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Mathematics Questions and Answers March 19, 2023

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Find the exact location of all the relative and absolute extrema of the function.(Order your answers from smallest to largest x .) g ( x ) = 6 x 3 ? 18 x + 9 with domain [?2, 2] Find the exact location of all the relative and absolute extrema of the Function. HINT [See Example 1.] (Order your answers from smallest to largest x.) g(x) = 6x3 18x + 9
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We want to see whether men and women differ in their mean socioeconomic index ( sei ) and their age when their first child was born ( ageledby ) . First , use the Explore procedure to view the distributions of these two variables by gender . Are they similar or different ? Do you see any problems with doing at test ? 2 . What do you conclude about
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the answers in the boxes are wrong. i need someone help with it plz (1 point) Suppose a pendulum with length L (meters) has angle 6 (radians) from the vertical. It can be shown that 6 as a function of time satises the differential equation: (29 9 si116 : 0 (it? + L where g = 9.8 rnisecfsec is the acceleration due to gravity. For small values of 9
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( 5 ) The Centipede Game There are two players : Harry and Sally . They each start with I dollar in front of them . They alternate in saying either " Stop " or " Continue " starting with Harry . When a player says " Continue , I dollar is taken from his / her pile , and 2 dollars are put in the opponent's pile . As soon as any player says " Stop "
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how would you solve this question ? A survey of 1000000 adults in Santa Clara County, California found that 700000 people read the San Jose Mercury News, 400000 people read the San Francisco Examiner, and 100000 read both newspapers.Draw a Venn diagram or use a contingency table and determine how many people: a.read either the Mercury News or the

On September 12, Jedyjansen went to Sunshine Bank to borrow $2 .300 at 9% interest. Jody plans to repay the lean on January 2?. Assume the loan is on ordinary interest. What interest will Jody ewe on January 27? 1|.-"u'hat is the total ameuntJedy must repay at maturity
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Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $150is deposited monthly for15years at7% per year FV = $

(1) Find the lengths of the sides of the triangle of maximum area that can be drawn inside a circle of radius r with one vertex of the triangle at the center of the circle and the other two vertices on the circle. (2) Among all cones that can be inscribed in a sphere of radius R, find the height and radius of the cone that has maximum volume.

37 Capital gain from the sale of assets of an estate or trust AL is not a part of distributable net income unless it is short - term capital gain never enters into the computation of distributable net income does not ordinarily enter into the computation of distributable net income unless it's the last tax year of the estate for trust . according
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find an equation in slope intercept form of the line that passes through (-4, -9) and the origin. its either A. y= 9/4x or B. 9x + 4y = 0

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Hello can you help me How should I set up this problem using the simplex method. Prescott Industries transports sand and stone extracted from its open-pit mines located in Odessa and Bryan to its concrete block manufacturing facilities in Abilene, Tyler, and San Angelo. For the capacities, locations, and shipment costs per truckload shown in the
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. John borrows 10; 000 for 10 years at an annual effective interest rate of 10%. He can repay this loan using the amortization method with payments of 1,627.45 at the end of each year. Instead, John repays the 10; 000 using a sinking fund that pays an annual effective interest rate of 14%. The deposits to the sinking fund are equal to 1,627.45

WIIIE a rermura tor me smume compounu. Express your answers as chemical formulas in alphabetical order separated by commas
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find the absolute extreme values of the function on the interval. g(x)=-x^3+27x-16, -10

1. l6 ptsl _ I {a} Let X_10g5 1296 State the corresponding exponential form of this logarithmic equation. 1 x :6 1296 1 [hi Determine the numerical value of logs 1295 in simplest form. Work optional
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0 Add the following vectors: A = 382, A= 174 and B = 274, B= 338 Round your answers to one decimal place. Please show as much work as possible for explanations, this is a weak area for me.

5. Which answer to part (3) makes the most sense from Jennifer's point of View? Explain why
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10)The population of the U.S. in 2010 was about 309,000,000.Approximately 5.2% of the U.S. population in 2010 consisted of people 80 years old or older. a) Approximately how many people in the U.S. were 80 years old or older in 2010? b) answer to part (a) in scientific notation.

