Certainly! Let’s tackle the questions step by step.
Part A
The submarine’s initial elevation is \( -502.5 \) feet below sea level.
Answer: \(-502.5\)
Part B
To calculate the submarine’s change in elevation, you would use subtraction because you are finding the elevation after diving deeper. The wording in the problem that signifies this operation is "dives down" and "deeper."
Answer: Subtraction; "dives down" and "deeper"
Part C
To find the submarine’s elevation after diving down 115 feet, you would subtract 115 from the initial elevation of -502.5 feet.
The expression representing this is: \[ -502.5 - 115 \]
Now simplify: \[ -502.5 - 115 = -617.5 \]
Answer: \(-617.5\)
Part D
The temperature at 502.5 feet below sea level is noted as \( T \) (the specific temperature is not provided in your question). As a rational number, it would be written as \( T \).
Answer: \( T \)
Part E
To find the water temperature after the submarine's final dive, you would use subtraction as you're calculating the change in temperature. The wording that signifies this operation is "drops by."
Answer: Subtraction; "drops by"
Part F
To express the water temperature after the submarine’s final dive, you would subtract the temperature drop from the initial temperature \( T \).
The expression would be: \[ T - K \] where \( K \) is the drop in temperature (also not specified). Simplifying depends on knowing \( T \) and \( K \).
Answer: \( T - K \)
Part G
If we assume \( T \) and \( K \) can be converted to decimals, and if \( T \) is, say, 50°F and \( K \) is 5°F drop, then:
- \( T \) as a decimal is \( 50.0 \)
- \( K \) as a decimal is \( 5.0 \)
If you're looking for this conversion step generally, take note that any fraction (like \( \frac{1}{2} \)) can be converted by dividing the numerator by the denominator.
Answer: Convert the fractions as needed.
Part H
Continuing with the previous assumption, let's calculate the temperature after the final dive in decimal: \[ 50.0 - 5.0 = 45.0 \]
Answer: \( 45.0 \)
Part I
To compare the results from part F (with fractions) and part H (with decimals), you would need specific values used previously. If both expressions evaluated to the same outcome, then they are indeed equivalent.
Answer: Yes, if the specific temperature values used yield the same result.
Self-Evaluation
How well did you perform? Consider the clarity of the steps, the accuracy of the arithmetic, and the understanding demonstrated in the explanations.
Rating: (Choose your own based on your assessment)
Evaluation: (Draft a brief narrative about what you found easy and what was challenging.) For example: "I felt confident in performing the basic arithmetic operations. However, I found it a bit challenging to keep track of the rational numbers and the conversion to decimals. I learned to be more careful with definitions of operations in word problems."
If you need to specify any temperatures or further contextual information, please provide those details, and I can help refine the responses!
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