DB/dt = k*B
dB/(kB) = dt
Integrating both sides:
1/k*ln|B| = t + C
B = C*e^(kt)
At time t = 0, B = 4000 and at time t = 3 (3 hours past 9 AM), B = 4500
4000 = C
4500 = 4000*e^(3k) => k = 1/3*ln(9/8)
At time t = 15 (Midnight), B = 4000*e^(1/3*ln(9/8)*15) = 4000*(9/8)^5 = 7208 bacteria
<u>Answer:</u>
is changing more quickly.
<u>Step-by-step explanation:</u>
This is because the equation
has a larger slope. The speed of change is determined entirely by the slope; the larger the slope, the faster the line goes up or down. It doesn't matter if it's negative or positive. -29 is the slope of the equation.
<em>Please mark Brainliest.</em>
Answer:

Step-by-step explanation:
We want to simplify:

We first simplify the numerator to obtain:

Next the quotient rule:

We apply this quotient rule to get:

Simplify exponents:

Therefore the given expresion simplifies to:

Answer:
0
Step-by-step explanation:
8/5 divided by 0 = 0
16dividedby3 which is 5 and 1 third or 5 remainder 1