Math - Others Questions

1 Determine whether the following statement is True or False The specific heats of incompressible substances are only dependent on temperature a False b True c Cannot be determined

11 WRITE Math Describe a real life multiplication situation for which an estimate makes sense

10 Most Americans throw away about 1 365 pounds of trash each year Is it reasonable to estimate that Americans throw away over 10 000 pounds of trash in 5 years Explain

Name 1 What is the value of 410 x 10 3 346 x 52 Chapter 1 Math Review 2 Write 6 402 835 in expanded form 4 Divide 4 175 by 38

5 Solve 375 99 9 x 3 8 Remember 6 Solve 57 4 x 9 4 10

3 Briefly discuss the rules for Risk of Loss under the UCC nonshipment contracts shipment contracts damage to or destruction of goods seller s breach special situations etc

850 mb Maps The 850 mb map provides a view of the atmosphere above the boundary layer where diurnal temperatures are strongly influenced by warming and cooling of Earth s surface The 850 mb chart includes raw data at each station height contours and isotherms Figure 9 15 Meteorologists use the 850 mb layer to find areas influenced by the movement of warm and cold air masses Warm air advection exists when winds blow across isotherms from warmer to colder areas cold air advection occurs where winds blow across isotherms from colder to warmer areas During the winter months information on an 850 mb map can help forecasters determine the likely form of precipitation Forecasters often look at the 0 C isotherm at 850 mb as the division between snow and rain 1380 1380 1410 1440 1410 1470 1500 10 L 1516 10 H 1528 1410 1380 1350 H 1534 1530 1320 H 1538 10 What range of heights do you see in this example of the 850 mb surface 11 Circle and label areas of warm and cold air advection on the 850 mb map 12 Highlight the 0 C isotherm 1320 1350 1380 1410 1440 1260 1320 1290 1230 1350 1530 Figure 9 15 An 850 mb map 1560 1470 H 1612 10 10 1590 1500 1590 1530 0 1560

4 List and briefly discuss Express Warranties and the Types of Implied Warranties in a sale or lease of goods transaction under the UCC

1 Briefly discuss the scope of Article 2 of the Uniform Commercial Code what sales are covered and what is not covered Briefly discuss the formation of sales contracts under the UCC terms and requirements of an Offer requirements on acceptance and the Statute of Frauds

As a general rule which of the following will not satisfy the UCC requirement for a record e mails and faxes merchant s confirmation memorandum letters between the parties phone conversations that someone else overheard

A 7 10 n AUB n Anc n An BnC Determine the following cardinalities n A 20 n AUBUC n A n BnC gram shown below 6 12 5 B

The warranty of merchantability guarantees that the party in question is a merchant product is fit for the ordinary purpose for which it is sold product will remain fit for its normal use for the applicable statute of limitation period product can be resold by the buyer if the buyer does not want to keep it

A contract involving both services and goods is classified as a contract for the sale of goods if the services are to be performed upon the goods the services cannot be performed unless the goods are supplied no charge is made for the services the sale of goods is the dominant aspect of the transaction

Which of the following situations creates an exception to the UCC statute of frauds writing requirement contracts between two merchants continuing oral communications an unsigned agreement with the parties names on it specially manufactured goods

A disclaimer or exclusion of the warranty of merchantability will be invalid if the goods cost 500 or more the defects in the goods are obvious to all buyers it is made at the time of sale it is not conspicuously set forth in a writing

A sales agreement that does not satisfy the statute of frauds is a quasi contract criminal unenforceable

Congress has the power to collect taxes President has the power to make treaties Principle of checks and balances incorporated B The bulleted list above is in response to issues that arose under the Three Fifths Compromise Declaration of Independence Articles of Confederation

4 The doctor ordered Tagamet 480 mg po q8h The label on the bottle reads Tagamet 300 mg 5ml How many milliliters will you administer

3 Robitussin 2 ounce is ordered for a client s cough How many milliliters will you administer

9 A client is to receive Folic Acid 200 mcg IM BID You have Folic Acid 500 mcg ml How many milliliters will you administer mL

7 Lanoxin 0 125 mg po BID has been ordered You have Lanoxin tablets 250 mcg available How many tablets will you give

2 5 Phenobarbital 50 mg q6h has been ordered for your client You have phenobarbital 100 mg tablets available How many tablets will you give

Methyldopa 250 mg has been ordered for a client Methyldopa 0 5 Gm tablets are available How many tablets will you give

The Stock Market Alexander is a stockbroker He earns 11 commission each week Last week he sold 4 500 worth of stocks How much did he make last week in commission If he averages that same amount each week how much did he make in commission in 2011 Last week he made 495 in commission In 2011 he made in commission

On July 1 of Year 1 West Company purchased for cash 8 10 000 bonds of North Corporation to yield 10 The bonds pay 9 interest payable on a semiannual basis each July 1 and January 1 and mature in three years on July 1 The bonds are classified as AFS securities West Company s annual reporting period ends December 31 Assume the effective interest method of amortization of any discount or premium Note When answering the following questions round each amount to the nearest whole dollar Amortization Schedule Journal Entries and Financial Statement Presentation fo for Year 1 a Prepare a bond amortization schedule for Year 1 and Year 2 using the effective interest method Date Jul 1 Year 1 Jan 1 Year 2 s Stated Interest 05 Market Discount Bond Interest Amortization Amortized Cost 05 0 Journal Entries for Year 2 O

F Write the base three numeral for the base three blocks shown 5 What is the fewest number of base three blocks needed to represent 51

E7 Let B 0 1 consist of the bits 0 and 1 Show that B is a Boolean algebra i e that the bits 0 and 1 form a two element Boolean algebra As said before a logic circuit can be designed using elementary gates where the output from an AND gate or an OR gate or a NOT gate is used as an input to other such gates in tlie circuitry The different levels of voltage in these circuits starting from the input lines move only in the direction of the arrows as shown in all the figures given below For instance one combination of tlie three elementary gates is shown in Fig 9 Fig 9 A logic circuit of elementary gates Now let us try to see the connection between logic circuits and Boolean expressions We first consider the elementary gates For a given pair of inputs x and x2 the output in the case of each of these gates is an expression of the form x A x2 or x V x or x Next let us look at larger circuits Is it possible to find an expression associated with a logic circuit using the symbols A V and Yes it is We will illustrate the technique of finding a Boolean expression for a given logic circuit with tlie help of some examples But first note that the output of a gate in a circuit may serve as an input to some other gate in the circuit as in Fig 9 So to get an expression for a logic circuit the process always moves in the direction of the arrows in the circuitry With this in mind let us consider some circuits Example 7 Find the Boolean expression for the logic circuit given in Fig 9 above 1 Solution In Fig 9 there are four input terminals Let us call themi X1 X2 X3 and x4 So x and x2 are inputs to an OR gate wliicli gives X V x2 as an output expression see Pig 9 a Similarly the other two inputs x3 arid x4 are inputs to an AND gate They will give x3 A x4 as an output expression This is in turn an input for a NOT gate in the circuit So this yields x3 Ax4 as the output expression Now both the expressions x V x2 and x3 Ax4 are inputs to the extreme right AND gate in the circuit So they give x V x2 x3 x as the final output expression which represents the logic circuit X1 X X3 X1 V X X3 X4 X3 X4 Fig 9 a x V X X X Boolean A

C 4 5 Let us consider an example of how to obtain the CNF of a Boolean expression Example 5 Obtain the CNF of the Boolean expression X X1 X2 X3 x1 AX2 x X3 Solution We have x A X2 x V x2 x V x VO x V x V x3 x3 x V x2 V x3 A x V x2 V x3 Similarly you can check that x A x3 x1 V x2 V x3 A x V x2 V x3 Thus the required CNF of the expression X X X2 X3 given here is x V x2 V x3 A x V x2 V x3 A x1 V x2 V x3 A x1 V x2 V x3 Try the following exercise now E3 Obtain the CNF of the Boolean expression X X1 X2 X3 x x V x A x3 As we have said earlier in the context of simplifying circuits we need to reduce Boolean expressions to simpler ones Simple means that the expression has fewer connectives and all the literals involved are distinct We illustrate this technique now Solution a Here we can write xi A x2 A xi A x 2 Example 6 Reduce the following Boolean expressions to a simpler form a X X1 X2 x AX2 x1 x b X X1 X2 X3 x AX V x1 Ax2 AX3 V X1 X3 xi A x2 x1 Ax2 x1 X2 X2 X1 A X2 A x x A O 0 b We can write xi A x2 V x1 A x2 A x3 V x1 A X3 X1 x V x2 AX3 x1 AX3 X1 x V x x2 V x3 x1 AX3 x1 IA x2 V x3 A X1 AX3 De Morgan s Law Identity law Complementation law Distributive law Thus in its simplified form the expression given in a above is O i e a null expression X1 A X2 V X3 X1 AX3 x1 AX2 V x1 AX3 X1 AX3 AD X1 A x2 AX3 V X3 x1 AX3 x1 A X2 AX3 V x1 X3 Complementation la Identity law Distributive law x1 AX2 A XI A X3 V x1 A X3 A X1 A x3 Distributive law Idemp assoc law Distributive law Associative law Absorption law Associative law Complementation law Identity law Distributive law Distributive law Absorption law Thus the simplified form of the expression given in b is x Ax3

