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Mathematics Questions and Answers March 19, 2023

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Let gcd(10, n)=1 , and let r be the smallest positive integer for which 10^r congruent to 1 (modulo n) (a)Prove that 1/n has a recurring decimal expansion with period r. (b)If n is prime, prove that r|(n-1). (c)Find the periods of 1/13, 1/17, 2/31, and 1/47.

Indicate what must be done to each side of the equation in order to isolate the variable. x + 5.9 = 21.6 A) Subtract 5.9 B) Add 21.6 C) Add 5.9 D) Subtract 21.6

If $2000 is invested at an interest rate of 3.5% per year, compounded continuously, find the value of the investment after the given number of years. 3 years, 6 years, 18 years

The factors that affect the visibility of poweredtwo-wheelers (PTWs)long dash motorcycleslong dash on the road were investigated in a study. A visual search study was conducted in which viewers were presented with pictures of driving scenarios and asked to identify the presence or absence of a PTW. Of interest to the researchers is the

I need help solving this math problem. Will you please assist me? Apaint-ball gun ball hopper contains 7black balls, 9white balls, and 16yellow balls. A ball is fired from the gun. What is the probability that the ball fired from the gun is yellow ? The probability that the ball fired from the gun is yellow is

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You read an article that states, "Of the 411 players in the National Basketball Association, only 138 make more than the average salary of $3.12 million." Is $3.12 million the mean or the median salary? Explain the answer please.

Although many dierent levels of condence have been used, (17) and (18) are the most prevalent. Condence intervals are more narrow or precise when standard error is smaller. Since standard error is reduced when sample size is increased, the larger the sample size, the more precise the condence interval. In the behavioral science, hypothesis tests
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A supporting wire is to be attached to the top of a31foot antenna. If the wire must be anchored31 feet from the base of the antenna, what length of wire is required? A.Approximately 62.1 feet of wire is required. B.None of these. C.Approximately 1922.1 feet of wire is required. D.Approximately 31.5 feet of wire is required. E.Approximately 43.8

I have two matrices, assuming all variables are greater than 0. How to quickly know whether the real parts of the eigenvalue is positive or negative? \f\f
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How much pay does Mr. Johnson receive if he gives half of his pay to his family, $250 to his landlord, and has exactly 3/7 of his pay left over?

17 . Suppose you have obtained from SPSS the correlation matrix in Appendix 1 . According to the information in this matrix , which two variables exhibit the strongest linear relationship
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This is Analysis. Please don't forget to justify for every part. Problem 6: True or false? Justify Your answer. a) If M is the maximum value of f, then |M| is the maximum value of | f | b) If M1 is the maximum value of f and M2 is the maximum value of g , then M1 + M2 is the maximum value of f + g. c) If M1 is the minimum value of f and M2 is the
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25. In regard to moving averages, it is considered to be a signal When market price breaks through the moving average from A. bearish; below B. bullish; below C. None of the options D. bullish; above
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Find the solution of the system of equations 4x + 3y = 1 and y = -2x + 5 algebraically for x and y using the substitution method. Write solution as an ordered pair and check your solution in each original equation Find the solution of the system of equations x + 2y = 5 and 7x + 3y = 46 algebraically for x and y using the elimination method. Write

calculate the monthly payment for a student loan of $42,434 at a fixed apr of 7% for 10 years?

3. Sketch the graph of each of the following dierenoe equations; 3) yn+1 : _1-5yn + 5: yo 2 3 b) yn+1 2 51;\" + 6, ya = 12 4. Suppose that the yearly interest rate on a mortgage is 6.25% compounded monthly and that you can a'ord to make payments of $950 per month. How much can you aord to borrow in order for the loan to eventually be paid off?
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Gross prot 3'? 500 Less: Operating expenses Wages of counter staff $ 18 000 Consumables (cg. cups and straws) 6 000 Utilities (allocated) 4 350 Depreciation of counter equipment and furnishings __ Depreciation of building (allocated) _- Super Scooper manager's salary (allocated) __ Loss on fresh fruit juice counter __ Required: (a) Evaluate Saln's
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What is the diameter of a round duct if the flow rate is 1000 CFM and the velocity pressure is 2.25 inches of water gauge? Compute velocity pressure using the formula: V= 4005 x VP, where V= velocity, feet per minute (fpm) VP = velocity pressure, inch in water gauge Compute cross sectional area of a circular duct using formula: AREA = r 2 ;

