Basic Math Questions and Answers

Decimal 15 equals O 10 O 17 O 15 O 37 in octal

The binary number 1110 0101 equals O F6 O D5 O 6C in hexadecimal

The binary number 1111 equals O 11 O 14 O 15 O 16 in decimal

Hexadecimal C3 equals O 0011 1001 O 0011 1100 O 1100 0011 O 1001 0011 in binary

What gate is represented by the logic equation X A O AND gate NOT gate inverter OOR gate

Decimal 10 equals OA O 1010 O 1000 O 1001 N www in binary

The hexadecimal number system is sometimes called the O Base 16 O Base 8 O Base 10 O Base 2 A M system

Add these Binary numbers 1011 100 O 1100 O 0111 O 1111 O 10011

Decimal 14 equals O 1110 B SOC in hexadecimal

If construction costs are 155 000 per kilometer find the cost of building the new road in the figure shown to the right The cost of building the new road is S Round to the nearest dollar as needed new road 12 000 m

w Quiz A protected wilderness area in the shape of a rectangle is 3 kilometers long and 3 4 kilometers wide The forest is to be surrounded by a Hik 12 000 per mile to construct What will it cost to install the trail Note that 1 mile mi 1 6 kilometers km It will cost to install the trail Type an integer or a decimal

AABC and AADE are similar Find the length of side CA O 2

Quiz Find the perimeter of the triangle Express the perimeter using the same unit of measure that appears on the given sidos 10 yd 4 5 yd

5 Convert the given Celsius temperature to its equivalent temperature on the Fahrenheit scale Use C F 32 or 9 F C 32 where F is the degrees in Fahrenheit and C is the degrees in Celsius 24 C 24 C F Round to the nearest tenth as needed

an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head Then use a calculator to perform the computation How reasonable is your estimate when compared to the actual answer 67 85 3 9 An estimate of the quotient is Type a whole number The actual quotient is Round to three decimal places as needed How reasonable is your estimate when compared to the actual answer O A Reasonable The estimate seems a little higher compared to the actual answer B Reasonable The estimate seems a little lower compared to the actual answer OC Not reasonable The estimate seems little l

If the arithmetic mean of a set of positive is an integers element of this set the set is called a medium set What is the arithmetic mean of a middle set with 10 elements

First create a scatter plot for the data in the table Then use the shape of the scatter plot given to determine if the data are best modeled by a linear function an exponential function a logarithmic function or a quadratic function logarithmic function B B quadratic function L exponential function D linear function Time Remaining 09 57 20 X 0 05 0 4 1 2 y 4 1 3 2 1 3 5 0 2 Moxt 4 0 15 5 0 1

3 1 6 1 9 1 Use your calculator to evaluate the following expressions Question 1 10 points 2 78 0 0821 x 1175 2 268 25872 3 00 x 10 3 3 00 x 10 4 X none of them

10 1 point A terminal point P x y forms a 135 angle Which of these points might be P a 4 4 b 5 5 d 2 2 c 8 8

18 4 points Zeinab is creating a flower garden in her backyard She builds the garden in the shape of a triangle using the fence and the shed wall as a corner for the garden The garden has a side length of 8 1 ft along the fence a side length of 9 9 ft along the shed and a side length of 10 7 ft in her yard Determine the measure of the angle created by the corner joining the fence and the shed rounded to the nearest degree Diagram Formula Substitution Solve

19 4 points What is the lump sum amount needed to generate a retirement income of 36000 per year for 25 years assuming interest at 9 per year compounded annually Formula Substitution

Section 3 Thinking Inquiry Directions For each of the questions in this section write your answers in the spaces provided 15 4 points Consider this parabola Write an equation in i factored form ii vertex form iii standard form 2 0 YA 8 4 40 0 6 3 0 4 8 8 0 5 6 25 X

4 2 points When simplified and written with positive exponents the expression 6x c 24 x3 a 24 x b 864x d 24 x m x 4x HIN

5 2 points Solve 3 30 27 a 30 d 1

9 1 point Determine the perimeter of this triangle a less than 46 units b more than 46 units 14 63 65 8 16 c exactly 46 units d not possible to determine

5 To which number set s does the following number belong Multiple answers may be correct Mark all correct answers whole numbers Oreal numbers irrational numbers Orational numbers counting or natural numbers integers No number set describes

Assuming annual compounding find how long it would take for the general level of prices to double at the following annual inflation rates a 4 b 5 c 11 d Check your answers using the Rule of 70 or the Rule of 72 whichever applies

A movie producer believes there is a relationship between the box office receipts total production cost total promotion cost and total book sales prior movie release To verify this believes the following data was collected and computed Fill the last two columns first Movies 1 2 34 56 7 8 9 10 Box Office Receipts 85 1 106 3 50 2 130 6 54 8 30 3 74 8 95 0 135 5 89 3 Total Production Cost 8 5 12 9 5 2 10 7 3 1 3 5 9 2 9 7 15 0 11 1 Total Promotion Cost 5 1 5 8 2 1 8 4 2 9 1 2 3 7 7 6 7 7 4 5 Total Book Sales Prior Movie Release 4 7 8 8 15 1 12 2 10 6 3 5 9 7 5 9 20 8 7 9 Estimated Box Difference Office Receipts H

Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given Supply p q 30q Demand p 4q 10q 8800 The equilibrium quantity is q Round to the nearest whole number as needed

