Given:
The growth of a sample of bacteria can be modeled by the function

where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,

Here, b(t) number of total bacteria after t hours.
Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.



Therefore, the number of total bacteria after 3 hours is 119.1016.
Answer:
A certain company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a battery is normally distributed, with a mean of 50 months and a standard deviation of 9 months. If the company does not want to make refunds for more than 10% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries?
The company should guarantee the batteries for 38 months.
Step-by-step explanation:
Using standard normal table,
P(Z < z) = 10%
=(Z < z) = 0.10
= P(Z <- 1.28 ) = 0.10
z = -1.28
Using z-score formula
x = zσ + μ
x = -1.28 *9+50
x = 38
Therefore, the company should guarantee the batteries for 38 months.
Answer:
D
Step-by-step explanation:
This function resembles that of the absolute value function, never going into the negative y values. Hope this helps!
Hello :
<span>5x / 25x^4 = 5/x^3
</span><span>x^3 / 5x^14 = 1/5x^11</span>
Hello!

Explanation: <em>This question is super easy. This question it just like a order of operations. First you had to multiply by 52, 13*52= 676 is the right answer. Hope this helps! And thank you for posting at here on Brainly. And have a great day! -Charlie</em>