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Arithmetic

Weather Station Models

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87 87 87 How to convert between station model number and actual barometric pressure: If the first number is less than or equal to 5, place a 10 in front of the number and a decimal between the last two digits If the first number is greater than 5 place a nine in front of the number and a decimal between the last two digits. * * *
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Bob Jones PPT Notes -- Chapter 3b

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Measurements Reporting 1 how close a measurement or the average of several measurements is to the established or theoretical value accuracy Accuracy How close you are to the correct answer Small percent error ? 100% Percent Error O ? A A percent error = Your answer is 2351. The correct answer is 2048. What is your percent error? 2351 ? 2048 2048 ? 100 = 14.79% Sample Problem how close several measurements of the same event are to each other how reproducible the results are precision precise but not accurate 9.75 sec 9.74 sec 9.73 sec 9.75 sec Electronic Gate Timer Hand Timers Avg: 9.7425 9.0241sec accurate but not precise 9.51 sec 9.20 sec 8.52 sec 8.85 sec Electronic Gate Timer Hand Timers Avg: 9.0200 9.0241sec precise and accurate 9.02 sec 9.01 sec 9.03 sec 9.02 sec

Practice Test on Algebraic Equations and Functions

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An equivalent expression to the algebraic expression 9x2 ? 4y2 is: A) 3x ? 2y B) 6(3x2 ? 2y2) C) (3x + 2y)(3x ? 2y) D) (2y + 3x)(2y ? 3x) Correct. Your answer=C, Correct answer=C Explanation: 9x2 ? 4y2 = (3x + 2y)(3x ? 2y) Factor the trinomial x2 ? 2x ? 15: A) (x ? 3)(x ? 5) B) (x + 3)(x ? 5) C) (x ? 3)(x + 5) D) (x + 3)(x + 5) Correct. Your answer=B, Correct answer=B Explanation: The numbers ?5 and 3 multiply to give ?15 and add to give ?2. x2 ? 2x ? 15 = x2 ? 5x +3x ? 15 = x (x ? 5) + 3 (x ? 5) = (x ? 5)(x + 3) Fully factored, the quadratic function y = 2x2 + 10x + 12 can be expressed as: A) y = 2(x + 6)(x + 2) B) y = 2(x + 3)(x + 2) C) y = 2(x + 6)(x + 1) D) y = 2(x + 3)(x + 1) Correct. Your answer=B, Correct answer=B Explanation: y = 2x2 + 10x + 12 y = 2(x2 + 5x + 6)

AHSME 1987

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USA AIME 1987 1 An ordered pair (m,n) of non-negative integers is called ?simple? if the addition m+n in base 10 requires no carrying. Find the number of simple ordered pairs of non-negative integers that sum to 1492. 2 What is the largest possible distance between two points, one on the sphere of radius 19 with center (?2,?10, 5) and the other on the sphere of radius 87 with center (12, 8,?16)? 3 By a proper divisor of a natural number we mean a positive integral divisor other than 1 and the number itself. A natural number greater than 1 will be called ?nice? if it is equal to the product of its distinct proper divisors. What is the sum of the first ten nice numbers? 4 Find the area of the region enclosed by the graph of |x? 60|+ |y| = |x/4|.

AP Physics

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Presentation of chapter 1 Frank Chen Period 5 1.4 Conversion of Units In 1960, an international committee established a set of fundamental quantities of science which is called SI. There is also a set of U.S. customary units, theses are some examples of convert U.S. into SI: 1 mile = 1609 m = 1.609 km; 1 m = 39.37 in. = 3.281 ft; 1 ft = 0.3048m = 30.48 cm; 1 in = 0.0254m = 2.54 cm Conversion Factors The method to convert the different units into the required unit Ex. 13.0 in. = (15 in.)(2.54 cm/1in.) = 38.1 cm 1.5 Order of magnitude Order of Magnitude is an scientific method use symbol ?~?to estimate a magnitude round into one digit and expressed in scientific notation. Ex. 0.00054m ~ 10^-4m 3600m ~ 10^3m 4 1.6 Uncertainty in Measurements

DBA

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DBA for Module 1: What is the definition of science. Science is The study of physical properties and the history of the natural world. What is the difference between precision and accuracy: precision is given by the ability of the instrument to get as close to the true value of the measurement as possible. some measuring instruments are more precise then others. In other words, an instrument that measures to the nearest 100th place is more precise than the one that measures to the nearest 10th place. Accuracy is how accurate your measurement is. How careful one is in reading the measurement correctly. How are significant figures used in calculations?
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