For the givend and n, show d|a by finding a q with n = d x q • 4 | 20 • 5|-25 -3 |9 -9 |-27

Q: Determine the order a = 7 modulo n = 24. Type your answer...

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Q: How many numbers in the set {1, 2, 3, ..., 346} are divisible by 5 or 7 ?

A: In the given problem we have to find how many numbers in the set 1, 2, 3, . . ., 346 are divisible…

Q: Let n be a positive integer. Show that in any set of n consecutive integers there is exactly one…

A: Let  be an integer, then  are n consecutive integers .Since  for any integer :When  then  and  are…

Q: 8. community property of (a+b)(C+5) = (

A: solving the problem by the way of commutative property.

Q: Discrete math

A: Hey, since there are multiple sub parts posted, we will answer first three sub parts. If you want…

Q: A concert to raise money for an economics prize is to consist of 9 works: 4 overtures, 4 sonatas,…

A: Given, Total 9 works overtures = 4 sonatas = 4 piano concerto = 1

Q: A computer byte consists of eight bits, each bit being either a 0 or a 1. Assume that characters are…

A: Total characters used in a language=25,000The characters are represented using a code that uses a…

Q: Let A = {small, medium, large}, B = {yellow, orange}, and C = {triangle, round). List the elements…

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Q: a representation of a division of a number; a part of a whole

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Q: How many 4-digit numbers have all their digits in nondecreasing order? For example, 266888 is a…

A: Solution:- In the given problem, we will find how many 4-digits number have all their digits in…

Q: Sis a set of arithmetic expressions recursively defined as follows. Base case: Every variable from…

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Q: a a + 10. On the number line above, if x is a number that lies between a and a + 10, which of the…

A: Consider

Q: algebraic proof for 45 divisiblity test without using modular math. I think it involves divisible by…

A: If a number is divisible by 45, then, it must be divisible by 9 as well as 5. The number is…

Q: How many positive integers n less than or equal to 17,473 satisfy d(n) 1 (mod 2)?

A: We need to find a number of positive integers n≤17473 such that d(n)≡1(mod 2) i.e., , k∈Z.So, we…

Q: Example 8: Arranging students into presentation groups If a class has 28 students, how many…

A: In a class of 28 students We have to find how many different arrangements can five students give a…

Q: 6. Counting integers. (Show the details of your computation, not just your final answer) (a) How…

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

Q: Let n be any integer. If n=3k+5 for some integer k. Does 91 6n-3 No, because 6n-3= 18k+30-3 which is…

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Q: For the following problems, simplify the expression (which means, write the smallest non-negative…

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Q: onacci Number Patterns – for this and the next problems, find a list of Fibonacci numbers on the web…

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Q: Consider the following. A = {x | x is a positive integer that is a multiple of 3 and less than 30} B…

A: Given: A=xx is a positive integer that is a multiple of 3 and less than 30B=xx is a positive integer…

Q: For any integer n, n² + 5 is not divisible by 4.

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Q: sequence Consider the arithmetic .. 2, 6, 10, 14,... The 101st term is 274 Write the secursive form.

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Q: Pascal’s Triangle - “Triangular Numbers Squares” The triangular numbers 1, 3, 6, 10,... appear in…

A: We need to answer some questions about the triangular numbers.