Basic Math Questions and Answers

Given a line passes through point 10 y Question Help Message instructor D Post to forum Submit Question Question 11 Given the points 4 5 and 0 5 on a line find the equation of the line y Question Help Message instructor Post to forum Submit Question 0 1 pt2 98 Det Question 12 0 1 pt 298 De 1 and passing through 8 1 Write your equation in the form

AB B Air pressure at this location is considered low pressure As air reaches higher altitudes the temperature decreases until the dew point is reached C D As air moves up in altitude the temperature of the air decreases Warm moist air is less dense than cooler air and begins to rise Order for the Blue Copy Series of Factors 1st 2nd 3rd Order Letter 4th

d the equation in terms of c of the line through the points 2 4

t a factory workers are draining a large vat containing water The water is being drained at a constant rate The table below shows the amount of water in at after different amounts of time Time minutes 15 20 25 30 Water liters 590 500 410 320 Answer the following questions a How much water was in the vat when the workers started draining it liters b Choose the statement that best describes how the time and the amount of water in the vat are related Then give the value requested As time increases the amount of water in the vat decreases At what rate is the amount of water in the vat decreasing liters per minute As time increases the amount of water in the vat increases At what rate is the amount of water in the vat increasing liters per minute 8 08 X

Question 16 Suppose that the world s current oil reserves is R 2060 billion barrels If on average the total reserves is decreasing by 18 billion barrels of oil each year answer the following A Give a linear equation for the total remaining oil reserves R in billions of barrels in terms of t the number of years since now Be sure to use the correct variable and Preview before you submit R B 15 years from now the total oil reserves will be Submit Question billions of barrels C If no other oil is deposited into the reserves the world s oil reserves will be completely depleted all used up approximately years from now Round your answer to two decimal places Question Help Video Message instructor

For each function below identify the Slope and Vertical Intercept Write your numerical answers as whole numbers or reduced fractions Write your intercepts as ordered pairs Write DNE if a slope or an intercept Does Not Exist Function Slope Vertical Intercept 10y 2x 8 y 8 y 6 Y 3 4 I 3 I

Determine the type of distribution center and spre mean and five number summaries minimum first quartile median third quartile maximum Round as needed Use your results to compare the two distributions Part C An investment firm holds shares of many companies including XYZ Company The firm has determined that the stock prices of these companies are normally distributed with a mean of 5 54 and a standard distribution of 0 12 If a share of stock in XYZ Company has a price of 5 65 calculate a z score for this price What does this z score tell you about how XYZ Company s shares compare to the rest of the firm s holdings

Stocks and bonds are bought and sold on a stock market Usually the goal of a person who buys stock is to hold shares of stock for a period of time and then sell them for more than the purchase price You can use statistics to analyze stock prices and make decisions based on your findings 1 The tables below show the closing price in dollars per share of stock in XYZ Company for the first 12 weeks of two successive years Last year Week Stock Price This year Week Stock Price 1 5 34 1 6 00 2 5 40 5 41 2 3 5 95 3 4 4 5 5 50 5 42 5 92 5 80 5 5 81 6 5 55 5 55 6 7 5 75 7 8 5 57 8 5 75 5 75 9 5 70 9 10 5 65 10 11 5 66 11 12 5 68 12 5 64 5 52 5 40 5 03 Part A What is a statistical question you could ask that could be used to compare the data What is a statistical variable that is common between both data sets Is that variable categorical or quantitative Explain

the following two lines Line 3 y x 3 Line 4 x 6y 18 The slope of Line 3 is m The slope of Line 4 is m Finally which of the following is true Select an answer Select an answer Line 3 is parallel to Line 4 Line 3 is perpendicular to Line 4 Line 3 is neither parallel nor perpendicular to Line Consider the following two lines Line 5 y 5 3x 1 Line 6 y x 7

