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:
b
Step-by-step explanation:
divide both sides of the equation by 4 to leave s by itself
Answer:
x = -3
(-3,7)
Step-by-step explanation:
y = –3x – 2,
y = 7
We know the value of y, y=7
Substitute into the first equation
7 = –3x – 2
Add 2 to each side
7+2 = –3x – 2+2
9 = -3x
Divide each side by -3
9/-3 = -3x/-3
-3 = x
Total distance hiked by Bernardo in June = 12.8 km
Total distance hiked by Bernardo in July = 13.4 km
Then
The total distance hiked by Bernardo in June and July = (12.8 + 13.4) km
= 26.2 km
Now it is given in the question that Nicole hiked for the same total distance in June and July.
Also it is given that
The distance hiked by Nicole in June = 11.5 km
Then
the distance hiked by Nicole in July = (26.2 - 11.5) km
= 14.7 km
So the distance hiked by Nicole in July is 14.7 km. The correct option among all the options given in the question is option "A".