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Mathematics Questions and Answers October 26, 2021

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An open box is to be made from a square piece of cardboard whose sides are 13 inches long, by cutting squares equal size from the corners and bending up the sides. Determine the size of the square that is to be cut so that the volume maybe maximum. A square with a side of length __ inches should be cut away from each corner to obtain the maximum

mary split her $25000, she invested some money in a certificate of deposit with an annual interest yield of 5% and the rest in a mutual fund with an annual yield of 4%. if her total income for one year on two investment was $1140, how much did she invest in each rate?

Help to solve and plot solution Consider the ODE y; + 11713; : 93. (i) Let u : 3;\". Show that the ODE can be transformed to u' - 21311; : '2. (ii) Find the general solution y(;z:) to the original ODE. (iii) Show there is a singular solution of the form y5(:1:) = 0:1?\" for some constants m and C 34$ 0. (Note that this is not the equilibrium
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Math Find the product. (x + 4)^3 Need help with this problem.

Suppose that you invest $PMT into your retirement account for 30 years at an average monthly APR of 12.5% (very possible with mutual funds, stocks, and the correct portfolio balance). Once you retire, you move your lump sum of money into a low risk account offering you an average yield of 2.5% APR compounded monthly. How big should PMT be so that

let me know if I need to type it out Solve 16 2 822 - 15 Keep your answers in exact form, do not round! Use a comma to separate multiple answers. Ifnew
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Back to Baker Street... Lesson 1A Assignment Complete the Back to Baker Street assignment. Refer to the Tips From Scotland Yard by clicking on the link to assist you in completing the assignment. Call or e-mail your teacher if you would like additional help. Name: Date: Score: < /53 = % > Multiple-Choice Items 1. 2. 3. Numeric Response 1 < > 4. 5.

a regression is stated as Y=$1450 +$72(X), which of the following describes the slope of the relationship? a. when independent variable increases by one unit, the dependent variable increases by $72 b. when the dependent variable increases by one unit, the independent variable increases by $72 c. when the dependent variable increases by one unit,

Put each equation in standard exponential form. y =5/ 0.545 2 x 7 y = 4 ( 0.0002267 ) 0.4 x + 2

A small business borrows $80,000 at 8.4% interest compounded monthly for 8 years. a. What is the monthly payment? b. What is the unpaid balance at the end of the first year? c. How much interest was paid in the first year

Consider the tanele inequality : |r+s| E II] + is]. Consider In? - 9| 3 III I'UI and I1? y! 2 lyl lil- h-Ieiie use of the denition of continuity to prove that if a function F is continuous at :c = .r, then |F| is also continuous at m = -r
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5 points Question 5 1. What are the zeros of the parabola in #1? (that is, at what points does the graph cross the x-axis?) { (1, 0), (5, 0) } { (0, -1), (0,5) } { (-1, 0), (-5, 0) } None of the above 5 points Question 6 1. (Questions 6, 7, and 8 will use the following 2 functions.) Given : Find : (f + g)(x) None of the above 5 points Question 7

Kiln-dried solid grade A teak wood should have a moisture content of no more than 12%. A furniture company recently purchased a large shipment of this wood to construct dining room sets. Thirty-seven pieces of teak wood were randomly selected and carefully measured for moisture content. The sample mean moisture content was 12.3%. Assume the

The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past 5 years are as follows: Year 1 2 3 4 5 Mileage 3000 3,950 3,500 3750 3750 a) Using a 2year moving average, the forecast for year 6 = miles (round your response to

State the Quadratic Formula. Use the Quadratic Formula to solve: 3x 2 + 2 = 4x. Factor x 2 - 25 = 0. Write an expression to find the area of a rectangle. Solve the following quadratic equation by completing the square: x 2 + 4x = -4.

ch 11 5. Manually calculate the compound amount and compound interest for the following investment. Round your answers to the nearest cent. Do not round intermediate calculations. Principal Time Period (years) Nominal Rate (%) Interest Compounded Compound Amount Compound Interest $6,000 3 12 semiannually $ $

No idea how to approach this. Quick help is greatly appreciated and will be rewarded. \f
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DETERMINE WHETHER THE FOLLOWING STATEMENT MAKES SENSE OR DOESN'T MAKE SENSE, AND EXPLAIN YOUR REASONING. Assuming that it might rain tomorrow or that it might not rain at all, the probability of it not raining tomorrow is 0.5.

Let x and y be integers. Consider the following implication S: If xy is even and x+y is even, then x is even and y is even. Prove S

Find two numbers whose difference is 48 and whose product is a minimum.

