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Citrus2011 [14]
3 years ago
14

The graph of f(x) consists of two straight lines and a semicircle: y = f(x)

Advanced Placement (AP)
1 answer:
Volgvan3 years ago
8 0

Answer:

B

Explanation:

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How do you think these people<br> lived? <br> (Big History Projects Unit 1 Easter Island)
Zanzabum

Answer:

The article points out that people lived

peacefully until resources began to be

depleted, then warring and cannibalism

began.

Explanation:

8 0
3 years ago
Ya'll I need help??? 100 Pointss!!!!
Paladinen [302]

Answer:

<h3>How do you determine if a solution is isotonic hypertonic or hypotonic? </h3>

In comparing two solutions of unequal solute concentration, the solution with

the higher solute concentration is hypertonic, and the solution with the lower

solute concentration is hypotonic. Solutions of equal solute concentration are isotonic.

5 0
3 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!

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
Explain how two types of diffusion influences a food choice
Natalka [10]

Answer:

Technological Diffusion

Fashion/beauty

Explanation:

A Diffusion is the way that a new idea, innovation or management scheme permeates a society no matter the socio-economic status.

Technological diffusion has been a large impact on the food choices we make now since food can be easily ordered via APPs on smart phones. The cleaver way of tracking customers makes it easy for companies to send adds specific to that person's choice based on the websites that they have visited.

The fashion and beauty industry has also experience a diffusion by making products and techniques more affordable and by engaging their audience using persons other than celebrities. This makes the products seem reachable by everyone who willingly engages. Wanting to be beautiful, fit, etc has encouraged individuals to alter the food they eat with the hopes of becoming, healthier, thinner or having more muscle mass etc.

This is how two types of diffusion change the way people eat.

4 0
4 years ago
Why is the two-factor theory of emotion called that?
GarryVolchara [31]

Answer:

<em>In this theory, emotion depends on physiological arousal and cognitive processing.</em>

Explanation:

The two-factor theory of emotion states that emotion is based on two primary factors: physiological arousal and a cognitive label. The theory states that when an emotion is felt a physiological arousal occurs and the person uses the immediate environment to search for emotional cues to label the physiological arousal.

5 0
4 years ago
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