Basic Math Questions and Answers

A steel wire 25 ft long hanging vertically supports a load of 0 65 kips Neglecting the weight of the wire determine the required diameter if the stress is not to exceed 36 ksi and the total elongation is not to exceed 0 25 in Assume E 29 10 6 psi A B C 0 1516 in 0 1958 in 0 1851 in 01754 in

The rigid bar ABC shown in figure is hinged at A and supported by a steel rod at B Determine the largest load P that can be applied at C if the stress in the steel rod is limited to 45 ksi and the vertical movement of end C must not exceed 0 15 in A A 7 54 kips B 3 ft C 11 7 kips 18 85 kips B Steel L 5 ft A 0 65 in 2 E 29 x 10 6 psi 4 5 ft P C

A 6 in long bronze tube with closed ends is 2 5 in in diameter with a wall thickness of 0 10 in With no internal pressure the tube just fits between two rigid end walls Calculate the longitudinal stress for an internal pressure of 4500 psi Assume v 0 35 and E 12 10 6 psi A B 18500 psi 19687 5 psi C 56250 psi

Complete the following table Use Exhibit 1 B Round time value factors to 3 decimal places intermediate calculations and final answers to 2 decimal places Annual Rate of Number Deposit Return of Years 2 500 8 8 2 500 2 500 2 500 12 8 12 8 16 16 Investment Value at the End of Time Period LA LA LA 0000 Total Amount of Investment S 0000 Total Amount of Interest or Earnings SA 0000 S

Graph two periods of the given cosecant function 1 A Ay Choose the correct graph below 5 CSC 0 X 3 3x 81 91 121 inn Ly B Ay 5 0 AT Ar 12x 237 C Ay U 3 6 9 12

5 Determine the amplitude of the function y sin x Graph the function and y sin x

Graph two periods of the given tangent function 1 tan 4x 2 Choose the correct graph of two periods of y tan 4x below 2 O A 18 fice 3r Q 5 OB 18 00 57 O C I 8 100 8 500 27

a survey of 1018 people 768 people said they voted in a recent presidential election Voting records show that 73 of eligible voters actually did vote Given that 73 of eligible voters actuall id vote a find the probability that among 1018 randomly selected voters at least 768 actually did vote b What do the results from part e suggest a P X2 768 b What does the result from part a suggest Round to four decimal places as needed OA Some people are being less than honest because P x 2 768 is at least 1 OB People are being honest because the probability of P x 2 768 is at least 1 OC Some people are being less than honest because P x2768 is less than 5 OD People are being honest because the probability of P x2 768 is less than 5 CEIXE

Chrome File Edit View History CP Links DZL Homepage MAT172 N820 P X M Gmail DZL Brightspace Bookmarks Profiles Tab Wi www awu aleks com alekscgi x lsl exe 1o u IgNslkr7j8P ALEKS Lana Butler Learn OGRAPHS AND FUNCTIONS Translating the graph of a function One step Part a Translate each graph as specified below a The graph of y f x is shown Translate it to get the gra b The graph of y g x is shown Translate it to get the gra

Savanah along with the help of some friends is trying to gather some data abou the favorite colors of various people at the Strong Museum of Play Since she cannot talk to everyone in the museum she has come up with eight different ways of sampling the guests For each of the following Determine which of the 5 techniques random systematic cluster stratified or convenience best describes the sampling method State if you would consider the method as biased or unbiased 1 Savanah collects the names of all the visitors from the day and randomly selects 100 people to contact

The data given to the right includes data from 33 candies and 6 of them are red The company that makes the candy claims that 31 of its candies are red Use the sample data to construct a 95 confidence interval estimate of the percentage of red candies What do you conclude about the claim of 31 Construct a 95 confidence interval estimate of the population percentage of candies that are red p Type an integer or decimal rounded to one decimal place as needed Is the result consistent with the 31 rate that is reported by the candy maker O No because the confidence interval does not include 31 Yes because the confidence interval includes 31 CIT Red 0 753 0 952 0 722 0 874 0 771 0 703 Weights 9 of a Sample Bag of Candy Green 0 706 0 722 0 829 Blue 0 738 0 839 0 764 0 872 0 883 0 751 0 991 Brown 0 735 0 798 0 753 0 792 0 703 0 993 0 776 Yellow 0 835 0 867 0 908 0 846 0 779 0 869 0 711 0 926 0 913 0 895

4 Consider polynomial functions in the form f x ax x Use at least three examples to investigate the relationship between a n and the constant finite differences Explain the steps you took in your investigation and any conclusions you found 6 marks

You want to take out a 223 000 mortgage home loan The interest rate on the loan is 5 9 and the loan is for 30 years Your monthly payments are 1 322 69 How much will still be owed after making payments for 5 years Round your answer to the nearest dollar

Match each function name with its equation y x 1 x y x I vy Y 1 Xx y x y x y x y x a Absolute Value b Square Root c Cubic d Reciprocal e Linear f Cube root g Reciprocal Squared h Quadratic

Use the given information to find the number of d

Sketch a triangle on X Y coordinate plane to answer the below questions No work no credit y cos sin 1 a Find the quadrant in which this angle lies b Find the exact value of y Do not round

Here are summary statistics for randomly selected weights of newborn girls n 36 x 3222 2 g s 686 7 g Use a confidence level of 99 to complete parts a through d below a Identify the critical value a 2 used for finding the margin of error 2 0 Round to two decimal places as needed b Find the margin of error E 9 Round to one decimal place as needed c Find the confidence interval estimate of 9 Round to one decimal place as needed d Write a brief statement that interprets the confidence interval Choose the correct answer below O A One has 99 confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls OB Approximately 99 of sample mean weights of newborn girls will fall between the lower bound and the upper bound OC One has 99 confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls OD There is a 99 chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound

A data set includes 109 body temperatures of healthy adult humans having a mean of 98 2 F and a standard deviation of 0 62 F Construct a 99 confidence interval estimate of the mean boc temperature of all healthy humans What does the sample suggest about the use of 98 6 F as the mean body temperature Click here to view at distribution table Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table What is the confidence interval estimate of the population mean F H F Round to three decimal places as needed What does this suggest about the use of 98 6 F as the mean body temperature OA This suggests that the mean body temperature is higher than 98 6 F OB This suggests that the mean body temperature is lower than 98 6 F OC This suggests that the mean body temperature could very possibly be 98 6 F

Below is the graph of y x Translate it to make it the graph of y x 1 3 O 2 X

2 Solve y 16 where y is a real number Simplify your answer as much as possible If there is more than one solution separate them with commas If there is no solution click on No solution y 0 3 08 0 0 No solution

Name the quadrant or axis where each point lies 0 1 Choose one 4 6 Choose one 3 4 Choose one 7 3 Choose one

Solve for the remaining angles a Answer How to enter your answer oper

3 Consider the graph YA 18 16 14 12 10 Gasoline Remaining gallons 8 6 4 2 0 40 80 120 160 200 240 280 320 360 Distance Traveled miles Determine the rate of change shown in the graph X b Restate the rate of change as a unit rate Explain its meaning L

MODE FERI EXP PIDUR e What in the prok FACE 2 a What is the probability of obtaining tails and a four Enter the probability as a fraction b What is the probability of obtaining tails or a four Enter the probability as a fraction

Quest Assume you are rolling two di the second is green Use a sy determine the number of way than 11 on the two dice EMETEREN VOILT

Using the non working spouse method what should be the life insurance need if the youngest child is 9 years old Life insurance need

2 The graph shows a linear relationship between x and y x represents the number of comic books Priya buys at the store all at the same price and y represents the amount of money in dollars Priya has after buying the comic books a Find and Interpret the slope of the line b Write an equation for this line y dollars 20 15 10 5 1 2 3 x comics f 5

Kirkland Company combines its operating expenses for budget purposes in a selling and administrative expense budget months of 2020 the following data are available Sales 20 500 units quarter 1 22 200 units quarter 2 Variable costs per dollar of sales sales commissions 596 delivery expense 296 and advertising 3 Fixed costs per quarter sales salaries 10 100 office salaries 6 490 depreciation 4 420 insurance 1 950 utilities 860 and repairs expense 660 4 Unit selling price 23 1 2 3 Prepare a selling and administrative expense budget by quarters for the first 6 months of 2020 List variable expenses before fixed expense Budgeted Sales In Unita Total Selling and Administrative Expenses Office Salaries Variable Expenses Sales Commissions Delivery Expense Advertising TOER VANADE KIRKLAND COMPANY Selling and Administrative Expense Budget 1 Quarter 2 0000 BOTO UUUU

2 Let f x y y 4xy Find the volumes of the solids under the surface z f x y and above the following regions a D r y 0 x 2 2 x y 2 x 2

5 marks Let P3 be the vector space of all real polynomials of degree at most 3 Let S p P3 p x ax b a b R S p P3 p x bx bx b R and S3 p P3 p x x b b R Determine whether S S or S3 are vector subspaces of P3 giving full reasons for your answers For those who are vector subspaces determine their dimension

2 Let A 0 1 3 a 4 marks Find Cartesian equations for Col A and Null A b 2 marks Are the columns of A linearly independent Give full reasons for your ans based on the definition of linear independence 0 4 1 1 5

point etermine the following entries 34 0 1 2 13 22 A 4 3 3 2 5 4 3 5 2 5 2 3

Pivot once as indicated in the given simplex tableau Read the solution from the result 2 3 Z 01 0 0 0 1 X 6 3 5 1 1 2 1 1 2 22 2 J C 3 4 3 4 1 3 5 1 0 0 0 Simplify your answers Read the solution from the result 2 2 20000 0 1 0 1 0 53 3 N H x x x z X3 35 21 42 0

In Exercises 31 36 use the four step procedure page 299 to find f x for the given one to one function f x T 31 f x 2 sin x 1 x 2 1 cos x 1 0 x 2 1 1 x 2 32 f x 33 f x 3 cos 2x 1 1 6 35 f x tan x 1 2 1 34 f x 4 sin 3x 2 ANG 2 2 3 2 2 VI 1 2 6 x 1 36 f x cot x 1 3 1 x 1 k 2 2 3

Suppose price of gasoline in Phoenix area f mean of 300 cents and standard deviation area are randomly chosen Which of the fo price of gasoline from these 16 stations Approximately normally distributed wit Exactly normally distributed with a mea

07 M N N O signments a SC MATH1507 M N O P

Given the table X of Red 0 1 0 0 0 ERLENIN S

Major league baseball salaries averaged 3 26 million wit 1 2 million in a recent year Suppose a sample of 100 ma taken Find the approximate probability that the mean sal exceeded 3 5 million approximately 0 5 0 9772 0 0228 O approximately 1 approximately 0 Question 5 1 point

Write the given vector in terms of i and j 1 2 U i 2j X

21 22 Point masses m are located on the x axis as shown Find the moment M of the system about the origin and the center of mass X 21 m 6 10 m 9 30

Exam 3 Ch 6 7 AccountBeginning BalanceEndir Accounts Receivable 2 580 3 8

15 TB MC Qu 07 105 Static What does the account What does the accounts receivable turnover ratio measure Multiple Choice How quickly accounts receivable turn into cash How quickly the accounts receivable balance Increase Average balance of accounts receivables

If 10 000 is invested at 9 per year compounded monthly the future value S at any time t in months is given by S 10 000 1 0075 a What is the amount after 1 year Round your answer to two decimal places b How long before the investment doubles Round your answer to one decimal place months

completed at the end of each week are shown below and Allison are making bracelets to sell at a street fair The number of bracelets they have Casey Time Worked weeks 5 6 8 9 Total Bracelets Made 150 180 240 270 Time Worked weeks 3 7 10 Allison 12 Total Bracelets Made 160 ir work 360 510 610

Write the equation in logarithmic form 811 2 9

Write the equation in logarithmic form 34 81

Use properties of logarithms or a definition to simplify each expression Check each result with a change of base formula a log3 9 b log2 1 log

Solve for x by writing the equation in exponential form log 5x 4 2 X

he sales decay for a product is given by S 20 000e 0 3x where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign a What will be the sales 6 months after the end of the campaign Round your answer to two decimal places b How many months after the end of the campaign will sales drop below 1 000 if no new campaign is initiated Round up to the nearest whole number months

A company sells sets of kitchen knives A Basic Set consists of 2 utility knives and 1 chef s knife A Regular Set consists of 2 utility knives 1 chef s knife and 1 slicer A Deluxe Set consists of 3 utility knives 1 chef s knife and 1 slicer The profit is 20 on a Basic Set 60 on a Regular Set and 80 on a Deluxe Set The factory has on hand 800 utility knives 400 chef s knives and 200 slicers a If all sets will be sold how many of each type should be made up in order to maximize profit What is the maximum profit b A consultant for the company notes that more profit is made on a Regular Set than on a Basic Set yet the result from part a recommends making up more Basic Sets than Regular Sets She is puzzled how this can be the best solution How would you respond a Find the objective function to be used to maximize profit Let x be the number of Basic Sets let x be the number of Regular Sets and let x3 be the number of Deluxe Sets What is the objective function Z x x x3 Do not include the symbol in your answers To maximize profit the company should make up Simplify your answers Basic Sets Regular Sets and Deluxe Sets