Solving for height, \( \text{height} = \frac{240}{60} = 4 \) inches.
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- The volume \( V \) is given by \( V = \text{length} \times \text{width} \times \text{height} \).
- Substituting known values, \( 240 = 10 \times 6 \times \text{height} \).
- Simplifying, \( 240 = 60 \times \text{height} \).
- The sum of an infinite geometric series with first term \( a = 5 \) and common ratio \( r = \frac{1}{3} \) is given by \( S = \frac{a}{1 - r} \). Calculate \( S \).
- Substituting the values, \( S = \frac{5}{1 - \frac{1}{3}} = \frac{5}{\frac{2}{3}} = 5 \times \frac{3}{2} = 7.5 \).
- #### 7.5To calculate the number of different 5-base DNA sequences where exactly 2 bases are adenine (A), and the remaining 3 bases are any of cytosine (C), guanine (G), or thymine (T) (but not A), follow these steps:
