Paano mo iuugnay ang nakaraang pagputok ng bulkang taal tungo sa teoryang plate tectonic?

kirill115 [55]

Johann Heinrich von Thünen, a Prussian landowner, introduced an early theory of agricultural location in Der isolierte Staat (1826) (The Isolated State). The Thünenmodel suggests that accessibility to the market (town) can create a complete system of agricultural land use

8 0

3 years ago

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 NET DECREASE 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.

Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.

8 0

2 years ago

Connor is at the top of his class, has been accepted to his choice of colleges, and has a plan for the future. He gets along wel

alexandr402 [8]

Answer:

The correct answer is - B) self-actualization.

Explanation:

Within Abraham Maslow’s (1908 – 1970) theory of Hierarchy of Needs, Connor is on the way to self-actualization, because:

He is doing very well in his activities (on top of his class) an have found the field that he is good at (has been accepted to his choice of colleges). It puts Connor on the initial stage of realizing his full potential.
He is content with his life choices and area of activities, which allows him to be supportive of others (is the go to person when his friends have problems). Conversely, if he was struggling and dissatisfied, he would not be able to help others.
Connor is making plans for the future, which is necessary to achieve the self-actualization bye realizing his full potential. For example, become successful surgeon.

8 0

3 years ago

Which of the following statements best describes how the theme emerges in the excerpt from “The Overcoat”?

Eduardwww [97]

Answer:

C. by detailing the effects of the cold St. Petersburg weather

Explanation:

Remember, the story begins by telling readers how the main character of the story, Akaky Akakievich Bashmachkin struggles to survive the effects of the cold St. Petersburg weather.

Akakievich is portrayed as an impoverished clerk, he struggles to save money in order to buy a new winter coat. Thus, the theme of the story ("The Overcoat") emerges further from here.

3 0

3 years ago

What are the two main types of seismic waves that are created during an earthquake (15 points)

Alik [6]

Answer:

- body waves

- surface waves

Explanation:

The earthquakes produce two major types of seismic waves, body waves and surface waves. The body waves are the seismic waves that travel through the layers of the Earth. The surface waves are the waves that only travel on the surface of the Earth and the surface of the water bodies. The earthquakes are a natural phenomenon that occurs most at places where there is more intense geologic activity. Because the crust is cracking and breaking deep inside, lot of adjustments occur, and through the adjustments, lot of energy is released, which is manifested through these two types of waves.

7 0

3 years ago

Paano mo iuugnay ang nakaraangpagputok ng bulkang taal tungo sa teoryang plate tectonic?​

Paano mo iuugnay ang nakaraangpagputok ng bulkang taal tungo sa teoryang plate tectonic?