Directions: Answer the questions below. Make sure to show your work when applicable. 1. Solve the absolute value equation. Check your solutions. | 5x + 13| = –7 5x + 13 = -7 5x = -20 X = -4 2. Simplify the expression below. 6n2 - 5n2 + 7n2 6 – 5 + 7 = 8 =8n2 3. The total cost for 8 bracelets‚ including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet. 8 x + 6 = 54 $8.00 each bracelets 4. The total cost for 8 bracelets
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Kuta Software - Infinite Algebra 2 Name___________________________________ Writing Equations of Circles Date________________ Period____ Use the information provided to write the standard form equation of each circle. 1) 8 x + x 2 − 2 y = 64 − y 2 2) 137 + 6 y = − y 2 − x 2 − 24 x 3) x 2 + y 2 + 14 x − 12 y + 4 = 0 4) y 2 + 2 x + x 2 = 24 y − 120 5) x 2 + 2 x + y 2 = 55 + 10 y 6) 8 x + 32 y + y 2 = −263 − x 2 7) Center: (−11‚ −8) Radius: 4 8) Center: (−6‚ −15) Radius: 5 9) ( x − 16) 2
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Prefixes and Equations 1mL = -1x10 3 L = 0.001L 1 kilometers (1km) = 1000m (1x103 m) 1 kilometer (1KL) = 1000L (1x10 3 L) Prefixes Symbol Numerical Value Scientific Notation Equality Kilo | K | 1000 | 103 | 1km = 1x103m 1m = 1x10-3Km | Mega | M | 1 000 000 | 106 | 1Mg = 1x106g1g = 1x10-6Mg | Giga | G | 1 000 000 000 | 109 | 1Gm = 1x109m1m = 1x10-9Gm | Tera | T | 1 000 000 000 000 | 1012 | 1Ts = 1x1012s1s = 1x10-12Ts | Deci | d | 0.1 | 10-1 | 1dL = 1x10-1L1L = 1x101dL (10dL) | *These
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Name __________________ Pendulum Go to http://phet.colorado.edu/simulations/sims.php?sim=Pendulum_Lab and click on Run Now. 1. Research to find equations that would help you find g using a pendulum. Design an experiment and test your design using Moon and Jupiter. Write your procedure in a paragraph that another student could use to verify your results. Show your data‚ graphs‚ and calculations that support your strategy. The time it takes a pendulum to complete
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proportional to the source acting in the circuit. This is also known as Linearity. The proportionality constant (K) relates the input voltage to the output voltages as Superposition is another way to solve a linear electrical circuit. The Superposition Theorem states that in any linear electrical circuit‚ any voltage or current value can be obtained by taking the individual contributions to that voltage or current as a result of each source taken alone and summing them together Aim The aim
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the diet plan: The chicken food type should contribute at most 25% of the total calories intake that will result from the diet plan. The vegetable food type should provide at least 30% of the minimum daily requirements for vitamins. Provide a linear programming formulation for the above case. (No need to solve the problem.) Element | Milk | Chicken | Bread | Vegetables | Calories (X1) | 160 | 25% * 210 | 120 | 150 | Carbohydrates (X2) | 110 | 130 | 110 | 120 | Protein (X3) | 90 | 190
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procedures attained. In contrast‚ being too dependent from computers has a negative outcomes. Example of it‚ calculator is a computer. Some people are too dependent using calculator in solving simple equation. This attitude will lead people not using critical thinking in solving an equation instead they use calculator for faster result and convenient way. In addition on that‚ internet are vastly used nowadays‚ some students used internet for their projects and searching some articles. Instead
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QUANTITATIVE METHODS II Mid-Term Examination Monday‚ October22‚ 2012 Time : 150 minutes Total No. of Pages :17 Name ________________________ Total No. of Questions: 3 Roll No. ________________________ Total marks:35 Section: _______________________ Instructions 1. This is a Closed Book Exam. You are not allowed to carry anything other than stationary and calculator. 2. Answer all questions only in the space provided following the question. 3.
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Linear Modeling Project The purpose of this experiment is to determine whether a player’s statistics in baseball are related to the player’s salary. The sample set was taken out of 30 players who were randomly selected from the top 100 fantasy baseball players in 2007. We displayed the information with a scatter plot‚ and then determined with a linear equation the line of best fit. Along with the line of best fit we are going to analyze the Pearson Correlation Coefficient. This value is represented
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Theory There are numerous equations involved in this experiment all of which are important in different ways and are listed below: Equation 1 The first equation of motion for the carriage is: mx.. + cx. + kx = m0eω2sinωt Where: m – Mass of carriage c – Damping coefficient k – Spring stiffness ω – Frequency of input vibrations (Rads/s) m0 – Mass of the out-of-balance rotating masses e – Eccentricity of these masses This is the standard equation of motion for single degree
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