A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^
1 answer:
Answer:
285541
Step-by-step explanation:
According To The Question,
- Given, A culture of bacteria has an initial population of 41000 bacteria and doubles in every 5 hours &
.
Now, for the population of bacteria in the culture after 14 hours is . We have Initial Population(
)=41000 , d=14 & t=5 .
Put These Value in Above Formula, We get
285540.5847 ≈ 285541
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Step-by-step explanation:
Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is
The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have
Now, we use the fact that proabliblity is
Number of favorable outcomes/ Total outcomes.
We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have
A is the answer.
First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <
Let's pick x - 0. Then,
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval
Let's pick x = 2. Then,
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <
Answer: x <