3. 1 Rational numbers such as 27 and - 1, are examples of numbers.

Q: The set of all odd numbers between 100 and 110 that are a multiple of 3

A: We need to find the set of all odd numbers between 100 and 110 that are a multiple of 3.List of all…

Q: show that SZ+5 is irrational number

A: If a number cannot be written in ab form, where a and b are integers is known as an irrational…

Q: (a) A list a1, a2, a3, a4 of rational numbers is defined so that if one term is equal 41 then 29 to…

A: Note: We are entitled to solve only one question at a time. As the questions are not related and the…

Q: 27. I. = (7? + 4)³/2 - 8) × 14.55 } (x² - + 4)2 – 8) 2 14.55

A:

Q: Show that 3 + V5 is inational number

A: Let 5^1/3 is a rational numbers. So, we can write it as 5^1/3=p/q ………….(I) according to the…

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

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Q: -3 = X 5.2· 10 x = (5,2· 10-6). 2.33 · 10 In

A: Given: x=5.2×10-6ln2.33×10-3x

Q: List the set of integers that satisfy the given conditions; a positive multiple of 5 and not a…

A: The given condition is that element of the set should be positive multiple of 5 and not a multiple…

Q: How many 5-digit even numbers can be formed using the digits 2, 4, 6, 7, 9 if no repetition is…

A: Given:

Q: 10. If the product of N consecutive posi- tive integers is divided by N, the remainder is always (A)…

A:

Q: Write the number $2.3 \overline{17}=2.3171717 \ldots$ as a ratio of integers.

A:

Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: Suppose  X ~ N(8, 1).  What value of x has a z-score of −2.25? (Enter an exact number as an…

A: X ~ N(8, 1).  What value of x has a z-score of −2.25? (Enter an exact number as an integer,…

Q: How many mombers between 50 and 200 can be expressed as 4k-1, where k is an integer?

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Q: 12. Find three consecutive even integers such that the sum of the smallest integer and twice the…

A:

Q: 11.) The sum of four consecutive even integers is 68. Find the four consecutive even integers. What…

A: We know that an even integer is always divisible by 2. Let the first even integer in the consecutive…

Q: -28 5. How is can be express as rational number with numerated the number 4? 84 O4/7 O-4/12 O-4/7…

A:

Q: If n is an even integer then 7- n3 ) is an odd integer. ) is an even integer. is sometimes even and…

A:

Q: 29. A rational in disguise. Show that the number (v2") is a rational number even though it might…

A: 29)

Q: Which of the following is FALSE about the relationship between whole numbers and rational numbers? O…

A: We are given 4 statements regarding knowledge in whole number and rational numbers. We need to find…

Q: (c) Show that 3/2+ 2/3 is an algebraic number?

A:

Q: How many munbers from 1 till 10000 are NOT divisible by 3, 8, 16 and 7?

A: Here, we have to find the total numbers from 1 to 10000 are not divisible by 3, 8, 16, and 7.  Let A…

Q: 1 The rational numbers such as 5 and are examples of fractions. 10

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Q: Suppose that m and n are real numbers with m + 5n = 10. Find the least possible value of the…

A:

Q: How far did they calculate out before making that decision … 1000 places ….10, 000 places? How many…

A: Given: To explain the given statement as follows,

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: 7) tan Z 25 15 20.

A:

Q: 16. Find the positive integer that maximizes the sum of the numbers and its reciprocals?

A: Take integer and add them with his reciprocal Diifferenciate and get

Q: is an integer greater than 1 Quantity a= the tens digit of N Quantity b= 0 which is greater or…

A:

Q: Refer to Example 3 to find a value of 8 > 0 such that 1 then 1 If 0 < |x – 3| < 8, < 10-4 3 - - -

A: Consider : 1x-13&lt;10-4 if x-3&lt;δ. Find δ. Since,…

Q: k is a prime number that has a ones digit of 7 and 0 <k < 100, how many values of k are possible?

A:

Q: Find the difference between the maximum and minimum of the quantity p2q2/50, where p and q are two…

A: Given:    p + q = 10    Let f = p2q2 / 50

Q: dmun IsnoitAT 6 21 5. a) Why are 49 and 16 rational numbers? erdh wond uo b) Why are /21 and 36…

A:

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: 6. What is the sum of all 100 positive odd integers starting with 1? Apply your common sense if it…

A: Given n=100

Q: 4. Is 9,521 less than, greater than, or equal to 9,.251? 5. How w many eighths are in 1-? 6. 2+3 x2…

A:

Q: 2 6. The sum of the first n odd natural numbers is equal to n.

A:

Q: f repetition is not allowed and must not leading with a zero, how many different four digit numbers…

A: we have to find the no of many different four digit numbers.

Q: 12. When you raise a positive whole number to a power that is a negative integer, you get a negative…

A: given,

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

A:

Q: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits…

A: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits (don’t…

Q: How many can 3 digits be formed using the digits from 1 to 5 if the digit 2 is never there in the…

A:

Q: How many natural number that are less or equal to 1000 and that are not multiplea of 3,5or7 exist

A: To find: Number of natural numbers ≤1000 that are not multiple of 3 or 5 or 7.

Q: 7.1*10-6 is higher or lower than 9.0*10-6

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Q: 5 divides n -n whenever

A:

Q: 4. In which section of the diagram does 15 belong? 3. the number Rational numbers Integers Whole…

A:

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

A: