summation formulas. 1 k = 57 Σ(4k² - 12k - 50) Show…

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Q: A city's population is currently 20,000 and is growing by 4.7% each year. If this continues, in how…

A: Given query is to find the time taken to reach the population to 48000.

Q: 3. Quadrature: (a) Use two point Gauss-Legendre quadrature to approximate [²*cos(x²) dr. (b) How…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER…

Q: (3) Use any two points from the table to find the slope of the line connecting the points in the…

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Q: 8. The region enclosed by the circle with equation + y² = 5 and the +². line x = 1, shown shaded in…

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Q: 3. Explain how you could solve the equation In z = 3 using the graph f(x) = ln x

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Q: write a polynomial function that has the given zeros: -2 (mult. 2),-4

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Q: or (Mt 0)

A: answer is in next step

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

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Q: Ox=2 0=8 Ox=9 O2=0 1. Choose the correct answer. Solve. /8x-8=8

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Q: 1. For each problem, identify the type of function you are dealing with (linear, quadratic, or…

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Q: If [2x 3] 23 1. 2 13 2. 2 3. 4. 13 11 2 23 2 3] [ 1 2 -3 0 = 0, then the value of x is

A: We can answer the question as below using the properties of matrix.

Q: 6) 31 +41 +51 +61..., n = 12 A) 1036 B) 1040 C) 2096 D) 1032

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Q: Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve…

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Q: The minute hand on a clock is 9 centimeters long. In 10 minutes, how far does the tip of the hand…

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Q: Given the following information for the arithmetic series, find the sum of the series, Sg a₁ = 5, ag…

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Q: substituting the ав 9 B = 2 - (5.4) ² x (2.49) ² (5.4²-1.72)3/2 11 1.34 m/s² (left)

A: Given,            aB=-5.42·2.4925.42-1.7232

Q: Here is a graph of the function h. 1x 4 3- ла 3 4 5 -2- -3- -4- Use the graph to find the following.…

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Q: 9 Consider the line y= =2x-2. Find the equation of the line that is parallel to this line and passes…

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Q: For the following exercise, graph the polynomial function. Note x- and y-intercepts, multiplicity,…

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Q: Consider the following polynomial function. f(x)=-(x+1)²(x-1)² Answer the questions regarding the…

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Q: Here is a graph representing a function of the form f(x) = a. b. Find the values of a and b. Show…

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Q: Correct Incorrect Find the slope determined by the following pair of points. (0, -3), (-6,4) Answer…

A: topic - slope and y intercept of line slope of line through (x1,y1) and (x2,y2) isy2-y1x2-x1