) Check all the numbers that are divisors. a.) 288

Q: Write in listing or roster form. N = ( x|x is a positive integer and is a divisor of 18) Choices:…

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Q: SUC 5. Using the letters in SAMP ALOC LAKE, how many distinguishable permutations are there?

A: SAMPALOC LAKE  S=1 A=3 M=1 P=1 L=2 O=1 C=1 K=1 E=1

Q: 3. Consider a set of numbers B = {n E Z|1<n< 900} Answer the following questions. (a) How many…

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Q: 3. Let z and y be 3-digit numbers such that y is equal to r written backwards. For example, if x =…

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Q: If a is divisible by b, then bq, for some integer q. a = ulgn O ihi O

A: We have to check whether the statement, "If a is divisible by b then a=bq for some integer q" is…

Q: Every natural number n > 2 cam be written n = P1P2 Pr as the ... product of distinct prime numbers…

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Q: Which set below contains the integer zero? Group of answer choices Z Z+ Q+ N+

A: We know Z is set of all integers (Z={.....-1, 0, 1, 2, .......}) hence it contains 0 Z+ is set of…

Q: Does 2|0? O Yes, because 0 = 0· 0. O Yes, because 2 = 0 · 0. O Yes, because 0 = 2 · 0. O No, because…

A: We have to check

Q: Let U = {ne N:ns 200}, find the number of elements of U that are divisible by 2, 3, or 5.

A: The formula for A∪B∪C is defined as A∪B∪C=|A|+|B|+|C|-A∩B-|B∩C|-|C∩A|+A∩B∩C .

Q: If k is divisible by 20 and 18, then k is also divisible by (A) 16 (B) 19 (C) 27 (D) 30 (E) 38

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Q: Fill in each blank so that the resulting statement is true. If n is odd, n√an = ............ ?

A: we have to fill the blank so that the resulting statement is true. If n is odd, nan= …

Q: Find the greatest common divisor of a, b, and c and write it in the form ax + by + cz for integers…

A: Given that, a = 14  ;  b = 28  ;  c = 35 Then the greatest common divisor of a, b and c is the GCD…

Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: Decide the behavior (AC, CC, or D) of . n=2 nVlnn nyInn

A: Absolutely Convergent:  ∑n=1∞ an  is called absolutely convergent if ∑n=1∞ an converges…

Q: Consider the following set of numbers: List the numbers in the set that area. natural numbers. b.…

A: Natural numbers are the counting numbers. eg: 1,2,3.... Whole numbers are natural numbers including…

Q: Use the given information to find m21. m24 = 117° m21 = (2x)° m2= (x + 21)° m21= 4.

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Q: Every natural number n > 2 cam be written n = P1P2 Pr as the ... product of distinct prime numbers…

A: True

Q: So is it A, B, or C and fill in one the missing in whichever the correct letter is.

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Q: Prove the statement: For all integers a, b, and c, if a² + b² =

A: Introduction: Proof by contradiction (also known as indirect proving or the method of reductio ad…

Q: Suppose that E and F are points on the number line . If EF = 11 and E lies at 3, where could F be…

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Q: Find the number of permutations of the letters in the word COEFFICIENT provided that all words start…

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Q: a) Arrange the digits 0, 0, 2, 2, 3, 5, 7, 8, 9 to make a 9-digit number that is divisible by 2, 3,…

A: Use divisibility rules to easily solve the problem in the least time possible.

Q: A(n) __________is a letter used in algebra to represent anynumber from a given set of numbers

A: In algebra, there are different set of numbers such as Real numbers, Complex numbers, Rational…

Q: A(n) _________ is a letter used in algebra to represent any number from a given set of numbers.

A: A(n) _________ is a letter used in algebra to represent any number from a given set of numbers.

Q: d) Let A be the set of integer multiples of 8 and let B be the set of odd integers. Is {A, B} a…

A: We have to solve above question

Q: Find the number of divisors of n= 2020. %3D (а) 24 (b) 6 (c) 12 (d) None Answer B C. Submit

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Q: 9. 10. What is t divisors?

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Q: If a is divisible by b, then bq, for some integer q. las

A: If a is divisible by b, then, a = bq for some integer q.  TRUE

Q: a) Find how many numbers in A are not divisible by 13 and 7. (b) Find the number of subsets B C A…

A: Given that                       A=1, 2, . . . , 999

Q: Construct ∠D so that ∠D ≅ ∠C.

A: Construct ∠D so that ∠D ≅ ∠C.

Q: a) Arrange the digits 0, 1, 1, 1, 2, 4, 5, 6, 7 to make a 9-digit number that is divisible by 2, 3,…

A: (a) Divisibility test of 2: The last digit of the number will be 0, 2, 4,  6, 8. So, the required…

Q: If α = a (123456), show that a = (16)(15)(14)(13)(12).

A: A linear transformation is a function from one vector space to another that respects the underlying…

Q: 13 Draw a diagram in which the intersection of LAEF and ZDPC is ED.

A: We have to draw a diagram in which the intersection of ∠AEF and ∠DPC is  ED→.

Q: Let B = {dog, house, cheese, book, car, phone, egg, square}. How many subsets does B have? How many…

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Q: that is coterminal with 4 50° that is coterminal with 660°.

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Q: Determine a number that is divisible by 2, 4, 6, 7, and 8. ... Which of the following numbers is…

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Q: If ALMN = AQRS then N [?] Enter the letter that belongs in the green boX.

A: If the three angles and the three sides of a triangle are respectively equal to the corresponding…

Q: 42. 137 3 and 60° are coterminal.

A: Answer  Find angle that is positive ,less than 2π and coterminal with 13π/3  Subtract 2π from 13π/3…

Q: Find the number of positive divisors, the sum of the positive divisors and ∅ of the following…

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Q: if m is odd and n is odd, demonstrate that m*n=odd

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Q: Use the 'Permutations' formula to evaluate the expression P(29, 3).

A: Given that the expression: P (29, 3) The permutation formula is given by, Pn,r=Prn=n!n-r!…

Q: Order the expressions by choosing >, < , or = 34 x 33            37  33 x 43            124 34 x…

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Q: are divisible by either 7 or 13 but not by both? have distinct digits? Instructions: Type a…

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Q: 3. Let z and y be 3-digit numbers such that y is equal to x written backwards. For example, if x =…

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Q: The number of elements in As is O 5 120 60 O 25 O O

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Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10

Q: Determine a number that is divisible by 2, 5, 6, 7, and 14. Which of the following numbers is…

A: A number x is said to be divisible by another number y if we can divide y with x and get a whole…

Q: Evaluate each of the following: 557 9 127 7 229 4 56 3

A: