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3 years ago

How do you get points I'm new here

Advanced Placement (AP)

2 answers:

earnstyle [38]3 years ago

5 0

Answer:

you get points by answering questions and completing challenges :))

dedylja [7]3 years ago

3 0

Answer:

you need to answer questions and press the "add you answer" button on the top right corner

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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 <u>NET DECREASE</u> 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.

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

8 0

2 years ago

2) Give at least five examples of Physical Quantities and give one more unit for each of them.

Snowcat [4.5K]

Answer: See explanation

Explanation:

A physical quantity is a quantity that an individual can measure and it also has a unit. Examples of some physical measurement and their corresponding units include:

• Time = Seconds

• Length = Meter

• Mass = Kilogram

• Electric current = Ampere

• Temperature = Kelvin

8 0

3 years ago

PLZZ HELP!!!!!!!!!!!!!!!!!!!!!

omeli [17]

Answer:

i think is H

Explanation:

Because if it is true that a card has less mass than a coin so the coin being heavier will fall and gravity also has a lot to do with it since on earth there is gravity the coin will fall thanks to the fact that you remove the card quite quickly gravity reaction to

7 0

3 years ago

The point over which a level is centered is called a

barxatty [35]

Answer:

The answer is B: Transit

Explanation:

7 0

3 years ago

The discharge of heat into water that raises the water temperature to unacceptable levels for organismal life is called

densk [106]

Answer:

c) thermal pollution

Explanation:

aka heat pollution, occurs when heat released into water or air produces undesirable effects.

4 0

3 years ago

How do you get points I'm new here​

How do you get points I'm new here