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Mathematics Questions and Answers November 07, 2021

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Mathematics has been called the science of pattern recognition . Spend a little time contemplating this definition and then comment on how an improved ability to recognize patterns inherent in behavior, business data, weather, and the many other areas of human involvement could impact your life in a positive manner.

The sum of two numbers is 65. One number is 4times as large as the other. What are the numbers? larger #? Smaller #?

PLease help Thank you very much List the intercepts and test for symmetry y=-7x^5/x^2-25

The 2014 winner of the Boston Marathon runs as many as 120 miles per week. During the last few weeks of his training for an event, his mileage can be modeled by M(w) = 120(.90) w 1 , where w represents the number of weeks since training began. Which statement is true about the model M(w)? 1) The number of miles he runs will increase by 90% each

Solve 6cos 2 (2x) - 9/2 = 0 over the interval [0, ). (Show all work.) a. x= /12 , x=5 /12 b. x= /12 , x=5 /12 , x=7 /12 , x=11 /12 c. x= /12 , x=11 /12 d. x= /12 e. x=5 /12 , x=7 /12 f. None of the above.

Deon can choose Plan A or Plan B for his long distance charges. For each plan, cost (in dollars) depends on minutes used (per month) as shown below. \f
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Please help with the following questions and give the explanation when necessary. Please show the infimum, mimumum, maximum, supremum. Thanks in advance. \f
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The demand function for a good isp=900q2 . Find the consumer surplus when 20 units are sold.

a company of shoes has determined the cost of "x" shoes to pack on a day, like this c(x) = 0.002x^2 + 0.52 +160. If every pack is sold at $4.00 how much the daily production of it would have to be to have the maximum profit.

1.In a study of 67 college students, 45 of them gained weight in their freshman year. a)What is the best point estimate of the percentage of college students who gain weight their freshman year? Round decimal to four places. b)Construct a 98% confidence interval estimate of the percentage of college students who gain weight in their freshman

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Find the different quotient for the function f(x). Begin with the formula for the difference quotient and simplify your answer completely. f(x)=x 2 +6x-5

Let f(x) = 4x - 5 and g(x) = 6x - 3. Find f(x) - g(x). A. -2x - 8 B. -2x - 2 C. 2x - 5 D. 2x + 5

find the quotient and reaminder using long division for 2x^3-4x^2+7x-9 2x^2+5 the quotient is _____________________ the remainder is _____________________

Project 2: A bead sliding along a rod Simple Harmonic Motion Free Sliding Bead A is constrained to slide along a rod of length . The rod is rotating in a vertical plane beadwith a constant angular speed, , about a pivot in the middle of the rod. The pivot allows the bead to freely slide along the rod, i.e. the pivot does not impede the movement of

Assume that you want to construct a 95% confidence interval estimate of a population mean. Find an estimate of the sample size needed to obtain the specified margin of error for the 95% confidence interval. The sample standard deviation is given below. Margin of error equals $ 3 , standard deviation equals $ 22 The required sample size is

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at $0.39 per bushel, the daily supply for wheat is 456 bushels and the daily demand is 564 bushels. When the price is raised to $0.75 per bushel, the daily supply increases to 576 bushels, and the daily demand decreases to 3.84 bushels.Assume that the price supply and the price demand equations are linear. a) find the price supply equation b)find

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x=y 2 -1 Give the domain, range, describe the graph, discuss the transformation if it wasmoved 3 spaces up and 4 spaces to the left. Incorporate the words Function, (whether or not it is) relation, vertical line test and transformation.

Let be a function of three variables and let = (^2 - ^2, ^2 - ^2, ^2 - ^2). [-Alpha;-Beta;-Gamma] Show that (/) + (/) + (/) = 0

The length of a top of the table is 5m greater than the width. The area is 84 m ^2. Find the dimensions of the table The width of the table is? m The length of the table is ? m

Formulate the problem of placing n + 1 balls in n boxes as a binary integer program. Each ball must have a box, and for every box and every pair of balls at most one them can get into the box. Argue that this problem has an empty feasible region. Also show that the LP relaxation with {0, 1} \ rightarrow [0, 1] has a nonempty feasible region

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Not sure how to convert the general form of the circle into standard form. x 2 +y2 + 6x-14y+54=0

DSCI 2710 PRACTICE EXAM 2-A 1. One of the following statements is false and the other four are true. Identify the false statement. a. For two events, A and B, P(A and B) is equal to P(A)AP(B) provided A and B are independent. (*) b. If P(A|B) = P(A) then events A and B are mutually exclusive. no, they are independent c. For any two events, A and

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Please help be determine how long will it take$200 to double if it is invested at 7% annual interest compounded two times a year?

For each of the following integrals find an appropriate trigonometric substitution of the formx=f(t)xftto simplify the integral. a)(8x^25)^ 3 / 2 dx x= b)(x^2)/(sqrt(3x^2+2)dx x= c) xsqrt(5x^2+30x+39)dx x= d)(x)/(sqrt(-120-5x^2-50x))dx x=

Determine whether the pair of equations represents parallel lines? 12x + 4y=16 21x + 7y=30

12.Determine the ordered pair solution of the equation x + 2y = 8, given (-4, ). a. 6 b. 16 c. -16 d. -6

Calculate the indicated Riemann sum S 5 for the function f(x)=30-5x 2 . Partition [-3,7] into five subintervals of equal length and for each subinterval [x k-1 ,x k ], let c k = (x k-1 + x k ) / 2

Math - subject Pre-Calculus / chapter 4.2 the natural exponential function question: a)find the inverse function of and, b) what is the domain of the inverse function f(x) = 2 x / 1+2 x Please help! Can't figure out, we are not sure if the professor had mistakenly wrote this question Please show your work step by step Thank you.

have 2 questions Q.1 A ball is rolled uphill a distance of 13 meters before it slows, stops, and begins to roll back. The ball rolls downhill 22 meters before coming to rest against a tree. What is the magnitude of the balls displacement?_______m Q.2 What is the speed of a bobsled whose distance-time graph indicates that it traveled 105m

Find ihe real zeros of the given polynomial and lheir corresponding muliiplioiiies. I.Ise ihis informoiion along wii'h I: sign ohori lo provide a rough skeioh of re groph of the polynomial. Compare yo ur onswer wilh the resuil' from o graphing uiilihr. i. hm] = 1:31}: 2}3{x + 2):\" Eero I: Mul'ripliciiy: Eero 2: Mul'ripliciiy: Eero 3: Mul'ripliciiy

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9 For the following problem, complete the table to the right then solve the problem using a system of equations. A person wishes to mix coffee worth $12 per pound with coffee worth $6 per pound to get 90 pounds of a mixture worth $8 per pound. How many pounds of the $12 and the $6 coffees will be needed? Please see pictures also and show all work

what is the probability of getting a head when a fair coin is tossed once

sharon needs 64 credits to graduate, she has 56, what percentage does she have?

A packaging company will only accept packages for shipmentif the sum oftheir length, width, andheight isexactly90inches. What is an equationforthe size restriction if theboxhasa square base(length = width). Use x for the base and width, and h for height.Volume of the box, in terms of x and h? Determine the function for the volume of the box ONLY

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(1) A Company has a 600-meter jogging trail.There are 1609.34 meters in 1 mile. How many miles would you need to jog to complete 1.5miles? (Round up to a full lap)? (2) Mary made 10% more than Susan before Susan's 50 cent per hour raise to$23 per hour. How much does Mary make per hour? (3) An employee makes a gross salary of $46,000 per year. 20%

W10. 1.The price of a particular model is $ 15 , 000 today and rises with time at a constant rate of $ 650 per year. a) Write an equation for the linear function using t tas the variable. b) How much will a new car cost in 3.5 years? $_____

Please explain g is uniformly continuous or not. I need right answer and explanation. Dene _ msini ifma 9(m)'{0 ifac= Is 9 continuous at 0? Is 9 di'erentiable 3.1: 0? Is 9 uniformly continuous on the interval [0,1]
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Mrs. Bell expects to retire in 7 years and would like to receive $800 at the end of each month for 10 years following the date of her retirement. How much must Mrs. Bell deposit today in an account paying 7.5% compounded semi-annually to receive monthly payments?

