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Mathematics Questions and Answers October 16, 2021

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Q1. In your Economics 101 class, you have scores of 69, 81, 86, and 88 on the rst four of ve tests. To get a grade of B, the average of the rst ve test scores must be greater than or equal to 80 and less than 90. Solve an inequality to nd the least score you can get on the last test and still earn a B Q2. Your local electric company charges 8.5

Optimization Problem (Calc 1): A tin can (right circular cylinder) with top and bottom is to have volume V . What dimensions (the radius of the bottom and the height) give the minimum total surface area?

The pre-image of triangle ABC is rotated 90 degrees to image ABC about the origin. If point C is located at (-3,4), then name the coordinates of C. image: https://curriculum.kcdistancelearning.com/courses/INTMATHx-HS-WA10/b/exams/Exam_6/u6_8.gif (1,2) (6,1) (4,3) (-1,-2)

Help with the attached homework, please. On the graph points show how. \f
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Time left 1:09:49 Question 29 Not yet answered Marked out of 1.00 Flag question Question text In research, the researcher must ensure ________ and _______? Question 29Answer a. Anonymity and choices b. Confidentiality and anonymity c. Anonymity and exclusion d. No response

A simple graph is called self-complementary if it is isomorphic to its complement. Let G be a self-complementary graph. 1 v v 4 [a] Prove that the erder of G must be either 4!; er 4!: + 1 for seme nonnegative integer k. (Hint: what must |E[G]| equal?) (13) If {(11, d2, . . . (in) is the degree sequence of G then what is i. 2;; d5, and ii. d.- +
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Find average value of the function f over the region D, where f(x,y) = xy, and D is a triangle with vertices (0,0), (1,0), and (1,3)

2 Assignment 2 consists of a theory component (2A, worth 80%) and a computer component (2B, worth 20%). The grades allocated are summarized below. Assignment Grade weight Assignment 2A. Theory component 60 marks 80% Assignment 2B. Computer component 15 marks 20% Total marks 75 marks 100% You must submit Assignment 2A and Assignment 2B together as

5.6 (Version C) Math 112 Section: Instructor's name: Name: 1. Suppose a culture of bacteria starts with 8000 bacteria. After one hour, the count is 9000. Find an exponential equation that models the number of bacteria in hours. Keep at least 4 decimal places in your formula for rounded values. Find the doubling time of the bacteria. Round the

Please give reasonable answer and in a prompt matter Writing in Mathematics 61. What is the rectangular coordinate system? 62. Explain how to plot a point in the rectangular coordinate system. Give an example with ynur explanation. 63. Explain why [5, 2} and (2, 5) do not represent the same point. '03 64. Explain how to graph an equation in the
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Let f be the function define by: f={(4,2), (-1,6), (0,-1), (-3,0), (3,4),(-2,2),(1,-2)} and let g be the function defined by: g={(-2,3),(0,1), (-4,5), (3,2), (4,-2), (1,-1), (2,-3)} find the value of (gof)(4).

1) Find the value of Y Find the value of X 3) a35 b49 c56 d42 4)What is a valid justification for space c? a Definition of Congruent bTransitive Property of Congruence c Alternate Interior Angles Theorem dCongruent Supplements Theorem 2) 5)What is a valid justification for space b? a Definition of Supplementary b Corresponding Angles Postulate c

1 Describe the given set of points with a single equation or with a pair of equations. The circle in which the plane through the point (5, 2, -6) perpendicular to the x-axis meets the sphere of radius 13 centered at the origin. x2 + y2 + z2 = 144 and y = 5 x2 + y 2 + z2 = 119 and y=5 x2 + y2 + z2 = 169 and z = 5 x2 + y2 + z2 = 169 and x = 5

2. Question Details The extent of disease transmission can be affected greatly by the viability of infectious organisms suspended in the air. Because of the infectious nature of the disease under study, the viability of these organisms must be studied in an airtight chamber. One way to do this is to disperse an aerosol cloud, prepared from a

In a certaindistribution, the mean is 70 with a standard deviation of 5. At least what fraction of the numbers are between the following pair ofnumbers? 60 and 80

But how would you explain the steps one needs to take to find the inverse function of your example?

MONTGOMERY COUNTY COMMUNITY COLLEGE MAT 140 Assignment 5 Name ______________________________ The cost of making staples is given by the equation: C(x) = 0.2x, if 0 x < 20 0.1(x - 20) + 4.0, if x 20 where x is millions of staples made per month and C is cost in thousands of dollars. a. Find C(5). Explain what the answer means, use correct units in

Imagine a subject is taking part in a study to test a new cold medicine. The probability that the subject is taking drug A is 20 %, that it is drug B is 30 %, and that it is drug C is 5050 %. From past clinical trials, the probabilities that these drugs will improve his condition are A (40%), B ( 60 %), and C ( 50 %). What is the probability that

Use the standard deviation for female subjects is 1.01 to Calculate the Standard Error of the Mean (SEM) of the correct responses for female subjects. Round your answer to the nearest hundredths place. For example: 1.11 males females 3 7 6 6 6 7 4 8 6 7 6 10 6 8 5 8 3 8 3 10 6 8 6 9 9 9 5 8 4 8 5 9 7 9 6 8 6 8 7 9

Johnny is redesigning a rectangular poster to contain 16^2 inch of printing with 3 inch margin at the top and bottom 3 inch margin at each side. What overall dimensions will minimize the amount of paper used?

At T= square root 5 hours the tank holds 9.2 gallons. What is the volume of fuel in the tank after 7 hours? Round to one decimal place. \f
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In how many different ways can five elements be selected in order from a set with three elements when repetition is allowed?

oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo 'I'tLet1 1dS32 (pom) v11,v2 3 an 1_2. Find vectors WI and wz so that S will be the transition matrix from {W1, W2} to {V1, v2} 33 || 3 ||
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hallow tutor Please derive the formulae for the area of a circle Use A-area r-Radius Thank You

Use the elimination method to solve the system of equations. x+6y=21 -x+8y=7 Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice. A. The solution is ??????. (Type an orderedpair.) B. T here are infinitely many solutions. C. T here is no solution.

Can you show us how to find the vertical asymptote for the functiony=65x/(x-65)?

Tajfel and colleagues (1971) divided participants into groups on the basis of whether they overestimated or underestimated the number of dots on a page. Participants then divided monetary points between someone from the same group as them and someone from the other group. Results found that: Question 25Answer a. Participants awarded monetary

2. Encrypt each message M using the given RSA public key (e, n) = (13, 85) (using message block of length 1). (a) M = 12. (b) M = 78.

The manager of a manufacturing company knows that they will need a new machine in one of their factories. The new machine will cost them $12,500. The manager has determined that they can afford to pay 15% of the cost of the machine in cash. They can then finance the rest through a credit union. The credit union will charge 2% per year compounded

Please answer the following questions and show all work. Thanks. \f
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calculate the slope of the line passing through the points P and Q. Be sure to reduce your answer to lowest terms. P(7, 20), Q(7, 8)

Good morning Can you please help me 1. Find the vertex and the axis of symmetry and graph the function f(x)=x^2-5x Vertex= Axis of symmetry= Graph= 2. Solve each system graphically. Before to check your solution. if a system has an infinite number of solutions, use set builder notation to write the solution set. if a system has no solution, state

Find the zero's of the polynomial function and state the multiplicity of each. f(x)=x^7(x-1)^2(x+4) The smallest zero=____ With multiplicity ____.

Mean & Standard Deviation Exploration Name: Directions For this assignment you will compare the dot plots provided to answer questions. The blue dots represent sample data values. When two data values are the same, they stack one on top of the other to show frequency as a height. The sample mean ( x ) and sample standard deviation ( s ) are given

use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using interval notation. (g f)(x) (f g)(x) (f f)(x) f(x) = 2x + 3, g(x) = x 2 9

21. A projectile is launched from a platform 13 feet high with an initial velocity of 112 feet per second, The height h ofthe projectile at r seconds after launch is given by h = 16I2 + 1121+ 13 feet. (a) How man}r seconds after launch does the projectile attain maximum height? Show work. (b) What is the maximum height? Show work
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As reported by a recent survey, the fast-food restaurant with the best drive-through time had a mean time spent in the drive-through of mean .7 seconds. Assuming drive-through times are normally distributed with standard deviation .7 What is the probability that a randomly selected car will get through thedrive-through in less than 60.4 seconds.

During its useful life, an asset _______ in value. appreciates depreciates accrues increases 10 points Question 2 At the end of its useful life, an asset may still have a dollar value called its ______ value. accrued depreciated salvage appreciated 10 points Question 3 The _______ value is the cost minus the salvage value. appreciable accrued

A bus driver making a salary of $4125 per month has her salary increased to $4500 per month. Use the formula for percent increase to find the percent increase correct to the nearest tenth of a percent.

(1 pt) Rework problem 29 from section 2.3 of your text, involving the selection of officers in an advisory board. Assume that you have a total of 12 people on the board: 3 out-of-state seniors, 5 in-state seniors, 1 out-of-state non-senior, and 3 in-state non-seniors. University rules require that at least one in-state student and at least one

I purchased a $2000.00 Treasury bond with a current yield of 5.8% that is quoted at 107 points. **What would My annual interest be $------?

(1 point] We slope afthe tangent line to the parabola)! = 3.:2 + 3x + T at tl'e point (3,43) is: ' The equation of this tangent line can be written in the form J" = m: + b where m is: ' and where b is
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The tank in fig 19 below is filled with sea water, density 65 pounds/cubic foot. The dimensions of the tank are in feet. Do not consider any losses due to friction in this problem. a) Find the volume of the tank. b) Find the weight of the water. c) Find the center of mass of the water. From this point on you should not have to integrate for

Find the sales tax of a new above ground pool that you pay $14,900 for, if the tax rate in your area is 9.0%. Find the marked price and tax for an $11 beer at the local football stadium, where the sales tax rate is 9.43%.

1 Evaluate the function at the indicated value of x. Round your result to three decimal places. Function: f(x) = 0.5x Value: x = 1.7 -0.308 1.7 0.308 0.5 -1.7 5 points Question 2 Match the graph with its exponential function. y = 2-x - 3 y = -2x + 3 y = 2x + 3 y = 2x - 3 y = -2x - 3 5 points Question 3 Select the graph of the function. f(x) = 5x-1

Here are the polynomial models that describe the median annual income for men, M, and for women, W, who have completed x years of education: M=177x 2 + 288x + 7,075 W=255x 2 - 2,956x + 24,336 Find a mathematical model for M - W. What is the difference in the median annual income between men and women with 14 years of education? **Be very clear and

Describe a rational number that is greater than 3.456 but smaller than 3.457. Explain how you know the number is rational.

How much does a 20 year old need to put up each month to have 1,500,000 in 45 years at 7.25% interest compounded monthly? How much of that amount is interest?

An airliner carries 400passengers and has doors with a height of 74in. Heights of men are normally distributed with a mean of 69.0in and a standard deviation of 2.82.8 in. Complete parts (a) through (d). show work A. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability

1. Cuuidlr the Hindu; two diltrihutiuna: Px} - 115. Juli} - -15. \"{3} - -3|1.Px{*|}- irl - .Imxil - +115 PW\") - Emmi) - .Etpwtl- .ltmw'l'l} - Airwl - +11pwill- M a. Shaw tthudWhhwthemmnuuuddtathn. 1:. Find thamaitlmtntuwmurmmwmwhn than numb-art maul about than diatrihutimt at I ind W. 1:. Find the kurtnsll arm and explain that that: number: man

you mistakenly reject the statement of "no significant difference" and falsely accepted the statement of "significant difference" you have committed a

A tin can has a circular base and a volume of80cm^3. Express the diameter of the base of the can in terms of the height of the can. Use h for the height of the can. Diameter= There are two positive numbers. Four times the small number plus 3 times the big number is 56. Two times the small number plus the big number is 22. What is 10 times the big

a partical of mass m moves along x-axis under the influence of a conservation field of force having potential V(x).If the partical is located at positions x1 and x2 at respective time t1 and t2.find it's total energy

J ._...,. \"um..- H\"... m-.. \"a\"..wwu \"A...\" ............u............ -_..._.._. \"J Hg} m. n. H...J_.._......._. \"um\"; "A injective'? Problem 5. Consider the function e : Z2\" } Z dened by C(71) = Number of elements in 'P \"1,2, - -- ,n 1,n}). Prove by induction that C(11) = 2". Problem 6. Consider the sets

i ON ONLY 1 You want to have $5000 by the time you finish college in 3 years. How much money should you deposit each quarter for the next 3 years into an account paying 8% per year compounded quarterly so that you can have $5000 when you finish college? a) $368.80 b) $372.80 c) $370.80 d) $369.80 e) $371.80 f) None of the above. The manager of a

Im describing the sampling distribution. How do you find standard error when mean is 30 and standard deviation is 6.

The time spent (in days) waiting for a heart transplant for people ages 35-49 can be approximiated by the normal distribution, as shown in the figure to the right. (a) What waiting time represents the 5 th percentile? (b) What waiting time represents the third quartile? mean of population=203 Standard Deviation=26.5

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6. Translate the following into mathematical equations: a.The density d of a material is directly proportional to the mass of the object m and inversely proportional to its volume V . b. The drag of an object traveling through a fluid D varies jointly with the density of the fluid and the square of the velocity of the object

Donnie Smith Assignment Section 9.4 due 04/28/2017 at 11:59pm MST 1. (1 point) Find the area enclosed by the curve r = 9(1 + cos()). Area = Sharma MAT 266 ONLINE B Spring 2017 5. (1 point) Find the area of the inner loop of the limacon with polar equation r = 9 cos 6 Answer(s) submitted: 121.5pi (correct) 2. (1 point) Find the area enclosed by the

Your company is submitting bids for two different projects, project A and project B. Based on their research, your company experts estimate that the probability of winning the bid for project A is 0.28 and the probability of winning the bid for project B is 0.42. Their research has also shown that if the company wins one bid, the chance of winning

Have you ever wondered if you were leaving the correct tip when at a restaurant? Complete this exercise to compute four different tips. 1. Review an old bill or come up with a new total price at a restaurant. Please make sure that your amount is different from other classmates amounts. 2. Use the following values: You really liked your service =

Please help with this math assignment on Radians and Trigonometric Functions.

Let a E E and u. = J5. Suppose a: E E. The linear Padic Newton iteration for computing a. from a mod 11 that we gave in class is based on the following linear padic update formula: _ae(f{u'kl)fsk) at = modp. PM} where u] = a HE. A direct coding of this update formula for the 1\

21. A newborn child receives a $ 8 , 0 0 0 gift toward a college education from her grandparents. How much will the $ 8 , 0 0 0 be worth in 18 years if it is invested at 7.7% compounded quarterly?

A projectile is launched with an initial velocity of 117feet per second from the height of2 feet. The functionmodels the path of the projectile where t represents the time, in seconds, after which the projectile is launched and s represents the height of the projectile at time t . S(t)= - 16t^2+117t+2 How long will it take for the projectile to

Find the following probabilities. ( Round your answers to four decimal places .) (a) p (0 < z < 1.62) (b) p (1.40 < z < 1.83) (c) p (0.38 < z < 1.59) (d) p ( z < 1.91) (e) p (1.34 < z < 0.86) (f) p ( z < 1.27)

Given p is true, q is true, and r is true, find the truth value of the statement: (p q) ~r True Flase

1.Christine designed and is now producing a pet car seat. The fixed costs for setting up production are $10,000, and the variable costs are $30 per unit. The revenue from each seat is to be $80. Write profit equation and break even point in (,) form

based on the table below x__|0_| 1_| 2_| 3_| 4_| 5_| 6_| 7 | 8 | 9 | f(x)|36| 57| 33| 28| 31| 38| 17| 4 | 6| 37| evaluate f(6) f(6)=_______________ solve f(x)=4 x=_______________

Imagine swimming in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = log8t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level. Water at 25 degrees Celsius has a pH of 7.

MAST10007 Linear Algebra Semester 1, 2017 Assignment 3 Due: 12 noon on Monday, March 27. Late assignments will not be accepted. You should show all working for all your answers. Please leave your assignment in your tutor's box located near the north entrance to the Peter Hall building. Make sure that you have written your name, your student

Between 2005 and 200 the average rate of inflation was about 4.3 % per year. If a cart of groceries cost $ 11 in2005, what did it cost in 2009? (round to two decimal places)

Use the formula for the sum of the first n terms of a geometric sequence to solve this exercise. Find the sum of the first 8 terms of the following geometric sequence. 7, -14, 28, -56, ...

A club has 25 members. a) How many ways are there to choose four members of the club to server on an executive commitee? b) How many ways are here to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?

Hi there, please do the following question; QUESTION; Simplify; 1/(SecA-TanA) Thank you

There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being the laststand-up comic of the evening. If thisperformer's request isgranted, how many different ways are there to schedule theappearances?

Let f(x ) x^4-6x^2+10 Find the equation of the tangent line at x = 1, and find the values of x where the tangent line is horizontal.

43. An automobile manufacturer produces 5 6 % of its cars at plant A. If 5% of the cars manufactured at plant A have defective emissions control devices, what is the probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device?

Population P, whose size t days after we start the observation is given by the formula P(t)=200(1- 0.8e-0.1tcos(2t)). Another population, called Q, changes according to the formula Q(t)=200(1+ 0.1e0.8tcos(2t)), where t is the time (in days) when we start the observation. What is the initial size of each population and describe the population trend

Data on the governors of the fifty states are given in the table DemocratsRepublicansIndependents Male12320 Female420 ( a) Find the probability that a governor is female, given that the governor is a Democrat. ( Round your answer to four decimal places.) (b) Find the probability that a governor is female, given that the governor is a Republican. (

a weight loss program claims that people loss approximately 18 pound every 8 weeks . Imagine the person who currently weight 120 pounds starting this program . write the formula to predict the person's weight W, after x weeks on this program

1. Complete the following amortization chart by using Table 15.1. (Round your answers to the nearest cent.) Selling price Down Principal of home payment (loan) $ 77,000 $ 5,000 Rate of interest Years 6% 30 $ Payment per $1,000 Monthly mortgage payment $ $ 2. Complete the following amortization chart by using Table 15.1. (Round your answers to the

I need help on this question, I've been working on it forever. For the tunctlon fix] = -2(x + 3F - 1. identify the vertex. domain, and range. OThe vertex is (3, -1), the domain Is all real numbers, and the range is y z -1. OThe vertex is (3, -1), the domain Is all real numbers, and the range is y s -1. OThe vertex is (-3, -1), the domain Is all
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A rational functlon Is given. r00 = xi 3 (a) Complete each table for the function. (Round your answers to three decimal places where appllcable.) Table 1 Table 2 X 3.5 2.9 3.1 2.99 3.01 2.999 3.001 Table 3 Table 4 10 10 50 -ED 100 100 1000 1000 (b) Describe the behavlor of the function near its vertical asymptote, based on Tables 1 and 2. (c)
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Find the equation of a line in the slope-intercept form that passes through the points (-2, 4) and (3, 7).

pectin 0 0 0 1 1 1 2 2 2 3 3 3 reading 46.9 48.2 51.3 56.48 60.34 62.97 67.91 72.78 73.67 68.13 71.85 72.34 Stat_652_HW1_Sinha (Homework) Current Score : - / 65 Due : Tuesday, May 30 2017 11:59 PM CDT 0/4 submissions 1. Question Details A food processor was receiving complaints from its customers about the firmness of its canned sweet potatoes.

Give an example of a real word problem that can be modeled with a quadratic or polynomial equation. Explain the problem and the solution.

x P ( x ) x Q ( x ) and x ( P ( x ) Q ( x ) ) Could someone explains what is the difference between these two logic statements, preferably with an example thanks!

Please answer the attached question with a full explanation on how you did it: 7. Using complete sentences explain why W = x2 for any value of x, whereas W = x3 only when x 2 0. Pagezufz Siwurds E El a -o|+ 151%
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Does the STEM initiative have the potential for changing the curriculum in schools?

Solve the equation by completing the square. x 2 - 6x + 34 = 0

6.9.4 Journal: Similar Circles Geometry Sem 1 (S3537251) Points possible: 20 Journal Julio Duenas Date: ____________ Scenario: Prove That All Circles Are Similar Instructions View the video found on page 1 of this Journal activity. Using the information provided in the video, answer the questions below. Show your work for all calculations. The

Request help for the following multiple choice questions. \f\f\f\f\f
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I am having problems with adding vectors, basically I don't understand the concept very well. Please show me how to work the following and how you arrived at your answer ex. Add the following vectors a. 352, angle theta = 184 degrees b. 289 , theta angle B = 338 degrees. round to 1 decimal place

Solve the system of equations using the substitution method. x=y+2 x+3y=6 Select the correct choice below and fill in any answer boxes present in your choice. A. The solution of the system is ????? . (Type an orderedpair.) B. There are infinitely many solutions. C. There is no solution.

You draw and keep a single bill from a hat that contains a $1,$5,$10,and $100 bill. What is the expected value of the game to you?

The sum of two numbers is 58. The larger number is three more than four times the smaller number. Find the two numbers. the larger number is ????? and the smaller number is ???????. Please show calculation.

After a windstorm, one of the hydro poles had a lean to it. The poles are 14m high and the angle between the pole and the ground is 81 . How high is the top of the pole above the ground?

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