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:
If function
Explanation:
In this case, the question asks to compare values in two cells and display an appropriate output based on the comparison made on the contents of both cells...
This can only be done in Excel using the if function.
Th form is as follows:
=IF(A1 < B1,"YES","NO")
Answer:
1. humans
2. birds
3. trees/plants
Explanation:
1. more die as time goes on
2. all die at a constant rate
3. most die at the beginning but those that survive live long
Answer:
d. All of the above
Explanation:
A scale can be defined as an ordered numerical or alphabetical sequence that is typically used for taking measurements such as size, weight, height, length, etc. Also, a scale is used in the field of science to assign magnitude to physical activities and natural phenomenons such as an earthquake using the Richter scale.
In Science, there are four (4) main scales of measurement and these includes;
1. Interval scale: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
2. Ratio scale: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
3. Ordinal scale: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
4. Nominal scale: it is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
<em>Hence, scales can represent;</em>
<em>a. A range of information. </em>
<em>b. A range of resources. </em>
<em>c. Proportional measurement. </em>
Answer:
Tropical rainforest.
Explanation:
The tropical rainforest is a biome that is known for its high precipitation as it rains a lot in this biome and as a result it has dense vegetation.
As a result of its hot temperature and a combination of dead plants, microorganisms multiply. This biome is hot because they are the closest to the equator.