3. Let z and y be 3-digit numbers such that y is equal to x written backwards. For example, if x = 257, then y = 752; if x = 339, then y = 933; if x = 111, then y = 111. Prove that r – is divisible by 99.

Q: The phone numbers on the Kennesaw State University campus have the form SSS-AHS-BUCS, where S can be…

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Q: Consider a string consisting of a's, b's, and c's, where the number of b's is three times the number…

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Q: Show that if a and b are positive integers, then there are divisors c of a and d of b with (c, d) =…

A: image is attached

Q: Suppose that B and Care points on the number line. If BC = 13 and B lies at -4, where could be…

A: Suppose that B and Care points on the number line. If BC = 13 and B lies at -4, where could be…

Q: Evaluate: E 4 · 4* 4. 4*- 1 O 248555 O 292247 O 349524

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Q: If "C, = K "C,, then K is n-1 %3D

A: Combination problem....

Q: If a = 0.10 , n = 100 , and o = 78.23, find %3D 12.99 O 13.05 O 7.82 O 12.87 O 12.93

A:

Q: discrete

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Q: Suppose that B and C are points on the number line. If BC = 7 and B lies at - 5 , where could C be…

A:

Q: If D =diag(λ1,λ2,...,λn), show that for every positive integer k, Dk =diag(λk 1,λk 2,...,λk n).

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Q: Show that if m is an integer then 3 divides m3−m.

A:

Q: Suppose that a and b are two numbers with this property: for anv e va it is true that azb. Prove a =…

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Q: 4. Prove that if m and n are positive integers and x is a real number, then %3D m

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Q: 1. Give definitions for N, Z, Q, R\Q, and R.

A:

Q: Prove that if n divides a, b, and c, then n³ divides a²(b – c) + b² (a – c) +²(b – a).

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Q: Show that for all integers m and n, if the remainder is 2 when m is divided by 4 and the remainder…

A: we have to Show that for all integers m and n, if the remainder is 2 when m is divided by 4 and the…

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Q: 22. If 6log2x =18 , then x is

A:

Q: 1- Show that if a is an integer, then 3 divides a^3-a. with details plz

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Q: Prove the following (by using contrapositive): Let a, b and n be integers. If n doesn’t divide ab,…

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Q: If m and n are even, then mn is even

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Q: Let SS be the set of numbers in X=[0,1]X=[0,1] that when expanded as a decimal form, the numbers are…

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Q: Suppose that B and C are points on the number line. If BC = 10 and B lies at - 4 , where could C be…

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Q: What is 5% of 360?

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Q: Evaluate z=x−μσn if x=92.4​, μ=17.8​, σ=1.2​, and n=63

A: Given, n=63, x=92.4​, μ=17.8​, and σ=1.2​

Q: Let 9={a: aER}, then 9 is Borel algebra.

A: False

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: %3| (a) In 64c2 = (b) In va'b*c³

A:

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated?…

A: Given: There are 7 letters A, B, C, D, E, F, G

Q: Find out how many distinct three-digit numbers can be formed using al the digits of 1, 2, and 3. * O…

A: To find  Number of distinct three digit numbers can be formed using all the digits 1,2 and 3.

Q: 2 find the der ivative d.

A: Consider a function is defined as, y=fx·gx The derivative of such a function is determined using…

Q: 2. Prove that if m and n are integers and mn is even, then m is even or n is even.

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Q: Compute the following numbers:b. How many three-letter “words” are there without repeated letters?…

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Q: If P(n) is the statement "n' + n is divisible by 3' Prove that P(3) is true but P(4) is not true.

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Q: If  n×k divisible by 4, then n is divisible by 4 or k is divisible by 4. Which of the following is…

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Q: Suppose, a computer has found, for a given set of values of X1, X and X3, 12 = 0.91, 13 = 0.33 and…

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Q: 4. Prove that if m and n are positive integers and x is a real number, then

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A: NOTE- AS PER POLICY I  HAVE CALCULATED FIRST MAIN QUESTION ONLY. Here Given 4 digits 1,2,3,4

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Q: 12. -4(1-4) +3(-3)-1

A: Given expression can be simplified as follows.

Q: Suppose a, b, c and d are integers. Prove that  if a divides b and c divides d, then ac divides bd

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A:

Q: Let A = {a,b, c} and B = {b, c, a}. Prove that A = B. Thus, the order %3| in which the elements are…

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Q: 4. Suppose that a and b are integers that divide the integer c. If a and b are relatively prime,…

A: Suppose that a and b are integers that divide the integer 'i'If a and b are relatively prime. Show…

Q: Show that 1 (N, <) is well-ordered. 1 2 (Z, <) is not well-ordered. 3 (R, <) is not well-ordered.

A: Please send questions as different questions. We cannot do more than 3 at a time.   A relation ≤ on…

Q: The phone numbers on the Georgia Tech campus have the form SSS-CVA-TECH, where S can be the digits 1…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.