a. Answer Always Explanation Given information: The sum of a rational number and a rational number is rational number The sum of a rational number and a rational number is rational number 2 + 2 = 4 It is always rational b. To determine To determine whether each statement is always, sometimes or never true. Answer Always Explanation Given information: The sum of a rational number and an irrational number is irrational number. The sum of a rational number and an irrational number is irrational number 2 + 3 It is always irrational c. To determine To determine whether each statement is always, sometimes or never true. Answer Always Explanation Given information: The sum of irrational number and an irrational number is irrational number. The sum of irrational number and an irrational number is irrational number. 3 + π It is always irrational number d. To determine To determine whether each statement is always, sometimes or never true. Answer Always Explanation Given information: The product of rational number and a rational number is rational number. The product of rational number and a rational number is rational number. 2 × 2 = 4 It is always rational number e. To determine To determine whether each statement is always, sometimes or never true. Answer Always Explanation Given information: The product of rational number and an irrational number is irrational number. The product of rational number and an irrational number is irrational number. 2 × 3 = 2 3 It is always irrational number f. To determine To determine whether each statement is always, sometimes or never true. Answer Explanation Given information: The product of irrational number and an irrational number is irrational number. The product of irrational number and an irrational number is irrational number. 3 × 3 = 3 And π × 3 = 3 π It is sometimes irrational number

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

1st Edition

ISBN: 9781608408382

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Statements and Logic

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

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Question

Chapter 9.1, Problem 100E

To determine

To determine whether each statement is always, sometimes or never true.

Expert Solution

Answer to Problem 100E

Always

Explanation of Solution

Given information:

The sum of a rational number and a rational number is rational number

2+2=4

It is always rational

To determine

To determine whether each statement is always, sometimes or never true.

Expert Solution

Answer to Problem 100E

Always

Explanation of Solution

Given information:

The sum of a rational number and an irrational number is irrational number.

The sum of a rational number and an irrational number is irrational number

2+3

It is always irrational

To determine

To determine whether each statement is always, sometimes or never true.

Expert Solution

Answer to Problem 100E

Always

Explanation of Solution

Given information:

The sum of irrational number and an irrational number is irrational number.

3+π

It is always irrational number

To determine

To determine whether each statement is always, sometimes or never true.

Expert Solution

Answer to Problem 100E

Always

Explanation of Solution

Given information:

The product of rational number and a rational number is rational number.

2×2=4

It is always rational number

To determine

To determine whether each statement is always, sometimes or never true.

Expert Solution

Answer to Problem 100E

Always

Explanation of Solution

Given information:

The product of rational number and an irrational number is irrational number.

2×3=23

It is always irrational number

To determine

To determine whether each statement is always, sometimes or never true.

Expert Solution

Answer to Problem 100E

Explanation of Solution

Given information:

The product of irrational number and an irrational number is irrational number.

