The whole number p is greather than 0, a multiple of 6, and a factor of 180. Hoe many possibilities are there for the value p?

Q: 4 - Find the QR factorization of A -4 Ex: 1.23 : Q Ex: 1.23 R =

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Q: ON subtracting 8 from x the result is 2 . Then Find the value of x

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Q: ( - 2k) is O(n) k=3

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Q: 39. (K - 2k) is O(n°) k=3

A: 39 Given ∑k=3nk2−2k. Since, ∑k=3nk2−2k can be written as follows ∑k=3nk2−2k=∑k=1nk2−2k−∑k=13k2−2k…

Q: Consider the following problems related to counting non-negative integer solutions to x₁ + T₂+3+4 =…

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Q: For this problem, assume that all the odd numbers are equally likely, all the even numbers are…

A: It is given that P(3) = 5/18.

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: a ne Zin is a factor of 6) 2 Write in words how to read each of the following d. ne Z'in is a factor…

A: For the solution of the problem follow the next steps.

Q: f 2 is one root of the equation 4x3 + kx – 24 = 0, then the value of k is       8   –1…

A: The standard form of a cubic equation is given by ax3+bx2+cx+d=0, where a≠0. If a=0, the cubic…

Q: The sum of any two integers of the from 4k+ is always: a) prime b) zero c) Even

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Q: How many positive integer solutions are there to x1 + x2 + x3 + x4 < 50 ?

A: We want to find the number of tuples x1, x2, x3, x4 that satisfy the given inequality. Note that for…

Q: This question must be solved by "factoring". Be sure to show your work accordingly. 1 - 10 = 3x o…

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Q: When the smallest of three consecutive odd integers is added to four times the largest, it produces…

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Q: This question must be solved by "factoring". Be sure to show your work accordingly. (n+ 1) (4n + 1)…

A: Factoring of equation is

Q: How many solutions are there to the equation a + b + c + d + e = 505 if each of a, b, c, d, and e is…

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Q: (a) Find the number of digits between 4000 and 12000 inclusive that are divisible by 13 or 31. (b)…

A: The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple. For two…

Q: 10. If the product of N consecutive posi- tive integers is divided by N, the remainder is always (A)…

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Q: 11.) The sum of four consecutive even integers is 68. Find the four consecutive even integers. What…

A: We know that an even integer is always divisible by 2. Let the first even integer in the consecutive…

Q: How many ways can the letters of the word "EQUATION" be arranged if "NOTI" must be next to each…

A: Here we will use the concept of arrangement of words by using factorial for the given words…

Q: 2. Find the factors of N = 34571 by computing the values of N+1°, N + 2°, N +3?, N + 4°, … .. until…

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Q: 1. A positive integer is six less than the other integer. 14 The sum of the reciprocal of the two…

A: As per our company guidelines, we are supposed to solve first question for you. Please repost other…

Q: A positive integer is 4 less than another. If 6 times the reciprocal of the smaller integer is…

A: Let the smaller integer is 'x' and larger integer is 'y'.A positive integer is 4 less than…

Q: - The sum of two different positive numbers is always A) a multiple of 4 B) even C)

A: We have to find

Q: Use the formula for nCr to solve, There are 14 standbys who hope to get seats on a flight, but only…

A: Formula used: Crn=n!(n-r)!r!

Q: 1. Specialize the formula in (*) for k = 6. 2. What are the variable you want to solve for? 3. How…

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Q: Show that we can easily factor n when we know that n is the product of two primes, p and q, and we…

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Q: (Ā+B) • Č, if à = (1, 2, 3), B = (-2, 3, 0) and Ở = (5, 3, 2) Solve for А. 10 В. 12 С. 14 D. 16

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Q: Simplify the ratio of factorials (4n + 1)! /(4n + 3)!

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Q: 9) 512 = n n=64

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

Q: A plant grows 5 inches taller each day. During a period of 3 days, how many different values will…

A: Explanation of the answer is as follows

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: Show that 3 + V5 is irrational number

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Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: 4. How many positive integer solutions are there to the equation: X1 + x2 + .…+ x6 = 20

A: Formula: The number of positive integer solutions to the equation x1+x2+x3+···+xr =n are Cr-1n+r-1.…

Q: For what values of a and b are x +1 and x +2 factors of xr² ax-bx -82 Write down the other factor.…

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Q: Solve: If n is a known positive integer for what number c is (xn-1dr =

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Q: 6. Find the positive number that when multiplied by 15 is equal to its square subtracted from 34.

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Q: What are 2 different ways to solve for x in the following: (x-7)/8 +(x-3)/2 = 2

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Q: 100 Evaluate > (k² + 4k + 3) k=1

A: use sum formulas

Q: For this problem, assume that all the odd numbers are equally likely, all the even numbers are…

A: Assuming that a die is thrown, which has 6 possible outcomes as 1,2,3,4,5,6. Then the question is…

Q: Simplify the ratio of factorials. (3n – 1)! (3n + 1)!

A: Simplify the ratio of factor.      3n-1!3n+1!

Q: 7) Divide x2 - 4x + 11 by x - 3 Show to So Solve by What -( What 1). remainder.

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Q: How many positive integer solutions are there to x1 + x2 + x3 =15 ?

A: From the given information we want to find How many positive integer solutions are there to x1 + x2…

Q: For which positive integers $n$ greater than or equal to 2 is $\sqrt[n]{a^{n}}=a$ always a true…

A: We need to check for all the values to get the result

Q: 2n? - п +1 (а) а, — In 2n2 + 10n – 7 on

A: Explanation of the solution is given below....

Q: 134. Ify = -3(x + 2)² + 1, where x is an integer, what is the greatest possible value of y? А. - В.…

A: Let's find.

Q: How many real-number solutions are there to the quadratic equation 2x2 + 5x + 1 = 02 a. eslim b. 1…

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Q: Suppose n is odd. Find the cube of n and divide it by 4. What possible remainders could occur? Check…

A: Solution

Q: Σ 1 and ao = 20 If an 유 then an+1 is 4 n=0 n=0 1 80 3 10 1/4 15 1/6

A: Given that                       ∑n=0∞an=14 and a0=120.

Q: Simplify the ratio of factorials. (4n + 1)! (4n + 3)!

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.