Question 2. All info is attached. Thank you ............................... \f
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Help me to find the volume of the figure. I need help Expressing the answers in terms of (pie), and then rounding to the nearest whole number. Find the volume of the gure. Express answers in terms of 11:, then round to the nearest whole number. Express the volume of the gure in terms of at. El E (Type an exact answer in terms of 1:.) Evaluate the
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Questinn 4: The with-it. sise nf Canadian males is reported ta be mutually distributed with a mean cf 36.33 inches and a standard dcviaticn ef 21.02 inches. a. A Canadian man is randentdy selected. What is the prehahility that his waist size is less than 33 inches? in. What is the waist size that is exceeded by 90% cf Ncrth American males? e. A
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Factor the polynominal completely 27x 6 -6x 4 -30x 2 35x 5 y+45xy 3 3y-33+xy-11x x 2 +x-72 10x 2 -19x+6 25x 2 -9

Flag this Question Question 13 2 pts A soup company puts 12 ounces of soup in each can . The company has determined that 970 of cans have the correct amount . Which of the following describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled C 1 = 36 P 0 . 97 , * = 1 1 = 12 p =
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I need help with number 1? Please make sure to include all the details because I don't understand it \f
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In a certain presidential election, 38% of voting-age Americans actually voted. In our town of 200,000, 40% of voting-age citizens voted. What are the z -score and standard deviation? (Round the z -score to one decimal place and the standard deviation to four decimal places.) This is how I had done it: the Median is 100,000, the Mean is 100,000 as

Solve the problem. After a new product is launched the cumulative sales S ( t ) (in $1000) t weeks after launch is given by: S ( t ) = What is the limiting value in sales? Select one: a. $47,000 b. $6,000 c. $64,000 d. $8,000

Quesun 4 When managers have little or III} nwnership in the rm, they are less likelyr to work energeeally fur the enmpany's shareholders. We [all this type at conict a [n]
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77) A computer company employs 100 software engineers and 100 hardware engineers. The personnel manager randomly selects 20 of the software engineers and 20 of the hardware engineers and questions them about career opportunities within the company. Does this sampling plan result in a random sample? Simple random sample? Explain. A) Yes; no. The
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A body is cooling in surroundings maintained at Its temperature after t minutes is given by: d t d ( ) = k ( 1 0 ) ,where k is a constant.If the temperature of the body is initially (a)Find k (b)Find the body's temperature after further 15 minutes. Thank you.

Find all real values of x such that (x) = 0 for(x) = 42 - 6x

the problem 5 ) The scrap value of a machine is the value of the machine at the end of its useful life , One method of calculating the scrap value is given by s - C ( 1 - In where C is the original cost n is the useful life of the machine in years , and it is the constant annual percentage of value lost Find the scrap value for a machine that
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Candy purchases a new guitar costing $5,500. She put down 15% and finance the rest for 3 years through the store. The store will charge her 10% per year compounded quarterly. What are her quarterly payments? How much is her down payment? Identify the type of problem. A company would like to have $400,000 in 6 years. How much should be invested

the distance from home plate to dead center field in a certain field in a certain baseball stadium is 405ft.a baseball diamond is a square with a distance from home plate to first base of 90ft. how far is it from first base to dead center field? 347.2ft 330.1ft 472.9ft or 382.6ft

let us consider a modified game of Nim: on each turn a player may remove some number of pebbles from one pile or split this pile into two piles. Compute the Grundy function for this game for all the initial states with one pile

how could I come up with 5 ordered pair solutionsusing this problem? y=3x-5

How Can a business Gain A Competitive Advantage Over other Competitors in the market?

