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Mathematics Questions and Answers October 16, 2021

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A scientist has a hypothesis that as the temperature rises (to a maximum of 95F), the proportion of people absent from work without just cause increases. He finds that at an outside temperature level x1= 80F, the proportion of absenteeism from work is \f\f\f\f\f
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Solve the following logarithmic equation. log Subscript 2 Baseline x equals log Subscript 8 Baseline 27 log 2x= log 827

ch 9 3. Calculate the gross earnings per pay period for the following pay schedule. Round dollars to the nearest cent. Annual Salary Monthly Semimonthly Biweekly Weekly $ $ $ $1,036.54 $

Find theslope-intercept form for the line satisfying the following conditions. x-intercept 3 , y-intercept 2/5 Theslope-intercept form for the line is ________?

ch 7 15. Calculate the following net price factor and net price. For convenience, round net price factor to five decimal places when necessary. Round the net price to the nearest cent. List Price Trade Discount Rates Net Price Factor Net Price $426.80 18/15/5 $

ch 7 13. Calculate the following trade discount and trade discount rate. Round answers to the nearest tenth of a percent and do not enter the percent symbol in your answer. Round dollar answers to the nearest cent. List Price Trade DiscountTradeDiscount Rate Net Price $2,500.00 $ % $1,945.00

Assume you are a project cost engineer calculating the cost of a repetitive activity for your project. There are a total of 20 iterations of this activity required for the project. The project activity takes 2.5 hours at its steady rate and the learning rate is 75% . Calculate the initial output time for the first unit produced, using the learning

\f\f-- 5 5 mama to anothel Question win save the 1mm rug 1n the biocdstteam It hourse aer Ina drug is mim ' The percent 01 concentraltun of a certain d bloodshaarn-roath ammd' _ metered does the concentra1m1n the nuts after the drug '15 admi the nearest month of an hr, [39 How many- h when number, round to answer is a 3,.I'. save 1-1215 wan-mas as
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Hans is going to rent a truck for one day. there are two companies he can choose from, and they have the following prices. Company A charges $117 and allowa unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.80 for every mile driven. For what mileage will Company A charge less than Company B? Use m for the number

According to the U.S. Census Bureau, the population of the United States in 2010 was 308.75 million people. The rate of growth in population was 0.57% per year. Assume that this rate of growth remains the same through 2025 . Explain why the population is an exponential function of time.What would you predict the U.S. population to be in 2025 ?

\f[1 point) Flncl tl'e general solutlon to tie homogeneous differential equation d2)! dy 12 72 = 0 all:2 d: + y The solution has the form J' = (2132(3) + Glitz\") with f1(r)= o is: andf2(t)= E) Le to your own devices, you will probably wrlte down the correct answers. but in case you want to qulbble, enter your answers so that the functions are
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I would need some help with those questions. Thank you very much! 6x (1 point) Represent the function 3 + x 2 a || || .9 || C3 = C4: Find the radius of convergence R = no as a power series f(x) = 2 cnx\" n: (1 point) Find the convergence set of the given power series: (ac2)" The above series converges for IA R IA (1 point) Find all the values of x
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For the data set below, [3} Determine the least-squares regression line. {b} lGraph the least-squares regression line on the scatter diagram. x34563g y354312 [3} Determine the least-squares regression line. ii: D): + 0:0 [Round to four decimal places as needed}
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MAP 2302 Differential Equations Summer 2017 Sample Exam 3 No calculating device will be allowed. For the exam, you can only use a pen/pencil. A Table for Laplace Transforms will be provided 1 2 . 1. Find the general solution to y 00 + 6y 0 + 9y = e3t . 1+t 1'. Find the general solution to y 00 + 4y 0 + 4y = e2t ln t. 2. Find the general solution

Need help on the attached math problems. Please show all work . 1.Solve the following equation for A: 2A/3 = 8 + 4A A. -2.4 B. 2.4 C. 1.3 D. -1.3 E. 0 2.Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive? A. $240 B. $480 C. $720 D. $960 E. $1,200 3.If r = 5 z then 15 z = 3 y, then r = A. y B. 2

Can you help me with this. I am trying to make sure my answers are correct Question 1: If the pension plan invests $95 million today in 10-year US Treasury bonds (riskless investment with guaranteed return) at an interest rate of 3.5 percent a year, how much will it have by the end of year 10? Question 2: If the pension plan needs to accumulate

The form of the expression for the functionf(t)=4-2(t+1) tells you a point on the graph and the slope of the graph. What are the points? I know the slope is -2 format is (a,b)

Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

show that the given function is one-to-one and find its inverse. Check your answers algebraically and graphically. Verify that the range of f is the domain of f 1 and vice-versa. f(x) = 3 ________ 4-x

Simplify the radical expressions 108 x 4 y 4 z 3

Five people sat an exam and scored as indicated. Geoffrey scored more than Vincent. Geoffrey scored same as Esther. Anthony scored less than Geoffrey. Susan scored less than Geoffrey. Who scored the least marks

Let f(x)=-x2-3x+5, g(x)=x3-14, and h(x)=-2x+7 Find the following: a) g(5)= b) g(-3)= c) f(4)= d) f(-2)= e) h(t-3)= Please show work

Set up the system of equations and then solve it by using an inverse matrix. A trust account manager has $2,000,000 to be invested in three different accounts. The accounts pay 6%, 8%, and 10%, and the goal is to earn $174,000 with the amount invested at 10% equal to the sum of the other two investments. To accomplish this, assume that x dollars

1.) Select the graph of y = -cos(-x). 1.) ___B_______ A) B) C) D) E) None of these 2.) Find the period of A) 5 3.) B) 6 C) ( y=5 sin 6 x + D) 12 2 ) . E) None of these Find the exact value of tan( + ) given that sin = and are between 0 and 2.) ____E______ 4 5 and sin = 5 13 and that 2 . Note these angles are Pythagorean Triples. 3.) __________ A)

1. Solve the equation and show the check of the answer: 2. Solve the equation by clearing decimals first, and show the check of the answer: 3. Solve the equation by clearing fractions first, and show the check of the

The count in a culture of bacteria was 200 after 2 hours and 12,800 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) (b) What was the initial size of the culture? (Round your answer to the nearest whole number.)

how do I solve the following problems: chelsea left the mall and traveled toward the ferry office. 2 hours later Micaela left the mall traveling 28 km/h faster in an effort to catch up. what was chelsea's average speed?

M Du 9 ml. 6 na 0/0 6 3 1 as "ou uk; * right angle. the graph below. Another straight trail Currently, Natalie and her friends are on a straight stretch oftrail, shown in green in (shown in blue below) meets their trail at a 100 90 so 70 60 -- so 40 30 20 10 Virgin Mobile Find the equation of the blue line in the form y=mx+b, where m is the slope

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The logistic growth model Upper H left parenthesis t right parenthesis equals StartFraction 6000 Over 1 plus 4 e Superscript negative 0.51 t EndFraction H(t)=60001+4 e 0.51t represents the number of families that own a home in a certain small(but growing) city t years after 1980 1980 . a right parenthesis a) What is the maximum number of families

can you explain how to solve the equation and show the check of the potential answer. k + 3 / k + 6 = 1 - 3 / k^2 + 8k + 12

Question: Your portfolio manager has suggested the following three companies for investment purposes: Epsilon NanoTech,Zeta Functions, and Delta Derivatives. Epsilon NanoTech shares cost $28 per share, Zeta Functions shares cost $12 per share, and Delta Derivatives shares cost $12 per share. You have $2,532 to invest, wish to hold 4/10 the number

Let X 1 ,... X 6 be independent Uniform (0, 10) random variables. Find the expected value for the random variables X (6) , the maximum of the six values. Please show all work.

"nw-.." fi. if. umm m lsu mgm mw mm: mm "wim: wanna" WIM; " Calculator ' i:. 'f ' .- ll."-.jl;H! 6 Find the inverse of the given matrix, if it: exists. a) No inverse exists. L it '22 44 d) -L .L ii ii -L "9- 22 as e ) .L -.L ii 11 f) Nonc of the above. Questian9 ' Find the inverse of the given matrix, if it exists; imr"

The whole sale price for a chair is # 101, a certain furniture store Marks up the wholesale price by 37%. Find the price of the chair in the furniture store . Round the answer to the nearest cant, as necessary
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Sales in May increased 16 2/3% over April sales. IF may sales amounted to $24 535, what were April sales?

1.) The price of a small cabin is $ 30,000 . The bank requires a5% down payment. The buyer is offered two mortgageoptions: 20-year fixed at 9 % or30-year fixed at 9 %. Calculate the amount of interest paid for each option. How much does the buyer save in interest with the20-year option? find the monthly payment for the 20 year option. 2.)Yolanda

The following table shows the numbe of hits (h), number of at-bats (ab), and batting average (avg = h/ab) for major leaguers and derek jeter and david justice in 1995 and 19996. Jester (1995) H - 12 AB - 48 AVG - 250 (1996) H - 183 AB - 582 AVG - 314 Justice (1995) H - 104 AB - 411 AVG - 253 (1996) H - 45 AB - 140 AVG - 321 A. Which player had the

3 MATH:3800/CS:3700 1. Use bisection to find the solution of x = 2 sin x closest to x = /2. Use = 106 . What is the initial interval [a, b] that you use? Report the computed solution. Estimate its error by computing x 2 sin x at the computed solution. You can use the posted code bisect.m. 2. From the solution estimate computed in Q1, can you tell

Is y=8x+8 a solution of the differential equation dy/dx= y/x+1

Elaine Walster and colleagues (1966) conducted a study in which they arrange dates for partners who met and talked for hours. Afterwards, participants indicated whether they were interested in another date. What characteristic(s) of people predicted whether their date would be interested in another date with them? Question 44Answer a. Sense of

E-Loan, an online lendingservice, recently offered 4 8 -month auto loans at 3 .9 % compounded monthly to applicants with good credit ratings. If you have a good credit rating and can afford monthly payments of $549 , how much can you borrow from E-Loan? What is the total interest you will pay for thisloan? You can borrow $ (Round to two decimal

The solution to the pair of simultaneous equations below is : 4x +6y = -10 2x -3y =. 15

Determine whether the graph of y=x 3 +2 is systematic with respect to the y-axis, and the x-axis, or the y-axis. The correct answer will be? A. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and not symmetric with respect to the origin B. symmetric with respect to the x-axis only C. symmetric with respect to

I cannot find the answers to these questions. The formulas I have don't seem to be working and I keep getting error messages on my calculator. Thanks! Use this information to answer Questions 3 6 below. On January 1, 2013, an investor deposited $2000 in an investment account. By January 1, 2015, the balance had grown to $2061.70. Question 3 (1
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Thank You to anyone who helps me you're all the best!!! I promise to stop asking (hopefully) Divide. 42 7 Select the correct choice below and ll in any answer boxes within your choice. A. 42 T=D O B. The expression is undened
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5) Solve the following equation and check your answer in the original equation. Please show all work INCLUDING the check: (8 x +9)5(3+ x )= 4 x

During a 20-minute rainstorm, a depth of 40 mm of rainfall was recorded in an area of 1.0 ha. Compute the total volume of water that fell on that area during the storm in m 3?

I need to find the Solution sets: problems 6 - 10 If no solution set please indicate. Thanks. 6) Square root of 8x-5 = Square root of 7x+1 7) Cubed root of 2x+23 = 3 9) Square root of x+2 + Square root of x-1 =3 10)(x+6) to the 1/2 power + 7 = 4 Thanks, Dori

To calculate the perimeter of a square, which formula(s) can be used? P = s 2 P = 4 s P = s + s + s P = s + s + s + s

ID: MATH 239 Assignment 10, Winter 2017, Page 1 of 4 Initials: 1. {6 marks} Fix k 1. Find the generating series for binary strings with no 01k 0 substring (where 1k means k copies of 1). Justify your decomposition and write your generating series as a ratio of polynomials. ID: MATH 239 Assignment 10, Winter 2017, Page 2 of 4 Initials: 2. {6 marks}

15 math questions! 1. A cylinder has a radius of 5 feet and a height of 3 Feet. I.Ilul'hicl'i ofthe following can be used to calculate the volume D'Fa Gone that ts exactly inside the cylinder? 0 (3-14li52l O 1 [3.143(52xs) 3 Q (3.143(31n5) O 1 [3.143(31)(5) 3 A spherical sh bowl is halflled with water. The center ofthe bowl is (If and the length
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Write the partial fraction decomposition of the rational expression x/(x 2 - 9x + 20)

1.The area of a square is equal to twice the perimeter of the square. Find the area of the square. 8 units 2 64 units 2 16 units 2 32 units 2 2. Betsy wants to paint the walls of her bedroom. Her bedroom measures 8 ft. by 10 ft. and has 8 ft. ceilings. Not counting doors and windows, how many square feet of wall will Betsy need to paint? 288 80

Calculate the left Riemann sum for the given function over the given interval, using the given value of n . (When rounding, round your answer to four decimal places.) HINT [See Example 3.] f ( x ) = 34 102 x over [1, 1], n = 4

Can you write this question a different way. But basically say the same thing? THANKS! The intermediate value theorem states that if a and b are real numbers where a

1) (a) What is the coefficient of x 3 y 4 in(-3x + 4y) 7 ? (b) What is the coefficient of x 2 y 7 in(5x - y) 9 ? (c) What is the coefficient of x 5 y 3 in(3x - 4y) 8 ? (d) What is the coefficient of x 6 y 1 in(-2x - 5y) 7 ? 2) Use the binomial theorem to nd a oloeed forrn expression equivalent to the following some: (a) Z (1;) 3'14)\" k= W k=
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Compute the double integral (6xy+32x) dxdy where R is the diamond-shaped region around the origin which is bounded by the lines x + 2y = 2, x2y = 2, x + 2y = 2, x2y = 2

finding the domain of radical functions radical functions| domain written in interval notation | domain written as an inequality | f(x)=18x+4 ________________ _________________ g(x)=-5-13x+9 ____________ _______________ f(x)=7+9x+20 ______________ ____________ p(x)=-12+17x ______________ ________________

Find the equation of the line tangent to y= x^1/2 when x=1. Use this tangent line to approximate (1.008)^1/2 without using a calculator.

I'm a little confused this is a finance question I think. So I don't quite understand what equation would fit in this circumstance but if possible what equation would suit this question best? Question 4 (1 point) Questions 4 - 6 involve the same situation and equation. A young entrepreneur borrowed $4,000 to start a small business. The interest
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You want to test your hypothesis that members of The Church of Jesus Christ of Latter-Day Saints have a longer life expectancy than members of other churches. The null hypothesis would be: Members of the Church of Jesus Christ of Latter-Day Saints have a longer life expectancy than members of other churches. Members of the Church of Jesus Christ

What is the number of observations in the data set? Considering the number of observations, what is one fundamental assumption that is "automatically" satisfied for the parametric analysis? What other three assumptions do you assume when conducting a parametric analysis

Basically just need help at the step where you divide both sides by 0.12. Why is it (0.06 / 0.12) x (1+D/E)? When you divide by 0.12 at that step, shouldn't it be (0.06x(1+D/E)) / 0.12? I suck at algebra, is there a rearrangement happening here that I'm missing? Please help! Growth rate = 0.12 Dividend payout = 0.1 Total assets / sales = A/S = 1.5

Translate the sentence into an equation . Three more than the quotient of a number and8is6 Use the variable b for the unknown number.

(1 point) A oor renishing company charges $1.8? per square foot to strip and renish a tile oor for up to 1000 square feet. There is an additional charge of $2?5 for toxic waste disposal for anyjob which includes more than 150 square feet of le. (a) Find an equation for the amount 0 (in dollars) they will charge to renish a floor which is a: square
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A large rectangular movie screen in an IMAX theater has an area of 12,054 square feet. Find the dimensions of the screen if it is 25 feet longer than it is wide. length?width?

Suppose f : R R and x0 is a given real number. Halley's Method of f starting at x0 is given by the sequence xn+1 = xn 1 for finding a root 2f (xn )f 0 (xn ) , n0 2f 0 (xn )2 f (xn )f 00 (xn ) f which This method is obtained by applying Newton's method to the function p |f 0 | has the same roots as f . Although this method requires evaluation of f

The accompanying table shows the number of deaths per 100,000 people from heart disease in selected years. \f
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Find the probability of winning second prizethat is, picking five of the six winning numberswith a 6/54 lottery. ( Enter your answer as a fraction .)

A company is selecting 5 people to be on a committee. There are 23 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random?

V L L; mathxl.com

Please help me solve this DE on Laplace transformation ( part 2 only) 0, t
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1. Report your 1) independent variable and 2) dependent variable. In a few sentences, explain why you think your independent variable might influence the dependent variable. For this project I decided to assess the relationship between number of children, the independent variable, and the respondent's perception of government support for daycare

Give an equation of the form f(x) =a^x to define the exponential function whose graph contains the point ( 4 , 1 6 ) . f(x)=

the science museum charges $14 for adult admission and $ 11 for each child. the total bill for 68 people from a school field trip was 784. how many adults and how many children went to the museum?

