A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
1 answer:
Answer:
221
Step-by-step explanation:
Day 8 is the first day of the second week.
Day 21 is the last day of week 3.
We need to know the n umber of bicycles made from t = 1 to t = 3
The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.
We need to integrate the function with the limits of 1 to 3.
Answer: 221
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Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.
<h3>What is an exponential function?</h3>An exponential function is modeled by:
In which:
- a is the initial value.
- b is the growth rate.
In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:
Hence, after 2 hours:
Which means that the multiplier is of 9.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
1 hour
Step-by-step explanation:
The distance covered by each of the two vehicle can be written as
where
d is the distance covered
v is the speed of the vehicle
t is the time elapsed
For the bus, the speed is
So the distance covered by the bus in a time t is
(1)
The kids in the bus took 3 hours to reach the camp,
t = 3 h
So the distance between the school and the camp is:
For the truck, the speed is
So the distance covered by the truck in a time t is
(2)
Since the distance to cover is 180 miles, the time taken by the truck is
And so, the truck arrives
1 hour after the bus.