Basic Math Questions and Answers

A typical glass of wine contains about 22 grams of alcohol Consider a 92 pound woman with approximately 5 liters 5000 milliliters of blood who drinks two glasses of wine Complete parts a and b below a If all the alcohol were immediately absorbed into her bloodstream what would her blood alcohol content be Round to two decimal places as needed 100 mL Note that a blood alcohol content BAC of 0 08g 100mL is the legal driving limit in the U S A BAC at or above 0 4g 100mL usually leads to coma or death Explain why it is fortunate that in reality the alcohol is not absorbed immediately Choose the correct answer below OA It is fortunate because any amount of alcohol consumption can impair brain function OB It is fortunate that alcohol is not absorbed immediately because this blood alcohol content is above the legal limit for driving and is a dangerous level of intoxication OC It is fortunate that alcohol is not absorbed immediately because although this blood alcohol content is below the legal limit it will impair brain function OD It is fortunate that alcohol is not absorbed immediately because this is a lethal concentration of alcohol and is far beyond the legal limit b Again assume all the alcohol is absorbed immediately but now assume her body eliminates the alcohol through metabolism at a rate of 12 grams per hour What is her blood alcohol content 3 hours after drinking the wine 9 100 mL Is it safe for her to drive at this time Explain Round to two decimal places as needed OA It is safe to drive Her blood alcohol content is lower than it was three hours ago OB It is not safe to drive This is over the legal limit OC It is safe to drive Although is it above the legal limit it is still pretty close

A typical glass of wine contains about 22 grams of alcohol Consider a 92 pound woman with approximately 5 liters 5000 milliliters of blood who drinks two glasses of wine Complete parts a and b below a If all the alcohol were immediately absorbed into her bloodstream what would her blood alcohol content be g 100 mL 1 19 Round to two decimal places as needed Note that a blood alcohol content BAC of 0 08g 100mL is the legal driving limit in the U S A BAC at or above 0 4g 100mL usually leads to coma or death Explain why it is fortunate that in reality the alcohol is not absorbed immediately Choose the correct answer below OA It is fortunate because any amount of alcohol consumption can impair brain function OB It is fortunate that alcohol is not absorbed immediately because this blood alcohol content is above the legal limit for driving and is a dangerous level of intoxication OC It is fortunate that alcohol is not absorbed immediately because although this blood alcohol content is below the legal limit it will impair brain function OD It is fortunate that alcohol is not absorbed immediately because this is a lethal concentration of alcohol and is far beyond the legal limit b Again assume all the alcohol is absorbed immediately but now assume her body eliminates the alcohol through metabolism at a rate of 12 grams per hour What is her blood alcohol content 3 hours after drinking the wine Round to two decimal places as needed g 100 mL Is it safe for her to drive at this time Explain OA It is safe to drive Her blood alcohol content is lower than it was three hours ago OB It is not safe to drive This is over the legal limit OC It is safe to drive Although is it above the legal limit it is still pretty close

The current I in amperes flows through a particular ac alternating current circuit at time 7 seconds is I 220 sin 55 t What is the period of the current

Complete parts a through c below a A warehouse is 62 yards long 28 yards wide and 8 yards high What is the area of the warehouse floor If the warehouse is filled to half its height with tightly packed boxes what is the volum of the boxes b A room has a rectangular floor that measures 26 feet by 15 feet and a flat 6 foot ceiling What is the area of the floor and how much air does the room hold c A grain silo has a circular base with an area of 180 square feet and is 21 feet tall What is the total volume a The area of the warehouse floor is 1736 yd2 Type an integer or a decimal The volume of the boxes in the warehouse is Type an integer or a decimal b The area of the floor is ft2 Type an integer or a decimal The amount of air the room can hold is Type an integer or a decimal c The volume of the grain silo is Type an integer or a decimal ft ft yd

Cramers method TO H02 0 2j VX 306 vy 0 2 0 04 0 015 x A A Val 11 7 28 D vy E B F P B B A B ED BF AP BC 0 2 0 554 33 7 V

a 8m 33 57

What is the present worth at time 0 of an annual investmet of 5 000 that begins in year 5 and extends through year 12 8 years of investmet at 5 interest O 26 586 O 34 987 O 19 769 22 798

An engineer deposits 500 per month into an account that pays interest at 6 per year compounded semi annually twice a year How much will be in the account at the end of 10 years Assume NO interperiod compounding 60 000 70 510 75 890

If a company wants to have 1 200 000 in a contingency fund 30 years from now the amount the company must deposit each years in years 1 10 at an interest rate of 6 is O 22 750 28 386 56 712

We are going to buy a new machine for 400 000 It will have a salvage value in 5 years of 75 000 At an interest rate of 6 what is the annual worth of this machine 81 165 O 83 999 90 678 97 768

A company had a before tax profit of 2 500 000 what was their after tax PROFIT Tax Rate 309 O 2 500 000 O 1 650 000 O 850 000 O 625 000

