For this case we must solve the following equation:
For this, we follow the steps below:
We find the Neperian logarithm on both sides of the equation to remove the variable from the exponent
We use one of the logarithm properties to extract x from the exponent:
We subtract xln (7) on both sides of the equation:
We take x common factor:
We divide betweenon both sides of the equation, then:
Answer:
Answer:
Step-by-step explanation:
For each of these, you can make use of the form
Answer:
50,803,200 ways
Step-by-step explanation:
In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:
BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.
For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:
There are 50,803,200 ways to set the line-up.