a) 93x272x813= (32)3x(33)2x(34)3= 36x36x312= 324 b) 57x253/1254= (57x(52)3)/(53)4= 57x56/512=513/512= 5 4. 5. To find the equation of the exponential function that pass through (0‚-1)‚(-1‚-3)‚(-2‚-9) with x-axis as asymptote: Formula: y=a(bx) y-intercept (0‚-1) 1) Point 1 (-1‚-3) 2) Point 2 (-2‚-9) (-3)=ab-1 (-9)=ab-2 -3/b-1=a (-9)/b-2=a Find b- Since a=a Therefore -3/b-1= (-9)/b-2 -3(b-2)= -9(b-1) -3(b-2)-9(b-1)=0 b-1(-3b-1-9)=0 b-1=0 or (-3b-1-9)=0 1/b=0 -3b-1=9 1(0)=b b-1=3
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R E F E R E N C E PA G E 1 ALGEBRA Cut here and keep for reference GEOMETRY Geometric Formulas a b a b c d c d a b ad bd d c ad bc bc Formulas for area A‚ circumference C‚ and volume V: Triangle A 1 2 1 2 Arithmetic Operations ab a b c c a b ab c b ac Circle A C r2 2 r Sector of Circle A s 1 2 bh ab sin r2 in radians r Exponents and Radicals x mx n x m n a h r b ¨ r s xm x mn n x xn x m ¨ xm 1 xn n n r n xy x1 n n
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m. The case of n goods Budget constraint: p1x1 + p2x2+…+ pnxn ≤ m. Properties of the Budget Set Budget line（预算线）: p1x1 + p2x2 = m. Vertical intercept: m/p2 Horizontal intercept: m/p1. Slope: – p1/p2 Economic interpretation of slope: For the bundle (x1‚ x2): p1x1 + p2x2 = m. After a change in bundle (△x1‚ △x2): p1(x1+△x1) + p2(x2+△x2) = m. good 2
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Senior School STUDENT NAME: _______________________________________ GRADE 11 TEACHER: ______________________________ Date submitted: ____________ IB Chemistry TOPIC 1: Stoichiometric Relationships SUB TOPIC: Gas Laws ASSESSMENT TASK Laboratory Report INVESTIGATION: Investigating the Relationship Between Pressure and Volume Using Data Loggers YEAR 11 IB Chemistry ASSESSMENT CRITERIA The result for this Assessment Task will contribute to your A – E grade for the semester
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Springs and Oscillators Abstract Two experiments were conducted to find the spring constant of a steel spring‚ and another experiment using a rubber band was performed to see if it agreed with Hooke’s law. The spring constant was found statically by measuring the distance traveled as different masses were applied‚ and also found dynamically by measuring the period of a mass hung from one end and pulled down then released into vertical oscillations. We found that the rubber band
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1985 0.22 1988 0.25 1991 0.29 1995 0.32 2. Create a model to predict postal rates from the year. 8-31 Copyright 2010 Pearson Education‚ Inc. 3. Do you think a linear model is appropriate here? Explain. 4. Interpret the slope of your model in context. 5. Interpret the intercept of your model in context. 6. What is the correlation between year and postal rate? 7. Explain the meaning of R2 in the context of this problem. 8. Would it be better for customers for a year to have a negative residual
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consuming leisure. If he spends his time gathering coconuts‚ he has less time for leisure but gets to eat the coconuts. We can depict Robinson production opportunities and preferences over the two goods. At this point‚ the slope of the indifference curve must equal the slope ofthe production function by the standard argument: if they crossed‚ therewould be some other feasible point that was preferred. The utility maximizing choice for Robinson must be the point at which the highest indifference
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sales as the dependent variable‚ the company will conduct a simple linear regression on the data below: Prics ($) | Sales | 1.30 | 100 | 1.60 | 90 | 1.80 | 90 | 2.00 | 40 | 2.40 | 38 | 2.90 | 32 | | | What is the estimated slope (b1 for this data set? 161.3855 0.784 -0.3810 -48.193 POINT VALUE: 1.0 points 2. A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do so‚ the company randomly chooses
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Math Review for the Quantitative Reasoning Measure of the GRE® revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important to understand in order to solve problems and to reason quantitatively on the Quantitative Reasoning measure of the GRE revised General Test. The following material includes many definitions‚ properties‚ and examples‚ as well as a set of exercises (with answers) at the end of each review
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Math Review for the Quantitative Reasoning Measure of the GRE® revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important to understand in order to solve problems and to reason quantitatively on the Quantitative Reasoning measure of the GRE revised General Test. The following material includes many definitions‚ properties‚ and examples‚ as well as a set of exercises (with answers) at the end of each
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