let G be a group and H a subgroup of G. prove that for any element gEG holds that gH=H if and only if gEH.

Q: Consider the line -x+8y36. Find the equation of the line that is perpendicular to this line and…

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Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)…

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Q: C. Direction: Find the Mode (Mo) of the following: A, A,A 1. answer: 2. А, С, D, Q, E, с, F, Q 3. 5,…

A: Find mode the following questions

Q: Find u - v, 2(u + 3v), and 2v – u. u = (5, 0, -3, 8), v = (0, 2, 8, 5) (a) u - v = (b) 2(u + 3v) =…

A: The objective of the question is evaluate the given values.

Q: Determine whether the given ordered pair is a solution to the system of equations.   6x−2y=38…

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Q: Find the coordinates of the point where the lines with the following equations intersect: 4x + 8y =…

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Q: Crystal has several dimes and quarters in her purse, totaling $2.70. There is 1 less dime than there…

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Q: Q 11 Find the minimum value of the objective function z = 5x + 3y, subject to the following…

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Q: find laplace: {} at

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Q: denomiaton and Simaify 3 Rationalice denomiaton and Simaify

A: We have to rationalize denominator and then simplify for the expression   384  Now, 384   =     3814…

Q: [2 Compute: 1 4 2 - . Preview

A: Solving the problem by finding the the multiplication of the given matrices.

Q: 9. Patterns and Games: Complete the Pattern The following images form a pattern. Image 1 Image 2…

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Q: An investor has $749,000 to invest in bonds.  Bond A yields an average of 3% and the bond B yields…

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Q: Plot the numbers -2- and on the number line below. -3 -2 -1 0. 1. 2 3

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Q: What condition, if any, must a, b, c, and d satisfy for the linear system to be consistent? X1 + 2x2…

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Q: Explain why S is not a basis for R3. S = {(1, -5, 3), (6, 13, 8), (1, 4, 6), (0, 5, 7)} O sis…

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Q: The one-to-one function fis defined below. 8x+5 1+3x -1 Find f (x), wheref is the inverse of f. Also…

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Q: Hw.f find the approximate Value of: 6..)*+ (5-9)+ (2.03)²

A: Let, the function be: f(x,y,z)=7x2+y2+z2 Now, to find the linearization of f(x,y,z) at the point…

Q: The problem describes a debt to be amortized. (Round your answers to the nearest cent.) Sean Lee…

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Q: The parabola in the figure below has vertex (0, 0) and focus F (3, 0). Its directrix is the vertical…

A: Given problem:-

Q: Find the length of an arc of the curve y = In x from x = 1 to x = 2v2. !3! O 2.1206 2.1026 2.1602…

A: We know that arc length of the curve f(x) from a to b is defined as Arc Length = ∫ab1+f'x2dx Given:…

Q: TOPIC: APPLICATION OF LINEAR EQUATIONS A man left his home at past 3:00 PM as indicated in his wall…

A: This is a problem of linear equations. Based on the given constraints we will generate the linear…

Q: Jesaki Furniture Company has two plants that produce lumber used in manufacturing tables and chairs.…

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Q: 2. For a certain type of tree the diameter D in feet depends on the tree's age t in 5.4 years. This…

A: Find the diameter of a 20 year tree

Q: 225 × 45 = %3D

A: Explained below

Q: Q 8 Find the maximum value of the objective function z = 19x + 28y, subject to the following…

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Q: 17. Given a = 4 – 4i and az = 4 + 3i, express %3D :11 in the form a + bi. a, az CLONE Dec 19

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Q: 4) Find the sum of first 20 terms of the following series. 2+4 +6 + . a) 380 b) 400 c) 420 d) 440

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Q: 490n – 12740 The equation P = represents a computer manufacturer's profit P when n computers are…

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Q: 24. a) Explain how a table helps you solve an incquality. b) Use a table to you determine when the…

A: 24) a) To explain how a table helps you solve the inequality.

Q: 3 -1 Let A = and B = 1. %3D a) Find all IR Such that the in Columns of AB lin early dependent are to…

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Q: Solve the matrix equation AX = B for X - 5 - 2 -5 A : 2 1 B - 2 1 | X = %3!

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Q: Find a basis for the subspace of R³ spanned by S. S = {(1, 4, 7), (-1, 5, 7), (2, 5, 1)}

A: The matrix form the vectors is: A=1-12455771

Q: The equation 9(v+2) = -45 is solved in several steps below. For each step, choose the reason that…

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Q: Given that A is a 5 × 4 matrix and B is a 7x 5 matrix. (a) Is AB defined? If so, what is the order…

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Q: Investor Dan has $776,000 to invest in bonds. Bond A yields an average of 5.9% and the bond B…

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Q: Let f(x) = x5+ 3x4 + 2x2 and f(z) = 1024 + 1232i, the value of z is %3D %3D 2+ 4i 2-4i O 3+ 21 1+ 2i

A: We know, a+b5=a5+5a4b+10a3b2+10a2b3+5ab4+b5 a+b4=a4+4a3b+6a2b2+4ab3+b4 a+b2=a2+2ab+b2 i2=-1, i4=1

Q: Use the following graph to answer the questions below. Circle the bold word or number that correctly…

A: Given query is to find correct statement about the graph.

Q: –+l l5=405 %3D

A: We can solve the quinary number system problem as below.

Q: 2. Test continuity at x = 0 and x 3 for the function - 3<x<0 (3+ 2x; f(x) =} 3- 2x; 0<x<3 (-3– 2x;…

A: Here we have to differentiate the function.

Q: Find the slope and y-intercept of the line y=3x-1

A: Topic = Coordinate geometry

Q: Evaluate O a. 3/4ln4 O b. 3/2ln2 O c. 2/3ln3 O d. 5/6ln6

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Q: 4 -4] find A3. 0 -5 Given the matrix A = A³ =

A: Given: A=4-40-5

Q: . A gardener can mow a lawn in 3 hours. After 2 hours, it rained and he discontinued the work. In…

A: answer is in next step

Q: QUESTION 5 f(x) = x* + x3 – 2x? For the above function state all intervals of x where f(x) is…

A: The given function,       fx=x4+x3-2x2

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Which of the following should replace the question mark to complete the series? * BE Option 3 Option…

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Q: Heather the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each…

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Q: H.W: Find Laplace Transform for following functions: a) f(t) = e¬3t sin² (t)

A: Doing (a)f(t)= e-3t sin2tsince,sin2t=1-cos(2t)2f(t) =e-3t 1-cos(2t)2L{ f(t) } =L{ e-3t 1-cos(2t)2 }…

Q: Commutativity: AUB = B U A, also, A n B = BN A Associativity: A U (B U C) = (A U B) U C, also, An (B…

A: Let's find.