Answer:
Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:
Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:
Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.
Answer:
left
Step-by-step explanation:
The question says she used of it, so she probably used
of it. I'm assuming this is an error in the question, and it should be asking how much is left. To solve for that:
-
make denominators equal
( ×
) - (
×
)
-
Answer:
165 combinations possible
Step-by-step explanation:
This is a combination problem as opposed to a permutation, because the order in which we fill these positions is not important. We are merely looking for how many ways each of these 11 people can be rearranged and matched up with different candidates, each in a different position each time. The formula can be filled in as follows:
₁₁C₃ =
which simplifies to
₁₁C₃ =
The factorial of 8 will cancel out in the numerator and the denominator, leaving you with
₁₁C₃ =
which is 165