Basic Math Questions and Answers

Rearrange to isolate variable c in the following equation and choose the correct answer b cac a 2

6 92 3 y 2 O y 3 37 O y 216 O y 36 3 O y 9 2 6

4x 10 36 X

twenty two increased by twice a number O 22x 2 O2 22x O x 22 O 22 2x

On a vacation Holly ended up spending a certain amount of money on food 2 times as much on local transportation 6 times as much on flight tickets and 9 times as much on accommodation If in total she spent 1 560 for this trip how much did she spend on accommodation tA

4 17x 17 4x 17 4 4x 17 number

Determine the coefficient p and exponent m when the following expression is simplified p m 5x 2x px

Choose the correct algebraic expression for the following five less than twice a number 2 5x 0 2x5 x O 2x 5 O 2x 5x

3 art 1 of 3 ints eBook Hint Print References Required information The following information applies to the questions displayed below Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of 84 200 The machine s useful life is estimated at 10 years or 386 000 units of product with a 7 000 salvage value During its second year the machine produces 32 600 units of product Determine the machine s second year depreciation and year end book value under the straight line method Choose Numerator Year 2 Depreciation Year end book value Year 2 Straight Line Depreciation Choose Denominator Annual Depreciation Expense Depreciation expense

es Rodriguez Company pays 405 405 for real estate with land land improvements and a building Land is appraised at 240 000 land improvements are appraised at 72 000 and the building is appraised at 168 000 1 Allocate the total cost among the three assets 2 Prepare the journal entry to record the purchase Complete this question by entering your answers in the tabs below Required 1 Prepare the journal entry to record the purchase Note Round your answers to 2 decimal places Required 2 View transaction list Journal entry worksheet A

Het gewicht g in kg van een kalfje t weken na de geboorte voldoet aan de formule g 5t 40 Vulin bij t 4 is g 5 x 4 40 b Vul de tabel in Teken een grafiek bij de tabel dis de formule St 40 een lineaire formule g 2 3 4 5

Future amount 4000 Number of periods 5 years Interest rate period 2 Present value

Distribute Date 09 18 2023 Due Date 09 21 2023 1 A Liquid limit tests results are given below Number of blows N TEST Liquid Limit 13 24 30 40 a Draw the flow curve and determine the liquid limit b If PI is 11 determine the plastic limit of the soil Moisture Content 39 28 24 8 20

1 A Liquid limit tests results are given below Number of blows N TEST Liquid Limit 13 24 30 40 a Draw the flow curve and determine the liquid limit b If PL is 11 determine the plastic limit of the soil Moisture Content 39 28 24 8 20

1 This refers to the relative thickness of a font s stroke 2 A typeface without serifs is called a serif typeface 3 This refers to how easy it is to read words or blocks of text which is affected by the style of a typeface refers to the uniform adjustment 4 Letter spacing also called of the space between letters in a piece of text 5 What typeface was John Baskerville famous for designing one word 6 This typographer was responsible for designing London s street signs first and last name 7 This typographer apprenticed with Antoine Augereau first and last name 8 Who designed they typeface Times New Roman first and last name 9 Who is the only typographer on this list who designed for Adobe first and last name 10 Paul Renner designed this extremely popular typeface in Germany one word

The table below provides population facts about the world and two of its most populous countries India and China Current Population Region World China India millions h 8 057 5 1 448 1 1 401 6 Percent of Population by Age Greater than 65 9 3 11 9 6 5 Less than 15 25 4 0 21 5 26 1 According to the table the current population of the world is j 8 057 5 the population of the world in ordinary notation 057 500 000 million million people Write 2 b What percent of the population of the world lives in countries other than China or India Round your result to the nearest whole number c According to the table k 21 5 of the people who live in China are less than 15 years old and 11 9 are greater than 65 years old What percent of the people

Find explicit formulas for the sequences whose initial terms are given below That is find a formula for the nth term of the sequence In each case assume that the first term s index is 0 a 5 9 13 17 21 b 1 4 7 10 c an 5 4n d 13 an 1 n 1 3n 1 2 3 4 4 9 16 25 an n n 2 2 149 3 9 27 an n 2 3n 3 e 0 1 12 2 3 3 an 1 n n n 2 n 0 help formulas n20 help formulas n20 help formulas n 0 help formulas n20 help formulas

7 The table below displays the percent of Japan s population in each age group over the last 40 years Japan 1980 2020 Percent of population under age 15 n 17 09 Percent of population over age 65 a Calculate the absolute change in the percent of the population that is under the age of 15 between 1980 and 2020 Round your result to two decimal places 3 c Calculate the absolute change in the percent of the population that is over the age of 65 between 1980 and 2020 Round your result to two decimal places 3 12 45 8 91 o 22 33 b Calculate the relative change in the percent of the population that is under the age of 15 between 1980 and 2020 Round your result to one decimal place 4 d Calculate the relative change in the percent of the population that is over the age of 65 between 1980 and 2020 Round your result to one decimal place 4

Represent the function f x Find the following coefficients Co C1 C2 C3 11 CA Find the radius of convergence R M 4 1 8x as a power series f x n 0 Cnx

What is your approximate self imposed credit limit each month for credit card purchases Why did you choose this amount Even if you don t have a credit card think of an amount that you would impose when you do own a credit card

The graph below shows the supply and demand curves for regular unleaded gasoline in a medium sized city with the equilibrium price and quantity indicated Adjust the price by dragging the horizontal line up or down so there is a daily surplus of 40 000 gallons To refer to the graphing tutorial for this question type please click here Price per gallon 8 7 5 7 6 5 6 5 5 5 4 5 4 3 5 3 2 5 2 1 5 1 0 5 0 4 0 20 6 OP of D 8 8 8 8 6 3 3 3 3 3 Quantity thousands of

Every Saturday I go to my local downtown market to buy fresh vegetables and bread My market is somewhat unusual because everything is sold through an auction an auctioneer calls out a price buyers yell out how much they want to buy and sellers yell out how much they want to sell If there s a match the goods are sold at that price If not the auctioneer has to call out a new price until there is a match Let s look at an auction for banana bread There are 20 buyers and 4 sellers of banana bread The table below provides information for a single buyer s demand curve and a single seller s demand curve Price 10 8 6 4 2 Quantity of banana bread demanded by one buyer 0 2 4 6 8 Quantity of banana bread supplied by one seller 60 50 40 30 20

Rqmts Design 6 17 50 25 5 17 1 83 3 35 to 0 7 1 33 1 77 Code B 10 33 24 Code C 3 33 83 69 Integ 8 67 45 Te 2 33 a The client has asked for an estimated completion date b The client would like to have the completed software in 37 weeks What is the likelihood that the critical pat be completed in that time frame c The client has just asked if it would be possible to have the completed software in 36 weeks What is the likelihood the project will be completed in that timeframe d The client wants to know if it would be possible to complete the project in 33 weeks What is the probability meeting the client s demand

Over the past 10 years the craft beer industry has grown tremendously Whether it is a byproduct of the buy local movement or because beer drinkers have become more refined more and more people are putting down their Bud Light and picking up a bottle o Sweet Baby Jesus or Blithering Idiot For each of the items to the right of the figure label where the new equilibrium will be relative to the original equilibrium E Price Craft Beer Market E D Quantity A More beer drinkers prefer craft beer over national brands B The price of hops a key ingredient in beer has risen The price of wine has fallen Despite the increase in the price of hops a key ingredient in beer sales of craft beer increase as beer drinkers switch from drinking national brande

recent Baby Boom has caused an increase in population The graph below shows the market for diapers at equilibrium before the baby boom Using the drag tool drag the appropriate curve s to show the effect of the recent baby boom on the market for diapers To refer to the graphing tutorial for this question type please click here Price per box of diapers Part 2 1 point 4 O Quantity boxes of diapers What will happen to the price of a college education 18 years from now Choose one A The supply of a college education will increase causing a decrease in the price B The demand for a college education will decrease causing a decrease in the price See H

The table below provides information for the demand and supply of bacon cheeseburgers Price 24 20 16 12 8 4 1st attempt Price AR ZNR 2 2 30 Part 1 1 point On the graph below use the line drawing tool to draw the demand and supply curves Each curve should be drawn as a single line To refer to the graphing tutorial for this question type please click here 24 22 16 16 14 Quantity of bacon Quantity of bacon cheeseburgers demanded cheeseburgers supplied 12 0 20 40 60 80 100 60 50 40 30 20 10 O Se

Suppose that Sony decides to decrease the price of the PlayStation 4 video game system for which there are many games available Based on Sony s decision what can we infer Choose one or more A The market demand for PlayStation 4 games will increase B The quantity of PlayStation 4 video game systems demanded will increase OC The market demand for the PlayStation 4 video game systems will increase

Apple which makes the iPhone is forced to pay its workers higher wages ategories A celebrity who endorses Subway is arrested Shift in Demand A new report indicates that eating hot dogs can prevent cancer Nike s customers learn of Adidas decision to lower its prices Shift in Supply Neither

You publish a magazine for calculator collectors To produce and distribute this magazine you use a number of inputs computers labor paper postage staplers What is the impact on the market if the price of paper goes up Choose one A The demand for the magazine does not change and the supply curve shifts to the right The equilibrium price falls but the equilibrium quantity rises B The demand for the magazine does not change and the supply curve shifts to the left The equilibrium price rises but the equilibrium quantity falls C The demand for the magazine shifts to the left and the supply curve shifts to the right The equilibrium price falls but there is an unknown change in the equilibrium quantity D The demand for the magazine shifts to the right and the supply curve shifts to the left The equilibrium price rises but there is an unknown change in the equilibrium quantity

The market for tablet computers contains only a few major producers If more tablet computer producers enter the market what will happen Choose one or more A The market will become more competitive and the price will fall B Individual sellers will have more control over the market C There will be a greater quantity of tablet computers available in the market D The market will become more competitive and the price will rise

The black capped chickadee Poecile atricapilla is a small songbird commonly found in the northern United States and Canada Chickadees often live in cooperative flocks using a complex language to communicate about food sources and predator threats In an experiment researchers recorded chickadee vocalizations in an aviary when the birds were presented with predators of various sizes The table contains data that represent the average number of D notes per chickadee warning call for each type of predator along with the predator wingspan in centimeters Predator Pygmy owl Saw whet owl Kestrel Merlin Cooper s Hawk Short eared owl Prairie falcon Gyrfalcon Peregrine falcon Red tailed hawk Great horned owl Great gray owl Rough legged hawk Predator wingspa n cm 31 2 38 8 57 6 60 6 80 6 89 2 109 9 115 1 120 0 120 0 120 4 132 2 138 0 Number of D notes per call 3 96 4 09 2 76 3 04 3 18 2 28 2 20 2 25 2 80 2 56 2 46 2 06 1 36 To access the complete data set click the link for your preferred software format CSV Excel JMP Mac TXT Minitab14 18 Minitab18 PC TXT R SPSS TI CrunchIt 1 C N Templeton E Greene and K Davis Allometry of alarm calls black capped chickadees encode information about predator size Science 308 2005 pp 1934 1937 O Macmillan Learning Plot the number of D notes per call response variable against the predator wingspan explanatory variable Choose the correct scatterplot Scatteplot of Number of 0 retes per cal vs Predator wingipan o Pa Scatteplot of Namber of D notes per call vs Predator wingspanjo Prawn Scept of Number of Dnatas per cal vs Predator wingioon jum Pa Scaterpol of Number of D netes per cal vs Predar wingipan janj G

mework A news item is spread by word of mouth to a potential audience of 6 000 people The following function models the number of people who have heard the news after t days Complete parts a through g below 6 000 1 70e f t 0 3t Part 1 of 7 a Approximately how many people will have heard the news after 12 days Round to the nearest hundred as needed CDB Ay 6000 4000 2000 0 0 5 10 15 20 25 30 graph of f Q Q Ay 500 2 300 100 0 5 10 15 20 25 30 graph of f Q G

Suppose the cost to the firm of shipping cars falls Using shipping costs will affect the market To refer to the graphing tutorial for this question type please click here Price O 02

or 1 10 determine if set is a domain 1 Im z 2 Im z i Re z 4 3i z 2 2i 2 Re z 2 2 3 4

23 Flying Distance The bearing from A to C is S 52 E The bearing from A to B is N 84 E The bearing from B to C is S 38 W A plane flying at 250 mph takes 2 4 hr to go from A to B Find the distance from A to C

Enter the answer to each question in base 10 a If a positive integer written in base 10 has 4 digits what is the least the integer could be b If a positive integer written in binary has 6 digits what is the most the integer could be c If a positive integer has 8 digits when written in binary at most how many digits does it have when written in base 10 d Find the largest number whose binary representation is exactly 4 digits longer than its base 10 representation

Let B 2 5 Compute the power set of B P B Hint Enter the elements of the power set as a list separated by commas Also remember that each element of power set of Bi a set The empty set can be entered as

Problem 7 10 pts Pure substance in connecting tanks Two rigid tanks are connected by a valve as shown in the figure below Tank A contains 0 25 m of water at 400 kPa and 75 percent quality Tank B contains 0 6 m of water at 200 kPa and 250 C Next the valve is opened and the two tanks eventually come to the same state Determine the pressure and the amount of heat transfer when the system reaches thermal equilibrium with the surroundings at 35 C In your solution start with a schematic that includes the boundary of the system that you will use and list all your relevant assumptions H O 400 kPa H O 200 kPa

Perform each of the following operations 2c 1pt 2pt 1qt 4qt 1 gal a 3 qt b 2 gal 2 qt a 3 qt gt Z 1 pt 1 c 1 pt pt 2 gal 2 qt 4 qt 1 c 1 c 2 c 1c 4 qt 2 c HEE

You are asked to distribute 1025 in prize money The dollar amounts for the prizes are 625 125 25 5 and 1 How should this money be distributed in order to give the fewest number of prizes There should be 625 prize s prize s 125 prize s 25 prize s 5 prize s and

One fact in a fact family is 13 4 9 Complete parts a and b below a What are the other three members of this fact family Select all that apply 4 A 9 4 4 9 C 13 4 9 E 13 9 4 G 9 13 13 9 b Draw four number line models to illustrate each of the number facts in part a Identify the number fact that corresponds to the question mark in each graph Q Q Q Q Q 9 02468 1012 G 3 0 24 6 8 1012 13 4 02 4 6 8 1012 B 4 9 13 D 4 9 4 9 F 9 4 13 H 4 9 13 0 13 9 TT 0 24 6 8 1012 J

Write each of the following numerals in base 10 For base twelve T and E represent the face values ten and eleven respectively a 133 five b 11010 two c 44T twelve a 133 five Simplify your answer b 11010 two Simplify your answer c 44T twelve Simplify your answer www

Give an example of the associative property of addition of whole numbers Choose the correct answer below OA 2 3 3 2 OB 2 7 9 OC 4 0 4 OD 2 3 4 2 3 4

Fill in the missing numbers 2 5 6 764 44 6 IN 4095 4

The attendance at a County Fair for one week is given Estimate the number of attendees during the week FEL popple Tuesday Wednesday Thursday Friday Saturday 46 078 33 938 51 614 49 408 50 201

Write 2055 six in expanded notation and then convert it to base ten www Write the number 2055 six in expanded notation Choose the correct answer below OA 2 64 0 6 5 6 5 6 OB 2 6 0 6 5 6 5 6 OC 2 63 0 6 5 6 5 OD 2 6 0 6 5 6 5

Write the complete fact family for 63 7 9 www Identify all four facts in the family Select all that apply A 9 7 63 D 9 63 7 G 9 63 7 J 7 63 9 B 63 7 9 E 7 63 9 H 9 7 63 OK 7 9 63 C 63 7 9 F 63 9 7 I 63 9 7 L 7 9 63

ite a related addition sentence y 8 A related addition sentence is Type the equation without blank space

Which property is illustrated in each of the following a 9 5 6 9 5 6 b 9 5 6 9 6 5 c 9 5 6 5 6 9 d 1 5 6 5 6 e 2 9 0 0 f 9 5 2 6 9 5 2 9 5 6 a Which property is illustrated by 9 5 6 9 5 6 O A The zero multiplication property OB The commutative property of multiplication C The associative property of multiplication

Place parentheses if needed to make each of the following equations true a 2 7 4 36 c 5 4 9 6 3 b 28 4 1 8 d 5 6 2 4 12 a Choose the correct answer below TH OA Parentheses are needed The corrected equation is 2 7 4 36 OB Parentheses are needed The corrected equation is 2 7 4 36 OC Parentheses are needed The corrected equation is 2 7 4 36 O D Parentheses are not needed to make the equation true h Choose the correct answer below