AnswersMA-PrecalculusCumulative Exam

Cumulative Exam — Cumulative exam Answers

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The diagram below shows vector v. Given transformation matrix , which diagram shows the application of T to v?

Question illustration
A
mc005-3.jpg
Option A
B
mc005-4.jpg
Option B
C
mc005-5.jpg
Option C
D
mc005-6.jpg
Option D
42
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Answer not available
43

What is the determinant of ?

Question illustration
A
20
B
40
C
60
D
80
44

Let v =. What is the approximate direction angle of v?

Question illustration
A
7°
B
83°
C
173°
D
353°
45

A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units. The cone has a diameter of 9 and a height of 12. The pyramid and cone have the same height.

Question illustration
A
519π units3
B
681π units3
C
(600π – 81) units3
D
(600 – 81π) units3
46

Consider the system of linear equations and the matrix equations below. What is the value of x in the equation?

Question illustration
A
-36
B
3
C
7
D
64
47

Matrices C and D are shown below. What values of a and b will make the equation CD = I true?

Question illustration
A
mc019-3.jpg
Option A
B
mc019-4.jpg
Option B
C
mc019-5.jpg
Option C
D
mc019-6.jpg
Option D
48

Points H and F lie on circle C.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
49

Which graph represents the solution to the system of inequalities?

Question illustration
A
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and circle is shaded.
Option A
B
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and outside of the circle is shaded.
Option B
C
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and circle is shaded.
Option C
D
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and outside of the circle is shaded.
Option D
50

A circular pool has a footpath around the circumference. The equation x2 + y2 = 2,500, with units in feet, models the outside edge of the pool. The equation x2 + y2 = 3,422.25, with units in feet, models the outside edge of the footpath. What is the width of the footpath?

A
8.5 ft
B
17 ft
C
30 ft
D
58.5 ft

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