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Mathematics Questions and Answers March 14, 2023

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Working Age Population - People 15 years of age and older who are legally entitled to work in Canada. Labour Force - The sum of employed and unemployed workers in the economy
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You work for the BeeSwaks Candle Company and have been asked to update two of the company's earliest candle designs, the Brick and the Egyptian. The original Brick was a cube 8 centimeters on a side. The original Egyptian was a pyramid 21 centimeters tall with a square base 10 centimeters on a side. Improvements in the manufacturing process have

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You randomly select one card using a standard deck of playing cards and the following events are possible: A: The card selected is red B:The card selected is a face card C:The card selected is a heart D:The card selected is a Queen What is the number of outcomes for any event EXCEPT D to occur?

Suppose that in a certain population of used cars, 5% have bad brakes. Consider the null hypothesis that a car's brakes are fine. Suppose a given mechanic has a 5% chance of committing a type I error and a 5% chance of committing a type II error in inspecting the brakes of used cars. Consider selecting a car at random from the population and

From a group of 9adults and 8children, 8people are to be selected to sing together. If at most 7adults can be selected, the total number of ways the group can be chosen can be determined using A. 9 C 7 x 8 C 1 B. 16 C 8 C. 17 C 8 - 9 C 8 D. 8 C 1 x 16 C 8

NEED ANSWER ASAP. Assuming a 5.35% annual rate of return, compounded quarterly, how much interest would a person earn in a savings plan that has an initial deposit of $210 along with deposits of $100 at the end of each quarter for 20 years? about $14,774 about $30,039 about $29,750 about $6,564

Find any points at which the graph of f has either a horizontal or vertical tangent line. 1. f(x)= 3x^1/3-1 2. f(x)=x^2/3 (x^2-4) 3. f(x) = x^2/3 / x+1

A small electric immersion heater is used to heat 78 g of water for a cup of instant coffee. The heater is labeled "120 watts" (it converts electrical energy to thermal energy at this rate). Calculate the time required to bring all this water from 19C to 100C, ignoring any heat losses. (The specific heat of water is 4186 J/kgK.). Your answer in

A student government organization is selling Christmas trees as a fundraiser. On Friday, they sold 5 noble fir trees and 3 douglas fir trees for a total of $420. On Saturday, 12 noble fir trees and 9 douglas fir trees were sold for a total of $1,080. What is the cost per tree for each type?

In Onewayland, between every pair of cities there is a one-way highway in some direction. (A one-way highway is a road where traffic only flows in one direction.) To keep traffic moving quickly these highways only intersect within cities. Prove by induction , that as long as there are at least 2 cities in Onewayland, there exists a travel path

.____ _.__ _._.._ ._. J__. ____. 9. [2+2+2pt] Let us use the LUdecomposition to compute the inverse of a matrixa. (a) Describe an algorithm that uses the LEI-decomposition of an n x 71. matrix A for computing A'1 by solving n systems of equations (one for each unit vector). (b) Calculate the floating point operation count of this algorithm. (c)
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This is Numerical Analysis (Theory of Approximation) Consider the function Fm y) = (992 + 23)\" y- The purpose of this project is to approximate the level curve F (:19, y) = C by a trigono metric polynomial. Here 0 is 10\""1 times the number formed by the last 4 digits of your student ID. (For example, if your student ID number is 12345678, then C
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Table 11-9 Maximize Z=34 X1 + 43X2 +29X3 Sunject to 5X1 + 4X2+7X3

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6.5x2 - 20.4x + 234 x2 + 36 minutes after a person eats food containing sugar. 3. The function f(x) : models the pH level, f(x) oi the human mouth x a. Determine to the nearest tenth the pH level of the human mouth 42 minutes after a person eats food containing sugar. b. What is the equation of the horizontal asymptote associated with this
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y=2/3x+2 how would you graph the line I need help thanks?

4 . Suppose you want to test the hypotheses below at a O.OS significance level HO : mu ( 1 ) - mu ( 2 ) O HI : mu ( 1 ) - mu ( 2 ) ne . O You have the following information about a set of data . Samples are independent , and distributed normally Sample ( 1 ) : X - bar = 625 5 = 40 1 = 18 Sample ( 2 ) : x - bar 610 s = 25 1 = 13 What is the value
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35 Multiplying by 3/4 and then dividing by 3/5 is the same as dividing by what? A5/4 B1/3 CAL/3 D1/5 E4/5
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please help me understand so i may help my daughter with her hw Find the vertex. the focus. and the direotrix. Draw the graph of )(2 +6x+6y+21 =0. The focus is . (rype an ordered pair.) What is the direetrtx? Select the correct choice below and ll In the answer box to complete your choice. 0 A. The direotrix is y = O B. The directrix is x = Use
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A fitness club charges an initiation fee of $75 plus $36 per month. a. demonstrate a formula for a function, C ( x ), that gives the total cost for using the fitness club facilities after x months. C ( x ) =

In Sean' fish tank, there are 6 times as many goldfish as guppies. There are a total of 21 fish in the tank. How many more goldfish are there than guppies?

The cost of producing x items would be what if it cost $25,000.00 plus $5.00 each piece to produce ? C=?

When a factory operates from 6am to 6pm, its total fuel consumption varies according to the formula f(t)= 0.6t 2 -0.4t 0.6 +13 Where t is the time in hours after 6 am and f(t) is the number of barrels of fuel oil. What is the average rate of consumption from 6 am to 2pm? Please round your answer to 2 decimal places. _______ barrels per hour

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A de-generator with an internal resistance r develops V volts. If the variable resistance in the circuit is R, the power generated is P=V^2/(R+r). What resistance R gives the maximum Power? The answer is apparently 0. Why?

please Simplify the expression. 3(2a - 5) - 4(7a - 3)

this is not clear to me do you know how you graph the line with slope 2/3 passing through (1,3)

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following equation. Then

x|y 1|12.3 2|19.6 3|26.6 4|34.2 5|41.5 Graph the function by the table. Is the function linear or nonlinear? Linear Nonlinear Cannot be determined.

Waigs is expecting to receive a cash flow stream of $20,000 for five years, starting in three years. If the relevant discount rate for the entire period is 10%. What is the present value (pv) of this cash flow stream?

Discuss how "velocity" might be of use in real life.

A company determines that its marginal revenue per day is given by Upper R prime left parenthesis t right parenthesisR(t),where Upper R left parenthesis t right parenthesisR(t)is the total accumulatedrevenue, indollars, on the tth day. Thecompany's marginal cost per day is given by Upper C prime left parenthesis t right parenthesisC(t),where Upper

10. The Spanish u was a worldwide epidemic that began in 1913 and lasted approximately 2 years. During the rst few months of the epidemic= the u spread rapidly through a Canadian city as shown in the table below. Time (months) Number of Conrmed Cases 150 823 24 84 67'0\"! 14034 a. Determine the equation of the exponential regression ancom in the
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The 2010 census reported about 308.7 million people in the United States. The 2000 census reported a population of about 281.4 million. By about what percent did the population change? Did the population grow or shrink? Hint: To find the answer,find the difference of the populations. The population in the South in 2000 was 100,236,820. In 2010,

Questions 1-3. You invest $230 to start a sandwich stand and decide to charge $4.25 per sandwich. 1. Set up 3 Linear Model that determines your profit or loss based on the number of sandwiches. 2. How much money will you make if you sell 75 sandwiches? (round to the nearest cent) 3. How many sandwiches must you sell to make a $100 profit? {round
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would like 90% of customers to spend at least $10.00. What new average amount of spending would achieve this if we assume that standard deviation remains the same. (4 marks)
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QUESTION 5: 1.) An inspector selects seven parts (without replacement) 'om each batch of parts produced by a production line; the batch fails inspection if at least one of these seven parts is defective. (a) Compute the probability that a batch fails when it contains 80 parts, of which ve are defective. {b} Compute the probabilityr that a batch
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please I'm trying to get the answer for that question could any one help me ? Fill in each blank so that the resulting statement is true. In the following long division problem, most of the steps have been oompleted. (ixQ 2x+3Ex29x+5 szi-Qx 1BJ(+5 1Bx27 '? Completing the step designated by the question mark obtains . Thus. the quotient is and the
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Numerically find the minimum optimal feasible design (vector x) for each of the following problems using any gradient based search technique. for each run record the starting point and iteration history (plot a graph with objective function on y axis and iteration number on x axis), record also the final point at which the iteration terminated and

1?. Let A and B be square matrices {1f order three. Suppose that det A = 2, det B = 1. Find (1) det(3A), (ii) det(2B'1), {111} det(BTA'1)
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62) Suppose that the population of a certain town, in thousands, was 105 in 1990 and 141 in 2002. Assume that the population growth can be approximated by a straight line. Find the equation of a line which will estimate the population of the town, in thousands, in any given year since 1990. A) y = 2.5x + 105 where x is the number of years since
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A Product ' -' , 80. The d:l':.uh 'm "mm'dl demand of 1000 units lms l 1 "nd during the lead time follows a nomm ') . , ..5 and 5 => during the re. e firm desires at most a a. ll stm'Lrnuch safety stock is required, if th oc out on any given order cycle? b. If a manager sets the reor order cycle? How m given order points were used? this re 4 der

Problem 10 oThe total time T (in hours) of the trip as a function of the distance x (in miles).Make sure you show all your work to come up with this equation, and explain each step and what it represents. oThe domain of the function.Explain why this domain makes sense, and show work as needed. oGraph the function using the graphing utility on
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let n be an integer. Then 3n^3 +4n^2+5 is even if and only if n is even. What would be an appropriate way to begin a proof of this statement?

L= {b,c,e} I = {d,h,k find the intersection of L and I find the union of L and I and write the answer using set notation in roaster form

If we have seven comedy performers and one of them insists on being next to last and another insists on going last, in how many ways can we arrange the acts

4. Suppose a company that manufactures mountain bikes has a fixed monthly cost of $100,000 and that it costs $100 to produce each mountain bike. a. Write the cost function, C, of producing x mountain bikes. b. Write the average cost function, E, of producing x mountain bikes. c. Find and interpret 5(500), E(1,000) , 59,000) and E(4,000). d. What
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I am still confused about the following two provements, can you help me out? 4. Let G be a connected graph with at least one edge. (a) {5 marks} Prove that each vertex of G is saturated by some maximum matching in G. (b) {3 marks} Prove or disprove the following: Every edge of G is in some maximum matching of G
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The odds that Tia will pass Math this semester is 4:1 in favour. The odds that she will pass English are 1:9 against. If these events are independent, determine the probability, to the nearest hundredth that she will pass i. Math and English ii. Math and no English iii. Math or English Show answer using probability formulas, and a probability tree

IJ'EL'IHIUII 1. Full)\": H" 14' Action: Build a decision table from the following scenario. Then identify points of override or indifference and collapse it. Show both the initial matrix and the reduced matrix. Mary is trying to decide the graduate programs to which she will apply. She wants to stay in the southeast region of the United States,
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How long must you travel each day to get to work? Here is a stemplot of the average travel times to work for workers in the 50 states and the District of Columbia who are at least 16 years of age and dont work at home. The stems are whole minutes and the leaves are tenths of a minute. The state with the longest average travel time is New York. On

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. How many radians does the minute hand move from 3:35 to 3:55? How far does the tip of the minute hand travel during that time?

Consider the sequence 130, 143, 156, 169, ... explicit formula to represent the arithmetic sequence and use it to find the 13th term.

In mathematics, a sequence is an countable collection of objects in which repetitions are allowed. Like a set, it contains elements (called terms).Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Identify the properties of the sequence. s 1 =2,2=1,s 3 =3,s 4 =4,s 5 =7,s 6

Construct a polynomial function with the following properties: third degree, only real coefficients, 1 and 4+i are two of the zeros, y -intercept is 51

Implicit differentiation: 1.Find the slope of the tangent line to the graph at the point (2, 2). y^2(x^2+y^2)=2x^2 2.In a ballon when air expands the pressure and volume are related by the equation PV^0.3 = c (constant) Boyle's law. Suppose in one instant P= 7.5 pascal and V=100cm^3 and pressure increasing (dp/dt) at the rate of 5pa/min, then at

