To solve the expression \(-30 + 4.5\), we can first clarify that \(-30\) means \(-3\) (to the power of \(0\)) times \(10\) (which is often represented as \(−30 = −3 \cdot 10\) rather than the exponent notation, which is incorrectly used here). Thus, let's evaluate each response for being mathematically accurate in the process and calculation:
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Response 1: \(-30 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5\)
- Incorrect. \((-3)^0\) is equal to \(1\), but it doesn't reflect the operation of \(-30\).
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Response 2: \(-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5\)
- Incorrect. The calculation does not accurately reflect \(-30\) being added to \(4.5\).
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Response 3: \(-30 + 4.5 = -3 + 4.5 = 1.5\)
- Incorrect interpretation of \(-30\). \(-30\) cannot simply become \(-3\).
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Response 4: \(-3^0 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5\)
- This is incorrect as well since \(-3^0 = 1\) and this setup ignores the original context.
None of the responses show the correct process or logic for calculating \(-30 + 4.5\).
The correct calculation should be: \[ -30 + 4.5 = -30 + 4.5 = -25.5 \]
None of the provided responses reach this conclusion. So, all of them are incorrect.