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As companies deal with ever larger amounts of data and increasingly demanding workloads, a new class of databases has taken hold. Dubbed “NoSQL”, these databases trade some of the features used by traditional relational databases in exchange for increased performance and/or partition tolerance. But as NoSQL solutions have proliferated and differentiated themselves (into key-value stores, document databases, graph databases, and “NewSQL”), trying to evaluate the database landscape for a particular class of problem becomes more and more difficult. In this paper we attempt to answer this question for one specific, but critical, class of functionality – applications that need the highest possible raw performance for a reliable storage engine. There have been a few attempts to provide standardized tools to measure performance or other characteristics, but these have been hobbled by the lack of a clear mandate on exactly what they’re testing, plus an inability to measure load at the highest volumes. In addition, there is an implicit tradeoff between the consistency and durability requirements of an application and the maximum throughput that can be processed. What is needed is not an attempt to quantify every NoSQL solution into one artificial bucket, but a more systemic analysis of how some of these databases can achieve under assumptions that mirror real-world application needs. We attempted to provide a comprehensive answer to one specific set of use cases for NoSQL databases -- consumer-facing applications which require extremely high throughput and low latency, and whose information can be represented using a key-value schema. In particular, we look at two common scenarios.

Tags:
Nosql, Security and Encryption,

The following procedures are to be followed for scoring student answer papers for the Regents Examination in Algebra 2/Trigonometry. More detailed information about scoring is provided in the publication Information Booklet for Scoring the Regents Examinations in Mathematics. Do not attempt to correct the student’s work by making insertions or changes of any kind. In scoring the open-ended questions, use check marks to indicate student errors. If the student’s responses for the multiple-choice questions are being hand scored prior to being scanned, the scorer must be careful not to make any stray marks on the answer sheet that might later interfere with the accuracy of the scanning. Unless otherwise specified, mathematically correct variations in the answers will be allowed. Units need not be given when the wording of the questions allows such omissions. Each student’s answer paper is to be scored by a minimum of three mathematics teachers. No one teacher is to score more than approximately one-third of the open-ended questions on a student’s paper. On the student’s separate answer sheet, for each question, record the number of credits earned and the teacher’s assigned rater/scorer letter. Schools are not permitted to rescore any of the open-ended questions on this exam after each question has been rated once, regardless of the final exam score. Schools are required to ensure that the raw scores have been added correctly and that the resulting scale score has been determined accurately. Raters should record the student’s scores for all questions and the total raw score on the student’s separate answer sheet. Then the student’s total raw score should be converted to a scale score by using the conversion chart that will be posted on the Department’s web site at: http://www.p12.nysed.gov/apda/ on Tuesday, June 19, 2012.

Tags:
Algebra trigonometry, Education,

ALGEBRA 2/ TRIGONOMETRY Friday, June 14, 2013 — 1:15 – 4:15 p.m. SAMPLE RESPONSE SET Table of Contents Practice Papers—Question 28 . . . . . . . . . . . . . . . . . . . . . . . 2 Practice Papers—Question 29 . . . . . . . . . . . . . . . . . . . . . . . 6 Practice Papers—Question 30 . . . . . . . . . . . . . . . . . . . . . . 10 Practice Papers—Question 31 . . . . . . . . . . . . . . . . . . . . . . 15 Practice Papers—Question 32 . . . . . . . . . . . . . . . . . . . . . . 18 Practice Papers—Question 33 . . . . . . . . . . . . . . . . . . . . . . 21 Practice Papers—Question 34 . . . . . . . . . . . . . . . . . . . . . . 26 Practice Papers—Question 35 . . . . . . . . . . . . . . . . . . . . . . 30 Practice Papers—Question 36 . . . . . . . . . . . . . . . . . . . . . . 33 Practice Papers—Question 37 . . . . . . . . . . . . . . . . . . . . . . 41 Practice Papers—Question 38 . . . . . . . . . . . . . . . . . . . . . . 46 Practice Papers—Question 39 . . . . . . . . . . . . . . . . . . . . . . 51 Practice Papers—Question 28 28 Determine the sum and the product of the roots of the equation 12x2 ϩ x Ϫ 6 ϭ 0. Score 2: The student has a complete and correct response. Algebra 2/Trigonometry – June ’13 [2] Practice Papers—Question 28 28 Determine the sum and the product of the roots of the equation 12x2 ϩ x Ϫ 6 ϭ 0. Score 1: The student made a computational error by omitting a negative sign. Algebra 2/Trigonometry – June ’13 [3] Practice Papers—Question 28 28 Determine the sum and the product of the roots of the equation 12x2 ϩ x Ϫ 6 ϭ 0. Score 1: The student made a conceptual error by using the expression Algebra 2/Trigonometry – June ’13

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Algebra trigonometry, Education,

SAMPLE RESPONSE SET Table of Contents Question 28 . . . . . . . . . . . . . . . . . . . 2 Question 29 . . . . . . . . . . . . . . . . . . . 5 Question 30 . . . . . . . . . . . . . . . . . . . 9 Question 31 . . . . . . . . . . . . . . . . . . 12 Question 32 . . . . . . . . . . . . . . . . . . 16 Question 33 . . . . . . . . . . . . . . . . . . 21 Question 34 . . . . . . . . . . . . . . . . . . 25 Question 35 . . . . . . . . . . . . . . . . . . 28 Question 36 . . . . . . . . . . . . . . . . . . 31 Question 37 . . . . . . . . . . . . . . . . . . 37 Question 38 . . . . . . . . . . . . . . . . . . 44 Question 39 . . . . . . . . . . . . . . . . . . 49 Question 28 28 Show that sec θ sin θ cot θ ϭ 1 is an identity. Score 2: The student has a complete and correct response. Algebra 2/Trigonometry – Jan. ’14 [2] Question 28 28 Show that sec θ sin θ cot θ ϭ 1 is an identity. Score 1: 1 sin θ The student made a substitution error by replacing _____ with _____ . Algebra 2/Trigonometry – Jan. ’14 tan θ [3] cos θ Question 28 28 Show that sec θ sin θ cot θ ϭ 1 is an identity. Score 0: The student made multiple errors when substituting for sec θ and sin θ. Algebra 2/Trigonometry – Jan. ’14 [4] Question 29 29 Find, to the nearest tenth of a square foot, the area of a rhombus that has a side of 6 feet and an angle of 50°. Score 2: The student has a complete and correct response. Algebra 2/Trigonometry – Jan. ’14

Tags:
Algebra trigonometry, Education,

To determine the student’s final examination score, find the student’s total test raw score in the column labeled “Raw Score” and then locate the scale score that corresponds to that raw score. The scale score is the student’s final examination score. Enter this score in the space labeled “Scale Score” on the student’s answer sheet. Schools are not permitted to rescore any of the open-ended questions on this exam after each question has been rated once, regardless of the final exam score. Schools are required to ensure that the raw scores have been added correctly and that the resulting scale score has been determined accurately. Because scale scores corresponding to raw scores in the conversion chart change from one administration to another, it is crucial that for each administration the conversion chart provided for that administration be used to determine the student’s final score. The chart above is usable only for this administration of the Regents Examination in Algebra 2/Trigonometry. Algebra 2/Trigonometry Conversion Chart - June '13

Tags:
Algebra trigonometry, Education,

This review was originally written for my Calculus I class but it should be accessible to anyone needing a review in some basic algebra and trig topics. The review contains the occasional comment about how a topic will/can be used in a calculus class. If you aren’t in a calculus class you can ignore these comments. I don’t cover all the topics that you would see in a typical Algebra or Trig class, I’ve mostly covered those that I feel would be most useful for a student in a Calculus class although I have included a couple that are not really required for a Calculus class. These extra topics were included simply because the do come up on occasion and I felt like including them. There are also, in all likelihood, a few Algebra/Trig topics that do arise occasionally in a Calculus class that I didn’t include. Because this review was originally written for my Calculus students to use as a test of their algebra and/or trig skills it is generally in the form of a problem set. The solution to the first problem in a set contains detailed information on how to solve that particular type of problem. The remaining solutions are also fairly detailed and may contain further required information that wasn’t given in the first problem, but they probably won’t contain explicit instructions or reasons for performing a certain step in the solution process. It was my intention in writing the solutions to make them detailed enough that someone needing to learn a particular topic should be able to pick the topic up from the solutions to the problems. I hope that I’ve accomplished this.

Tags:
Algebra trigonometry, Education,

10. Given: 1 − 5 x = 6 x −7 , find all real values of x which satisfy the equation. 11. The radius of a circular fountain is 10 ft. A sidewalk of uniform width is constructed around the outside of the fountain and has an area of 69π ft2. How wide is the sidewalk? 12. A train leaves a station and travels north at a speed of 75 mph. Two hours later, a second train leaves on a parallel track traveling north at 125 mph. How far from the station will the faster train overtake the slower train? 13. Use "completing the square" to rewrite x 2 − 4 x + 3 = 0 in the form ( x − c)2 = d . 14. Write an equation for y in terms of x assuming that y is proportional to x and y = 42 when x = 6. 4 x + 2 y = 14 15. Given the system of equations , find the value of y: 2 x − 8y = 8 16. Given: f ( x) = 3 + x 2 , find f ( x + h) − f ( x). 17. Given: f ( x) = x 2 − 9 , find f ( x − 3) . 18. What is the domain of the function y = 5 ? 9− x 19. Find the slope-intercept form of the line through (1,4) and (3,-2). 20. Temperature T in degrees Fahrenheit is given by T = 9 C + 32 where C is temperature in 5 degrees Celsius. What is the Celsius equivalent to 77°F? 21. Given g (2) = 4 and f ( x) = x / 2 , find f (g (2)) . 22. Find the point(s) of intersection of the curves x 2 + y 2 = 1 and y + x = 0 . 23. Given f ( x) = −3 x 2 − 18 x − 15 , find the vertex and the maximum or minimum value. 24. Solve for x: 2 ≤ 5 − 2 x ≤ 22 25. Solve for x: 3 x − 2 − 6 ≥ 0 26. Solve for x: x 2 − 35 ≤ 1 27. Find the roots of f ( x) = ( x 2 − 7 x + 12) 2 and state the multiplicity of each. 28. Solve for x: e −4 x = e . 29. Solve for x: 34 x +1 − 5 = 22 . 30. Is the point ( ...

Tags:
Algebra trigonometry, Education,