Basic Math Questions and Answers

For the matrix A and ordered basis B find LA 8 Also find an invertible matrix Q such that LA Q AQ A 3 000 1 13 4 and 3 2 0 13 1 4 4 4 10

8 Diagrams are not to scale Find the value of x in simplest radical form 2 3 7 b 5 7 C7 3 d7 5 16 7 8

3 Find the exact values of s in the interval 0 2 that satisfy the given condition sin s S Use a comma to separate answers as needed Simplify your answers Type exact answers using as needed Use integers or fractions for any numbers in expression

Question 3 The lower income class of people is the symbol of O unemployment O opulent adequate housing facilities

10 Consider the graph shown 12 10 8 6 4 0 50 100 a What is the period of the function ISO 30 120 b What is the minimum value min 3 c What is the maximum max 11 d What is the amplitude 11 3 2 1 150 8 2 4 e Determine the equation of the function 200 250 f State the domain and range of the function Use set notation Domain XER 0 00 PODOR YER 211 300

1 point Consider the pictures below Click on the pictures to see them more clearly Find the exact length of each arc intercepted by the given central angle If needed you can enter as pi 1 7 6 arclength 2 3 4 arclength 4

2 Diagrams are not to scale Find the values of x y and z a 76 b 92 C46 38 C 44 f 104 9 52 h 122 OC E 92 G D y 76 x F B nam Z H

Identify whether the degree of the polynomial in the graph is even or odd and the sign of the leading coefficient y O Odd degree negative leading coefficient Even degree positive leading coefficient Odd degree positive leading coefficient O Even degree negative leading coefficient

You are considering a risky investment that you expect will either be worth 255 000 in 1 year or 105 000 with probabilities of 0 45 and 0 55 for each outcome respectively You could invest in riskless T bills at 0 043 If you invest in this risky investment you would expect to earn a risk premium of 0 11 Given this information what would you be willing to pay for this investment O 163 882 O 158 227 O 144 538 O 154 681

Polecats Jackals Ironclads Games Won D Each 4 games How many more games did the Polecats win than the Ironclads OA 1 OB 2 OC 4 O D 6 OE 8

Label the 3 sides of the triangle X 45 20

If mGD 150 and m W mZQ W Answer Z G 49 find D

For full marks you must show all your work 1 Determine the growth decay factor for the following a A population is growing at a rate of 1 6 b A population decreases at a rate of 4 c A number of cells triple every hour 2 A rare stamp was worth 79 in 1997 It was predicted to grow in value at a rate 6 per year a Write an equation to represent the value of the stamp y in dollars as a function of years x since 1997

In circle L with the measure of minor arc KM 74 find m KNM Answer K m KNM N M

Find the measure of each marked angle x x 20 190 2v10 I O O O x 20 190 3x

24 Real estate agents and their companies have control over what aspect of selling a property a financing b marketing c paying the seller d supply and demand of homes

et R be a ring On which of the following sets is matrix addition a well defined operation Select all correct answers The set of all matrices of all sizes with entries in R The set of all 2x3 matrices with entries in R The set of all 2x2 matrices with entries in R

Find the center of the circle O 7 3 O 7 3 O 6 4 O 5 4

Diagrams are not to scale FG is the tangent of circle E Find the value of x y given the diagram below 27 b54 C 72 d 7 2 18 7 f 17 4 H X E y F 36 G 24

What fraction is shown on the number line 31 0 M 1 1

Question 22 of 25 Use the volume formula to find the volume of the prism 11 A 60 cubic units B 12 cubic units C 30 cubic units D 15 cubic units 2 1 2

Add or No m 00 9 3 18 subtract the fractions w N

Find the value of x x Use 970 40 570 1319 1574 the triangle 7x 3 69 Date in each quadrilateral Dis sx x 140 angle sum theorem to 64 62 4x 1 679 solve for

Solve the right triangle B 29 a b 0 44 Round to the nearest integer as needed m Round to the nearest integer as needed m Round to the nearest integer as needed SIXXS B 969 m 60 16

