If n is a natural number, the number 34n+4 – 43n+3 is divisible by: A 14 B 15 C 16 D 17

Q: In each part, find the greatest common divisor (a, b) and integers m and n such that (a,b) =am+ bn.…

A: The given integers are, a=65b=-91

Q: 4. SA RA

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

Q: Which of the numbers are divisible by 3? Determine the remainder when the number is a. Is 49,875,325…

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Q: Evaluate each expression. 6. 52 7. 53 5/2

A: Q(6)Given:-552To find: evaluate the expressionsolution:552=54+12     =542+12     =52+12     =52·512…

Q: Use the formula for C, to evaluate the given expression. 9C4 3 C2

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Q: Write each as a single factorial. i) 90*8! ii) (n² + n)(n 1)! iii) (n +1)!/(n -1)!

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Q: In each part, find the greatest common divisor (a, b) and integers m and n such that (a,b) =am+ bn.…

A: Given: a=5088b=-156……1   To find greatest common divisor a, b such that: a, b=am+bn……2

Q: Use the table to evaluates each expression, ☆(リ of 2 3 (gogle) 3 4 2 2 2

A: That's easy. Have a good day!!!

Q: For each natural number n, the expression 2* – 7n - 1 is divisible by

A: Concept: Mathematical induction: Mathematical induction is a mechanism for proving a statement,…

Q: evaluate each algebraic expression for the given values of the variables. 3/n + 5/2n - 4/3n for n =…

A: we have to evaluate the given algebraic expression for the given values of the variables.

Q: Which of the following is a integer number? O 6.55 • 0.753249... None of these V4

A: Integer is a number that does not have a decimal point value to it. The first option is 6.55 which…

Q: Which of the following expressions represents the permutation of the 6 keys on a key ring? a.) 6P6…

A: To find Which of the following expressions represents the permutation of the 6 keys on a key ring.

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: In each part, find the greatest common divisor (a, b) and integers m and n such that (a,b) =am+ bn.…

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Q: When written in the simplest form, the answers have the format: А+ Втk and C + Drk where k is any…

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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: Find the product 3/2 (5 /12 + 6/6) and express your answer in the form A/B+ CVD, A, B, C, and D are…

A: Given : 32512 + 66

Q: In the diagram below, ABCD is a rectangle with side lengths AB = 3 and BC = 11, and AECF is a…

A: Properties of rectangle Opposite sides are parallel and equal. Each interior angle has measure of…

Q: (a) How many positive integers divide 10!.

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Find, if possible, AB and BA.

A: AB is not possible  BA is  possible

Q: Find the prefix notation for the expression a/b+ (c - d) * e Select one: O a. ab/cd - e *+ O b. +/ab…

A: Algorithm to convert infix to prefix expression In this case, we have operator's stack, output's…

Q: Find all four-digit numbers abba with the property aa 106 abba if a # b. %3D

A: Given The is the four-digit numbers and .

Q: The greatest common divisor of a and a +5 is a. 5 Ob None O. 1 or a ed. l or 5 Oe. 1

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Q: 15.Identify the type of answer that results from each operation. If the operation is not possible,…

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Q: Vn E N, nº – n is divisible by 6.

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Q: Which of the following would be divisible by 7? (A) x+ 7 (B) 7x + 1 (C) 14x + 21 (D) 77x +11 O A О в…

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Q: 1. For all positive integer n, which of the following expression is divisible by 6? A) 7" – 1 C) 5"…

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Q: If (n+3)! An? + Bn + C (n+1)! determine the integer values of A, B, and C.

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Q: : Find whether A and B are independent in the following case : (AB) = 256 , (a.B) = 768 , (Aß) = 48…

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Q: T 40. For every odd integer n, the integer 11 n- 3 is divisible by 4. L

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

Q: Evaluate the following expressions: 2abc − 3ab if a = 1, b = − 2, and c = 3

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Q: Given A-, - - 2a,, and C---, + 3a,, find A BXC.

A: In this question, we have to find the scalar triple product of the given vectors…

Q: Given A = £10 – ŷ + 22, B = –& + ŷ10 + 2 and Č = î +ŷ + 210. The result of (Å × B) . Ĉ is -£21 – ŷ12…

A: To find  (A*B). C

Q: If Va and Vb are real numbers, then Wa Wb = bVa. a 5. Vab. ab.

A: Solution: Consider the given that an   and  bn we know that an = a1n therefore an × bn =…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Find all four-digit numbers abba with the property aa · 10b = abba if 76. a

A: Four-digit number =abba Given, aa¯.10b¯=abba¯

Q: Evaluate each factorial expression:

A: Givena)10!2!8!b)(n+1)!n!

Q: For the number 360: a. Find the prime factorization of 360. b. Use the prime factorization to find…

A: Value=?

Q: In each part, find the greatest common divisor (a, b) and integers m and n such that (a,b) =am+ bn.…

A: In each part, find the greatest common divisor (a, b) and integers m and n such that (a,b) =am+ bn.…

Q: With usual notations it is given that : Σ p9go475, Σ p.g - 550, Σ pα-545 and Σ p.q 620.

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Q: What is the degree of 24x? O 3 O 2 O 1 O 4

A: To find the degree of 24x^4

Q: Which number is not a coefficient of n in the expression 3n + 8 - n+ 4n O 3 O -1 O 4 O 8

A: We have to find the coefficient

Q: If a and b are prime numbers and a 3 = 675 62 , what is the value of ab? ΟΑ 10 ОВ. 15 OC. 25 OD. 35

A: It is given that  a3=675b2 where a and b are prime numbers. Evaluate the prime factorization of 675…

Q: Use the rules of divisibility to determine whether 6248 is divisible by the following numbers. a. 2…

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Q: In each part, find the greatest common divisor (a, b) and integers m and n such that (a,b) =am+ bn.…

A: Given:                  a= 0 and b=-3;   To determine:                         The integers m and n…

Q: If (n+1)! An² + Bn + C (п-1)! determine the integer values of A, B, and C.

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Q: 6. Determine which of these integers are prime. a) 7· 17 b) 1· 19 c) 109 d) 153 e) 187

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Q: A. Evaluate each expression by replacing n with 1, 2, 3, 4. 2 3 4 1. 4n-1 2. 3-n? 1 3. n-2 n2 4. n-1…

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

A: a=  26 =   2×13 b=  52 =   2×2×13 c=  60 =   2×2×3×5   Therefore, the greatest common divisor is 2…