Basic Math Questions and Answers

3 The dimensions of an NBA basketball court are be 91 86 feet long and 49 21 feet wide How far is it from one corner of the court to its diagonal corner CHICAGO BULLS BULLS COM UNITED CENTER UNITED CENTER CHICAGOBULLS CHICAGO BULLS

If 400 is invested at an interest rate of 2 5 per year find the amount of the investment at the end of 13 years for the following compounding methods Round your answers to the nearest cent a Annually 551 40 b Semiannually 275 70 c Quarterly 137 85 d Continuously

Point P is the centroid of ALMN Find QN and PN QP 25 L QN PN P M N

Post exercise VO2 in ml min 301 Post exercise VO2 in 1 min 0 301 Post exercise VO2 in ml min kg Post exercise heat production in kcal min 2 85936 Post exercise heat production in kcal hr 84 2

a b 1 5 2 5 69 6 0 5 1 1 5 2 Y X n 6 n3 n 2 2n 35 6 n 7n 64n 3 3n 25n 311h 6 2n 3n 2 M n 2 0 5 n 2 3n 2 x 5 X

ton A ball is thrown directly upward form a balcony 300 feet in the air The height of the ball thrown is given by the function h t 16t 56t 300 where h is the height of the ball in feet and t is the time in seconds afte 718 the ball is thrown 4 After how many seconds will the ball reach its maximum height Lettin 5 What is the maximum height of the ball 118 6 After how many seconds will the ball be 60 feet above the ground od srT S

Write an expression to determine the length of the side of square below A 16x 24x 9 2x

12 Give one reason for having a driver s licence immediately suspended

Find the vertex of the parabola 11 y x 48 x 6 12 y 3x2 12x 1

the expression of the area of the triangle below I 1 x 8y 1 1 3x4 5y3 220 FOL

Find the center vertices and foci of the ellipse given by the equation x 2 y 3 100 64 center vertices foci x y x y x y x y x y Sketch the graph 15 15 10 5 5 y 15 10 5 5 10 15 y 15 10 in 10 15 1 12 5 smaller x value larger x value smaller x value larger x value 10 10 15 15 X L 15 15 10 NO 5 y 15 10 5 5 10 15 y 15 10 10 15 5 5 10 10 15 15 X X

5 Determine amplitude horizontal and vertical phase shift period 4 180 Cha 4 3 180 900 1080

Trapezoid FGHI is similar to trapezoid KLMN What is the length of GH G 3 5 in F O 8 5 in 07 in O 6 75 in O 5 5 in X 14 in 11 in K 7 in

The rectangle below is dilated by a scale factor of 3 6 to create a new rectangle Which of the following could be the dimensions of the new rectangle 1 2cm O 14 4 cm x 5 4 cm O 5 4 cm x 7 2 cm O 7 2 cm x 1 8 cm 14 4 cm x 7 2 cm 4 cm C D

Triangle JKL is similar to triangle MNO What is the value of x 8 in O 24 in O 10 in O 20 in 6 in 15 in g in 4 in M X 6 in N

Handball 13 Football Basketball TOTAL STUDENTS 1 How many students do not like either Handball or Football 21 2 How many students like Handball or Basketball 3 How many students like both Football and Basketball but not Handball 4 How many students do not like both Handball and Basketball 5 How many students do not like both Football and Basketball 6 How many students like both Handball and Basketball but not Football

1 WHOLE AND FRACTION OF INCHES ONLY 33 7 16 33437 INCHES ONLY IN DECIMAL FORM FEET INCHES AND FRACTIONS OF INCH FEET ONL DECIMAL F

Select the correct choices that complete the sentences a The negation is symbolized by and is read b The conjunction is symbolized by A and is read c The disjunction is symbolized by V and is read a The negation is symbolized by and is read

p I work hard q I get a raise Write the following compound statement in its symbolic form I do not get a raise if and only if I work hard The statement I do not get a raise if and only if I work hard is writ

Select the correct choices that complete the sentences below a The conditional is symbolized by and is read b The biconditional is symbolized by and is read a The conditional is symbolized by and is read

All ravens fly Choose the correct answer below OA No ravens fly B Some ravens do not fly OC All ravens do not fly OD Some ravens fly

