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3 years ago

Refer to the passage.

Advanced Placement (AP)

1 answer:

iris [78.8K]3 years ago

6 0

Answer: The AARP lobbies for the expansion of Medicare to cover more people and provide more services.

Explanation:

President Reagan and indeed most Republicans advocate for more power to be shifted to the State government. This means a reduction in federal influence in areas traditionally controlled by States.

Health is one of those areas so in lobbying the federal government to expand Medicare to cover more people and provide more services, the AARP is asking the FG to extend its control more into state controlled areas which is why President Reagan would most likely oppose it.

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According to the laws of thermodynamics, which of these statements is true? The entropy of a closed system increases over time.

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4 years ago

Explain ONE reason the Gunpowder Empires rose during the period 1450-1750.

jeka57 [31]

Answer:

Hi!

Explanation:

The gunpowder empires rose after armed trade became common when trading with other empires.

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3 years ago

More than ½ of the labor force in ____________ are guest workers.

belka [17]

B. The u.s, because of the work force here

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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!

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>

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2 years ago

How to do the question

kodGreya [7K]

The answer is 27/4 Decimal Form: 6.75

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3 years ago