Basic Math Questions and Answers

which one of the follwoing is a valid and correct method overloading A public int sum int a int b public int sum int a int b B public double sum int a int b public int sum int a int b C I public int sum int a int b int c public int sum int a int b D public static void sum int a public int sum int a double b

Divide the polynomial 49 x by 7 x Reduce your answer to lowest terms 0 7 x 07 x 0 14 x

a A 5 20 O Quadrant I O Quadrant II O Quadrant III O Quadrant IV b B 3 12 O Quadrant I O Quadrant II O Quadrant III O Quadrant IV c C 6 12 O Quadrant I O Quadrant II O Quadrant III O Quadrant IV

Solve the system of equations by using either the Substitution or the Elimination method X 8 y 0 0 8x 0 2y 0 9 0 6x 0 4y 0 4

Factor fully 9x 121 0 3x 11 3x 11 O 3x 11 3x 11 O 3 11x 3 11x

Express the following expression as a single natural logarithm Choose the correct answer 2 ln 2 3 ln 3 2 In 5 O 0 In 3 Oln 07 O In In 108 25 31 25

Determine expression is simplified P 9 m n the coefficients p and q and exponents m and n when the following III 3 4x3 5y5 Pxm qy

Simplify the algebraic expression Ex 6 x 5 2x 18

Derivatives Course Packet on basic rules of differentiation If f x f x 8 3x 13 Submit Answer I 1 Rointel compute f x WA an example of the

Determine the equation of the line tangent to the curve y 3 3 x 1 at the point 3 12 Submit Answer

Determine the equation of the line tangent to the curvey XV 3x 39 at the point 4 12 y

Let f x f x 4x 6 6 2x 7 7 3 Submit Answer Compute f x

Derivatives Course Packet on basic rules of differentiation an example of the p Let f x 2x 5 3x2 5 4 Compute f x f x Submit Answer

Math 110 Course Resources Derivatives Course Packet on basic rules of differentiation an example of the Let f x 7x 5 7x2 3 5 Compute f x f x

P atives Course Packet on basic rules of differentiation an exar Let f x x 7x2 6 5 Compute f x f x Submit Apgu

Let f x 3x 4 Compute f x f x

Swered Marked out of 1 00 O b negation of the statement There exists an integer x x 1 or x 6 xe x 1 and x 6 VxEZ x 6 or x 1 3x EZ x 6 or x 1 LAS SEPT IN NEWAR Time left 1 41 54 VxEZ x 1 and x 6 VxEZ x 6 or x 1 3x EZ x 6 or x 1 VXEZ xZ6 and x 1 O The negation of the statement There exists an integer D Quiz Lana J 8 15 Te 22 23 Finish at

A savings account advertises an annual percentage yield APY of 5 7 which means that the balance in the account increases at an annual growth rate of 5 7 yr a Find the balance in the account for t20 with an initial deposit of 1000 assuming the APY remains fixed and no additional deposits or withdrawals are made b What is the doubling time of the balance c After how many years does the balance reach 4500 a Use the exact value of k when finding the balance in the account The balance in the account is y t 0 Type an expression using t as the variable

In 1965 Gordon Moore observed that the number of transistors that could be placed on an integrated circuit was approximately doubling each year and he predicted that this trend would continue for another decade In 1975 Moore revised the doubling time to every two years and this prediction became known as Moore s Law Complete parts a and b below a In 1980 a company introduced a processor whose integrated circuit chips each contained 27 000 transistors Use Moore s revised doubling time to find a function y t that approximates the number of transistors on an integrated circuit chip t years after 1980 Use the exact value of k y t Type an expression using t as the variable

1 The pressure gauge in an air cylinder reads 2000 kPa The cylinder is constructed of a 15 mm rolled steel plate with an internal diameter of 800 mm The tangential stress MPa inside the tank is

2 1 ft rod with a diameter of 0 9 in is subjected to a tensile force of 1 000 lb and has an elongation of 0 01 in The modulus of elasticity ksi of the material is

5 A steel rod 6 meters in length elongates to 6 5 m under stress Calculate the percent elongation

A firm is considering purchasing a machine that costs 65 000 It will be used for six years and the salvage value me is expected to be zero The machine will save 45 000 per year in labor but it will incur 9 000 in operating a naintenance costs each year The machine will be depreciated according to five year MACRS The firm s tax rate 28 and its after tax MARR is 14 Should the machine be purchased Click the icon to view the MACRS depreciation schedules Click the icon to view the interest factors for discrete compounding when i 14 per year he present worth of the project is Round to the nearest dollar

Consider a corporation whose taxable income without state income tax is Click on the following icon in order to copy its contents into a spreadsheet Gross revenue All expenses 3 100 000 1 500 000 If the marginal federal tax rate is 25 and the marginal state rate is 5 compute the combined state and federal ta using the two methods

5 2 1 Bending Stress and the Plastic Moment A flexural member is fabricated from two flange plates 2 x 7 and a web plate x 17 The yield stress of the steel is 50 ksi a Compute the plastic section modulus Z and the plastic moment Mp with respect to the major principal axis b Compute the elastic section modulus S and the yield moment M with respect to the major principal axis What do you think about the answer

A consumer electronics company was formed to develop cell phones that run on or are recharged by fuel cells The company purchased a warehouse and converted it into a manufacturing plant for 9 000 000 It completed installation c assembly equipment worth 1 500 000 on December 31st The plant began operation on January 1st The company ha a gross income of 9 000 000 for the calendar year Manufacturing costs and all operating expenses excluding the capital expenditures were 2 380 000 The depreciation expenses for capital expenditures amounted to 449 000 The corporate tax rate is 21 a Compute the taxable income of this company The taxable income of this company is Round to the nearest dollar

