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Ratling [72]
3 years ago
6

All of the following are possible occupations for a psychologist with a bachelor’s degree except __________.

Advanced Placement (AP)
1 answer:
jenyasd209 [6]3 years ago
6 0

D. financial specialist

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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
*crying on the inside because I have to take Keystones on a Monday and Tuesday at 7:50 in the morning and sit in a building with
Misha Larkins [42]

Answer:

i do not know what i would do if i was you- ppppppproooooobably have an anxiety attack ngl

Explanation:

hey, but thanks for the free points and maybe try thinking about what will happen AFTER that horrible time

so instead of thinking about all the children coughing and wiping their boogers on their sleeves-

think about what will happen after the event- like watching net flix with a floofy blanket

♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛♛

THEY ARE ALL YOURS!!!!!!!

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2 years ago
Sociologists believe that personality development is affected by all of the following factors except
11Alexandr11 [23.1K]
A) is the answer, youre welcome

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Where do most Africans work?
AVprozaik [17]

Answer:

at a job

Explanation:

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Can anyone(female) be my friend.<br>​
Alexxx [7]

sure!!

but why only females

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