How is the role of government determined in the American free enterprise system?

What New Deal programs led to reforms in the American economy?

The principle of __ gave the Supreme Court a central role in American government.

Study the chart below. Then answer the questions that follow.

$$\begin{array}{|l|l|l|} \hline\text {Chinese Dynasty} &\text {When} &\text {Achievements} \\ \hline\text {Shang} &\text{c.} 1750 \text{b.c}-1122 \text{b.c.} &\text {Calendar, astronomy, writing} \\ \hline\text {Zhou} &\text{c.} 1050\text{ b.c.}-\text{c.} 256\text{ b.c.} &\text {Copper coins, iron tools, canals, dikes, reservoirs} \\ \hline\text {Qin} &\text{c.} 221\text{ b.c.}-\text{c.} 206\text{ b.c.} &\text {Standard weights, measures, and coins, uniform writing system} \\ \hline\text {Han} &\text{c.} 206\text{b.c.}-\text{a.d.} 220&\text {Civil service system, paper} \\ \hline \end{array}$$

Which statement correctly describes a relationship shown on the chart?

a. The Shang Dynasty did not last as long as the Han Dynasty.

b. Iron tools came into use before the calendar.

c. Although writing began before $1100$ b.c., paper was not invented until more than $900$ years later.

d. The Zhou Dynasty adopted the uniform writing system developed during the Qin Dynasty.

Generate Explanations Why did European countries compete to expand their power in North America?

Explain how the Enlightenment and the Great Awakening influenced the American colonies.

A tea.in of industrial management university professors investigated the reliability of a manufacturing system that involves multiple production lines (Journal of Systems Sciences & Systems Engineering, Mar. 2013). An example of such a network is a system for producing integrated circuit (IC) cards with two production lines set up in sequence. Items (IC cards) first pass through Line 1 and then are processed by Line 2. Toe probability distribution of the maximum capacity level of each line is shown in the next column. Assume the lines operate independently.

$$\begin{matrix} \text{Line} & \text{Maximum Capacity, x} & \text{p(x)}\\ \text{1} & \text{0} & \text{.01}\\ \text{1} & \text{12} & \text{.02}\\ \text{1} & \text{24} & \text{.02}\\ \text{1} & \text{36} & \text{.95}\\ \text{2} & \text{0} & \text{.002}\\ \text{2} & \text{35} & \text{.002}\\ \text{2} & \text{70} & \text{.996}\\ \end{matrix}$$

Find the probability that the maximum capacity level for Line 1 will exceed 30 items.

Two species of squirrels inhabit a national park. There are currently $4500$ gray squirrels, whose population increases at a rate of $4$% a year. There are only $3000$ black squirrels, but they increase at a rate of $6$% a year. In how many years will the black squirrels outnumber the gray squirrels? Use the algebra of logarithms to solve this problem, and support your answer by using a graphing calculator to see where the two population functions intersect.

A recent environmental engineering graduate is trying to decide whether he should keep his presently owned car or purchase a more environmentally friendly hybrid. A new car will cost $26,000 and have annual operation and maintenance costs of$1200 per year with an $8000 salvage value in 5 years (which is its estimated economic service life). The presently owned car has a resale value now of$5000; one year from now it will be $3000, two years from now$2500, and 3 years from now $2200. Its operating cost is expected to be$1900 this year, with costs increasing by $200 per year. The presently owned car will definitely not be kept longer than 3 more years. Assuming used cars like the one presently owned will always be available, should the presently owned car be sold now, 1 year from now, 2 years from now, or 3 years from now? Use annual worth calculations at i = 10% per year and show your work.

True or False: (a) If A is a $4 \times 4$ complex matrix whose second row is $i$ times its first row, then $|\mathbf{A}|=0$. (b) The algebraic multiplicity of any eigenvalue of an $n \times n$ complex matrix must equal n. (c) Every real $n \times n$ matrix is diagonalizable when thought of as a complex matrix. (d) The Fundamental Theorem of Algebra guarantees that every $n$th degree complex polynomial has n distinct roots.

In what ways did the counterculture movement change American society?

Use the method of variation of parameters (and perhaps a computer algebra system) to solve the initial value problem

$$\mathbf { x } ^ { \prime } = \mathbf { A } \mathbf { x } + \mathbf { f } ( t ) , \quad \mathbf { x } ( a ) = \mathbf { x } _ { a }.$$

In the problem we provide the matrix exponential $e ^ { \mathbf { A } t }$ as provided by a computer algebra system.

$$\mathbf { A } = \left[ \begin{array} { l l } { 6 } & { - 7 } \\ { 1 } & { - 2 } \end{array} \right] , \mathbf { f } ( t ) = \left[ \begin{array} { l } { 100t } \\ { -50t } \end{array} \right] , \mathbf { x } ( 0 ) = \left[ \begin{array} { l } { 0 } \\ { 0 } \end{array} \right], e ^ { \mathbf { A } t } = \frac { 1 } { 6 } \left[ \begin{array} { c c } { - e ^ { - t } + 7 e ^ { 5 t } } & { 7 e ^ { - t } - 7 e ^ { 5 t } } \\ { - e ^ { - t } + e ^ { 5 t } } & { 7 e ^ { - t } - e ^ { 5 t } } \end{array} \right]$$

El 26 de abril de 1937 , la Legión Cóndor alemana y la Aviación Legionaria italiana, que combatían a favor de los nacionalistas, bombardearon a la población civil de Guernica, España. Muchos murieron y la ciudad quedó destruida. Esta destrucción inspiró el cuadro Guernica de Pablo Picasso, que se exhibió originalmente en la Feria Mundial de París (1937). Recuerda que el cuadro rnide 7,82 metros $\left(25^{\prime} 5 y^{3 / 4^{\prime \prime}}\right)$ de ancho por 3.50 metros $\left(11^{\prime} 5 y 1 / 2^{\prime \prime}\right)$ de alto. Sin duda, su gran tamano (size) es un elemento importante en el efecto que produce en la persona que lo mira.

An instructor gives regular 20-point quizzes and 100-point exams in an algebra course. Average scores for six students, gives as data points (x, y), where x is the average quiz score and y is the average test score, are (18, 87), (10, 5), (19, 96), (16, 79), (13, 76), and (15, 82). Use a straightedge to sketch the line that you think best fits the data.