3×3=3

And

π×3=3π

It is sometimes irrational number

Chapter 9.1, Problem 99E

Chapter 9.1, Problem 101E

Chapter 9 Solutions

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Prob. 54E Ch. 9.1 - Prob. 55E Ch. 9.1 - Prob. 56E Ch. 9.1 - Prob. 57E Ch. 9.1 - Prob. 58E Ch. 9.1 - Prob. 59E Ch. 9.1 - Prob. 60E Ch. 9.1 - Prob. 61E Ch. 9.1 - Prob. 62E Ch. 9.1 - Prob. 63E Ch. 9.1 - Prob. 64E Ch. 9.1 - Prob. 65E Ch. 9.1 - Prob. 66E Ch. 9.1 - Prob. 67E Ch. 9.1 - Prob. 68E Ch. 9.1 - Prob. 69E Ch. 9.1 - Prob. 70E Ch. 9.1 - Prob. 71E Ch. 9.1 - Prob. 72E Ch. 9.1 - Prob. 73E Ch. 9.1 - Prob. 74E Ch. 9.1 - Prob. 75E Ch. 9.1 - Prob. 76E Ch. 9.1 - Prob. 77E Ch. 9.1 - Prob. 78E Ch. 9.1 - Prob. 79E Ch. 9.1 - Prob. 80E Ch. 9.1 - Prob. 81E Ch. 9.1 - Prob. 82E Ch. 9.1 - Prob. 83E Ch. 9.1 - Prob. 84E Ch. 9.1 - Prob. 85E Ch. 9.1 - Prob. 86E Ch. 9.1 - Prob. 87E Ch. 9.1 - Prob. 88E Ch. 9.1 - Prob. 89E Ch. 9.1 - Prob. 90E Ch. 9.1 - Prob. 91E Ch. 9.1 - Prob. 92E Ch. 9.1 - Prob. 93E Ch. 9.1 - Prob. 94E Ch. 9.1 - Prob. 95E Ch. 9.1 - Prob. 96E Ch. 9.1 - Prob. 97E Ch. 9.1 - Prob. 98E Ch. 9.1 - Prob. 99E Ch. 9.1 - Prob. 100E Ch. 9.1 - Prob. 101E Ch. 9.1 - Prob. 102E Ch. 9.1 - Prob. 103E Ch. 9.1 - Prob. 104E Ch. 9.1 - Prob. 105E Ch. 9.1 - Prob. 106E Ch. 9.1 - Prob. 107E Ch. 9.1 - Prob. 108E Ch. 9.1 - Prob. 109E Ch. 9.1 - Prob. 110E Ch. 9.1 - Prob. 111E Ch. 9.1 - Prob. 112E Ch. 9.1 - Prob. 113E Ch. 9.1 - Prob. 114E Ch. 9.1 - Prob. 115E Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Prob. 37E Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Prob. 40E Ch. 9.2 - Prob. 41E Ch. 9.2 - Prob. 42E Ch. 9.2 - Prob. 43E Ch. 9.2 - Prob. 44E Ch. 9.2 - Prob. 45E Ch. 9.2 - Prob. 46E Ch. 9.2 - Prob. 47E Ch. 9.2 - Prob. 48E Ch. 9.2 - Prob. 49E Ch. 9.2 - Prob. 50E Ch. 9.2 - Prob. 51E Ch. 9.2 - Prob. 52E Ch. 9.2 - Prob. 53E Ch. 9.2 - Prob. 54E Ch. 9.2 - Prob. 55E Ch. 9.2 - Prob. 56E Ch. 9.2 - Prob. 57E Ch. 9.2 - Prob. 58E Ch. 9.2 - Prob. 59E Ch. 9.2 - Prob. 60E Ch. 9.2 - Prob. 61E Ch. 9.2 - Prob. 62E Ch. 9.2 - Prob. 63E Ch. 9.2 - Prob. 64E Ch. 9.2 - Prob. 65E Ch. 9.2 - Prob. 66E Ch. 9.2 - Prob. 67E Ch. 9.3 - Prob. 