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Multiple Choice: Type your answer choice in the blank. _____1. Simplify. A. B. C. D. _____2. Find a quadratic function to model the values in the table. Predict the value of y for x = 6. X y 1 2 0 -2 3 10 A. y = -2x 2 + 2x -2; –58 B. y = 2x 2 – 2x -2; 60 C. y = 2x 2 – 2x -2; 58 D. y = -2x 2 + 2x +2; –58 ______3. A manufacturer of shipping boxes has a box shaped like a cube. The side length is 5a + 4b . What is the volume of the box in terms of a and b ? _____4. In how many ways can 3 singers be selected from 5 who came to an audition? A. 1 B. 10 C. 5 D. 60 _____5. Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. Short Answer: Type your answer in the space below each question. Show your work when applicable. 6. The velocity of sound in air is given by the equation , where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree. 7. The volume in cubic feet of a box can be expressed as , or as the product of three linear factors with integer coefficients. The width of the box is 2 – x . Factor the polynomial to find linear expressions for the height and the width. 8. This table shows data on heating oil use for two years in three adjacent buildings on Spring Street. Heating Oil Use Number of Gallons Used Address 2002 2003 152 Spring St. 1215 1093 154 Spring St. 982 975 156 Spring St. 1562 1437 a. Write a matrix H to represent the data. b. Find element . What does this element represent? 9. Solve the equation. Check for extraneous solutions. Type your answers in the blanks. x = ______ or ______ Multiple Choice: Type your answer choice in the blank. _____10. Assign each letter and a blank space to a number as shown by the alphabet table below: 0 = _ 1 = A 2 = B 3 = C 4 = D 5 = E 6 = F 7 = G 8 = H 9 = I 10 = J 11 = K 12 = L 13 = M 14 = N 15 = O 16 = P 17 = Q 18 = R 19 = S 20 = T 21 = U 22 = V 23 = W 24 = X 25 = Y 26 = Z Use to encode the phrase “FIT AS A FIDDLE”. A. B. C. D. _____11. A gem store sells beads made of amber and quartz. For 4 amber beads and 4 quartz beads, the cost is $46.00. For 1 amber bead and 3 quartz beads, the cost is $14.50. Find the price of each type of bead. A. amber $10.00, quartz $1.50 B. amber $9.75, quartz $1.25 C. amber $10.25, quartz $1.75 D. amber $1.50, quartz $10.00 12. In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again. Time (hours) 0 1 2 3 4 5 6 Population (1000s) 5.1 3.03 1.72 1.17 1.38 2.35 4.08 a. Find a quadra.
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BetterPie Industries has 3 million shares of common stock outstand.docx
BetterPie Industries has 3 million shares of common stock outstanding, 2 million shares of preferred stock outstanding, and 10,000 bonds. Assume the common shares are selling for $48 per share, the preferred shares are selling for $25.50 per share, and the bonds are selling for 99 percent of par.
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Equity weight
%
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Debt weight
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Algebra 2 Midterm Exam
1
Score: ______ / ______
Name: _________________________
Student Number: ________________
Multiple Choice: Type your answer choice in the blank.
_____1.
Simplify.
√
√
A. √
B. √
C. √
D. √
_____2. Find a quadratic function to model the values in the table. Predict the value
of y for x = 6.
X y
1 2
0 -2
3 10
A. y = -2x2 + 2x -2; –58
B. y = 2x2 – 2x -2; 60
C. y = 2x2 – 2x -2; 58
D. y = -2x2 + 2x +2; –58
Algebra 2 Midterm Exam
2
______3. A manufacturer of shipping boxes has a box shaped like a cube. The side length
is 5a + 4b. What is the volume of the box in terms of a and b?
A.
B.
C.
D.
_____4. In how many ways can 3 singers be selected from 5 who came to an audition?
A. 1
B. 10
C. 5
D. 60
_____5. Solve the problem by writing an inequality. A club decides to sell T-shirts for
$12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts.
Write and solve an equation to find how many T-shirts the club needs to make
and sell in order to profit at least $100.
A. ( )
B.
C. ( )
D. ( )
Short Answer: Type your answer in the space below each question. Show your
work when applicable.
6. The velocity of sound in air is given by the equation √ , where v is
the velocity in meters per second and t is the temperature in degrees Celsius.
Find the temperature when the velocity is 329 meters per second by graphing
the equation. Round the answer to the nearest degree.
Algebra 2 Midterm Exam
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7. The volume in cubic feet of a box can be expressed as ( ) , or
as the product of three linear factors with integer coefficients. The width of the
box is 2 – x.
Factor the polynomial to find linear expressions for the height and the width.
8. This table shows data on heating oil use for two years in three adjacent
buildings on Spring Street.
Heating Oil Use
Number of Gallons Used
Address 2002 2003
152 Spring St. 1215 1093
154 Spring St. 982 975
156 Spring St. 1562 1437
a. Write a matrix H to represent the data.
b. Find element . What does this element represent?
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9.
So ...
Tenth class-state syllabus-model paper-em-ap-mathematics
Tenth class-state syllabus-model paper-em-ap-mathematics
Multiple Choice Type your answer choice in the blank next to each.docx
Multiple Choice:
Type your answer choice in the blank next to each question number.
_____1.
Find the indicated sum.
A. 2
B. 54
C. 46
D. -54
_____2.
Graph the ellipse and locate the foci.
A.
foci at (0,
6) and (0, -6)
C.
foci at (
, 0) and (-
, 0)
B.
foci at ( 5, 0) and (-5, 0)
D.
foci at (0,
5) and (0, -5)
_____3.
Solve the system by the substitution method.
2y - x = 5
x2 + y2 - 25 = 0
A.
B.
C. {( 5, 0), ( -5, 0), ( 3, 4)}
D. {( -5, 0), ( 3, 4)}
_____4.
Graph the function. Then use your graph to find the indicated limit.
f(x) = 5x - 3,
f(x)
A. 5
B. 25
C. 2
D. 22
_____5.
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
4x - y + 3z = 12
x + 4y + 6z = -32
5x + 3y + 9z = 20
A. {(8, -7, -2)}
B. {(-8, -7, 9)}
C.
∅
D. {(2, -7, -1)}
_____6.
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
x + y + z
= -5
x - y + 3z
= -1
4x + y + z = -2
A. {( 1, -4, -2)}
B. {( -2, 1, -4)}
C. {( 1, -2, -4)}
D. {( -2, -4, 1)}
_____7.
A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Graph an inequality that describes the situation. Let x represent the number of minutes running and y the number of minutes swimming. Because x and y must be positive, limit the graph to quadrant I only.
