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Question 15 questions

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1. Which of the following are solutions to the quadratic equation

  • A.
  • B.
  • C.
  • D.

2. If the slope of a line is and a point on the line is (2, –1), which of the following is the y-intercept of the line?

  • A. -6
  • B.
  • C. 4
  • D. 6

3. The Consumer Price Index (CPI) is a weighted average of the cost of certain categories of goods and services in the United States. It is one of the most widely used measures of inflation. According to the U.S. Census Bureau, the CPI was 130.7 in 1990 and was 218.1 in 2010. If the CPI continues to experience the same percent increase over the next 20 years, approximately what will the CPI be in 2030?

  • A. 145.8
  • B. 305.5
  • C. 363.9
  • D. 408.7

4. Given the function what domain value corresponds to a range value of

  • A.
  • B.
  • C.
  • D.

5.

When a spring is pressed tightly between two objects, it remains still. When one or both of those objects is disturbed, the spring starts to move. The equation above can be used to find the time period T in which a mass m, attached to a spring, makes a single oscillation (going all the way down and then back up). The variable k is a constant. Which of the following equations could be used to find the mass of the object?

  • A.
  • B.
  • C.
  • D.

6. An educational polling company wants to determine whether parents of high school-age children believe using an electronic tablet in the classroom will improve student learning. To do this, the company conducted a survey by sending 50,000 text messages across the entire United States to randomly selected phones with text-messaging capabilities. For every text that the company sent, it received a response to the survey. Which of the following best explains why this random sample is unlikely to be a good representative sample of parents' opinions on the use of tablets in the classroom?

  • A. Most parents don't care about this issue, and their attitude is likely to skew the results.
  • B. Surveys conducted via text messaging are illegal and therefore are not considered reliable.
  • C. There is no way to verify whether the responders to the survey were parents of high school age-children.
  • D. The survey was biased because parents who own a cell phone probably also have a tablet and would want their children to learn how to use it.

7. A company that makes shoelaces has two machines, both of which run 24 hours a day. The first machine can produce 36,000 shoelaces per day. The second machine can produce 28,800 shoelaces per day. How many more shoelaces can the first machine make than the second machine in 8 minutes?

  • A. 5
  • B. 40
  • C. 160
  • D. 200

8.

Tetanus is an infection of the body's nervous system. It is usually contracted by cutting oneself on a rusty metal object. In 2002, Country A started requiring students to have tetanus shots before entering public school. That same year, Country B started providing the vaccine free of charge to school-age children but has not required that they get it. The graph above shows the incidence rate of tetanus in these two countries starting in 2002. Which of the following statements is true?

  • A. Country A's vaccine requirement had a greater impact on the incidence rate than did Country B's free vaccines.
  • B. Country B's free vaccines had a greater impact on the incidence rate than did Country A's vaccine requirement.
  • C. Country A's vaccine requirement had about the same impact on the incidence rate as did Country B's free vaccines.
  • D. Because the countries started with different incidence rates, it is impossible to determine which country's actions had a greater impact.

9. A college professor with several hundred students has office hours between classes to provide extra help when needed. His classes on Monday are from 9:00 AM to 10:45 AM and 2:30 PM to 3:45 PM. It takes him 5 minutes to walk from the classroom to his office, and he takes a lunch break from 12:00 PM to 1:00 PM. On a particular Monday, he plans to grade tests, which have all multiple-choice questions. If each test consists of 50 questions and it takes him 4 seconds to mark each question right or wrong, how many complete tests can he mark during his office hours if no students come for help? Assume that he does not take the time to add up the scores until after his afternoon class.

  • A. 46
  • B. 47
  • C. 54
  • D. 55

10. An optician charges $125 for an eye examination, frames, and clear glass lenses, but $197 for an eye examination, frames, and tinted glass lenses. If the tinted lenses cost three times as much as the clear lenses, how much do the clear glass lenses cost?

  • A. $24
  • B. $36
  • C. $48
  • D. $72
Registered to Vote? 1 2 3 4 5 Total
Yes 112 104 228 487 163 1,094
No 28 76 48 158 54 364
Total 140 180 276 645 217 1,458

11. An incumbent state senator (currently in office and running for an additional term) conducts a survey to see how favorably the people in her district view her. In the survey, responses of 1 or 2 represent an unfavorable view, a response of 3 is a neutral view, and responses of 4 or 5 are favorable. The results of the survey are recorded in the table. If one registered voter is chosen at random to attend a town hall meeting, what is the probability that the voter does not view the senator unfavorably?

  • A. 40.6%
  • B. 59.4%
  • C. 78.1%
  • D. 80.3%

12.

Higher-quality tennis balls are typically packaged in cylindrical cans, as shown above, which are pressurized with air to keep them fresh. If the can and the tennis balls have the same diameter, 2.6 inches, what is the volume in cubic inches of the air inside the can around the tennis balls? Assume that each tennis ball is tangent to the next and that the top and bottom tennis balls are tangent to the top and bottom of the can.

  • A. 4.4π
  • B. 8.1π
  • C. 10.3π
  • D. 29.3π

13. If h is a rational number such that –1 < h < 0, which of the following could be the graph of the equation y = hy + hx + x – 4?

  • A.
  • B.
  • C.
  • D.

14. A scientist weighed a 1.0 cubic foot piece of granite and found that it weighed 168 pounds. The average density of Earth's inner core is approximately 12.8 g/cm3. How much denser, in g/cm3, is Earth's inner core than the piece of granite? Use any of the following conversions:

12 inches = 1 foot

16 ounces = 1 pound

1 inch = 2.54 cm

1 ounce = 28.35 grams

  • A. 2.7
  • B. 10.1
  • C. 15.55
  • D. 28.35

15.

In electronic circuits, resistors are often paired to manage the flow of the electrical current. To find the total resistance of a pair of parallel resistors, electricians use the formula shown above, where R1 is the resistance of the first resistor and R2 is the resistance of the second resistor. Which of the following is another way to represent this formula?

  • A.
  • B.
  • C.
  • D.