Find the least natural number a with the property that the sum a + 2ā + 3a + ...+ 9a is the number with the same digits.

Q: In a “Pick-4” game, a player wins a prize for matching a 4-digit number from 0000 to 9999 with the…

A: Given: A player wins a prize for matching a 4-digit number from 0000 to 9999 with the number…

Q: A teacher places n seats to form the back row of a classroom layout. Each successive row contains…

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Q: Find the greatest natural number n such that n + 10 divides nº + 100.

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Q: Find the largest value of n such that: >(3k - 8) < 2021. k=1

A: NOTE: Refresh your page if you can't see any equations. .

Q: a. Find all pairs of integers such that one is a multiple of 7 and the other is a multiple of 11 and…

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Q: Find the largest value of n such that: > (6k – 8) < 3000 k=1

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Q: Deduce expressions for the sum of the first 2n positive integers and the sum of the first n positive…

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Q: For some real numbers m and n, the list 3n2, m2, 2(n + 1)2 consists of three consecutive integers…

A: For some real numbers m and n, the list 3n2 ,  m2  , 2(n + 1)2  consists of three consecutive…

Q: You begin solving a jigsaw puzzle by finding two pieces that match and fitting them together. Every…

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Q: Choose what method of proof to use always provide solution.   a) Prove that if the sum of any two…

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Q: Find The Least Natural Number a With The Property That The Sum a + 2a + 3a +...+ 9a Is The number…

A: Given sum a + 2a + 3a +...+ 9a

Q: Find an integer such that its square is 81 less than 18 times the integer

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Q: Find the smallest positive integer N that satisfies all of the following conditions: • N is a…

A: We have to find the smallest positive. N'that satisfies all of the following conditions: N is a…

Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

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Q: Discrete

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Q: How many numbers between 1 and 10000 have the digits 1,3, and 5 such that each digit appears exactly…

A: Here Numbers between 1 and 10,000 have digits 1,3,5 and each appears exactly once only

Q: Find the sequence of pseudorandom numbers generated by the power generator with p = 7, d = 3, and…

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Q: If k is a positive integer, find the (n!)k + 6 Σ ((k + 6)n)! n = 0 R =

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Q: FIND THE SMALLEST n So THAT I

A: In this question, we have to find n for given |Rn|&lt;0.0001.

Q: 6.) Find the sum of the first 50 positive integers ending in 6.

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Q: (b) Find the sum of the first 110 positive odd integers.

A: Our Aim is to find the sum of the first 110 positive odd integers.

Q: If product of two consecutive odd integers is 63, then the integers are: 7, 9 9, 11 7, 11 7, 13

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Q: of all positive integers Find the sum less than 200

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Q: Every odd prime number is greater than 2.

A: Given: "Every odd prime number is greater than 2." To find: Statement in the form "If p, then q"…

Q: Abby notices that for the first twenty perfect​ squares, each square is either a multiple of​ 5, one…

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Q: 5. Given a real number x and a positive integer k, how many multiplications are used to find kx by…

A: Given,A real number x and positive integer kTo find: Total number of multiplications used with the…

Q: How many consecutive zeroes are there at the end of 100! (100 factorial). For example, 12! -…

A: How many consecutive zeroes are there at the end of 100! We know that…

Q: Estimate. Then, use the standard algorithm to solve. Express your products in standard form. b. 65 x…

A: (a) 4.2×34 Solve the multiplication. 4.2×34=1428×10-1=142.8 The standard algorithm solution is,…

Q: Find the sum of all even integers from 10 to 500

A: Sum of all even integers from 10 to 500 .

Q: 3. a, =a,,+4", for each integer k21, a, =3 30

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Q: Find a number d>0 such

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Q: Determine all prime numbers a, b and c for which theexpression a² +b² + c² - 1 is a perf

A: Given expression:   a2+b2+c2-1

Q: Find all pairs of consecutive odd natural numbers, both of which are larger than 10, such that their…

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Q: Find all prime numbers pand of for which 2p²q + 45 pp ² = y² 2 де

A: Given:

Q: A positive integer is 4 less than another. If 3 times the reciprocal of the smaller integer is…

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Q: a) Prove that the sum of the squares of two odd integers is always even.

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Q: The sum of the digits in the number 56 is 11. (5+6=11) a) Show that the sum of the digits of the…

A: a) Sum of the digits from 15 to 18 1+5=6 1+6=7 1+7=8 1+8=9 Now 6+7+8+9=30

Q: In a round-robin chess tournament, each player is paired with every other player once. The formula 2…

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Q: the sum. In the tile pattern below, the first block affangement has 1 block, the second block…

A: Please see the explanation below

Q: 10. Find the least nonzero integer a that makes v150a an integer.

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Q: Find the sum of all integers from 41 to 83. The sum of all integers from 41 to 83 is

A: Detailed Solution and Explanation is given below....

Q: Find the sum of all natural numbers n such that 2021-n/99 is a natural number ?

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Q: rove that the sum of an even integer and an odd integer is odd.

A: Prove that the sum of an even integer and an odd integer is odd.

Q: Abby notices that for the first twenty perfect squares, each square is either a multiple of 5, one…

A: If n is a natural number, then n2 can be written as 5k- 1,5k, or 5k +1, where k is a whole number.…

Q: Find the sum of the first 19 odd positive integers. Need Help? Read It

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Q: Prime divisors of two numbers a and b are 2,3 and 5 and product of these numbers a and b is 5400.…

A: The prime factors of the two numbers are 2, 3, and 5 and the product of these two numbers is 5400.

Q: There are 8 seats in the first row of a theater, 12 seats in the second row, and 16 seats in the…

A: Given ,  There are 8 seats in the first row of a theater , 12 seats in the second row , and 16 seats…

Q: 2. Estimate. Then, use the standard algorithm to solve. Express your products in standard form. a.…

A: Given: (a) 3.2 and 47 (b)3.2 and 94 first we need to estimate the product given two number in each…

Q: Find the sum of the divisors of 120. Generalise the result for an arbitrary natural number M

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