A.
C.
B.
D.
Short Answer Questions:
Type your answer below each question. Show your work.
8
A statement S
n
about the positive integers is given. Write statements S
1
, S
2
, and S
3
, and show that each of these statements is true.
S
n
: 1
2
+ 4
2
+ 7
2
+ . . . + (3n - 2)
2
=
9
A statement
S
n
about the positive integers is given. Write statements
S
k
and
S
k+1
, simplifying
S
k+1
completely.
S
n
: 1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + . . . +
n
(
n
+ 1) = [
n
(
n
+ 1)(
n
+ 2)]/3
10
Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, how many pounds of each blend should she make to maximize profits? What is the maximum profit?
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Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to sell at least 100 laser printers this month a.
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BetterPie Industries has 3 million shares of common stock outstanding, 2 million shares of preferred stock outstanding, and 10,000 bonds. Assume the common shares are selling for $48 per share, the preferred shares are selling for $25.50 per share, and the bonds are selling for 99 percent of par.
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Algebra 2 Midterm Exam
1
Score: ______ / ______
Name: _________________________
Student Number: ________________
Multiple Choice: Type your answer choice in the blank.
_____1.
Simplify.
√
√
A. √
B. √
C. √
D. √
_____2. Find a quadratic function to model the values in the table. Predict the value
of y for x = 6.
X y
1 2
0 -2
3 10
A. y = -2x2 + 2x -2; –58
B. y = 2x2 – 2x -2; 60
C. y = 2x2 – 2x -2; 58
D. y = -2x2 + 2x +2; –58
Algebra 2 Midterm Exam
2
______3. A manufacturer of shipping boxes has a box shaped like a cube. The side length
is 5a + 4b. What is the volume of the box in terms of a and b?
A.
B.
C.
D.
_____4. In how many ways can 3 singers be selected from 5 who came to an audition?
A. 1
B. 10
C. 5
D. 60
_____5. Solve the problem by writing an inequality. A club decides to sell T-shirts for
$12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts.
Write and solve an equation to find how many T-shirts the club needs to make
and sell in order to profit at least $100.
A. ( )
B.
C. ( )
D. ( )
Short Answer: Type your answer in the space below each question. Show your
work when applicable.
6. The velocity of sound in air is given by the equation √ , where v is
the velocity in meters per second and t is the temperature in degrees Celsius.
Find the temperature when the velocity is 329 meters per second by graphing
the equation. Round the answer to the nearest degree.
Algebra 2 Midterm Exam
3
7. The volume in cubic feet of a box can be expressed as ( ) , or
as the product of three linear factors with integer coefficients. The width of the
box is 2 – x.
Factor the polynomial to find linear expressions for the height and the width.
8. This table shows data on heating oil use for two years in three adjacent
buildings on Spring Street.
Heating Oil Use
Number of Gallons Used
Address 2002 2003
152 Spring St. 1215 1093
154 Spring St. 982 975
156 Spring St. 1562 1437
a. Write a matrix H to represent the data.
b. Find element . What does this element represent?
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9.
So ...
Tenth class-state syllabus-model paper-em-ap-mathematics
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Multiple Choice Type your answer choice in the blank next to each.docx
Multiple Choice:
Type your answer choice in the blank next to each question number.
_____1.
Find the indicated sum.
A. 2
B. 54
C. 46
D. -54
_____2.
Graph the ellipse and locate the foci.
A.
foci at (0,
6) and (0, -6)
C.
foci at (
, 0) and (-
, 0)
B.
foci at ( 5, 0) and (-5, 0)
D.
foci at (0,
5) and (0, -5)
_____3.
Solve the system by the substitution method.
2y - x = 5
x2 + y2 - 25 = 0
A.
B.
C. {( 5, 0), ( -5, 0), ( 3, 4)}
D. {( -5, 0), ( 3, 4)}
_____4.
Graph the function. Then use your graph to find the indicated limit.
f(x) = 5x - 3,
f(x)
A. 5
B. 25
C. 2
D. 22
_____5.
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
4x - y + 3z = 12
x + 4y + 6z = -32
5x + 3y + 9z = 20
A. {(8, -7, -2)}
B. {(-8, -7, 9)}
C.
∅
D. {(2, -7, -1)}
_____6.
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
x + y + z
= -5
x - y + 3z
= -1
4x + y + z = -2
A. {( 1, -4, -2)}
B. {( -2, 1, -4)}
C. {( 1, -2, -4)}
D. {( -2, -4, 1)}
_____7.
A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Graph an inequality that describes the situation. Let x represent the number of minutes running and y the number of minutes swimming. Because x and y must be positive, limit the graph to quadrant I only.
A.
C.
B.
D.
Short Answer Questions:
Type your answer below each question. Show your work.
8
A statement S
n
about the positive integers is given. Write statements S
1
, S
2
, and S
3
, and show that each of these statements is true.
S
n
: 1
2
+ 4
2
+ 7
2
+ . . . + (3n - 2)
2
=
9
A statement
S
n
about the positive integers is given. Write statements
S
k
and
S
k+1
, simplifying
S
k+1
completely.
S
n
: 1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + . . . +
n
(
n
+ 1) = [
n
(
n
+ 1)(
n
+ 2)]/3
10
Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, how many pounds of each blend should she make to maximize profits? What is the maximum profit?
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Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to sell at least 100 laser printers this month a.
College Algebra MATH 107 Spring, 2015, V4.8 Page 1 of .docx
College Algebra MATH 107 Spring, 2015, V4.8
Page 1 of 11
MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be shown)
Problems #22–30 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function. 1. ______
A. Domain [0, 4]; Range [–1, 3]
B. Domain [–1, 3]; Range [0, 4]
C. Domain [–1, 0]; Range [1, 4]
D. Domain [–1, 1]; Range [1, 4]
2. Solve: 19 3 3x x− = − 2. ______
A. No solution
B. 8
C. −2, 5
D. −2
2 4 -4
-2
-4
2
4
-2
College Algebra MATH 107 Spring, 2015, V4.8
Page 2 of 11
3. Determine the interval(s) on which the function is increasing. 3. ______
A. ( ), 0.5−∞ − and (3, 6.5)
B. [– 2, 2]
C. (1, 5)
D. ( ), 1−∞ and ( )5, ∞
4. Determine whether the graph of 2xy += is symmetric with respect to the origin,
the x-axis, or the y-axis. 4. ______
A. symmetric with respect to the x-axis only
B. symmetric with respect to the y-axis only
C. symmetric with respect to the origin only
D. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and
not symmetric with respect to the origin
5. Solve, and express the answer in interval notation: | 7 – 3x | ≤ 11. 5. ______
A. [–4/3, 6]
B. (–∞, –4/3]
C. (–∞, –4/3] ∪ [6, ∞)
D. (–∞, 6] ∪ [–4/3, ∞)
College Algebra MATH 107 Spring, 2015, V4.8
Page 3 of 11
6. Which of the following represents the graph of 9x − 4y = 36 ? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2015, V4.8
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line x – 3y = 8 which passes through
the point (– 12, 7). 7. ______
A.
1
11
3
y x= +
B.
1
3
3
y x= − +
C. 3 29y x= − −
D.
1
7
3
y x= +
8. Which of the following best describes the graph? 8. ______
A. It is the graph of a function and it is one-to-one.
B. It is the graph of a function but not one-to-one.
C. It is not the graph of a function.
D. It is the graph of a parabolic relation.
College Algebra MATH 107 Spring, 2015, V4.8
Page 5 of 11
9. Express as an equivalent expression: log (x + 2) + log 1 – 3 log y 9. ______
A.
3
log( 2)
log
x
y
+
B. ( )log 3 3x y+ −
C.
3
2
log
x
y
+
D.
3
log
3
x
y
+
10. Which of the functions corresponds to the .
1 Week 2 Homework for MTH 125 Name_______________
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
1 Week 2 Homework for MTH 125 Name_______________
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
Algebra 2 Midterm ExamScore ______ ______ Name _________.docx
Algebra 2 Midterm Exam
Score: ______ / ______
Name: _________________________
Student Number: ________________
Multiple Choice: Type your answer choice in the blank.
_____1.
Simplify.
A.
B.
C.
D.
_____2.
Find a quadratic function to model the values in the table. Predict the value of y for x = 6.
X
y
1
2
0
-2
3
10
A. y = -2x2 + 2x -2; –58
B. y = 2x2 – 2x -2; 60
C. y = 2x2 – 2x -2; 58
D. y = -2x2 + 2x +2; –58
______3.
A manufacturer of shipping boxes has a box shaped like a cube. The side length is 5a + 4b. What is the volume of the box in terms of a and b?
A.
B.
C.
D.
_____4.
In how many ways can 3 singers be selected from 5 who came to an audition?
A. 1
B. 10
C. 5
D. 60
_____5.
Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100.
A.
B.
C.
D.
Short Answer: Type your answer in the space below each question. Show your work when applicable.
6.
The velocity of sound in air is given by the equation , where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree.
7.
The volume in cubic feet of a box can be expressed as , or as the product of three linear factors with integer coefficients. The width of the box is 2 – x.
Factor the polynomial to find linear expressions for the height and the width.
8.
This table shows data on heating oil use for two years in three adjacent buildings on Spring Street.
Heating Oil Use
Number of Gallons Used
Address
2002
2003
152 Spring St.
1215
1093
154 Spring St.
982
975
156 Spring St.
1562
1437
a.
Write a matrix H to represent the data.
b.
Find element . What does this element represent?
9.
Solve the equation. Check for extraneous solutions. Type your answers in the blanks.
x = ______ or ______
Multiple Choice: Type your answer choice in the blank.
_____10.
Assign each letter and a blank space to a number as shown by the alphabet table below:
0 = _
1 = A
2 = B
3 = C
4 = D
5 = E
6 = F
7 = G
8 = H
9 = I
10 = J
11 = K
12 = L
13 = M
14 = N
15 = O
16 = P
17 = Q
18 = R
19 = S
20 = T
21 = U
22 = V
23 = W
24 = X
25 = Y
26 = Z
Use to encode the phrase “FIT AS A FIDDLE”.
A.
B.
C.
D.
_____11.
A gem store sells beads made of amber and quartz. For 4 amber beads and 4 quartz beads, the cost is $46.00. For 1 amber bead and 3 quartz beads, the cost is $14.50. Find the price of each type of bead.
A. amber $10.00, quartz $1.50
B. amber $9.75, quartz $1.25
C. amber $10.25, quartz $1.75
D. amber $1.50, quartz $10.00
12.
In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warme.
3rd Semester Computer Science and Engineering (ACU) Question papers
3rd Semester Computer Science and Engineering (ACU) Question papersBGS Institute of Technology, Adichunchanagiri University (ACU)
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
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Math 107 Final ExaminationSummer, 20151
Math 107 College AlgebraName______________________________
Final Examination: Summer, 2015Instructor __________________________
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for each problem.
Problems #13-21 are short answer. Record your answer for each problem.
Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
.
Name _____________________Date___________________
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)
(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:
College Algebra MATH 107 Summer, 2015, V3.1
Page 1 of 11
MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be shown)
Problems #22–30 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise functi.
Mth10revsheets (1)
A Summary of Concepts Needed to be Successful in Mathematics
The following sheets list the key concepts that are taught in the specified math course. The sheets
present concepts in the order they are taught and give examples of their use.
WHY THESE SHEETS ARE USEFUL –
• To help refresh your memory on old math skills you may have forgotten.
• To prepare for math placement test.
• To help you decide which math course is best for you.
Math 2318 - Test 3In this test we will try something differe.docx
Math 2318 - Test 3
In this test we will try something different. The answers are provided, your job is to show the work in how to get that
solution. On problem 1 only A is a vector space. You will show why it is a vector space but you will also show why B
and C are not vector spaces. On question 2 only V is a vector space. You will show why it is a vector space and you
will also show why W and U are not vector spaces.
Solve the problem.
1) Determine which of the following sets is a subspace of Pn for an appropriate value of n.
A: All polynomials of the form p(t) = a + bt2, where a and b are in ℛ
B: All polynomials of degree exactly 4, with real coefficients
C: All polynomials of degree at most 4, with positive coefficients
A) A and B B) C only C) A only D) B only
1)
2) Determine which of the following sets is a vector space.
V is the line y = x in the xy-plane: V = x
y
: y = x
W is the union of the first and second quadrants in the xy-plane: W = x
y
: y ≥ 0
U is the line y = x + 1 in the xy-plane: U = x
y
: y = x + 1
A) U only B) V only C) W only D) U and V
2)
Find a matrix A such that W = Col A.
