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3 years ago

Which feature of “What Happened on the Trail of Tears?” is the focus of “Thunder in Our Hearts”?

Advanced Placement (AP)

2 answers:

muminat3 years ago

7 0

Answer:

Explanation: The emphasis on the distances people traveled to relocate.

elena-14-01-66 [18.8K]3 years ago

7 0

The answer would be b

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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

Question 3 of 10

Drupady [299]

Answer:

C: Speaker 1

Explanation:

Hope this helps:)

8 0

3 years ago

In most states, DNA samples are routinely collected from those persons who have been convicted of felonies. Eighteen states, how

d1i1m1o1n [39]

Taking DNA Samples of Arrestees is a highly controversial topic as An arrestee is a person arrestedfor a crime and who has not yet been convicted for that offense. the state's CODIS DNA database (SDIS) to see if the person has a criminal of collecting DNA from felons arrested for crimes of violence and burglaries.

5 0

3 years ago

Miguel is conduction a probabilaty experiment using a coin. Make a list showing all posibble outcome if he flips the coin one ti

worty [1.4K]

Answer:

{H1, H2, H3, H4, T1, T2, T3, T4}

Explanation:

A coin : {H, T}

Spinner : {1, 2, 3, 4}

Sample space for a coin toss and a spin :

Arranging possible outcomes of the spinner horizontally and the possible outcomes of the coin vertically ; we Obtain :

____ 1 ____ 2 ____ 3 _____ 4

H__ H1 ___ H2 ___ H3 ___ H4

|_______________________

T__ T1 ___ T2 ____ T3 ___ T4

HENCE, List of all possible outcomes :

{H1, H2, H3, H4, T1, T2, T3, T4}

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3 years ago

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vekshin1

Answer:

FIGWIEGFWGEFIGIEFSGIS

Explanation:

8 0

3 years ago

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