When the factions reached an impasse over who would control the seaport, the two sides escalated threats toward each other, with each side hoping the other would be the first to cave under the stress of the continued ______. A. nanotechnology B. decadence C. brinkmanship D. placebo E. kleptomania.

Consider the observables $A=x^{2}$ and $B=L_{z}$. (a) Construct the uncertainty principle for $\sigma_{A} \sigma_{B}$. (b) Evaluate $\sigma_{B}$ in the hydrogen state $\psi_{n \ell m}$. (c) What can you conclude about $\langle x y\rangle$ in the state?

Write the logarithmic equation in exponential form, or write the exponential equation in logarithmic form. $\log _{5} 625=4$

Assuming the limit exists, the definition of the derivative $f^{\prime}(a)=\lim _{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}$ implies that if his small, then an approximation to f' (a) is given by $f^{\prime}(a) \approx \frac{f(a+h)-f(a)}{h}$. If h>0, then this approximation is called a forward difference quotient; if h<0, it is a backward difference quotient. As shown in the following exercises, these formulas are used to approximate f at a point when f is a complicated function or when f is represented by a set of data points. Let $f(x)=\sqrt{x}$. a. Find the exact value of f'(4). b. Show that $f^{\prime}(4)=\frac{f(4+h)-f(4)}{h}=\frac{\sqrt{4+h}-2}{h}$. c. Complete columns 2 and 5 of the following table and describe how $\frac{\sqrt{4+h}-2}{h}$ behaves as h approaches 0. $$ \begin{matrix} \text{h} & \text{(\sqrt{4+h}-2) / h} & \text{Error} & \text{h} & \text{(\sqrt{4+h}-2) / h} & \text{Error}\\ \text{0.1} & \text{ } & \text{ } & \text{ } & \text{-0.1}\\ \text{0.01} & \text{ } & \text{ } & \text{ } & \text{-0.01}\\ \text{0.001} & \text{ } & \text{ } & \text{ } & \text{-0.001}\\ \text{0.0001} & \text{ } & \text{ } & \text{ } & \text{-0.0001}\\ \end{matrix} $$ d. The accuracy of an approximation is measured by error=|exact value-approximate value|. Use the exact value of f'(4) in part (a) to complete columns 3 and 6 in the table. Describe the behavior of the errors as h approaches 0.

Suppose that you are a Mexican citizen during Wilson’s presidency. Write a radio news broadcast expressing your feelings about American actions in Mexico. Consider how best to communicate your message with your audience.

The school store sells headbands for $2 each and T-shirts for$8 each. Write ordered pairs to compare the cost of headbands to T-shirts for 0,1,2,3,4, and 5 of each item.

$$\begin{matrix} \text{Cost of Headbands (\$)} & \text{Cost of T-shirts (\$)} & \text{Ordered Pairs}\\ \text{0} & \text{0} & \text{(0, 0)}\\ \text{2} & \text{8} & \text{(2, 8)}\\ \text{4} & \text{16} & \text{(4, 16)}\\ \text{6} & \text{24} & \text{(6, 24)}\\ \text{8} & \text{32} & \text{(8, 32)}\\ \text{10} & \text{40} & \text{(10, 40)}\\ \end{matrix}$$

A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write two patterns that could represent the costs of 1,2,3,4, and 5 hats and scarves. List the first 5 terms of each pattern. Then explain how to find the cost of 6 hats and scarves, using the patterns you wrote.

You have recently become interested in collecting used classic vinyl recordings. The jackets for these disks often have no liners to protect the records from dust and other sources of scratches, so you seek to purchase some liners from online vendors. Two web sites offer 12-in. inner plastic liners: site A advertises liners with a thickness of 50 microns, while the liners at site B are 3 mils thick. Which of the sites is selling the thicker liner? (Note: Neither of the given units of thickness is defined in the text, but definitions are available elsewhere.)

A liquid mixture containing 40.0 wt% n-octane and the balance n-decane flows into a tank mounted on a balance. The mass in kg indicated by the scale is plotted against time. The data fall on a straight line that passes through the points (t = 3 min, m = 150 kg) and (t = 10 min, m = 250 kg). a) Estimate the volumetric flow rate of the liquid mixture. b) What does the empty tank weigh?

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. Mondello the Great mesmerized the children at the birthday party by...

A day is a basic measure of time. A solar year is about 365.2422 days. We try to keep our calendar in step with the solar year. Why is it important for the difference between the calendar year and the solar year to be zero?

Billy-Sean O’Hagan is John O’Hagan’s son and a freshman in college. He notices that the demand for the college newspaper was 2,000 copies each week when the paper was given away free of charge, but dropped to 1,000 each week when the college started charging 10c/copy. a. Write down the associated linear demand function. b. Use your demand function to express the revenue as a function of the unit price p, and hence determine the price the college should charge for a maximum revenue. At that price, what is the revenue from sales of one edition of the newspaper? c. It costs the college 4c to produce each copy of the paper, plus an additional fixed cost of $200. Express the profit P as a function of the unit price p, and hence determine the unit price the college should charge for a maximum monthly profit (or minimum loss). What is the resulting profit (or loss)?

This exercise is based on the following table, which shows the probability that an owner of the given model would report his or her vehicle stolen in a one-year period.

$$\begin{matrix} \text{Brand} & \text{Jeep Wrangler} & \text{Suzuki Sidekick (two-door)} & \text{Toyota Land Cruiser} & \text{Geo Tracker (two-door)} & \text{Acura Integra (two-door)}\\ \text{Probability} & \text{.0170} & \text{.0154} & \text{.0143} & \text{.0142} & \text{.0123}\\ \text{Brand} & \text{Mitsubishi Montero} & \text{Acura Integra (four-door)} & \text{BMW 3-series (two-door)} & \text{Lexus GS300} & \text{Honda Accord (two-door)}\\ \text{Probability} & \text{.0108} & \text{.0103} & \text{.0077} & \text{.0074} & \text{.0070}\\ \end{matrix}$$

In an experiment in which a vehicle is selected, consider the following events: R: The vehicle was reported stolen. J: The vehicle was a Jeep Wrangler. A2: The vehicle was an Acura Integra (two-door). A4: The vehicle was an Acura Integra (four-door). A: The vehicle was an Acura Integra (either two-door or four-door). Fill in the blanks: P(|A4)= .

Decide whether the game is strictly determined. If it is, give the players’ optimal pure strategies and the value of the game.

$$\begin{array}{cccc}{} & {B} & {} \\ & {a} \qquad {b} \qquad {c}\\ {A \begin{array}{l}{P} \\ {Q} \\ {R} \\ {S}\end{array}} & {\left[\begin{array}{rrr}{-2} & {-4} & {9} \\ {1} & {1} & {0} \\ {-1} & {-2} & {-3} \\ {1} & {1} & {-1}\end{array}\right]}\end{array}$$

VML Industries has need of specialized yarn manufacturing equipment for operations over the next 3 years. The firm could buy the machinery for $95,000 and depreciate it using MACRS. Annual maintenance would be$7500, and it would have a salvage value of $25,000 after 3 years. Another alternative would be to lease the same machine for$45,000 per year on an "all costs" inclusive lease (maintenance costs included in lease payment). These lease payments are due at the beginning of each year. VML Industries uses an after-tax MARR of 18% and a combined tax rate of 40%. Do an after-tax present worth analysis to determine which option is preferred.