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3 years ago

Primates have been able to inhabit much of the earth due to their ability to

Advanced Placement (AP)

1 answer:

IrinaVladis [17]3 years ago

3 0

Answer:

All have binocular vision with fields of view that significantly overlap, resulting in true three dimensional (3-D) depth perception or stereoscopic vision. ... Depth perception is an invaluable tool for animals that need to move quickly. It allows them to judge the distances to important objects in their environment.

Explanation:

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The Human Services career path is where “public servants” of the world work. True or False?

ahrayia [7]

Answer:

true

Explanation:

4 0

3 years ago

Read 2 more answers

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

3 7 4 9 10 11 2433. A sequence of numbers also representing letters on the keyboard...

Solnce55 [7]

3 7 and 4 also 5 it makes sense

3 0

3 years ago

What caused an increase in groundwater use after the Industrial Revolution?

pickupchik [31]

ALL OF THE ABOVE! All include human activity

5 0

2 years ago

States might choose to cooperate at the regional or global level for all of the following reasons EXCEPT (2 points)

Vedmedyk [2.9K]

The correct answer is - E.) to increase national sovereignty.

By cooperation on regional or global level the states do not, and can not really do anything about increasing the national sovereignty. The reason for that is that the national sovereignty is the matter of the state itself, its politics, policies, and handling of the situations in the country. The other countries with whom the state cooperates have nothing to do with it, nor it is their place to interfere in the national sovereignty of the other states, be it friendly states or not.

5 0

3 years ago