f. Suppose a # 0 is any real number. (a) In the expression a", which is the base and which is the exponent? (b) What does a" mean if n is a positive integer? What does 6 mean? (e) What does a mean if n is a positive integer? What does 3-2 mean? (d) What does a" mean if n is zero? (e) If m and n are positive integers, what does am mean? What does 4/2 mean?

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A: Given, sum of two numbers are 62. Let one of them is x, then other will be (62-x). Product of these…

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Q: How to write 0.014 (014 recurring) in the form p/q.  (Where p,q are elements of real numbers.)

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Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

A: We are asked to find the largest possible product of the two non negative number whose sum is 50

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Q: In the proof of square of an odd number is odd, if you take a=2k+1 is an odd number, where k is an…

A: a=2k+1., Then a^2=(2k+1)^2.

Q: 1 If x = - 2, the value of the expression 3x - 4x + - is (Type an integer or a decimal.)

A: If x=-2, then we need to find the value of the expression . So,

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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: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

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Q: Find the distance between E and F on the number line below. E F + + -12 -11 -10 -9 -8 -7 -6 -5 -4 -3…

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Q: Suppose x and y are integers. Show that If x y, then x | 3y - y + 5y. 1) What is your assumption? 2)…

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Q: why

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Q: V5 +3 v3 - E-2 where k is an integer to be found. V5 + V3 Without using a calculator, show that Cs…

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Q: (c) For real numbers x, if (x +2)(x – 3) = 2, then x + 2 = 2 and x - 3 = 2.

A:

Q: hich of the following statements is NOT true on operations on real numbers?  a. A real number…

A: Which of the following statements is NOT true on operations on real numbers?  a. A real number…

Q: 3.a) Evaluate: 100 b.) let n a positive integer and r# 1 be a positive be real number. Evalyate:

A: Let's find.

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

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Q: (1+ V5 (3 – V5) Without using a calculator, express in the form a+bV5, where a and b are integers.

A: The given expression is: 1+53-5-2 Express in the form a+b5, where a and b are integers. Rewrite the…

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A: n represent the number of bananas, So, n cannot be negative as well as cannot be non integer value.…

Q: What is the converse of the statement "If n is an even integer, then 5n - 3 is an odd integer."?

A: A statement which is  obtained by reversing the given hypothesis and conclusion of a conditional…

Q: (a) 15% of all adult Americans support the changes (b) 20% of all adult Americans support the…

A: Concept: According to the central limit theorem, the sampling distribution of the sample proportion…

Q: 3) Two points are plotted on the number line below. 十+ -10 -9 -8 -7-6 -5-4 -3-2-1 十十+ 1 3 10 Which…

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Q: Prove: An odd plus an odd equals an even. (2m + 1) + (2n + 1) = [ ? ]m +[ ]n+ [ ] = 2(m + n + [ ) =…

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Q: What two nonnegative real numbers with a sum of 46 have the largest possible product? The numbers…

A: The objective is to determine what two non-negative real numbers with the sum of 46 have the largest…

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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: Suppose a + 0 is any real number. (a) In the expression a", which is the base and which is the…

A: Given: a≠0. (a). In the expression an base is a and exponent is n.   (b). If n is positive integer…

Q: nd the distance between G and H on the number line below. G ++ -12 -11 -10 -9 -8 -7 -6 + 5 6 7 8 9…

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Q: -plain briefly whether a assume b is an integer ( ssible the assumption

A: Given image as,

Q: a) Prove that the sum of the squares of two odd integers is always even.

A:

Q: a. On each of four consecutive plays in a football​ game, a team lost 8 yards. If lost yardage is…

A: On each of  four consecutive Plays in football gane team lost 8 yards

Q: Let m and n be positive integers. Show that mZ+nZ= (m, n)Z.

A: Given: Let m, n be two positive integers. To prove: mℤ+nℤ=m,nℤ. Proof: Let I=mℤ,J=mℤ Since…

Q: 2.2.2 Prove or disprove the following conjectures. (a) There is an even integer which can be…

A: a) the even integer 12 can be written as the sum of 3 even integers, 2,4 & 6 So, 12 = 2 + 4 + 6

Q: a) The statement below is false. Provide a counterexample & explain how it proves the statement is…

A: We have to find Statment

Q: 4) a. If 35! = x, then find 33! in the term of x (without using calculator).

A: Given data is : 35!=x Then, 33! is given as: 35!=xx=35×34×33!33!=x35×3433!=x119033!=0.00084x

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

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

Q: true of false:   (v) Given an integer n ≥ 2, [a]n ×n [0]n = [a]n for any integer a.

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Q: n2 n+1 by root test. n+2 n=1

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

A: We have to state whether the 7-n3 is an even integer, odd integer, or sometimes even and sometimes…

Q: . Use a direct proof to show that if a and b are positive integers, then +2 2. Hint: Rewrite the…

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Q: a + (-a) = : The sum of a real number and its additive the additive

A: a+(-a)=_______: The sum of a real number and its additive_______is _______, the additiive________.

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​%…

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