Problem Add the following vectors: A = 349, A = 184 and B = 284, B = 338 Round your answers to one decimal place. Show your work by using and equation editor.

The Phan family drives 10,000 miles/year. Their car averages 28 mpg. What will they spend on gas for a year when gas, in their city, costs $3.259/gallon? a. $109.59 b. $1163.93 c. $8591.59 d. $11,639.30

Pleas explain how to work these by showing steps, thanks! -1 <4+5x 19 And. 2x+3 -1

Find the volume of the oblique segment of the paraboloid z = x2 + y2 and the plane T: z = y + 2 with x>= 0. [Hint: use dV = dxdzdy] [ Assume distance in meters].

If A (5, 5), B (3, 3), C (6, 8), and D (-3, 4), then which segment is the shortest? AB BC CD BD

Using the average daily balance method and the information given, find the credit card average daily balance for the month of August (31 days). The annual interest rate is 18%. (Round to the nearest cent.) July 31 Balance $ 310 August 9 Charge $ 87 August 10 Payment $ 290 August 17 Charge $ 173 August 27 Charge $ 44 The average daily balance for

4x+y-8=0 what is slope and y intercept, answer only

Assuming an 4.15% rate of return, compounded quarterly, how much interest would a person earn in a savings plan that has quarterly payments of $105 at the end of each quarter for 10 years? about $972.95 about $296.05 about $4,200 about $5,172.95

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For an arc lengths, area of sectorA, and central angle theta of a circle of radiusr, find the indicated quantity for the given values. A=.248ft^2 theta=326 degrees

fill in the blanks with numbers of your choice so that each equation has the given solution. -5x-_______=_________; solution:2

Suppose R is a partial order on A and S is a partial order on B. Define a relation T on A B such that (a 1 , b 1 ) T (a 2 , b 2 ) iff a 1 R a 2 and b 1 S b 2 . Is T a partial order on A x B? Either provide a proof to show that this is true or provide a counterexample to show that this is false.

The position of a particle in the xy-plane at time t is r(t)= (e^t)i + (2/27e^3t)j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at t=ln3

3. Using the data set Homework 1_Exams, determine the skewness and kurtosis for the variable numeracy. Describe the skewness and kurtosis. Since the data does not appear normal, transform the data and quantify any improvement to normality

Find the interest rate (with annual compounding) that makes the statement true. Round to the nearest tenth when necessary. $4081 grows to $8404.54 in 21 years

1. Perform the indicated operations and write the answer in scientific notation: 5.210 4.510 3 5 2. Simplify. Write the answer using positive exponents only. 3x 7 8 y 5x 2 12 y 3. Simplify. Write the answer using positive exponents only. 2 2 x 5 y 3 4

Need help solving this equation? Is there any one that can help? 1+2+3+...+415=

The net of a cone also resembles what other shape? A. a section of a cylinder B. a circle C. a cylinder D. a sector of a circle 2. Find the volume of the figure below. \f\f\f
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Nicholas sold pounds of shrimp in 4 hours. So, he sells shrimp at a rate of pounds of shrimp per hour.At this rate, he would sellpounds of shrimp in 9 hours.

Please see the attached screen shot. This is for college algebra Solve the system of equations. (If there is no solution, enter NO SOLUTION.) x212x+y2=19 2x+y =10 (X, y) = _ x )(smallerxvalue) (X, y) = _ )(larger xvalue)
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State the Arithmetic-Geometric Mean Inequality? (2)Using (1) show that if x > 0, y > 0 and z > 0, that x/y + y/z + z/x > 3

Using the average daily balance method and the information given, find the credit card average daily balance for the month of August (31 days). The annual interest rate is 18%. (Round to the nearest cent.) July 31 Balance $ 420 August 4 Charge $ 86 August 11 Payment $ 350 August 18 Charge $ 171 August 22 Charge $ 35 The average daily balance for

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Find the dimensions at a rectangle whese perimeter is 26 meters and whese area is 4G square meters. The sides at the rectangle measure D meters. [Use a eemma te separate answers as needed}
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Hey, I'm looking for solutions to a math question for the homework, what's the best way to find the right homework without just unlocking everything?

Help me solve evaluating each expression 9x3-16, 4. Please show steps

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion. Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, x = 226,450 miles, and s =

You are taking a multiple-choice test that has 66 questions. Each of the questions has 33 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?

Find an equation for the ellipse with foci(1, 1) and(1,1) and major axis of length 4.

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Solve the solution set and select the correct choice. |b-6/7|=|6b/7 -7|

Bill estimates that 20 people will attend the seminar if it does not rain and 12 people will attend if it rains.The weather forecast indicates a 40% chance it will not rain and a 60% chance it will rain on the day of the seminar.Determine the expected number of people who will attend the seminar. 12.8 14.6 15.2 18.7

One specialist estimated a procedure at $350. A second specialist estimated the same procedure for 20% less. What was the second estimate?

A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following results: Even number = lose $7 1 or 3 = win $2 5 = win $11 What is the expected value of the game?

Write 17x + 3y = 10 in slope-intercept form. a. y = 17x/3 + 10/3 b. y = 17x - 10 c. y = 17x/3 - 10/3 d. y = -17x/3 + 10/3

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22). Data collected at Toronto Pearson International Airport suggests that an exponential distribution with lambda=.37 is a good model for rainfall duration in hours (Urban Stormwater Management Planning with Analytical Probabilistic Models, 2000, p.69). b). What must the duration of a rainfall be to place it among the longest 5% of all times?

Gt. F(=x) x a. F(x)= 3 1 -2 x 2x 4 3 4 3 4 O c. F(x) 3 4 4 3 -' '-X Ca D. F(X)= 3x 2 Cfiek to select your answer and then click Check

Need the following Algebra question answered ASAP, The question is attached to this question in a picture format \f
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The formula S =16t ^2 is used to approximate the distance S, in feet, that an object falls freely from rest in T seconds. The height of the building is 1133 feet. How long will it take for an object to fall from the top? Please show work

Choose the correct simplification of the expression a to the 6th power times b to the 3rd power all over a to the 4th power times b to the second power. a to the second power over b a10b5 a to the 10th power over b to the 5th power a2b

f(X)= x2 -4x-2 g(x) =x +7 find ( F+G)( X) thanks in advance

You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a jack the first time and a diamond the second time.

Find the amount that results from the investment of $480 invested at 6% compounded quarterly after a period of 3 years. a. $573.90 b. $93.9 c. $565.42 d. $571.69

Create one formative and one summative assessment that aligns to the selected state standard. CCSS.MATH.CONTENT.K.CC.B.4.A When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object.

Suppose that there are two types of tickets to show advance and same day. The combined cost of one advance ticket and one same day ticket is $70.00for one performance. 20 advance tickets and 25 same day tickets were sold. The total amount paid for the tickets was $1550. What was the price of each kind of ticket>

Hello, I have just completed the work for a Statistcs hw. There is one small question I am stuck on. Attached are the questions I answered and the a graph I need help with . (SEE GRAPH ATTACHMENT) (11 p1s)A sample of 12 students were asked how many hours they each watched television per week. x, and their GPA, y. 161115 2318 22 2|] 3.8 3.5 3.8 3.8
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Johnny is designing a rectangular poster 15 in^2 of printing with 3 inch margin at the top and bottom and a 5 inch at each side. What overall dimensions will minimize the amount of paper used.

A telephone number consists of seven digits, and the first digit cannot be a zero or a one. How many telephone numbers have no repeated digits?

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