Basic Math Questions and Answers

Assuming that we are drawing five cards from a standard 52 card deck how many ways can we obtain a straight flush starting with a two 2 3 4 5 and 6 all of the same suit There are ways to obtain a straight flush starting with a two

Find the number of ways six cards of the same suit can be drawn from a standard 52 card deck of cards a How many ways can the suit be chosen b How many ways can the six cards from the suit be chosen c How many ways can the hand be chosen Which problem solving strategy would best suit this problem Choose the correct answer below A Guessing is OK OB The Always Principle CC Be Systematic D Look for Patterns CO a How many ways can the suit be chosen It can be chosen in ways

A dart is thrown and hits somewhere on the diagram shown to the right Find the probability that the dart hits a yellow or red area The probability is Type an integer or decimal rounded to three decimal places as needed 8 inches 34 inches 24 inches 14 inches Red Yellow 4 inches Green 7 inches Blue 12 inches 17 inches

A game has two four sided dice having the numbers 7 8 1 and 2 on their faces Outcomes in the sample space are pairs such as 7 8 and 2 2 a How many elements are in the sample space b Express the event the total showing is even as a set c What is the probability that the total showing is even d What is the probability that the total showing is greater than 3 Identify the problem solving method that should be used Choose the correct answer below A The Draw Pictures Principle B The Be Systematic Principle C The Analogies Principle OD The Choose Good Names for Unknown Strategies Principle a How many elements are in the sample space

A cookie is selected at random from a basket containing 24 sugar cookies 21 caramel cookies 3 peanut butter cookies and 32 mint cookies Find the probability that a sugar or a mint cooki selected The probability of selecting a sugar or a mint cookie is Simplify your answer

A t shirt seller currently sells one type for 20 per shirt The price p and the demand for shirts are related by D p 1000 24p If the current price is increased will revenue increase or decrease Select the correct answer below O Revenue will increase because demand is inelastic O Revenue will decrease because demand is inelastic O Revenue will increase because demand is elastic O Revenue will decrease because demand is elastic

A fish pond at a carnival contains 68 angelfish 132 cory cats 38 goldfish and 102 tetras If Marcelo picks a fish at random from the pond what is the probability that it is a tetras The probability is Simplify your answer

We are flipping three coins Outcomes in the sample space are represented by strings of Hs and Ts such as TTH and HHT a How many elements are in this sample space b Express the event there are more heads than tails as a set c What is the probability that there are more heads than tails d What is the probability that there are an equal number of heads and tails a There are elements in this sample space

Find the number of ways a run of three cards in order of the same suit can be drawn from a standard 52 card deck of carc a How many ways can the suit be chosen b How many ways can the three cards from the suit be chosen c How many ways can the hand be chosen a How many ways can the suit be chosen It can be chosen in ways CLE

3 Air is compressed steadily by an adiabatic compressor operating at constant speed The energy balance per unit mass when changes in kinetic and potential energy are negligible is best expressed as a U U Wout b U Win U gout c h Winout h d h Win h e Win h h

Use PMT U 16 nt to determine the regular payment amount rounded to the nearest dollar The price of a home is 177 000 The bank requires a 20 down payment and three points at the ti 1 1 of closing The cost of the home is financed with a 30 year fixed rate mortgage at 7 5 Complete parts a through e below a Find the required down payment b Find the amount of the mortgage c How much must be paid for the three points Round to the nearest dollar as needed closing d Find the monthly payment excluding escrowed taxes and insurance Round to the nearest dollar as needed e Find the total cost of interest over 30 years S Round to the nearest dollar as needed

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

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

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

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

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

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

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

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

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

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

graph with its equation Zv 47 21 2 a b d TO 1 33 7 Free KE w CO 20 3424 Em 4 45 34345 12343 13 2 3433 J 4 H P 12 7 1 2 J 4442 NO 17 72343 2241

Question 12 Given the function f z 2x 4 evaluate and simplify the expressions below See special instructions on how to enter your answers f a f a h f a h f a h Instructions Simplify answers as much as possible Expressions such as 4 x 2 and z 5 should be expanded Also collect like terms so 3z z should be written as 4z

Destion 3 The plot below represents the function f z 343 ka 5 40 F Br P Evaluate f 2 f 2 Solve f z 2 PH my 4 O

Question 4 select all of the following graphs which are one to one functions up 2 75 S

Question 9 Question Help Message ins It is important to know the appropriate dose of ibuprofen for a child so that you are ready in the case of high fever The dosing guidelines state that children should be given 8mg kg Determine the dose of ibuprofen needed for a 2 year old weighing 28 pounds Round your final answer to the nearest whole number and make sure to state your units to earn full credit Recall 1 kg 2 2 lb Select an answer E years kg