The population P(t) of a culture of bacteria is given by P(t)=-1873t^2+95,000+15000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

25 hours.

Step-by-step explanation:

We have been given that the population P(t) of a culture of bacteria is given by ,  where t is the time in hours since the culture was started. We are asked to find the time at which the population is at a maximum.

We can see that our given function is a downward opening parabola, so it maximum point will be vertex. To find the time at which the population is at a maximum, we will find the x-coordinate of parabola.

We know that x-coordinate of a parabola can be found using formula .

Upon rounding our answer to nearest hour, we will get:

Therefore, the population will be maximum at 25 hours.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

answer: h

step-by-step explanation: