Easy
1. What is the formula of Circle in circumference?
Answer: C=2Π(radius)
2. What is a polynomial with exactly two terms?
Answer: Binomial
3.What is the formula for area of the Parallelogram?
Answer: A=(base)(height)
4.What is the reciprocal of the tangent function?
Answer: Cotangent
5.What is the numbers used to locate a point in space?
Answer: Coordinates
6. What is the point at which the axes of a coordinate system cross; the point (0,0) in the Cartesian coordinate system? Answer: Origin
7. Any one of the four regions into which coordinates axis divide a plane. Answer: Quadrant
8. What is the quotient of two polynomials?
Answer: Rational Expression
9. What is polynomial that cannot be factored?
Answer: Prime Polynomial
10. What is a function that can be defined by a polynomial? Answer: Polynomial Function

Average
1. What is the y-coordinate or the second number of an ordered pair? Answer: Ordinate
2.What is a number that can be name with exponential notation as nx? Answer: Power
3.If an equation a = b is true, then a.c = b is true for any number c. Name this equation.
Answer: Multiplication Property of Equality
4. What are the terms whose variable factors are exactly the same? Answer: Like terms
5. What is the measure of angles?
Answer: Radians
6. Reciprocals are two expressions if their product is 1. Reciprocal is also called ______. Answer: Multiplicative Inverse
7. What is the acute angle that the terminal side of an angle makes with the x-axis? Answer: Reference Angle
8. What is the Greek letter or symbol that is used for summation? Answer: Sigma Σ
9. What is the property that can be proved?
Answer: Theorem
10.What is the parts of an algebraic expression that are separated by an addition or subtraction sign?
Answer: Terms

...Math 30 – 1 – Final Exam Review Booklet Name:________________________________
Chapter 1 (Transformtions) Review
Multiple Choice
For #1 to #6, choose the best answer.
1. The graph y f (x) contains the point (3, 4). After a transformation, the point (3, 4) is transformed to (5, 5). Which of the following is a possible equation of the transformed function?
A y 1 f (x 2)
B y 1 f (x 2)
C y 1 f (x 2)
D y 1 f (x 2)
2. The graph of y x is transformed by a vertical stretch by a factor of 3 about the
x-axis, and then a horizontal translation of
3 units left and a vertical translation up
1 unit. Which of the following points is on the transformed function?
A (0, 0)
B (1, 3)
C (3, 1)
D (3, 1)
3. The graph of is vertically stretched by a factor of 2 about the x-axis, then reflected about the y-axis, and then horizontally translated left 3. What is the equation of the transformed function?
A
B
C
D
4. Which of the following transformations would produce a graph with the same
x-intercepts as y f (x)?
A y f (x)
B y f (x)
C y f (x 1)
D y f (x) 1
5. Given the graph of y f (x), what is the invariant point under the transformation
y f (2x)?
A (1, 0) B (0, )
C (1, 1) D (3, 1)
6. What will the transformation of the graph of y f...

...2y = 6x - 8
y = 3x + 4
y = -3x + 4
Solve the equation 2|3x - 2| - 3 = 7.
Solve for x the equation (1/2)x2 + mx - 2 = 0.
For what values of k the equation -x2 + 2kx - 4 = 0 has one real solution?
For what values of b the equation x2 - 4x + 4b = 0 has two real solutions?
Function f is described by the equation f (x) = -x2 + 7. What is the set of values of f(x) corresponding to the set for the independent variable x given by {1, 5, 7, 12}?
Find the length and width of a rectangle whose perimeter is equal to 160 cm and its length is equal to triple its width.
Simplify: |-x| + |3x| - |-2x| + 3|x|
If (x2 - y2) = 10 and (x + y) = 2, find x and y.
Answers to the Above Questions
0 , 1 , -1 are all equal to their respective cubes.
0.04
0.00012
= log3 x2 + log3 5 = log3(5x2)
= 3x(2x - 7y) + 4z(2x - 7y) = (2x - 7y)(3x + 4z)
= [(x - 1)- (y - 2)][(x - 1)+ (y - 2)] = (x - y + 1)(x + y - 3)
= (x + z2)(x - z2) = (x + z2)(x + z)(x - z)
= |-2(3) - (5) + 3| = |-8| = 8
= -2x + 6 -8x + 32 = -10x + 38
= x2 - 9 + x + 9 = x2 + x
distributivity
4 x6
a4b6
k = -2/3
a = -9
C. y = - 4x - 4
D. area = (x + 1)(x - 1) = x2 - 1
B. 2y = 6x - 8
solution set : {7/3 , -1}
solution set : {-m + sqrt(m2 + 4) , -m - sqrt(m2 + 4)}
k = 2 , k = -2
all values of b less than 1...

