My question is The product of two integers will have the same sign as the quotient of the two integers. Is this statement sometimes true, always true or never true?

Q: is the set of irrational numbers closed for: a) addition and b) multiplication

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Q: Show that √2 + √3 is irrational.

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Q: What is the result of 1+1?

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Q: For all numbers x,x^4>x. True or false?

A: Given: x4>x To find all numbers of x, the given inequality is true or false.

Q: nen 1/2 is a positive odd integer. ed

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Q: TRUE OR FALSE  x and y are POSITIVE integers.

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Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: Given that : The statement is  [(-7)(4)](-25) = (-7)[4(-25)] .

Q: If a number has n fraction (n>1), then the square of the number has 2n factors is this true

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Q: What two positive real numbers whose product is 19have the smallest possible​ sum?

A: We want to find the two positive real numbers whose product is 19 and the smallest possible sum.

Q: A and B are two positive integers. A and B are consecutive If the product of A and B is 4290, then…

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Q: What is any expressions raise to the power of zero is equal to?

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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: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: Consider the given statement, 6+-2+4=6+-2+4  the associated property of the Addition states that if…

Q: Prove that given any set of eight integers, there is a pair among them whose sum or difference is…

A: Let n1,n2,n3,n4,n5,n6,n7,n8 be the 8 integers. Let ni≡rimod12 where 0≤ri<12 Suppose, no two of…

Q: Identify the property of integers being illustrated in 1[2( 4)] = (1 • 2)(¯ 4).

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Q: The product of   √4 and ¼ is

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Q: A student has scores of 78, 77.25, and 81.75 on his first three tests. He needs an average of at…

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Q: Find A1 if it exists. 2-5 A = 1 3

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Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: The given equation is -1(x + y) = -(x + y).   Multiplication property of negative one: If a, is a…

Q: If statement A is false and statement B is true what is value for ~(A->~B) ?True or false

A: Generating the truth table for the expression:

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

A: False

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: 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: what is the coefficient of X^9 in (x+3)^13

A: An algebric expression of two number connected by operations "+" or "-" is called binomial. The…

Q: number that can be expressed in the form ?/?, where a and b are

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Q: Three good friends are the same algebra class. Their scores on a recent test are three consecutive…

A: Given:       Sum of three consecutive odd integers =279     Three consecutive odd integers are…

Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: Given:                      -3 (2+ 4)= -3(2) +(-3)(4)   To determine:                         The…

Q: the qoutient of seven and the difference offour and a number

A: Since we have to find the expression for the quotient of seven and the difference of four and a…

Q: An ________ is a statement that equates two algebraic expressions.

A: We have to fill in the blanks: An ---- is a statement that equates two algebraic expressions. We…

Q: If x and y are different positive integers and 5^x times 5^y= 125, what is the value of xy

A: Given x and y are different positive integers.  5x times 5y is 125. i.e. 5x.5y=125

Q: If x > 4, then x 2 > 16.

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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: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: How a single interpretation is possible for μ1 – μ2?

A: The parameter of interest is the difference in population means, μ1 - μ2. Where, μ1 and μ2 are the…

Q: how would I put all real numbers as an answer for H

A: Domain is the input that a function can take. So  If you put any value of x in h(x) then you will…

Q: Show that 3-4" + 51 is divisible by 3 and 9 for all positive integers

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Q: If 5(2r - 1) - 35, then x

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Q: What two positive real numbers whose product is 11 & have the smallest possible​ sum?

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Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: It is given that (3/4)(4/3)=1.   The given multiplication of 2 fractions is defined by Inverse…

Q: Which of the following is an Integer ?

A: Given,           Ingeger number.

Q: Suppose a deep sea diver dives from the surface to 500 feet below the surface. He then dives down 25…

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Q: How many zeros are there at the end of 1001?

A: This question is related to Number Theory

Q: An algebraic expression of the form a + b, which consists of a sum of two terms, is called a

A: A algebraic expression of the form a+b, which consists of a sum of two terms, is called a _______.

Q: The operation * is defined over the set of real numbers "R" by a * b = a + b + 1/2ab. What is 6 * (2…

A: Given that the relation defined on real number R as a*b=a+b+12abTo find 6*(2*5)?

Q: What are integers and how can it be easy for me to use them?

A: An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore,…

Q: F= {c:c is a integer number, c² is negative}

A: Concept: A set is called finite set if set contains countable number of elements.  Means cardinality…

Q: n help asa

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Q: Write one example of an algeebric expression of a single variable "x" (with all real number…

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Statements and Logic

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