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Mathematics Questions and Answers October 25, 2021

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Graph one cycle of the given function. State the period, amplitude, phase shift and vertical shift of the function: y = 3 sin(x)

6 of 10 (5 complete) V 4 - a U inelmgent to the curve y 2 BOX - 3x4 at x :1 Use the tangent feature of a graphmg ('atc atm to dt ptay the curve and the tangent Ime B

Farmer Jones and his wife, Dr. Jones, decide to build a fence in their field to keep their sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described byy=3x^2 and y=x^2+5. Farmer Jones thinks it would be easier just to build an enclosure with straight sides, but he wants to please his wife, so he follows her suggestion.

Find the equation of the line with the given properties. Sketch the graph of the line. Passes through (6 , 3 ) with a slope of 2 Type the general form of the equation of the line. =0 Two part question, please answer first part and wait for second part to get credit. Thank you! (Simplify your answer. Use integers or simplified fractions for any

Use the given information to find the minimum sample size required to estimate an unknown population mean, . Margin of error= 153.0, confidence level= 95.0 percent , and =574.6

The owner of a small firm has just purchased a personal computer, which she expects will serve her for the next two years. The owner has been told that she "must" buy a surge suppressor to provide protection for her new hardware against possible surges or variations in the electrical current, which have the capacity to damage the computer. The

solve the following quadratic inequality :3x^2+5x-2 <0 answer in interval notation _____________________

9 lnx 3x dx 1 4 arctan ( 2x )dx 2 x 13 cos(x7)dx 25 e3 x 1 dx

Please and thank you-show all steps in answering this question: given that 1 mile is 5280 feet, convert 92 feet per minute to miles per hour

I need help figuring out these answers. I am confused about which formulas to use. Thanks! Use this information to answer Questions 9 11 below. A colony of 470 bacteria grows at a continuous hourly rate of 0.965%. Question 9 (1 point) El What will be the colony's population after one week? Only enter the number, rounded to the nearest bacterium.
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Evaluate the geometric series or state that it diverges. M 8 n=0 7+1 Does the series converge or diverge? If it converges, what is its sum? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges. Its sum is . (Type an integer or a simplified fraction.) O B. The series
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Flying against the wind, an airplane travels4450 kmin5hours. Flying with the wind, the same plane travels3630 kmin3hours. What is the rate of the plane in still air and what is the rate of the wind?

Hey so i am having trouble with the foil method 24x 2 +25x47=8ax 2 3ax+16x+653

1. Parents have set up a sinking fund in order to have $160,000 in 16 years for their childrens college education. How much should be paid quarterly into an account paying 4.8%compounded quarterly? Round answer to the nearest cent. Show work. 2. If a bank pays 2.4% interest compounded monthly on its certificates of deposit (CDs), what is the

1- Which of the following series diverges? a) 1/2 + 1/4 + 1/6 + 1/8 + ... b) 3/2 + 1 + 5/6 + 6/8 + ... c) 3 + 5 + 7 + 9 + ... d) 16 + 8 + 4 + 2 + 1 + ... 2- Which of the following series converge? a) 1/2 + 1/4 + 1/8 + ... b) 1/3 + 1 + 3 + 9 + 27 + ... c) 2 + 4 + 8 + 16 + ... d) 9 + 8 + 7 + 6 + ...

1. Which of the following functions has the greatest y-intercept? f(x): x = -3, -2, -1,0,1,2 and y = 9,4,1,0,1,4 g(x): 5 cos (3x) - 5 2. In what direction and by how many units is the graph of f(x) = 7 sin(3x + ) 2 vertically and horizontally shifted? 3. The length of a social media interaction is normally distributed with a mean of 3 minutes and

Consider the data set X = {2; 6; 8; 4; 3; 9; 1; 7; 5; 0; 2; 1; 9; 0; 8; 5; 9; 5; 1; 0}: (a)Compute the numerical values of the mean of the data set (b)Compute the standard deviation of the data set.

