Basic Math Questions and Answers

Listen A school playground is in the shape of a rectangle 140 yards long and 60 yards wide If fencing costs 14 per yard what will it cost to place fence around the playground 1 16 800 2 5 600 3 8 400 4 2800

Determine drug dosage by patient s weight For each kilogram of a person s weight 15 milligrams of a drug is to be given What dosage should be given to a person who weighs 240 pounds Use 1 pound 0 45 kg 1 3 600 mg 2 1 620 mg 3 26 67 mg 4 8 000 mg

If 1 mile 5280 feet use dimensional analysis to convert 4 9 mi to ft 1 17 463 ft 2 25 872 ft 3 0 00093 ft 4 1077 55 ft

If the total cost function for producing x lamps is C x 1000 38x 0 4x2 dollars producing how many units x will result in a minimum average cost per unit units Find the minimum average cost per unit

A company needs 350 000 items per year It costs the company 1 680 to prepare a production run of these items and 13 to produce each item If it also costs the company 1 50 per year item stored find the number of items that should be produced in each run so that total costs of production and storage are minimized items run

A function and its graph are given Use the second derivative to determine each of the following Check your results against the graph shown Rx x 6x 2x 12 f x N 2 5 10 Determine the interval on which the function is concave up Enter your answer using interval notation 6 Determine the interval on which the function is concave down Enter your answer using interval notation Locate the point of inflection If an answer does not exist enter DNE x y

Suppose that the demand x in units for a product is x 4 500 50p where p dollars is the market price per unit Then the consumer expenditure for the product is E px 4 500p 50p For what market price will expenditure be greatest

If f x f x 9x8 what is f x Remember the constant of integration

Evaluate the integral Check your answer by differentiating Remember the constant of integration 13 0 dx

Consider the function Find g x g x Find g x 9 x g x 3x 5x 14x 4 Find g 1 and g g 1 Determine whether the function g x is concave up or concave down at the indicated points a x 1 concave up concave down Terrific b x concave up O concave down

16 Determine all the Euler and Hamiltonian circuits in the following graph Explain why your circuits meet the required criteria Clearly denote the number of each type of circuit present in the graph D E F B

the graph to answer the question Approximately how many more red cars than yellow cars were sold Cars Sold in Thousands 40 30 20 10 White Yellow Tan Red Black Silver 50 000

Suppose that the given statements are true Find the other true statements a True statement If the bike is fast then Yoko sleeps on the floor Which statement must also be true choose one b True statement If the play is a success then Keiko likes the milk shake True statement The play is a success Which statement must also be true choose one V c True statement If I liked the poem then Lucy prefers black to red True statement If Lucy prefers black to red then the passports are missing Which statement must also be true choose one

A pendulum bob swings through an arc 60 inches long on its first swing Each swing thereafter it swings only 72 as far as on the previous swing What is the length of the arc after 7 swings Round to two decimal places OA 6 02 inches O B 4 33 inches O C 259 20 inches O D 8 36 inches

An airplane is heading north at an airspeed of 800 km hr but there is a wind blowing from the southwest at 30 km hr The plane will end up flying 1 292 degrees off course The plane s speed relative to the ground will be 800 25 x km hr X

Which of the following options best describes the form of the following argument 1 If it s raining then we will need an umbrella 2 We don t need an umbrella Therefore 3 It s not raining outside Affirming the antecedent Denying the consequent

A rectangular holding tank is x 1 meters deep x 2 meters long and 2x 1 meters wide Find the dimensions of the tank with a volume of 2m

QUESTION Which continent is pictured in the map below

Given 186 7 g of BaSO4 answer the following Show work for full credit Just writing the answer even if correct will not earn full credit 1 How many moles of barium sulfate is there u molecules of barium sulfate is there

Question 22 options 0 95 0 52 0 27 None of these Question 23 1 point Which type of annuity question is this Dale takes out a loan of 4500 If interest on the loan is 6 compounded semi annually what would his payments have to be to pay off the loan in 7 years I Question 23 options Future value solve for F Future value solve for R Present value solve for P

Question 19 options 0 9858 ml 1 01 mL 115 5 mL 887 22 mL Question 20 1 point Convert 379 decimetres into hectametres Question 20 options 0 0379 hm 0 379 hm 37 9 hm Question 21 1 point The y axis of a scatterplot is always labeled with Question 21 options percent the independent variable

5 Consider the statement This poll is accurate to within 3 the following statements is FALSE The results of the survey could range from 3 below to 3 above the actual findings A margin of error of 3 exists It can be assumed that the entire population was polled 6 Two variables have a strong negative correlation Which of the following is FALSE The line of best fit has a negative slope Most data points lie close to the line of best fit The trend of the data exhibits an irregular decline The dependent variable decreases as the independent variable increases 7 When evaluating 5 0 the answer is 1 0 5 1 8 A simplified expression 15n 5m n2 2 x 3 m n would be

