(3) What is the order of (8,2, 5) in group Z12 × Z6 × Z7. (For this question, I don't need a strict proof, but you need to write down your calculations step by step and explain it.)

Q: If (√3+i) 100 = 29⁹(a + ib), then show that a² + b² = 4

A:

Q: 3 3x2+2x+1 3. Compute dr 2 x2

A:

Q: o use divisibility in this problem but i am not sure where to start. Prove or disprove (with a…

A: Introduction: If a and b are integers, a divides b if c is an integer and ac = b. The symbol a|b…

Q: 1) Show that the square of an odd integer is odd. 2) Show that the product of two odd integers is…

A:

Q: 2 Find 22 + 42 + ... + (2n)². Hence find 12 – 22 + 32 – 42 + ... - (2n), simplifying your answer.

A:

Q: When x³ + kx + 1 is divided by x + 1, the remainder is-6. Find K. k= -12 x

A:

Q: 2. Expand by multiplying 'o) a) (3x+ 4)(2x - 2) b) (2x - 7)(-4x + 5) c) -4y(-4x -5y)

A: Given  a) (3x+4)(2x-2) Multiplying,  (3x+4)(2x-2) = (3x)(2x-2)+4(2x-2)…

Q: If a number has n fraction (n>1), then the square of the number has 2n factors is this true

A:

Q: you’re thinking of a number 1-50 and i have to guess what it is. i asked these questions in this…

A: Given: A numbers between 1-50. To find: Find a number greater than 25, divisible by 2, 3 and 5 and…

Q: Given any real numbers a and d, consider the expression (a + md) + (a + (m + 1)d) + (a + (m + 2)d) +…

A:

Q: 10-9) x (9-8) x (8-7) x …. x (3-2) x (2-1) = A) 1 B) 9 C) 10 D) 11

A:

Q: Prove the following: There exist no integers a and b for which 14a + 4b = 1. Please explain the…

A:

Q: When 2x3+x2-2kx+b is divisible by x – 1, the remainder is –4, and when it is divided by x + 2, the…

A: When 2x3+x2-2kx+b is divisible by x – 1, the remainder is –4, and when it is divided by x + 2, the…

Q: 12 4x2 + 6x Which of the following is equivalent to 4x + 2 A) x B) x+4 C) x-- 4x + 2 D) x+1- 4x + 2…

A:

Q: In Z12, what is the order of a +b if a = 6 and a = 2? 3 A C B.

A: SOLUTION-

Q: 6. Simplify these algebraic expressions. a) 2m + 12n - 3m - Op+ 10p +m – n- 12p b) 5r+ 13t +…

A:

Q: For each of the following, perform the indicated computation. (a) (97+43+ k) - (57-3+ 10) = 1. (b)…

A: Find (a) (9i→+4j→+k→)-(5i→-j→+10k→)=?(b) (-i→+8j→-4k→)-3(-9i→-j→-3k→)=?

Q: Click and drag the steps to show that at least three of any 25 days chosen must fall in the same…

A: In discrete mathematics, there are two basic methods for proving a statement is true: proof by…

Q: Suppose A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}. (a) What is (A ∪ B) − (C − B)?(b)…

A: We have given A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}.

Q: Simplify the following: a. (3x - (9+5))² – (5x² – (4 +9)x + (9 +9)) (9+3) (5 x² y" z*) b. 52x* y z-7…

A: Simplification

Q: Use a random number generator to generate 50 values between zero and one (inclusive). List them in…

A: Note: Hi there! Thank you for posting the question. As there are multiple several questions,…

Q: 2. If p = 41+2j – k, q = 6i+ 6j– 2k and 7 = -3i – 4j– 3k, evaluate a) q• (p- 2r) b) (r +g• p) c)…

A: Here we use formula of dot product of two vector, and addition, subtraction, multiplication of…

Q: શે-2 – 7) 4x(3-2x) 1$'+107 d) (12x – 6x) + (3x) f) -8y* +24y 4y

A:

Q: 2. Find the difference quotient of f(x) = 4x² – 7x + 5

A:

Q: What is the conjugate of –7√3 – 2 ?

A:

Q: 1) х*- 27 2 - A) (x – 3) B) (x- 3)(x² + 3x + 9) C) (x+ 3)(x² – 3x + 9) D) (x – 3)(x + 3)

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Calculate 3 2/5 + 1 2/3 in two different ways. a) In each case, express your answer as a mixed…

A: Do the addition as given in the figure. One way is by doing addition in fraction form and the other…

Q: (a) (10432); to Octal system (c) (13D9E)16 to Quinary system Find the integers m, n such that 18m +…

A:

Q: 5 3 32-21+21 +1 palmomial using LDM. Divide the Di

A:

Q: 1. Arrange the terms of the dividend in descending powers х-3 ) 2х3 - Зx- х + 4 2. Use c as the…

A:

Q: Obtain the regular expressions for the following: (a) {a4n+3 : n ≥ 0} (b) {a, a4, a8, … }

A:

Q: (Зл — 1)! Simplify. 2!(3n + 1)!

A:

Q: 1.If the volume of a box is represented by the expression (x3 - 3x2 -10x + 24) cm3 and the width is…

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: (x³ + 4x2 – 8x + 9 ) (x – 5) 194 O x2 + 9x + 37 + x-5

A: Dividing the given polynomial.