Use the graph of y = f(x) to graph the function g(x)= f(x+1) +2. Use the coordinate template below to draw the graph of g(x)

Consider the series f ( 20 ) = [ in ( 2 ) 2 ER where In ( 20 ) = ( - 1 ) 1 17 at n ) for ( 20 ) = 1 THREE ( 2 + 1 ) 20 + ( 12 + 1 ) 2 0 2 n each of these cases . find all a ER at which the series defining f converges ? Con verges absolutely ? Finally find all intervals of I where the series defining f converges uniformly , and all intervals of R
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1 point) Find C F dr CFdr for F =3 yi (sin y ) j F=3yi(siny)j on the curve counterclockwise around the unit circle C C starting at the point (1,0). (1,0). C F dr =

2. A pet store owner is interested in the number of pets owned by her customers. She takes a random sample of 100 customers and asks them: \"How many pets do you own?\" (a) What is an appropriate method for graphing the data? (b) Why is it appropriate
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A recipe for a sheet cake that serves 54 people is: cup butter cup oil 3 cups of baking flour 1 tablespoon baking powder 6 eggs 1 cup milk 2 cups sugar teaspoon vanilla extract After everything is mixed into a cake batter, you are supposed to pour it into a floured 12 in. by 18 in. by 1 in. sheet cake pan. However, all you have is a 9 in. by 14

37 . A rectangular region with area 3200 square feet is to be enclosed within a fence . The two sides which in north - south will use fencing materials costing $1 .10 per foot , while the other two sides require fencing materials which cost $2 00 per foot Find the dimensions of the region which gives the small est material cost ANS BO ft ( north -
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56. Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs With hot peppers, While many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the customers ordering her chilidogs order it With hot peppers. Suppose 18 customers are selected at random. What is the probability that exactly
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3. Consider the data in the table. \"__ __ __ __ __ ___ a. Cemplete the table by computing the absc-lute and relative change. l1. Which meclei muld better represent this data, linear er experiential? Write a meaningful sentence to explain 1spur answer. c. Find the madel for this data. d'. What 1.I'alue does yc-ur madel predict when time is B
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Paul creates a scatter plot with a negative association. The x-axis of the scatter plot is titled, "Minutes Spent at Mall". Which label is most likely the title of the y-axis of Paul's scatter plot? A. Distance Walked B. Money Available to Spend C. Number of Movies Seen D. Number of Stores Visited

homework help the sum of 3 consecutive even integers is 252. How to find the integers

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8. Write the equation of a circle with a center at (10, 10) and a radius of 12. Show all work. Please type in answer instead of writing on paper and scanning. Thanks

At a raffle , 1 0.100 tickets are sold at $10 each for three prizes valued at $4 ,800 , $1 200 , and $400 What is the expected value of one ticket ? A ) - $9. 36 B ) $9 . 36 $0. 64 D ) - $0. 64
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oecsner mc. 1s a Joo-oroer manuracturer. 1 me compares,F uses a preoetermmeo overneao rate based on direct labor hours to apply overhead to individual jobs. For the current year, estimated direct labor hours are 133,DDD and estimated factor},r overhead is $F84,FUD. The fo]lowing information is for September. Job X was completed during September,
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the use of the word podcast occurred in 2004, by 2006 22% of the US were aware of podcasting and by 2014 that number had grown by 48%. make a linear equation in slope-intercept form that models growth. let X stand for the number of years after 2006 and let Y stand for the percentage of consumers aware of podcasts

The first 'podcast' occurred 2004, BY 2006 22% of people knew it and by 2015 the number grew 49%. The linear equation in slope-Intercept form that models this growth. Let X stand for the number of years after 2006 and let Y stand for the percentage you knew of podcasting.

The interest rate on oneyear Treasury hands 3 it} percent, the rate on twoyear Thona's is {19 percent, and the rate on threeyear Thona's is :18 percent. Using the expectations theory, compute the expected oneyear r'nte rest rates in (a) the seconaT year (Hear 2 only} and (h) the third year (Year 3 only). . so
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Not sure where to begin with this! Can someone help please! :) Make a scatter plot for the given data. Use the scatter plot to describe whether or not the variables appear to be related. Sushi Percentage Who Won't Try Don't Approve of Marriage Equality 100 80 60 40 20 0 204CBCBO 00 0 204CBCBOOO Do these variables appear to be related? 0 A. No,
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Match the following -EF -expectedvalue -P(E | F) -P(E') orP(Ec) -n(E) -EF= (emptyset) -AdditionRule -P(x)=(Cn,x)(px)(qnx) -independent events -EF -P(E) -n(S) 1 . sample space :the number of all possible outcomes 2. The number of all desired outcomes or events ; always a subset of the sample space 3 probability that a desired outcome (event) will

how do you form an equation of the line described in standard form , Ax+By=C, where A,B, and C are integers. though: (-2.-5), perpendicular to y= -(2/7)x + 2 illutrate the equation in slope-intercept form and then use the slope and y-intercept to sketch a graph of the line with 8x+5y=25

PC Magazine asked all of its readers to participate in a survey of their satisfaction with different brands of electronics. In the 2004 survey, which was included in an issue of the magazine that year, more than EDGE} readers rated the products on a scale from 1 to 10. The magazine reported that the average rating assigned by 225 readers to a
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5.3.1. Show that a |)- a([l]) is an isomorphism from AIME\") onto the group of units of Zn
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use the intermediate Value Theorem to show that each polynomial has a zero between the given intergers. f(x)=x^3-x-1; between 1 and 2

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3] DNS {15 pm] Refer in pages 82 and 83. For simplicity 53m the transmission delay of each nude and pmpegatien delay of its. autgeing link are deneted by Lin\" and lamp, respectively. Ignore the preeeaaing and queuing delays. Cempmt: the time it takes. for the nriginal nude to complete its. [INS queryr using reetu'sive and iterative run-ties
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A store has two types of animal feed available. Type A contains9 pounds of oats and3 pounds of corn per bag. Type B contains2 pounds of oats and10 pounds of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least57 pounds of oats and at least75 pounds of corn. The store only has15 bags of type A feed and15

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J.J.. Jutil HIS ll": SKYUIVEI .'zilb'pi'i ULll UI LIIE plll, A. What is the skydiver's forward velocity? (2 points)
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Graph f(x)=-2x 2 -x+15/x 2 -x-12.What is the domain (expressed in interval notation)?Does a hole exist in the graph?If so, then what are the coordinates of the hole?You must show all work to receive full credit; this includes clearly defining the graph and showing it's coordinates. The x-values cannot include -2, -1, 1, 3, and 5

How many ways are there to pick a group of n people from 100 people, and then pick a second group of m people from the remaining (100n) people, so that all the people you chose from the first group are taller than the people from the second group (assume that everyone in the group of 100 people has a different height.)

Fritz Benjamin buys a car costing $ 13900 . He agrees to make payments at the end of each monthly period for 8 years. He pays 7.2 % interest, compounded monthly. What is the amount of each payment? Find the total amount of interest Fritz will pay.

How to find left coset of a symmetry subgroup S 4 . Ex: (1 3)H = (1 3) {e,(1 2 3 4),(1 3)(2 4),(1 4 3 2)} = {(1 3),(1 2)(3 4),(2 4),(1 4)(3 2)} please explain to me how to obtained these answer.

Write the quadratic equation whose roots are -1 and 2, and whose leading coefficient is 4. (use the letter x to represent the variable.)

A person got $ 177905 for his house after paying a sales commission that was 9 % of the selling price. What was the sellingprice?

Meagan invests $1,200 each year in an IRA for 12 years in an account that earned 5% compounded annually. At the end of 12 years, she stopped making payments to the account, but continued to invest her accumulated amount at 5% compounded annually for the next 11 years. a. What was the value of the Ira at the end of 12 years? b. What was the value

A spherical balloon is to be deflated so that its radius decreases at a constant rate of 14 cm/min. At what rate must air be removed when the radius is 6 cm? Air must be removed at_______ c m^3 / m i n .

Artic Ice sources (purchases) a parka from an Asian supplier for $15 each and sells them to customers for $39 each. Leftover parkas at the end of the season have no salvage value. The demand forecast for the parka is normally distributed with a mean of 3,400 and standard deviation of 1,250. Now suppose that Artic Ice has found a reliable vendor in
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Jed wants to borrow $ 000 from you He is proposing to repay you with three annual payments of $ 310.87 starting immediately. Inaddition, he will make a finallump-sum payment of $ 150 three years from today. What rate of return are you earning on theloan?

3. There are two brands of light bulbs. Ultralight bulbs that have lives with a mean of 3000 hours with a standard deviation of 200 hours and Electrolyte bulbs whose lives have a mean of 3000 hours with a standard deviation of 250 hours. Under what set of circumstances would a purchasing manager want to purchase Ultralight? Explain thoroughlyr
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5. JBJIIII has just retired and has $1,500, 000 in his retirement account. The account will earn interest at an annual rate of 9% interest compounded monthly. At the end of each month, James will withdraw a xed amount to cover his living expenses. James wants his money to last exactly 25 years. a) How much money can he withdraw each month? b} What
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Question 13 . Using the answer you got from question #12, nd k when y = 4,x=12 andw=4. r k = 16/3 F k = 24 r k = 2/3 F None of the above 5 points
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41. In the diagram below, AB is tangent to the circle at E. Determine the measure of 1x. D B A. 45 B. 50 C. 55 D. 60
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+5. Suppeae the highway,r mpg of a car is normally diatributed with an average [If 34 and a standard deviation of 11]. Suppeae we take a Sampie of 212] cars- a. 1I.I'I.I'|"I.at ia the [ardhaizuilitlyr that the average car gets |e55 than 23 mpg on the highway
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Boil a cup of water. (212 F) Set the cup in a room with regular room temperature and record the room temperature. (68 F) Wait 15 minutes and measure the temperature of the cup. (104 F) Use the measurements from part 3 to solve for k in the Newton's Law of Cooling given by T(t) = t 0 + (T 1 -T 0 ) e -kt Where T 1 is the initial temperature of the
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Q U E 5T! 0 N 9 1. A manager wants to raise productivity at his company by increasing the speed at which his employees can use a spreadsheet program. As he does not have the skills in- house, he employs an external agency which provides training in this spreadsheet program. They offer 3 packages: a beginner course, an intermediate course, and an
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2. A project requires an initial investment of $10,000 and it produces net cash ows of $10,000 one year from now and $2000 two years from now. The annual effective interest rate is 11%. Determine the project's net present value and internal rate of return. A. 1?.08% B. 18.08 C. 19.08% D. 20.08% E. 21.08%
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27. If the graph of y : x3 + ax2 +bx 4 has a point of inection at (1, 6), what is the value of b? (A) 3 (B) o (C) 1 (D) 3 (E) It cannot be determined from the information given
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Q1) You invest $4,890 at the beginning of every year and your friend invests $4,890 at the end of every year. If you both earn an annual rate of return of 03.00%. a) how much will you have in your account after 37 years? b) How much will your friend have in his account?

\f\f\f4. Refer to the Johnson Filtration problem introduced in this section. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical re pair was necessary, the managers obtained a list showing which repair person performed the service. The revised data follow. . a)

(12) A $3500 two year loan requires quarterly payments of $488.14. What is the nominal rate of interest? (13) How much do you need to deposit today so that you can withdraw 15 monthly payments of $400 starting in 4 months if interest is 3% compounded monthly? (Deferred annuity) (14) An endowment fund of $850,000 pays out, in perpetuity, quarterly

Sum and Product Rules The product rule provides a way to countn tuples created from pairing items in sets. In contrast, the sum rule is applied when there are multiple choices from different setsbut only one selection is made. 1.Meal Sequence A potluck dinner has the following dishes available to eat.The dishes marked with a * are spicy Red Curry*

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Can anyone at least help me get this problem started? I can't figure it out... The table below represents the probability distribution for service time in minutes. Number of breakdowns Probability 3 0.25 4 0.34 5 0.16 6 0.25 a) Suppose that two digit twodigit random number ranges are assigned to each of the possible service time, starting from Ell
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if s denotes the length of the arc of a circle radius r subtended by a central angle pheta find missing quantity r=11.5inches, pheta=120,s=? 24.3 24.2 24.4 or 24.1 in

Solve 4 sin x + 5 = 4 + sin x to the nearest thousandth over: a.) the domain 0 < x < 360 b.) the real numbers

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"First rewrite the function with a positive angle, and then graph the resulting function. y=3 sin(-2x) Rewrite the function with a positive angle. y=?

PLEASE HELP with clear explanations! Thanks! A business organization needs to make up a 5 member fund-raising committee. The organization has 10 accounting majors and 7 finance majors. In how many ways can the fund-raising committee be formed if at most 1 accounting major is on the committee? a) 21 b) 371 c) 31 d) 350 e) 10 f) None of the above.

On selling a pendrive for Rs 708.50, a man gains 9%. For how much should he sell it to gain 11%? The difference between the compound interest, compounded annually and the simple interest on a certain sum for 2 years at 9% per annum is Rs 81 Find thesum. ExplainDe Morgan's Law withexamples If 4 times the 4th term of an A.P. is equal to 9 times the

Use the given graphs of f (the parabola) and 9 (linear) to evaluate each expression, or explain why it is undefined. a. (f OQ){2} b. (9' 00(2) c. (f 0 0(2) d. (g OQMZ)
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Tully incurred $78000 of experimental and development costs in its laboratory to develop a patent , which was granted on January 2 2016 . Legal fees and other costs associated with registration of the patent totaled : $16 400 . Tully estimates that the useful life of the patent will be 8 years
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( 2 ) Prepare a purchases budget for each month of the second quarter ending June 30 2010 Peyton Department Store Monthly Purchase Budget Quarter Ending June 30 , 2010 April May June Total Budgeted $ Answer purchases SANSWER 3800 5 Answer $ Answer 47090 190
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6. How much money will they have if the interest is cempeunded annually? $301,20?.30 $550,932.22 $642,960.25 $600,214.66 . $500,338.34 f. None of the above. 00000
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Find the solution of the system of equations by solving the matrix equation Ax=b by multiplying both sides (on the left) by the inverse of A \f\f
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An air conditioning system can circulate 400 400 cubic feet of air per minute. How many cubic yards of air can it circulate perminute? The air conditioning system can circulate about nothing cubic yards of air per minute.

Find the minimum value (and the minimizing x) for (a) P(x) = 1/2 [(x1)^2 + (x2)^2] x1*b1 x2*b2 (b) P(x) = 1/2 [(x1)^2 + 2x1*x2 +2(x2)^2] x1 + x2

This year 20% of city employees ride the bus to work. Last year only 18% of city employees rode the bus to work. Find the percent change. Round to whole number percent.

c. Find the following measures of dispersion of the me WOW usage in Kb: - Range - Variance
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solve the following system of equation by graphing . x + 2y= 2x + 4y= 28 1)The system has a single solution. The solution set is (?) 2)There are infinitely many solutions and the equations are dependent. The solution set is(X,Y)(?) 3 The system is inconsistent. The solution set is the empty set.

1)Should you trust that you will get a good deal in a store if you see a sign outside the store saying "EVERYTHING IN THE STORE IS up to 80%OFF " Support your conclusion with reasoning.

Factor x2 +7x -18 A.(x -2)(x+9) B.(x-3)(x+6) C.(x+1)(x-18) D.(x+2)(x-9) E.(x+3)(x-6)

Find the second order Taylor series expansion of f ( x , y ) = 8 c o s ( x + y ) about the point (/6 , /6) question is find the second order taylor series expansion

CONTINUED FROM PREVIOUS 4. After looking at the results of her calculations, Naomi decides to aim for $500,000 by the time she retires. What will her annual deposits need to be to accumulate $500,000 in an investment at 8 %? The deposit each year will need to be $ (Round to nearest cent as needed.)

Let P be the point (1,1,-2). Suppose that the point P0(2, -5, 2) is1/5of the way from P to Q. Find the point Q.

Show that the given equation is not exact, find an integrating factor so that the equation becomes exact and then solve yex + (2e x + cos y) dy dx = 0

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