JnlppS manufactures Circmt ooaros In UIVISIDn a in a country With a 50% Income tax rate and transrers ;hem to Division B in a country with a 40% income tax. An import duty of 15% of the transfer price is paid Jn all imported products. The import duty is not deductible in computing taxable income. The circuit Joards' full cost is $1,000 and
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solve the differential equation y'' - y = 2e^x/e^x+e^(-x)

22 . Given that X has the probability distribution f ( x ) = 18 ( 3 / x ) for x = 0 , 1 2 and 3 find the moment - generating function of this random variable and use it to determine uI and M 2 a ) O b ) 312 C ) 112 D )
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I am having trouble getting the initial equation right. please help! \f
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1. Which nancial institution is not involved in the indirect method of nancial intem'lediatiun? _ n Investment bankers Mutual funds _
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(a) Show that cycling occurs when solving the problem using the simplex method. (b) Use Brand's Rule to terminate cycling and obtain an optimal solution, if one exists. 8. Minimize z = x1 + 7x2 + :4:3 + 2x4 subject to xl+ x2+ X34\" x4+x5 = l 11 5 5x17x25x3+9x4 +x6 -0 l 3 1 5x1\" 5x25x3+ 34 +x7=0 XII-20, j=1,...,7 (due to K. T. Marshall and J. W.
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{h} Campute the revised probabilities needed to eemplete the decisidn, and piece these 1.relues in the decisien tree. {5] What is the best decision for Jim? Use EM'u' es the decisien criterion
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1)Tanya has a triangular garden bed in her back yard.The measure of the largest angle is 15 less than three times the measure of the smallest, and the measure of the middle angle is 35 more than the measure of the smallest angle.Find the measures of the three angles.

write a polynomial f(x) that meets the given conditions. degree 5 polynomial with zeros -4 and 5/3 (each with multiplicity 1) and 0 (with multiplicity 3)

Q2. (a) Using the data in cp34_sma.xfs estimate the following wage equation with least squares and heterokedasticityrobust standard errors: images] = a + gar) UC + 53};me + await? + gs/r1353 >
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Write the equation of the line with a slope of- 8 and passing through the point (0, 0).

Un August 6 , your firm , which uses the perpetual method , orders $ 450 of inventory FOR shipping point Freight is $50 . On August 24 , the merchandise arrives and you romil $500 For this transaction , you will
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Let be the set of all calendar dates from 4/30/1789 to 9/25/2014. Let be the set of names of U.S. presidents. Let be the set of names of first ladies of the U.S. Consider the following two functions where is the name of the president of the U.S. on date (the incumbent on inauguration days, to avoid ambiguity) and where is the name of the first

Find the solution to the given differential equation that satisfies the given conditions (d^2y/dx^2) - 9 (dy/dx) + 14y = -10 - e^x

Evaluate the piecewise defined function f(x)= { 1-x if x < 1 3x if x _>_ 1 (a) f(0) = (b) f(2) = (c) f (-3) =

Hi, ******I need help with this question, I do not how get the right the answer. \f
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Let p and q represent the following simple statements. p: You are human. q: You have hooves .Write the following compound statement in symbolic form Being human is necessary for not having hooves qv~p

The coordinate plane below represents a city. Points A through F are schools in the city. \f
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Suppose you place 16 green, 25 blue, and 9 yellow marbles in a non-transparent bag. You then randomize the marbles by shaking them up thoroughly. Assume you then randomly select two marbles from the bag without replacement.What is the probability of selecting two blue marbles? 1 out of 2 8 out of 25 12 out of 49 9 out of 50

The average annual tuition and fees at all 4-year institutions in the US in 2002 was $12,200 and in 2010 was $ 23,800.Let y be the average tuition and fees in the year x, where x = 0 represents the year 2002. a) Write linear equation, in slope-intercept form, that models the growth in average tuition and fees at all 4-year institutions in the US

A small business owner contributes $ 1000 at the end of each quarter to a retirement account that earns 6 % compounded quarterly. (a) How long will it be until the account is worth $150,000? (Round your answer UP to the nearest quarter.) quarters (b) Suppose when the account reaches $150,000, the business owner increases the contributions to

