**Question 1:**
Which of the following statements would be MOST important to include in a summary of the section "Man Of The People And The Arts"?
A. Hughes' work praised working-class, low-income families because of their work ethic.
B. Hughes established theater companies in both New York and Los Angeles because he loved drama and plays.
C. Hughes incorporated elements of jazz and blues into his work because they reflected African-Americans' experiences.
D. Hughes combined dialogue with poetry when writing his plays in order to make them sound more realistic.
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**Question 2:**
A loan payment of $1450 was due 45 days ago, and a payment of $1200 is due in 60 days. What single payment made 30 days from now is required to settle the two payments if interest is 16% per annum, and the agreed focal date is 30 days from now?
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**Question 3:**
Given: BF bisects ∠AFC and ∠CFD ≅ ∠BFC.
Prove: ∠AFB ≅ ∠CFD.
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**Question 4:**
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of 20.00 mpg and a standard deviation of 2.00.
(a) What is the standard error of X, the mean from a random sample of 36 fill-ups by one driver?
- Standard error of X is 0.3333.
(b) Within what interval would you expect the sample mean to fall, with 99 percent probability? (Round your answer to 4 decimal places.)
- The interval is from _____ to ______.
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**Question 5:**
A Ferris wheel is set up at the carnival. It has a diameter of 45 feet. What is the total circumference if the Ferris wheel makes 4 rotations around?
- Diameter: 45 feet
- Total Circumference: 563.2 feet
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**Question 6:**
Allison buys 108 bunches of carnations and 96 bunches of roses from the supplier. Let C represent the number of carnations in each bunch and R represent the number of roses in each bunch. Write an expression to show the total number of carnations and roses that Allison bought.
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**Question 7:**
Edgar the Elephant is in his Silverado (total mass = 4100 kilograms), cruising south at 20.0 m/s when he decides to accelerate uniformly at 4.0 m/s² to reach a speed of 40.0 m/s. What is Edgar's kinetic energy before he started accelerating? What is Edgar's kinetic energy after he has reached 40 m/s?
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**Question 8:**
The diaries of early polar explorers are full of tales of extreme boredom, depression, and desperate attempts at entertainment reminiscent of prisoners' stories from solitary confinement. Which is/are the action verb/s, and which one is the linking verb?
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**Question 9:**
U Challenge - Label the following places on the Lines of Latitude globe: Africa, Atlantic Ocean, Arctic Ocean, Asia, Europe, and the North Pole. Use an atlas or classroom globe to help you.
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**Question 10:**
Part A: The sun produces [tex]4.1 \times 10^{33}[/tex] ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in [tex]1.15 \times 10^5[/tex] seconds? Show your work.
Part B: Which is the more reasonable measurement of the diameter of a human hair: [tex]1.95 \times 10^{-2}[/tex] mm or [tex]1.95 \times 10^2[/tex] mm? Justify your answer.
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**Question 11:**
How has science and technology altered the way taxonomists and zoologists classify organisms?
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**Question 12:**
Jada sells ground paprika. Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed. What is the rate of change? What does it represent in the context of the problem?
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**Question 13:**
What is the mass of a truck if it is accelerating at a rate of [tex]6.1 \, \text{m/s}^2[/tex] and it hits a parked car with a force of [tex]15300 \, \text{newtons}[/tex]?
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**Question 14:**
Brian is considering 10 different colleges. Before he applies, he wants to visit some of them. In how many orders can he visit 6 of the colleges? Show work.
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**Question 15:**
Repeat a), b), and c) of task (1) for the following quadratic equations.
a) [tex]4x^2 + 4x - 1 = 0[/tex]
b) [tex]9x^2 - 6x + 1 = 0[/tex]
c) [tex]2x^2 + 5x + 11 = 0[/tex]
d) [tex]-3x^2 + 7x - 6 = 0[/tex]
