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MATH 110 Study Guide - Midterm Guide: Pencil, Scantron Corporation, Asymptote

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turquoisegnu128

25 Oct 2018

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This examination will be machine processed by the university testing service. Use only a number 2 pencil on your scantron. On your scantron identify your name, this course (math: and the date. Code and blacken the corresponding circles on your scantron for your student i. d. number and class section number. There are 20 multiple choice questions each worth ve points. For each problem four possible answers are given, only one of which is correct. You should solve the problem, note the letter of the answer that you wish to give and blacken the corresponding space on the answer sheet. Mark only one choice; darken the circle completely (you should not be able to see the letter after you have darkened the circle). Check frequently to be sure the problem number on the test sheet is the same as the problem number of the answer sheet. The use of a calculator, cell phone, or any other.

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Related Questions

Lines that form right angles at their point of intersection. A five-sided polygon. A round figure whose surface is at all points equidistant from the center. A geometric figure having three line segments for sides. A quadrilateral where each angle is a right angle. An equilateral parallelogram. The distance around a geometric figure. A segment with end points on the circle. A chord of a circle that contains the center of a circle. A segment joining the center of a circle to a point of the circle. Algebra A extremes B. graph C. numerical order D. range E ranking F. variable G. exponent H algebra A letter that is used in place of a numeral. The branch of mathematics that uses letters, called variables, in places of numerals. The n in X" indicating the number of factors of X. Data in order from smallest to largest or vice-versa. A pictorial representation of data. The two outer terms of a proportion. The difference between the greatest and least numbers in a list of data. Data organized in ascending or descending order. Practical Test Solve each problem below. You may use a piece of scratch paper to work your problems. You do not have to turn in your work sheet. Write only the answer in the space provided for each question. Write the number for six million, four hundred thousand, nine hundred twenty seven. _____________________________________ Robert bought a used automobile for $1, 500.00. If the sales tax is 5%, what will be the total that Robert had to pay for the automobile? __________________ Solve 2/3 + 4/6 ______________ What is the perimeter of a triangle which sides measure 6, 8, and 10 inches? _________________ What would be the radius of a circle with a diameter of 8 inches? _________________ Solve 2x + 3 = 9, x= ____________ What is the area of a rectangle with a width of 12 feet and a length of 10 feet? ____________ Using the fraction 4/6, which number is the denominator? _____________ What percent of one U.S. dollar is $.25? ____________ Tom, Bill, Susan, and Sandy went bowling. Tom's score was 132, Bill's score was 140, Susan's scored 145 and sandy's score was 128. What was the average score of all four bowlers? __________ A dress that sells for $50.00 now has a 10% discount marked on the tag. How much will you save off the regular price of the dress? ____________ Sam bought a pair of socks for $2.95 and a tie for $7.50. He gave the cashier a twenty dollar bill. How much change should Sam receive from the cashier? _____________ A cube measures 3 inches on all of it's sides. What is the volume of the cube in inches? ______________ Canned corn is on sale at the grocery store, three cans for a dollar. Another brand is only $.30 per can, which is the better buy? ____________ Your paycheck each week is $500.00. If you want to save $2,000.00 dollars in one year, how much should you set aside from your paycheck each week? _______________

Problem 3

Math 151 - Sections 34, 35, 36 - Workshop 11 This workshop deals with an addition formula in section 5.1. This formula is related to an ld story about the great mathematician Gauss. Here is one version of the story Wh en Gauss was ten years old, he attended a certain math class with other kids. One fine day, the math teacher discovered that he was running out of time to grade the latest batch of math homeworks. This is why he decided to finish the grading during his math lecture period. To keep the students busy while he graded, he gave them the following task at the start of the period: Use your slate (the small personal blackboard that every student had in class) to add up the numbers 1,2,3,... , 100 Seconds after the teacher gave this in-class assignment, little Gauss pointed to his slate and yelled "Here is the answer." Then Gauss did nothing for an hour, while the other students labored with the additions and the teacher graded. At the end of the period Gauss showed the correct answer 5050 on his slate. Only Gauss got the correct answer Then Gauss told everybody that the sum 1+2+3+ + 100 is ( 1 + 100) + (2+99)+ (2+98)+--+ (50+51) = 101 + 101 + 101 +. . . +10 101. 50-5050 Problem 1. Explain carefully what Gauss had done. Include the reason why it is impor tant that 100 happens to be Problem 2. Let N be an even positive integer. Use the method of Problem 1 to prov the formula 1 +2+3+.+N) be an even number Problem 3. The formula is still valid when N is an odd integer. Prove this, using a variation on the argument given by Gauss The story continues: Gauss then gave the class a lecture on how his method could be used to sum an arithmeric series (a+1.b) + (a+2 b) + (a+3.b)+. + (a + N b), where a and b are constants Problem 4. Find a formula for the sum (a+1.b)+(a+2.b)+ (a +3.b)+(a+ N b) Prove this formula the way Gauss would have done it. You have to do the case when N is even and the case when N is odd Now let us consider a fictional alternate history where Gauss had not thought of this ve clever trick. We can imagine the ten year old Gauss going home and doing the sequential computations 1+2 1+2+3 1+2+3+4 1+2+3+4+5 and so forth, just to see if he could find a pattern in the sequence of answers. He would have discovered somethin like this: once he had the sum 1+2+3++N, he could simply add N+1 to that sum, and that would give him the sum 1+2+3 Now assume that, by trial and error, Gauss discovered that the formula 1+2+3+ +N an even numbe +) Include the reason why it is important that +Â·Â·Â· + (N +1) very quickly is true for several values of N. How could he prove that the formula is really true for ALL N? The insight described in the previous paragraph might have led Gauss to think the following: All he had to do was prove N(N+1) Â± (N + 1) other words, he only needed to show: Formula for 1 + 2+3+.+ N plus N +1 equals formula for 1+2+3+(N+1). He would have discovered the principle of mathematical induction Problem 5. Prove of the formula for 1+2 +3+... + N (N +1)(+1X++1) Show how this leads to a proof N(N+1 N+)