Duplicate of Academic Bowl Practice Quiz 2017 #4

Question 1

The Coliseum is an ellipse with maj axis 620 ft & min axis 513 ft. Find the dist. between foci

Accepted Answer

348.2 ft

Question 2

Which of the following could be the correct number of zeros for P(x) = 3x6 + 4x5 + 3x3 - x - 3

Accepted Answer

1 positive zero and 1 negative zero

Question 3

Which mathematician developed the least squares method?

Accepted Answer

Fourier

Question 4

Which of the following would not be a possible number of zeros for P(x) = x3 - x2 - x - 3

Accepted Answer

2 positive and 2 negative zeros

Question 5

Find the least squres line for the following data points (1, 3), (2, 5), (3, 6), (5, 6) (7,9)

Accepted Answer

y= 0.845x + 2.759

Question 6

Expand (x2 + 3)6

Accepted Answer

x12 + 18x10 + 135x8 + 540x6 + 1215x4 + 1458x2 + 729

Question 7

Use the picture

Accepted Answer

y = -.0215(x - 42)2 + 63

Question 8

Determine the equation of a line tangent to the parabola y = x2 + 4x + 7 at its vertex

Accepted Answer

y = 3

Question 9

You have a doctor's appointment at 1:00 in the afternoon. What time is this in decimal time?

Accepted Answer

5:42

Question 10

The equation 4x2 + 8x - 6y + 4 = y2

Accepted Answer

hyperbola

Question 11

The equation 2x2 - 4x + 4y2 + 12y = 0 is classified as a(n)

Accepted Answer

ellipse

Question 12

Find the next three terms of the geometric sequence 243, -81, 27, ...

Accepted Answer

-9, 3, -1

Question 13

School starts at 7:02 in the morning. What is the equivalent time in the French decimal time?

Accepted Answer

2:93

Question 14

The equation 2y2 = -2x2 + 8x - 12y - 2 is classfied as a(n)

Accepted Answer

circle

Question 15

The vertices of the hyperbola x2 - 4y2 + 2x + 8y - 7 = 0 are

Accepted Answer

(-3, 1) and (1, 1)

Question 16

Find the center and length of the major axis of the ellipse x2 + 9y2 + 2x - 18y + 1 = 0.

Accepted Answer

(-1, 1); 6

Question 17

Who became famous for his theory regarding the beginnings of the solar system?

Accepted Answer

Laplace

Question 18

Whose most important work was in probability?

Accepted Answer

Condorcet

Question 19

Find the volume of the regular tetrahedron that has a side length of 4.

Accepted Answer

7.54

Question 20

Who advocated for the social utility of statistics and probability theory?

Accepted Answer

Condorcet

Question 21

What mathematician had sixteen concepts and theorems named after him?

Accepted Answer

Cauchy

Question 22

Find the point on the graph of (y+1)2 = -7(x-4) that is closest to the focus of the parabola.

Accepted Answer

(-7/2, 0)

Question 23

If the eccentricity of a conic is greater than 1, what is the conic?

Accepted Answer

hyperbola

Question 24

If the density of propanol is 0.828 g/mL and a sample has 14.5 g, then what's the volume?

Accepted Answer

17.5 mL

Question 25

Use the picture.

Accepted Answer

y = -.0256(x - 12.5)2 + 12

Question 26

The vertex of the parabola y2 - 6y - 6x + 21 = 0 is

Accepted Answer

(2, 3)

Question 27

The foci of the the ellipse 9(x-1)2 + 16(y-3)2 = 144 are

Accepted Answer

(1, 6) and (1, 0), (1±√7, 3)

Question 28

Who was one of Napoleon Bonaparte's teachers?

Accepted Answer

Laplace

Question 29

The equation 4x2 - 9x + y -5 = 0 is classified as a(n)

Accepted Answer

parabola

Question 30

Find the center and radius of the following circle: x2 - 12x + y2 + 10y = -25

Accepted Answer

(6, -5) r = 6

Duplicate of Academic Bowl Practice Quiz 2017 #4

Questions 30

Duplicate of Academic Bowl Practice Quiz 2017 #4

Questions 30