MAC 1147 Spring 2018

Transcription

1 MAC 47 Spring 208 EXAM 3D A. Sign and date your scantron on the back at the bottom. B. n pencil, write and encode in the spaces indicated on your scantron: ) Name (last name, first initial, middle initial) 2) UF D Number 3) Section Number C. Under "special codes" on your scantron, code in the test D number 3, D. At the top right of your scantron, for "Test Form Code", encode D. ABC. E E. ) There are eighteen 4-point multiple-choice questions and two 4-point free response questions, for a total of 80 points. 2) The time allowed is 90 minutes. 3) You may write on the test. 4) Raise your hand if you need more scratch paper or if you have a problem with your test. DO NOT LEAVE YOUR SEAT UNLESS YOU ARE FNSHED WTH THE TEST. F. KEEP YOUR SCANTRON COVERED AT ALL TMES. G. When you are finished: ) Before turning in your test, check for transcribing errors. Any mistakes you leave in are there to stay. 2) Take your test, scratch paper, and scantron to your TA. Be prepared to show your UF D card. 3) Answers will be posted in E-Learning after the exam. H. By taking this exam, you agree to the following Honor Pledge: " will neither give nor receive any unauthorized aid for this exam."

2 . MAC 47 - Spring EXAM 3D Questions -20 are worth 4 points each.. Evaluate. A. Va logab---r;3 B. -~-- C -~- 3 log, 2. 3b 2a D. 7 2 b3 E. _!_ ~ a/2 2. For CHM2045 lab, the teaching assistant needs a 2% acid solution for a demonstration. She can only find an 8% acid solution and a 5% acid solution. How many milliliters of the 5% acid solution need to be mixed with the 8% acid solution to obtain 00 ml of a 2% acid solution? A. 333 ml of the 5% acid solution B. 453 ml of the 5% acid solution C. 40~ ml of the 5% acid solution D. 52~ ml of the 5% acid solution E. 57~ ml of the 5% acid solution D

3 MAC 47 - Spring EXAM 3D 3. Which angles are coterminal with 60? P. 420 Q R. 240 A. ~ only D. Q and R only' B. P and Q only E. Q only C. P and R only 4. Rewrite as a single logarithm. 5 n z - 3ln y + 4ln x ;4 A. n53" z y D. Correct answer not given. Z5 E. n'43 xy 2D

4 MAC 47 - Spring EXAM 3D 5. Write as a single logarithm with base 2. 3log4 x + 5log2 Y A. log2(xy'xy5) D. log2(x2y'xy5) B. log2jxil E. log2(x3y5) 6. Find the amount after 5 years if $500 is invested at 3% compounded quarterly. A. A = $500(.0075)5 D. A = $500(.0025)20 B. A = $500(.005)20 E. A = $500(.0075)20 C. A = $500(.005)5 3D

5 " MAC 47 - Spring EXAM 3D 7. A radioactive isotope used in the diagnosis of malignant tumors has a biological halflife of 3 hours. f we start with 00 milligrams of the isotope, how much is left after 2 hours. A. 4"3 mg B. 22 mg C.3mg D. 82 mg ; 8. Solve: A. x = 2,5 only D. x = -,2 only B. x = 5 only c. x = 2 only E. x = -4,5 only 4D

6 MAC 4 - Spring 208- EXAM 3D 9. Suppose you invest $200 in a savings account that pays 2.5% interest, compounded continuously. How long does it take to double the amount invested? ln2 ln2 ln2 A. 200 years B. 5 years c years 2 D. Se2.5 years E. 20e2 years 0. Solve the equations. ( )Y-2 - = 25 5 Find x +y+ z. A. 7 3 B 9. 3 c. 9 3 D E D

7 MAC 47 - Spring EXAM 3D. Solve the inequality. x+>2 x+3- A. (~oo, -5] U (-3,00) D. (-00,,-5] B. (-00, -3) U[-,00) E. [-5, -3) c. (-3,00) 2. A ball is thrown vertically upward with an initial velocity of 2 feet per second. The distance s (in feet) of the ball from the ground after t seconds is given by set) - -6t2 + 2t. For what time is the ball more than 96 feet above the ground? A. 3 < t < 6 seconds B. < t < 3 seconds c. 2 < t < 6 seconds D. 2 < t < 3 seconds E. < t < 6 seconds 60

8 MAC 47 - Spring EXAM 3D.f' 3. Solve for x. 0-3ex = A. x = n6 only D. x = n4 only B. x = n3 only E. x = n 4, n 6 only c. x = n2 only 4. Evaluate and choose the best solution. Tip: Estimate. log25 A.8 B. 7 c. 6 D.4 E. 5 7D

9 MAC 47 - Spring EXAM 3D, ~ 5. Which statements are true? P. log648 = 2 2 Q. log324 = 5" A. Q and R only D. R only B. P and Q only E. P only G. Q only 6. Solve for x. B. x = log25 E. x = log2o 80

10 MAC 47 - Spring EXAM 3D 7. Which angles lie in quadrant V? P. 5f Q. 4 R 7f. 6 f 2 - A. P and R only D. P and Q only B. Q and R only E. P only c. P, Q, and R 8. Find the solutions to the system of equations. (x + 2)2 + (y - )2 = 4 x+=y What is the sum of the coordinates of ALL the solutions? A. -2 B. -4 c. 2 D.4 E. 3 9D

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