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To multiply \(-9 \frac{1}{2}\) by \(0.04\), we first convert \(-9 \frac{1}{2}\) into an improper fraction.
\[
-9 \frac{1}{2} = -\left(9 \times 2 + 1\right)/2 = -\frac{19}{2}
\]
Now we multiply \(-\frac{19}{2}\) by \(0.04\):
\[
-\frac{19}{2} \times 0.04
\]
Convert \(0.04\) to a fraction:
\[
0.04 = \frac{4}{100} = \frac{1}{25}
\]
Now perform the multiplication:
\[
-\frac{19}{2} \times \frac{1}{25} = -\frac{19 \cdot 1}{2 \cdot 25} = -\frac{19}{50}
\]
Now we need to convert \(-\frac{19}{50}\) to a decimal:
\[
-\frac{19}{50} = -0.38
\]
Thus, the final result is:
\[
\boxed{-0.38}
\]
Therefore, the answer is B: \(-0.38\).