3) W =
3r - t
4r - s + 3t
s + 3t
r - 5s + t
: r, s, t in ℛ
A)
0 3 -1
4 -1 3
0 1 3
1 -5 1
B)
3 0 -1
4 -1 3
0 1 3
1 -5 1
C)
3 -1
4 3
1 3
1 -5
D)
3 4 0 1
0 -1 1 -5
-1 3 3 1
3)
Determine if the vector u is in the column space of matrix A and whether it is in the null space of A.
4) u =
5
-3
5
, A =
1 -3 4
-1 0 -5
3 -3 6
A) In Col A and in Nul A B) In Col A, not in Nul A
C) Not in Col A, in Nul A D) Not in Col A, not in Nul A
4)
Use coordinate vectors to determine whether the given polynomials are linearly dependent in P2. Let B be the standard
basis of the space P2 of polynomials, that is, let B = 1, t, t2 .
5) 1 + 2t, 3 + 6t2, 1 + 3t + 4t2
A) Linearly dependent B) Linearly independent
5)
Find the dimensions of the null space and the column space of the given matrix.
6) A = 1 -5 -4 3 0
-2 3 -1 -4 1
A) dim Nul A = 2, dim Col A = 3 B) dim Nul A = 4, dim Col A = 1
C) dim Nul A = 3, dim Col A = 2 D) dim Nul A = 3, dim Col A = 3
6)
1
Solve the problem.
7) Let H =
a + 3b + 4d
c + d
-3a - 9b + 4c - 8d
-c - d
: a, b, c, d in ℛ
Find the dimension of the subspace H.
A) dim H = 3 B) dim H = 1 C) dim H = 4 D) dim H = 2
7)
Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A.
8) A =
1 3 -4 0 1
2 4 -5 5 -2
1 -5 0 -3 2
-3 -1 8 3 -4
, B =
1 3 -4 0 1
0 -2 3 5 -4
0 0 -8 -23 17
0 0 0 0 0
A) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17), (0, 0, 0, 0, 0)}
B) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17)}
C) {(1, 3, -4, 0, 1), (2, 4, -5, 5), -2, (1, ...
Must be in APA format (12 point font, Times New Roman, double spaced.docx
Must be in APA format (12 point font, Times New Roman, double spaced)
Original work, not plagiarized.
Must include APA Citations
What three requirements must be satisfied in order to utilize the testimony of an expert witness?
What are the five basic methods of impeaching a witness?
Describe three ways in which expert witness’s opinions and conclusions may be biased.
Name five categories of subjects about which a lay witness may testify.
Why would you not want to attempt to impeach every witness’s testimony?
What are five reasons why a witness may not tell the truth?
What is the definition of a crime involving dishonesty or false statements?
Name the four forms of evidence permitted to prove the trait of character relating to untruthfulness.
Why are a witness’s biases allowed to discredit his or her testimony without the cross-examiner being required to prove that the witness is not credible, has contradicted his or herself, has bad character, or make an inconsistent statement?
Name the four elements of witness capacity and an example of how each could aid in the impeachment of a witness.
.
Must be done within 4 hoursAnswer the following Discussion each wi.docx
Must be done within 4 hours
Answer the following Discussion each with minimum 120 words and 1 scholarly reference.
1.
Listen to one (1) composition (i.e., for a symphony) by Beethoven, a transitional figure between classical and romantic music. Identify the composition that you listened to, and determine whether you would characterize the chosen composition as either the Classical or Romantic style of music. Explain the key features that lead you to your conclusion. Identify one (1) modern musician who you believe was great at one type of music yet pioneered another.
2.
Select one (1) example of a literary work or a work of visual art from the 1800s—either Romantic or Realist in style—that responds in some way to the Industrial Revolution. Identify the work and the artist or writer, describe its features and style, and explain the manner in which it responds to the Industrial Revolution. Next, describe one (1) example of how either black slaves or white abolitionists used literature or the visual arts as a form of protest against slavery. Identify one (1) specific literary or artistic work of our day that effectively protests a social injustice.
Supported reading material:
Beethoven
• Chapter 27 (pp. 906-912), Beethoven, qualities of the Romantic style in music
• The Beethoven-Haus Website at
http://www.beethoven-haus-bonn.de/sixcms/detail.php?template=portal_en
(Note: Click on Digital Archives > Works by Ludwig von Beethoven; then find one [1] of his symphonies and listen to a clip.
• Beethoven's Eroica at http://www.youtube.com/watch?v=9XL2ha18i5w and
http://www.youtube.com/watch?v=8RFG5rGVL1s
Art Reacting to Social RealitiesBeethoven
• Chapter 28 (pp. 920-948), art and literature in Industrial Revolution; Chapter 28 (pp. 930-936), slavery
• The Museum of Fine Art in Ghent, Belgium (MSK Gent) —Romantic and Realist Art of the 1800s at
http://www.mskgent.be/en/collection/1820-romanticism-and-realism/romanticism-and-realism
• New York's Metropolitan Museum of Art—French Realist Art of the 1800s at
http://www.metmuseum.org/toah/hd/rlsm/hd_rlsm.htm
• Haven's article on Goodman's scholarship on art protesting slavery before the Civil War at
http://news.stanford.edu/news/2009/february18/artists-slavery-protests-021809.html
• Art and Slavery article at
http://www.realhistories.org.uk/articles/archive/the-art-of-slavery.html
.
More Related Content
Similar to Multiple Choice Type your answer choice in the blank.__.docx
College Algebra MATH 107 Spring, 2015, V4.8 Page 1 of .docx
College Algebra MATH 107 Spring, 2015, V4.8
Page 1 of 11
MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be shown)
Problems #22–30 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function. 1. ______
A. Domain [0, 4]; Range [–1, 3]
B. Domain [–1, 3]; Range [0, 4]
C. Domain [–1, 0]; Range [1, 4]
D. Domain [–1, 1]; Range [1, 4]
2. Solve: 19 3 3x x− = − 2. ______
A. No solution
B. 8
C. −2, 5
D. −2
2 4 -4
-2
-4
2
4
-2
College Algebra MATH 107 Spring, 2015, V4.8
Page 2 of 11
3. Determine the interval(s) on which the function is increasing. 3. ______
A. ( ), 0.5−∞ − and (3, 6.5)
B. [– 2, 2]
C. (1, 5)
D. ( ), 1−∞ and ( )5, ∞
4. Determine whether the graph of 2xy += is symmetric with respect to the origin,
the x-axis, or the y-axis. 4. ______
A. symmetric with respect to the x-axis only
B. symmetric with respect to the y-axis only
C. symmetric with respect to the origin only
D. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and
not symmetric with respect to the origin
5. Solve, and express the answer in interval notation: | 7 – 3x | ≤ 11. 5. ______
A. [–4/3, 6]
B. (–∞, –4/3]
C. (–∞, –4/3] ∪ [6, ∞)
D. (–∞, 6] ∪ [–4/3, ∞)
College Algebra MATH 107 Spring, 2015, V4.8
Page 3 of 11
6. Which of the following represents the graph of 9x − 4y = 36 ? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2015, V4.8
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line x – 3y = 8 which passes through
the point (– 12, 7). 7. ______
A.
