silver square paper plates

Can someone please help with 2 math questions?
I will award points to best answer! please please please help. These are 2 questions that i just cant seem to figure out and I need to have them figured out by tomorrow morning. Sincerely, Thanks in advance!!
1) You want to cut out 2 circles of the same size from a sheet of paper that is twice as long as it is wide. If you want the circles to be as large as possible, what is the smallest percentage of wasted paper? Show all work
2) In designing medallions for your service club, you must purchase a 2in by 1in by 1/8 in rectangular design so as to enable the engraver to fit the clubs logo. The question is whether to have them made of solid pewter, or plated with sterling silver. The cost for solid pewter is $21 per cubic inch, whereas sterling silver plating costs $1.16 per square inch. Determine which process is cheaper. Show all calculations.
DO YOUR OWN HOMEWORK. Lazy bum
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9″ Silver Square Paper Luncheon Plates 18ct. $4.49 |
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Silver Solid Paper Square Dinner Plates~#22645 $4.29 |
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7″ Silver Square Paper Salad / Cake Plates 18ct. $3.49 |
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Silver color paper plates square $0.99 |
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Creative Converting 7.25 Square Paper Luncheon Plates, Shimmering Silver Color, 18-Count Packages (Pack of 5) $16.45 From dinner with friends or family to a special birthday or anniversary or even a wedding, Touch of Color adds style to any gathering…. |
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Square Dinner Plates – Silver Shimmer (12 Count) $2.39 Square Dinner Size Paper Plates – Silver Shimmer (12 Count)… |
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Creative Converting 9 1/4 Square Paper Dinner Plates, Shimmering Silver Color, 18-Count Packages (Pack of 5) $22.45 From dinner with friends or family to a special birthday or anniversary or even a wedding, Touch of Color adds style to any gathering…. |
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Silver Square Dinner Plates (12 count) $3.12 … |
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Silver Square Dessert Plates (12 count) $1.80 Includes (12) square dessert plates…. |
Origins And Contributions Of Baekeland And Becquerel
Baekeland, Leo
Born in St. Martens-Latem, Belgium, Leo Hendrick Baekeland was the son of a cobbler (Karel Baekeland) and a housemaid (Rosalia Merchie). He earned a B.S. in 1882 and a D.Sc. in 1884, with the highest honors, in organic chemistry from the University of Ghent. He joined the faculty at Ghent, which was then a leading center for the study of coal tar compounds. Interested in becoming an inventor, Baekeland used a traveling scholarship to visit the United States in 1889 (the year he married Celine Swart). His interest in photographic development brought him into contact with Richard Anthony of E. & H. T. Anthony and Company, who recruited Baekeland to join his American-based photographic company.
After two years Baekeland became an independent consultant, but he had little money and few prospects. Nevertheless, after experimenting with silver chloride emulsions, he developed a high-quality photographic printing paper, called Velox, sensitive enough to be used with artificial light. In 1899 the Eastman Kodak Company (located in Rochester, New York) bought the rights to Velox from Baekeland and his partner Leonard Jacobi for $750,000. This product represented a great leap forward in modern photographic technology.
At his home laboratory in Yonkers, New York, Baekeland then returned to his early interest in resin chemistry. Reacting phenol and phenol derivatives with formaldehyde, he learned enough about controlling the aldehyde -phenol ratio with acids and alkalis to synthesize several resins. Most notable was the phenol-formaldehyde polymer resin (Figure 1) he produced with an alkali catalyst. Baekeland developed high pressure and high temperature techniques that greatly improved the molding of this plastic, which he named Bakelite and patented in 1909. It was a super hard, lightweight, insoluble plastic with a tensile strength of 7,000 pound force per square inch (psi). Baekeland claimed to have synthesized the first true plastic.
In 1910 Baekeland founded the General Bakelite Corporation in Perth Amboy, New Jersey, which began producing Bakelite on a commercial scale the following year. Bakelite was sold in liquid and powder form for molding to specifications. It quickly gained popularity in a variety of household and industrial uses—such as electrical insulation, billiard balls, tabletops, switchboards, and (later) automobile ignition systems—where it often replaced natural materials or earlier plastics, especially celluloid. By 1939 the factory was producing more than 50 million pounds of Bakelite a year. Baekeland and his firm controlled more than 400 patents. However, competition from major chemical companies was intensifying, and Baekeland’s son George, who had worked for the company since 1923, did not wish to run it. So Baekeland, then seventy-five, sold the firm to Union Carbide and Carbon Corporation for roughly $16.5 million.
