Evaluate each of the following, and write the answer to the appropriate number of significant figures. a. $(4.031)(0.08206)(373.1) /(0.995)$ b. $(12.011) /\left(6.022 \times 10^{23}\right)$ c. $(0.500) /(44.02)$ d. $(0.15) /(280.62)$

A look at a map and a review of the historical antagonism between Ireland and England might help you understand what Miss Ivors means when she accuses Gabriel of being a West Briton (para. 111). What evidence does the story provide that makes her accusation both somewhat true and particularly insulting?

Copy ad complete the graphic organizer.

$$\begin{matrix} \text{Volumes of Three-Dimensional Figures}\\ \text{Formula} & \text{V=Bh} & V = \frac { 1 } { 3 } B h\\ \text{Shapes}\\ \text{Examples}\\ \end{matrix}$$

Begin by looking at the historical performance of the overall stock market. Typically, on most of the financial websites you can enter S&P $500$ and go right to the index's summary page. You will see a quick summary of the market's performance over the past $24$ hours and $12$ months. How has the market performed over the past year?

One method which changed the way Renaissance artists approached painting was A. the use of flat colors. B. the application of linear perspective. C. more geometric shapes to add perspective. D. less shading of figures.

Using historical records, the personnel manager of a plant has determined the probability distribution of X , the number of employees absent per day. It is:

Calculate the standard deviation of the population.

Morphine, a narcotic substance obtained from opium, has the molecular formula $\mathrm{C}_{17} \mathrm{H}_{19} \mathrm{NO}_3$. What is the mass percentage of each element in morphine (to three significant figures)?

A clothing business finds there is a linear relationship between the number of shirts, $n$, it can sell and the price, $p$, it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of $\$ 30$, while 3,000 shirts can be sold at a price of $\$ 22$. Find a linear equation in the form $p(n)=m n+b$ that gives the price $p$ they can charge for $n$ shirts.

Suppose an ammeter has an internal resistance of $1.0 \mathrm{~m} \Omega$. Find the current in the ammeter when it is properly connected to a $2.0000-\Omega$ resistor and a $12.000-\mathrm{V}$ source. Express your answer to four significant figures.

A graduated cylinder weighed 66.5 g. To the cylinder was added 58.2 g of water and 5.279 g of sodium chloride. What was the tota l mass of the cylinder and the solution? Express the answer to the correct number of significant figures.

Find the coordinates of the centroids of the given figures, each region is covered by a thin, flat plate.

The region above the $x$-axis, bounded by the ellipse with vertices $(a,0)$ and $(-a,0)$ and minor axis $2b$. (The area of an ellipse is $\pi ab$).

Two beams are loaded the same and have the same support conditions. However, the location of internal axial, shear, and moment releases is different for each beam (see figures). Which beam has the larger maximum moment?

The temperature of a sample of iron with a mass of 10.0 g changed from $50.4^{\circ} \mathrm{C}$ to $25.0^{\circ} \mathrm{C}$ with the release of 114 J heat. Determine the specific heat of iron.

1. Analyze the Problem Known: energy released = ____ $\Delta T$ = _____ mass of iron = _____ Unknown: specific heat of iron = ?
2. Solve for the Unknown Write the equation for heat absorption. Solve for c.
3. Evaluate the Answer If the values used in the calculations have _____ significant figures, then the answer must also have ______ significant figures.

Consider the lattice $L$ in the given figures.

(a) Find all sublattices with five elements. $\quad$ (c) Find complements of $a$ and $b$, if they exist.

(b) Find all join-irreducible elements and atoms. $\quad$ (d) Is $L$ distributive? Complemented?