To find the value of [tex]\( K \)[/tex] using the given formula [tex]\( K = \frac{3(U + 7.15)}{V} \)[/tex], we need to substitute the provided values for [tex]\( U \)[/tex] and [tex]\( V \)[/tex].
Given:
[tex]\[ U = 2.9 \][/tex]
[tex]\[ V = 6 \][/tex]
Let's follow the steps to compute [tex]\( K \)[/tex]:
1. Substitute [tex]\( U = 2.9 \)[/tex] into the expression inside the parentheses:
[tex]\[ U + 7.15 = 2.9 + 7.15 \][/tex]
2. Add the values inside the parentheses:
[tex]\[ 2.9 + 7.15 = 10.05 \][/tex]
3. Multiply the result by 3:
[tex]\[ 3 \times 10.05 = 30.15 \][/tex]
4. Divide the result by [tex]\( V = 6 \)[/tex]:
[tex]\[ K = \frac{30.15}{6} = 5.025 \][/tex]
Thus, the value of [tex]\( K \)[/tex] is [tex]\( 5.025 \)[/tex].
So, the final value is:
[tex]\[ K = 5.025 \][/tex]
