Math - Others Questions

Which two of the expressions below are equivalem x 2 4 32 A

12 168 The pin follows the path described by the equation r 0 2 0 15 cos 0 m At the instant 0 30 8 0 7 rad s and 0 5 rad s Determine the magnitudes of the pin s velocity and acceleration at this instant Neglect the size of the pin 0 7 rad s r 0 2 0 15 cos

radius r 12 139 A car is traveling along the circular curve of 300 ft At the instant shown its angular rate of rotation is 0 0 4 rad s which is increasing at the rate of 0 0 2 rad s Determine the magnitudes of the car s velocity and acceleration at this instant 8 0 4 rad s 0 2 rad s2 r 300 ft

Company for the years 2010 through 2015 can be approximidated by f x 30x 720x F x 30x 720X 3368 where x 10 corresponds to the 2010 year year did a local maximum profit aques what Occy b what was the maximum profit 3 A local extremum occurs at where the F Because the derivative exists for eative is Only critical numbese s occur Zero find the derivative of F X F x 267 a critical number of the A local maximum profit occured in the year year b The maximum profit was million Simpliky your answer Round to the nearest as needed orie

If you were to use the method of undetermined coefficients to solve the differential equations below wh would be an appropriate form for the initial guess for the particular solution yp t Where needed use the letters A B C in alphabetical order for your constants exponents in decreasing order For example A to B t C t D Don t forget to solve for the homogeneous equation first A y 2y y 9t 3t et The inital guess for yp t B y 2y y 8e cos 3t The inital guess for y t

is Find the consumer s surplus if the demand function for a particular beverage given by D 9 2000 and if the supply and demared are in equilibrium 2q 5J The consumers surplus is Round to the nearest cent as needed

A large manufacturer plans to move an operation from Country A to Country B in 2 years resulting in layoffs in Country A Management anticipates a severance pay for the laid off workers of 320 000 per month for 6 months Find the shortage in 2 years if they deposit 60 000 per month in an account Assume a rate of 6 that is compounded monthly Click here to view page 1 of the interest table for rate 0 5 Click here to view page 2 of the interest table for rate 0 5 The shortage is Round to the nearest cent as needed

Does the frequency distribution appear to have a normal distribution Explain Choose the correct answer below Temperature F 45 49 50 54 55 59 60 64 65 69 70 74 75 79 SIIM Frequency 1 3 10 15 10 4 1 A Yes because the frequencies start low proceed to one or two high frequencies then decrease to a low frequency and the distribution is approx symmetric OB Yes because the frequencies start low proceed to one or two high frequencies then increase to a maximum and the distribution is not symmet OC No because the frequencies start low proceed to one or two high frequencies then decrease to a low frequency and the distribution is approxi symmetric OD No because the frequencies start low proceed to one or two high frequencies then decrease to a low frequency and the distribution is not sym

8 10 pts Determine whether the graph below is bipartite If it is then give a bipartition V V a b h ic d 9

You would like to have 75 000 available in 15 years There are two options Account A has a rate of 8 5 compounded once a year Account B has a rate of 8 compounded daily How much would you have to deposit in each account to reach your goal Click the icon to view some finance formulas You must invest in Account A Round up to the nearest dollar

Parents wish to have 120 000 available for a child s education If the child is now 5 years old how much money must be set aside at 6 compounded semiannually to meet their financial goal when the child is 18 Click the icon to view some finance formulas The amount that should be set aside is 66460 Round up to the nearest dollar

Which of the following statements is are TRUE i On May 31 George Dewey the American naval commander steamed into Manila Bay and destroyed the Spanish fleet ii Spain lost 1581 men and the United States lost 1 iii By August the Spanish troops surrendered to Americans rather than the Filipinos who had been fighting for freedom since 1896 Statements I and II O Statements II and III Statements III only Statements I and III

Several communities wish to establish a commuter rail system between cities labeled on the map to the right a Use Kruskal s algorithm to determine the minimum cost spanning tree that would link the cities using the shortest distance b If it costs 6900 per mile of railroad track how much does the commuter rail system determined in part a cost a Choose the correct minimum cost spanning tree below A 24 B 24 B 29 31 44 59 E 61 F 24 73 F b The commuter rail system costs 80 OB O D 24 B B 31 E 31 E 61 44 59 24 B 29 31 73 63 E HA 59 61 55 73 F 63 24