MATH 115 Precalculus Fall, 2017, V1.1 MULTIPLE CHOICE 1. Solve, and express the answer in interval notation: 7 4 x 5. A. B. C. D. 1. ______ (-, 1/2] [3, ) (-, 1/2] [1/2, 3] [1/2, ) 2. Which of the following polynomials has a graph which exhibits the end behavior of upward to the left and downward to the right? 2. _______ vvvv f (x) = 4x3 + x + 8 f

Hi could someone help me solve this multiple choice questions I don't get what it's telling me to do The system of equations Ax = c has solutions I -2 -2 3 -1 -4 _ _ x = 4 + p 1 + q 4 The solutlon set of the system Ax = 0 conSIsts of all vectors x = -3 2 0 \fA consistent system of linear equations in 9 unknowns is reduced to row echelon form.
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1 Evaluate the following expression for a = -1, b = 2, and c = -3. Select one: a. -1 b. -1/3 c. 1/3 d. 1 Question 2 In the expression (a 2)(b + 3), a 2 is considered to be which of the following? Select one: a. Term b. Factor c. Coefficient d. Equation Question 3 Which of the following expressions is equivalent to-2x (-xy) + 7x 4xy? Select one: a.

73. Total Distance Traveled by a Bouncing Ball A ball is dropped from a height of 30 ft. On each bounce, it attains a height four-fifths of its original height (or of the previous bounce). Find the total vertical distance traveled by the ball after it has completed its fifth bounce (has therefore hit the ground six times). 191.3568 ft

1 (1 point) Solve the problem. The profit for a product is given by p = 2000 + x2 - 105x, where x is the number of units produced and sold. Graphically find the x-intercepts of this function to find how many units will give break-even (that is return a profit of zero). Question 1 options: a) They will never break even. b) 25 units c) 25 or 80

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. {3x-2y+z=-7 {x+y-2z=12 {3x+y-z=10 a. x = 2, y = 3, z = -7; (2, 3, -7) b. x = 1, y = 3, z = -4; (1, 3, -4) c. x = 5, y = 13/2, z = -3; (5, 13/2, -3) d. x = 1, y = -3, z = -16; (1, -3, -16)

A communications satellite is directly above the extension of a line between receiving towers A and B. It is determined from radio signals that the angle of elevation from tower A is 88.9 degrees and the angle of elevation from tower B is 87.1 degree. If A and B are 690 km apart, how far is the satellite from A? (Ignore the curvature of the

(a) You are given that two solutions of the homogeneous Euler-Cauchy equation, x^(2)*((d^2)/(dx^2)*y(x))+4x((d)/(dx)*y(x))-10y(x)=0 x>0 are y1=x^(-5) and y2=x^(2) Confirm the linear independence of your two solutions (forx>0 ) by computing their Wronskian, W=? (b)Use variation of parameters to find a particular solution of the inhomogeneous

Find a basis ofnullspace(A) nullspace(A). Find a basis ofnullspace(A) nullspace(A). . 1 1 2 0 1 Int Leta: ( p0 ) 2 1 l 3 0 0 0 0 Find a basis of nullspace(A). Answer: 1 1 To enter a basis into WeBWorK. place the entries of each vector inside of brackets, and enter a list of these vectors. separated by commas. For instance, if your basis is 2 [ 1:|
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Business owners must be able to think about many things all at once. A business owner's financial health is determined by how well the business owner can make decisions to provide customers with a valuable service or product. This unit concentrates on many different types of problems businesses face and focuses on considering many facets of

Find a polynomial with integer coefficients, with leading coefficient 1, degree 5, zerosiand2i, and passing through the origin.

Find two numbers whose difference is132and whose product is a minimum.

MAT 21A, practice problems for the final exam 1. Compute the limits: a) limx3 e1/x b) limx3 ln(x 3) c) limx3 ln(x2) x3 d) limx 8x5 7x3 +9 (3x2 1)(2x3 3) e) limx ex x3 f) limx0 arctan(x)x x3 2. Compute the derivatives of the following functions: a) f (x) = x ln x x b) f (x) = e3x 2 c) f (x) = (x 1)5 cos x d) f (x) = sin(ln x) e) f (x) = e3x+2 cos

in a hypothesis test, a business would like to know if product quality has improved this year over the last year. the type of tail test is

Find the equation of the line passing through (5, -2) and ( -1, 7) please show and explain all work.

Every year on Earth Day, a group of volunteers pick up garbage at Hidden Falls Park. The time it takes to clean the beach varies inversely with the number of people picking up garbage. Last year, 34 volunteers took 4 hours to clean the park. If 60 volunteers come to pick up garbage this year, how long will it take to clean the park?

Find the length and direction (when defined) of uXv u=6i ; v=6j a. 6;6k b. 36;k c. 36;-k d. 36;36k Need help with steps..

1. CDmplEt-E the prccf cf Thecrern 2.1.2 and of Prcpeeiticn 2.1.. 2. Determine the emaeat inductive enheet cf each cf the ringa with identity menticned in Exercise 1.5.1. 3. Per which cf the ringe in the pretricue exercise deee an arieni similar tc Axicrn II held if the Expresain 'xactly tine\" is raplaced by \"Dne'\"? :1. What are the

In Exercises 7-14, given flfx] , state whether the Intermediate Value Theorem can be used tn shuw there is a sulutiun fer the equation x] = G en the indicated interval. Explain why. \f\f
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Let f (x) = 9 x and g(x) = x + 2. (a) Find (f/g)(-7). Show work. (b) find the domain of the quotient function f/g. Explain.

This assignment follows the standard form for a project submission. You need to include an introduction, primary discussion, and a summary. Include graphs, tables, and images, as necessary, to improve the clarity of your discussion.

1. Connor invested $63 500 in 2017. When the investment ended in 2023, he had $71 231. What annual interest rate, compounded semi-annually, did he invest his money at?. 2. Companies are helping with the pandemic by producing face masks. On day 3, there were 1107 masks available in Canada and on day 7 there were 89 667 masks available. If the daily

There are7 people fishing at Lake Connor:5 have fishing licenses, and2 do not. An inspector chooses two of the people at random. What is theprobabilitythat neither person has a license? answer as a fraction insimplest form

Capital Funding Amount 1,250,000.0 300.000.0 20,000.0 1,247,000.0 20,381,000.0 188,000.0 88,000.0 4,181,000.0 14,777,000.0 440,000.0 33,051,000.0
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Use the formula s equals one half at squared s=1\2at2 to find the value of a given the following values of s and t. s equals= 76 and t equals= 2

When is the units of production method of depreciation most suitable? When expensing costs associated with current assets When assets that will produce revenue and provide benefit of multiple operating periods When depreciating land values When depreciating assets that will produce a consistent benefit over their useful lives

The time a basketball player spends in the air when shooting a basket is called the "hang time." The vertical leap L measured in feet is related to the hang time t measured in seconds by the equation Lequals= 4 t squared4t2 . Suppose that a basketball player has a vertical leap of 2 feet 6 inches. Find the hang time for this leap.

Find the domain of the function: f ( x )= 32 x

Review the Inquirer to determine Digbys current strategy. Where will they seek a competitive advantage? From the following list, select the top five sources of competitive advantage that Digby would be most likely to pursue. Select: 5 Seek the lowest price in their target market while maintaining a competitive contribution margin Seek high plant

Chapter 2, Video Clip Section 2.9,. Example 1 Please View the following video before answering this question. Section 2.9 Example 1: Gas consumgion Consider the amount of gas in your car during a road trip. You start out with 25 gallons and drive for 4 hoursI leaving you with 15 gallons in the tank. You stop for lund'i for 2 hours and then drive
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What is the flow rate in cubic feet per second of a 8-inch diameter pipe with water flowing at an average velocity of 2.5 ft/s.

Use a definite integral to find the area under the curve between the given x -values. ( x ) = 8 4 3 x from x = 0to x = 8

1.Graph f(x)=1/3(x)+12 2 Graph y=-3x-3 3.Graph y=1/2x-2 4. Find f (4) for the following piecewise function. \f\f\f
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Name(s): This HW is comprised of 3 problems (a network problem, integer problema and non-linear problem) Use this spreadsheet as a template and submission file (add your name(s) to the file) It is due April 9th, 2017 end of day. A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 B C D E F G H I J K L M N Travel time per call from each district to each

Given: Multivariable function f ( x,y )= ky 2 - 2 y 3 - kx 3 + 2 kxy A.The function f ( x,y )has a critical point at (0,0). Use the second derivative test to demonstrate that for all nonzero values of k, f has a saddle point at (0,0). Use algebra and/or calculus techniques to justify all work. B.The function f ( x,y )has a critical point at

7. Solve the equation and show the check of your solution(s). If an answer is an excluded value, please state than on your paper. Clear fractions first m 4 m2 10m 24 2 2 m2 4m2 m 8. Solve the equation and show the check of your solution(s). If an answer is an excluded value, please state than on your paper. Clear fractions first 3x 6 2x 2 x 4 x 7

1.An airplane climbs at an angle of 15 degrees with a horizontal component of speed of 200 km/h. What is the magnitude of the vertical component of the velocity?

Use rules of inference to show that if the premises x(P (x) Q(x)), x(Q(x) R(x)), and R(a), where a is in the domain, are true, then the conclusion P (a) is true

1. A coin is tossed 5 times. Let X count the number of heads tossed. Determine 2. A coin is tossed 3 times and then a die is rolled. Let spots on the die. Determine , X (HHT 6) X (TTT 4) 3. A red die is rolled and then a green die. Let X (3,4) and X (4,3) 4. Determine f (x) and X X (HHTHT ) . be the number of heads times the number of X (HTT 3) .

Math123 Homework Section 13 Bar Graphs and Histograms The following data was collected from a survey on student's exercise habits. Hours Exercised weekly 0 to 2 3 to 5 6 to 8 9 to 11 12 to 14 Frequency 3 9 11 6 1 Preferred Exercise Running Yoga Weights Exercise Class Swimming Frequency 5 6 12 4 3 1) Use Excel to create a bar graph (column graph in

Jerome will be buying a used car for $11,000 in 3 years. how much money should he ask his parents for now so that, if he invests it at 7% compounded continuously, he will have enough to buy the car?

Annuity Payment David is saving money to open an Indian food franchise. He needs $15,000 in two years to make his down payment and is investing in an annuity yielding an annual interest rate of 7% compounded monthly. If the annuity requires that David make monthly investments, what annuity payment must David make to save $15,000? (Show all work)

Find the mean, median, and mode of the given set of raw data. (If more than one mode exists, separate your answers with commas. If an answer does not exist, enter DNE .) 1.2 1.8 0.7 1.5 1.0 0.7 1.9 1.1 1.2 0.8 1.1 1.3 2.3 0.9 2.0 1.1 1.5 2.2 mean median mode

te Fm me derivative at x for the given function. mum-Rae) h

Express the confidence interval 0.49

A college administration has conducted a study of 150 randomly selected students to determine the relationship between satisfaction with academic advisement and academic success. They obtained the followinginformation: Of the 70 students on academicprobation, 38 are not satisfied withadvisement; however, only 18 of the students not on academic

If the portion of the roundabout between A and B has an estimated traffic flow of from 6[e] to 8[a] cars per hour, what is the estimated traffic flow between C and A, and between B and C? PIN is 24768 X1=AB X2=BC X3=AC A= X3 + 200 = 165 + X1 X1-X3=35 B= X1 + 50 = X2 + 100 X1 - X2 =50 C= X2 +200 = 185 + X3 X2 - X3= -15 Point A is 6[e] =68 Point B

1.Solve the following exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. (4^x)-20 * (2^x) = -100 What is the exact answer? Simplify your answer 2. A zero-coupon bond is a bond that is sold now at a discount and will pay its face value at the time when it matures; no interest payments

Use the sum and difference identities to find the exact value. You may have need of the quotient, reciprocal or even/odd identities as well. csc (195 o )

Express as a single logarithm. 3log 6 x + 5log 6 (x - 6)

Find the standard deviation for the group of data items. Stems Leaves 0 7 1 27 2 27

The system of the population of a culture of tumor cells is given by p(t)= 3700t t+3 . Find and interpret limit p(t) t .

Question No. 2: Using the truth table, determine whether the following argument is valid or invalid : If x 0 then x > -1 As x 0 Therefore x > -1

What would be the coordinates of the image of (10,-4) rotated clockwise about the origin through a 90-degree angle? (-4,-10) (6,1) (-2,1) (1,2)

find the domain of f and write in interval notation f(x)= 6x+19___ x^2-2x-35 _________________

Assume the time spent (in days) waiting for a heart transplant for people ages 35-49 can be approximated by a normal distribution with mean of 203 days and a standard deviation of 25.7 days. What waiting time represents the 5th percentile? What waiting time represents the third quartile? Assume the average time spent sleeping ( in hours) for a

What is the domain of the function. f(x)=sqrt x^2-36 For the quadratic function. f(x)=x^2-4x-5. answer parts a) - c) a. graph the quadratic function by determining whether it's graph opens up or down, and by finding its vertex, axis of symmetry, y-intercept, and x-intercept if any b. determine the domain and range of the function c. determine

A 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard deviation is 2.3. The smallest sample size n that provides the desired accuracy is a) 230 b) 226 c) 215 d) 223 e) 232 f) None of the above

Name two practical applications of polynomials, and explain how they are used in real life Example; Two polynomials are going to be going to the Grocery store and a summer job. 1. Grocery store you would like to know the how much three pd of flour, two dozen eggs and three gallons of milk ( F= flour, E= eggs and M= milk )= 3f + 2e + 3m ( flour is

According to the American Pet Products Manufacturers Association (APPMA) 2003-2004 National Pet Owners Survey, 39% of U.S. households own at least one dog and 34% of U.S. households own at least one cat. Assume that 60% of U.S. households own a cat or a dog. a. What is the probability that a randomly selected U.S. household owns neither a cat nor

Write the expression in simpliest radical form. Please see attachment for question. \f
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Can you please help me with this question? Can you show me how to the calculations and get the answers? As a purchasing manager, you are assessing the delivery time of two potential package delivery companies to your facilities overseas. Federal Express has delivery time that is normally distributed with population mean = 34 hours with population

find 1 + 2 + 3 + 4 +... + 90, the sum of the first 90 natural numbers how do I solve?

Explain how to solve rate-of-wind and rate-of-current problems

A scale model of a tower is 24 inches tall and 18 inches wide. If the height of the actual tower is 60 feet, what is the width

4. (14 points) This question is broken into two parts. Each Part 1 questions. All such questions are worth 2 points. THER (a) Use the graph of y = f(x) to answer these questions. (Each answer should be a num- ber or "does not exist".) W mgm) : L'- J3) 1im----f(4+h)-f(4) = "Ft" h->O h fur Eva vr"? ' bit" :' (7 ' (a4) At sc = lgaiuate d-d-f(x2)= N

Find g ( x ) such that ( f g )( x )=4 x^6 7 x^3 and f ( x )=4 x^ 27 x .

Find f ( x ) such that ( f g )( x )=3 x^ 46 x^ 2 and g ( x )= x^ 2 Find ( p s )(3)for p ( x )=13 x^ 24 x +5 and s ( x )=4 x 13

Consider the following investment. ( Round your answers to the nearest cent.) $11,350 at 6% compounded daily for 10 years and 182 days ( ignore leap years ) (a) Find the future value of the given amount. $ (b) Interpret the future value of the given amount. After 10 years and 182 days, the investment is worth $

The Black-tailed prairie dog was decimated in Arizona in the 1960s due to a disease. A large part of the population, which was at carrying capacity, was killed. Only 10% survived. How long would it take with a regrowth rate of 2% to back to the carrying capacity? How many years will it take for the same situation if we double the regrowth due to

If I were writing a reference letter for somebody I thought had three excellent traits - serious, smart, kind - and two moderately positive traits - careful and helpful, and my goal was to write a letter that led to the greatest likelihood the person would be successful, I should: Question 34Answer a. Exclude the moderate traits because people

ch 9 5. Jennifer Brunner works 30 hours per week as a chef's assistant. At the rate of $14.30 per hour, what are her gross weekly earnings? Round dollars to the nearest cent. $ gross weekly earnings

Multiple questions here that I need help with, with the first two I can paste the graphs. please help 1.At 12 pm, the runner has reached the 42 kilometer mark. Five hours later, the runner reaches the 60 kilometer mark. The following graph shows the distance y (in kilometers) covered by the runner x hours after 12 pm. Find the equation of the line

The number of taxi accidents is approximated by y=-143.3x^2+1823.3x+6820 and the number of injuries is approximated by y=-416.72x^2+4416.7x+8500. Let x=0 represents 1990, x=1 represents 1991, and so on. According to the equation for the number of accidents, if the trend continued, how many taxi accidents occurred in 1995? Round to the nearest

How do I derive the equation of the parabola with a focus at (6,2) and a directrix of y=1

Let and ???? be a non-empty families of sets with ???? . Show that ???? .

#8 Solve

A free-lance sales representative is independent and gets paid on a commission-only basis. She earns a 5% commission on monthly sales up to $35,000, 6% on monthly sales between $35,000 and $75,000, and 7% on monthly sales over $75,000. Determine her commission for a month when sales were $106,450.

Answer with basic steps pls...ty.......................... A humidier is set to maintain humidity at 40. Assuming humidity is distributed normally with the standard deviation of .1, what is the probability that humidity will be below 39.5
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Find the domain of f(x)=x+6 use two lower case o's for infinity. ""oo" is how you type in infinity. _____________________

Find the z-score for3 - of the following set of numbers (1, 2, 3, 3, 3, 4, 5, 7, 8, 8)

The financial assets of the mutual fund industry (in trillions of dollars) can be approximated by y=.0556x^3-1.286x^2+9.76x-17.4, where x=5 corresponds to 2005. Find the minimum value of the total assets between 2008 and 2011.

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