1 When two sides of a right angle triangle are known the best way to find the third side is to use SOH CAH TOA The Cosine Law the Pythagorean Theorem the Sine Law 2 The student council randomly surveys all of the Grade 9 classes to determine what music to play at the next dance The results would be biased because the entire school must be surveyed the sample is not random the sample is not representative of the entire population 3 Which change would INCREASE the amount of interest paid over the life of a mortgage Renewing the mortgage at a lower interest rate Making an extra payment once a year Choosing a shorter amortization period Switching from weekly payments to monthly payments 4 A relationship involving two continuous variables would be graphed with a bar graph histogram scatter plot circle graph I

Question 16 options Semi annually Quarterly Monthly Question 17 1 point An 128GB iPhone costs 699 99 in 2016 The next year the cost of the iPhone was 629 99 The percentage change is Question 17 options 90 10 10 Question 18 1 point I A school cafeteria hands out a survey to 200 students to determine which items to add to the menu What is the population being represented Question 18 options Only the students that buy food that day Only the students that go home for lunch

The amount of 3D space that an object occupies is known as its Question 13 options surface area perimeter volume area Question 14 1 point Quadratic functions have Question 14 options first differences that are different second differences that are multiples of eachother first differences that are constant first differences that are different second differences that are the same Question 15 1 point Exponential functions have Question 15 options first differences that are different second differences that are onstant first differences that are different second differences that have an increasing or

Study the graph that shows the relationship between the national debt of a country and time Which statement below best represents the graph National Debt National Debt of a Country Time As time increases the national debt decreases The growth of the national debt is quadratic The national debt is growing exponentially

The primary trigonometric ratios SOHCAHTOA are applicable for triangles where Question 10 options there is a right angle All of the above Question 11 1 point To the nearest degree the solution to sin 0 0 475 is Question 11 options 1 28 48 Question 12 1 point Which of the following is NOT an example of an imperial measurement Question 12 options Foot Pound

Consider array declarations on a 64 bit machine as follows a char myArray1 10 6 b char myArray2 10 6 c char myArray3 10 6 d char myArray4 10 6 e char myArray5 10 6 Answer each questions below for each array declaration a Does the declaration compile If no why not b How many bytes would the declaration allocate c Would there be a potential bad pointer reference If yes why

A plane leaves Metro Airport on a bearing of 38 flying 1 3 hr at 110 mph It then turns and flies 1 5 hr at the same speed on a bearing of 128 to land at Gotham Airp Draw the described picture How far apart are the two airports to the tenth of a mile

A set of identical twins can only be distinguished by the characteristic that one always tells the truth and the other always lies One twin tells you of a lucky number pai When I multiply my first lucky number by 3 and my second lucky number by 6 the addition of the resulting numbers produces a sum of 64 When I add my first lucky number and twice my second lucky number the sum is 20 Which twin is talking Choose the correct answer below the twin who always tells the truth lian

hes construct a line chart of the data and identify the characteristics of the time series that is random stationary trend seasonal or cyclical a Click here to view the data for the closing stock prices b Click here to view the data for the unemployment rates c Click here to view the data for the new car sales d Click here to view the data for the housing starts e Click here to view the data for the prime rate Closing Price A 000 140 130 120 0 5 Day 10 A seasonal B random C trend D cyclical E stationary Q Closing Price B 140 A 130 Identify the characteristics of the time series Select all that apply 120 5 Day 10 OC 140 130 120 0 5 10 Closing Stock Prices Date 9 7 2010 9 8 2010 9 9 2010 9 10 2010 9 13 2010 9 14 2010 9 15 2010 Q Q IBM 125 95 126 08 126 36 127 99 129 61 128 85 129 43 k O Closing Price D A 140 130 120 0 5 10 G G C X

The table below gives the color and cost of light bulbs that were sold at a certain store These are the only light bulbs that the store sold Color Cost 5 Red Yellow Purple Green White 3 6 3 2 Complete parts a through c below Assume that any light bulb mentioned was sold at the store a Write the following biconditional statement as a conditional statement and its converse Biconditional statement A light bulb was green if and only if the light bulb cost 3 Conditional statement Converse If Choose one then Choose one If Choose one then Choose one b Use the table to determine the truth value of the conditional statement and its converse The conditional statement is Choose one The converse is Choose one c Determine the truth value of the biconditional statement The biconditional statement is Choose one V

Solve the formula for n 3n nc C n W w cc 3 cc 1 X

Solve A 2 error 2A b bh 2 for h

A job requires three types of materials called A B and C The cost of A is 6 per unit the cost of B is 9 per unit and the cost of C is 3 per unit The labor required is 34 hours plus an additional hour for each unit of A that is needed and an additional 2 hours for each unit of B that is needed The labor cost is 24 per hour Write a mathematical expression for the cost of the job using the letters a b and c to reffer to the number of required units of A B and C respectively 34 a 26 X

