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Choose all of the true statements. A A scuba diver is 30 feet below sea level. The scuba diver must rise 30 feet in order to get back to his boat. B The bank charged \( \$ 10 \) to replace a lost debit card, then the card is used to make a \( \$ 10 \) purchase. The net effect on the bank account is so. C The temperature rose 15 degrees from sunrise to noon, then dropped 15 degrees by sunset. The net change in temperature from sunrise to sunset is zero degrees. D A football player gained 12 yards on the first play. On the second play, he lost 5 yards and on the third play he lost 7 yards. His net yardage after the three plays is zero.

Ask by Daniels Summers. in the United States
Mar 11,2025

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The true statements are A, C, and D.

Solución

Let's analyze each statement one by one to determine if they are true or false. ### Statement A A scuba diver is 30 feet below sea level. The scuba diver must rise 30 feet in order to get back to his boat. - The diver is at -30 feet (30 feet below sea level). - To return to sea level (0 feet), the diver must rise 30 feet. **Conclusion:** This statement is **true**. ### Statement B The bank charged \( \$ 10 \) to replace a lost debit card, then the card is used to make a \( \$ 10 \) purchase. The net effect on the bank account is so. - The bank account is reduced by \( \$ 10 \) for the card replacement. - The account is further reduced by \( \$ 10 \) for the purchase. - Total reduction = \( 10 + 10 = 20 \). **Conclusion:** The net effect on the bank account is a decrease of \( \$ 20 \), not zero. This statement is **false**. ### Statement C The temperature rose 15 degrees from sunrise to noon, then dropped 15 degrees by sunset. The net change in temperature from sunrise to sunset is zero degrees. - The temperature increased by 15 degrees and then decreased by 15 degrees. - Net change = \( 15 - 15 = 0 \). **Conclusion:** This statement is **true**. ### Statement D A football player gained 12 yards on the first play. On the second play, he lost 5 yards and on the third play he lost 7 yards. His net yardage after the three plays is zero. - Total gain = 12 yards. - Total loss = \( 5 + 7 = 12 \) yards. - Net yardage = \( 12 - 12 = 0 \). **Conclusion:** This statement is **true**. ### Summary of True Statements - **A**: True - **B**: False - **C**: True - **D**: True The true statements are **A, C, and D**.

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The Deep Dive

A scuba diver is indeed 30 feet below sea level and must ascend that same distance to return to surface level. This concept is based on pressure differences; diving deeper increases water pressure and requires a careful return to avoid decompression sickness. In option D, the football player's net yardage is calculated by adding the gains and losses. Gaining 12 yards and then losing 5 and 7 gives a net of 12 - 5 - 7 = 0 yards. Each play was crucially different, but when all are combined, the result is an impressive "no gain."

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