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3 years ago

BRO THESE BO.TS ARE STEALING MY QUESTIONS AND PUTTING STU.PID LINKS THESE BOTHS HAVE NO HESITATION TOWARDS ANYTHING AT ALL WT.F

Advanced Placement (AP)

2 answers:

pav-90 [236]3 years ago

6 0

Answer:

What's your question lol I'll answer it

Explanation:

nataly862011 [7]3 years ago

3 0

Answer:

omg that has happened to me sooo many times

Explanation:

iz so annoying smh

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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!

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:

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

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):

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

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

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.

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

You weigh 175 lb on earth. When you reach alderon, you discover that its gravity is 1. 75 that of earth. What is your weight on

lozanna [386]

Answer:

1,362.2 N

Explanation:

1. Find what you have and what you need.

Weight = 175lb 1lb= 4.448N Gravity of Alderon to Earth 1.75:1 Weight on Alderon in N?

2. Convert the units from lb to N and then muliply by 1.23.

$175*4.448*1.75$ = 1,362.2 N

5 0

2 years ago

how did contractionist account for identical fossils being on the continents of south america and africa

vfiekz [6]

They didn't account for it they said animals and dinosaurs was there when the meteor crashed into the earth

5 0

4 years ago

The depolarization of a neural membrane creates what?

dezoksy [38]

I would say it creates action potential
Hope this helps :3

8 0

4 years ago

Over the past few decades, the average intelligence scores have increased. This phenomena best illustrates why intelligence test

zysi [14]

Answer:

Explanation:

This phenomenon best illustrates why intelligence tests need to be revised for predictive validity. The tests are taken initially and show high scores, then they are taken again and show even higher scores. This shows that the individuals are getting smarter. If the test continues to be taken without revision then the same results will continue since the individuals will continue to become smarter but the test will continue being the same. Therefore, becoming much easier for the participants every time. This ultimately leads to better and better scores.

6 0

3 years ago