For each of the time series construct a line chart of the data and identify the characteristics of the time series that is random stationary trend seasonal or cyclical a Click here to view the data for the closing stock prices b Click here to view the data for the unemployment rates c Click here to view the data for the new car sales d Click here to view the data for the housing starts e Click here to view the data for the prime rate a Construct a line chart of the closing stock prices data Choose the correct chart below OA Closing Price A 140 130 120 0 5 Day 10 A seasonal B random C trend D cyclical E stationary SOU Q OB Closing Price A 140 130 120 0 Identify the characteristics of the time series Select all that apply 5 Day 10 Q O C Closing Price A 140 130 120 Closing Stock Prices Date 9 7 2010 9 8 2010 9 9 2010 9 10 2010 9 13 2010 9 14 2010 9 15 2010 IBM 125 95 126 08 126 36 127 99 129 61 128 85 129 43 D Closing Price D 140 130 120 X O

A mean average of 60 on seven exams is needed to pass a course On her first six exams Sheryl received grades of 51 72 73 59 69 and 75 Answer parts a d a What grade must she receive on her last exam to pass the course Sheryl must receive a score of or more on the last exam to pass the course Type a whole number GILD b An average of 70 is needed to get a C in the course Is it possible for Sheryl to get a C If so what grade must she receive on the seventh exam Assume that the exams do not have any ex credit questions Sheryl would need a score of to get a C Since it possible to get a score of Type whole numbers c If her lowest grade of the exams already taken is to be dropped what grade must she receive on her last exam to pass the course If Shery s lowest grade of the exams already taken is to be dropped she must receive a score of Type a whole number d If her lowest grade of the exams already taken is to be dropped what grade must she receive on na C possible to eam a or greater on her last exam to pass the course her last exam to get a C in the course If Shery s lowest grade of the exams already taken is to be dropped she must receive a score of or greater on her last exam to get a C in the course Type a whole number

Determine whether the argument is valid or invalid You may compare the argument to a standard form or use a truth pvq P q Is the argument valid or invalid O Valid O Invalid KILP

p q and r represent the following simple statements is snowing outside he job pays well he taxes are high te the symbolic statement in words q p Dose the correct answer below A If the taxes are not high then the job does not pay well and it is snowing outsi B If the taxes are high then the job pays well and it is snowing outside C If the taxes are high then the job does not pay well and it is not snowing outs D If the taxes are not high then the job pays well and it is snowing outside

Venn diagram shown to list the set An C in roster form 10 12 13 18 Ancy Use ascending order Use a comma to separate ar

Determine whether AB A A Saturday Tuesday Monday Wednesday B Saturday Wednesday If none of thes Which of the following are true statements Select all that apply BCA BCA A B ACB ACB

Choose the correct answer below OA E 30 31 32 33 86 OB E 30 31 32 33 OC E 30 31 32 33 85 OD E 29 30 31 32 OE E 29 30 31 32 86 OF E 29 30 31 32 85 a

Fill in the blanks below with the correct units a Salma s shoe weighs about 11 ounces b The length of a new pencil is abo c John baked a cake The recipe re ounces pounds

The number of Bedrooms of homes in a certain community is shown on the table below Find the cumulative distribution for the table Use a value of 6 to stand for 6 or more bedrooms Number of Bedrooms Percent Cumulative 4 11 28 34 14 8 1 0 1 2 3 4 5 6 or more median Find the mean median and mode for the table If an answer does not exist enter DNE Round your mean to two decimal places mean bedrooms bedrooms

Suppose that the annual rainfall in Ferndale California is known to be normally distributed with a mean of 35 5 inches and a standard deviation of 2 5 inches About what percent of the years will it rain more than 36 inches in Ferndale You may need to use the standard normal distribution table Round your answer to two decimal places

A package of Toys Galore Cereal is marked Net Wt 11 oz The actual weight is normally distributed with a mean of 11 oz and a variance of 0 16 a What percent of the packages will weigh less than 11 oz b What weight will be exceeded by 2 3 of the packages Round your answer to one decimal place 07

Instant Dinner comes in packages with weights that are normally distributed with a standard deviation of 0 5 oz Suppose 2 3 of the dinners weigh more than 13 2 oz Determine the z score for the weight of 13 2 oz Round your answer to two decimal places Z What is the mean weight in oz Round your answer to one decimal place Oz

A normal distribution has a mean of 85 6 and a standard deviation of 4 81 Find the data value corresponding to the value of z given Enter your answer to four decimal places z 0 75

Margin Investment Turnover and Return on Investment The condensed income statement for the Consumer Products Division of Tri State Industries Inc is as follows assuming no support department allocations Sales Cost of goods sold Gross profit Administrative expenses 230 000 000 126 500 000 103 500 000 64 400 000 Operating income 39 100 000 The manager of the Consumer Products Division is considering ways to increase the return on investment a Using the DuPont formula for return on investment determine the profit margin investment turnover and return on investment of the Consumer Products Division assuming that 143 750 000 of assets have been invested in the Consumer Products Division If required round your answers to one decimal place Profit margin 17 Investment turnover Return on investment b If expenses could be reduced by 3 450 000 without decreasing sales what would be the impact on the profit margin investment turnover and return on investment for the Consumer Products Division If required round your answers to one decimal place Profit margin Investment turnover X Return on investment

3 Ahmed used a total of 2122 27 over several months to repay a simple interest loan with a 5 interest rate that he had borrowed four years ago What was the original amount of the loan a 1697 82 b 2193 01 c 2546 72 d 1768 56