Question: A plane slices a double-napped cone parallel to the slanted edge of the cone. Which conic section is formed? (2 points) a Circle b Ellipse

A plane slices a double-napped cone parallel to the slanted edge of the cone. Which conic section is formed? (2 points)

a

Circle

b

Ellipse

c

Hyperbola

d

Parabola

Question 2(2 points)

(03.02 MC)

An inground sprinkler nozzle sprays water onto the grass in the shape of a circle, with the nozzle at the center of the circle. On a coordinate plane, the nozzle is located at (0, 10) and the points (0, 25) and (0, 5) lie on the circle. Which equation represents the boundary that the sprinkler covers? (2 points)

a

(x 10)2+y2= 225

b

(x 10)2+y2= 625

c

x2+ (y 10)2= 225

d

x2+ (y 10)2= 625

Question 3(2 points)

(03.02 LC)

Which of the following graphs represents (x 2)2+ (y + 4)2= 25? (2 points)

a

b

c

d

Question 4(2 points)

(03.03 LC)

Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at (6, 11), andp= 5? (2 points)

a

(x 11)2= 20(y+ 6)

b

(x+ 11)2= 20(y 6)

c

(y 11)2= 20(x+ 6)

d

(y+ 11)2= 20(x 6)

Question 5(2 points)

(03.03 LC)

Which of the following graphs represents (x 1)2= 8(y 3)? (2 points)

a

b

c

d

Question 6(2 points)

(03.05 MC)

An elliptical mirror measures 12 inches wide and 10 inches high. The ellipse is centered at (0, 48) on a coordinate plane, where units are in inches. Which equation represents the mirror? (2 points)

a

b

c

d

Question 7(2 points)

(03.05 LC)

Which of the following graphs represents(2 points)

a

b

c

d

Question 8(2 points)

(03.06 MC)

The hyperbolic orbit of a comet is represented on a coordinate plane with center at (0, 6). One branch has a vertex at (0, 14) and its respective focus at (0, 16). Which equation represents the comet's orbit? (2 points)

a

b

c

d

Question 9(2 points)

(03.07 MC)

An elliptical-shaped path surrounds a garden, modeled bywhere all measurements are in feet. What is the maximum distance between any two persons on the path, and what key feature does this represent? (2 points)

a

169 feet; minor axis

b

34 feet; major axis

c

17 feet; major axis

d

13 feet; minor axis

Question 10(2 points)

(03.07 MC)

A vase can be modeled usingand the x-axis, for 0 y 20, where the measurements are in inches. Using the graph, what is the distance across the base of the vase, and how does it relate to the hyperbola? Round the answer to the hundredths place. (2 points)

a

2.5 inches; length of the transverse axis

b

2.83 inches; distance between the intercepts

c

5 inches; length of the transverse axis

d

5.66 inches; distance between the x-intercepts

Question 11(2 points)

(04.01 LC)

Which of the following statements proves the series 162 108 + 72 48 + ... is geometric? (2 points)

a

b

c

d

Question 12(2 points)

(04.02 MC)

What is the explicit equation for thenth term of the arithmetic sequence 6.3, 3.6, 0.9, 1.8, 4.5, ...? (2 points)

a

an= 6.3 2.7n

b

an= 6.3 2.7(n 1)

c

an= 6.3 + 2.7n

d

an= 6.3 + 2.7(n+ 1)

Question 13(2 points)

(04.02 MC)

A jet plane has 160,000 pounds of fuel after the first hour of flight. The four engines consume a total of 14,000 pounds per hour at its cruising altitude. How many pounds of fuel remain after the 9th hour? (2 points)

a

126,000 pounds

b

272,000 pounds

c

34,000 pounds

d

48,000 pounds

Question 14(2 points)

(04.03 MC)

Which of the following equations describes thenth term for the sequence(2 points)

a

b

c

d

Question 15(2 points)

(04.03 MC)

A ball bounces to a height of 6.7 feet on the first bounce. Each subsequent bounce reaches a height that is 81% of the previous bounce. What is the height, in feet, of the sixth bounce? Round your answer to the thousandths place. (2 points)

a

1.892 ft

b

2.336 ft

c

2.650 ft

d

5.427 ft

Question 16(2 points)

(04.04 MC)

A concert hall has 12 seats in the first row, 14 seats in the second row, 16 seats in the third row, and so on. If the pattern continues, how many seats are in the first 12 rows? (2 points)

a

340 seats

b

276 seats

c

168 seats

d

144 seats

Question 17(2 points)

(04.04 MC)

What is the 8th partial sum of 10,000 2,000 + 400 80 + ...? Round your answer to the thousandths place. (2 points)

a

12,499.970

b

9,999.974

c

8,333.333

d

8,333.312

Question 18(2 points)

(04.05 MC)

A construction worker is pouring concrete stairs. The first step requires 1.8 cubic feet of concrete, and the first 5 steps require a total of 27 cubic feet. If the steps follow an arithmetic series, how much concrete is required for the first 12 steps? (2 points)

a

259.2 cubic feet

b

43.2 cubic feet

c

156 cubic feet

d

140.4 cubic feet

Question 19(2 points)

(04.05 MC)

Assuming the pattern continues, what is the recursive formula forf(n) for the sequence(2 points)

a

b

c

d

Question 20(2 points)

(04.05 MC)

During the first year with a company, Finley was paid an annual salary of $59,000, with an 8% raise for each following year. Which equation represents Finley's annual salary,f(n), during thenth year? (2 points)

a

f(n) = 59,000(1.08n 1)

b

f(n) = 59,000(0.08n 1)

c

f(n) = 59,000(1.08n)

d

f(n) = 59,000(0.92n)

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