You currently earn $ 1400 permonth, but you are expecting your earnings to rise 80 % per year. In fiveyears, what should you expect to be earning? Choose the correct answer below. A. In fiveyears, you should expect to be earning somewhat less than $ 2520 per month because your earnings rise 80 % peryear, which are subtracted from the earnings of

1 (The function given below will be used for questions #1 - #5.) Given : Find the x value of the vertex (turning point). None of the above x = -2 x = -3 x=3 Question 2 Using the same function as in #1, find the y value of the vertex. None of the above y=4 y = 32 y = -4 Question 3 Is this vertex you found above a minimum point or a maximum point?

Lab 2 Report Rubric - professional formula This lab report is aimed at helping you get familiar with how to use the equation editor in Microsoft Word to produce high quality mathematical expressions. It is a good practice to type in mathematic formulas using keyboard alone; because using a mouse to click menu item to type in formulas slows down

5. Consider the following two-point weighted Gaussian quadrature with the weight func- tion E13: 1m .51 .m. Ao- gas.)- {a} Find the m.- and c; in this formula. It is known that the rst several orthogonal polynomials satisfying l'mit'nhjdr =0. ifman A #,ifm=n are iim] = l,q:1{.-r]= :n L. li'Z'i-t] =32 gmI 3%. lfwe want to use decimals in your

Classroom Fun Math 125, Elementary Linear Algebra, Fall 2017 Problem 1.(1 Bonus Point.) You are a manager at the Canadian government's top secret Department K. It's your task to hire some new employees for the Weapon X project. There are two types of people you need to hire, miners and scientists, but they will share duties. Miners are able to

1. A certain game involves tossing 3 fair coins, and it pays 10 cents for 3 heads, 5 cents for 2 heads, and 3 cents for 1 head. Is 5 cents a fair price to pay to play this game? That is, does the 5 cents cost to play make the game fair? Show work. 2. An insurance company will insure a $200,000 dollar home for its total value for an annual premium

Write the slope-intercept for of the equation of the line described. Through: (-5,-1), perpendicular to y=(-5/6)x-4

6. Let U; be a root of the equation 25 = 1 and w 7 1. Find the value of l 1 l U] 'U] 'LU

What is the price of gasoline per litre in CDN dollars if a US gallon of gasoline costs US$2.74? One US dollar is worth CDN $1.05 and one US gallon is equivalent to 3.8 litres.

Use the general solution model developed to solve the following sinusoidal equations. Note: In some applications of the general solution, results may be negative and the final answer must be adjusted using the period of the function. The following examples were carefully selected to avoid this issue. 1) Seasonal Temperatures: The function shown

Calculate, to the nearest cent, the amount of interest earned on $6000 invested for 13 years at 6.5% interest, compounded continuously Please show formula/steps and also explain!

7) Find the limit(possibly infinite). If the limit is infinite, indicate +? or ?? lim \f
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Exercise 5: 10 points (5 points for a, 5 points for b) Let a: be a real number. Solve the following equations: a) [32: 16] = :1: b) 2Lm23m+5j 1=6 Extra Credit: 5 points Let a: and y be two real numbers such that 0
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20) Could someone please answer this question and provide a correct explanation?Thanks! \f
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A state makes license plates with three letters followed by three numbers with no repetitions of the letters permitted. How many different possibilities are there?

Find four values of x that satisfy the equation5sin(2x 2 +x1) = 2.

Let U={1,5,6,8,10,12,13,17,19} Determine the complement of the set {1,6,12,13,17} The Complement is { ? }

Write a nd then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y4."

Find two points on the line of intersection of the three planes t=0 and z=0 and x+y+z=t=1 in four-dimensional space. this is gilbert strang fourth edition can someone explain some concept of how to approach thinking this.

A restaurant buys baked goods from a local bakery. The table below gives the number of loaves of bread, bags of cookies, and cupcakes the restaurant bought over the course of three weeks. The restaurant buys no other baked goods from the bakery. Number bought Loaves of bread Bags of cookies Cupcakes Week 1 3 7 6 Week 2 5 4 6 Week 3 4 8 3 If the
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Find three consecutive even integers such that twice the sum of the first and third even integers is forty-four more than twice the second even integer.

Let A be the set of all functions from the set of real numbers to itself. Define a relation R on A by f(x) R g(x) if and only if f(x) is (g(x)). Prove that the relation R is transitive. (In class we proved that R is both reflexive and symmetric Together with transitivity, this completes the proof that R is an equivalence relation.)

When giving advice to a client relating to their animals primary health care needs what information would you record and where should it be recorded? Veterinary Nursing

Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. How many dogs did she wash on Sunday?Choose two answers: one for the equation that models this situation, and one for the correct answer.

A weather forecaster predicts that the temperature will drop 4 degrees each hour for the next 8 hours. If the temperature is 12 degrees before the temperature starts falling, what is the temperature after the drop?

I need the answer to question 4, showing all work like in question 3. Thanks! \f
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Hello, I need a tutor to help me with a quiz I will be taking. The tutor will need to be available to help me during the time I am taking my quiz (real time) and get back to me promptly. I only have an hour and 1/2 to take my quiz. I need the tutor to show me how to get the answer (the work) and the answer/solution. My quiz will be on the

Write equation that expresses the following relationship. w varies directly with u and inversely with the square root of d \f
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P L E A E A N S W E R T H E F O L LO W I N G M AT H Q U E S T I O N S . QUESTION 1 1. Find the simple interest on a $400 investment made for 5 years at an interest rate of 7%/year. What is the accumulated amount? A. The simple interest is $140, the accumulated amount is $540. B. The simple interest is $115, the accumulated amount is $515. C. The

The table gives the approximate economic value associated with various levels of oil recovery in a U.S. state. Percent Recovery (%) 10 40 50 80 Economic Value ($ billions) 700 1400 1500 2500 Find the regression line.

5 -letter words'' are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? (a) No condition is imposed. Your answer is : (b) No letter can be repeated in a word. Your answer is : (c) Each word must begin with the letter A. Your answer is : (d) The letter C must be at the end. Your

Epszpdf 7 Adobe Acrobat Pro >
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divide 15.20 among three people where the second gets 1 dollar more than the first and the third get 2.70 more than the second.

Please help. Write an equation for the line. Use slope-intercept form, if possible. Through (2, 0) and (-5, -9) Write an equation for the line. Use slope-intercept form, if possible. Through (0, 2), m = 3/5 Use a graphing calculator to solve the system of equations. Round your solution to one decimal place. I keep not getting the any of these...

as the confidence level decreases, we expect the margin of errorr to

I have a question on how to work this problem and the answer. Cheryl has a cooler with 4 Dr. Peppers and 7 Cokes inside. If 2 drinks are randomly drawn out, in succession, without replacement, what is the probability that the two drinks are the same brand?

Consider the DE dx/dt=2-(x/t), with x(1)=2 Verify that x=t+(1/t) is a solution. What is x(2)

The following table summarizes the ages of 184 people qualifying for disability insurance. Use the frequency distribution table to estimate the mean age of people in this data who qualify for disability insurance. Answer to 2 or more decimals Age Interval Frequency 30 - 39 12 40 - 49 18 50 - 59 27 60 - 69 25 70 - 79 10 80 - 89 29 90 - 99 18 100 -

9m 2 4 23 5x + 15 x 2 49 Can someone help me understand these problems?

A patient is receiving a continuous infusion of a medication. The total amount to be infused is 1440 cc per day. What is the rate of this infusionper minute?

22 of 40 5.0 Points Which is an activity that allows children to experience the concept that some rocks are harder than other rocks? A. Exploring rocks B. Thinking like a geologist C. Giving students a carton of rocks D. Going on a nature walk Question 23 of 40 5.0 Points Unit 33 discusses a natural way to reinforce science process skills and

What is multiplicity? What is the difference in behavior along the x-axis (crosses or touches) between a zero of even multiplicity and a zero of odd multiplicity? Give an example of each.

Which of the following sampling techniques could result easily in biased statistics? I. A government employee decides to wait at a bus stop to survey people about whether they support a certain candidate in an upcoming federal electio II. A student council representative puts up a poster in the school that asks students whether they favor longer

3. Central Ski and Cycle purchased 50 pairs of ski boots for $350 per pair less 30% and 10%. The regular rate of markup on selling price of the boots is 50%. The stores overhead is 25% of the selling price. During a January clearance sale, the price was reduced to $325 per pair.What is the rate of markdown and what was the profit or loss on each

\f\f\f\f\f\fProbII-I 1. Section 4.3 Problem Hal{e} in [FIS]. No justication is required. 2. Section 4.3 Problem ll] in [FIS]. 3. Prove the following result that was discussed and used in class: suppose E is the elementary matrix obtained from In by the row operation R, In ii E. Prove that for all A e MMgn] one has A i EA, Le. left multiplication

How would you solve this problem: A peach grower has determined that if 30 trees are planted per acre each tree will average about 200 pounds of peaches per season. However for each tree grown in addition o the 30 trees, the average yield for each tree in the grove drops by 5 pounds per tree. How many trees should be planted on each acre in order

Let y be the solution of the initial value problem y+y=sin(2x), y(0)=0, y(0)=0. What is the maximum value of y and what are te steps?

1.Find the slope of the line containing the points (-5,-4) and (5,2). 2. Find the slope of the line containing the points (-4,-2) and (4,4). Show work!!!

Digby has a leverage of 1.82 This means that: (Assume leverage is calculated as Assets/Equity) Select: 1 Assets are funded with 82% debt. $1.82 of assets is funded with $1.00 of debt and $0.82 of equity. $1.82 of assets is funded with $1.00 of equity and $0.82 of debt. Assets are funded with 82% equity

Quiz # 2 1.Consider the following activities of a project: Activity1-21-31-41-52-63-63-74-75-77-66-87-8 Normal time, Weeks2 46342543647 The company loses P1,000 for every week the project lasts beyond 17 weeks.For each of the following proposals taken independently, discuss why (or why not) they are good ideas: Activity 4-7 can be reduced to 1

Previous Question Question 5 of 45 Next Question How would you describe the shape of the distribution shown below? Boston Real Estate Prices vertical bar graph. Access image details Shape of the graph distribution. Uniform Right-tailed Left-tailed Symmetric

Algebra 2 Writing Assignment: Quadrilaterals Challenge Problems Each problem is worth 5 Points Total Points: 10 1. The following is a parallelogram. Find x and y using the given information. AB DC AB =5x-2y DC = 4 AD = y BC =5-x A D B C 2. The following is a rectangle. Find x and y using the information given. AB = 2x DC =3y+5 AD = x BC = 2y+2 A B

The polynomial 50.14 x plus 55.98 y plus 85.03 z 50.14x+55.98y+85.03z describes the revenue a company generates from the sale of three different wool sweaters woolsweaters . The expression 46.44 x plus 39.46 y plus 15.92 z 46.44x+39.46y+15.92z describes the cost of producing each of the wool sweaters woolsweaters . How do I write polynomial in

Consider the function f(x) = 5 defined on [0;L].. (a) Sketch the Fourier sine series of f(x). (b) Find the Fourier coeficients. (c) Plot the first 10 non-zero terms of the series on the interval [-1; 1] (Using your favorite software - Mathematica, Matlab, etc.). (d) What can you say about the validity of this Fourier series?

Ashley and Shanice are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Ashley sold 10 bags of windflower bulbs and 7 bags of daffodil bulbs for a total of $89. Shanice sold 3 bags of windflower bulbs and 1 bag of daffodil bulbs for a total of $19. Find the cost each of one bag of

15 PRE CALC QUESTIONS... MUST UNDERSTAND BEFORE ACCEPTING... MUST GET ALL RIGHT... IT WONT LET ME ASK ADVANCED QUESTIONS SO I WILL TIP YOU ALOT.. THANKS.. I JUST NEED THE ANSWERS.. \f\f\f\f\fcircle .- I2}; parabela I I = I
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2: Differentiation Techniques (80 marks total) Your mark will be given as a percentage. [10 marks] 1. Find the derivative in each case. You need not simplify your answer. (5 marks) a. (5 marks) b. [10 marks] 2. a. (5 marks) b. 3. a. (5 marks) b. 4. . 3 1 5 2 . . Find an equation of the tangent line to the graph of: (5 marks) [10 marks] Find the

A basketball team played 60 games. They won 32 more than they lost. How many games did they win? How many games did they lose?

Graph the function (3x 2 - 12) / (2x 2 +1). Find the domain, any horizontal and vertical asymptotes, removable singularites , x- and y- intercepts. Use this information together with the graph of the calculator to sketch the graph.

The number of people who survived the Titanic based on class and gender is in the following table. Suppose a person is picked at random from the survivors. Class Female Male Total 1st 133 58 191 2nd 93 26 119 3rd 81 58 139 Total 307 142 449 b)What is the probability that a survivor was in the 3rd class? Round final answer to 3 decimal places. e)

Reduce Rational Expressions and state the excluded values. Show work!!! x + 10 / 8x^2 + 80x

Find equation of the line passing through ( 5, 3) and parallel to y=2/3x+1

1 This assignment covers material from Units 1 to 4 in the Mathematics 244 Study Guide. It is due after Unit 4 in the Study Guide is completed. Total Marks = 150 1. Evaluate each of the following expressions. a. 3 + (4) (+5) (7) b. [2 3 (5)] [(3 + 2)] c. 56 4(7 5)2 + 17 8 + (7(23 + 5(12 3 8 + 2) 7)) 2 (2 1 x 4 y 3 ) 2 d. 2 1 2 (6 x y ) Business

ESC 350 HW 1 MW Fall 2017 (Dr. Serrano) Due 2017 0! Do these exercises by hand. 3 1 3 4 1 5 . D=B '3']! 2 1 3 245 E=Ul4,F 321 If possible, compute the following: {3) AT and (AT);r (b) (C + 13):\" and CT + ET (c) (20 + 3F)?\" (11) D - DT (e) ZAT + B (f) (SD 2F)?" ll I1 I [Ci-Pb U-'l'd'l Il Matrices for 2) & 3)

Help understanding Multiplying special Products using the Foil Method show all work (8n+ 7)(8n7)

m age 18 in the United States at random and ask, "How many nlghs 3 ME , We survey, here is a probability model for the answer you will get 7 5' 6 7 0.16 0.15 0.38 , once a week\" in terms of X
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1. Implement the following functions given below using a single ROM coded in Verilog: F( x, y , z) = Majority(x, y, z) What is the size of the ROM? What is the truth table for the majority gate? Implement the circuit in behavioral Verilog and simulate it in ISIM. Remember to use a test bench and top level circuit. After proving that your unit

Relation 1 Relation 2 Domain Range Domain Range pen 1 moor 6 6 desk -3 rock -7 -9 star 3 O Function O Not a function O Function Not a function Relation 3 Relation 4 ( ( f . j) . ( j. v). (v. v). (x, j)) ((9, c). (7, c).(-8, c),(0, c)) Function O Function O Not a function O Not a function
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MATLAB sessions: Laboratory 4 MAT 275 Laboratory 4 MATLAB solvers for First-Order IVP In this laboratory session we will learn how to 1. Use MATLAB solvers for solving scalar IVP 2. Use MATLAB solvers for solving higher order ODEs and systems of ODES. First-Order Scalar IVP Consider the IVP \u001a y 0 = t y, y(0) = 1. (L4.1) The exact solution is

need help asap within the next few minutes would be spectacular n 3 ONE (2 complete} 7 u _ Solve lhe following equalion using lhe quadratic formula. 2x2 3x 1 = n The soluljon set is D. Hype an exact answer, using radicals as needed. Use a comma to separate answels as needed.)
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find all solutions of the equation in the interval [0,2pi). Answer in radians in terms of x. If there is more than one solution. \f
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The formula v=equals =StartRoot 20 Upper L EndRoot v= 20L can be used to estimate the speed of acar, v, in miles perhour, based on thelength, L, infeet, of its skid marks upon sudden braking on a dry asphalt road. If a car is involved in an accident and its skid marks measure 180feet, at what estimated speed was the car traveling when it applied

Use the function f and the given real number a to find( f 1 ) ' ( a ). . If an answer does not exist, enter DNE.) f ( x ) = x 3 + 8 x 7 , a = 2 explain

let f(x)= 1___ and g(x)= 5 +3 x-3 x find the following functions. simplify your answers f(f(x))=_______________________ g(f(x)=_________________________

Emma inherits $95,000 and decides to invest part of it in an education account for her daughter and the rest in a 5-year CD. If the amount she puts in the education account is $20,000 more than twice the amount she puts in the CD, how much money does Emma invest in each account? Start by defining the unknown quantities in terms of a variable; then

The converse of the conditional statement "If you take classes from BYU-Idaho, then you live in Idaho" is:

The amounts of time employees of a telecommunications company have worked for the distributed with a mean of 5.1 years and a standard deviation of 2.0 years. Random samples of size 18 are drawn from the population and the mean of each sample is determined. Use the Central Limit Theorem to find the mean and standard error of the mean of the

This problem involves inspection at a widget factory. Assume that a box contains 6 defective widgets and 12 acceptable widgets. There are 3 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the box. Each inspector makes his or her inspection at a different time. What is the probability that at

A company will match an employee's retirement contribution up to a maximum of 4% provided the employee contributes at least 2%. Calculatehow much willbe deposited into the employee's retirement account if the employee makes $44963 and the employee contributes 7%.

How would you solve the following differential equation for its general solution and its particular solution? (y')^(1/3)+2y=0 for particular solution: y(1)=4

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