Prove that every odd prime except 5 divides some number of the form 111...11 k digits, all ones

Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: If f (x, y) = xy² + arctan(cos x), then fyy is 00 2x 2xy y² + 1 1+ cos²x O None of the above.

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Q: ual appearance of the graph of Xsp (t). where F(t) is the function of period 2л such that F(t) = 10…

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Q: デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT 4. Find the solution of the differential…

A: A differential equation of the form  is called exact DE iff  and the general solution is

Q: In Exercises 5-12, evaluate the determinant of the given matrix by cofactor expansion along the…

A: Given, a matrix:8. It is required to find the determinant using the cofactor expansion.To solve this…

Q: Determine all polynomials p(x) such that (x - 1)p(x + 1) = (x + 2) p(x) and p(2) = 12.

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Q: 14. Find the Fourier serial expansion of the function f(x)=x+1, for 0<x< π

A: We have to find the fourier series expansion of the functionWe know thatThe fourier series expansion…

Q: The matrix 1 k 0 1 represents a compression with factor k in y-direction a compression with factor k…

A: The objective of the question is to identify the transformation represented by the given matrix [1,…

Q: Solve the IVP using the Laplace transform. y" — 5y' + 6y = e¹t, y(0) = 1, y'(0) = 0

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Q: Find the explicit particular solution of the differential equation for the initial value provided.…

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Q: Inventory Analysis A company reports the following: Cost of merchandise sold $558,000 Average…

A: a. To calculate the inventory turnover:

Q: Kurt is looking for a new job. His current job pays him $775 per week. The job Kurt wants to apply…

A: The objective of the question is to calculate Kurt's current yearly salary based on his weekly pay.

Q: A population of 60 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary…

A: The objective of the question is to estimate the population of deer in the sanctuary after one year,…

Q: Question 2. Use induction to show that for any natural n ≥ 3, one can be written as a sum of n 1…

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Q: Suppose Var(X) = 83, and a = .57. What is Var(aX)?

A: The objective of this question is to find the variance of a random variable that has been scaled by…

Q: a. During 2008 the S&amp;P 500 index depreciated by 37.6%.† Assuming that this trend had continued,…

A: Solution given below Explanation:Step 1:a. To calculate the value of the investment after 7 years,…

Q: f(x) = -4/1/2

A: .

Q: The Solomon Islands has average precipitation of 3028 mm per year. On a random week in Solomon…

A: The objective of this question is to calculate the expected rainfall in the Solomon Islands in…

Q: The city of Raleigh has 9200 registered voters. There are two candidates for city council in an…

A: The objective of the question is to identify the target population for the survey conducted before…

Q: Consider the following. My recent marketing idea, the Miracle Algae Growing Kit, has been remarkably…

A: Dear student, kindly check the answer in the explanation box below.Explanation:Part 1: Answer:The…

Q: Solve the given differential equation by undetermined coefficients. y'' + 2y' = 2x + 9 - e-2x

A: The objective of the question is to solve the given second order linear differential equation using…

Q: Which 4-tuples a 0<a<b<c<d<6}. are int the relation {(a, b, c, d)|a, b, c, d are integers with

A: We need to identify the tuples of the integer relation .Let .

Q: 2 Consider the set S = {x² + 1, 2x − 2, −x² + x}. The set S spans P2. If t(x) = 5x² + x + 2 € P₂,…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is…

A: The objective of the question is to find the upper class limit for the fourth class in the given…

Q: 1 12.50 24.17 3 2.08 5 0.83 of representatives. 4.50 0.75 0.45 0.30 8.00 2.67 0.80 0.53

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Q: Calculate the average (mean) of the data shown, to two decimal places x 29.2 4 9.9 5.9 21.4

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Q: Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile…

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Q: Solve this linear IVP,        xlnx dy/dx + y= 2lnx,                           y(e)=2

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Q: Suppose the relationship between Y and X is given by: Y = 51 + 6X By how much does Y change if X…

A: The objective of the question is to determine the change in the value of Y when X increases by 1…

Q: Let a1 = [-2  h], and a2 = [10  -20] The set {a1,a2} will span R3 unless h

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Q: If Cov(X,Y) = 404, then what is Cov(12X,19Y)?

A: The objective of the question is to find the covariance of the two variables 12X and 19Y given the…

Q: Suppose Cov(X,Y) = 821. What is Cov(6X, 4.7Y)?

A: The objective of this question is to find the covariance of the two variables 6X and 4.7Y given the…

Q: Find the Laplace transform of 3t 2 cos 7t + e

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Q: The function f(x) = x³ = x² - 10x + 7 has a unique root on the interval (0, 1). Show that the…

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Q: If Cov(X,Y) = 100, then what is Cov(8X,10Y)?

A: The objective of this question is to find the covariance of the two variables 8X and 10Y given the…

Q: Given the following diagram, if STUV, is AURV = ARST? Explain why or why not, using definitions,…

A: In this question, we will use two theoremsi) Same arc length substitutes the same angle at the…

Q: Suppose E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62. What is E(aX+bY)? (Please round to two decimal…

A: E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62.E(aX+bY)=aE(x)+bE(y)

Q: y" + 16y2x sin 4x

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Q: 5. Let A be an n x k matrix for some 1 ≤ k ≤n, with real entries. 5a. Show that nul(ATA) = nul(A).…

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Q: Suppose Var(X) = 42, and a = .92. What is Var(aX)?

A: The objective of this question is to find the variance of a random variable that has been scaled by…

Q: George Johnson recently inherited a large sum of money; he wants to use a portion of this money to…

A: Given, thatProjected returns over the life of the investments:  for the bond fund and  for the stock…

Q: Consider the following all-integer linear program. 1x, 1x₂ 4x₂ + 7x₂ S 27 1x₁ + 6x₂ 5 18 2x₁ + 1x₂ 5…

A: Solve the problem by graphical method:Given constraints are:4x1+7x2≤271x1+6x2≤182x1+1x2≤11Solving:…

Q: Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile…

A: (a) The constraint limiting next week's production of the 4-cylinder connecting rods to either 0 or…

Q: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is…

A: The objective of the question is to find the recursive and explicit formulas for the number of…

Q: You want to estimate how many fish there are in a pond. Suppose you capture 280 fish, tag them, and…

A: The objective of this question is to estimate the total number of fish in the pond using the method…

Q: Consider the linear system Ax = b, where A = converge and give a solution to this system? 3 -1 0 2…

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Q: Use a substitution of the form y = (x − c)' to find a general solution to the given equation for x>…

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Q: Match each graph with its equation. - f(x, y) = (x - y)² f(x, y) = x² + y² do f(x,y) = x³ - f(x, y)…

A: 1.  : This equation represents a parabolic surface that opens upwards because . It will have…

Q: Suppose the relationship between Y and X is given by: Y =  -10 - 25X By how much does Y change if X…

A: The objective of the question is to find out the change in the value of Y when X increases by 10…

Q: Evaluate the triple integral ry dV, where E is bounded by the parabolic cylinders y = x², x = y² and…

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