Hi there!
a.
To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.
Evaluate using a calculator:
b.
To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.
In other terms:
We can evaluate using a calculator (math-9 on T1-84):
c.
If:
Then:
Evaluate at t = 20:
This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.
d.
To find the maximum, we must use the first-derivative test.
Set S(t) - R(t) equal to 0:
Graph the function with a graphing calculator and set the function equal to y = 0:
According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.
<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>
Answer: The last option.
Explanation: The precautionary principle would be considered to be most strictly applied where the precautionary measure is most disproportionate to the given risk. In all but the last option, there are either measures taken in response to concrete problems, or the precautionary measures are actually relaxed. In the last option, though, there are merely “fears” that antibiotics and growth hormones could cause harm (no experimental evidence), but the school board still takes the strict precautionary measure of mandating that schools only serve organic milk.
Answer:
Neither the same nor the opposite
Explanation:
<em>Two heads are better than one</em> is an idiom meaning that it's easier to solve a problem or come up with an idea with the help of another person than alone.
<em>Two is company, three is a crowd </em>is an idiom usually associated with a romantic context. It's used to say that a third person should leave when two people (e.g. lovers) want to be together on their own.
So, when we compare these explanations, we can't say that these two sentences mean the same, nor the opposite.
Answer:
Changing lanes without signaling is the correct answer.
Explanation:
Children will associate there unacceptable behaviour with getting spanked, and the purpose is to dissuade them from partaking in that behaviour in the future.
