lems 2: arbitrany tonste

Q: The summation of a constant is equal to the product of the cardinal of the index set and the…

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Q: What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this…

A: Solved below

Q: If f(x)= Vx and g(r)= 2x+5, then state the domain of (go x).

A: Follow the procedure given below.

Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: Given              46 graduating students & no student can receive more than one prize

Q: 2 2 2 2 Write the sum using sigma notation: – 2 3 9 27 81 Preview i=1

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Q: The objective function is F = 25x - 41y + 36 Find the MINIMUM value of the objective function.

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Q: Consider the line -x-4y= 8. Find the equation of the line that is perpendicular to this line and…

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Q: A theater charges $60 per ticket for seats in Section 4, $50 per ticket for seats in Section B, and…

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Q: 12+4x )(3z+1) (3x+1) 20x2-8x (4z)(

A: Follow the procedure given below.

Q: 17. A Norman window is a rectangle with a semi-circle on top. If the perimeter of the window is 24…

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Q: 5. Use finite differencesto determine whether e achrelation is line ar, quadratic, or exponential.…

A: We have to find if the table data represents a linear, quadratic or exponential function.

Q: Complete the table shown to the right for the population growth model for a certain country.   k=…

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Q: The equations of three lines are given below. Line 1: 5y = 3x+4 3 Line 2: y= -r+6 Line 3: 10x-6y =-6…

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Q: Consider the Ilhe -6x-9y=-7. What is the slope of a line parallel to this line? What is the slope of…

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Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

A: Given:

Q: 8. Use a graphing calculator to determine the linear, quadratic, or exponential equation that best…

A: We will find the answer by following observations

Q: The Closing the Gaps initiative by the Texas Higher Education Coordinating Board established the…

A: here we have to calculate the rate of change of increase student by year rate of increase = (1694247…

Q: You go to the doctor and he gives you 12 milligrams of radioactive dye. After 24 minutes, 4…

A: we have to find the time .

Q: 6. A. Write a polynomial equation for the graph that passes through (0, -45) and has zeros: -3 and…

A: Given query is to find the equation of the polynomial.

Q: Prove the claim that there are no integers j and k such that j^2 + 3k^2 = 8

A: Since both j and k are being squared so if we prove the case for positive integers, that will prove…

Q: Find the required value by setting up the general equation and then evaluating. Find s when t = 4.50…

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Q: Question 2: Multiply the following: V3 x V5 b. V5a x v2b а.

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Q: Find the mean absolute deviation of the data set given below. 20, 30, 50, 80, 20 Write the correct…

A: Given set, 20,30,50,80,20 Therefore,  n= 5 (I.e, number of terms)

Q: I. Determine whether the infinite series is convergent or divergent. 1 1 1 + + 27 1 + + 64 1 + 125 1…

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Q: If a 2x3 matrix has a row that is all zeros and the other row has all nonzero entries, the…

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Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: 8 n the series – 128 512 + 32 36 216 1296 s this series converge or diverge? Odiverges Oconverges e…

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Q: Find the characteristic polynomial of the following matrix 4. -2 4. -3 1 The coefficient of A is The…

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Q: (d) Prove that 2" +3" is a multiple of 5 for all odd n E N.

A: Use the mathematical induction to prove the given statement.

Q: The perimeter of the rectangle below is 86 units. Find the length of side PS. Vrite your answer…

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Q: Using a table of signs solve the inequality:  4x + 5/ 9-3x ≥ 0 Give your answer in interval…

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Q: Solve the following progression {4, 13, 22, 31, … } a. Find the nth term of this progression.

A: Solve the following progression {4,13,22,31} This given progressin in arithematic progression…

Q: In how many ways can 3 different novels, 2 different mathematics books, and 1 biology book be…

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Q: Determine if the ordered pair is a solution to the system of equations. 1 y =x+1 6x-3y = 30

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Q: Calculate the distance between the points E = (1, -4) and C = (8,-9) in the coordinate plane. Give…

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Q: There are 9 different positions on a baseball team. If a team has 16 players, how many different…

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Q: 42. Lauren is working with her coach to improve her tennis skills. A graph of Lauren's latest serve…

A: Given problem:-

Q: Give the first 4 terms of the geometric sequence with a = 10 and r = 4. Give your answers as reduced…

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Q: Country Day's scholarship fund receives a gift of $ 160000. The money is invested in stocks, bonds,…

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Q: 17. The diagram shows a cylinder that is partially filled with water. Find the volume of the portion…

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Q: The exponential model A=186.5e0.02t describes the​ population, A, of a country in​ millions, t years…

A: Here, the given exponential population model is: A=186.5e0.02t where A is in millions and t is the…

Q: Use the exponential decay model, A = Ao e , to solve the following. The half-life of a certain…

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Q: 2. Write as a positive exponent and then evaluate: (xy*)*(x³y*) al 24xy* b) 6 6x°y

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Q: 38 Evaluate the arithmetic series when (9i +1)

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Q: Given f(x)= x² +3x –1 and g(x)= 2x +1; what is (fog(x) 6x

A: f(x)=x2+3x-1g(x)=2x+1composite function:(f o g)(x) = f(g(x))   =f(2x+1)   =(2x+1)2+3(2x+1)-1…

Q: 13. For each ordered pair, determine whether it is a solution to the system of equations. (х, у) Is…

A: This question can be solved using the concept how to check whether a given point lies on a line.

Q: Basics Give an example of functions f(n) and g(n) such that none of the three relations f(n) g(n),…

A: Solution of the problem as follows

Q: Answer the following statement with "always", "sometimes", "never", or "not enough information to…

A: Protractor is used to measure an angel with respect to a line.

Q: Evaluate each expression using the graphs of y = f(x) and y = g(x) shown below. (a) (g o f)(- 1) (b)…

A: Consider the graphs of  functionf(x) and g(x)

Q: If a, b, m and n are integers, and if c ⎸a and c ⎸b, then c ⎸(am + bn) If p is prime, p divides a^2…

A: The objective of the question is providing the given statement.