A corporation has the following financial information for a typical operating year Click on the following icon in order to copy its contents into a spreadsheet Gross revenue Cost of goods sold Operating costs Federal taxes State taxes 7 800 000 3 650 000 780 000 667 870 189 660 a On the basis of this financial information determine both federal and state marginal tax rates The marginal state tax rate is Round to two decimal places

A Write an example of collecting data using 1 Simple Random Sampling 2 Systematic Random Sampling 3 Stratified RandomSampling 4 Cluster Sampling B Tell whether the following questions are biased or fair Rewrite biased questions as fair questions 1 Do you think bike helmets should be mandatory for all bike riders 2 Do you prefer the natural beauty of hardwood floors in your home 3 Do you exercise regularly 4 Do you eat at least the recommended number of servings of fruits and vegetables to ensure a healthy and long life 5 Do you prefer the look and feel of thick lush carpeting in your living room 6 Do you take a daily multiple vitamin to supplement your diet 7 Do you read the newspaper to be informed about world events 8 Do you feel that the TV news is a sensational portrayal of life s problems

Divide 0 925 3 7

sider the following ode template typename T T max const T x const T y return x y y x int main cout max 5 7 cout max 14 4 8 2 cout max apple orange return 0 What is the output O 7 8 2 orange O 7 14 4 apple O 7 14 4 orange 5 14 4 apple O 5 8 2 orange Frror

An industrial storage container is advertised to have a volume of 136 ft Another storage container is advertised to have a volume of 4 m What is the difference in volume in cubic feet between the two containers Round your answer to the nearest hundredth if necessary Answer Keypad Keyboard Shortcuts

5 5 2 The given beam has continuous lateral support If the live load is twice th dead load what is the maximum total service load in kips ft that can b supported A992 steel is used a Use LRFD b Use ASD W W40 X 149 30

To automate one of its production processes the Milwaukee Corporation bought three flexible manufacturing cells at a price of 450 000 each When they were delivered Milwaukee paid freight charges of 16 000 and handling fees of 18 000 Site preparation for these cells cost 35 000 Five foremen each earning 24 an hour worked five 40 hour weeks to set up and test the manufacturing cells Special wiring and other materials applicable to the new manufacturi cells cost 3 000 Determine the cost basis amount to be capitalized for these cells The cost basis for these cells is Round to the nearest dollar

If a dump truck for hauling coal has an estimated net cost of 87 000 and is expected to give service for 200 000 mill resulting in a salvage value of 13 000 what would be the depreciation per mile Compute the allowed depreciation amount for the same truck s usage amounting to 32 000 miles The depreciation per mile would be Round to the nearest cent

A person earns 16 000 one year and gets a 5 raise in salary What is the new salary The new salary is www

Change the percent to a decimal number 4 95 4 95

e the answer to the question Eighteen is 20 of what number Eighteen is 20 of Simplify your answer Type an integer or a decimal

Change the number to a percent 1 1 7 2 Type an integer or a decimal

The graph shows the percent of employees who take time off during one year because of colds A company has 8490 employees Use the graph to find the number of them who miss work because of colds for 1 to 2 days each year www How many employees miss work 1 to 2 days per year because of colds Simplify your answer Round to the nearest whole number Days Off 1 to 2 2 3 to 4 6 5 to 6 35 7 4 Zero 535 Don t kno

Determine the volume and the surface area of the three dimensional figure Use the key on your calculator T The volume is Simplify your answer Type an integer or a decimal rounded to the nearest hundredth as needed The surface area is Simplify your answer Type an integer or a decimal rounded to the nearest hundredth as needed 10 cm

Find the volume of the solid 3 cm

Determine a the volume and b the surface area of the three dimensional figure When appropriate use the key on your calculator a The volume is Simplify your answer Type an integer or a decimal b The surface area is Simplify your answer Type an integer or a decimal GETEN 1 cm 8 cm 4 cm

Determine a the volume and b the surface area of the three dimensional figure When appropriate use the key on your calculator a The volume is b The surface area is 5 yd 5 yd 5 yd

a Use the Pythagorean theorem to determine the length of the unknown side of the triangle b determine the perimeter of the triangle and c determine the area of the triangle The figure is not drawn to scale a The length of the unknown side is Type a whole number b The perimeter of the triangle is Type a whole number c The area of the triangle is Tyne a whole number 4 28 yd 21 yd

Nancy has just purchased a new house that is in need of new flooring Use the measurements given on the floor plans to the right to answer the following question The cost of carpeting is 10 99 per square foot This price includes the cost of installation Determine the cost for Nancy to have this carpeting installed in all three bedrooms The cost for installing carpet in all three bedrooms is 29 Bath 6 x12 29 20 Bedroom 10 14 First floor Kitchen 13 x14 ZU Bedroom 13 20 Bath 6 x14 Bedroom 10 x14 Second floor 40 Stairs www Stairs Living Dining 22 20

Jigwill bha pic P 1 00 by 8e2 limx 0 3e 5 83 3 85 4 5 a O b O CO

Jigwill lia pic P 1 00 ja p The center of the circle x y 2x 2y 1 0 is None a O 1 1 bO 1 1 CO

Jigwill lia pic P 1 00 jo j ll pi limx 0 tan x 3xcos x 2 0 1 3 a O b O CO 3 do

If x 2x 3 g x x 5 then fog 3 None 3 a O 4 b O 5 CO 76 d O

Jigwill la plc P 1 00 jo pjall byl has pi The concentration of Oxygen in blood at time t is given by C t sin 57t cos 5 t 9 then T5 C 2 a O 10 b O 5 CO