1
11
3
y x= +
B.
1
3
3
y x= − +
C. 3 29y x= − −
D.
1
7
3
y x= +
8. Which of the following best describes the graph? 8. ______
A. It is the graph of a function and it is one-to-one.
B. It is the graph of a function but not one-to-one.
C. It is not the graph of a function.
D. It is the graph of a parabolic relation.
College Algebra MATH 107 Spring, 2015, V4.8
Page 5 of 11
9. Express as an equivalent expression: log (x + 2) + log 1 – 3 log y 9. ______
A.
3
log( 2)
log
x
y
+
B. ( )log 3 3x y+ −
C.
3
2
log
x
y
+
D.
3
log
3
x
y
+
10. Which of the functions corresponds to the .
1 Week 2 Homework for MTH 125 Name_______________
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
1 Week 2 Homework for MTH 125 Name_______________
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
Algebra 2 Midterm ExamScore ______ ______ Name _________.docx
Algebra 2 Midterm Exam
Score: ______ / ______
Name: _________________________
Student Number: ________________
Multiple Choice: Type your answer choice in the blank.
_____1.
Simplify.
A.
B.
C.
D.
_____2.
Find a quadratic function to model the values in the table. Predict the value of y for x = 6.
X
y
1
2
0
-2
3
10
A. y = -2x2 + 2x -2; –58
B. y = 2x2 – 2x -2; 60
C. y = 2x2 – 2x -2; 58
D. y = -2x2 + 2x +2; –58
______3.
A manufacturer of shipping boxes has a box shaped like a cube. The side length is 5a + 4b. What is the volume of the box in terms of a and b?
A.
B.
C.
D.
_____4.
In how many ways can 3 singers be selected from 5 who came to an audition?
A. 1
B. 10
C. 5
D. 60
_____5.
Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100.
A.
B.
C.
D.
Short Answer: Type your answer in the space below each question. Show your work when applicable.
6.
The velocity of sound in air is given by the equation , where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree.
7.
The volume in cubic feet of a box can be expressed as , or as the product of three linear factors with integer coefficients. The width of the box is 2 – x.
Factor the polynomial to find linear expressions for the height and the width.
8.
This table shows data on heating oil use for two years in three adjacent buildings on Spring Street.
Heating Oil Use
Number of Gallons Used
Address
2002
2003
152 Spring St.
1215
1093
154 Spring St.
982
975
156 Spring St.
1562
1437
a.
Write a matrix H to represent the data.
b.
Find element . What does this element represent?
9.
Solve the equation. Check for extraneous solutions. Type your answers in the blanks.
x = ______ or ______
Multiple Choice: Type your answer choice in the blank.
_____10.
Assign each letter and a blank space to a number as shown by the alphabet table below:
0 = _
1 = A
2 = B
3 = C
4 = D
5 = E
6 = F
7 = G
8 = H
9 = I
10 = J
11 = K
12 = L
13 = M
14 = N
15 = O
16 = P
17 = Q
18 = R
19 = S
20 = T
21 = U
22 = V
23 = W
24 = X
25 = Y
26 = Z
Use to encode the phrase “FIT AS A FIDDLE”.
A.
B.
C.
D.
_____11.
A gem store sells beads made of amber and quartz. For 4 amber beads and 4 quartz beads, the cost is $46.00. For 1 amber bead and 3 quartz beads, the cost is $14.50. Find the price of each type of bead.
A. amber $10.00, quartz $1.50
B. amber $9.75, quartz $1.25
C. amber $10.25, quartz $1.75
D. amber $1.50, quartz $10.00
12.
In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warme.
3rd Semester Computer Science and Engineering (ACU) Question papers
3rd Semester Computer Science and Engineering (ACU) Question papersBGS Institute of Technology, Adichunchanagiri University (ACU)
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
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Math 107 Final ExaminationSummer, 20151
Math 107 College AlgebraName______________________________
Final Examination: Summer, 2015Instructor __________________________
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for each problem.
Problems #13-21 are short answer. Record your answer for each problem.
Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
.
Name _____________________Date___________________
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)
(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:
College Algebra MATH 107 Summer, 2015, V3.1
Page 1 of 11
MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be shown)
Problems #22–30 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise functi.
Mth10revsheets (1)
A Summary of Concepts Needed to be Successful in Mathematics
The following sheets list the key concepts that are taught in the specified math course. The sheets
present concepts in the order they are taught and give examples of their use.
WHY THESE SHEETS ARE USEFUL –
• To help refresh your memory on old math skills you may have forgotten.
• To prepare for math placement test.
• To help you decide which math course is best for you.
Math 2318 - Test 3In this test we will try something differe.docx
Math 2318 - Test 3
In this test we will try something different. The answers are provided, your job is to show the work in how to get that
solution. On problem 1 only A is a vector space. You will show why it is a vector space but you will also show why B
and C are not vector spaces. On question 2 only V is a vector space. You will show why it is a vector space and you
will also show why W and U are not vector spaces.
Solve the problem.
1) Determine which of the following sets is a subspace of Pn for an appropriate value of n.
A: All polynomials of the form p(t) = a + bt2, where a and b are in ℛ
B: All polynomials of degree exactly 4, with real coefficients
C: All polynomials of degree at most 4, with positive coefficients
A) A and B B) C only C) A only D) B only
1)
2) Determine which of the following sets is a vector space.
V is the line y = x in the xy-plane: V = x
y
: y = x
W is the union of the first and second quadrants in the xy-plane: W = x
y
: y ≥ 0
U is the line y = x + 1 in the xy-plane: U = x
y
: y = x + 1
A) U only B) V only C) W only D) U and V
2)
Find a matrix A such that W = Col A.
3) W =
3r - t
4r - s + 3t
s + 3t
r - 5s + t
: r, s, t in ℛ
A)
0 3 -1
4 -1 3
0 1 3
1 -5 1
B)
3 0 -1
4 -1 3
0 1 3
1 -5 1
C)
3 -1
4 3
1 3
1 -5
D)
3 4 0 1
0 -1 1 -5
-1 3 3 1
3)
Determine if the vector u is in the column space of matrix A and whether it is in the null space of A.