Let L R2 R be the linear operator given by the rule L x y 5x 3y 4x 2y Find an ordered basis B for R2 such that OB 1 3 4 1 OB 1 1 3 4 OB 4 3 1 1 OB 2 0 0 1 OB 4 1 1 L 20 81 01

Solve the right triangle B a 0 C a C Round to the nearest integer as needed m Round to the nearest integer as needed Round to the nearest integer as needed 964 m b 59 35 A

Given the circle below with chords TU and VW Find the length of WX Round to the nearest tenth if necessary T 27 V 18 X 31 W U

Joan has an antique ring her grandmother gave to her that has been passed down for se generations What type of insurance does Joan need for the ring O An endorsement O A peril A homeowner s policy

In circle H HI 2 and the length of IJ T Find the area shaded below Express your answer as a fraction times 7 I H

In circle C with the measure of arc BD 120 find m BCD B Answer m BCD C D

On a photograph of a triangular piece of land the lengths of the three sides are 12 cm 15 cm and 21 cm respectively The shortest side of the actual piece of land is 360 m long Find the lengths of the other two sides The side of the piece of land corresponding to the side of length 15 cm in the photograph is m long Simplify your answer Type an integer or decimal CHP

The figure below shows a circle with center diameter LF and tangents TY and A Which of the angles must be right angles Select all that apply L OZQCF ZCQV ZICQ V F Y

Find the measure of each marked angle Assume the lines are parallel x 3 9x 33 for in 3 9x 33

Given the circle below with chords and MN Find the length of MO Round to the nearest tenth if necessary M K 13 O 21 N 35 L

LOGO Plus What does the question mark refer to Product awareness SLOGAN O Product safety Effective advertisement E

Given the circle below with chords IJ and KL Find the length of JM Round to the nearest tenth if necessary I K 11 22 10 M L J

In circle L with m KLM KM Round to the nearest hundredth K I 74 and KL 10 units find the length of ar L M

Entrepreneur Work Job Part time Jobs O IV III II I O III IV II I O II I IV III 2 1 David is usually paid minimum wage and he entered the field with no education or training II Hannah gets paid for what she does What does she have III You start your own business What are you called IV John engages in an activity with a goal that produces something of value for himself and or society What is this activity called

Which of the following is a moral hazard O Using a seat belt to make sure you are safe in a crash O Driving slower because you do not want a speeding ticket O Not installing a smoke alarm because you have fire insurance

Study the following diagram Make a list of what you can do to improve your next interview Which of the following BEST completes the diagram O After the interview O During the interview Follow up with the person that interviews you O Before the interview

10 Which IS NOT a typical repercussion that might result from being fraudulent or overly creative a Damage to career b Fines and penalties O c Jail time d A good reputation in the community

Find the unknown side length labeled with a variable in the given pair of similar triangles X 8 12 18

Find the Perimeter of the figure below composed of a rectangle and a semicircle Round to the nearest tenths place 4 10

In circle C with m BCD 98 and BC 4 units find the length of are BD Round to the nearest hundredth B D

In circle I m JIK 160 and the area of the shaded sector 167 Find the length of IJ K J

CI is tangent to circle O at point C mCUH 244 find m HCI U H Answer m HCI 1 C I

If your vehicle has been repossessed your creditor can O Keep it as compensation O Resell it in a public or private sale O Allow you to buy back the vehicle O All of the choices

1 Consider the rectangle prism below if LK u LH v LG w Q is in the middle of the face DEFG Write the following in terms of u v w D E A LO C Determine ZJOL H 12 m B JO F 5 m E K 2 1 2

5 Jocelyn is analyzing the sales of her company The table below shows the total sales for each of six years a Make a scatter plot of the data BY HAND Year 2003 2004 2005 2006 2007 2008 Sales 5 millions 31 2 34 6 28 9 37 7 41 3 45 1

What fractional part of one semicircle does the labeled angle represent Express your answer as a fraction in simplest terms Then express the labeled angle in radian measure 1 Fraction 40 Angle measure 40 40 of a semicircle radians