To determine how many quarter notes are in the notation excerpt within the four measures of 4/4 time, we can break down each measure:
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Measure 1: Two half notes
- Each half note is equal to 2 quarter notes, so this measure has \(2 \times 2 = 4\) quarter notes.
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Measure 2: Four eighth notes, one quarter note, one quarter rest
- The four eighth notes are equal to \(4 \times \frac{1}{2} = 2\) quarter notes.
- There is 1 quarter note.
- Total in this measure: \(2 + 1 = 3\) quarter notes.
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Measure 3: Two quarter notes, two eighth notes, one quarter note
- Two quarter notes are simply 2 quarter notes.
- The two eighth notes are equal to \(2 \times \frac{1}{2} = 1\) quarter note.
- There is also 1 additional quarter note.
- Total in this measure: \(2 + 1 + 1 = 4\) quarter notes.
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Measure 4: Whole note
- A whole note is equal to 4 quarter notes.
Now, we add the quarter notes from each measure:
- Measure 1: 4 quarter notes
- Measure 2: 3 quarter notes
- Measure 3: 4 quarter notes
- Measure 4: 4 quarter notes
Total: \(4 + 3 + 4 + 4 = 15\) quarter notes.
Based on your options provided, it seems there must be some misunderstanding as the summed total is not among the options. However, if you're counting just the measures as they relate to quarter note counts, for your specific question about how many quarter notes are present, the answer is 15 quarter notes. Please consult the original options given to determine how you would like to interpret the question in that context.