4) u =
5
-3
5
, A =
1 -3 4
-1 0 -5
3 -3 6
A) In Col A and in Nul A B) In Col A, not in Nul A
C) Not in Col A, in Nul A D) Not in Col A, not in Nul A
4)
Use coordinate vectors to determine whether the given polynomials are linearly dependent in P2. Let B be the standard
basis of the space P2 of polynomials, that is, let B = 1, t, t2 .
5) 1 + 2t, 3 + 6t2, 1 + 3t + 4t2
A) Linearly dependent B) Linearly independent
5)
Find the dimensions of the null space and the column space of the given matrix.
6) A = 1 -5 -4 3 0
-2 3 -1 -4 1
A) dim Nul A = 2, dim Col A = 3 B) dim Nul A = 4, dim Col A = 1
C) dim Nul A = 3, dim Col A = 2 D) dim Nul A = 3, dim Col A = 3
6)
1
Solve the problem.
7) Let H =
a + 3b + 4d
c + d
-3a - 9b + 4c - 8d
-c - d
: a, b, c, d in ℛ
Find the dimension of the subspace H.
A) dim H = 3 B) dim H = 1 C) dim H = 4 D) dim H = 2
7)
Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A.
8) A =
1 3 -4 0 1
2 4 -5 5 -2
1 -5 0 -3 2
-3 -1 8 3 -4
, B =
1 3 -4 0 1
0 -2 3 5 -4
0 0 -8 -23 17
0 0 0 0 0
A) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17), (0, 0, 0, 0, 0)}
B) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17)}
C) {(1, 3, -4, 0, 1), (2, 4, -5, 5), -2, (1, ...
Similar to Multiple Choice Type your answer choice in the blank.__.docx (20)
College Algebra MATH 107 Spring, 2015, V4.8 Page 1 of .docx
College Algebra MATH 107 Spring, 2015, V4.8 Page 1 of .docx
Algebra 2 Midterm ExamScore ______ ______ Name _________.docx
Algebra 2 Midterm ExamScore ______ ______ Name _________.docx
3rd Semester Computer Science and Engineering (ACU) Question papers
3rd Semester Computer Science and Engineering (ACU) Question papers
Math 2318 - Test 3In this test we will try something differe.docx
Math 2318 - Test 3In this test we will try something differe.docx
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Must be in APA format (12 point font, Times New Roman, double spaced.docx
Must be in APA format (12 point font, Times New Roman, double spaced)
Original work, not plagiarized.
Must include APA Citations
What three requirements must be satisfied in order to utilize the testimony of an expert witness?
What are the five basic methods of impeaching a witness?
Describe three ways in which expert witness’s opinions and conclusions may be biased.
Name five categories of subjects about which a lay witness may testify.
Why would you not want to attempt to impeach every witness’s testimony?
What are five reasons why a witness may not tell the truth?
What is the definition of a crime involving dishonesty or false statements?
Name the four forms of evidence permitted to prove the trait of character relating to untruthfulness.
Why are a witness’s biases allowed to discredit his or her testimony without the cross-examiner being required to prove that the witness is not credible, has contradicted his or herself, has bad character, or make an inconsistent statement?
Name the four elements of witness capacity and an example of how each could aid in the impeachment of a witness.
.
Must be done within 4 hoursAnswer the following Discussion each wi.docx
Must be done within 4 hours
Answer the following Discussion each with minimum 120 words and 1 scholarly reference.
1.
Listen to one (1) composition (i.e., for a symphony) by Beethoven, a transitional figure between classical and romantic music. Identify the composition that you listened to, and determine whether you would characterize the chosen composition as either the Classical or Romantic style of music. Explain the key features that lead you to your conclusion. Identify one (1) modern musician who you believe was great at one type of music yet pioneered another.
2.
Select one (1) example of a literary work or a work of visual art from the 1800s—either Romantic or Realist in style—that responds in some way to the Industrial Revolution. Identify the work and the artist or writer, describe its features and style, and explain the manner in which it responds to the Industrial Revolution. Next, describe one (1) example of how either black slaves or white abolitionists used literature or the visual arts as a form of protest against slavery. Identify one (1) specific literary or artistic work of our day that effectively protests a social injustice.
Supported reading material:
Beethoven
• Chapter 27 (pp. 906-912), Beethoven, qualities of the Romantic style in music
• The Beethoven-Haus Website at
http://www.beethoven-haus-bonn.de/sixcms/detail.php?template=portal_en
(Note: Click on Digital Archives > Works by Ludwig von Beethoven; then find one [1] of his symphonies and listen to a clip.
• Beethoven's Eroica at http://www.youtube.com/watch?v=9XL2ha18i5w and
http://www.youtube.com/watch?v=8RFG5rGVL1s
Art Reacting to Social RealitiesBeethoven
• Chapter 28 (pp. 920-948), art and literature in Industrial Revolution; Chapter 28 (pp. 930-936), slavery
• The Museum of Fine Art in Ghent, Belgium (MSK Gent) —Romantic and Realist Art of the 1800s at
http://www.mskgent.be/en/collection/1820-romanticism-and-realism/romanticism-and-realism
• New York's Metropolitan Museum of Art—French Realist Art of the 1800s at
http://www.metmuseum.org/toah/hd/rlsm/hd_rlsm.htm
• Haven's article on Goodman's scholarship on art protesting slavery before the Civil War at
http://news.stanford.edu/news/2009/february18/artists-slavery-protests-021809.html
• Art and Slavery article at
http://www.realhistories.org.uk/articles/archive/the-art-of-slavery.html
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Must be in APA format, and answer must be from Peak, K. J. (2012.docx
Must be in APA format, and answer must be from
Peak, K. J. (2012).
Policing America: Challenges and best practices
(7th ed.). Upper Saddle River: Prentice Hall.
Chapters 1 and 2
.
PART I: SHORT RESPONSE
Directions
: Please answer each of the following questions.
Ensure that your responses are at least 1-2 paragraphs in length for each question.
You may include examples from the text; however, please include APA citations as necessary.
Please visit the Academic Resource Center for a concise guide on APA format.
1.
Describe the colonial period’s three legacies to contemporary policing.
Then list and discuss two powerful trends in England and America that brought about changes in policing in both countries.
2.
List and describe major characteristics of the three eras of policing.
3.
Describe August Vollmer's contributions to policing.
4.
Discuss how Peel's “principles" of policing are relevant to today's police practices.
5.
Explain the 1829 "Metropolitan Police Act," and what it provided to the history of policing.
