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Mathematics Questions and Answers March 20, 2023

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Show how the values are entered into your functions and also calculate the amounts of each of the following: My cable television bill increased about 8% last year.What average monthly growth rate is implied?EXAMPLE: A 2% growth rate for the year would require 1.02 = (1 + r) 12 .Solve this for r:; r = .00165 or .165% per month on average.My cable

4] In 2013 a tobacco company purchased an e-cigarette (yapingll company and later did a study on how yaping was a much healthy alternative to smoking cigarettes and encouraged people who want to quit smoking to start yaping to help. a] 1Ulle'hat type of study would haye taken place, observational or experimental? Explain your
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A flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 52m long and the shadow is 48m, how tall is the flag pole?

What is equation of a line that has a slope of 3/7 and passes through the point (3, -2). Put your final equation in standard form. What is equation of a line that passes through the points (4, 3) and (-6, 5). Put your final equation in standard form. 3.What is the equation of a line that is parallel to the y axis and passes through the point (5,

How would I go about solving the following: find the closed form expression for T(n)? T(n) = T(n-1)+n 2

Hi, I am looking for assistance on the following stochastic processes problem - Markov chains 1.9 Consider the Markov chain w:thstatespaee{1,2, .311\" 5 _1 2 n - : :1 0-1/3 2/3 0 0' 52150 0 0 1/43/4 " P: 3 0 0 0 1/21/2 4 1 0 0 0 0 5 1 O 0.00 (a) Is the chain irreducible? (b) What is the period of the chain? (C) What are
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Which of the following graphs correctly represents the inequality y - 3/4x + 2? \f
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Females' SAT Score. According to the data from the College Board, the mean quantitative SAT score for female college-hound high school seniors in 2009 was 500. Assume iat SAT scores are approximately Normally distributed with a population standard deviation of 100. What percentage of female collegerhound students had scores shove GTE? Please
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Find the domain of the logarithmic function. f ( x )=log5( x 2)^2

if the initial term is : 2 and the common difference is : 7 What is the value of a 5 ? if the sequence { d n } is defined by the following formula for n 1 d n =3+5n What is the value of d 10 ?

a bus operates in the miami international airport and miami beach, 10 miles away. It takes 20 round trips per day carrying 32 passengers per trip. If the fare each way is $11.00,how much money is taken in from one day^s operation?

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Problem 2 Suppose a waitress keeps track of her tips, as a percentage of the bill, for a random sample of 50 tables. Suppose that, unknown to her, the population mean tip percentage is 15% with a standard deviation of 4%. a) Determine the probability that her sample mean tip percentage exceeds 16.4%. (Treat the sample as if it were a random one.)
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If you are a conservative manager you should use conservative estimates and attempt to avoid overstating results for shareholders and potential investors since: 1) The market may value more conservative earnings numbers. Aggressive earnings management is unsustainable in the long run. 2) The new CEO may be shifting costs to the current period from
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trying to solve this system of equations to determine when the profit or loss from the show will be equal for each venue. What is the amount of that profit or?loss? The profit or loss will be equal for each venue after about ? weeks. ?(Round to one decimal place as?needed.) When a popular playwright opened a new play he had to decide whether to
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The count in a bacteria culture was 100 after 10 minutes and 1200 after 30 minutes. Assume the bacteria population is growing exponentially.

Please translate this expression or statement into regular english or if you would regualr words. q ( r p ) p ="You are in the bus." q ="You are in taxi." r ="You are in the car."

REQUIREMENTS OF THE CASE Task: Prepare an adiusted Income Statement and Balance Sheet. Use a statutory tax rate of 35% to record income taxes payable and income tax expense
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An open box is made from a 40 -cm by 60 -cm piece of tin by cutting a square from each corner and folding up the edges. The area of the resulting base is 2204 cm^2. What is the length of the sides of thesquares?

Let T : R 3 R 3 be the linear map defined by T(a, b, c) = (ab, 2a+c, a+b+c). Decide whether the following vectors lie in R(T), showing all your work: (i) (2,-1,-3) (ii) (1,2,3). How about T : R 3 R 3 being the linear map defined by T(a, b, c) = (a, a + b, a + b + c)?

The lengths of the two legs of a right triangle are 6 feet and 8 feet. Find the length of the hypotenuse.

The difference between the squares of two numbers is 3. Four times the square of the first number increased by the square of the second number is 17. Find the numbers

A family has two cars. The first car has a fuel efficiency of15 miles per gallon of gas and the second has a fuel efficiency of25 miles per gallon of gas. During one particular week, the two cars went a combined total of750 miles, for a total gas consumption of40 gallons.many gallons were consumed by each of the two cars that week? first car ?

I need help with this question. is this a matrices? how do you solve this? 0n the basis oi data from 1990 to 2005. the median income y in year): for men and women is approximated by the equations given below where x = I) corresponds to 1990 and y is in constant 2006 dollars. lfthese equations remain valid in the iuture, in what year will the
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The monthly revenue R achieved by selling x wrist watches is figured to be R(x) = 75x - 0.2x 2 . The monthly cost of selling x wrist watches is C(x) = 32x + 1750. Answer the following questions and incorporate your answers into a word-processed report. The sections of the report should correspond to the individual questions below. a) Find the

Let f ( x ) = x - 6 and g ( x ) =squared root of x 3 . find (f/g)

Problems 2.2, 2.9, 2.16 about control system. Please give a brief explanation about your answer. 2.2. Ednsider the med1anieal system shown in Figure 2.42. Here a} is an external fnree applied to the mass M, yt] is the displacement of the mass 1with respect tn the pnsitinn 1when the spring is related. The spling erce and frietinn force are g'wen
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Draw the line through the point (-3, -2) that is parallel to the y-axis.Write the equation of this line and state its slope. I also need the work to find the equation.

Each week, Jose earns $400 plus 5% his sales. how much he sell in order to make at least $750 in one week?

Hi, this question is about linear programming. =========== A factory can produce two types of products. Product A requires 1 unit of iron(Fe) and 2 units of aluminum (Al) Product B requires 1 unit of Fe and 3 units of Al Product A can be sold for $4 and product B can be sold for $5 The storage has 8 units of Fe and 18 units of Al. 1.Find the range

6. Dctcrrmnv: 1h: fnnwing scqucncm obtained by a Encar cmwolutinn of the sequences given in Prob lem I. (a) win] = mln] {=9 WM (b) 91\"] = ml\"! 49 Mn]
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1.what are the Elements in the Set? (A D E) {1} { 6,11,12,17,18,19,20} {1,2,3,4,5,7,8,9,10,13,14,15,16} or { x U : x 1} 2.what are the Elements in the Set? B E {5} { 12,15,16} {3,4,8,9} or { 1,2,5,15,16}

Profit P(x) can be calculated as revenue minus cost. R(x) = 55x-2x^2 C(x) = 20x+92 P(x) = - 2x^2+35x-92 Calculate the x-value that maximizes profit. A.9.75 B.17.5 C.8.75 D.13.75

The Physicians Health Study followed 22,000 male physicians for a period of several years. About 11.000 took an aspirin every second day while the rest took a placebo. At the completion of the study, it was noted whether a subject had experienced a heart attack during the period of the study. It was found that the aspirin group had significantly
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A point, (m,4), lies on the graph of the functiony= log 3 (m+2). The value ofmis

Hi, I am needing help on writing systems of linear inequalities. The first image is simply an example and shows what the solution should look like. The second is the actual problem I need help on. I came up with the solution y y>1/1x-3 But this is wrong so I need help. Dirantiun: Write: a $yr$tam uf linaar inaquarla tn repreaant each graph.
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Which of the following pilrobabilityr distributions would most lilrzelylr be used to describe the time between customer arrivals? r' Binomial distribution 4'" Poisson distribution 4': Exponential distribution r Uniform distribution r Normal distribution
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The formula A = 2rh tells us the lateral surface area A of a cylinder with radius r and height h. Solve the formula for radius, r. solve for Radius!

A 3-member committee must elect one of four candidates: R, S, T, or W. The winner is to be selected via the Borda count method and the chair will have tie breaking power. See the preference schedule below. Number of members Chair Amy Adam John First choiceR S T W Second choiceS R S T Third choiceT T R S Fourth choiceW W W R 1.) Who will win the

Given the following graph of a system of inequalities, the point (3, 2) ____________ . satisfies all inequalities and is part of the solution set satisfies only one of the inequalities and thus, is part of the solution set satisfies only one of the inequalities and thus, is not part of the solution set does not satisfy either inequality and thus,
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r-Combinations A subset of size r is called an r-subset . Counting the number of ways to choose r number of items from a set when order does not matter is called an r-combination . The counting rules for sequences and subsets are commonly referred to as "permutations and combinations". The term "combination" in the context of counting is another

A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a green marble, do not replace it, and pick another green marble?

