Simplify the following complex expression. (1+ 4i)(3 – 5i)

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Q: 3(r - 2s) - x(r- 2s) factors to (r-2)(3- x) O True O False

A: Ans= False  Take the common and write the remaining part in bracket ...for detail go through the sol...

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A: This question is related to triangles, we will solve it using given information. 

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A: First we write the Augmented matrix then reduce it to RRE

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A: (d) Maxterm for each combination of the variables that produces a 0 in the function and then taking ...

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Q: ich of the following is the value of y as y v A. y = 1/3 В. у- 1/2 C. y = 98 D. y = 1/4

A: We will find out the value of y. 

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Q: . Determine the first five terms of the sequence defined by the following explicit formula: a "n – 4...

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Q: [0 -3 A -9 3 %3D 3 -3 A basis for the null space of A is { }. ||

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Q: Why do you have to divide a numerator and a denominator by the greatest of their common factors to w...

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Q: A substance’s decay function is represented by the equation y=10(0.87)x, where x is in hours. How lo...

A: Given query is to find the time when only 2.5 unit is left.

Q: 2. Which equation represents the following graph? ty 10 8. (3,8) 14,6) 6. (6, 4) (8,3) 2 2 4 6 8 A y...

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Q: Given: g (t) = cost a) Complete the table below for the values of the function g 2n g(t) Page 2 of 5...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Зх-2 p) Find the domain of the function f(x) 3D 5x2+4x-1

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Q: We have two people (p=2) and two different towels (t=2). Each person needs exactly one towel. In how...

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Q: 3. ABCD is a square. If mZABD = 3(x + 10), what is x? А. 1 В. 3 С. 5 D. 7 A For numbers 4 - 5, refer...

A: We know that all angles of a square is 90° so we put angle ABD=90° and find x . For questions 3 foll...

Q: The function g is defined below. x+2 g (x) = x-16 Find all values of x that are NOT in the domain of...

A: The given function,       g(x)=x+2x2-16

Q: if 0°<θ<90° and sin⁡θ=3/8, find cos⁡2θ.

A: To find: cos2θ Given information: if 0°&lt;θ&lt;90° and sinθ=38 Formula used: cos2θ=1-2sin2θ

Q: G is a finite group of order IGI =pqr with p< q <r prime

A: Solution

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A: topic - arithmetic progression

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Q: For this sequence of tiles, which equations could model the growth of the pattern? Select all that a...

A: Given, Sequence has tiles as 3,8,15 Let the sequence us f(n)=an2+bn+c

Q: 15.Which of the following is the product of the radicals and A. В. С. 2/6 D.

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Q: K Find bases for the column space, the row space, and the null space of matrix A. You should verify ...

A: I am going to solve the given problem by using some simple algebra to get the required result of the...

Q: Show that lGl =20 , so G is not simple

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Q: A man pays P 146428 every end of the month for a car bought on installment terms. If the man wishes ...

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Q: The function g is defined below. *+17x+ 72 g(x) = x+16x+ 64 Find all values of x that are NOT in the...

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Q: Which is a graph of an even function with a positive leading coefficient? D O A

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Q: 5. Prove using a two-column proof: Let G be a group. Let H < G and K < G. а. Show that HK = {hk : h ...

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Q: Normalize the vector j = (1, - 2, 5, 0, - 1) Write complete and organized solutions.

A: The given vector,     j=1,-2, 5, 0,-1

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A: Here, the total cost of the ferry is $33 which does not depend on the number of people going on it. ...

Q: 2x + 5y + 7z is a binomial. O True False re to search

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Q: A. A = k/b B. b =Ak C. A=kb D. A = B/K

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Q: The amount y (in dollars) that you raise by selling x fundraiser tickets is represented by the equat...

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Q: Write a polynomial to represent (the area of rectangle A) + (the area of rectangle В).

A: We are asked to write the polynomial 

Q: If p is a prime, prove that any group G of order 2p has a normal subgroup of order p and a normal su...

A: To prove that any group of order 2p has a normal subgroup of order p and a normal subgroup in g

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Q: 2 -13 Let A = 2 Find the eigenvalues of A and a basis for each eigenspace.

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Q: Which is a factor of 28xy - 154x + 20y – 110? Ox-4 O 7x + 4 O 7x - 11 O 2y – 11

A: Here,     28xy-154x+20y-110=214xy-77x+10y-55=22y-117x+5

Q: Graph the following exponential function. Show work in how you find the y intercept, talk about the ...

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Q: xy - xz factors to x(y - z). True O False

A: This question can be solved by taking x common from both the terms.

Q: Find three numbers such that the second number is 8 less than triple the first number , the third nu...

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Q: 4. Determine the sum of the following arithmetic series. 22 E(- 5k + 12) k=1 Student's Work Student'...

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Q: Business Mathematics Given the universal set W= {1,2,3,4,5,7,9,11} and its subsets T= {2,3,4,5,7}, ...

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