6.
Explain the contributions that were made to professional policing by William Parker.
7.
Describe how policing was returned to its roots by the President's Crime Commission.
8.
Examine how the struggle for civil rights affected the police-community relationship.
9.
Describe the functions of the law enforcement agencies contained within the U.S. Department of Justice.
10.
What are the agencies contained with the Department of Homeland Security, including their roles and functions?
11.
What is INTERPOL and how does it function?
12.
Discuss the
Uniform Crime Reports
—its methods of collecting data, purpose, and shortcomings.
13.
What is the role of the National Crime Information Center (NCIC)?
Discuss its purpose and application by law enforcement agencies.
14.
This chapter described two “other” federal law enforcement agencies—the CIA and IRS.
How would you describe their major roles and functions?
15.
Describe the primary functions and organization of state law enforcement agencies.
PART II: JOURNAL ACTIVITY
Review the website of any large law enforcement agency (e.g., a large city police department, large county sheriff's office, state police agency or a large federal law enforcement agency) and write a 200-400 word essay (1-2 pages, 12-point font, double spaced) about the history of the agency and how it has grown to its current level of resources and divisions.
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**MUST BE DONE IN EXCEL**
The Effect of Leverage on Firm Earnings
A firm needs $100 to start and has the following expectations:
Sales
$200
Expenses
$185
Tax rate
33% of earnings
a. What are earnings if the firm owners invest the $100 thus utilizing no financial leverage? Tax and net earnings values should be rounded to 2 decimal places.
b. If the firm borrows (utilizes financial leverage) $40 of the $100 at an interest rate of 10%, what are the firm's net earnings? Tax and net earnings values should be rounded to 2 decimal places.
c. What is the return on equity when financial leverage is and is not utilized? Why do the returns differ? ROE results should be shown with 2 decimal places.
d. If expenses increase to $194, what will be the new return on equity values for each scenario? ROE results should be shown with 2 decimal places.
e. Did the returns decline more when financial leverage was or was not utilized?
f. How does the use of financial leverage effect a firm's earnings?
When is using financial leverage beneficial?
When is it disadvantageous?
.
Must be in APA format Times New Roman, 12-point font, double spac.docx
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Can not use Wikipedia for this assignment, must be a creditable source
Answer to Task # 1 needs to come from:
Peak, K. J. (2012).
Policing America: Challenges and best practices
(7th ed.). Upper Saddle River: Prentice Hall.
Chapters 5 and 6
.
Must include citations
PART I: SHORT RESPONSE
Task #1
: Please answer each of the following questions.
Ensure that your responses are at least 1-2 paragraphs in length for each question.
You may include examples from the text; however, please include APA citations as necessary.
Please visit the Academic Resource Center for a concise guide on APA format.
1.
Describe the major research findings concerning the investigative function, especially as they relate to the role of detectives.
2.
Explain the recent major developments in forensic science.
3.
Briefly explain what steps must be taken by the initial responding officer at a crime scene.
4.
Describe, in lay terms, how DNA analysis functions and its contribution to criminal investigation.
5.
Explain the benefits of PCR-STR DNA and how CODIS operates to benefit the police.
6.
Explain the functions, advantages, and disadvantages of undercover work.
7.
Describe the problems that are now being taken very seriously with respect to forensic laboratories.
8.
Describe how police investigators approach “cold” cases.
9.
Explain how the Regional Computer Forensics Laboratory (RCFL) program assists with criminal investigations
10.
Describe the potential contributions of the polygraph, psychics, and hypnosis to criminal investigations.
11.
Explain the importance of forensic entomology and its benefits to death investigations.
12.
Describe the steps that need to be taken for evidence collection in stalking crimes.
13.
Explain how dogs are assisting police in the investigative function.
14.
Name the ways in which social networking sites are becoming the most dangerous places on the Internet.
Task #2
:
Research the Internet to identify and define two additional modern technologies not presented in the lesson.
PART II: JOURNAL ACTIVITY
Find a new article using LIRN (please visit the Academic Resource Center for a guide on how to use LIRN effectively) or the Internet documenting a case where forensic science played a significant part in the case.
Write a 200-400 word report (1-2 pages, 12-point font, double spaced) summarizing the case and the role forensic science played.
Be sure to reference the article in your submission.
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Your response should be a minimum of one (1) single-spaced page to a maximum of two (2) pages in length.
1.
What form of partnership allows some of the investors to limit their liability? Explain by giving examples.
2.
When does insider trading occur?
What government agency is responsible for protecting against the unethical practice of insider trading?
Explain by giving examples.
3.
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4.
Explain why inflation may restrict the usefulness of the balance sheet as normally presented.
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This is my text book that I am using for this class.
EBOOK COLLECTION: Hogan, T. P. (2007).
Psychological testing: A practical introduction
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MUSIC: THE MIDDLE AGES AND THE RENAISSANCE
1.In musical language, mezzo forte (mf) signals that the music's volume should be
A.very loud.
B.medium loud.
C.medium soft.
D.soft.
2.An example of a percussion instrument is the
A.drum.
B.violin.
C.lute.
D.shawm.
3.Harmony is used to support the melody by using
A.chords.
B.meter.
C.tonic.
D.monophonic chant.
4.Von Bingen's Play of Virtues is set to which of the following types of music?
A.Harmonic
B.Madrigal
C.Orchestral
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5.A measured performance that adheres consistently to the duple meter would be read as
A.1-2-3-4.
B.1-2-3-4.
C.1-2-3.
D.1-2-3-4.
6.Roy will play a melody in triple meter and place the pulse of the meter on the first beat. Chuck will play the triple meter melody and place the pulse of the meter on the third beat. Who is playing the melody with the correct pulse?
A.Chuck
B.Neither is playing the melody correctly.
C.Roy
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7.The volume of sound is known as
A.amplitude.
B.dynamics.
C.frequency.
D.pitch.
8.Native American chant incorporates meaningless sung syllables that serve as a form of melodic instrument called
A.drone bass.
B.vocables.
C.pulse.
D.duple meter.
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A.cadence
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C.syllabic
D.plainchant
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A.protestantism
B.humanism
C.religion
D.individuality
11.The texture of Gregorian chant is said to be
A.heterophonic.
B.polyphonic.
C.monophonic.
D.homophonic.
12.When a song's melody begins in the key of C major, it should end in the key of
A.C major.
B.F sharp.
C.G.
D.C minor.
13.In much church music into the nineteenth century, the soprano and alto part in a choir were sung by
A.castrati.
