Math - Others Questions

Add these Binary numbers 10101010 101 O 10101111 O 11110101 O 01010101 O 101 4

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

Use the graphing tool at the right to create a scatter plot for the data in the table Use the shape of the scatter plot to determine if the data are best modeled by a linear function an exponential function a logarithmic function or a quadratic function X 4 3 2 1 0 ATTOTT y 4 Plot each point one at a time Using the graphing tool start by plotting 4 4 COLL 10 B B 10 B B B 10 10

A system proposed by the U S Navy for underwater submarine communication called ELF Extremely Low Frequency operates with a frequency of 76 Hz 1000 m 1 km 1km 0 62137 mi C AV E hv c 3 00 x 108 m s h 6 626 x 10 34 J s 1 Hz 1 s1 HINT Be sure to report final answers to correct significant figures units and in scientific notation c What is the energy of radiation in joules 5 0 x 10 32 5 03 x 10 32 8 72 x 10 36 8 7 x 10 36

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

11 1 point Which equation can be used to model the graph of the function shown a y sin 2x 3 b y 2 sin x 3 60 120 180 240 3000 360x c y sin 2x 3 d y 2 sin x 3

2 2 points Determine the length of FG to the nearest tenth of a centimetre a 36 1 cm b 33 4 cm F 30 c 35 0 cm G 65 12 cm E H d 32 6 cm

13 1 point The asymptote of the function f x b is a the y axis b the x axis c x b d y b

8 1 point What is the equation of the graph a y x 2 3 b y x 2 3 X A 20 12 c y x 2 3 d y x 2 3

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

16 4 points Determine the amplitude the period the phase shift and the vertical shift of the function y 3 sin x 50 2 with respect to y sin x Amplitude Period Phase Shift Vertical Shift

6 2 points Determine the monthly payment for a five year loan on a 19000 vehicle at 7 per year compounded monthly a 265 39 c 444 14 d 376 22 b 328 80

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

7 1 2 points The roots to the nearest hundredth of y x x 1 are 1 83 and 3 83 b 1 83 and 3 83 c d 1 83 and 3 83 1 83 and 3 83

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

CTIONL HApplication Directions For each of the questions in this section write your answers in the spaces provided Show all the steps 17 4 points Household smoke detectors contain 200 g of a radioactive element that has a half life of 432 years To the nearest g how much of this element will remain after 20 years Model Substitution Solve

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

3 2 points Which of the following is equivalent to the expression 2 4 a 9x y 16 b 144x y C 9x 81 8 X 8 144

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

14 1 point The timeline represents which investment scenario 1 year F 800 Today 2 years 800 3 years 800 4 years 800 800 00 800 1 09 872 00 800 1 09 950 48 800 1 09 1036 02 Total 3658 50 N a 800 invested annually for 4 years in a fund that pays 9 interest per year compounded annually b 800 invested annually for 1 year in a fund that pays 36 per year compounded quarterly c 800 invested annually for 4 years in a fund that pays 9 interest per year compounded monthly d 800 invested annually for 4 years in a fund that pays 18 per year compounded semi annually

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

Blood tests of 100 people showed that 46 had the A antigen and 28 had the B antigen Another 40 had neither antigen and so are of type O How many people are of type AB having both the A and B antigens Draw and label a Venn diagram that shows the number of people with blood types A B AB and O How many people are of type AB having both the A and B antigens 14 c Which of the figures below is a Venn diagram that organizes people by bloodtype A AB B and O Fill in the values for each of the four regions Select the correct choice below and if necessary fill in the answer box to complete your choice OA OB O C 1 O I A II B III IV IV 1 0 CHE I A 11 IV B III IV 0 IV A 1 II B III IV

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