Question 50 0 out of 2 points Refer to 58 Relationship Analysis for this question. The relationship between songs purchased and Facebook time is driven by one extreme observation
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Translate using connectives the following statement into formal logic. p ="Andy is hungry." q ="The refrigerator is empty." r ="Andy is mad." If Andy is hungry and the refrigerator is empty, then Andy is mad.

Consider the functions f left parenthesis x right parenthesis equals x cubed minus 6 f(x)=x36 and g left parenthesis x right parenthesis equals RootIndex 3 StartRoot x plus 6 EndRoot . g(x)=3 x+6. (a) Find f(g(x)). (b) Find g(f(x)). (c) Determine whether the functions f and g are inverses of each other.

Hi Tutor, Can you please help me understand the following. If f is a function that takes a real number y and performs these four steps in the order given: (1) Multiply by -2. (2) Add 3. (3) Take the square root. (4) Take the reciprocal. (That is, make the quantity the denominator of a fraction with numerator 1.) (a) Find an expression for f ( y ).

The data le W contains fuel economy data trom the U.S. Department of Energy, for 100 randomly selected 1vehicles of the 2015 model year. Please calculate the mean, median. and standard deviation of these data. Record your values in the next 3 questions. (uestion 7 (0.33 points) Input the mean. Your Answer: Question 7" options: 28.2
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Having earned a bonus at hiswork, Rick placed the money in an investment earning 6.18% compounded monthly. He withdrew $ 376 at the end of every month for the next 9 years. (a) What was the amount of thebonus? (b) If he made all of the withdrawals asplanned, how much interest waspaid?

A rectangle is inscribed in a circle of radius 6 inches. If the length of the rectangle is decreasing at the rate of 3 inches per second, how fast is the area changing at the instant when the length is 6 inches? A rectangle is inscribed in a circle of radius 6 inches. If the length of the rectangle is decreasing at the rate of 3 inches per second.
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Questian 3: The park manager wants ta knew whether it wauta' make sense ta shut dawn ane ar mare af the aperatt'ans at the Strattan Tmensht'p Park. Determine the impact of shutting dawn the gatfeaurse, the peat, the eaneert series, anaT the tours
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Review data of the expected payers that used Medicare 2003 to 2014. Predict the percentage of expected payers that will use Medicare in 2018
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Nina is seen by a high risk GE doctor. Nina is pregnant has been diagnosed with a malignant neoplasm of the right breast. Assign ICDlCH code {5)
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Please help me with the following question...picture attached as well... function based on the given parent function and the transformations in the given order. Parent function y =3 ?over the square root of x 1. Shift 9 units to the left . 2. Shift horizontally by a factor of 5 . 3. Reflect across the x -axis. \f
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3.18. If large sample sizes are used, there is less likelihood of a Type I error and a Type ll error
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Help me Evaluate the expression using the values given for the variables. 2) h 2 (j + -1 ); use h = -4, and j = -6

A snail can move i inches in m minutes. At this rate,how many feet it can itmove in h hours? A) 5hi/m B) 60hi/m C) hi/12m D) 5m/hi E) 5him

Let (s) be the following statement. If you are studying hard, then you are staying up late at night. Give the contrapositive of (s) . Please translate the above

Question 1 Suppose you have two student loans: $15,000 with an APR of 8% for 15 years $10,000 with an APR of 9.5% for 20 years Calculate the monthly payment for each loan individually. How much do you pay each month? How long do you have to pay that monthly amount? Over the course of each loan, how much total do you pay? How much of that is

For the table , the question that shows ratio 170 mins to 2 hrs . I got the reduced fraction as 17/12 and decimal as 1.47 but I do not understand the concept of interpretations. I also have the interpretation listed as "there are 1.47 minutes for every hour" \f
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If you are an aggressive manager you should use aggressive estimates and ttempt to report the highest Net Income possible since: 1 2 Management may receive higher bonuses based on favorable financial results. If reported Net Income is above analyst's expectation of net income, then share price may increase and management's stock options and stock
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II"- l'v'lodif].r the Solow growth model by including government spending as follows. The govern- ment purchases (3 units of consumption goods in the current period, where G = gN and g is a positive constant. The government finances its purchases through lumpsum taxes on con sumers, where T denotes total taxes, and the government budget is
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please assist me with explaining and helping my daughter in math Identify the leading coefficient , degree , and and behavio 1 . P ( X ) = 2 x - 6* + x 2 - 2 2 . Q ( x ) = 4x 2 + x - 1 Identify whether the function graphed has an odd or even degree and a positive or negative leading coefficient
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A truck enters a highway driving 60 mph. A car enters the highway at the same place 13 minutes later and drives69 mph in the same direction. From the time the car enters thehighway, how long will it take the car to pass thetruck?

(8 points) 10 Sketch the graph of the function x2 4 x2 + 6 f(X)= Clearly indicate each of the steps as listed on pages 232-234 of the textbook
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f(x)={-2 if -2.5

Can you assist me with the following? I'm having a difficult time understanding the below. Thanks in advance for your help Question 1 \f2) Suppose that the population of Eek, AK has been foUnd to be able to he approximated by the function Ht} = 52 + 183\"\" for t E [l where t is in years and t= (1 corresponds to the year 1960. When (in what year]
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The following problem has been giving me a bit of trouble. Here is what is confusing me.... \f
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Kailah owns a watch repair shop.she has found that the cost of operating her shop is given by the quadratic function C(x) = 4x 2 -368x + 53 where c is cost and x is the number of watches repaired.How many watches must she repair to have the lowest cost?

Show a truth table for statement. If p=Andy is hungry and q=the refrigerator is empty, then r=Andy is mad. pqr ? ( p q ) r TTT ? ? TTF ? ? TFT ? ? TFF ? ? FTT ? ? FTF ? ? FFT ? ? FFF ? ?

The list contains 42 Test 3 scores from a section of MA 110. 35, 43, 44, 44, 45, 46, 48, 50, 53, 54, 54, 55, 56, 57, 62, 64, 65, 66, 67, 69, 75, 76,77, 78, 78, 81, 83, 84, 85, 86, 86, 89, 89, 92, 93, 94, 97, 98,100,100,100,100 1. Divide the scores into four equal parts, and draw three lines to show this (hint: start in the middle of the list)
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A shooting star forms a right triangle with the Earth and the Sun, as shown below:A right triangle is shown with the vertices labeled Earth, Sun, and Shooting Star. The angle formed by the Sun is labeled x degrees and the side between the Earth and the Sun is labeled y.A scientist measures the angle x and the distance y between the Earth and the

Do the Winning times in the 100 Meter Summer Olympics Run show that men's inning times are correlated with women's winning times ? (Do NOT graph the year. Just graph the men's finishing time and women's finishing time.) YEAR MEN's WINNING TIME WOMEN's WINNING TIME 192810.80 seconds12.20 seconds 193210.3011.90 193610.3011.50 194810.4011.90

a. Test the claim that the population proportion of KissesEEI chocolates that land completely on the base is different than 50% at a = 10% level of significance. I State hypotheses and a: I Calculate the evidence State test used and numbers piped into the calculator. Clearly state the pvalue. I State the complete decision rule then state clearly
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Use the fundamental counting principle to solve. An ice cream store sells 2 drinks, in 5 sizes, and 8 flavors. In how many ways can a customer order a drink

If 1,000 is invested at an interest rate of 10% per year, compounded monthly, find the amount of the investment at the end of 4 years

I drop a meter stick from 8 meters off the ground. Please explain clearly. thank you Problem 3 ( a ) I drop a meter stick from & meters off the ground ( as illus trated to the right ) . At time to , the stick is released dropping a distance of lot units in t seconds . Simultane ously the stick is rotating clockwise at constant speed about its
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Which of these is an equation of one of the asymptotes of the following function? f(x) = 5 cot(3 x) _1 501.63 _:r 1035? _1 c) xE _ _1 e) 176 1') None of these
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Triangle ABC is located at pointsA(-4,3), B(3,3) and C (2,-1) and has been dilated from the origin by a scale factor of 3.Draw and label the verticies of triangle ABC. Determine the coordinates of the dilated triangle A'B'C',and draw and label it on the coordinate plane.

A 25-foot ladder is leaning against a house with the base of the ladder 5 feet from the house.How high up the house does the ladder reach? Round to the nearest tenth of a foot. The ladder extends_______feet up the side of the house.

A campus radio station surveyed 500 students to determine the types of music they like.The survey revealed that 205 like rock, 158 like country, and 120 like jazz.Moreover, 25 like rock and country, 27 like rock and jazz, 20 like country and jazz, and 7 like all three types of music.What is the probability that a randomly selected student likes

The distance from the bottom of a ladder to the wall it is leaning against is 12ft. The ladder is 2 feet longer than how high up the wall it reaches. How long is the ladder?

You are given an n n matrix A with rows r1, . . . , rn. Let B be the matrix with rows rn, rn1, . . . , r1. Prove that det(B) = (1)( n(n1))/ 2 det(A). [Hints: Use elementary row operations, only swapping adjacent rows. To get a feel for the 2 argument first prove the statement for n = 2, 3, 4. Generalising to all n is only a matter of visualising

A cash prize of $2,400 is to be awarded at a fundraiser. If $1,200 tickets are sold at $4 each, find the expected value

Graph the linear equation using the slope and y-intercept2x + y = 0

A population of bacteria is growing according to the equation P ( t )=1000 e^ 0.12 t , where P ( t ) is the population and t is the time in hours.Estimate when the population will reach 5000Round to the tenths.

Completely factorise the following polynomials over R f(x)= (x 2 -3) 3 - 7(x 2 -3) 2 (2x 2 +1) + 12(x 2 -3) (2x 2 +1) 2

EL New assume that the ecnnnmy's supp-13,.F of rnactne-henls increases from 3,000 to 4,000. Derive the new prnducnn pessihitjr frnner. e. Hnw much E1001 and feed will the eennnm],r prnduce after this increase in its capital supply
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(this is a section under differential equations) Problem 5: It is known that 206 gram of Plumb is produced owing to the radioactive decay of 238 gram of Uran. Determine the age of a rock, where the relation of Uran mass to Plumb mass is equal to 50:7. The half decay time of Uran is equal to 4.5 X 109 years. Assume that at t = 0 the mass of Plumb
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EThe weedwacker Company manufactures two types of lawn trimmers: an electric model and a gas model. The company has contracted to supply a national discount retail chain with a total of BUDDD electric trimmers and 150m gas trimmers. However, Weedwacicer's production capability is limited in three departments: production. assembly. and packaging.
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Airlines t;.|'pie.'all13..r everh-nnk ights because usuallyr several passengers dnn't shew up. Assume that ene airline ies jets that seat 2H0 passengers, and with nverhenkinga the ntuhhers ef passengers that shew up are approximately nee-malljgl.r distributed with mean 182 and standard deviatitm ISL a} [5 pts] What is the pmhahity that there will
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'l'he average number ot customers that Visited a particular store durmg the past year 15 160 per day and a standard deviation of 25 customers per day. A random sample of 64 days is chosen from this population. The standard deviation of the sample mean enuals
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15 . ( 3 points ) Which of the following comparisons would use a t - test comparing two independent groups A . Fifteen retirees with diagnosed hypertension are assigned a program of diet , exercise , and meditation . A baseline measurement of blood pressure is taken before the program begins and again after 2 months . Was the program effective in
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7. Solve the IVP: y" - 4y' + 3y =1 + u (t- 1), y(0) = 1, y'(0) = 2 where u(.) denotes the unit step function. (Hint: Given Y(s) = L{y(t) } (s), then L{y'(t) } (s) = sY(s) - y(0) and L{y" (t) } (s) = s?Y (s) - sy(0) - y'(0).]
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please help me understand so i may assist my daughter so she can understand Find the vertex , the focus , and the directrix , Draw the graph of * + 6* + by + 21 = 0 The focus ( Typo an ordered pair . ) What is the directrix ? Select the correct choice below and fill in the answer box to complete your choice A . The directrix isy 10 8 B . The
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National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A cost $90 to make, and each model B costs $140 . The profits are $30 for each model A and $25 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 2100 and the company has earmarked not more than

I need help with something like this. The steps would be nice so I could understand! Thank you! F (x)=x 2 -2x-(-3) Find vertex, x intercept,y intercept, domain and range. I don't need to graph it, I just need to figure out those 5 things.

A chemist needs 130 milliliters of a 39% solution but has only 3% and 55% solutions available. How many milliliters of the3% solutionshould be used to get the desired solution? A.She should use 90 mL of the 3% solution. B.None of these. C.She should use 50 mL of the 3% solution. D.She should use 70 mL of the 3% solution. E.She should use 40 mL of

Prove or give a counter example to the following statement: 1 If the m n matrix A has rank m, then the system Ax = b always has a solution. I.e. the system is consistent for all b.

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