involving exactly k variables For instance the Boolean expression in 2 variables X x1 x2 x Ax V xi x V x A X2 is in DNF because it is a join of three minterms namely x Ax2 x1 Ax2 and x A x2 where each one of these involves exactly two variables Observe that each minterm in a DNF should involve all the k variables in the expression X x1 x2 xk k 2 For instance the Boolean expression X X1 X2 X3 x A x2 V x A X2 A X3 is not in DNF because x A x2 is not a minterm of all the three variables However since we can write x Ax x AX2 AI and so the expression X x1 x2 X3 with this change for x A x2 is in the disjunctive normal form Indeed using similar techniques any Boolean expression 0 can be written in disjunctive normal form Let us work out an example to illustrate this technique Example 4 Obtain a disjunctive normal form for the expression X X1 X2 X3 x1 AX V XI AX3 Solution We can write x x2 x x I Also x A x2 A X3 V x3 x x x3 V x AX2 x3 X1 X3 x A x A x3 V x3 x A X A x3 V x A X2 A x3 by Identity law by Complementation law by Distributive law X A X3 A I x1 A X3 A x2 V x k Why don t you try an exercise now Identity law Complementation law Distributive law x1 A X3 A x2 V x1 A X3 AX2 by Distributive law x1 A X2 A x3 V x1 A X2 A x3 by commutativity of A Hence the required disjunctive normal form of the given expression X X1 X2 X3 in three variables is given by x A X2 A x3 V x A x2 A x3 V x1 A X2 A X3 V x A X A X3 by Identity law by Complementation law E2 Obtain the disjunctive normal form of the Boolean expression X X1 X2 X3 x V x V x A Xa The conjunctive normal form is another important type of expression which is analogous to the concept of DNF Definition A Boolean expression in k variables is said to be in conjunctive normal form CNF in short if it is a meet of maxterms each of which involves all the k variables For instance the Boolean expression X X1 X2 X3 x V x2 V x3 x V x2 V x3 x V x2 V x3 is in CNF because it is the meet of maxterms x1 Vx2 Vx3 xVx2 Vx3 and x V x2 V x3 Note that all 3 variables are involved in each maxterm Boolean Al

Closing Entries Responsible Company The balances as of December 31 2024 after adjustments have been made for Responsible Company are listed below 1 Record the closing entries needed for Responsible Company Type your answer in journal form Omit explanations 2 Indicate the ending balance of Retained Earnings on December 31 2024 Show the calculation Cash 4 000 Accounts Receivable 5 000 Wages Expenes 8 000 Service Revenue 35 000 Accounts Payable 6 000 Common Stock 71 000 Dividends 1 000 Advertising Expense 21 000 Retained Earnings January 1 2024 50 000 Building 300 000 Depreciation Expense Building 9 000 Accumulated Depreciatio Building 1 Record the closing entries needed for Responsible Company Type answer in journal form Omit explanations 2 Indicate the ending balance of Retained Earnings on December 31 Show the calculation BIUS IEE X EE x Insert Formula

operations with rational numbers Also 7 NS 2a 7 NS 2c 7 EE 3 nur and mathematical problems involving the four 1 Solve One month Kaeden made 3 withdrawals for 20 and 1 withdrawal for 80 from his account How did the withdrawals change the amount in his account 2 Solve Hannah made four withdrawals of 20 from her checking account She also wrote a check for 215 By how much did the amount in her checking account change 3 Solve Ned took a test with 25 questions He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly How many points did Ned receive or lose overall gift card to rent a tiller for 4 days It costs 35 per day to rent b has a gift card for a local lawn and garden s She also buys a rake for 9 Find the change to the value on her gift card 5 Solve Evaluate the expression 6 5 12 6 Evaluate the expression 6 7 15 13

The graph of a degree 4 polynomial function is given below 653 10 f x 0 6 2 Find the function in the factored form Hint List the zeros from least to greatest x 5 X X 2 x

b 9 A 11 L 01 6 00 B 20 i Find n An BnC ii Find n AUB UC iii Find n An B UC

Maya decided to start a lawn mowing company in the summer to help pay for her college education At the beginning of summer she spent 575 for a new lawnmower and 125 for a new weed whacker Each lawn will cost 5 for gas and she decides to charge 40 per lawn How many lawns must she mow before she starts earning money Round your answer up to the nearest whole number where rounding is necessary o lawns

2s 8 You borrow 20 000 from a bank to be repaid in three equal annual installments at 9 interest compounded annually What is the portion of interest payment for the second annual payment a 1 800 b 1 251

On January 1 Hawaiian Specialty urchased equipment life is expected to be 4 400 The machine operated for 3 180 hours in the first year and the company expects the machine to operate for a total of 28 000 hours Record depreciation expense for each of the first two years using the straight line method If no entry is required for a particular transaction event select No Journal Entry Required in the first account field View transaction list Journal entry worksheet 2 Record the depreciation expense for the first year using the straight line method Note Enter debits before credits Date General Journal Debit Credit