A randnm sample Inf 11:?55 US cell phnne users age 13 and older in May 2011 found that the average number nf text messages sent nr received per day is 41.5 messagesf'r' wii standard ems-r ahnnt 5.1. {a} State the pnpulatinn and parameter at" interest Use the infnrmatinn frnm the sample tn give the best estimate hi the population parameter. {b}
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(WITHOUT RESTRICTIONS OPTIMIZATION) 1) The monthly incomes of a travel agency are INCOME(x,y)= -x^2-frac{y^2}{2}+xy+8x+3y+20, which depends on the amount of money invested in marketing 'X' and the number of employees hired 'Y'. Determine the amount of money or quantity that the travel agency should spend in marketing and how many employees should

I do not know how to write the code for this assignment can you help me Write a MATLAB code to create the Natural Cubic Spline . The code will use the MATLAB built in backslash operator to solve the system As = 6 Another useful command is : zeros ( n ) Modify your code to find the Clamped Cubic Spline Use your code to form both the natural and the
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MATH 233 Unit 5 Individual Project In this IP assignment, you will have a choice between two different Unit 5 IPs. Complete only 1 of the following two assignment choices. Unit 5 IP Assignment Choice 1 The Internet is defined as a worldwide interconnection of individual networks operated by governments, industries, academia, and private parties

1) Consider the initial value problem (d^2y)/(dt^2)3dy/dt4y=0,y(0)=a,y(0)=5 (a) Find the solution of the initial value problem: y(t)=.................?................... (b) Find a so that the solution approaches zero as t a=...............?..................

I successfully solved part a however, I became very confused in part b since the angles are different for z2. What are you supposed to do with that ? thanks \f\f
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Pi. Create a aet at 5 paints that am very cinae tngether and record the standard deviation. Next, add a sixth paint that is far away frntn the nriginal 5 and remand the new StdI deviatinn. What is the impact at the new paint an the stande devian'nn? Dn not just give a numerical value far the Change. Explain in Sentence form what happened tn the
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13. An independently tamed tncwing company wants tcr have enaugh mane}; ta purchase a new tractortrailer in 4 years. If the unit will cast rn.u.25,, haw ranch shauld the cc-tnpanj; set aside each year if the accc-unt eaIns was per gram
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Hallar la function de function o function compuesta f[g(x)] y la g del problema siguiente; Una tienda que desea promover sus ventas anuncia una rebaja en articulos de un 40%. La function que describe es f(x);0.6x Tambien anuncia otra rebaja de $60 a cada articulo que cumpla ci function que refleja esta rebaja es g(x) = x -60 Haga la composicion de

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putf(x)=x 4 +5x 3 6x 2 4x+8in factored form please using long division by finding the root and the factor and so on please show every step and why you did it

I need to Formulate two application (real-world) problems that can be solved with a system of equations in either 2 or 3 variables. The problem statement has to be sure to include all of the information necessary to write down the governing system of equations. Using your problem statements, set up and solve the system of equations for each of

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find the degree of the polynomial function with real coefficients satisfying the given conditions. n=3; 5 and i are zeros; f(-3) = 60

Lagrangian duality in finding an optimal solution. Thanks! Let Co . C1 , C 2 , CK ER " and ri 12 K ER. Consider the optimization problem BK min /20 - call ? ( PK ) 8 . t . 1/20 - cil 1 2
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SHAW l2'.a|;lahilit.r Production Document KPPs. REM, and Additional Attributes .5 (600 meters) .B( Meters) .5 (200 Meters) .5 (200 Meters) .45(250Me1ets) .55 (259 Meters) Iansiontime: Carrytore 15W
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13.2 6 A.Rewrite the following logarithm equation into exponential form. log 0.01 = 2 7 B. Rewrite the following logarithm equation into exponential form. log 2 ( 8 ) = 3

Price and cost (dollars per ton) S=MC+tax=MSC 9 2 4 6 8 | 0 Quantity (tons per month) 44. The gure above shows a tax imposed on a good with an external cost. The area of the rectangle abcd equals a. the M33. b. the total tax revenue collected by the government. c. the amount of pollution tax per ton. d. the MC
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4. Write the equation of a circle with a center at (0, 8) and a radius of 9. Show all work. Please type in answer instead of writing on paper and scanning. Thanks!

