Given is the augmented matrix of a system of equations: 1 5 6 2 7 1 3 5 1 5 7 13 Write the new form of the augmented matrix after the following row operations. R1 r1 r3 , R2 r2 7r3 6. Four times the number of white marbles exceeded 9 times the number of red marbles by 10. The ratio of blue marbles to red marbles was 3 to 1. There is a total of 65 marbles of all 3 colors.
10. Jennifer is twice as old as Ramon. The sum of their ages 7 yrs ago was 13. How old are they now? Module 08 Exercise Answers Faculty Comments | # | Answer | Calculations | | 1 | x=-3 | y=-13x 3y=-5x-12y=-x33y=-5x-123(-x3)=-5x-12-x=-5x-12-x+5x=-12 4x=-12 4x4=-124x=-124x=-3 | | 2 | s=10r=-30 | r=-3s r+4s=10r=-3s (-3s)+4s=10 -3s+4s=10 s=10r=-3(10) s=10r=-30s=10
3. Final Exam (30%): There will be a 2-hour comprehensive final exam scheduled for 8/8. COURSE CONTENT: We will concentrate on the first five chapters of the book - omitting several sections but supplementing with topics from Calculus III, Linear Algebra, and Complex Numbers. Sections covered will be: Chapter 1: 1.1, 1.3-1.6, 1.8 Chapter 2: 2.1-2.3, 2.6-2.10, 2.13-2.15 Chapter 3: 3.0-3.2 Chapter 4: 4.1 & 4.2 Chapter 5: 5.1-5.7 Appendix: A3.2 (between 1.4 and 1.5) Chapter 6: 6.1, 6.2 (between 3.0 and 3.1) & 6.6 (between 2.10 and 2.13) Chapter 7: 7.1 (after 6.2) Chapter 12: 12.1 & 12.2 (between 2.2 and
When you add the values 3, 5, 8, 12, and 20 and then divide by the number of values, the result is 9.6. Which term best describes this value: average, mean, median, mode, or standard deviation? Answer: ____The term that describes 9.6 would be the mean, it is the sum of all the values divided by the total number of values______ 4. What is the range of the values 2.0, 3.7, 4.9, 5.0, 5.7, 6.7, 8.5, and 9.0? Answer: __9.0 – 2.0 = 7___________ What is the median?
Both of these formulas were found on page 225 in Mathematics in Our World (Bluman, 2005). Problem #37 • This sequence is geometric • Ending balance is $814.45 STEPS/CALCULTATIONS YOU PERFORMED TO REACH THE ANSWER: To find the ending balance, the formula of An = a1(rn-1) will be used. The initial balance is $500, the interest is 5%, and the time span is 10 years. 5% will be listed as 1.05 as the initial balance is 100% plus 5% interest, so 105% is written 1.05. The number of terms is n=10, the first term is a1=525, the common ratio is r = 1.05.
MAT 161 College Algebra Name___________________________________ Midterm Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial by grouping. 1) x2 + 7x + 4x + 28 A) (x - 7)(x - 4) 1) B) (x - 7)(x + 4) C) (x + 7)(x + 4) D) prime Find an equation for the line with the given properties. 2) Perpendicular to the line x = 6; containing the point (5, 2) A) x = 2 B) y = 2 C) y = 5 D) x = 5 2) List the intercepts for the graph of the equation.
1,054,848 c. 1,405,888 d. 1,045,828 5. Evaluate: 12xy, when x = 8 and y = 11. a. 31 b. 228 c. 1056 d. 188 6. Write
n −1 [ X100/201] Page two Marks ALL questions should be attempted. 1. y A 10 8 6 4 2 0 2 4 6 8 B 10 x Find the equation of the straight line AB shown in the diagram. 3 2. The pupils in a primary class record their shoe sizes as shown below. 8 5 7 8 (a) 7 7 8 6 6 11 7 5 5 7 9 9 6 7 6 7 Construct a frequency table from the above data and add a cumulative frequency column.
Adding the two cases above, we arrive at the answer: un = un−1 + un−2 . (c): Use either (a) or (b) to determine the number of bit strings of length 7 that do not contain two consecutive zeros. SOLUTION: We note directly that u1 = 2 and u2 = 3. Then u3 = 2 + 3 = 5, u4 = 3 + 5 = 8, u5 = 5 + 8 = 13, u6 = 8 + 13 = 21, and u7 = 13 + 21 = 34. Problem 3.
Year 7 Calculator Tests 2012 1. (a) Work out (i) 7 of £2.16 8 …………… (1) (ii) 32% of 55 metres. …………… (1) (b) Change 3 into: 8 (i) a decimal …………… (1) (ii) a percentage. …………… (1) (c) Express 48% as (i) a decimal …………… (1) (ii) a simplified fraction. …………… (1) 2.