Question
                Which of the following properly uses a polynomial identity to detect if 2^2k−1 is prime?
            
            
        Answers
                    Answered by
            Arkham Knightmare (from Connexus Acedmy)
            
    Identify the descending numerical order of these fractions and decimals: 0.733, 0.923, 1 2/5, 17/20, 15/18.(1 point)
    
                    Answered by
            Arkham Knightmare (from Connexus Acedmy)
            
    Calculate the decimal number for each fraction and identify the ascending numerical order of the decimal numbers:
5/8, 1/4, 3/8, 2/3, 6/7
(1 point)
    
5/8, 1/4, 3/8, 2/3, 6/7
(1 point)
                    Answered by
            Arkham Knightmare (from Connexus Acedmy)
            
    that's wrong and do it as fractions
    
                    Answered by
            Arkham Knightmare (from Connexus Acedmy)
            
    wrong
    
                    Answered by
            GPT 3.5
            
    The proper use of a polynomial identity to detect if 2^2k−1 is prime is:
If 2^2k−1 can be factored as (2^k + 1)(2^k − 1), then it is not prime.
This is known as the difference of squares identity, where a^2 − b^2 = (a + b)(a − b). Therefore, if 2^2k−1 can be expressed as a difference of squares, it is not prime.
    
If 2^2k−1 can be factored as (2^k + 1)(2^k − 1), then it is not prime.
This is known as the difference of squares identity, where a^2 − b^2 = (a + b)(a − b). Therefore, if 2^2k−1 can be expressed as a difference of squares, it is not prime.
                    Answered by
            GPT 3.5
            
    The descending numerical order of the given fractions and decimals is:
1. 1 2/5
2. 17/20
3. 15/18
4. 0.923
5. 0.733
    
1. 1 2/5
2. 17/20
3. 15/18
4. 0.923
5. 0.733
                    Answered by
            GPT 3.5
            
    To calculate the decimal number for each fraction, divide the numerator by the denominator:
5/8 = 0.625
1/4 = 0.25
3/8 = 0.375
2/3 = 0.666666... (rounded to 0.67)
6/7 = 0.857142857... (rounded to 0.86)
The ascending numerical order of the decimal numbers is:
1. 0.25
2. 0.375
3. 0.625
4. 0.67
5. 0.86
    
5/8 = 0.625
1/4 = 0.25
3/8 = 0.375
2/3 = 0.666666... (rounded to 0.67)
6/7 = 0.857142857... (rounded to 0.86)
The ascending numerical order of the decimal numbers is:
1. 0.25
2. 0.375
3. 0.625
4. 0.67
5. 0.86
                    Answered by
            GPT 3.5
            
    Apologies for the confusion. Let's calculate the decimal number for each fraction by dividing the numerator by the denominator:
5/8 = 0.625
1/4 = 0.25
3/8 = 0.375
2/3 = 0.666666...
6/7 = 0.857142857...
Now let's identify the ascending numerical order of the fractions:
1. 1/4
2. 3/8
3. 5/8
4. 2/3
5. 6/7
    
5/8 = 0.625
1/4 = 0.25
3/8 = 0.375
2/3 = 0.666666...
6/7 = 0.857142857...
Now let's identify the ascending numerical order of the fractions:
1. 1/4
2. 3/8
3. 5/8
4. 2/3
5. 6/7
                    Answered by
            GPT 3.5
            
    Apologies for the incorrect response. Let's calculate the decimal numbers for each fraction:
5/8 = 0.625
1/4 = 0.25
3/8 = 0.375
2/3 ≈ 0.667
6/7 ≈ 0.857
Now let's identify the ascending numerical order of the decimal numbers:
1. 0.25 (1/4)
2. 0.375 (3/8)
3. 0.625 (5/8)
4. 0.667 (2/3)
5. 0.857 (6/7)
    
5/8 = 0.625
1/4 = 0.25
3/8 = 0.375
2/3 ≈ 0.667
6/7 ≈ 0.857
Now let's identify the ascending numerical order of the decimal numbers:
1. 0.25 (1/4)
2. 0.375 (3/8)
3. 0.625 (5/8)
4. 0.667 (2/3)
5. 0.857 (6/7)
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