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

Q: lon of mtegradoM Sthe nte Shitch the and evaluate -2T -T

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Q: what integer is closer to 6

A: given: the integer is six.

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Q: Find the number that provides a counterexample to show that the given statement is false.   For…

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Q: For integers x and y, consider the statement \if x is odd and xy is even, then y is even." Give the…

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Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

Q: Is there an associative property of subtraction? That is, is it always true that a – (b – c) = (a –…

A: To write that the associative property exist for substraction

Q: If A = {r|- 23 < x < 3how many negative integers does Acontain? Note that: 'I' means 'Such that'

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Q: Evaluate ∫π20cos2xdx 23 2 3 −12 - 1 2 None 0

A: The given integral is: I=∫0π2 cos(2x) dx

Q: If m and p are positive integers, which expression must be negative?

A: Let m and p are positive integers ,

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A: The location of 0.47 is between two hash marks on the number lies 0.4 and 0.5. The 0.47 closet to…

Q: If n is an integer and n 2 1, then the expression 4" + 4-1.3+42.3+ 4-.3+4".3++4 3+ 3 is equal to

A: (c) is correct We have to find the value of 4n+4n-1·3+4n-2·3+4n-3·3+4n-4·3+⋯+4·3+3

Q: Suppose that B and C are points on the number line. If BC = 7 and B lies at - 5 , where could C be…

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Q: 2) The product of an even number and any other number is even.

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Q: When C>0 and d is a positive integer, the expression (C) d is equivalent to which of the following:

A: We have to find similar expression to given expression.

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

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Q: Find all four-digit numbers abba with the property aa . 10b= abba if a is not equal to b.

A: We know if abcd is a four - digit number then, abcd = 1000a+100b+10c+d

Q: If the product of two integers is 2'3*5?7!" and their great- est common divisor is 2°345, what is…

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Q: If a ≠ 0, the degree of axnym is___________.

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Q: Is the statement, "If a number is divisible by 2 and 3, then the number is divisible by 6" true or…

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Q: In Marissa's calculus course, attendance counts for 15% of the grade, quizzes count for 15% of the…

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Q: (b) An integer is divisible by 3 if and only if the sum of its digits is divisible by 3.

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Q: State the contrapositive and converse.  If m and n are odd integers, then mn is odd.

A: Given statement is : If m and n are odd integers, then mn is odd. p : m and n are odd integers q :…

Q: Suppose that B and C are points on the number line. If BC = 10 and B lies at - 4 , where could C be…

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Q: If −8cos2θ−4=−12, where 0≤θ<2π, what are the values of θ?

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Q: Suppose that B and Care points on the number line. If BC = 11 and B lies at - 3 , where could C be…

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Q: 2(5) – 3(1 – 6) Is even integer?

A: If an integer is divisible by 2, then it is called an even integer. For example, 2,4,6 etc. are even…

Q: If m is a positive integer, does 6 divide (2m)(m+2)(3m+3)? True False

A: Here, the given number is: (2m)(m+2)(3m+3)=2(m(m+2))3(m+1)=6m(m+1)(m+2) because multiplication is…

Q: In Marissa's calculus course, attendance counts for 10% of the grade, quizzes count for 20% of the…

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

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Q: Which of the following is an Integer ?

A: Given,           Ingeger number.

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

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Q: if a*b = even, demonstrate that a is even or b is even

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Q: se one) is an integer and x1} is an integer and x21} is an integer and l<x<4}

A: a. The roaster form is given as, 1,2,3,4........ The set-builder form is written as, xx is an…

Q: Show that every odd integer is the sum of two consecutive integers

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Q: Which of the following statements is correct ? If a coefficient is significant at the 10% level, it…

A: Decision rule: If p-value≤α, then reject the null hypothesis. The data is significant. When the…

Q: is ​{x | x is a fraction between 71 and 72​} finite or infinite

A: We will solve the problem. There are infinite real numbers between any two natural numbers. These…

Q: Show why the equality erfin) +erfelx) = { sats fred? is

A: The error function erf (x) is defined as follows, erf (x)=2π∫0x e-t2 dt The complementary error…

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: What is the inverse of the proposition: “If 2 is an even number, then 2 is rational.” ?

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Q: Is it true that for any odd n the number 2" +1 is divisible by 3? Prove your answer.

A: We prove this by using PMI(Principle of Mathematical induction)

Q: In Marissa's calculus course, attendance counts for 5% of the grade, quizzes count for 15% of the…

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Q: n​ Marissa's calculus​ course, attendance counts for 15​% of the​ grade, quizzes count for 15​% of…

A: Given data is, attendance counts for 15​% of the​ grade, quizzes count for 15​%of the​ grade, exams…

Q: if n zo is an integer, then n!=n(n-)3.21 ...

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Q: 4. The area of a parallelogram is 198 square units. If the base and the height of the parallelogram…

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Q: Use a counting argument to prove the following. (*:) - (9) - C) - + ab 2

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Statements and Logic

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