1E Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Prob. 17E Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Prob. 23E Ch. 9.3 - Prob. 24E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - Prob. 29E Ch. 9.3 - Prob. 30E Ch. 9.3 - Prob. 31E Ch. 9.3 - Prob. 32E Ch. 9.3 - Prob. 33E Ch. 9.3 - Prob. 34E Ch. 9.3 - Prob. 35E Ch. 9.3 - Prob. 36E Ch. 9.3 - Prob. 37E Ch. 9.3 - Prob. 38E Ch. 9.3 - Prob. 39E Ch. 9.3 - Prob. 40E Ch. 9.3 - Prob. 41E Ch. 9.3 - Prob. 42E Ch. 9.3 - Prob. 43E Ch. 9.3 - Prob. 44E Ch. 9.3 - Prob. 45E Ch. 9.3 - Prob. 46E Ch. 9.3 - Prob. 47E Ch. 9.3 - Prob. 48E Ch. 9.3 - Prob. 49E Ch. 9.3 - Prob. 50E Ch. 9.3 - Prob. 1Q Ch. 9.3 - Prob. 2Q Ch. 9.3 - Prob. 3Q Ch. 9.3 - Prob. 4Q Ch. 9.3 - Prob. 5Q Ch. 9.3 - Prob. 6Q Ch. 9.3 - Prob. 7Q Ch. 9.3 - Prob. 8Q Ch. 9.3 - Prob. 9Q Ch. 9.3 - Prob. 10Q Ch. 9.3 - Prob. 11Q Ch. 9.3 - Prob. 12Q Ch. 9.3 - Prob. 13Q Ch. 9.3 - Prob. 14Q Ch. 9.3 - Prob. 15Q Ch. 9.3 - Prob. 16Q Ch. 9.3 - Prob. 17Q Ch. 9.3 - Prob. 18Q Ch. 9.3 - Prob. 19Q Ch. 9.3 - Prob. 20Q Ch. 9.3 - Prob. 21Q Ch. 9.3 - Prob. 22Q Ch. 9.3 - Prob. 23Q Ch. 9.3 - Prob. 24Q Ch. 9.4 - Prob. 1E Ch. 9.4 - Prob. 2E Ch. 9.4 - Prob. 3E Ch. 9.4 - Prob. 4E Ch. 9.4 - Prob. 5E Ch. 9.4 - Prob. 6E Ch. 9.4 - Prob. 7E Ch. 9.4 - Prob. 8E Ch. 9.4 - Prob. 9E Ch. 9.4 - Prob. 10E Ch. 9.4 - Prob. 11E Ch. 9.4 - Prob. 13E Ch. 9.4 - Prob. 14E Ch. 9.4 - Prob. 15E Ch. 9.4 - Prob. 16E Ch. 9.4 - Prob. 17E Ch. 9.4 - Prob. 18E Ch. 9.4 - Prob. 19E Ch. 9.4 - Prob. 20E Ch. 9.4 - Prob. 21E Ch. 9.4 - Prob. 22E Ch. 9.4 - Prob. 23E Ch. 9.4 - Prob. 24E Ch. 9.4 - Prob. 25E Ch. 9.4 - Prob. 26E Ch. 9.4 - Prob. 27E Ch. 9.4 - Prob. 28E Ch. 9.4 - Prob. 29E Ch. 9.4 - Prob. 30E Ch. 9.4 - Prob. 31E Ch. 9.4 - Prob. 32E Ch. 9.4 - Prob. 33E Ch. 9.4 - Prob. 34E Ch. 9.4 - Prob. 35E Ch. 9.4 - Prob. 36E Ch. 9.4 - Prob. 37E Ch. 9.4 - Prob. 38E Ch. 9.4 - Prob. 39E Ch. 9.4 - Prob. 40E Ch. 9.4 - Prob. 41E Ch. 9.4 - Prob. 42E Ch. 9.4 - Prob. 43E Ch. 9.4 - Prob. 44E Ch. 9.4 - Prob. 45E Ch. 9.4 - Prob. 46E Ch. 9.4 - Prob. 47E Ch. 9.4 - Prob. 48E Ch. 9.4 - Prob. 49E Ch. 9.4 - Prob. 50E Ch. 9.4 - Prob. 51E Ch. 9.4 - Prob. 52E Ch. 