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zloy xaker [14]
2 years ago
13

True or false. Everyone has a certain amount of privilege.

Advanced Placement (AP)
1 answer:
azamat2 years ago
6 0

False.....

Have a nice day!!:)

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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!

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 <u>NET DECREASE</u> 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.

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

8 0
2 years ago
Please I need help with my LEQ. Will mark it as the brainiest!
Maksim231197 [3]

Answer:

1775–1830

U.S. Indian policy during the American Revolution was disorganized and largely unsuccessful. At the outbreak of the war, the Continental Congress hastily recruited Indian agents. Charged with securing alliances with Native peoples, these agents failed more often than they succeeded. They faced at least three difficulties. First, they had less experience with Native Americans than did the long-standing Indian agents of the British Empire. Second, although U.S. agents assured Indians that the rebellious colonies would continue to carry on the trade in deerskins and beaver pelts, the disruptions of the war made regular commerce almost impossible. Britain, by contrast, had the commercial power to deliver trade goods on a more regular basis. And third, many Indians associated the rebellious colonies with aggressive white colonists who lived along the frontier. Britain was willing to sacrifice these colonists in the interests of the broader empire (as it had done in the Proclamation of 1763), but for the colonies, visions of empire rested solely on neighboring Indian lands. Unable to secure broad alliances with Indian peoples, U.S. Indian policy during the Revolution remained haphazard, formed by local officials in response to local affairs.

6 0
3 years ago
Njrotc 2 word scramble
OverLord2011 [107]

1. Motivation

2. Reprimand

3. Constructive Criticism

4. Hygiene

5. Sanitation

6. Dysentery

7. Purified

8. Disinfect

9. Accountability

10. Delegate

11. Morale

12. Persuade

13. Authority

14. Dealership

15. Discipline

16. Galvanized

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6 0
3 years ago
Which set of yearly incomes should be normally distributed? A. Population of entire U.S. B. population of professional baseball
baherus [9]
The answer is none of the above, i dont know how but i was just asked the same question and got it wrong so yeah lol

7 0
3 years ago
Read 2 more answers
The account holder can choose to move funds from one state's 529 plan to another state's plan once over a _____ period.
ivolga24 [154]

Answer

Its 12 months

Explanation

According to IRS, it allows for a single tax-free rollover of a 529 account per beneficiary in a 12-month period. This 12 month rule should not be violated because it can result to a 10% penalty on the earnings. However, transfers across siblings are not considered rollovers.


6 0
3 years ago
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