Lemma: If n is a positive integer‚ [pic] proof: [pic] [pic] [pic] = an − bn. Theorem: If 2n + 1 is an odd prime‚ then n is a power of 2. proof: If n is a positive integer but not a power of 2‚ then n = rs where [pic]‚ [pic]and s is odd. By the preceding lemma‚ for positive integer m‚ [pic] where [pic]means "evenly divides". Substituting a = 2r‚ b = − 1‚ and m = s and using that s is odd‚ [pic] and thus [pic] Because 1
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Kiley O’Toole Lab Report 3 Purpose The purpose of this lab was to uncover the number of layers of zinc atoms around a piece of galvanized iron. This was done by pouring the hydrochloric acid onto the galvanized iron‚ thus removing the zinc from the piece of metal. Laboratory Procedure 1. Measured and recorded the mass of a piece of galvanized iron using a centigram balance and a ruler 2. Measured and recorded the length and width of the galvanized iron using the ruler 3. Put the
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Lab Report: Toothpickase and Enzymes September 19‚ 2012 Olivia DePhillips Lab Partner: Joy Morgan Meyers Signature: Introduction Enzymes are biological molecules that catalyze chemical reactions. In enzymatic reactions‚ the molecules at the beginning of the process‚ called substrates‚ are converted into different molecules‚ called products. Almost all chemical reactions in a biological cell need enzymes in order to occur at rates sufficient for life. Like all catalysts‚ enzymes work
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LAB 1 1. Describe the function of the following pieces of safety equipment and how each might be used: (10 points) a. Eye Wash (2 points) The eyewash fountain is used to rinse chemical splashes off the eyes. They are used by rinsing the eyes 15 to 30 minutes with water. b. Fire Blanket (2 points) Fire blankets are used to extinguish small fires. They are used by covering the small fires with the blankets until it extinguishes. c. Shower (2 points) Safety showers were made to eliminate any
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Student’s Name Date of Experiment- 11/27/12 Date Report Submitted 11/27/12 Title: Caloric Content of Food Purpose: to be able to measure the energy content of foods Procedure: We are going to take food items and burn them to heat water to be able to determine the amount of “energy” a food source can emit. Data Tables: |Data Table 1: Food Item - Observations
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Lab Report 3 In this lab‚ we will take a trip to the planetarium lab and will learn about Right ascension and declination‚ and altitude and zenith. After looking at the different points shown‚ we will log the altitude and zenith in the chart in our lab manual. Now we will look at the same points and label the right ascension and declination. Then we will learn about the easiest way to locate the star Polaris. As we started the first program‚ we answered a few questions to make sure we knew
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OCEAN COUNTY COLLEGE OFFICIAL COURSE DESCRIPTION DEPARTMENT OF SCIENCE AND ENGINEERING 1. Course Number and Title: CHEM-181 General Chemistry I 2. Semester Hours: 4 Contact Hours: (3 + 2) Lecture Lab 3. Catalog Description This course‚ intended for science majors‚ is the first course of a two-course sequence. Course topics include stoichiometry‚ inorganic nomenclature‚ solutions‚ gas laws‚ thermochemistry‚ atomic structure‚ and chemical bonding. The laboratory work includes
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LAB REPORT NUMBER TWO DATE: 3/25/2010 inal attachment Lab Experiment number 11 PURPOSE: To learn the Gram stain technique‚ the reason for the stain‚ and how to identify the results of the organisms stained. MATERIALS: Bunsen burner‚ inoculating loop‚ staining tray‚ glass slides‚ bibulous paper‚ lens paper‚ oil‚ and microscope METHODS: Apply Crystal Violet (Primary stain) for 1 minute. Rinse with D-water Apply Iodine (Mordant) for 1 minute. Rinse with D-water. Apply Alcohol (Decolorize) for
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This lab report will be detailing the steps taken and the results discovered when using spectrophotometry to determine the percentage of copper in a copper-clad penny and the thicknes of the copper layer on the copper-clad penny. After 1982‚ copper coating has been used in the creation of the penny because the cost of pure copper has increase to the point that the amount needed t omake a penny cost far more than the actual value of the penny. This lab allowed us to see just how much copper coating
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substrate fits the shape of the active site‚ the enzyme will alters its shape so the active site embraces the substrate and maintains a firm grip‚ known as induced fit. This allows for great variations of enzymes. Abstract In this experiment‚ my lab partners and I tested how time effects a catalase reaction. The amount of hydrogen peroxide was recorded after the reaction for the certain time given has taken place. We used sulfuric acid to stop the reaction with the catalase from occurring. This
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