Final Exam Answer Sheet

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School

University of Maryland Global Campus (UMGC) *

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Course

108

Subject

Mathematics

Date

Jan 9, 2024

Type

pdf

Pages

6

Uploaded by DrAlpaca3479

1 MATH 108 Final Exam Answer Sheet This exam is worth 240 points. Questions 1 - 20 are each worth 5 points; do not show your work. Questions 21 27 are each worth 20 points; show your work to earn full credit. Write answers on the appropriate numbered blank. For questions 21 27 you can insert additional lines or delete lines as needed. See rubric for grading details. Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form. Round decimals to hundredths unless otherwise directed to round. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators. Applied problems should have the variables identified (Let x =), an equation, and the units (degree, inches, $, etc.) for full credit. Do not post the exam in the assignment folder. Post only your Answer Sheet in the assignment folder. Questions 1 10: Fill-in-the-blank, do not show work. Questions 11 20: Multiple choice, select the letter of the one alternative that best completes the statement or answers the question. Check that the answers are all letters (A, B, C, D, or E) and not a value, do not show work. 1.) 𝐴 = 66.95° , 𝐶 = 53.05° , c=14.76km 11.) E 2.) 𝑎 52 = 94 12.) C 3.) √6 −√2 4 13.) E 4.) 120/119 14.) A 5.) ___________________ 15.) C 6.) 𝜋/2 16.) C 7.) 15.07° 17.) D 8.) 45 18.) E 9.) = 161 19.) B 10.) ? = −4(? − 1) 2 + 7 20.) B
2 SHORT ANSWER. Show your detailed work. The following questions are each worth 20 points. Applied problems that have the variable(s) identified (Let x =) will earn +1 point. Final exam grade cannot exceed 240 points. 21.) Verify: 22.) answer: __________ Show work and post graph here: Vertex : (1,7) Directrix: y=113/16 23.) answer: __________ Show work and post graph here:
3 24.) answer: (19.98, 18.92, 14.52) Show work here: Data: Birthday gifts for mothers form their children under 15 years old are: Flowers, jewelry, gift cards = total of the average amount spent on these gifts $53.42 The average amount spent on jewelry is $4.40 more than the average amount spent on gift cards. The average amount spent on flowers and gift cards is $15.58 more than the average amount spent on jewelry. What we are looking for: What is the average amount spent on each type of gift? Flowers ? Jewelry ? Gift cards ? Let x = flowers, y = jewelry, and z = gift cards We get: Flowers, jewelry, gift cards = total of the average amount spent on these gifts $53.42 X+ y + z =53.42 The average amount spent on jewelry is $4.40 more than the average amount spent on gift cards. Y= z + 4.40 The average amount spent on flowers and gift cards is $15.58 more than the average amount spent on jewelry. X + z= y +15.58 Now we have the system: { ? + ? + ? = 53.42 ? = ? + 4.40 ? + ? = ? + 15.58 Let s start by reordering the system of equations.
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