Basic Math Questions and Answers

assign6 Problem 20 1 point Let a 8 6 7 and b 3 6 8 be vectors Compute the following vectors b 000 A a b B 0a 000 C a b 0 Dal

1 point Let u 5 3 3 3 and 4 1 Find the vector that satisfies 8u v 4x w In this case

1 point Suppose 3 0 5 and 3 5 3 Then u v u v vu 2u 2u 4v

1 point What is the vector between the point 10a 36 and the point 5a 106 Answer

Your task is to create your own Carnival Game similar to the Pick Up Ducks game Research the types of games that are played at a Carnival Remember games at a carnival are based on chance not skill Come up with a theme for your Carnival Game and include the amount to play the game and the prizes associated with the game Also the percentage probability of winning a prize should be different do not make all or probabilities equal Class comments

5 26 Future value of an annuity In 10 years you are planning on retiring and buying a house in Oviedo Florida The house you are looking at currently costs 100 000 and is expected to increase in value each year at a rate of 5 percent annually Assuming you can earn 10 percent annually on your investments how much must you invest at the end of each of the next 10 years to be able to buy your dream home when you retire

You can get a car loan with a term of three years at an APR of 6 If you can afford a monthly payment of 330 how much can you borrow Round your answer to the nearest cent

On Friday Charlie starts reading a book with 450 pages and he reads 4 of the pages How many pages does Charlie have left to read

In the absence of immunization a certain disease is contracted at an average age a If b percent of the population is immunized at birth then the average age at which the disease is contracted is given by 99a A 100 b We think of a as a constant so A is a function of b Find the vertical asymptote for A Express numbers in exact form Use symbolic notation and fractions where needed Give your answer in terms of b vertical asymptote Wh contracting the dicence

ed k 3 ces Kinkaid Company was incorporated at the beginning of this year and had a number of transactions The following journal entries impacted its stockholders equity during its first year of operations Transaction a b C d Cash Common Stock 25 Par Value Paid In Capital in Excess of Par Value Common Stock Organization Expenses Common Stock 25 Par Value Paid In Capital in Excess of Par Value Common Stock Cash Accounts Receivable Building General Journal Notes Payable Common Stock 25 Par Value Paid In Capital in Excess of Par Value Common Stock Cash Common Stock 25 Par Value Paid In Capital in Excess of Par Value Common Stock Required 2 How many shares of common stock are outstanding at year end 3 What is the total paid in capital at year end 2 Number of outstanding shares 3 Total paid in capital Debit 260 000 150 000 44 000 16 000 82 600 146 000 Credit 230 000 30 000 126 000 24 000 59 800 52 800 30 000 79 000 67 000 Check my w

1 point Consider the following Gauss Jordan reduction 24 3 1 0 0 0 Find E E2 87 1 6 0 24 3 01 0 0 0 0 1 E A E3 10 3 0 1 24 0 E E A 00 00 Write A as a product A E E E E of elementary matrices 7 1 6 EA 1 0 8 1 0 0 1 6 100 0 0 1 EE E A 0 I 1 0 0 EEEEA

f The elementary matrix E6 multiplies the third row of B by 3 E6 E g The elementary matrix E7 switches the first and third rows of B E7 E7 h The elementary matrix Es adds 3 times the third row of B to the second row of B Es

1 point Solve for the matrix X if AX D BX C Assume that all matrices are n x n and invertible as needed X Preview My Answers Submit Apew

Let X A Give an example of two 2 x 2 matrices A and B neither of which is the identy matrix I such that AB X 6 1881 188 B

2 5 points A baseball player s batting average is the number of hits H divided by at bats AB Jeff Squirrel enters the last game of the season leading the league with an average of 326 174 H 533 AB Use linearization or differentials to estimate the effect on batting average of a hit in the next at bat versus an out Compare these estimates with the actual change

Match each graph to one of the following functions Select the function for each graph from the given options

problem A projectile is thrown upward so that its distance above the ground after t seconds s h 1212 528L After how many seconds does it reach its maximum height 44 s 11 s 22 s 33 s

