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Invented for use in short wavelength radar during WWII, the cavity magnetron, which was able to produce electromagnetic waves at a lower frequency than had previously been possible, was the basis for the development of the common microwave oven.
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In the figure above, if <i>ABCDi> is a parallelogram, then <i>x i>=
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The circle with center C shown above is tangent to the x-axis. The x-coordinate of C is three times its y-coordinate. If the distance from O to C is equal to n, what is the radius of the circle, in terms of n?
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The figure shown below is a quarter circle. If is a rectangle, then what is the length of ?
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The rectangular quilt shown in the figure above has a border of uniform width. What is the area of the portion of the quilt that excludes the border?

(1) The width of the border on all sides is 4 inches.

(2) The perimeter of the entire quilt, including the border, is 220 inches. The length of the entire quilt is 20 inches longer than the width of the entire quilt.
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On the circle above with center O, the length of arc PQR is 12 \pi. What is the circumference of the circle?
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The figure above represents a circular fountain surrounded by a circular walkway. The distance across the fountain is feet. The distance across the fountain and the walkway is feet. What is the area of the walkway, in square feet?
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In the figure shown, lines r and s are parallel. Is ?

(1)

(2)

Two recent publications offer different assessments of the career of the famous British nurse Florence Nightingale. A book by Anne Summers seeks to debunk the idealizations and present a reality at odds with Nightingale's heroic reputation. According to Summers, Nightingale's importance during the Crimean War has been exaggerated：not until near the war's end did she become supervisor of the female nurses. Additionally, Summers writes that the contribution of the nurses to the relief of the wounded was at best marginal. The prevailing problems of military medicine were caused by army organizational practices, and the addition of a few nurses to the medical staff could be no more than symbolic. Nightingale's place in the national pantheon, Summers asserts, is largely due t0 the propagandistic efforts of contemporary newspaper reporters.By contrast, the editors of a new volume of Nightingale's letters view Nightingale as a person who significantly influenced not only her own age but also subsequent generations. They highlight her ongoing efforts to reform sanitary conditions after the war. For example, when she learned that peacetime living conditions in British barracks were so horrible that the death rate of enlisted men far exceeded that of neighboring civilian populations, she succeeded in persuading the government to establish a Royal Commission on the Health of the Army. She used sums raised through public contributions to found a nurses' training hospital in London. Even in administrative matters, the editors assert, her practical intelligence was formidable：as recently as 1947 the British Army's medical services were still using the cost-accounting system she had devised in the 1860's.I believe that the evidence of her letters supports continued respect for Nightingale's brilliance and creativity. When counseling a village schoolmaster to encourage children to use their faculties of observation, she sounds like a modern educator. Her insistence on classifying the problems of the needy in order to devise appropriate treatments is similar to the approach of modern social workers. In sum, although Nightingale may not have achieved all of her goals during the Crimean War, her breadth of vision and ability to realize ambitious projects have earned her an eminent place among the ranks of social pioneers.
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In the figure above, if , then

