1. The kinetic energy, KE, of an object travelling at v velocity can be modeled by the equation KE = mv2, where m is the mass of the object. If an object is moving at a velocity of 9, and it has a kinetic energy of 120, about how great is the object's mass?
2. Let x, y, and z be distinct positive integers. What is the fourth term of the geometric sequence below?
2xz, 2x2yz, 2x3y2z,â¦
3. A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
What fraction of the critics gave the book a one-star review?
4. A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
The group that took the survey wants to show the data in a circle graph (pie chart). What should be the measure of the central angle of the portion for one-star reviews?
5. A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
To the nearest hundredth, what is the average star review for the 30 reviews?
6. For all x > 8, = ?
7. A rock band, The Young Sohcahtoans, is trying to design a t-shirt logo. The measurements they have chosen are represented on the figure below. The angle to the right of the logo "TYS" has a degree measure of 35°, and the side of the figure has a measure of 10 in. Which of the following expressions gives the measure, in inches, of the diagonal top side of the figure?
8. The endpoints of the diameter of a circle O are A and C. In the standard (x,y) coordinate plane, A is at (4,3) and C is at (-9,-2). What is the y-coordinate of the center of the circle?
9. On a sonar map in the standard (x,y) coordinate plane, the Yellow Submarine and the Sandwich Submarine are located at the points (-7,4) and (-2,6), respectively. Each unit on the map represents an actual distance of 5 nautical miles. Which of the following is closest to the distance, in nautical miles, between the two submarines?
10. All of the following statements about rational and/or irrational numbers must be true EXCEPT:
11. For the imaginary number i, which of the following is a possible value of in if n is an integer less than 5?
12. The table below gives the values of f(x) for selected values of x in the function f(x) = (x + 4)2 - 1, where x and y are both real numbers.
For the equation above, which of the following values of x gives the greatest value of f(x)?
13. The volume of the right circular cylinder shown below is 64Ï cubic inches. If its height is 4 in., what is its radius in., what is its radius in inches?
14. Line segments , , and are parallel and intersect line segments and as shown in the figure below. The ratio of the perimeter of ÎFJK to the perimeter of ÎFLM is 3:5, and the ratio of to is 1:5. What is the ratio of to ?
15. Avi is trying to draw a map of his most recent bike ride. He chose to place Market Street on the x-axis and Broad Street on the y-axis. He rode 60 m at an angle of 60° relative to Market Street, then rode 100 m at an angle of 45° relative to Market Street, and finally rode 35 m directly north on Broad Street. How many meters north of Market Street did Avi ride?