Next question At the time of her grandson s birth a grandmother deposits 7000 in an account that pays 5 5 compounded monthly What will be the value of the account at the child s twenty first birthday assuming that no other deposits or withdrawals are made during this period Click the icon to view some finance formulas The value of the account will be Round to the nearest dollar as needed

You would like to have 73 000 available in 15 years There are two options Account A has a rate of 8 5 compounded once a year Account B has a rate of 8 compounded daily How much would you have to deposit in each account to reach your goal Click the icon to view some finance formulas You must invest in Account A Round up to the nearest dollar

The angle subtebded bby an arc of length units at the centre of circle having radius r units then D None of these A Wh 1160 B 1260 C 1360

10 9 70 00 00 stem of equations is given a Identify the type of solution for the system unique solution no solution or infinitely many solutions Explain your reasoning The system has a unique solution because the coefficient array is an identity matrix The system has no solution because the coefficient array is not an identity matrix and has a row of zeros with a nonzero entry in the augment The system has no solution because the coefficient array is not an identity matrix and doesn t have a row of zeros with a nonzero entry in the augment The system has infinitely many solutions because the coefficient array is not an identity matrix and has a row of zeros with a nonzero entry in the augment The system has infinitely many solutions because the coefficient array is not an identity matrix and doesn t have a row of zeros with a nonzero entry in the augment x y z b For each system that has a solution rind it If the system has infinitely many solutions find the general solution in terms of x y and z If there is no solution enter NO SOLUTIO C

f 7x 8y x 2y 19 3x 2y 29 Find both the maximum and minimum values of the function if they exist and the point at which each occurs If an answer does not exist enter D The maximum value of the objective function is which occurs at x y The minimum value of the objective function is C which occurs at x y

O V No olution 3 Help set of the inequality 4x 5y 120 4 2 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 2 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 Fill G F

Find the inverse of the matrix 9 1 14 2 1

Approximate the real solutions to the quadratic equation to two decimal places Enter your answers as a comma separated list 1 02x2 2 05x 1 095 0 X 11

4x 1 12 3 3 x 9 9 Graph the solution Use the tools to enter your answer 19 3 113

Use the matrices below 39 D 18 0 8 G 7 11 F Perform the indicated operation FD

Solve the system using matrices If there are infinitely many solutions find the general solution in terms of x y and z If there is no solution enter NO SOLUTION x y 3x 6y z 7 z 12 2x y 5z 17 x y z

trix below D 43 13 Perform the indicated operation DT I

Use the matrix below Find a 21 A 63 10 00 35 2 5 44 in matrix A

If g x x 5 x find the following a g 1 2 b g c g 0 1

Use a graphing utility to graph the function Find any turning points Enter your answers as a comma separated list If an answer does not exist enter DNE y x 12x2 27x X

a f g x b f g x c f g x d fof x the following

xx 3 If f x a f 3 b f 0 c f 1 if x 1 4x 3 if x 1 d f 3 find the following

Find the average rate of change of f x x 35x 24 over the interval 10 50

Write the equation of the line described Slope and y intercept 9

1 In the summer time your friend wants to have a snow cone stand at a local grocery store parking lot You want to make sure he actually makes money The grocery store charges 300 per month All products are calculated to be 25 cents per customer Your plans are to sell each cone for 1 25 a Write a mathematical expression representing the cost of operation for a month b Write a mathematical expression representing sales c Create an equation that will represent overall profit of the operation for a month d Simplify the equation into slope intercept form and standard form What is the slope and explain its meaning in the context of selling snow cones What is the intercept and what is its meaning e Describe the method of graphing the slope intercept form and also the standard form of the equation f What is the domain and range of the equation Is the relation a function why g How many snow cones do you need to sell to break even in the first month h How much is the profit if you sell 425 550 or 700 snow cones in the first month of business B i U Font Family AAA FE

