not a perfect square trinomial? A. C. B. D. _____Which of the following pairs of values of x satisfies the equation ? A. -7 and -4 B. -7 and 4 C. 7 and 4 D. 7 and -4 _____A rectangular deck is y yard wide. The length is y yards longer than the width. Which expression represents the area of the deck? A. 4y B. 4+y C. D. y(y+4) Which is not a quadratic equation? A. C. B. D. (x+3) (x+5) How many terms are there in 7? A. 1 B. 2 C
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is 203.50 3. EXPONENTIAL SMOOTHING: α=0.1 Ft+1 = α Xt + (1 - α ) Ft Let the starting point forecast be Jan sales‚ F1=200. And X1=200 Forecast for Feb‚ F2=200. Actaul Sales‚ X2=135 F3 (forecast for March)= α *X2+(1- α)*F2=0.1*135+0.9*200 In EXCEL: For the cell‚ F3 enter =$E$16*C2+(1-$E$16)*F2 where $E$16 is value of 0.1‚ which is the smoothing constant‚ α. So‚ the forecast for Dec is 205.56 The following shows the plot for Forecast by 3 MA‚ 5MA and Exponential Smoothing‚ 0.1 In
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represented as probabilities. Life testing is a general term used to describe the experimentation and statistical analysis performed to investigate failure rates. Probability distributions that are used to model failure times are typically the exponential distribution‚ the gamma distribution‚ the Weibull distribution‚ and the lognormal distribution. Statistical analysis can be employed to make inferences on the failure rates under these distributional assumptions or to make general inferences
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that the equation for the numerator is a geometric sequence. So I try to find the equation of the sequence by using the quadratic formula‚ y = ax2 + bx + c‚ where y = the numerator and x = the row number. 6 = a(3)2 + b(3) +0 6 = 9a +3b 6 = 9a + 3(-2a + 1.5) 6 = 9a – 6a + 4.5 1.5 = 3a a = 0.5 b = -2(0.5) + 1.5 b = -1 + 1.5 b = 0.5 3 = a(2)2 + b(2) +0 3 = 4a +2b b = 3-4a2 b = -2a + 1.5 First I plugged in 2 for x and 3 for y (the second row) to find the quadratic equation for this
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class. Show your work. 1. Match the differential equation in (a)-(c) to a family of solutions in (d)-(f). The point of this exercise is not to solve the differential equations in a) - c). (a) y = y 2 (b) y = 1 + y 2 (c) yy = 3x (d) y = tan(x + C) (e) 3x2 − y 2 = C (f) y = −1/(x + C) 2. Find the value of k so that y = e3t + ke2t is a solution of y − 2y − 3y = 3e2t . 3. Solve the following differential equations and IVP’s. You may solve these equations implicitly. (a) y + 3x2 y = x2 (b) y ln t = y+1
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complete and conscientious work Write out‚ number‚ and letter all questions Use regular font for the questions Use bold font for your answers 1) Explain how the logistic population growth model modifies the exponential population growth model to incorporate the idea of resource limitation? Exponential growth is possible only when infinite natural resources are available; this is not the case in the real world. Individuals will compete (with members of their own or other species) for limited resources
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indifferent and estranged‚ but that it also does not belong to the one who is laboring. That is‚ the ownership of one’s labor is transferred‚ not through due course of law or any other such institution‚ to another person by the act of laboring itself. Exponentials of Alienation Marx commences his essay by maintaining that workers’ miseries are directly proportional to their level of production; the more value workers attribute to their product‚ by virtue of their labor‚ the more miserable they become.
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What is the net result of reducing the duration of a task (crashing) not on the critical path? A. Decreased project overhead costs B. Reduced likelihood of liquidated damages for late delivery C. Increased slack time associated with the task D. Reduction in the project duration 12) The idea of the value density calculation is: A. finding a carrier that can handle the weight B. matching the weight of the product with an appropriate carrier C. deciding where items should
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The Father of Algebra In the source‚ Shawn Overbay writes a biography on The Father of Algebra‚ Al-Khwarizmi. Overbay shows and explains the equations that Al-Khwarizmi invented and how they were used. In the source‚ the author states “Al-Khwarizmi wrote numerous books that played important roles in arithmetic and algebra” (Overbay). Not only was The Father of Algebra a mathematician‚ he was also an inventor‚ an Astronomer‚ and a Scholar. The visual source is a page from Al-Khwarizmi’s Kitab
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A or A* in the following topics: 1. Surds 2. Recurring Decimals 3. Limits of Accuracy 4. Indices 5. Proportionality 6. Rearranging Formulae 7. Algebraic Fractions 8. Using Graphs 9. Quadratic Equations 10. Simultaneous Equations 11. Algebraic Proofs 12. Circle Theorems 13. Trigonometry – for triangles which are not right-angled 14. Vectors 15. Similar Triangles 16. Congruent Triangles 17. Scale Factors – for volumes & surface areas of
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