2 1 Evaluate each power without a calculator 10245

Visualize It Complete the flow map using the words with a What can you do products ones as tens Multiplying What can you use Use and mental math Use Understand Vocabulary Complete the sentences What are some examples 3 x 48 3 x 50 150 12 ones 1 ten 2 ones 1 The states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products 2 A number that is multiplied by another number to find a product is called a 3 A method of multiplying in which the ones tens hundreds and so on are multiplied separately and then the products are added together is method

9 14 ones ten ones

Identify and interpret the function s minimum O The function s minimum is 100 at x 0 This implies the object is 100 feet above sea level when it is fired O The function s minimum is 147 at x 1 7 It implies the firework will reach its minimum height of 143 feet 1 7 seconds after it is fired O The function s minimum is 0 at x 4 75 It implies the firework will fall to the ground 4 75 seconds after it is fired O The function s minimum is 0 at x 4 65 It implies the firework will fall to the ground 4 65 seconds after it is fired Johan ran some maintenance programs on a server The following graph models available RAM on the server from the moment those programs started running until the moment they completed running Available RAM in Percentage AY 30 20 10 0 12

Question 1 of 11 Webserver Hit Requests in thousands AY 12 10 8 6 72 4 2 0 1 2 3 4 5 6 7 Hours since 8 00 AM 2018 WGU Powered by GeoGebra 8 x Identify its maximum and interpret its meaning in this context O The function s maximum is approximately 10 5 at x 4 25 It implies the web server has a maximum hft request of 10 500 which happens at 12 15 p m O The function s maximum is approximately 10 9 at x 4 25 It implies the web server has a maximum hit request of 10 900 which happens at 12 10 p m The function s maximum is approximately 10 9 at x 4 15 It implies the web server has a maximum hit request of 10 900 which happens at 12 09 p m

Do Two numbers x and y add to 16 The product of x and y is x 16 x What choice of x and y gives a maximum product Give your answer in the form of a comma separated list Express numbers in exact form Use symbolic notation and fractions where needed x y

Which property of addition of whole numbers is illustrated 0123456789 5 O Associative property O Additive identity property Commutative property

Use the table below to answer the following questions Be sure to show your work a Calculate the crude mortality rate in Alaska per 100 000 persons b Calculate the crude mortality rate in Florida per 100 000 persons c In 2 3 sentences offer at least one possible reason that the states crude mortality rates may be different Number of deaths Number of deaths due to cancer Population Florida Alaska 136 752 2 450 5 621 370 14 540 000 630 000

3 Determine an equation for the tangent to the curve y 3x 6 4x 7 at x 1 2

Choose the correct answer Most sites are registered to non profit organizations and while their intentions may be legitimate they tend to be biased O com O org O web

3x 5y 12 2x y 5 Ry

1 9 19

Distribute Date 10 02 2023 Due Date 10 05 2023 1 Determine the moist and dry unit weights of the soil in lb ft w 0 182 G 2 67 S 80 2 For the given information on a sandy soil what will be the moist unit weight of the compaction in the field if D 78 and w 9 Give your answer in kN m 0 75 emin 0 46 G 2 68 emax

What is the delay time in seconds between x t cos 2xt 20 and y t sin 2 t 10 Answer A 0 12 B 0 33 C 0 5 D 0 66 E None of these

5 2x 3x 9 6 6x 15x

What is the Fourier series of the square wave shown below 1 5 1 0 0 5 0 0 0 5 1 0 1 5 0 2 3

Assume that five men and five women are to sit in a row of ten chairs In how many ways can these people sit if all men must sit together and all the women must sit together Use the fundamental counting principle To apply this principle first identify the separate tasks involved in making the seating arrangements There are different ways IE

The following figures show stages 0 1 and 2 of the construction of a figure called Sierpinski s carpet Note that to go from one stage to the next the center square is removed from each square in the figure How many shaded squares will there be in the carpet in stage 6 How many shaded squares will there be in the carpet in stage 6 Stage 0 Stage 1 Stage 2

