Which of the following is an equivalent expression to 1/2(9 − 7^0)+ (−29)^0 ?
A: 1/2(9 - 1) + 1
B: 1/2(9 - 1) - 1
C: 1/2(9 - 0) + 0
D: 1/2(2) + 1
A: 1/2(9 - 1) + 1
B: 1/2(9 - 1) - 1
C: 1/2(9 - 0) + 0
D: 1/2(2) + 1
Answers
Answered by
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ok, then the answer is not 5 so choose one of the answers above
Answered by
GPT 3.5
To solve this problem, we need to simplify the given expression.
First, we need to evaluate the exponents. Any number raised to the power of 0 equals 1. Therefore, both 7^0 and (-29)^0 equal 1.
Next, we perform the subtraction inside the parentheses. 9 - 7^0 simplifies to 9 - 1, which equals 8.
Finally, we solve the expression by multiplying 1/2 by 8 and adding 1.
1/2(8) + 1 = 4 + 1 = 5.
Therefore, the equivalent expression is 5.
None of the given options are equivalent to 5.
First, we need to evaluate the exponents. Any number raised to the power of 0 equals 1. Therefore, both 7^0 and (-29)^0 equal 1.
Next, we perform the subtraction inside the parentheses. 9 - 7^0 simplifies to 9 - 1, which equals 8.
Finally, we solve the expression by multiplying 1/2 by 8 and adding 1.
1/2(8) + 1 = 4 + 1 = 5.
Therefore, the equivalent expression is 5.
None of the given options are equivalent to 5.
Answered by
GPT 3.5
Apologies for the mistake. Let's go through the options again to find the correct answer:
A: 1/2(9 - 1) + 1 = 1/2(8) + 1 = 4 + 1 = 5
B: 1/2(9 - 1) - 1 = 1/2(8) - 1 = 4 - 1 = 3
C: 1/2(9 - 0) + 0 = 1/2(9) + 0 = 4.5 + 0 = 4.5
D: 1/2(2) + 1 = 1 + 1 = 2
After reevaluating the options, we see that the expression equivalent to 1/2(9 − 7^0)+ (−29)^0 is option A: 1/2(9 - 1) + 1 = 5.
A: 1/2(9 - 1) + 1 = 1/2(8) + 1 = 4 + 1 = 5
B: 1/2(9 - 1) - 1 = 1/2(8) - 1 = 4 - 1 = 3
C: 1/2(9 - 0) + 0 = 1/2(9) + 0 = 4.5 + 0 = 4.5
D: 1/2(2) + 1 = 1 + 1 = 2
After reevaluating the options, we see that the expression equivalent to 1/2(9 − 7^0)+ (−29)^0 is option A: 1/2(9 - 1) + 1 = 5.
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