How to write the statement "n^2 is odd whenever n is odd" in logical form

Q: State whether each conjecture is true or false.Give a counterexample for any false conjecture. For…

A: False.    conjecture. For all number x, x4 > x

Q: 2. Select any two-digit number. Multiply it by 9. Then add the digits. Keep adding the digits in the…

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Q: Distinguish between finite and infinite?

A: Finite means that the quantity is limited . It does not mean that it can be calculated on the piece…

Q: 2. Make a generalization about the exponents of imaginary numbers, regarding whether or not all even…

A: An imaginary number is generally a complex number like i, 3i, or -2i, where i stands for iota and…

Q: Pigeonhole Principle Prove that among any 100 integers there always two whose difference is…

A: The given problem is to prove the following statement which follows the pigeonhole principle, we…

Q: 3) If every student in a class of 12 students gave a high-five to every other student, write an…

A: We have to find how many high-fives occurred in the class.

Q: is The distributive property says that the number located outside of the parentheses can be applied…

A: Distributive property says that, The number located outside the parentheses can be applied or…

Q: Express the interval shown on the number line in interval notation. -8 4 8. 10 12 -12 -10 -4 -2 () U…

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Q: Supposed repetitions are not allowed. Find the number n of three-digit even numbers that can be…

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Q: elect any two-digit number. Multiply it by 9 . Then add the digits. Keep adding the digits in the…

A: case-i according to question  step-1  select any two digit number let the two digit number be 74…

Q: Determine whether the statement is true or false. Modify each false statement to make it a true…

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Q: 27. Exclusive Or How is the addition rule changed if the exclusive or is used instead of the…

A: Exclusive or means that the two events, let say, A,B have nothing in common. That is, the occurrence…

Q: How many natural numbers are there with a maximum of 7 digits, the sum of which is 31?

A: As per the question we have to find the total number of natural numbers between 0 to 9999999 whose…

Q: A certain natural number is divisible by 3 and also by 5.  When the number is divided by 7, the…

A: Since given certain number is divisible by 3 and also by 5 ⇒it is a multiple of 15 ⇒number will be…

Q: -9-8-7-6 -5 -4 -3 -2 1 2 3 4 5 6789 -2- -3 -4 -5- -6- -7 -8 -9 87 # 00N1

A: Given that, There is a graph in which a streight line is passes. We have to find the equation of the…

Q: Proof that A µ8+-

A: We will prove the required result.

Q: Suppose 51 cars start at a car race. In how many ways can the top 3 cars finish the race? The number…

A: Solution: From the given information, number of cars start at a car race is 51.

Q: By using the direct proof: "Sum of two odd numbers is an even number"

A: To proove: Sum of two odd numbers is an even number.

Q: Suppose 48 cars start at a car race. In how many ways can the top 3 cars finish the race? The number…

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Q: All rational number are real numbers. 1/2 is a fraction number there fore 1/2 is real numbers .  Q…

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Q: Can any one please explain to me each one of this. - Real numbers - Whole numbers - Integers -…

A: Topic = Number system

Q: A true-false test contains 25 questions. In how many different ways can this test be completed?…

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Q: How do the concepts of duality and the golden rectangle relate (Write at least 7 sentences)? Give at…

A: Given below clear explanation

Q: prove that the sum of three odd integers is odd using indirect method. show your solution and…

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Q: Suppose 50 cars start at a car race. In how many ways can the top 3 cars finish the race? The number…

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Q: Find the number of integers between 1 and 10,000, inclusive that are not divisible by 4, 5, 0r 6.

A: Number of integers between 1 to 10,000 which are not divisible by 4,5 or6

Q: True or False Any nonzero integer divided by 0 equals 0.

A: False

Q: Select any two-digit number. Multiply it by 9. Then add the digits. Keep adding the digits in the…

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Q: Find the intersection and union for every positive integer i, when Ai = (-∞, i ], that is the set of…

A: The union and intersection are two important set operations. The union is the addition of sets. When…

Q: The set of numbers {0, 1, 2, 3, 4, ...} is known as the negative integers. whole numbers. positive…

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Q: b Explain how every recurring decimal with an infinite string of 9s can be written as a terminating…

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Q: 17) Use inductive reasoning to conjecture the rule that relates the number you selected to the final…

A: Use the inductive reasoning and form a conjecture: Let us choose the numbers 2, 10, 23 and 45 and…

Q: A student in COBU260 course scores 60 points out of a possible 110 in the first half of the…

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Q: If two integers have the same parity, then their sum is even. (Try cases.)

A: According to the given information it is required to prove that the sum of two integers of same…

Q: I need to create a password for my bank account. I would choose each of the first 5 characters of…

A: Here we solve the number of possible way to make a password...

Q: 3.) An airplane takes off and then climbs 2600 feet. After 25 minutes, it descends 150 feet. What is…

A: Please note that as per our guidelines if multiple questions are posted, we can answer the first…

Q: A student in COBU260 course scores 110 points out of a possible 110 in the first half of the…

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Q: Use the mathematical expression '3' in three sentences; one that is true, one that is false, and one…

A: Write three sentences by using the mathematical expression '3' one that is true, one that is false,…

Q: Suppose 26 cars start at a car race. In how many ways can the top 3 cars finish the race? ..... The…

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Q: The union of the set of rational numbers and set of irrational numbers is:* Null Set Set of…

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Q: Please help me to write this as a proof.  Let n be an integer. If n is the sum of three consecutive…

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Q: A property that, two consecutive positive integers are relatively prime. Consider any two…

A: Proof) Let the consecutive integers be n,n+1 Let the greatest common divisor gcd(n,n+1) = d, Hence,…

Q: 4 There is an infinite number of ways to represent 1 on the number line. In the space below vrika au…

A: We can express 1 in an infinite number of ways Have to write the four expressions multiplying by 1…

Q: Can you develop a formula (and stepwise SHOW your complete thought process in crystal clear…

A: Given, Natural number A and B We have to find the sum of all the natural number between A and B.

Q: four-digit number is formed using the digits 1, 2, 3, 4, 5 and 6 such that no digit can be used more…

A: Given that  Four number of digits :  1,2,3,4,5,6  a..  We have to find  How many distinct four-digit…

Q: The chairs of an auditorium are to be labeled with a letter and a positive integer not exceeding…

A: Given: The chairs of an auditorium are to be labeled with a letter and a positive integer not…

Q: Suppose that all the pages are black and white, but each group of 25 consecutivepages (1-25, 26-50,…

A: To determine the number of ways for the 125 pages to assign to the 5 printers. Given that, the total…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.