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White raven [17]
3 years ago
6

7. Which biome has the lowest average temperature? Why might this be?

Advanced Placement (AP)
1 answer:
nasty-shy [4]3 years ago
3 0

Answer:

The tundra is the coldest of the biomes. It also receives low amounts of precipitation, making the tundra similar to a desert.

(Source: https://earthobservatory.nasa.gov/biome/biotundra.php)

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1. The rate at which people enter a movie theater on a given day is modeled by the function S defined by S(t) = 80 -12 cos 6 The
Arlecino [84]

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.

\text{Amount that entered} = \int\limits^{20}_{10} {S(t)} \, dt \\\\ = \int\limits^{20}_{10} {80 - 12cos(\frac{t}{5})} \, dt

Evaluate using a calculator:

= 899.97 \approx \boxed{900\text{ people}}

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:
\text{Amount of people} = \int\limits^{20}_{10} {S(t)} \, dt - \int\limits^{20}_{10} {R(t)} \, dt

We can evaluate using a calculator (math-9 on T1-84):


\text{\# of people} = \int\limits^{20}_{10} {80-12cos(\frac{t}{5})} \, dt - \int\limits^{20}_{10} {12e^{\frac{t}{10}}+20} \, dt

= 899.97 - 760.49 = 139.47 \approx \boxed{139 \text{ people}}

c.

If:
P(t) = \int\limits^t_{10} {S(t) - R(t)} \, dt

Then:

\frac{dP}{dt}  = P'(t)= \frac{d}{dt}\int\limits^t_{10} {S(t) - R(t)} \, dt  = S(t) - R(t)

Evaluate at t = 20:


S(20) = 80 - 12cos(\frac{20}{5}) = 87.844\\\\R(20) = 12e^{\frac{20}{10}} + 20 = 108.669

S(20) - R(20) = 87.844 - 108.669 = -20.823

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:

80 - 12cos(\frac{t}{5}) - 12e^{\frac{t}{10}} - 20 = 0\\\\60 - 12(cos(\frac{t}{5}) + e^{\frac{t}{10}})= 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>

8 0
2 years ago
nathan wants a formula to return yes if the value in cell A1 is less than the value in cell B1 and to return no otherwise which
Mnenie [13.5K]

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")

8 0
3 years ago
What type of organisms are represented by the three types of curves?
Fed [463]

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

7 0
2 years ago
Quiz
Anika [276]

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>

3 0
3 years ago
Read 2 more answers
Which of the following biomes would most likely be found closest to the equator
Free_Kalibri [48]

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.

3 0
2 years ago
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