9.4 - Prob. 53E Ch. 9.4 - Prob. 54E Ch. 9.4 - Prob. 55E Ch. 9.4 - Prob. 56E Ch. 9.4 - Prob. 57E Ch. 9.4 - Prob. 58E Ch. 9.4 - Prob. 59E Ch. 9.4 - Prob. 60E Ch. 9.4 - Prob. 61E Ch. 9.4 - Prob. 62E Ch. 9.4 - Prob. 63E Ch. 9.4 - Prob. 64E Ch. 9.4 - Prob. 65E Ch. 9.4 - Prob. 66E Ch. 9.4 - Prob. 67E Ch. 9.4 - Prob. 68E Ch. 9.4 - Prob. 69E Ch. 9.4 - Prob. 70E Ch. 9.4 - Prob. 71E Ch. 9.4 - Prob. 72E Ch. 9.4 - Prob. 73E Ch. 9.4 - Prob. 74E Ch. 9.4 - Prob. 75E Ch. 9.4 - Prob. 76E Ch. 9.4 - Prob. 77E Ch. 9.4 - Prob. 78E Ch. 9.4 - Prob. 79E Ch. 9.4 - Prob. 80E Ch. 9.5 - Prob. 1E Ch. 9.5 - Prob. 2E Ch. 9.5 - Prob. 3E Ch. 9.5 - Prob. 4E Ch. 9.5 - Prob. 5E Ch. 9.5 - Prob. 6E Ch. 9.5 - Prob. 7E Ch. 9.5 - Prob. 8E Ch. 9.5 - Prob. 9E Ch. 9.5 - Prob. 10E Ch. 9.5 - Prob. 11E Ch. 9.5 - Prob. 12E Ch. 9.5 - Prob. 13E Ch. 9.5 - Prob. 14E Ch. 9.5 - Prob. 15E Ch. 9.5 - Prob. 16E Ch. 9.5 - Prob. 17E Ch. 9.5 - Prob. 18E Ch. 9.5 - Prob. 19E Ch. 9.5 - Prob. 20E Ch. 9.5 - Prob. 21E Ch. 9.5 - Prob. 22E Ch. 9.5 - Prob. 23E Ch. 9.5 - Prob. 24E Ch. 9.5 - Prob. 25E Ch. 9.5 - Prob. 26E Ch. 9.5 - Prob. 27E Ch. 9.5 - Prob. 28E Ch. 9.5 - Prob. 29E Ch. 9.5 - Prob. 30E Ch. 9.5 - Prob. 31E Ch. 9.5 - Prob. 32E Ch. 9.5 - Prob. 33E Ch. 9.5 - Prob. 34E Ch. 9.5 - Prob. 35E Ch. 9.5 - Prob. 36E Ch. 9.5 - Prob. 37E Ch. 9.5 - Prob. 38E Ch. 9.5 - Prob. 39E Ch. 9.5 - Prob. 40E Ch. 9.5 - Prob. 41E Ch. 9.5 - Prob. 42E Ch. 9.5 - Prob. 43E Ch. 9.5 - Prob. 44E Ch. 9.5 - Prob. 45E Ch. 9.5 - Prob. 46E Ch. 9.5 - Prob. 47E Ch. 9.5 - Prob. 48E Ch. 9.5 - Prob. 49E Ch. 9.5 - Prob. 50E Ch. 9.5 - Prob. 51E Ch. 9.5 - Prob. 52E Ch. 9.5 - Prob. 53E Ch. 9.5 - Prob. 54E Ch. 9.5 - Prob. 55E Ch. 9.5 - Prob. 56E Ch. 9.5 - Prob. 57E Ch. 9.5 - Prob. 58E Ch. 9.5 - Prob. 59E Ch. 9.5 - Prob. 60E Ch. 9.5 - Prob. 61E Ch. 9.5 - Prob. 62E Ch. 9.5 - Prob. 63E Ch. 9.5 - Prob. 64E Ch. 9.5 - Prob. 65E Ch. 9.5 - Prob. 66E Ch. 9.5 - Prob. 67E Ch. 9.5 - Prob. 68E Ch. 9.5 - Prob. 69E Ch. 9.5 - Prob. 70E Ch. 9.5 - Prob. 71E Ch. 9.5 - Prob. 72E Ch. 9.5 - Prob. 73E Ch. 9.5 - Prob. 74E Ch. 9.5 - Prob. 75E Ch. 9.5 - Prob. 76E Ch. 9.5 - Prob. 77E Ch. 9.5 - Prob. 78E Ch. 