To find the combined water capacity of the two towers, you need to add the two amounts in scientific notation:
- First tower capacity: \( 8.65 \times 10^2 \) gallons
- Second tower capacity: \( 6.23 \times 10^2 \) gallons
Since both numbers have the same exponent (10^2), you can add the coefficients:
\[ 8.65 + 6.23 = 14.88 \]
Now, you need to express \( 14.88 \) in scientific notation. \( 14.88 \) can be expressed as:
\[ 1.488 \times 10^1 \]
To combine it with the \( 10^2 \) from the original terms, you adjust the exponent:
\[ 1.488 \times 10^1 \times 10^2 = 1.488 \times 10^{1+2} = 1.488 \times 10^3 \]
However, we typically want to express the coefficient as a number between 1 and 10. So \( 1.488 \times 10^3 \) can be represented as \( 14.88 \times 10^2 \).
Therefore, the combined water capacity in scientific notation is:
\[ 1.488 \times 10^3 \]
Among the provided responses, none match this exactly, but the closest would be considering the combination, which is \( 14.88 \times 10^2 \).
Thus, if you are to select a value among the provided choices, you will be looking for \( 11.88 \times 10^2 \) (if it is indeed plausible) or an approximation or simply indicate no perfect match exists.
If we look back at the options though, none of them match exactly. This indicates there may be some misalignment with options given.
Therefore, the best possible direction is \( 14.88 \) written correctly, or inferring possible inaccuracies or new interpretations of context. The answer closest or intended might need retake or check.
2 answers