The database summarizes financial information for 32 companies and their perceived risk of default Convert these data into an Excel table Use table based calculations to find the average debt and average equity for companies with a risk of default and also for those without a risk of default Does there appear to be a difference between companies with and without a risk of default Click the icon to view the financial information for the 32 companies Convert these data into an Excel table Use table based calculations to find the average debt for companies with a risk of default The average debt for companies with a risk of default is S Round to the nearest whole number as needed 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2 Manufacturing 3 Manufacturing 4 Manufacturing 5 Service 6 Manufacturing 7 Service 8 Manufacturing 9 Service 10 Service 11 Manufacturing 12 Manufacturing 13 Service 14 Manufacturing 15 Manufacturing 16 Manufacturing 17 Manufacturing 18 Manufacturing 19 Manufacturing 20 Service 21 Manufacturing 22 Manufacturing 23 Service 24 Manufacturing 25 Manufacturing 26 Service 27 Manufacturing 714 4019529 2216629 No 732 171407 1782738 No 792 8084984 11918008 No 623 3170474 755648 Yes 702 13199975 4095573 Yes 764 4116956 6847610 No 690 7121992 5938446 No 802 7969203 11550605 No 610 14389772 3686534 Yes 590 8003572 19978215 No 824 583316 31212038 No 762 2252811 4519299 No 601 1776398 305758 Yes 655 39129388 14997345 Yes 792 4634857 4612049 No 721 3927187 14233030 No 750 12692273 11439891 No 762 5159636 18835016 No 598 2515454 538035 Yes 742 7075389 4262423 No 821 3668641 14139966 No 657 3815570 5221776 Yes 798 3102714 3263735 No 695 9877320 5642938 No 819 10076016 9212560 No 671 23680348 6665172 Yo

An assumed assumption can only exist when executives have minimal views but sufficient data to verify the assumption True False

Assumed assumptions are often included in strengths weaknesses opportunities and threats SWOT analysis True False

Strategy is about analysis while tactics are about execution True False

Strategy is short term while tactics are generally long term True False

Strategy is usually focused at a management level whereas tactics are more operational and detailed True False

The problem below involves three variables Solve it with the simplex method Excel or some other technology A contractor builds three types of houses the Aries the Belfair and the Wexford Each house requires one lot and the following table gives the number of labor hours and the amount of capital needed for each type of house as well as the profit on the sale of each house There are 13 lots 47 800 labor hours and 3 398 400 available for the contractor use Labor hours Capital Profit Aries 3 000 205 000 20 000 Belfair 3 700 279 600 25 000 Wexford 5 000 350 000 30 000 a Building how many of each type of house will maximize his profit Aries houses Belfair houses Wexford houses b What is the maximum possible profit

A rectangular paperboard measuring 32 in long and 20 in wide has a semicircle cut out of it as shown below Find the area of the paperboard that remains Do not round any intermediate steps Round your final answer to the nearest hundredth and be sure to include the correct unit If necessary refer to the list of geometry formulas 20 in 1 32 in I 3 08 in in S in

46 45 44 43 y us 7 8 7 6 5 4 2 2 5 3 4 15 6 Write an equation for the function graphed above

coss sin Evaluate cos sin giving your answer as an exact value no decimals

A triangle is placed in a semicircle with a radius of 9 ft as shown below Find the area of the shaded region Do not round any intermediate steps Round your final answer to the nearest hundredth and be sure to include the correct unit If necessary refer to th list of geometry formulas 19 ft 7 ft X ft ft3

1 Find a simplified expression for tan cos

A rectangular piece of paper with length 27 cm and width 14 cm has two semicircles cut out of it as shown below Find the area of the paper that remains Do not round any intermediate steps Round your final answer to the nearest hundredth and be sure to include the correct unit If necessary refer to the list of geometry formulas 27 cm 14 cm 19 08 cm X cm cm

Evaluate the expression cos 1 sin 11TT 6

5 5 10 5 50 desmos Determine an equation in factored form for this parabola

To ty 8 4 2 10 4 2 0 2 4 6 8 10 y x 6x 2 4 6 8 10 Where are the zeros and minimum value located for this quadratic relation zeros 0 6 minimum 9 zeros 0 6 minimum 11 zeros 0 0 minimum 9 zeroes 0 0 there is only a maximum value

Find a simplified expression for sin cos 1 10