Baekeland earned many honors and awards, including the Franklin Medal of the Franklin Institute (1940), and the Perkin Medal (1916) and Messel Medal (1938) of the Society of the Chemical Industry. He was also elected president of the Chemists Club of New York (1904); the American Electrochemical Society (1909); the American Institute of Chemical Engineers (1912); and the American Chemical Society (1924). Eccentric in his old age, Baekeland spent much of his time alone, often in Coconut Grove, Florida, although he maintained a healthy correspondence with a number of colleagues on a broad range of subjects. He died in Beacon, New York, on February 23, 1944.
Becquerel, Antoine-Henri
Antoine-Henri Becquerel was born as the son of the physicist Alexandre-Edmond Becquerel, and the grandson of the physicist Antoine-César Becquerel, and it is not surprising that he followed in their footsteps. It is also not surprising that his research interests centered on solar radiation and phosphorescence, as these are phenomena that his father had investigated. He entered the École Polytechnique, in Paris, in 1872, which he left in 1874 and to which he subsequently returned. Becquerel received a doctorate degree from the Faculty of Sciences of Paris in 1888. In 1892, he was appointed professor of applied physics in the Department of Natural History at the Paris Museum, and in 1895, professor of physics at the École Polytechnique.
Becquerel’s early work focused on plane-polarized light, the phenomenon of phosphorescence (in which certain compounds glow after being exposed to direct light), and the absorption of light by crystals. But all of his early research became overshadowed by his discovery of natural radioactivity. Although Becquerel did not initially comprehend what he was observing, his landmark discovery of radioactivity paved the way for a new understanding of the atom and atomic structure. On February 24, 1896, Becquerel attended a meeting of the French Academy of Science and presented a short paper (one of the quickest methods in France at that time for disseminating results). One can well imagine Becquerel’s excitement as he reported his results to the members of the academy.
One wraps a Lumiere photographic plate with a bromide emulsion in two sheets of very thick black paper, such that the plate does not become clouded upon being exposed to the Sun for a day. One places on the sheet of paper, on the outside, a slab of the phosphorescent substance, and one exposes the whole to the Sun for several hours. When one then develops the photographic plate, one recognizes that the silhouette of the phosphorescent substance appears in black on the negative.
From this simple experiment, Becquerel concluded that the phosphorescent substance had to be emitting a type of ray that was passing through the paper and reducing the silver in the emulsion. This would seem to make sense, as the production of X rays, discovered a few years earlier by Wilhelm Röntgen, is accompanied by a soft glowing spot at the surface of the cathode ray tube. Becquerel decided to probe his unusual rays a little further. One week later, on March 2, 1896, Becquerel was back before the French Academy with the results of his further experiments. He had continued his experiments using a double sulfate salt of uranium and potassium (potassium uranium sulfate monohydrate), which has a strong but short-lived phosphorescence.
He carefully wrapped his photographic plates in black paper, coating the paper with a crust of the uranium double salt, and upon exposure to sunlight he once again observed the “signature” of the phosphorescence induced rays. However, repeating the experiment on Wednesday, February 26, and Thursday, February 27, he was frustrated by two days of only intermittent sunlight. And because the Sun made no appearance on the two days following, on March 1 he developed his plates. Expecting to see only a faint silhouette resulting from the wrapped plates’ intermittent exposure to sunlight, he was surprised to see that the silhouettes appeared with great intensity.
Becquerel suspected that the rays which produced the silhouettes emanated from the uranium salt itself, and that the small amount of sunlight was of no consequence. He arranged three more experiments, in which photographic plates were kept completely in the dark but put in direct contact with: (1) the salt; (2) a thin sheet of glass; and (3) a thin sheet of aluminum. He surmised that the glass would eliminate any possibility that a silhouette was the consequence of a chemical reaction, and that the aluminum would block the mysterious rays.
Developing the photographic plates, Becquerel observed an intensely defined silhouette on the first two plates, and a clear but considerably weaker silhouette on the third. Because he had double-boxed his plates inside his dark room and had placed the ensembles inside a drawer that he then closed, he was able to conclude that his mysterious rays were not related to phosphorescence and were not induced by sunlight. It was another four years before Becquerel’s radiation became understood as the production of β -rays (high energy electrons), but by then there was no question that Becquerel had discovered the instability of some atomic nuclei, and that he was richly deserving of the 1903 Nobel Prize that he shared with Pierre and Marie Curie.
About the Author
Dr. Badruddin Khan teaches Chemistry in the University of Kashmir, Srinagar, India.
Little Rock Family on Today’s THV at 5: Celebrate with some summer fun
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