What is the annual worth in the following example Joes pizza parlor Initial cost 400 000 Annual income 275 000 Salvage value in 6 years 500 000 Joe expects the value to increase Interest rate 8 O 248 665 O 246 750 256 632 O 284 664

What is the depreciation amount in year three for the following example using MACRS A new machine is purchased for 500 000 it will cost an additional 150 000 to set it up and make it functional It has a salvage value of 100 000 It will be deprciated over a 5 year schedule 124 800 130 000 97 000 85 000

An engineer buys his first house he pays 300 000 for it and takes out a 30 year loan What will his payments be at 6 annual compounded monthly 30 years 360 months O 1 200 1 400 O 1 600 1 800

What is the present worth of an investment that starts at 6 000 in year 1 and increases by 6 per year for 10 years at 6 interest 10 years total cash flows O 38 768 42 056 33 001 56 603

An alternative for replacing the need for my electric company has a first cost of 5 500 and annual cost of 500 This system will allow me to save the 2 500 per year that I am currently paying for my electric bill What is my payback time at 0 interest 1 5 years 2 years 2 5 years O 2 75 years

you loan your friend 1 500 today and she gives you 2 250 back in four years what is your rate of return on this loan O Between 7 8 O Between 9 10 Between 10 11 O Between 11 12

What is the break even quantity in the following example in terms of number of pieces Fixed cost 4 000 000 Sales price 10 00 Variable cost 3 60 O 575 00 pieces 625 000 pieces O 658 00 pieces 695 000 pieces

Mike s shoe store had sales last year of 4 000 800 He had cost of goods sold of 1 800 000 He had nothing to depreciate What was Mikes Profit before tax O 5 801 500 O 4 000 800 O 2 200 800 O 1 800 700

A sorority and a fraternity join forces to host a car wash Each car washed will generate 10 00 revenue Each car washed will cost 1 50 for soap water and towels To host the car wash your organizations rented a parking lot for 250 00 for the day You wash 50 cars how much profit did you make O 100 00 O 125 00 O 150 00 O 175 00

You are studying 35 players on the Toronto Maple Leafs You assign each player a number and use a computer to randomly generate one number You use this randomly generated number as a starting point You then select every 3rd player until you have 10 players to study You identify each of the 10 players position on the team and ask them to numerically rank their puck handling skills Question 33 1 point Listen A Identify the size of the population in this study only put number

3 6 What is the only x 0 for which the statement below could be true If eggs cost xc a dozen less then it would cost 1 less for x 1 eggs than if eggs were xe a dozen more JU EGG SALE

mplete the following using compound future value Use the Table provided ce Do not round intermediate calculations Round your final answers to the nearest cen Time 3 years Principal 15 600 Rate 8 Compounded Quarterly Amount Interest

22 A ball is thrown upward from the top of a building to the street below The ball s height in feet is given by the equation h t 16t 48t 67 where t is time measured in seconds What is the maximum height of the ball A More than 150 feet B Between 125 and 150 feet C Between 100 and 125 feet D Between 75 and 100 feet E Less than 75 feet

4 The number of monthly active Facebook users worldwide in millions between the year 2009 and the year 2017 can be modeled approximately by the function f t 2 12x 27 43x 301 48x 180 4 where t is time in years since 2009 Use the graph of this model to determine in the middle of what year the number of monthly active Facebook users reached 1 000 000 000 A Middle of 2011 B Middle of 2012 C Middle of 2013 D Middle of 2014 E Middle of 2015

13 The concentration of a certain drug in mg L can be modeled by the following function C t 5t e08 where t is the number of hours after the drug was administered The drug is effective if its concentration is greater than 1 2 mg L Use the graph of the function to determine the interval of time when the drug is effective A 0 0 31 D 0 31 00 B 3 26 00 E 0 31 3 26 C 0 00

4 An item is originally priced at P dollars but is placed on sale at a discount of 20 off What is an expression for the final sales price F P A F P 80P D F P 1 20P B F P 0 20P E F P 0 80P C F P 20P

9 The height of a leaf above the ground after it falls from a tree is given by the formula s t 4 1t 52 6 where time is given in seconds and height is given in feet above the ground Use the graph of the function to determine when the leaf would land on the top a person s head if the person was seated on the ground under the tree and their head was 3 2 feet above the ground The amount of time is A Between 3 5 and 3 6 seconds B Between 3 4 and 3 5 seconds C Between 3 3 and 3 4 seconds D Between 3 2 and 3 3 seconds E Between 3 1 and 3 2 seconds

20 Determine the x intercepts of f x 2x 12x 8 The largest x intercept is A 3 5 0 B 12 5 0 C 3 4 5 0 D 12 4 5 0 E None of these

51 Using the definition argue that the vectors 2 8 0 are linearly independent to setup the normal a b 3 2 1 4 PA

15 Write the equation of the line passing through the points 3 7 and 1 19 A y 3x 2 B y 6x 25 C y 3x 2 D E y 3x 16 y 6x 11