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12. What is the main strength of quantitative research - Describes the complexities of local situations - Produces integrated knowledge that informs theory and practice - Contributes to a complex understanding about events of phenomenon - Approximates causal relationships through experimental research studies
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STAT 330 Quiz 20 12102/2011 NAME and NAID _________________________ Choose the correct answer to each question from the list below. ______1. A motorist claims that the Fargo Police issue an average of 60 speeding tickets per day. A random sample of 100 days showed an average of 65 tickets issued with a standard deviation of 10. Which test should

I'm really struggling with this attached homework question. Any help would be greatly appreciated. Thank you. Let G be a nite group. Dene the group algebra (C[G] to be the vector space over (C with basis {Eg}geg, with the following rule for multiplication: Z \"939 * Z bgeg = Z Z a91b92 '39 (\"9,59 5 C)- gEG 960 96G 91,92EG 9192=9 In particular, eg
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To win the lottery in a certain state you must correctly select 7 distinct numbers from a collection of 40 numbers(1 through 40 ). You will win if your numbers match the winning numbers in any order. What is the probability of winning thelottery?

A total of 1000 passengers rode a bus during the morning rush hour. A child's fare is $0.25 and the adult fare is $0.75. The total revenue from the fares during the morning rush hour was $650. How many children and how many adults rode the bus? Have my final tomorrow if you could help me with this practice exam problem!

Line EF has an equation of a line y = 2x + 7. Which of the following could be an equation for a line that is perpendicular to line EF? (6 points) y =x 3 y = x 3 y = 2x 3 y = 2x 3

The question is attached below... thanks!!!!!!!!!!!!!!! 1. Sketch the graph of each of the following equations. If the graph is a line, label the coordinates of its intercepts. If the graph is a circle, label the coordinates of its center, and state its radius. a) y = -x + 6 b) (x4)2+(y+5)2=36 c) 3x6y=12
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I'm trying to separate this equation for integration: x(dv/dx)=(1-4v^2)/3v. I got stuck here: (dv3v)/1-4v^2)=(1/x)dx

1. A worker is welding on structural steel near a gantry crane. They are anchored 1 foot below their D ring using a 15foot shockabsorbing lanyard. Calculate the free-fall distance based upon the Dring location. Show all calculations
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f ( x ) = x 3 5 x , for all values of x find out if f ( x ) is continuous at x=2

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consider a basin with a rectangular base, 1000feet inland and 500feet across. let the y-axis be at the shoreline and the x-axis represent the low tide. the basin has a tidal range of 25feet, with the low tide corresonding to y=0. a) how much water does the basin hold at high tide? b)the amount of energy produced during the filling of the basin is

What type or how many solution would come from the equation of 3x 2 = - 7x - 7?

Cassie nished her undergraduate degree using money from a student loan. She earned $36,000 her rst year and paid $2,600 in interest. How much can she take as a deduction for AGI student loan interest
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3. Which functions have graphs that are less steep than the graph of f(x)=2X"2 ? Select each correct answer. k()
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salary of $32,500 per year ncludes benefits). The hourly workers will he paid $3.25 an hour. Monday through Fridays the owner expects an average of 15 customers an hour. Saturdays and Sundays the owner expects an ayerage of 40 customers an hour. Demand Rate: On average. lid of all customer will huyshrimp. lid of the customers will buy oysters. 1M
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Solve the problem. After taking a certain antibiotic, the amount of amoxicillin A ( t ), in milligrams, remaining in the patient's systemafter takingof amoxicillin is A ( t ) =1,000 e -0.49 t . How much amoxicillin is in the patient's systemafter taking the medication? Roundtenth of a mg. Select one: a.689.8mg b.229.9mg c.361.0mg d.33.9mg

3. Determine the intervallfs) cm which the mctinn is decreasing. 3. A. {1, 3} s. (2, 4:. c. (3.5, n) and {5.7, m} D. (051 _2} and (41 m) 4. Determine whether the graph nf y : |x+ 2+ is symmetric with respect tn the nrigj n, the xaxis, nr the yaxis. 4. A. nnt symmetric with respect tn the .rsxis, nnt symmetric with respect tn the ysxis, and not
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Solving Linear Equations and Inequalities Solve the following equation fors = P + b 2 s s=

solve. The function A=A0e-0.00866xmodels the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 900 pounds of the material are initially put into the vault, how many pounds will be left after 170 years?

please help me understand so i may help my daughter with her hw Solve the system of equations. x2yz = 6 x+6y3z = 18 2x11y+5z = 33 Select the correct choice below and ll in any answer boxes within your choice. 0 A- There is one solution. The solution is [ , , ). (Type exact answers in simplied form.) , .2] . O 3- There are innitely many solutions.
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A spacecraft moves along a path described by the parametric equations x = 10 ( 1 + t 4 1 ) , y = 40 t 3 2 for the first 100 sec after launch. Here, x and y are measured in meters, and t is measured in seconds. Find the magnitude and direction of both the velocity and the resultant acceleration of the spacecraft 18 seconds after launch. Round

A grocer purchases 100 apples. Find the standard deviation of bad apples assuming that 5% of apples are bad. (Round to two decimals.)

Project description Type your project, including equations, and submit via Blackboard by 5 pm on May 26. The recommended program for doing this is LaTeX (see http: //www.latex-project.org/) together with a graphical user interface such as TeXstudio. There are many instruction manuals and help forums for LaTeX online. Simplify mathematical

I am stuck on the formla for these ANd the word question is confusing, 1.2z 2 -8=-4z 2.(t-3) 2 =-40 3.y 2 +1/3y=2/3 4.A right triangle has side lengths that areconsecutive even integers.Use the Pythagorean theorem to find the lengths of those sides. Remember:In a right triangle where a and b are the measures of the legs and c is the measure of the

Problem (1): A company issued financial statements for the year ended December 31, but failed to include the following adjusting entries: A. Accrued service fees earned of $2,200. B. Depreciation expense of $8,000. C. Portion of office supplies (an asset) used $3,100. D. Accrued salaries of $5,200. E. Revenues of $7,200, originally recorded as
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The diagonal of a rectangle measures 61 cm. The width of the rectangle is 11 cm. Find the length of the rectangle. The lengh of the rectangle is ___ cm.

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How do you really know you understand a topic? Try explaining it to someone. Not only will it tell you if you understand it but it will actually help gain a better understanding. You may actually find yourself asking questions that you never really thought about. Understanding the relationship between the values of the six trigonometric and the

Graph the following non-linear system of equations and identify the two solutions. y=x2+6x+7 y=x+3

Find the equation of an ellipse in standard form that satisfies the following conditions Vertices at (-6,0) (6,0) (-3,1)(3,1)

Solve the following system of linear equations using the substitution method: 3x2y=18 5x+10y=10 Express answer as an ordered pair. Solve the following system of linear equations using the substitution method: -1/4x + 3/2y = 11 -1/8x + 1/3y = 3 Express answer as an ordered pair. Solve the following system of linear equations using the addition

find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution. dy/dx+y=e^3x

In the course of deriving the formula T=2pi sqrt (L/g) for the period of a pendulum of length L,one obtains the equation a(T)= -gsin0 for the tangential acceleration of the bob of the pendulum.For small angles,find the linear approximation at 0for sins,thereby giving us one for a(T). sinx=

George wins $990,550 (after taxes) in the lottery and decides to invest half of it in a 10-year CD that pays 3.35% interest compounded bi-yearly.He invests the other half in a retirement account that averages 7.75% interest compounded annually over the 10-year period.How much money will he have altogether in the two accounts at the end of the

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W's-1:1}. LULI-jl' 5 \"iii\" Ell- IlLI- lllLUIElil It'll-I: LLlEIIlSJSI EHH'HUHlmlE, W'l 15- LDC problem with dening a \"Terminal CAP\" with a normal distribution? Suggest a di'erent leind of distribution that might be more suitable and explain hon.r this distribution is likely to a'eet your [ER output compared with a normal distribution Will it
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2. Suppose that a certain society consists of only two people and that each of these people drives a car. Suppose that each person could voluntarily choose to put a pollution control device on his or her car. Installing such a device on one car costs Sl and provides a benet {in the form of cleaner air} that is worth $10 to each of the two people
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1)If the kinetic energy of 4,6kg falling rock is 2,970j, the rock speed is what? in m/s ...report in 2 decimals 2)Evaluate (5.0000 * 10^7)(3.80 * 10^-16) . Report 2 decimals for result

I am so confused on how to find excluded values for these two problems...Please explain for me.. 3a-1 / 5a+2 x+5/x^2-x-6

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