Brick Oven Corporation made the following expenditures during the first month of operations Attorneys fees to organize the corporation Purchase of a patent Legal and other fees for transfer of the patent Advertising Total 7 700 27 000 1 850 67 000 103 550 Required Record the 103 550 in cash expenditures If no entry is required for a particular transaction event select No Journal l

A new patent is purchased for 610 000 from Techno Company The patent gives Micro exclusive right to sell specialized data storage units Note Enter debits before credits Transaction 1 General Journal Debit Credit

Internal costs of 510 000 were used to research and develop a new high resolution monitor The company expects production to begin next year and sales to customers to occur over the next five years Note Enter debits before credits Tnsaction 2 General Journal Debit Credit

Rochester Flour Mills purchased new equipment and made the following expenditures Purchase price 56 000 Sales tax 5 050 Shipment of equipment Insurance on the equipment for the first year Installation of equipment 810 510 1 620 Required Record the expenditures All expenditures were paid in cash If no entry is required for a particular transaction event sel Journal Entry Required in the first account field

Anderson s Fish House purchases a tract of land and an existing building for 900 000 The company plans to remove the old building and construct a new restaurant on the site In addition to the purchase price Anderson pays closing costs including title insurance of 2 000 The company also pays 12 000 in property taxes which includes 8 000 of back taxes unpaid taxes from previous years paid by Anderson on behalf of the seller and 4 000 due for the current fiscal year after the purchase date Shortly after closing the company pays a contractor 45 000 to tear down the old building and remove it from the site Anderson is able to sell salvaged materials from the old building for 3 000 and pays an additional 10 000 to level the land

Wed 10 11 Solve 94 230 30 450 94 230 30 450

1 The following is a list of an economy s National Income Account data for a particular year in billions of dollars Government Transfer Payments Income Receipts from Rest of the World Income Payments to Rest of the World Government Purchases Of Goods Services Personal Income Taxes Corporate Income Taxes Indirect Business Taxes Payroll Taxes Undistributed Corporate Profits Wages Salaries Personal Consumption Expenditures Depreciation Capital Consumption Allowance Net Private Domestic Investment 16 37 45 69 38 28 12 21 19 230 267 14 47 Rents Exports Corporate Profits Interest Income Dividends Imports Proprietors Income 16 24 88 19 23 17 25 Calculate GDP GNP NNP National Income Personal Income and Disposable Personal Income You should be able to compute GDP using both the expenditures approach and the income approach

Find an angle between 0 and 2 radians that is coterminal with an angle of 15 Give an exact answer Use symbolic notation and fractions where needed coterminal angle

of 13 An angle has its vertex centered at the origin of a circle It cuts an arc length of 5 units and subtends an area of 75 square units What is the radius of the circle What is the radian measure of the angle Express numbers in exact form Use symbolic notation and fractions where needed T 0 units radians

The triangles in the given figure are similar A B a C b Learning Crauder et al Preparation for Calculus 1e 2022 Macmillan C Suppose A 4 C a and c x Find C in terms of x Give an exact answer Use symbolic notation and fractions where needed

Treaty of Guadalupe Hi dalgo Uncle Tom s Cabin Harriet Beecher Stowe

Find the total surface area of the composite figure Ro 9 2 cm 6 cm 10 cm 8 cm 9 cm

Account Names 7 Cash 8 Accounts Receivable 9 Office Supplies 10 Prepaid Insurance 11 Equipment 12 Accumulated Depreciation Equipment 13 Accounts Payable 14 Salaries Payable 15 Greavy Capital 16 Greavy Withdrawals 17 Service Revenue 18 Depreciation Expense Equipment 19 Supplies Expense 20 Utilities Expense 21 Salaries Expense 22 Insurance Expense 23 Total GREAVY THEATER PRODUCTION COMPANY Worksheet December 31 2024 Unadjusted Trial Balance Debit Credit 4 300 5 900 1 900 4 550 30 000 30 500 C 5 500 27 500 110 150 7 600 3 600 21 950 77 000 110 150 Adjustments Debit Prepaid Insurance of 3 900 remained 1 Depreciation expense 4 000 Accrued salaries expense of 200 that hasn t been paid yet Credit Adjustment data at December 31 follow a As of December 31 Greavy had performed 500 of service revenue but has not yet billed customers b At the end of the month Greavy had 700 of office supplies remaining quirements Complete the worksheet Use letters a through e to label the five adjustments ournalize the adjusting entries G Adjusted Trial Balance Debit Credit

6 Assume te a b and f n t y M show Taylor s method of order n has a local truncation error of O h 7 Computational exercise Write a script to use Euler s method to compute the approximate solution