Basic Math Questions and Answers

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

Write the number in decimal notation 7 x 105 8 x 104 6 x 103 4 x 102 5 x 10 2 10

Give the meaning of the numeral 5 in the number 0 00597 O 5 units O 5 tenths O 5 hundredths O 5 thousandths O 5 ten thousandths

a What is the largest number that uses each of the seven Roman numerals exactly once Enter a decimal number b What is the smallest number that uses each of the seven Roman numerals exactly once Enter a decimal number

What is the largest number that begins with the Roman numeral symbol Give your answer as a Roman numeral L

Write the numeral in the Roman numeration system 3 024

LLL Determine for which z the following series converge 2m 2 2 e f a 2 1 c k 1 d e b k 0 R lim k d We apply the ratio test for am 1 m thus am m xam 1 00 m 0 m 0 lim M 2 1 m 1 m 1 om 1 lim n m 2m 1 m m z i 1m 1 m m m n 3 n z 3 2 2 2 i lim m x hence the radius of convergence is R 1 Therefore the series converges for all satisfying 2 i 1 and diverges for all z satisfying 2 i 1 Now consider z such that z i 1 then 1 2 m 1 m 1 Since 11 m converges the power series converges for such z also Hence the given series converges for all satisfying 12 il 1

Twelve students are going to listen to a talk The group consists of 3 chemistry majors 2 business majors 3 political science majors and 4 journalism majors In how many ways can these students sit in their twelve seats if they must be grouped by major

1 A hollow shaft 4m long transmitted a torque of 25 kN m The total angle of twist in this length is 3 degrees and the corresponding maximum shear stress is 80 MPa Determine the external and internal diameter of the shaft if G 85 GPa

H The answer above is NOT correct What is the edge set S Answer Preview S T S V T U U W V W 1 point Construct a simple graph with vertices S T U V W whose degrees are 1 2 2 1 2 Re inco

V1 1 d v v 2 d v4 U7 Find the following distances in the graph G 3 d v1 v3 4 d v v7 5 d v vs 6 d v U8 V2 7 d v3 V3 V4 V5 V3 V6 V8 V7

1 point This problem requires you to do some reasoning based on the total degree of a graph Each part gives partial information about a graph It s up to you to use the things you know about graphs to find the missing information The graph G has 7 vertices all of degree k Also G has 21 edges What is k The graph G3 has n vertices all of degree 4 Also G3 has 10 edges What is n The graph G has 9 vertices all of degree 2 How many edges does G have

MULTIPLICATION BASE FOUR 2 0 2 10 12 X 0 1 2 3 Quotient 0 0 0 0 0 1 0 1 2 3 four 3 0 3 12 21

ET 15 Aug 1043 16 Aug 1044 17 Aug 1045 18 Aug 22 Aug O 252 27 Savings Clothing Store Bowling Alley Movie Rental Paycheck 127 38 What is the total income this teen had between August 15 22 O 122 13 15 00 74 38 18 50 14 25 348 05

SE EFFECTFEET WERKE S FFEYSEL 7 2 Soviet soldiers with lowered standards of the defeated Nazi forces during the Victory Day parade in Moscow on June 24 1945

Select the correct location on the image The supply and demand curves for a new style of silver earrings are shown Where is the equilibrium point d y220 Quantity 200 180 160 140 120 100 80 60 40 20 in 5 10 15 20 25 30 35 Price dollars supply demand 40 45 50 55 60

0 There are many types of life On Earth these range in size from microbes to blue whales and giant sequoia trees Now estimate the number of planets in our galaxy that have intelligent life with which we might someday communicate Note If you aren t sure how to approach this question consult the discussion of the Drake Equation in Section 4 of Chapter 14 in your textbook it will also help with the previous question But make your own estimate of the factors involved and the total number of intelligent extraterrestrial civilizations with which we might communicate Do you think humans will ever make contact with extraterrestrials

5 75 your answer as an exact quantity using only a single radical

A small cruising ship that can hold up to 64 people provides three day excursions to groups of 42 or more If the group contains 42 people each person pays 72 The cost per person for all members of the party is reduced by 1 for each person in excess of 42 Find the size of the group that maximizes income for the owners of the ship Answer 2 Points Keypad Keyboard Shortcuts

1 Thomas was the owner of a painting company He posted an offer on the bulletin board of the local Lion s club The offer said to the members of the Lions will paint your home this month for 5 000 up to 4 000 square feet This offer will remain in effect until June 15 The offer also included Thomas business address contact information and indicated that acceptance must be in writing Samuelson a member of the Lions and Stockton the manager of the club facility both responded Samuelson wrote a letter to Thomas on June 4 indicating that he would accept the offer so long as Deluxe Homes Paint was used Stockton wrote a letter to Thomas on June 6 indicating that he accepted all the terms of the offer a Was a contract created between Samuelson and Thomas Please discuss b Was a contract created between Stockton and Thomas Please discuss

Classify AABC by its sides and angles Ay 6 4 N 2 B 2 3 A 1 1 2 4 C 5 2 6 x

Complete the horizontal analysis Year 2 88 338 Year 1 92 147 What is the percentage change O A 5 1 OB 4 1 OC None of these D 1 3

N and M UN Y MON and M UN Y equal statements Yes No

Determine whether A quarter nickel dime penny B quarter penny Which of the following are true statements Select all that apply BCA ACB ACB BCA A B

ferry cruise ship C cruise ship kayak ferry row boat hoose the correct answer below OA This statement is false The two sets are equal OB This statement is false Ferry is not an element of the second set OC This statement is false Cruise ship is not an element of the second set OD This statement is false The second set is a proper subset of the first set E This statement is true

FunBox E Game Box FunBox Wizard Choose the correct answer below A This statement is false The element FunBox is not in braces and thus cannot be a subset of the second OB This statement is true OC This statement is false The element FunBox is not equal to the second set OD This statement is false The set FunBox is not an element of the second set OE This statement is false The element FunBox is not an element of the second set

Complete each series with the missing number Then write the number in Italian Follow the model Modello 2 4 6 8 10 sei 0 10 20 30 4 94 55 66 77 4 6 9 12 15 100 90 80 12 16 20 92 91 90 99 24 34 44 70 75 80 85 60

3 William purchased a Treasury bill for 2 631 009 62 The Treasury bill has a face value of 2 750 000 If the T bill was discounted at a rate of 7 5 find its term in weeks 30 weeks 35 weeks 25 weeks 40 weeks

A 5 10 21 3 6 4 8 1 31 12 5 102 3 21 3 6 4 8 1 31 12

A butterfly conservatory has 80 specimens and has estimated the population to grow at an annual rate of 7 5 a Write an equation to represent y the number of butterflies in the conservatory n years from now b Graph the equation Use values of n from 0 to 30 in steps of 5 years c Use the graph to estimate when the butterfly population is 420 d Use the graph to estimate how long it will take for the current population to double Attach your work as a single image JPEG image Contact your instructor if you have difficulty attaching the image Attach File

An office machine is purchased for 6800 Its value each year is 83 of its value the preceding year a Write an equation to represent the value V of the machine after n years b Graph the equation for n 0 to 8 in steps of 2 years c Use the graph to predict when the value of the machine will be 1500 Attach your work as a single image JPEG image Contact your instructor if you have difficulty attaching the image

A laboratory has a 280 g sample of nitrogen 13 which has a half life of approximately 45 minutes a Write an equation to represent the mass of the sample y grams left after n half lives b How many half lives will have elapsed in 3 hours c How much of the sample is left after 3 hours For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragraph Arial V V 10pt

You buy a new computer for 2100 The computer decreases by 50 annually When will the computer have a value of 525 For the toolbar press ALT F10 PC or ALT FN F10 Mac

1 Consider the task of approximating sin x over the interval 0 1 If one uses a polynomial interpolant based upon n 1 equispaced data points on 0 1 x ih h 1 n i 0 1 n How many points are required so that the error bound for the interpolant is less than 1 x 10 6

Chapter 5 6 If specified at MMC the total straightness tolerance of a median line equals the tolerance in the feature control frame plus any bonus tolerance extra material remaining distance limiting factors A

5 When verifying flatness the feature of size is first measured to verify that it falls within the two parallel lines 4 tolerance zone size limits bowed surface

Chapter 5 4 The flatness tolerance zone does not need to be specified in the feature control frame less than the size tolerance parallel to any other surface

Consider the trinomial x2 16x 28 In preparation for factoring it by grouping write 16 as a sum or difference of factors of 28

rm tolerances are surface controls except for 1 Select two correct answers Flatness of a median plane Cylindricity of a cylinder Straightness of a median line Roundness of a circle 3 points Chapter 5 2 Form tolerances are independent of all other Size Limits Features and

One boat is bearing N 27 W and the other is bearing N 75 E as seen in the diagram The point B is due East of point A Note Not to scale 8 mi A 6 mi d 0 B Determine d the distance between the two boats k 12 mi

chromium carbide silicon carbide tantalum carbide tungsten carbide Question 15 Which of the following are properties generally associated with ceramic materials three best answers chemical stability electrically conductive O good ductility O high hardness O soluble in water 6 67 pts Othermally insulating

Properties and characteristics of glass ceramics include which of the following two best answers O efficiency in processing O electrical conductor O high thermal expansion O strong relative to other glasses O answers a and d

Name Hour Each row column and square can contain each number 1 9 exactly once The squares that contain letters match with the questions below the puzzle The answers are the number that fills in the square F L 6 2 O I 5 4 7 1 2 2 C 7 3 5 6 A Tenths digit of IT D The most common number among the first million digits of TT G The first 10 digits of IT add up to 9 J Albert Einstein was born on March 14 187 3 9 4 J 7 1 5 9 G 6 2 3 B Ones digit of IT a 3 K The symbol to represent the number was introduced in 1 06 5 A 4 7 9 LO E E is the 1 th letter in the Greek alphabet 8 H Ludolph van Ceulen lived from 1540 1610 He spent most of his life calculating the first 6 digits of pi K 1 8 H 2 5 9 D 8 B 7 C Hundredths digit of TT F In 1995 Hiroyoki Gutu memorized 42 95 places of pi 1 According to ancient Egyptians 3 14 the value of pi was L Pi is approximately equal to the fraction 2017 Wilcox s Way 22

2 Quick Buck and Pushy Sales produce and sell marginal and average cost Below is the market demand and marginal revenue curves for the product 4 00 2 00 a 1 00 MR 2000 3000 D 4000 Q Quick Buck and Pushy Sales have agreed to each produce half the profit maximizing monopolist quantity set the monopoly price and split the profits evenly Suppose Quick Buck can cheat on Pushy Sales and reduces its price to 1 00 each while Pushy Sales continues to comply with the collusive agreement Find the economic profit for both firms if they cooperate and charge the same price b Find the economic profit for both firms if Quick Buck breaks the agreement and

In a survey 250 adults and children were asked whether they know how to swim The survey data are shown in the relative frequency table Adults Children Total Can swim 0 34 0 48 Cannot swim 0 06 0 12 What percentage of the people surveyed are adults Total

A survey asked 60 students if they play an instrument and if they are in band 1 35 students play an instrument 2 30 students are in band 3 30 students are not in band Which table shows these data correctly entered in a two way frequency table

Identify the sample space OA The sample space is 00 B The sample space is 00 0 1 2 37 Question 9 3 1 27 Part 2 of 2 OC The sample space is 00 0 OD The sample space is 1 2 37 How many outcomes are the sample space Identify the sample space of the probability experiment and determine the number of outcomes in the sample space Playing the game of roulette where the wheel consists of slots numbered 00 0 1 2 37 To play the game a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots HW Score 20 5 O Points 0 of 1 www

3 254 6x 25 3 X 2 41 816 5 8t x 4t S t 2 2

A z score of 1 indicates a point that is one A 4 than the m

ewrit nese expressions then work a numerical answer 3 4 3 B DO 2 2