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3 years ago

Which was the primary purpose of the expansion of trade in the Zhou and Han dynasties in China?

Advanced Placement (AP)

2 answers:

beks73 [17]3 years ago

8 0

Between b and c Prob b

chubhunter [2.5K]3 years ago

3 0

To access vital raw materials and resources was the primary purpose of the expansion of trade in the Zhou and Han dynasties in China

Option - b

Explanation: 

China has been ruled by dynasties for years, among them few dynasties have made some major reforms that changed the dynamics of trade to other part of the world. One such dynasty is Han dynasty.

They are the second colonial dynasty ruled China from 206 B.C. to 220 A.D. And Chinese history has been created by opening trade route to Europe by way of Silk Road.

Middle East and Far East are also connected in the network of trade routes by this Silk Road. Their invention of paper and art work is still influence the world even today

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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!

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

2 years ago

Corn is a crop that grows best in soil that drains well.

BigorU [14]

<h2>Corn is a crop that grows best in soil that drains well.</h2><h2 /><h2>Which of the following soils is best suited to grow corn?</h2>

<h3>The ideal soil for corn is well drained and fertile which is Loam Soil. </h3>

7 0

2 years ago

Evaluate the impact of one innovation after it was introduced to a new region between 1200-1450.

Misha Larkins [42]

Answer:

The growth of inter-regional trade in luxury goods was encouraged by innovations in previously existing transportation and commercial technologies, including the caravanserai, forms of credit, and the development of money economies as well as the use of the compass, the astrolabe and larger ship designs.

Explanation:

Caravanserais, large guest houses for travelling merchants and their caravans, were dispersed along the land routes of the Silk Roads. ... By offering such an intercultural environment, caravanserai were important sites for the exchange of material culture, languages and ideas.

3 0

2 years ago

Please Help:

suter [353]

Answer:

Gravitational Force, Normal Force, and Friction Force

Explanation:

3 0

3 years ago

RWBY MEEEMMEESSS :DDDDD

ozzi

Nice, thanks for the points.