B.men singing falsetto.
C.boys.
D.nuns.
14.A capella choral music is meant to be
A.sung without instrumental accompaniment.
B.sung by women only.
C.sung by men only.
D.played in church on an organ.
15.What invention during the Renaissance period enabled people to purchase music for their own personal use?
A.Faster delivery service
B.Electronic recording devices
C.Printing press
D.Instruments for trained transcription workers
16.The basic framework for ordering music through time is the
A.phrase.
B.meter.
C.syllable.
D.value.
17.According to the textbook, the early Renaissance composer _______ was considered the best composer of his or her time.
A.Josquin des Prez
B.Hildegard von Bingen
C.Baldassare Castiglione
D.Palestrina
18.A structure of alternating sung lines among two or three singers in rhyme songs is called
A.counterpoint.
B.call-and-response.
C.syncretism.
D.intonation.
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Plato’s “Allegory of the Cave”
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Plato. (ca. 380 BC).
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The
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Jaws
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“What If” -
You’ve Got Mail
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“Time to Get a New Clock” -
The Mask
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Text book we are using is:
EBOOK COLLECTION: Hogan, T. P. (2007).
Psychological testing: A practical introduction
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Multiple Choice: Read each question and select the correct answer.
1.
A company wants to use a psychological test to screen for emotional stability for a sensitive position. Which of the following tests is the best choice for the company to use?
a.
Cognitive Assessment System
b.
Weschler Adult Intelligence Scale (WAIS-IV)
c.
Woodcock-Johnson
d.
Sixteen Personality Factors (16PF)
2.
________ testing uses ambiguous or unstructured testing stimuli to which a person responds freely to the testing stimuli. ________ is an example of this type of testing.
a.
Objective; MMPI
b.
Projective; TAT
c.
Functional; NEO-PI-R
d.
Intelligence; Stanford-Binet
3.
One of the common concerns associated with IQ testing is that
a.
a wide variety of human behaviors is being measured
b.
a person's performance is compared against others’ performances
c.
testing is used to learn about cognitive strengths and weaknesses
d.
there is a possibility of racial bias
4.
An IQ test is given to a child on Tuesday. When given the test again on Thursday, the child’s scores differ significantly. This is an issue of
a.
functionality
b.
reliability
c.
observation
d.
reflection
5.
Harry is a 7-year-old boy who is experiencing problems with receptive language. He seems to understand some but not all of what is said to him. His verbal and nonverbal responses are sometimes inappropriate. His parents and teachers want more information about Harry’s cognitive functioning. The most appropriate test to assess Harry is the
a.
Wechsler Intelligence Scale for Children – Fourth Edition (WISC)
b.
Million Clinical Multiaxial Inventories (MCMI)
c.
Sixteen Personality Factors (16PF)
d.
Minnesota Multiphasic Personality Inventory (MMPI-2)
6.
A potential limitation of an initial assessment is that
a.
the patient’s goal for treatment is identified
b.
the intake reveals a family history of mental illness
c.
sometimes the presenting problem or symptom is not the real problem
d.
someone with hallucinations may not have them during the assessment
7.
A potential limitation of a structured interview is that
a.
it does not allow the flexibility to tailor the experience to the individual needs of the person being interviewed
b.
questions are organized in a logical flow
c.
patients’ answers direct which additional questions they receive
d.
clinical judgment is minimized
8.
The choice of assessment tools used depends on numerous factors, including the following:
a.
The diagnosis
b.
The nature of the presenting problem
c.
The vocation of the patient
d.
A psychologist’s preference for the assessment tool
9.
Anita, a 20-year-old college student, comes in for an evaluation. When the clinician asks her what brings her in for therapy, she answers, “I wanted to know how to get rid of the fairies in my dorm room. They come out every night, and their pixie dust makes me sneeze, so I can’t.
Multiple Question test pick a. b. c. or d. is timed and I have 23 ho.docx
Multiple Question test pick a. b. c. or d. is timed and I have 23 hours to finish it when I select start.
The exclusionary rule refers to __________ .
[removed]
A. those cases that the Supreme Court will not hear
[removed]
B. a principle upheld in Brown v. Board of Education (1954.
[removed]
C. throwing out evidence obtained by unconstitutional means
[removed]
D. an intent to withhold information from the courts
Question 2 of 20
5.0 Points
The Bill of Rights is fundamentally designed to protect __________ .
[removed]
A. individuals from other individuals
[removed]
B. state governments from the federal government
[removed]
C. state governments from individual lawsuits
[removed]
D. individuals from government interference
Question 3 of 20
5.0 Points
Sexual harassment law is an example of __________ .
[removed]
A. affirmative action
[removed]
B. a political question
[removed]
C. the zone of privacy
[removed]
D. protective legislation
Question 4 of 20
5.0 Points
An African American student victimized by a racial epithet scrawled on his or her dorm wall should turn to which of the following groups for legal advice and assistance?
[removed]
A. Foundation for Individual Rights in Education
[removed]
B. American Civil Liberties Union
[removed]
C. National Association for the Advancement of Colored People
[removed]
D. Both B and C are correct.
Question 5 of 20
5.0 Points
Which of the following is a right of due process?
[removed]
A. freedom of religious expression
[removed]
B. legal representation in a criminal trial
[removed]
C. freedom from the death penalty
[removed]
D. the right to bear arms
Question 6 of 20
5.0 Points
A landmark case is one that __________ .
[removed]
A. is heard by the Supreme Court
[removed]
B. creates a new general standard for judicial decisions
[removed]
C. becomes an amendment to the Constitution
[removed]
D. Congress refers to the Supreme Court
Question 7 of 20
5.0 Points
Which of the following was ruled to be a violation of the separation-of-church-and-state principle of the First Amendment?
[removed]
A. allowing publicly funded school vouchers to be used to pay for parochial school
[removed]
B. decorating city streets with stars and trees during the Christmas season
[removed]
C. exemption of religious property from taxation
[removed]
D. placement of a Ten Commandments monument in a state courthouse
Question 8 of 20
5.0 Points
Which of the following cases dealt with the issue of sexual harassment?
[removed]
A. University of California Regents v. Bakke (1978.
[removed]
B. City of Richmond v. Corson (1989.
[removed]
C. Oncale v. Sundowner (1998.
[removed]
D. Hamdan v. Rumsfeld (2004.
Question 9 of 20
5.0 Points
In Grutter v. Bollinger (2003., the Supreme Court ruled in favor of __________ .
[removed]
A. the equal-protection clause
[removed]
B. the use of race as a diversity fact.
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