No motorcycles have three wheels Choose the correct answer below O A Not all motorcycles have three wheels O B Some motorcycles do not have three OC All motorcycles have three wheels O D Some motorcycles have three wheels

sentence that can be judged either true or false is called a n sentence that can be judged either true or false is called a n

A company is ordering material from its supplier They need two types of parts called Part A and Part B Part A costs 8 each while Part B costs 2 each For Part A they already have 15 of them but in total they need 5 parts for each of 7 jobs For Part B they currently have 6 of them but in total they need 4 parts for each of 3 jobs How much will it cost them to buy everything they need to order

A carpenter has to work on two jobs Both jobs consist of two tasks where the first task takes 9 hours and the second task takes 4 hours The 1st job costs 34 per hour and an additional 46 flat rate for material The 2nd job has no flat rate for materials but requires two workers one of whom is payed 46 per hours while the other is payed 34 per hour How much does the 1st job cost How much does te 2nd job cost

Which of the following is true of the Puritans and free thought O The Puritans stressed free and open inquiry The Puritans encouraged debate about the teachings in the Bible O The Puritans believed they had the one true interpretation of Biblical truth and therefore saw other interpretations as heresy the Puritans accepted all inquiry as long as it was Christian

In the primary documents for chapter 1 you read travel reports written by Christopher Columbus Jacques Cartier Alvar Nunez Cabeza de Vaca Bartolome de las Casas and Thomas Harriot Each man described the Native Americans that he encountered What was the most commonly voiced description O The Natives were naked or nearly naked The Natives were scheming O The Natives were ready to fight with them O The Natives were ugly

A 20 ft ladder leans against a building so that the angle between the ground and the ladder is 72 degrees How high does the ladder reach on the building Your answer is feet

You are flying a kite on a line that is 350 feet long Let s suppose the line is perfectly straight it never really is and it makes an angle of 65 degrees with the horizontal feet direction The kite is flying at an altitude of Hint Draw a picture Look for a right triangle

Senior management is responsible for the overall implementation of any HIT or HIS project implementation True False

2 c Rewrite 4 without using negative exponents

3 of 50 Miguel has a Personal Auto Policy with Collision and Other Than Collision Coverages After some bad luck Miguel calls you with several potential claims Which one of the following claims will be paid under Other Than Collision Coverage damage to the hood of Miguel s car when a large tree limb fell on it damage to the vehicle s paint when Miguel scraped a tree damage to the wheel when Miguel hit the curb damage to the vehicle when Miguel hit a stray shopping cart in a parking lot

of 36 Ophelia is hit by another motor vehicle and is injured She has a Personal Auto Policy with Underinsured Motorists UIM Coverage limits of 100 300 Assuming the other party is at fault and underinsured if Ophelia s policy defines an underinsured motor vehicle with a limits trigger which one of the following is TRUE 50 The at fault vehicle s Liability Coverage is not enough to cover Ophelia s bodily injury damages The at fault vehicle has liability limits equal to Ophelia s UIM limits The at fault vehicle s liability limits are less than 100 300 The at fault vehicle must be unidentified

9 of Jessa has a Personal Auto Policy with Liability Coverage and Part D Coverage For 50 Damage To Your Auto During heavy rain she drove into floodwaters causing damage to her vehicle What coverage if any would apply under Jessa s policy Collision Coverage less the deductible Other Than Collision Coverage less the deductible Liability Coverage since Jessa was negligent Damage caused by flood is not covered

30 of 50 Joe was offered a Personal Auto Policy quote with both Medical Payments Coverage Med Pay and Personal Injury Protection PIP He would like to minimize his costs by only choosing one of the coverages Which of the following is an INCORRECT statement about the differences between Med Pay and PIP Med Pay and PIP may both provide coverage for funeral expenses resulting from a covered accident PIP coverage provides coverage for work loss resulting from a covered accident Med Pay does not Med Pay only provides coverage for accidents when Joe is at fault PIP provides no fault coverage PIP often provides an accidental death benefit for death resulting from a covered accident Med Pay does not

Motorists Coverage O of Coverage provided by the Uninsured Underinsured endorsement for injuries to an insured caused by someone who does not have any automobile insurance is known as Medical Payments Coverage Underinsured Motorists Coverage Uninsured Motorists Coverage

3 of 50 Bill is the named insured on his auto policy Which one of the following scenarios is NOT covered by the Liability Coverage under Bill s unendorsed Personal Auto Policy injuries caused by Tommy Bill s resident son while Tommy is driving his own car insured by Tommy on his own Personal Auto Policy property damage to a house caused by Bill when he is driving a borrowed car while his is in the repair shop property damage to another vehicle caused by Bill while driving a borrowed pickup to carry building materials for an addition to his family home injuries to four people as a result of Bill driving his neighbor s vehicle for a church trip For 2 points

of Cathy has a Personal Auto Policy with Medical Payments Coverage included Which one of the following would NOT be a covered Medical Payments claim 50 injuries to Cathy s friend Sarah while she is riding in Cathy s covered auto injuries to Cathy sustained while she is riding an owned three wheel all terrain vehicle injuries to Cathy s daughter who lives with Cathy while riding in a friend s car injuries Cathy receives as a result of an accident while driving her covered auto 15 P D

28 of 50 Natalie has a Personal Auto Policy with Liability Coverage limits of 15 30 5 She is taking a road trip to a state the where minimum required limits are 25 50 20 How will the Liability Coverage of Natalie s Personal Auto Policy respond if she has an accident in a state other than the one in which she lives provide only the limits of liability specified on the Declarations Page regardless of the requirements of the state in which the accident occurs Natalie will not have Liability Coverage while outside of the state where she normally resides provide only the limits required by the state in which the accident occurs regardless of the limits on the Declarations Page provide higher limits of liability than those on the Declarations Page if higher limits are required by the state in which the accident occurs For 2 points

25 of 50 Which one of the following endorsements provides Liability Coverage for Phases 1 and 2 when an insured with a Personal Auto Policy uses their auto as a driver for a transportation network company Limited Transportation Network Driver Coverage endorsement Public or Livery Conveyance Use Coverage endorsement Transportation Network Driver Coverage endorsement Miscellaneous Use Type endorsement

Coverage provision When an auto accident occurs outside of the state where your covered auto i primarily garaged the Personal Auto Policy will provide coverage in compliance with financial responsibility and other compulsory laws in that state where the accident occurs Coverage Limits Responsibility Out Of State Coverage Limit of Liability

24 of Riley has an unendorsed Personal Auto Policy with your company Her nephew 50 Jaxon lives with her but has a Personal Auto Policy of his own Will Riley s Personal Auto Policy provide any Liability Coverage if her daughter drives Jaxon s vehicle No An exclusion applies to Jaxon s vehicle except when being used by Riley only Yes The policy excludes Jaxon s vehicle but coverage is given back when being used by a family member Yes Coverage is provided for Riley her daughter and Jaxon No Coverage is excluded for Riley and her daughter for the use of a non owned auto For 2 points

Six employees of the Solar Energy Company underwent a 5 day sales training program with the sales manager Their wage rate averaged 25 61 per hour for an 8 hour day The sales manager at a daily salary of 276 64 conducted the 5 day session Refreshments cost 38 64 per day Sales kits were provided for each of the 6 employees as a cost of 109 65 each What was the total cost of the sales training program

3 How is culture power 4 What are cultural norms and what does it mean to trouble them 5 What are cultural texts 6 How can understanding and being aware of the effects of culture benefit you in you in you everyday life and in your future

prove that p q Tby QUESTION 8 contraposition contrapositive contradiction we have to show that is true

Prove that x 3 is odd if and only if x is even

Write each numeral as a decimal numeral By decimal numeral we mean the system we use in everyday arithmetic a VYV b CHE YYY

One of the oldest devices used for calculation is the abacus as shown in the figure Each rod names one of the positions we use in counting Each bead on the bottom represents one unit in tha column and each bead on the top represents 5 units in that column The number illustrated in the figure is 1 734 What number is illustrated by the following drawing

Write the numbers in decimal notation a 104 b 103

A woman earned wages of 32 500 received 1400 in interest from a savings account and contributed 3500 to a tax deferred retirement plan She was entitled to a personal exemption of 4050 and a standard deduction of 6300 The interest on her home mortgage was 8400 she contributed 2300 to charity and she paid 1800 in state taxes Find her gross income adjusted gross income and taxable income Base the taxable income on the greater of a standard deduction or an itemized deduction