Let A R be non-empty and bounded below. Show that inf A = sup{b : b is a lower bound for A}

Find the number of permutations of the first 9 letters of the alphabet taking 6 letters at a time.

for the equation 4x+3y=-12 a)complete the table |x__|y_| |___| 0 | |0__|__| b) graph the two points found in the table to graph the line

Let f(x)=x -2and g(x) = x 2 x. Find and simplify the expression. (f+g)(5)=

Not sure what they mean by "die". Am guessing them meant "dice"? Probability guidance please and thank you. \f
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1 As shown in the figure below, a camera is mounted on a point 30 m from the base of a rocket launching pad. The rocket rises vertically when launched, and the camera's angle is continually adjusted to follow the base of the rocket. a Express the height x as a function of the elevation angle . b Give the domain of the function in part a. c 2 Give

What is the quotient in simplest form ? State any restrictions available \f
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I have two math 308 problems, they are about matrices. The problems are attached. \f
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1.) You take out an amortized loan for $ 6,000 to be paid back over three years at an interest rate of 8.24 %. What are the monthly payments on theloan?round to the nearest cent as needed.

60. Hospital Expansion A hospital has four members on the board of directors: Arnold, Benitez, Cathy, and Dominique. a) When the members vote on whether to add a wing to the hospital, how many different ways can they vote (abstentions are not allowed)? For example, Arnold yes, Benitezno, Cathyno, and Dominiqueyes is one of the many possibilities.

Is the triangle with the vertices A(5,3), B(0,7), and C(22,33) a right triangle

1. (1 point) 3. (1 point) (Note: This problem is similar to problem 6 in section 1.1 of your textbook.) (Note: This problem is similar to problems 1-3 in section 1.1 of your text.) Let U = {3, 4, 6, 7, 8}, A = {4, 7}, and B = {6, 8}. In each of the following questions, find the indicated set; give your answer in list form, i.e., the way that U, A,

use the Kunneth formula to compute the Betti number of the group U(2) of two-by-two unitary matrices.

I am confused and I need help answering this question, thank you. Evaluate the expression by hand. 2342 3-42 2342 2 = E (Type an integer or a simplied fraction.) 3 -4
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ASC 315 - Summer 2017 Page 1 of 2 ASC 315 Project DUE: Thursday, July 20, 2017 by 11:59 pm Submit via blackboard instructions. This is an individual project. It is worth 100 points. Your work must be clear and neat. You must document your resources (where appropriate) when answering the parts of the project. This is a requirement as part of the

1) A degree 4 polynomial with integer coefficients has zeros52i and 1, with 1 a zero of multiplicity 2. If the coefficient ofx^4is 1, 2) Given thatf(x) is a cubic function with zeros at5and3i4, find an equation forf(x)given thatf(9)=10.

Perform the operation. Simplify, if possible. 4h h 7 + 9 5h The boxes represent division, so (9)/(5h) and Perform the operation. Simplify, if possible. 7 2c 2 2c 5 2c2

3.You are buying your first home and need to get a loan for $200,000. Compare these two options: Loan A: a 30-year loan with APR of 4.2% Loan B: a 20-year loan with an APR of 3.9% (c) How much more, in total (at the end of each loan), will you pay for loan A than for loan B? Please DO NOT include dollar sign ($) with your answer, and do not worry

Harmonic Series, Just Intonation and Pythagorean Tuning Calculate 5 different frequencies for C4 (Middle C), rounding each, if necessary, to the nearest 0.001 Hz. Show your work and name the tuning system used in each case. For each of these, A4 must have a frequency of 440 Hertz, and an octave must have 12 half-steps (as is normal). [Each correct

15. [-/2 Points] DETAILS SCOLALG7 3.5.007.MI. A polynomial P is given. P(x) = x4+ 16x2 (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repeti X = (b) Factor P completely. P(X) =
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Convert to polar coordinates and evaluate the following double integral: 1 2 0 4 x 2 ( x 2 + y 2 ) 2 1 d y d x

A red die and a green die are tossed. What is the probability that a 3 came up on the green die if it is known that the sum of the 2 dice is 4?

Clear County Cable Television charges a $25 installation fee and $20 per month for 'basic' service. An equation that can be used to determine the total cost, C(t) , of t months of basic cable television service. a.Find the total cost of 6 months of service. b.For how months of service will the total cost be $490

Hi, I need help with 2 number 1 questions! Please show me how I can determine diverges and converges. Also, the partial fraction question I need to see how to solve it in order to do the enxt one on my own. Thanks a lot!

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