Consider the following number. 0.59595959.. Show that the number is rational by writing it as a ratio of two integers.

Q: Determine if the numbers are irrational or rational:  0.343434343434343434...

A: This is a problem related to type of the number. Based on the general formula we will answer the…

Q: Find a formula for n in terms of m where: n is a length in feet and m is the length in inches.Note…

A: We have to find a formula for n in terms of m where n is a length in feet and m is the length in…

Q: show that the following number is rational by writing it as a ratio of two integers 5.6077

A: Rewrite the given number as: 5.6077 = 5+0.6077            = 5+607710000 only factors of 10000 are 5…

Q: Determine the shaded area. 1.5 in. 3 in. The shaded area is (Type an integer or decir he nearest…

A: Given that :  D1 = 3 in.  D2 = 1.5 in.  We know that, area of semicircle = ( π × r2  )/ 2 Where   π…

Q: Draw the corresponding figure for the following items. Also, find its corresponding area. between z…

A: The Standard Normal Distribution is one of the most important distributions because it allows you to…

Q: show that the following number is rational by writing it as a ratio of two integers. 2 9  +  2 3

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Q: (c) Use Euler's Theorem and part (b) with a suitable value of p to find the remainder of 5103 when…

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Q: 5 tet dt.

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Q: Use a linear approximation to estimate the following numbers without using a calculator: a. 7.942/3…

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Q: Show that the following number is rational by writing it as a ratio of two integers. 5.6057

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Q: Show that the following number is rational by writing it as a ratio of two integers. 8/9 +2/5

A: A rational number is a real number that is the ratio of two integers. There are certain criteria for…

Q: In which pair do both decimals represent rational numbers? O 0.869 and 0.585858... O…

A: To Determine: in which pair do both decimals represent rational numbers? Given: we have 4 types of…

Q: Find a rational number within 0.001 of pi=3.1315926…

A: Let the rational number be r so r-π≤0.0012. Or π-0.0012≤r≤π+0.0012.  Putting π=3.1315926 get the…

Q: We know that n is a product of two prime numbers and ϕ(n) = 6912. Find these numbers without using a…

A: Euler function

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in.…

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Q: · Find (with proof) the residue of 320222022 when dividing it by 31.

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Q: 1. 0.0861861861861, when expressed as a rational number, is:

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Q: Solve for x. In5+ In (x +3) = 4 Do not round any intermediate computations, and round your answer to…

A: Solving the question by method of solving logarithmic expression.

Q: Draw the corresponding figure for the following items. Also, find its corresponding area. 7. to the…

A: Note: As per bartleby guidelines only first three sub parts are to be solved. Please upload other…

Q: Show that the following number is rational by writing it as a ratio of two integers.…

A: Consider the given decimal number 52.4744174417441… Suppose that, x=52.4744174417441. Rewrite the…

Q: Show that the following number is rational by writing it as a ratio of two integers.…

A: Given information: The rational number 52.4699169916991... Consider x=52.4699169916991...

Q: Show that the following number is rational by writing it as a ratio of two integers. 0.74747474...

A: l

Q: Determine the largest prime you need to consider to be sure that you have excluded, in the sieve of…

A: (a) According to the sieve of Eratosthenes, first calculate the square root of the given number. The…

Q: Given the infinite continued fraction [n, 1,1,2,2,3,3,4,4,5,5,6,6 ... ] for an integer n > 1, find…

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Q: For which indeqere a moduo 18 whire 0La s18 have inuerses ?

A: Note the result : Consider a, n be a positive integers such that . If the then inverse of a exist…

Q: show that the following number is rational by writing it as a ratio of two integers 0.74747474…

A: According to the given information, it is required to write the given number as a rational number.

Q: When x is divided by 7, the remainder is 5. What is the remainder when 5x is divided by 7? Moreover,…

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Q: Find (with proof) the residue of 32022-022 when dividing it by 31.

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

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Q: Find the rational number which has the following repeating decimal expansion:…

A: Let us determine the rational number of the repeating decimal expansion using the rule of 9 in the…

Q: 1. 5.3535353, when expressed as a rational number, is:

A: we know the sum of infinite geometric  series  whose first term is  a and  whose common ratio is  r…

Q: Show that — ф+1 n=0 ||

A: Given φ is the golden ration satisfying 1φ=φ-1. To prove ∑n=0∞1φn=φ+1 It is known that φ=1+52.

Q: Are the following numbers Gaussian primes ? Explain why why not. or (а.) 2 — 5, (b.) z = 5- 4i. tr

A: Gaussian integers and Gaussian primes

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

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Q: Evaluate the following 2- S ( 37/3 + 5x² + 3) dx

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Q: There is no integer that has a reciprocal that is an integer.

A: As per the instructions, we will be answering only the first question. For (32), Notice that the…

Q: Show that the following number is rational by writing it as a ratio of two integers. 2 +

A: Given                   29+25 So we know that rational number is in form of pqand where q is not…

Q: ition to prove the n positive number. of Your Your answe that 1/x 00 as

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Q: Classify the following number: V-100 Irrational Rational O Imaginary

A: NOTE: Refresh your page if you can't see any equations. . apply the radical rule  if n is odd

Q: Is any real number exactly 2 more than itscube? Give any such values accurate to 3 decimal places.

A: The question being asked is whether there exists some real x such that…

Q: A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to…

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Q: Express the given repeating decimal as a quotient of integers. If​ possible, reduce to lowest terms.…

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Q: Express each of the numbers as the ratio of twointegers. 3.142857 = 3.142857 142857....

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Q: Express the given repeating decimal as a quotient of integers. If possible, reduce to lowest terms.…

A: The given repeating decimal is 0.3  let xy=0.3 where xy is the required quotient of integers…

Q: An object thrown upward from the ground falls to the ground after k seconds. Which of the following…

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Q: Show that the following number is rational by writing it as a ratio of two integers 0.79797979.

A: We have to write number 0.79797979... In the ratio of two integers . Lets=0.79797979...we can writ…

Q: Decimals can be approximated by using only the leading nonzero digit or by rounding to the leading…

A: Answer : Approximate 0.0081 by using the leading nonzero digit = 8.1 × 10-3

Q: find the rational number represented by the repeating decimal. 0.451141414

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Q: Find (with proof) the residue of 320222022 when dividing it by 31.

A: Given number is 320222022 Let the remainder(residue) be x when 320222022 divide by 31 x=32022202231…

Q: Evaluate the following integral. 4x xp- - 4x 4X -9 e

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Statements and Logic

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