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3 years ago

How much friction is there between the table and the surface if the he table is angled at 50

Advanced Placement (AP)

1 answer:

Nitella [24]3 years ago

4 0

Answer:

es una catarata es he table is ángeles at 50

Explanation:

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Who wants to join a pad let?

PilotLPTM [1.2K]

Meeeee... I’m bored so username is SleepWalker17

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2 years ago

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Alin sa sumusunod ang pangunahing pinagbabatayan ng mga prodyuser sa paggawa ng mga

zavuch27 [327]

Answer:

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2 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 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

1 year ago

B) Explain ONE external development that led to the collapse of the Qing Empire in the early twentieth century.

Digiron [165]

Answer and Explanation:

A. The main external reason for the fall of the Qing Dynasti was the pressure of the great European powers in commercial relations, which caused a complete political disorganization, within a government that already showed many signs of incompetence and corruption. This led to serious management failures, provoking helping the fallen dynasty.

B. Geographical differences may be the main reason why the collapse of the Ottoman empire and the Qing dynasty unfolded differently. In addition, the political and religious organization of the two regions also influences the different way in which these collapses developed.

5 0

2 years ago

What are academic resources that may be available to students on a college campus ?

kramer

Answer:

academic resources available at college campuses

Explanation:

writing center
tutoring
career services
financial aid
advisors
library
dining services
recreational services

hope that helped :))

3 0

2 years ago