Two equal length sides of a triangular roof meet at a 90 degree angle at the top The base of the roof is 6 1 meters How long is one side of the roof Answer to 2 decimal place accuracy

99 The value of a in the image below is to A 20 B 30 C 40 D 50 E 80 ao 1000 to

Heights of adult males are known to have a normal distribution A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here Identify two major flaws with these results Select all that apply Height cm 130 144 145 159 160 174 175 189 190 204 Relative Frequency 23 25 22 28 29 CHE A The sum of the relative frequencies is 127 but it should be 100 with a small possible round off error B The relative frequencies were recorded as percents instead of counts C The classes do not allow for the possibility that an adult male could be between 144 cm and 145 cm tall or between 159 cm and 160 cm tal D The classes do not allow for the possibility that an adult male could be less than 130 cm tall or greater than 204 cm tall E All of the relative frequencies are different If they are from a normal distribution they should all be exactly the same F All of the relative frequencies appear to be roughly the same If they are from a normal distribution they should start low reach a maximum decrease

a What is the company s total debt 908 000 b What is the amount of total liabilities and equity that appears on the firm s balance sheet 2 358 000 c What is the balance of current assets on the firm s balance sheet 500 000 d What is the balance of current liabilities on the firm s balance sheet e What is the amount of accounts payable and accruals on its balance sheet Hint Consider this as a single line item on the firm s balance sheet f What is the firm s net working capital If your answer is zero enter 0 Negative value if any should be indicated by a minus sign 0 g What is the firm s net operating working capital h What is the monetary difference between your answers to part f and g What does this difference indicate

3 3 Classify each of the following trusses as stable unstable statically determinate or statically indeterminate If indeterminate state its degree a b

3 2 Classify each of the following trusses as statically determinate indeterminate or unstable If indeterminate state its degree a

3 11 Specify the type of compound truss and determine the force in each member State if the members are in tension or compression Assume the members are pin connected 4 kN E 45 45 45 3 m 6 kN D Prob 3 11 3 m 4 kN B 3 m

3 21 Determi GA of the truss State if the members are in compression 4 kN 4 kN 2 m 4 kN 2m G D 3m GD Prob 3 21 C

3 1 3 2 b d Prob 3 1 3 2 Classify each of the following trusses as statically determinate indeterminate or unstable If indeterminate state its degree a b Prob 3 2

The graph of the feasible region is shown f 8x 4y x y y x y x y 2x y 40 8x 5y 170 x 5y 100 Find the corners of the feasible region Order your answers from smallest to largest x then from smallest to largest y x y x x y Find the maximum and minimum of the given objective function if they exist If an answer does not exist enter DNE maximum f minimum f

In parts a and b below use each of 1 3 5 7 and 9 once and only once in the boxes to obtain the largest possible product Describe a possible strategy for obtaining the answer a Fill in the boxes below to complete your answer Use the Show Work learning aid to provide related calculations and additional reasoning to support your answer 7 5 3 1 9 TO 79

The graph below shows a currency exchange rate How many Indian rupees can you exchange for each pound The value of Indian rupees against British pounds Indian rupees INR 300 250 200 150 100 50 0 1 2 3

A certain college enrolled 29 000 students in the fall of 2015 When this data was collected it was reported that of that number 52 were female and 48 were male In addition 63 were a age of 25 How many students were there in each category if 30 of those over the age of 25 were male Draw a Venn diagram showing these relationships U Males students over 25 Females

Let U 3 4 5 6 7 8 9 A 3 4 5 6 B 3 4 7 8 and C 5 7 9 List all the members of the given set Enter your answers as a comma separated list AU Bn C

aw a Venn diagram showing birds bees and living creatures living creatures bees birds living creatures bees birds living creatures O bees birds living creatures birds bees

A poll was taken of 100 students at a commuter campus to find out how they got to campus The results were as follows 22 said they drove alone 26 rode in a carpool 26 rode public transportation 3 used both carpools and public transportation 3 used both a carpool and sometimes their own cars 3 used buses as well as their own cars 2 used all three methods How many used none of the above mentioned means of transportation 15 X students Need Help Read It Read It 0 5 Points DETAILS Watch It SMITHNM13 2 3 057 0 6 Submissions Used The Venn diagram in the figure below shows five sets A

Specify the set by description m i s p O distinct letters in the word prism O distinct consonants in the word Mississippi distinct letters in the word misspell distinct consonants in the word misspell O distinct letters in the word Mississippi

Specify the set by description 1 9 81 729 6561 O multiples of 9 O nonnegative powers of 9 counting numbers

pecify the sets by roster a Counting numbers containing only 4s Enter only the first four values of this set b Even counting numbers between 7 and 17

How many subsets does the set F 5 6 7 8 9 have subsets

The Venn diagram in the figure below shows five sets E 1 11 D b 11 O AnBn Cn DnE 6 15 An BnE nCUD OAUBUCUDE O BnEn D nAUC O An E n BUCUD 21 O AnBn Cn DnE O An BnE nCUD AUBUCUDNE 22 16 27 26 7 20 A 2 12 12 31 23 28 30 10 25 18 29 19 14 8 24 9 4 It was drawn by Allen J Schwenk of the U S Naval Academy As you can see there are 32 separate regions Describe the following regions a 1 13 C 32 B