8 Which one of the tables below represents y as a function of x A B C D E X y y X y X y x y 2 5 2 5 2 5 2 5 5 2 2 3 1 3 1 3 2 3 3 1 2 3 1 5 1 3 2 5 5 1 2 5 2 3 2 5 2 3 3 2

7 Determine the domain of R x x 9 x 8 A 8 00 B 8 8 00 C 00 8 8 9 9 D 9 9 00 E 8 00

2 Write an equation for a graph with the following transformations Vertical stretch by 65 units Shifted up 77 units Shifted right 10 units

6 Determine the domain of h x 5 2x A D 5 00 0 B E 0 00 C

5 Let f x 2x 5x 1 Evaluate f a 3 A f a 3 2a 17a 34 C f a 3 2a 5a 34 E f a 3 2a 11a 25 B f a 3 2a 17a 4 D f a 3 2a 5a 4

42 A B C s f rdan ve birbirinden farkl rakam olmak zere sadece A B ve C rakamlar ile olu turulan rakamlar birbirinden farkl t m basamakl do al say lar n toplam 3552 dir Buna g re A B C toplam ka t r The sum of all three digit natural numbers whose numbers are different from each other consisting of only the numbers A B and C with A B C being three digits that are nonzero and different from each other is 3552 So what is the sum of A B C A 12 B 14 C 16 D 18 E 20

CA x ve y iki basamakl do al say lard r x y 40 e itli ini sa layan ka tane x say s vard r 751 7 OS A 48 B 49 HOCA yo C 50 28A D 51 ASKANT isl E 52

Write a polynomial with degree 4 that has a zero at a 4 i 2 and a zero at x 3 with a multiplicity of two Write the function using only integers P x

Use the Venn diagram to find n B U C n B U C Type a whole number U 4 A 4 9 9 12 7 10 C 15 B

Find the mean median and mode for the following frequency distribution X 3 4 6 7 8 9 10 f D 3 9 2 1 8 2 3 This question 1 point s possible Find the mean Select the correct choice below and fill in any answer boxes in your choice OA The mean is Round to two decimal places as needed OB There is no mean for this distribution Find the median Select the correct choice below and fill in any answer boxes in your choice OA The median is Type an integer or a decimal B There is no median for this distribution Find the mode Select the correct choice below and fill in any answer boxes in your choice OA The mode s is are Type an integer or a decimal Use a comma to separate answers as needed OB There is no mode for this distribution

20 rotation 90 counterclockwise about th origin A D Ay W G X

This question 1 point s possible Find the monthly payment R needed to have a sinking fund accumulate the future value A The yearly interest rate r and the time t in years are given below Interest is compounded monthly A 10 000 r 7 5 t 4 R S Round up to the nearest cent

This question 1 point s possible Consider a game in which a player rolls one die If an odd number comes up the player wins the number of dollars showing on the die If an even number comes up the player loses the number of dollars showing on the die Calculate the expected value for this game Is the game fair Assume that there is no cost to play the game The expected value of this game is dollars Type an integer or a decimal Is this game fair OO No Yes C Submit test

THIS Specify the number of ways to perform the task described Give your answers using P n r or C n r notation The key in recognizing whether a problem involves permutations or combinations is deciding whether order is important A hot sauce bar has 11 varieties You are going to select 9 to taste but you do not care about the order in which you taste them The number of ways to perform the task is Do not evaluate

Using the unpaid balance method find the current month s finance charge on a credit card account having the following transactions Last month s balance 760 Last payment 290 Annual Interest rate 15 Purchases 457 Returns 770 The finance charge is Round to the nearest cent This question 1 point s

Question 6 Find the 12th term of the arithmetic sequence 10 6 2 Answer

The speed of a runner increased steadily during the first three seconds of a race Her speed at half second intervals is given in the table Find lower and upper estimates for the distance that she traveled during these three seconds ft smaller value ft larger value t s 0 0 5 1 0 1 5 2 0 2 5 3 0 v ft s 0 6 7 9 2 14 1 18 8 19 4 20 Ed Moccage instructor

Find the following information for the function f x graphed below Enter DNE in the answer blank if it does not exist A 17 c Domain d Range fo S a 3 TN 4 2 3 a Vertical Asymptote S b Horizontal Asymptote e Interval s of Increase f Interval s of Decrease 2 5

Find the indicated probabilities using the geometric distribution the Poisson distribution or the binomial distribution Then determine the ever Fifty seven percent of parents would give up cable television to have their child s education paid for You randomly select five parents Find the probability that the number of parents who would give up cable television to have their child s education paid for is a exactly two b less than four and c at least three a P 2 Round to three decimal places al places needed needed b P less than four Round to three decimal places as needed c P at least three Round to three decimal places as needed Which of the events are unusual Select all that apply A The event P 2 is unusual B The event P less than four is unusual C The event Plat least three is unusual D None of the events are unusual GLIDE