3. Suppose that a, b and c are positive integers with 2"365c = 36000. What is the value of 3a + 4b +6c?

Q: Determine whether it is possible to express 1 as a liner combination of 1 = m· 44 + n· 91 ,. for…

A:

Q: following figure:

A: The given two angles ∠COD and ∠EOD have common vertex O and common arm OD

Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

Q: the fourth power of an integer is x, and x is between 100 and 600. What is x?

A: It is given that the fourth power of an integer is x.That is, x = n^4, where n is a positive…

Q: If A = {r|- 23 < x < 3how many negative integers does Acontain? Note that: 'I' means 'Such that'

A:

Q: R.1. Show that among 14 distinct integers, there must be two that have the same remainder when…

A: In order to prove this statement pigeonhole principle has to be applied. According to pigeonhole…

Q: Show that the following number is rational by writing it as a ratio of two integers. 5.6057

A:

Q: If m and p are positive integers, which expression must be negative?

A: Let m and p are positive integers ,

Q: 2. Find the missing numbers in the magic square below. 2 13 10 11 6. 12 15 1 4-

A: Consider the provided table,

Q: Q:- Show thet B(n, n) B( n+on+=2 1-40

A: The solution is given as

Q: of the first 150 positive integers?

A:

Q: b. Write the set of natural numbers less than 23 needed) orete answ ers aS

A:

Q: If n is an integer and n 2 1, then the expression 4" + 4-1.3+42.3+ 4-.3+4".3++4 3+ 3 is equal to

A: (c) is correct We have to find the value of 4n+4n-1·3+4n-2·3+4n-3·3+4n-4·3+⋯+4·3+3

Q: 2) The product of an even number and any other number is even.

A:

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

A:

Q: Show that if any eight positive integers are chosen, two of them will have the same remainder when…

A: Pigeonhole Principle- If n items are assigned to m containers, and m&lt;n,then at least one…

Q: If “a” to the power of 2/3 equals 6, then “a” to the power of 4/3 equals what?

A: Using the properties of the exponential functions, it can be written that amn=am×n.

Q: What is the number of nonnegative integer solution of the equations xi + x2 + x3 + x4 + x5 = 27…

A: Given x1+x2+x3+x4+x5=27 where x1≥0, x2≥1, x3≥2, x4≥0

Q: When C>0 and d is a positive integer, the expression (C) d is equivalent to which of the following:

A: We have to find similar expression to given expression.

Q: Find mZH. H 3 8 Write your answer as an integer o mZH = %3! Submit

A:

Q: Suppose, and no are the smallest of two positive integers so that 300x is a perfect square and 300y…

A: The given problem is to find the values of x and y and sum of value of x+y for which smallest…

Q: 9. Suppose that R is a "rectangle"

A: answer is in next step

Q: 2. Suppose a, b, c, d are integers and that (a, b) = (c,d) = 1. If (g) + (á) show that b = ±d. is an…

A:

Q: I'm

A: Given Solution is totally Wrong. Because there used Q+ with addition. We have to show that Q+ is not…

Q: If X ~ N(80, 144) then find (90< x<100).

A: GivenX~N(80,144)Mean(μ)=80variance(σ2)=144standard deviation(σ)=144=12

Q: Suppose that Po * a = 75 and Po * a² %3D determine the value for a. Select one: O 0.73 O 22.22 O…

A:

Q: Solve for x: 32 +104 = x(mod5) O 3 O 2 4. 1,

A:

Q: 7. If ADEF ~ AJKL, find KL. 25 E 6x +3 x + 11 10

A: The figure of the triangles are given by To evaluate : The measure of KL if △DEF ~ △JKL

Q: If 48 ÷ x is a positive integer and x is an integer, what are the possible values of x?

A: We have to find interger

Q: What is the number of nonnegative integer solutions of the equation x1 + x2 + x3 + x4 + x5 = 15,…

A:

Q: How many integer solutions to x1 + x2 + x3 + x4 = 32 are there for which x1≥6, x2 ≥5, x3 ≥3 and x4…

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Q: 5. Use the direct proof to show that " If n is an odd integer, then n2 + 3 is even

A:

Q: d 3?

A: for a 4 digit even number

Q: If m is a positive integer, does 6 divide (2m)(m+2)(3m+3)? True False

A: Here, the given number is: (2m)(m+2)(3m+3)=2(m(m+2))3(m+1)=6m(m+1)(m+2) because multiplication is…

Q: How many integer solutions to x1+ x2+ x3+ x4 = 36 are there for which æ1 > 5, x2 > 3, x3 > 5 and æ4…

A: We have to find the number of solutions to x1+x2+x3+x4=36 for which x1≥5, x2≥3, x3≥5 &amp; x4≥6.

Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

Q: Ifnzo integer with (n+1) (n+3) is ood, then (n+2) (n +9) must be a multiple of 1936 4) None

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: se one) is an integer and x1} is an integer and x21} is an integer and l<x<4}

A: a. The roaster form is given as, 1,2,3,4........ The set-builder form is written as, xx is an…

Q: 5. For which value of Pand Wis P + Wa rational number? 1) P = and W = 3) P = and W = %3D 2) P = and…

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Q: Show that 5 – V7 is an algebraic number.

A:

Q: S. Which statement about 3 multiplied by must be true?

A: 5.       Product of 3,23=3×23=2

Q: is ' (3n– 1)? n=1

A:

Q: How many integer solutions are there to 1 +X2+X3+X4+Xs=31 with

A: Given, x1+x2+x3+x4+x5=31 Number of Solutions when xi≥0 and xi&gt;0.

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: Prove that (AC) =C" A" 6.

A:

Q: How many corresponding integers are made up of 1443 digits taken from (1-2-3-4-5-6) provided that no…

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Q: 4. The area of a parallelogram is 198 square units. If the base and the height of the parallelogram…

A:

Q: what is the Valueaf the sund 2.

A: