To simplify the expression \( 12(9 - 70) + (-29)0 \), we can start by calculating each part:
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Calculating \( (-29)0 \): Any number multiplied by 0 is 0, so \( (-29)0 = 0 \).
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Simplifying the expression: \[ 12(9 - 70) + 0 = 12(9 - 70) \]
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Now calculate \( 9 - 70 \): \[ 9 - 70 = -61 \]
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Now substitute that back: \[ 12(-61) = -732 \]
So the entire expression simplifies to \( -732 \).
Now, let's evaluate each of the provided options to see which one is equivalent to \( -732 \):
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Option 1: \( 12(9 - 0) + 0 = 12(9) + 0 = 108 \)
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Option 2: \( \frac{1}{2}(9 - 0) + 0 = \frac{1}{2}(9) + 0 = 4.5 \)
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Option 3: \( 12(9 - 1) - 1 = 12(8) - 1 = 96 - 1 = 95 \)
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Option 4: \( 12(2) + 1 = 24 + 1 = 25 \)
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Option 5: \( \frac{1}{2}(9 - 1) + 1 = \frac{1}{2}(8) + 1 = 4 + 1 = 5 \)
None of these options equal \( -732 \). It seems there may be an oversight or misinterpretation in the options provided.
Please double-check the response options or clarify if there are any conditions or modifications to the original problem.