...90
Score:
9 of 10 points
Answer Key
Top of Form
Question 1 (Worth 1 points)
(03.02)
Use the graph below to fill in the blank with the correct number:
f(-2) = _______
Answer blank 1:
Points earned on this question: 1
Question 2 (Worth 2 points)
(03.02)<object:standard:macc.912.f-if.1.3
Find f(5) for this sequence:
f(1) = 2 and f(2) = 4, f(n) = f(1) + f(2) + f(n - 1), for n > 2.
f(5) = ______</object:standard:macc.912.f-if.1.3
Answer blank 1:
Points earned on this question: 2
Question 3 (Worth 2 points)
(03.02)<object:standard:macc.912.f-if.1.2
Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Laura has the movie.</object:standard:macc.912.f-if.1.2
c(x) = 2.00x + 0.50
c(x) = 2.00 + 0.50x
c(x) = 2.50x
c(x) = (2.00 + 0.50)x
Points earned on this question: 2
Question 4 (Worth 1 points)
(03.02)<object:standard:macc.912.f-if.1.2
If g(x) = x2 + 2, find g(3).</object:standard:macc.912.f-if.1.2
9
8
11
6
Points earned on this question: 1
Question 5 (Worth 1 points)
(03.02)<object:standard:macc.912.f-if.1.3
Generate the first 5 terms of this sequence:
f(1) = 0 and f(2) = 1, f(n) = f(n - 1) + f(n - 2), for n > 2.</object:standard:macc.912.f-if.1.3
0, -1, 1, 0, 2
0, 1, 1, 2, 3
0, 1, 2, 2, 3...

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...Unit 4 – Trigonomitry Quiz
True or False Questions, circle your answer.
1. cos(α)=opposite/adjacent true false
2. sin(54)=3.4/2.7 true false
for:
3. sin(α)/a=sin(β)/b is the same as a/sin(β)=b/sin(α)
true false
4. SohCahToa is not the same as primary trigonomic ratios
true false
5. The cosine law is: cos(γ)=(a²+b²-c²)/(2ab)
true false
Multiple Choice, mark your answer(s).
1. sin(20°)=45.9/c
a.) c=88.79
b.) c=134.21
c.) c=50.28
d.) c=45.9/sin(20°)
2. How do you calculate the perimiter of a triangle?
a.) P=a²+b²-c²
b.) A=bh/2
c.) P=a+b+c
c.) A=l*w
3. What would you use to find out x?
a.) the sine law
b.) sine the trigonomic ratio
c.) first the cosine law then the sine law
d.) first the sine law then tangent the trigonomic ratio
4. What is x from the triangle above?
a.) x=34.77°
b.) x= 97.5°
c.) x= 120.99°
d.) x=59.123°
5. You can definitely use SohCahToa if:
a.) you have 2 angles and an opposite angle
b.) you have 3 sides
c.) you have 2 angles and one side
d.) you have a right angled triangle
6.) sin(α)/a=sin(β)/b is:
a.) cosine law
b.) SohCahToa
c.) sine law
d.) tangent law
Give a short answer:
1. If you want to use the sine law to solve x, which sides and/or angles would you need? Explain.
I would need side c plus another one...

...1. If a line y = x + 1 is a tangent to the curve y2= 4x ,find the point the of contact ?
2. Find the point on the curve y = 2x2– 6x – 4 at which the tangent is parallel to the x – axis
3. Find the slope of tangent for y = tan x + sec x at x = π/4
4. Show that the function f(x) == x3– 6x2 +12x -99 is increasing for all x.
5. Find the maximum and minimum values, if any of
6. For the curve y = 3x² + 4x, find the slope of the tangent to the curve at the point x = -2.
7. Find a point on the curve y = x2– 4x -32 at which tangent is parallel to x-axis.
8. Find a, for which f(x) = a(x+sinx)+a is increasing .
9. The side of a square is increasing at 4 cm/minute. At what rate is the area increasing when the side is 8 cm long?
10. Find the point on the curve y =x2-7x+12, where the tangent is parallel to x-axis.
11. Find the intevals in which the function f(x) = 2log(x-2) - x2 + 4x + 1is increasing or decreasing.
12. Find the intervals in which the function f ( x ) = x3 - 6x2 + 9x + 15 is
(i) increasing
(ii) decreasing.
13. Find the equation of the tangent line to the curve x = θ + sinθ, y = 1+cosθ a=π/4
14. Prove that is increasing in [o, π/2]
15. Prove that curves y² = 4ax and xy = c² cut at right angles If c4 = 32 a4
16. A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lower most. Its semi vertical angle is . Water is poured into it at a constant rate of 5 cubic meter...

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Rules in Mathematics Contest Proper
3. Questions will be read twice in English by the Quizmaster. Contestants may start computing on the second (2nd) reading of the question.
4. After the second (2nd) reading, the Quizmaster shall say “go”. Automatically, the twenty (20) second time - limit will begin with the word “go” by the Quizmaster.
5. Contestants must encircle their final answer.
Rules in Science & Technology Contest Proper
6. Questions will be read twice in English by the Quizmaster.
7. After the second (2nd) reading, the Quizmaster shall say “go”. Automatically, the ten (10) second time - limit will begin with the word “go” by the Quizmaster.
8. Should the question require computation, contestants may start writing down...