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from CFOThe costs we have incurred to develop a smartphone application for our company's Qoop product has far exceeded the costs to develop our web platform and the mobile-friendly version of our website. The returns, thus far, do not even come close to recouping our initial investment. We should cap next year's marketing budget for Qoop at $100K. If user adoption for Qoop does not increase to a level that would result in conversion in sales that would, in 2-3 years, result in a modest profit, we should stop the project, cut our losses, and focus on developing another product. from CMOOur innovative application still hasn't gained attention from media. As with all types of product launches these days, we need to get the word out fast and get this product to go viral. I recommend a marketing budget closer to $400K. This will allow us to use some big name celebrities to help us get the word out on television, in magazines, and even through social networks like Facebook and Twitter. Once we get over the hump, further expense will be neglible as marketing will be largely free and will occur through word of mouth. Without strong celebrity promotion from the very beginning, the product launch will fizzle away and die unspectacularly - we'll never recoup our largest product development cost. For anything to go viral, it must have a cool factor, be funny, and be useful. A big name celebrity can help us get over that hump. from CEOQoop helps complement our existing product offering. While Qoop expenses have been our largest product development cost, the cost should also be shared among the low costs of our other products. In addition, no product should be looked at as a standalone product. It's more important for us to grow our market share and gain competitive advantage in our industry. To do this, we have to launch more products and start generating a portfolio of products to match our big competitors. We should be marketing all of our products alongside Qoop and not just pigeonhole ourselves to promoting just one product whenever we access the TV or social media marketing channels.
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The dots on the graph above indicate the semester test averages and final exam grades for 40 students in Ms. Joshi's geometry class. How many students had a test average above a 90 and also scored above an 80 on the final exam?
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The figure above represents a circular patch of grass, with its center at , surrounded by a circular track that is yards wide. What is the area of the track, in square yards?
While there is no blueprint for transforming a largely government-controlled economy into a free one, the experience of the United Kingdom since 1979 clearly shows one approach that works: privatization, in which state - owned industries are sold to private companies. By 1979, the total borrowings and losses of state - owned industries were running at about￡3 billion a year. By selling many of these industries, the government has decreased these borrowings and losses, gained over￡34 billion from the sales, and now receives tax revenues from the newly privatized companies. Along with a dramatically improved overall economy, the government has been able to repay 12.5 percent of the net national debt over a two-year period.In fact, privatization has not only rescued individual industries and a whole economy headed for disaster, but has also raised the level of performance in every area. At British Airways and British Gas, for example, productivity per employee has risen by 20 percent. At Associated British Ports, labor disruptions common in the 1970's and early 1980's have now virtually disappeared. At British Telecom, there is no longer a waiting list - as there always was before privatization - to have a telephone installed.Part of this improved productivity has come about because the employees of privatized industries were given the opportunity to buy shares in their own companies. They responded enthusiastically to the offer of shares: at British Aerospace, 89 percent of the eligible work force bought shares; at Associated British Ports, 90 percent; and at British Telecom, 92 percent. [hl:5]When people have a personal stake in something, they think about it, care about it, work to make it prosper.[/hl:5] At the National Freight Consortium, the new employee - owners grew so concerned about their company's profits that during wage negotiations they actually pressed their union to lower its wage demands.Some economists have suggested that giving away free shares would provide a needed acceleration of the privatization process. Yet they miss Thomas Paine's point that"[hl:7]what we obtain too cheap we esteem too lightly.[/hl:7] "In order for the far - ranging benefits of individual ownership to be achieved by owners' companies I and countries employees and other individuals must make their own decisions to buy, and they must commit some of their own resources to the choice.
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According to the chart above, which of the following is closest to the median, in dollars, of the annual average household income from 2000 through 2008, inclusive?
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Which of the following equations represents the line shown in the figure above?
Caffeine, the stimulant in coffee, has been called "the most widely used psychoactive substance on Earth. "Snyder, Daly, and Bruns have recently proposed that caffeine affects brain by countering the activity in the human brain of a naturally occurring chemical called adenosine. Adenosine normally depresses neuron firing in many areas of the brain. It apparently does this by inhibiting the release of neurotransmitters, chemicals that carry nerve impulses from one neuron to the next.Like many other agents that affect neuron firing, adenosine must first bind to specific receptors on neuronal membranes. There are at least two classes of these receptors, which have been designated A1 and A2. Snyder·et·al. propose that caffeine, which is structurally similar to adenosine, is able to bind to both types of receptors, which prevents adenosine from attaching there and allows the neurons to fire more readily than they otherwise would.For many years, caffeine's effects have been attributed to its inhibition of the production of phosphodiesterase, an enzyme that breaks down the chemical called cyclic AMP. A number of neurotransmitters exert their effects by first increasing cyclic AMP concentrations in target neurons. Therefore, prolonged periods at the elevated concentrations, as might be brought about by a phosphodiesterase inhibitor, could lead to a greater amount of neuron firing and, consequently, to behavioral stimulation. But Snyder·et·aI point out that the caffeine concentrations needed to inhibit the production of phosphodiesterase in the brain are much higher than those that produce stimulation. Moreover, other compounds that block phosphodiesterase's activity are not stimulants.To buttress their case that caffeine acts instead by preventing adenosine binding, Snyder·et·al compared the stimulatory effects of a series of caffeine derivatives with their ability to dislodge adenosine from its receptors in the brains of mice. "In general,"they reported "[hl:6]the ability of the compounds to compete at the receptors correlates with their ability to stimulate locomotion in the mouse i. e., the higher their capacity to bind at the receptors, the higher their ability to stimulate locomotion.[/hl:6]" Theophylline, a close structural relative of caffeine and the major stimulant in tea, was one of the most effective compounds in both regards.There were some apparent exceptions to the general correlation observed between adenosine-receptor binding and stimulation. One of these was a compound called 3-isobutyl-1-methylxanthine (IBMX), which bound very well but actually depressed mouse locomotion. Snyder et al suggest that this is not a major stumbling block to their hypothesis. The problem is that the compound has mixed effects in the brain, a not unusual occurrence with psychoactive drugs. Even Caffeine, which is generally known only for its stimulatory effects, displays this property, depressing mouse locomotion at very low concentrations and stimulating it at higher ones.
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In the triangle above, does ?

(1)

(2)