the number of words (does not need to be meaningful) can be made using all the letters in "BYE MISSISSIPPI APPLES" such that the last I come before the first E

Q: In the proof of square of an odd number is odd, if you take a=2k+1 is an odd number, where k is an…

A: Let a be an arbitrary odd number. By definition, an odd number is an integer thatcan be written in…

Q: Consider the example "For every integer n, if n> 2 then n2> 4." In this case p represents “n> 2" and…

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Q: [The answers to the following two subquestions(a and b) are INTEGERS.Put ONLY the integer in the…

A: Given the expansion  a 2z3-3z9b y+z5+y-z5

Q: !. 2. Find 100 irrational nember s between o andd 3. Find 50 rational numbers betwee and 2. 4. Fmd…

A: We know  2<e<3 So,   0<e1000<1100      as  e<3<10 So, 0<e103<1100 Define ,…

Q: Let p > 5 be the prime number. Prove that the expression p – 10p +9 is divisible by 1920.

A: We have to prove that the expression p4-10p2+9 is divisible by 1920.

Q: 14. Use the indirect method (contrapositive) to show that "If a + b is an odd integer, then a or b…

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Q: 2. Using quadratic interpolation find In 9.2 from In 8.0-2.0794, In 9.0-2.1972 and In9.5-2.2513.

A: The given problem is find the approximate value of ln(9.2) from the given data by using quadratic…

Q: In the proof of square of an odd number is odd, if you take a=2k+1 is an odd number, where k is an…

A: a=2k+1., Then a^2=(2k+1)^2.

Q: Lael wants a quick way to look up students by their Student ID. In cell Q3, nest the existing…

A: Given formula:   =(VLOOKUP(Q2,StudentRepresentatives[[Student ID]:[Name]],2,FALSE)

Q: rix with even mumber of permuta Q4. If all elements of A and A are integer numbers, what are the…

A: Let A be any n×n Matrix with integer entries

Q: How many 12-digit numbers have all their digits in nondecreasing order? For example, 266888 is a…

A: Let the twelve digits be d1,d2,d3, d4,d5,d6,d7,d8,d9,d10,d11,d12 from left to right. Let a1=d1…

Q: 4. For the incquality 3n+1> n° determine the set of natural numbers for which

A: Introduction: For all-natural numbers, the principle of mathematical induction is a concept that…

Q: Show that if n is any integer, then 3 divides n3 − n

A: To prove:  if n is any integer, then 3 divides n3 − n. Concept used: Here we shall use the identity:…

Q: Find integers ? and ? such that 3220? + 6006? = gcd(3220,6006).

A: Remark: The greatest common divisor (gcd) of two integers is the greatest integer that divides both…

Q: The factorial of n is the product of all positive integers less than or equal to n. It is…

A: Note:Hey there! Thank you for the question! We have solved this problem using trial-and-error…

Q: Criven and any integers a,b and C,if a-b is odd b-c is even, what can you say about the parity of…

A: Givenany integer a,b,cand a-b is odd number (given)so ie a-b=2k+1 --(1)where k∈zandb-c is even…

Q: How many integers greater than 5400 and less than 10000 have both of the following properties: -…

A: To count the number of positive integers satisfying all the required properties

Q: Show that for all integers m and n, if the remainder is 2 when m is divided by 4 and the remainder…

A: we have to Show that for all integers m and n, if the remainder is 2 when m is divided by 4 and the…

Q: 3. Consider the word PERMUTE and all the ways you can arrange its letter using each letter only once…

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Q: What is the 4th term in the n = 8 row of Pascal's Triangle?

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Q: If n is any integer then n and n5 will have? (mcq) A. Both are divisible by 5 B. 10s place is…

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Q: * if the o is not known and (n< 30) can be used z O

A: Which one is the correct choice

Q: se indirect proof to show that, "If n is an integer and 3n + 2 is even, then n is even

A: Let us solve the classical algebra problem in the next step.

Q: The difference of any two odd integers is even. Proof: Let m and n be any odd integers. By…

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

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Q: 2. The number of ways of arrangingr objects from n objects in order is called the number of . of n…

A: Given: The number of ways of arranging r objects from n objects in order is called thenumber of…

Q: a) Define the greatest common divisor of two integers. b) Describe at least three different ways to…

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Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

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Q: A box with a square base and no top is to be made from a square piece of cardboard by cutting 2 in.…

A: Let consider that x be the length of one side of the cardboard When 2 inches are removed from each…

Q: Consider the following statement. For every integer m, 7m + 4 is not divisible by 7. Construct a…

A: See the solution below.

Q: An employee of a car parts store was mistaken and saved the defective flashlights, along with the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A recent study shows that 18% of adults in the US do not use the Internet. Suppose that 12 adults…

A: It is given that n =12 and p =0.18.

Q: Suppose that 56 % of students play football, 53 % of students play cricket, and 12 % of students…

A: Let F=students play footballC=students play cricketGiven,P(F)=0.56P(C)=0.53P(F¯∩C¯)=0.12

Q: 2. Suppose that your scores on the first four tests in a course are 75, 82, 60, and 91. There is one…

A: Given score of four tests is 75,82,60,91

Q: is the number of words (does not need to be meaningful) can be made using all the letters in BYE…

A: To find number of words can be made using all the letters in the word BYE MISSISSIPPI APPLES.

Q: I am trying to figure out how to make a know-show table for the question If m is an even integer,…

A: We can make a know-show table for the given condition.If m is an even integer, then the expression…

Q: R.2. Show that among 29 distinct integers, there must be a set of 5 integers all of which have the…

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Q: A boy imagined four-digit multiple of 5 with different digits. If the first digit is erased, the…

A: Given that  A boy imagined four digit number If the first digit is erased the obtained number is a…

Q: If  n×k divisible by 4, then n is divisible by 4 or k is divisible by 4. Which of the following is…

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Q: Let p > 5 be the prime number. Prove that the expression p* - 10p? + 9 is divisible by 1920.

A:

Q: 3. There are seven students who always compare their CS test grades. They discovered that either the…

A: It is given that there are seven students who always compare their CS test grades. They discovered…

Q: 1. Provide counterexamples to show why there is no commutative property for sub- traction or…

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Q: nd [Po90].

A: answer is in next step

Q: 4, 2. Karina and Perry are cleaning up litter in the park for comm Perry both claim they have…

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Q: 2. Using quadratic interpolation find In 9.2 from In 8.0=-2.0794, In 9.0-2.1972 and In9.5-2.2513.

A: The given problem is find the approximate value of ln(9.2) with given data points by using the…

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: 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: 4. Find them if: (a) lcm of two consecutive positive integers is 812; (b) lcm of twin primes is 899.

A:

Q: 3. A divisibility test for divisibility by 13: а. Prove that 13|(10x + y) if and only if 13|(x +…

A: