Basic Math Questions and Answers

xar x03 3 1 Find the quadratic relation in vertex form that a has its vertex at 5 8 and passes through the point 7 10 Y 9 x h K a x 5 8 sub in Point 7 10 10 a 7 5 8 10 9 2 48 10 a 4 8 10 8 40 2 498 2 9 Simplify 9 b is defined by y 2x 12x 17 The equasion is 19 x 5 8 noitsles oils bsup ert to rigang erit S x valemm

3 Solve each of the following Find the roots b 5x 4x 2 5x a x 2x 48 Theebligbau 200 c 160x16x

A baseball diamond is square shaped and has 90 feet between each base located at the corners of the square How far will the catcher at one corner standing at home plate throw the ball across the diagonal to the second baseman at the opposite corner O 130 feet O 115 87 feet O 180 feet Report an Error question 3 of 5 O 127 28 feet C TI Q

Watch help video Use the long division method to find the result when 6x 29x 29x 14 is divided by 3x 7

Using the box plot provided what is the vertical line circled in red 1 2 313 Median Quartile 3 Quartile 1 3 625 4 938 6 25 7 563 O Extreme minimum Interquartile range Repor quest

A triangle has side lengths 0 3 0 4 and 0 5 Do these side lengths form a Pythagorean Triple Yes Even though 0 3 0 4 and 0 5 are decimals they O No because 0 3 2 0 4 2 does not equal 0 5 2 are similar to the Pythagorean Triple 3 4 5 O No Even though 0 3 2 0 4 2 0 5 2 these lengths are not whole numbers Report an Error question 2 of 5 O Yes because 0 3 2 4 2 0 5 2

Which of the following is the graph of y sqrt x O O Graph A Graph B 2 0 Graph C 2 4 Report an EPPO quesition 2 of 5 None of these are the graph of y sqrt x Ne Sol Sol Sol Ch Ch Ch Ch Ch Ch Ch CH CH C

A jar contains 12 differently coloured balls If you remove all the balls one at a time how many colour sequences are possible a 12 O b 12 1 O c 12 12

d of Consider the two functions y x 3 and Y2 b on the interval a a if a 7 5 What value does b have to be in order for the area between y and y2 and a a to equal 52 8 Round your answer to five decimal places

What is the surface area of the tissue box Show your work 4 5 in 4 75 in 9 in

You and your friend Maria are 21 years old Maria just started her first job in construction She knows saving is important but she isn t sure where to get started Right now Maria s main goals are to build an emergency fund since she doesn t have any savings and start saving for retirement Her take home pay averages 2500 per month although it varies based on her hours and opportunities for overtime Each month she pays approximately 270 towards her student loans 900 on rent 220 on healthcare 130 on transit and 500 on food She comes to you to ask for advice on her savings plan Write your suggestions to Maria Make sure you address the following questions 1 Ideally what percentage of her income should Maria aim to save overall What savings goals are included in that percentage 2 What barriers might Maria face when trying to save more 3 What strategies would you recommend Maria use to meet her savings goals 4 What account type would be best for Maria to save for her long term goals like retirement Why

Let f x 4 5x 9 5 x 26 2 a if x 1 if x 1 x 1 Determine which one of the following rules for continuity is violated at z 1 Of a is defined O lim f x f a a Olim f a exists None of the above the function is continuous at a 1 Submit Cumption if

A 240 000 building is depreciated by its owner The value y of the building after x months of use is y 240 000 1500x a Graph this function for x 0 y 400 000 300 000 200 000 100 000 O y 400 000 300 000 200 000 100 000 50 100 150 200 X y 400 000 300 000 200 000 100 000 F 50 100 150 200 X y 400 000 300 000 200 000 100 000 50 100 150 200 X

To solve a linear inequality we will try to isolate the variable on one side of the inequality 4 x 3 3x 1 4x 4x 3x 1 X 1 I Simplifying we get the inequality

For a long distance phone call a hotel charges 0 55 for the first minute and 0 17 for each additional minute or fraction thereof A formula for the cost is given below where t is the time in minutes Note x greatest integer n such that n x For example 3 2 3 and 1 6 2 c t 0 55 0 17 t 1 a Use a graphing utility to graph the cost function for 0 t 5 Use the graph to complete the table below and observe the behavior of the function as t approaches 3 5 t C t 1 06 0 89 t 3 5 3 Use the graph and the table to find the following limit lim C t 1 06 3 3 2 1 06 2 5 3 4 b Use the graph to complete the table below and observe the behavior of the function as t approaches 3 2 9 1 06 3 3 5 3 1 1 06 3 6 3 5 1 06 3 7 4 1 06 4

At December 31 balances in Manufacturing Overhead are Shimeca Company debit 2 260 Garcia Company credit 1 011 Prepare the adjusting entry for each company at December 31 assuming the adjustment is made to cost of goods sold Credit account titles are automatically indented when amount is entered Do not indent manually Date Account Titles and Explanation Shimeca Company Dec 31 Garcia Company Dec 31 Debit 1001 Credit 100

3 Raven is starting with absolutely no savings but she wants to have an emergency fund of 10 000 saved by the end of her first year at her new job a How much will she need to save per month in order to meet this savings goal b What would Raven s take home pay need to be in order for that monthly savings target to represent 20 of her pay 4 Fill in the blanks to write a word problem for your own personal savings goal wob argari ejot 0 Right now I have like to have a total of 5 Select one of these two statements to complete already saved This money is located in in order to per month which means it will take me I can save I would like to reach my goal in months so I ll need to save I would to reach my goal per month

Current Attempt in Progress Marquis Company estimates that annual manufacturing overhead costs will be 915 560 Estimated annual operating activity bases are direct labor cost 487 000 direct labor hours 48 700 and machine hours 97 400 Compute the predetermined overhead rate for each activity base Round answers to 2 decimal places e g 10 50 or 10 50 Overhead rate per direct labor cost Overhead rate per direct labor hour Overhead rate per machine hour

Current Attempt in Progress In January Dieker Company requisitions raw materials for production as follows Job 1 930 Job 2 1 200 Job 3 770 and general factory use 700 Prepare a summary journal entry to record raw materials used Credit account titles are automatically indented when amount is entered Do not indent manually Date Account Titles and Explanation Jan 31 Debit Credit

solution to the equation below 3 2x 5x 36x 90 A 510 2 B 2 3 C 2 5 togas fireman hats clown shoes

ONS make a table plot the points and of 12 1 x 3 x 8 4 1 0 1 4 8 sy 47454324 y 13

Which of the following statements is are true 1 Categorical variables are the same as qualitative variables II Categorical variables are the same as continuous variables III Quantitative variables can be continuous variables OII only I and III I and II OI only O III only

An animal scientist is studying cows She collected information on weight in pounds breed age measured in months and milk production measured in pounds for each of the 130 cows in a herd This data is an example of Categorical Data Multivariate Data Qualitative Data Univariate Data

a similar question You can retry this question below The median home value in Pennsylvania and Kentucky adjusted for inflation are shown below Year 1950 2000 Pennsylvania 42400 97000 Kentucky 32000 86700 If we assume that the house values are changing linearly a In which state have home values increased at a higher rate Kentucky b If these trends were to continue what would be the median home value in Pennsylvania in 2010 c If we assume the linear trend existed before 1950 and continues after 2000 the two states median house values will be or were equal in what year The answer might be absurd The year

Sharon deposits 600 every 6 months into an account that pays 8 annual interest compounded semi annually for 10 years How much interest will be paid to the account OA 25 907 10 OB 13 907 10 OC 17 866 85 D 5866 85

Tim needs 6500 in 3 years for his first year university program He is planning to deposit a regular amount at the end of each month into an account that pays 4 2 compounded monthly How much does he need to deposit each month to reach his goal OA 2159 10 B 1912 99 OC 531 32 D 169 73

Aaron invests 2000 in an investment that pays 4 annual interest compounded monthly for 20 years The total amount of interest that he will be paid is OA 4445 16 OB 137 64 OC 2137 64 D 2445 16

The amount of interest earned on 5000 invested at 4 simple interest for 4 years is OA 5800 B 1600 C 200 D 800

PART 1 PICK EITHER OPTION A OR B Option A Eric missed the morning bus and had to run from home to school but must first pick up his school bag at his friend s house a How far does Eric have to run to get to school with his school bag All distances in meters Round your final answer to the nearest tenth of a meter b If Eric twists his ankle mid way between his friend s HOME 140 70 FRIEND S HOUSE 230 180 SCHOO 320 18 15 ma

right triangle has side lengths 7 24 and 25 as shown below Use these lengths to find tan A sin A and cos A A 24 C 25 7 B tan A sin A cos A 0 0 0

The cost of renting tuxes for the Choral Society s formal is 27 down plus 89 per tux Express the cost C as a function of x the number of tuxedos ren C x Use your function to answer the following questions a What is the cost of renting two tuxes b What is the cost of the second tux c What is the cost of the 4 098th tux d What is the variable cost What is the fixed cost What is the marginal cost

a Determine the missing amounts for three different situations 1 2 3 A Direct Materials Used 41 800 57 900 Direct Labor Used 62 900 78 000 Factory Overhead 52 500 143 000 114 000 Total Manufacturing Costs 299 000 313 000

Lopez Corporation incurred the following costs while manufacturing its product Materials used in product Depreciation on plant Property taxes on store Labor costs of assembly line workers Factory supplies used a Compute cost of goods manufactured Cost of goods manufactured 127 700 63 100 7 740 116 700 29 600 Advertising expense Property taxes on plant Delivery expense Sales commissions Salaries paid to sales clerks 48 000 Work in process inventory was 14 700 at January 1 and 17 400 at December 31 Finished goods inventory was 63 200 at January 1 and 45 900 at December 31 15 000 25 000 36 000 58 100

All societies face a trade off between efficiency and equality If the government lowers income taxes on Americans in the top one percent of earners while decreasing welfare payments to citizens with incomes below the federal poverty threshold the most likely result is in equality in the United States in efficiency and Match each definition to its appropriate concept Definition When a society gets the most it can from its scarce resources Equality O Efficiency

Polynomials Level 1 Jan 17 8 05 19 AM Watch help video Simplify the expression to a polynomial in standard form x 1 x 6x 4

P Q R S Mathematics II for the Biological and Health Sciences Tutoria board My courses SC MATH1507 M N O P Q R S Mathematics II for the Biological and Health Sciences Tutorial Assignments and Test Page Winter 2023 Online Assignments Assignment 1 on 9 r saved d out of question As a car accelerates it does not accelerate at a constant rate rather the acceleration is variable The quadratic function a t 0 70t 1 44t 10 44 describes the acceleration in seconds Compute the average value of a t to estimate the average acceleration between t 0 and t 32 2 seconds Round your answer to five decimal places Answer 21 1

2 Use a table of values to estimate the value of the limit Sketch your table showing at least six appropriate inputs and outputs to five decimal places that lead to your conclusion lim x 0 x 16 4 X

Jan 15 11 58 20 AM Watch help video Express as a trinomial 2x 9 3x 4

Watch help video Use the box method to distribute and simplify 3x 4 3x 5 Drag and drop the terms to the correct locations of the table 3x 4 3x 5

Jan 15 9 14 47 AM Watch help video Subtract 5x 7x 2 from 5x 7x 2

Answer the following a Find an angle between 0 and 360 that is coterminal with 900 b Find an angle between 0 and 2 that is coterminal with Give exact values for your answers a 180 b 2 8 radians 00 X J S 12 7

A spinner has 6 equally sized slices numbered from 1 to 6 Some are white and some are grey as shown below 5 6 1 4 3 2 Answer the following questions Write each answer as a fraction The wheel will be spun and will stop on a slice at random a What is the probability that the wheel stops on a slice with a number less than 5 b What is the probability that the wheel stops on a slice with a number less than 5 given that the wheel stops on a grey slice 0 00 X

Which of the following government activities is motivated by a concern about efficiency Check all that apply Instituting laws against driving while intoxicated Providing some low income people with vouchers that can be used to buy food Prohibiting smoking in public places Regulating cable TV prices Imposing higher personal income tax rates on people with higher incomes Breaking up Standard Oil which once owned 90 of all oil refineries into several smaller companies The market failure causes by the concentration of oil refineries by Standard Oil is known as

3 The sum of a geometric series 7 14 28 3584 is 8 marks

2 On the first day of the month Michael places 1 cent in a jar The next day he places 3 cents in the jar The third day he places 5 cents in the jar and so on for 30 days What amount will be in the jar at the end of the month 8 marks

1 How many terms are in the sequence 3 6 12 24 48 1536

1 Consider the following hypothetical hourly wages for a group of De Anza students 15 79 14 53 16 28 15 31 13 04 15 25 16 81 13 86 15 40 15 45 15 87 14 00 15 63 16 87 Mean vs Median Which is better Huh 14 37 14 91 14 97 14 75 14 20 15 18 15 58 13 53 15 93 16 22 a Construct a 4 or 5 class histogram on a separate page for the above data Make sure to label and scale x and y axes b Describe the shape of the distribution c Hypothesize how the mean and the median compare considering the shape of the distribution d Compute the mean and the median e If you were discussing what is the typical wages that De Anza students is earning would it matter which measure you would report

Subject verb agreement is a grammatical term that describes when a writer uses subjects and verbs that match each other in both number singular or plural and person first second or third Choose the correct verb to complete the sentence below eager to start their first year of college All of the students are Ois

Match each definition with the correct term a prewriting technique where the author lists multiple ideas as he or she thinks of them not considering one more than another until all ideas are captured audience the first version of a writing that will undergo rewriting additions and editing before it is submitted a preliminary plan for a piece of a writing often in the form of a list the process of carefully searching a writing draft for mistakes at the sentence and word level in order to correct spelling grammar and punctuation mistakes Choose Choose final draft rough draft editorial board proofreading brainstorming outline the group of people a writer expects to read a text Choose

To tie two events passages or pieces of information together in a smooth way writers make use of transitions or transitional words Which of the following are examples of transition words Choose all that apply consequently until similarly furthermore unless