A ball is thrown vertically upward from the top of the building 144 feet tall with an initial velocity of 128 feet per second The distance 8 in feet of the ball from the ground after t seconds is S 144 128t 16t2 After how many seconds does the ball strike the ground O 8 sec 9 sec 145 sec 11 sec

Solve the inequality x2 3x 4 4 00 1 4 1 or 4 0 1

If a rocket is propelled upward from ground level its height in meters after t seconds 9 8t 68 6t Use the graph below to determine is given by h t during what interval of time will the rocket be higher than 98 m Ah 132 110 88 66 44 22 0 0 5 t

The manufacturer of a CD player has found that the revenue R On daris p 10o when the unit price is p dollars If the manufactures sets the price to maximize revenue what is the maximum revenue to the nearest whole dollar 118 810 59 405 475 240 237 620

What is the domain of the function O 6 U 6 O 6 0 O 6 6 O 36 f x 36 All real numbers

Use the given figure to solve the inequality f x g x y f x 5 5 C y g x X

Find an equation for the line with the given properties The solid line L contains the point 1 4 and is perpendicular to the dotted line whose equation is y 2x Give the equation of line L in slope intercept form C

Which of the following transformations of y f x x x 4 4 5 Horizontal shift 4 units left and vertical shift 5 units down Horizontal shift 4 units right and vertical shift 5 units down Horizontal shift 4 units right and vertical shift 5 units up Horizontal shift 4 units left and vertical shift 5 units up

At the beginning of summer a maintenance crew refills the swimming pool at a city park After 4 hours the pool holds 5 200 gallons of water What is the unit rate What is the slope Is there a difference between unit rate and slope Show your work AND explain your thinking 4

The Greek World Before Alexander 314 City or town GREECE S ON Pression of MAINAN ASIA MINOR Which of the following does this map of Greece illustrate Ancient Greece had extensive road systems that connected the entire empire Traders used caravans to travel across the vast deserts of Greece Greece did not trade with any other nations Greeks used sailing to support trading networks

A modified bingo card is shown in the figure The numbers 1 14 are found under the letter B 15 26 under the letter I 27 40 under the letter N 41 55 under the letter G and 56 75 under the letter O The center space on the card is labeled FREE How many different columns are possible under the letter B Hint the order in which the numbers are found in each column is important in bingo There are different possible columns under the letter B BINGO 7 24 37 53 67 4 19 33 55 66 10 18 FREE 43 63 16 30 51 60 2 1 23 27 48 57

Here is the sales slip from Sharon s shopping trip Receipt Toothpaste Book Wallet Game Total Before Tax Amount of Tax 3 45 8 95 5 50 5 95 2 Total Bill 25 52

Olivia made a scaled copy of the following triangle She used a scale factor greater than 1 11 units What could be the height of the scaled copy of the triangle 18 units 35 units 3 units 2 11 1 units

3 Given these new points what transformation occurred What rule was applied Original Point New Point 6 4 6 4 5 6 5 6 7 6 6 8 2 In what quadrant is this shape in 7 6 6 8 4 What line segments are corresponding w TU

3 HE H E Sa pada p E 5 6 6 4 6 8 7 6 Period Using the image given answer the following questions 1 If given the translation rule T x 8 y 2 what are the new points of this shape Original Point 6 4 T X 8 y 2 5 6 T x 8 y 2 7 6 T x 8 y 2 6 8 T X 8 y 2 2 In what quadrant is this shape in Rule New Point 3 Given these new points what transformation occurred What rule was applied

A kite is flying 10 ft off the ground Its line is pulled taut and casts a 9 ft shadow Find the length of the Une If necessary round your answer to the nearest tenth S 10 9

The editorial staff at a magazine company is reviewing 17 articles They wish to select five for the next issue of the magazine and must also decide in what order the stories will appear If it takes 1 minute to write a list of five articles selected for the magazine how many years would it take to write all possible lists of five articles Assume 60 minutes in an hour 24 hours in a day and 365 days in a year It would take year s to write all possible lists of five articles Round to the nearest whole number as needed

Use the fundamental counting principle The editor of the Video Gamer is selecting 7 video games from 12 possibilities to review in his online column One will be the featured game and the other 6 will be covered in less detail and in no particular order In how many ways can he make his selection There are ways the editor can make his selection Simplify your answer Type a whole number

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 In order to open your garage door you must enter a two digit code on a keypad with numbers 0 9 Each number may not be used more than once and the order that you enter the numbers is important The number of ways to perform the task is Do not evaluate

Measurements 7 12 mg 6 1 mg 7 06 mg 100 5 mg 110 mg 6 cm 8 3 cm 103 g 1 1 g 5 ft 52 ft 6 3 cm 3 cm 101 mg 25 mg 98 1 mg 10 mg 65 5551 g 2 g 1000 mi 10 mi Sum or Difference Before Rounding 20 28 mg 210 5 mg Least Accurate Measurement s 6 1 mg 110 mg Answer Rounded to Correct Place 20 3 mg 210 mg

Find the number of combinations 10 objects taken 6 at a time There are combinations

K Evaluate the expression C 11 4 C 11 4

To measure linear correlation between a set of bivariate data which of the followings must be true Both quantitative O First quantitative second qualitative O First qualitative Second quantitative O Both qualitative Question 32 The linear model relating hurricanes wind speed to their central pressure is given as 4 pts

A study or an experiment where the conclusions are to be drawn relative to a future population is called Retrospective Enumerative Study O Analytical Study O Designed study

As the value of correlation coefficient increases from 0 to 1 how do the points of the scatter plot fit the regression line O They would scatter away from the line They fall in verticle line They would cluster closer to form a straight line There is no determinable relation

A certain brand name of gasoline and gas millage efficiency can be categorized as what type of data O Multivariate both qualitative O Multivariate one qualitative one quantitative Bivariate both quantitative Bivariate one qualitative one quantitative

Question 31 3 To measure linear correlation between a set of bivariate data which of the followings must be true Both quantitative O First quantitative second qualitative O First qualitative Second quantitative O Both qualitative

The number of advertisements on a one hour television show is what kind of data O Continuous O Nominal O Qualitative O Discrete Question 6 2 pt A study or an experiment where the conclusions are to be drawn relative to a future population is

Which graphical display shows the median and data spread about the median Obox and whisker plot Histogram Pareto chart Frequency polygon

b 1 41441444 to a percent rounded to the nearest tenth of a percent

Prepare journal entries to record each of the following four separate issuances of stock No A B Following are the issuances of stock transactions 1 A corporation issued 4 000 shares of 20 par value common stock for 96 000 cash 2 A corporation issued 2 000 shares of no par common stock to its promoters in exchange for their efforts estimated to be worth 47 500 The stock has a 2 per share stated value 3 A corporation issued 2 000 shares of no par common stock to its promoters in exchange for their efforts estimated to be worth 47 500 The stock has no stated value 4 A corporation issued 1 000 shares of 50 par value preferred stock for 97 500 cash Transaction 1 2 Cash Answer is not complete General Journal Common stock 20 par value Paid in capital in excess of par value Common stock Organization expenses Common stock 2 stated value Paid in capital in excess of stated value common stock Debit 96 000 47 500 Credit 8 000 x 16 000 completion 4 000 43 500 Return to q

Rodriguez Corporation issues 19 000 shares of its common stock for 212 500 cash on February 20 Prepare journal entries to record this event under each of the following separate situations 1 The stock has a 10 par value 2 The stock has neither par nor stated value 3 The stock has a 5 stated value View transaction list Journal entry worksheet A B C Record the issue of 19 000 shares of 10 par value common stock for 212 500 cash Transaction Note Enter debits before credits General Journal Debit Credit

Ace Trucking Company has an order for delivery of three products A B and C The table gives the volume in cubic feet the weight in pounds and the value for insurance in dollars for a unit of each of the products If the carrier can carry 16 400 cubic feet and 16 700 pounds and is insured for 78 700 how many units of each product can be carried Volume cu ft Weight lb Value Product A 24 40 150 Product B 40 30 190 Product C 80 60 300 Select the correct choice below and fill in any answer boxes within your choice A There is one solution The company can carry 683 units of Product A 410 units of Product B and 205 units of Product C OB There are infinitely many solutions If the company carries z units of Product C then the company can carry OC There is no solution units of Product A and units of Product B