Question 7. (a) For integers a, b, q, r, prove that if a = bq + r then (a, b) = (b, r). (b) Determine (1000, 2025) by using the Euclidean algorithm. Then express the answer as a linear combination of 1000 and 2025. Show all your working.

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Q: Solve. X= 2(x-4)³/2=16 (Simplify your answer. Use a comma to separate answers as needed.)

A: Topic = Algebra

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Q: 13. Calculate the determinant of B [3 B = 0 [4 A. -55 B. -5 C. 25 D. 85 E. None of the above 14.…

A: A detailed solution is given below.

Q: 1. Given circle O with tangent MP. a. If m/M = 150, then m<N =? b. If mzk = 63, then m<JMP =? M

A: Givenm(JNM)=150°⇒m(JKM)=360-m(JNM)⇒m(JKM)=360°-150°⇒m(JKM)=210°

Q: Using the matrices compute the following. tr (2E¹-D) = i D= -3 4 E E= -4-3-2 tr (2ET - D) -2 0-2…

A: SOLUTION-

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Q: Which of the following represents the graph of f(x) = 2* - 5? -7-6-5-4-3-2-1 3 4 5 6 7 -2…

A: Given: To identify graph of fx=2x-5

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

A: To find the cost of kiwifruit in USD/lb.

Q: Write in Roster form: C is a set of whole numbers between 6 and 12

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Q: Question 6 of 25 Which number produces an irrational number when added to A. √5 B. 7/ C. -0.4 D.…

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Q: 2. Find a single matrix equal to [1 - i 1+0, where i = √-1 (imaginary unit).

A: To find the product of the given 3 matrices.

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Q: Q6: Find the Eigen-values and eigenvectors of matrix A: -1 2 0 -1 0 1

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Q: EXER 3.1 Find a symmetric matrix E (E = ET) and a skew-symmetric Justify all parts of the solution.…

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Q: What transformations 4) f(x) = (x + 2)² + 7 happen to the graph from its parent function?

A: We have to find solutions As per guidelines we have to solve one question

Q: Consider A = [130;310;00-2] is (λ-4) (λ+2)^2 the characteristic equation True or false?

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Q: Write in Roster form: Set of all Dean’s lister in a university

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Q: Given the set S = {(1,3), (-2,3)} and the equation: 2(1,3) — 4(−2,3) = (10,3). What information can…

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

A: The answer is given below:

Q: Convert 100 dollars to "widgets" (1 dollar = 3.94 widgets) 39.4 3940 394

A: Given information,  1 dollar=3.94 widgets

Q: Solve the following equation. Check your solution. 11 x+9 x+1 x+1 Select the correct choice below…

A: Here we will solve the given equation,

Q: if you said b option b has the equal sign

A: Let's solve.

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Q: Find the value of the vertical asymptote z²9z+75 z+4 O-4 O-2 02 04

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Q: Show that 19 divides 10*8n-1 + 33n-1 for every positive integer n.

A: Concept: Mathematical induction: For each and every natural number n, mathematical induction is a…

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Q: Simplify. Assume that all variables are positive. -81x6y4

A: We have to simplify the given expression.

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Q: If f(x) = 2x + 1 and g(x) = x², Find g(ƒ(3)) a. 49 b. 19 a O b O O d C. d. 7 13

A: To find the value of the composite function g(f(x)) at x =3.

Q: 6a-3d when a=1d=2

A: Follow the procedure given below.

Q: Solve using Gauss-Jordan elimination. 2x₁2x₂ + 5x3 = - 19 4x₁20x2 48x3 = 72 X₁ + 3x2 - 7x3 = 9 Write…

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Q: An outlier is an individual value that: OA. deviates from the pattern. OB. extends the pattern. OC.…

A: An outlier is an extremely high or extremely low data point relative to the given data set.

Q: al dy = (1 + y²) ex dx

A: Differential equation

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Q: 6 1 + | 부 -2 19 41 21 -21 -41 =61 y - HO x

A: To find out the vertical asymptote.

Q: 7. Simplify this expression. Write answers with positive exponents. -6.3 18x-6y³√√z 48x4y52-3

A:

Q: Which of the following is equivalent to (1-x)(1+x) - 3x (2-x)? A. 3x² - 6x +1 B. -3²-7x + 1 C.-4x² -…

A: Recall: (a+b)(a-b)=a2-b2

Q: Solve for x. X= (Round to the nearest hundredth.) (...) 38° 48 B X

A: Given;  BC=x AC=48  Angle A=38.

Q: A + ÁB = 1 ÁB (A + B) (B + B) = Á (A+C) (AD + AD) + AC+C =A+C

A: 3)  (A + C)(AD + AD') + AC + C  =  (A + C)(A(D + D')) + C(A + 1)  =  (A + C)(A) + C  =  A + AC + C…

Q: 1)Find the value of c so that the domain of f(x) = √c-x^2! will be [-5,5].

A: Topic:- function

Q: If two variables are negatively associated, then above-average values of one tend to accompany A.…

A: Some relationships are such that the points of a scatterplot tend to fall along a more-or-less…

Q: An airplane leaves City A and flies 134 km due north to City B. It then turns through an angle of…

A: We have to find the angle A for the plane by which it could take a toor from point A to C.

Q: Question 1 Convert 100 dollars to "widgets" 39.4 O 3940 O 394 (1 dollar = 3.94 widgets)

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Q: The region "R1" in the figure below is revolved around the x-axis. Find the volume of the solid that…

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Q: 2. find the tangent of the angle from the line through (-2,-3) and (4,3) to the line through (-1,6)…

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Q: X 5 + x-4 x+5 11x-8 x²+x-20

A: We can simplify the expression as below.