A(n) ______ number is a real number that cannot be expressed as a ratio of two integers

Q: Give an example of each of the following: (a) A natural number (b) An integer that is not a natural…

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Q: How much is 0 x , where x is any non-zero number? How much is 0 x for any positive power of x? How…

A: To find x0, where x is any non zero number. for any positive number a, 0=a-a Therefore, x0=xa-a…

Q: The trains will meet (Type an integer a decimal) away from the station.

A:

Q: The cube root of any negative real number is negative.a. Given any negative real number s, the cube…

A: It is given that the cube root of any negative real number is negative.

Q: ab, a+ b, xy, x+y, ax, b+y In the six quantities shown, a and b represent nonzero rational numbers,…

A: Given that a and b are nonzero rational numbers; x and y represent irrationalnumbers.ab, a+b, xy,…

Q: Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh as a…

A: we will solve this question by assuming the age of Diophantus to be x years and then proceeding as…

Q: 5. s* -1 is a multiple of 8 for all natural numbers n

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Q: ) True or False? Statement True False There are integers that are not rational numbers. There are…

A: We can answer the question as per definition of rational number and integer.

Q: (1) How much is 0! ? (by convention on). 0!

A: (1) Given

Q: (c) (c) The sum of a rational and an irrational number.

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Q: What do you think? Why did mathematicians create these different categories? Why may it be helpful…

A: In mathematics the mathematicians the whole numbers, integers and rational numbers. Because of easy…

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: To which rational number subset(s) do the following numbers belong? 0, 2, 4, 8, 10, 12 A. integers,…

A: Consider the numbers  0,2,4,6,8,10,12

Q: 1. Which of the following is CORRECT? a. The intersection of the set of rational numbers and…

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Q: 3.54. If the arithmetic mean of two unequal positive real number 'a' and 'b', (a > b), be twice as…

A: In question, Given that the arithmetic mean of two unequal real numbers a and b be twice of their…

Q: What is the most appropriate translation of the given mathematical symbols below? * να R, α > 0,…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: 5. Express number as ratio of the integers: 7,0(6)

A: By using infinite Geometric progression formula we can solve this

Q: If the decimals 0.4721, 0.4722, and 0.48 are arranged on a typical horizontal number line, which is…

A: given numbers are -  0.4721, 0.4722, 0.48

Q: For the natural numbers that are multiples of 3 and less than 76. a. What is the largest of these?…

A: The natural number that are multiple of 3 and less than 76 are  3,6,9,12,........,72,75

Q: 3) Which diagram best represents the relationship among integers, rational numbers, and w numbers?…

A: As we know thatset of integer is ℤset of rational numbers is ℚset of whole numbers is ℕ∪0

Q: The number 473.1987987987 is rational. Write it as a ratio of two integers.

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Q: How is the product of 2 and-5 shown on a number line? -1D -9 -8 -1 0 1 2 3 5 @ 7 8 9 10 -10 -9 -2 -1…

A: The product of 2 and -5 means that, add the number -5 and -5. That is,  2×(-5)=(-5)+(-5)=-10

Q: Which subsets of numbers does 1 belong to? O real and rational numbers O rational and natural…

A: topic - numbers

Q: 67. For what positive numbers will the cube of a number exceedfour times its square?

A: Let such positive numbers whose cube exceed four times its square be x.…

Q: Give an example of the following: A natural number An integer that is not a normal number A…

A: Give an example of the following: A natural number : 7   An integer that is not a normal number :…

Q: Show that arrangement of odd and even numbers can be rearrange in this ratio 2^n:2 where n=0, 1,…

A: Show that: Arrangement of odd and even numbers can be rearrange in this ratio:…

Q: Determine whether each number is rational or irrational. If it is rational, determine whether itis a…

A: Known fact: A number is said to be rational number if it can be written as pq,  q≠0. A number which…

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

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Q: 1. Which of the following represents all real numbers greater than -4 but not more than 8. A) [-4,8)…

A: 1)

Q: 1. A bicyclist rode a distance of 24 miles in 48 minutes. What was the average rate of the bicyclist…

A: Refer to the question part 1. As the bicyclist rode a distance of 24 miles in 48 minutes.Convert 48…

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 a and b are integers and c is an irrational number, what type of number will the product of…

A: See the details solution in below

Q: icrational Rational integersuthote atured laumberMumbers Real numbers nambers numbers -1.7 /2

A: Table:-

Q: In a certain year the population of a country reached 321 million. The overall birth rate was…

A: As per as our guideline i am supposed to answer only three part of this question Please re-post…

Q: a + (-a)=______ : The sum of a real number and its additive_______ is______ , the additive________.

A: Given- a+-a To complete the statement- The sum of a real number and its additive_______ is______ ,…

Q: 10 ation: an integer or rational number in the

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Q: Is the geometric mean of the first 100 natural numbers greater, equal or less than 50? Show your…

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Q: _2. How would be classified? A. Rational and real numbers B. Whole and integer C. Real number D.…

A: Defination :-  Real number : All numbers are real  Rational number:- Terminating or repeating…

Q: 1. Determine whether or not the following numbers are natural numbers, integers, or rational…

A: Since we have multiple question our guideline is solve first  question kindly repost other question…

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: 21. What is the smallest possible integer that could be the length of the third side of the…

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Q: Using the Error Approximation discussed in class, the smallest integer N for which 16 < .08 is n=N…

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Q: The product of all the natural numbers from 1 to n is written as n! it is read as "n factorial" true…

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Q: 5.54. If the arithmetic mean of two unequal positive real number 'a' and 'b', (a > b), be nwice as…

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Q: A buyer paid ​$41,400​,including the​ buyer's premium, for a car auction. If the auction adds a 15​%…

A:

Q: The product of an odd and an even number is an even number. Consider 15 and 36. What conclusion can…

A: A number is said to be odd if it is not a multiple of 2. A number is said to be even if it is a…

Q: _9. In a number line, the distance of a number from a zero is called the , _of a number. A. Opposite…

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Q: Untitled Question Which lists the numbers from greatest to least? a. 6.2 x 10 3, 0.00062, -6, -V45…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 10. * A calculator has an eight-digit display and a decimal point that is located at the extreme…

A: Given: The calculator has an eight-digit display with a decimal point on the extreme right of the…

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.