A pin tumbler lock has a series of pins each of which must be positioned at the proper height to allow the lock to open The security of the lock is determined by the number of pins in the lock as well as the number of different possible lengths for the pins Inserting the proper key in the lock aligns the pins properly and allows the interior of the lock to be turned If a pin tumbler lock has eight pins each of four different lengths how many different keys should be tried in order to guarantee that the lock could open To guarantee that the lock could open keys should be tried

A computer interface for a digital studio piano has nine microswitches that can be set in either the on or off position These switches must be set properly for the interface to work Answer questions a and b a In how many different ways can this group of switches be set different ways ACCOB

A college debate team is participating in a tournament in state A They will fly from state B to state C then to state D and finally to state A If there are 4 possible flights to state C 3 from state C tc state D and finally 4 from state D to state A in how many ways can they schedule the trip How many ways can they schedule the trip

Susan s friends Vicki Luis Maddy Todd Ron and Geri have volunteered to help with the preparations for a party How many ways can Susan assign someone to buy beverages someone to arrange for food and someone to send the invitations Assume that no person does two jobs How many ways can Susan assign her volunteers ways www

In an experiment on social interaction 7 people will sit in 7 seats in a row In how many ways can this be done There are ways

A game uses an 11 sided die Determine the number of possibilities of rolling the 11 sided die twice There are possibilities of rolling an 11 sided die twice

Using only the given lines joining the labeled points how many triangles are there in this figure Hint List all triples of the form ABC ABD ABE and so on and see which ones could be the vertices of triangles There are B E triangles D

9 Find the compact trigonometric Fourier series for the following periodic signal shown below Sketch the amplitude and phase spectra 15 points 20 T 22 TC 1 TC 2 T 2T

Assume you are rolling two dice the first one is red and the second one is green Use a systematic listing to determine the number of ways you can roll a total of 6 on the two dice In how many ways can you roll 6 ways X BJ

A role playing game uses a die that has four sides numbered 1 2 3 and 4 How many branches would a tree diagram have that shows the way two four sided die could be rolled The tree diagram would have branches www

1 point Simplify 10 1 1 TA

6 1 point Simplify a 4xy 24 32 x 8x y and then evaluate for x 2 and y 3 c 4x y 48 b 40x y 320 d 4x 216

7 1 point Which power is equivalent to 6547 1 65 b 65

b Use the same equation to find the normalized correlation between a cosine and a square wave as shown in the figure below 10 points x y 0 8 0 6 0 4 0 2 0 0 2 0 4 0 6 0 8 1 VM 0 0 5 Time sec 1 5 2

10 1 point The equation M a A 120 2 N A 120 9 can also be written as b A 120 2 C A 60 2 d A 60 2

12 1 point Simplify 4x 36x z4 3yz 4x z Jua

3 1 point Simplify 32 N M b 1 16 44 d 16

6 1 point a 625 625 625 is equal to b 15 C 25 d

nt 3x 3x WIL is equivalent to b 3x6 3x d 27x

Question 5 swer y t A 0 123 0 6 0 4 1 4 1 2 0 8 0 2 1 5 15 20 25 t sec A periodic signal has the waveform shown in the figure above where y t for the first cycle is defined as 10 y t e 4 y t e 4 The mean value of y t is closest to which of the following LEASE REMEMBER TO SHOW ALL WORK THAT LEADS TO YOUR ANSWER B 0 245 D 0 487 for 0 t 4 for 4 t 8 C 0 250 01 09 E None of the these

d d E Consider F w a complex function of a real variable w F w 2 jw 3 j4w a Express F w in Cartesian form and its real and imaginary parts 5 points b Express F w in polar form and find its magnitude F w and angle ZF w 5 points DDR

8 Consider the following equation x 1 y 1 dt a Using the above equation show that the correlation between sin 2nt and cos 2 zero 10 points

2 Consider a periodic signal shown below 7 6 X2 1 1 1 2 1 5 3 2 a Find the fundamental period of this signal b Consider following two signals xi t and x2 t obtained from the above signal find their corresponding Fourier transforms x t 1 x 1 0 1 0 1 2 3 4 56 7