9.5 - Prob. 79E Ch. 9.5 - Prob. 80E Ch. 9.5 - Prob. 81E Ch. 9.5 - Prob. 82E Ch. 9.5 - Prob. 83E Ch. 9.5 - Prob. 84E Ch. 9.5 - Prob. 85E Ch. 9.5 - Prob. 86E Ch. 9.6 - Prob. 1E Ch. 9.6 - Prob. 2E Ch. 9.6 - Prob. 3E Ch. 9.6 - Prob. 4E Ch. 9.6 - Prob. 5E Ch. 9.6 - Prob. 6E Ch. 9.6 - Prob. 7E Ch. 9.6 - Prob. 8E Ch. 9.6 - Prob. 9E Ch. 9.6 - Prob. 10E Ch. 9.6 - Prob. 11E Ch. 9.6 - Prob. 12E Ch. 9.6 - Prob. 13E Ch. 9.6 - Prob. 14E Ch. 9.6 - Prob. 15E Ch. 9.6 - Prob. 16E Ch. 9.6 - Prob. 17E Ch. 9.6 - Prob. 18E Ch. 9.6 - Prob. 19E Ch. 9.6 - Prob. 20E Ch. 9.6 - Prob. 21E Ch. 9.6 - Prob. 22E Ch. 9.6 - Prob. 23E Ch. 9.6 - Prob. 24E Ch. 9.6 - Prob. 25E Ch. 9.6 - Prob. 26E Ch. 9.6 - Prob. 27E Ch. 9.6 - Prob. 28E Ch. 9.6 - Prob. 29E Ch. 9.6 - Prob. 30E Ch. 9.6 - Prob. 31E Ch. 9.6 - Prob. 32E Ch. 9.6 - Prob. 33E Ch. 9.6 - Prob. 34E Ch. 9.6 - Prob. 35E Ch. 9.6 - Prob. 36E Ch. 9.6 - Prob. 37E Ch. 9.6 - Prob. 38E Ch. 9.6 - Prob. 39E Ch. 9.6 - Prob. 40E Ch. 9.6 - Prob. 41E Ch. 9.6 - Prob. 42E Ch. 9.6 - Prob. 43E Ch. 9.6 - Prob. 44E Ch. 9.6 - Prob. 45E Ch. 9.6 - Prob. 46E Ch. 9.6 - Prob. 47E Ch. 9.6 - Prob. 48E Ch. 9.6 - Prob. 49E Ch. 9.6 - Prob. 50E Ch. 9.6 - Prob. 51E Ch. 9.6 - Prob. 52E Ch. 9.6 - Prob. 53E Ch. 9.6 - Prob. 54E Ch. 9.6 - Prob. 55E Ch. 9.6 - Prob. 56E Ch. 9.6 - Prob. 57E Ch. 9.6 - Prob. 58E Ch. 9.6 - Prob. 59E Ch. 9.6 - Prob. 60E Ch. 9.6 - Prob. 61E Ch. 9.6 - Prob. 62E Ch. 9.6 - Prob. 63E Ch. 9.6 - Prob. 64E Ch. 9.6 - Prob. 65E Ch. 9.6 - Prob. 66E Ch. 9.6 - Prob. 67E Ch. 9.6 - Prob. 68E Ch. 9.6 - Prob. 69E Ch. 9.6 - Prob. 70E Ch. 9 - Prob. 1CR Ch. 9 - Prob. 2CR Ch. 9 - Prob. 3CR Ch. 9 - Prob. 4CR Ch. 9 - Prob. 5CR Ch. 9 - Prob. 6CR Ch. 9 - Prob. 7CR Ch. 9 - Prob. 8CR Ch. 9 - Prob. 9CR Ch. 9 - Prob. 10CR Ch. 9 - Prob. 11CR Ch. 9 - Prob. 12CR Ch. 9 - Prob. 13CR Ch. 9 - Prob. 14CR Ch. 9 - Prob. 15CR Ch. 9 - Prob. 16CR Ch. 9 - Prob. 17CR Ch. 9 - Prob. 18CR Ch. 9 - Prob. 19CR Ch. 9 - Prob. 20CR Ch. 9 - Prob. 21CR Ch. 9 - Prob. 22CR Ch. 9 - Prob. 23CR Ch. 9 - Prob. 24CR Ch. 9 - Prob. 25CR Ch. 9 - Prob. 26CR Ch. 9 - Prob. 27CR Ch. 9 - 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