[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-201740-en":3,"doc-seo-201740-105":29,"detail-sidebar-cat-0-en-105":88},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":20,"language":21,"language_code":22,"site_id":23,"html_lang":22,"table_of_contents":24,"faqs":25,"seo_title":26,"seo_description":14,"update_tm":27,"read_time":28},201740,1374402739827,"Nguyễn Văn Học","https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660",4,"Exam","Mathematics Reference Sheet","This document is a comprehensive mathematics reference sheet designed to aid students and professionals in various mathematical applications. It includes essential conversion tables for U.S. Customary to Metric units and vice versa, covering length, volume, and weight. The sheet also provides key formulas for equations of lines, such as slope-intercept and standard form, and the fundamental Pythagorean Theorem. Furthermore, it details the rules of exponents, including product of powers, quotient of powers, zero exponents, and negative exponents. A section is dedicated to volume formulas for common geometric shapes: cylinder, cone, and sphere. The resource is structured for clarity and quick access to critical mathematical information, serving as a valuable tool for problem-solving and learning across different educational and professional contexts.","Mathematics Reference Sheet  \nConversions  \nU.S. Customary  \n1 foot = 12 inches  \n1 yard = 3 feet  \n1 mile = 5280 feet  \n1 acre ≈ 43,560 square feet  \n1 cup = 8 fluid ounces  \n1 pint = 2 cups  \n1 quart = 2 pints  \n1 gallon = 4 quarts  \n1 gallon = 231 cubic inches  \n1 pound = 16 ounces  \n1 ton = 2000 pounds  \n1 cubic foot ≈ 7.5 gallons  \nU.S. Customary to Metric  \n1 inch ≈ 2.54 centimeters  \n1 foot ≈ 0.3 meter  \n1 mile ≈ 1.6 kilometers  \n1 quart ≈ 0.95 liter  \n1 gallon ≈ 3.79 liters  \n1 cup ≈ 237 milliliters  \n1 pound ≈ 0.45 kilogram  \n1 ounce ≈ 28.3 grams  \n1 gallon ≈ 3785 cubic centimeters  \nTime  \n1 minute = 60 seconds  \n1 hour = 60 minutes  \n1 hour = 3600 seconds  \n1 year = 52 weeks  \nTemperature  \nC =  (F − 32) F = C + 32  \nMetric  \n1 centimeter = 10 millimeters  \n1 meter = 100 centimeters  \n1 kilometer = 1000 meters  \n1 liter = 1000 milliliters  \n1 kiloliter = 1000 liters  \n1 milliliter = 1 cubic centimeter  \n1 liter = 1000 cubic centimeters  \n1 cubic millimeter = 0.001 milliliter  \n1 gram = 1000 milligrams  \n1 kilogram = 1000 grams  \nMetric to U.S. Customary  \n1 centimeter ≈ 0.39 inch  \n1 meter ≈ 3.28 feet  \n1 kilometer ≈ 0.6 mile  \n1 liter ≈ 1.06 quarts  \n1 liter ≈ 0.26 gallon  \n1 kilogram ≈ 2.2 pounds  \n1 gram ≈ 0.035 ounce  \n1 cubic meter ≈ 264 gallon  \nEquations of Lines  \nSlope-intercept formy = mx + b  \nStandard form  \nax + by = c, a, b ≠ 0  \nPythagorean Theorem  \na 2 + b 2 = c 2  \nb  \nRules of Exponents  \nProduct of Powers Property: am ⋅ an = a m + n  \nm  \nQuotient of Powers Property:  = a m − n, where a ≠ 0  \na  \nZero Exponents: a 0 = 1, where a ≠ 0  \nNegative Exponents: a −n = , where a ≠ 0  \na  \nVolume  \nCylinder  \n V = Bh = πr2h  \nCone  \n V = Bh =  π r2h  \nSphere  \n V =  πr3","cbCaip3TH6zL8ijm","https://ap.wps.com/l/cbCaip3TH6zL8ijm","pdf",63163,1,"English","en",105,"# Mathematics Reference Sheet\n## Conversions\n### U.S. Customary\n### U.S. Customary to Metric\n### Metric\n### Metric to U.S. Customary\n### Time\n### Temperature\n## Equations of Lines\n## Pythagorean Theorem\n## Rules of Exponents\n## Volume\n### Cylinder\n### Cone\n### Sphere","[{\"question\":\"What are the key sections covered in this mathematics reference sheet?\",\"answer\":\"The reference sheet covers conversions between U.S. Customary and Metric units, equations of lines, the Pythagorean Theorem, rules of exponents, and volume formulas for cylinders, cones, and spheres.\"},{\"question\":\"What types of conversions are provided in the document?\",\"answer\":\"The document provides conversions for length (inches to centimeters, miles to kilometers, etc.), volume (quarts to liters, gallons to cubic inches, etc.), and weight (pounds to kilograms, ounces to grams, etc.).\"},{\"question\":\"Can you provide the formula for the volume of a cylinder from the reference sheet?\",\"answer\":\"Yes, the formula for the volume of a cylinder is given as V = Bh = πr²h, where B is the area of the base, r is the radius, and h is the height.\"}]","Mathematics Reference Sheet | 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are the key sections covered in this mathematics reference sheet?","Question",{"text":72,"@type":73},"The reference sheet covers conversions between U.S. Customary and Metric units, equations of lines, the Pythagorean Theorem, rules of exponents, and volume formulas for cylinders, cones, and spheres.","Answer",{"name":75,"@type":70,"acceptedAnswer":76},"What types of conversions are provided in the document?",{"text":77,"@type":73},"The document provides conversions for length (inches to centimeters, miles to kilometers, etc.), volume (quarts to liters, gallons to cubic inches, etc.), and weight (pounds to kilograms, ounces to grams, etc.).",{"name":79,"@type":70,"acceptedAnswer":80},"Can you provide the formula for the volume of a cylinder from the reference sheet?",{"text":81,"@type":73},"Yes, the formula for the volume of a cylinder is given as V = Bh = πr²h, where B is the area of the base, r is the radius, and h is the 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