Determine whether the statement is true or false. { x | x is a day of the week starting with the letter T } is {Saturday, Sunday} . Is the statement true or false

Solve the equation.Check your solutions.Input your answers from smallest to largest.Input any fractions as in this example: - would be input as -1/2 \f
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8. [T PointslThe graph belon-r shows the average price per gallon of gasoline in the United States in January for the period from 20215 through 2m 1. Average January Gasoline Price in the United States $3.25 Average Price per Gallon H 21105 EDIE 20D? 2011-3 2on9 new 2011 Year Source: L15 Energy Information Administration a. For which years was the
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please help me with this question so i can help my daughter Graph the following function. Check your result using a graphing calculator. x+3, forxs -4. O, for 4
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Hi , can someone tell me how the graph might look like based on the question below . Thank you. "Given a weighted graph G = (V, E) and an integer d, does there exist a pair of subtrees T1 = (V1, E1) and T2 = (V2, E2) of G, such that V2 = V \ V1 (i.e. each vertex of G is in either T1 or T2), and the weight of the two trees sum to at most d"

answer for question 4 look at the graph and complete the table [Pad @ 6:36 PM E learn.umuc.edu >3 27% 3. Translate this sentence into a mathematical equation. The weight M of object on Mars varies directly as its weight E on Earth. 4. Look at the graph of the quadratic function and complete the table. Graph Fill in the blanks (a) State the vertex:
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How to part d f and i the questions? I am unaware how to solve the relational algebra \f
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A large corporation has five divisions. Two of the divisions had earnings of $ 2,300,000 each. The other three divisions had a loss of $ 1,650,000 , a loss of $ 630,000 , and a gain of $ 1,850,000 , respectively. What was the net gain (or loss) of the corporation for the year? How much net gain?

4. Bertha historically makes 4 out of 5 "bulls eye" in archery. She takes 8 shols. a. Find the probability that she has success in making exactly 5 bulls-eye. 'r'our nal answer should be correct to 3 places after the decimal point. The probability is b. Find the probability that she has success in making at least one bulls eye. Your nal answer
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1.a)Prove that if S is a connected subset of the metric space (X, d) then its closure S- is also connected. 1.b)Let X be an infinite set and d be the discrete metric. Determine, with proof, the connected sets in the metric space (X, d).

How do you find the hypotenuse of a right triangle?

D. Find any x - intercepts and interpret what they mean in the context of the
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Advanced Mathematical Decision-Making Modeling a Ferris Wheel Project As you ride the Ferris wheel, your distance from the ground varies sinusoidally with time. When the last seat is filled and the Ferris wheel starts, your seat is at the position shown in the figure at the right. Let t be the number of seconds that have elapsed since the Ferris
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Problem 6 {Seltzer}: According to the most recent data from Beverage Marketing Corp, American's con- sumption of settzer jumped approximately 36% over the five year ended in 2013. Seltzer is simply carbonated water, but it is sugar and calorie free. The beverage is benefiting from renewed interest from people who are increasingly favoring sugar
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Suppose you have $1,000 to invest. You can either invest in a cd that yields an 8% simple interest, or in a cd that yields a 6% interest is compounded quarterly. Which investment will yield a greater return at the end of one year? Show work to prove your answer.

(a) In Economic Poll of Problem A in Ch. 2 homework, recall you obtained frequency and % frequency distributions for the Political Party.Do this again, this time with PivotTable.It should have format like this: Political PartyFrequency% Frequency Democrat Republican Independent We will figure out which party is most pessimistic about the economy

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Suppose U R^n is open and f : U R. Define f has a local minimum at c local minimum and prove, if f has a local minimum at c and f is differentiable at c, then Df(c) = 0.

3.2. In a binomial experimcm with :1 trials, 3.: can take: on any at\" n values
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given the equation below, find four ordered pair solutions by completing the table, showing all work. then use the ordered pairs to graph the equation. use the grid below. 2x+3y=12 x y 0 4 0 6

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