Math - Others Questions

Let A B and C be sets On each line put a checkmark if and only if the statement is true DA A n Bcncc 0 OB An B x C A x B n B x C OC A B n B C n C A 0 OD A B C A C B C OE Ax BUC A x B U A x C OF A C n C B 0

Let A and B be sets On each line put a checkmark if and only if the statement is true OA A B An Bc OB P A x B P A P B OC A x B A x Be OD B B A An B OE P A P A DE AB nA A

Consider the following sets contained in the universe U 0 1 2 3 4 5 6 7 8 A 0 4 7 8 B 0 2 7 C 0 2 3 8 Compute the following a AUBUC b An BnC c AUB nC d AU BOC e A BOC f A B

Let A 1 4 7 and B 2 7 Compute the Cartesian product A x B Enter your answer as a list of ordered pairs separated by commas Answer A x B 2

4 attempts remaining Use the same instructions as the previous problem Click this link to view the Venn diagram a AUB C Shaded regions b A C en B Shaded regions c ANB UCC Shaded regions Submit answer A 1 4 2 5 7 C 6 3 B E

a AUB Shaded regions b AUC Shaded regions c AUB n AUC Shaded regions d BnC Shaded regions e AU BNC Shaded regions Compare your answers which sets are equal to each other Submit answer C A bpb us w2 wpmucdn com sites uml edu dist 3 1 4 2 LO 5 7 C 6 3 B

Consider the following sets contained in the universe U 1 2 3 4 5 6 7 8 A 1 3 4 6 B 3 4 8 Compute the following sets a AUB b An B c AUB d An Be e A B 9

At least one of the answers above is NOT correct 1 point For each of the following pairs of divisors d and dividends n find the quotient g and remainder such that n dq r Rec that 0 r d a n 42 d 9 9 T Ell 6 a n 84 d 12 97 T 0 a n 27 d 5 4

2 Accounts Rec 3 Accumulated 4 Allowance for 5 Bad Debt Expe 6 7 Cash Building 8 Common Stoc 9 Computer Sup 10 Depreciation 11 Equipment 12 Insurance Exp 13 Misc Expense 14 Notes Payable 15 Payroll Tax Ex 16 Prepaid Insura 17 Rent Expense 22 200 22 6 000 32 000 44 228 800 1 000 19 300 1 400 175 18 Repairs Expen 19 Salaries Expen 20 Service Reven 21 Supplies 22 Supplies Expe 23 Training Exper 24 Travel Expens 25 Utilities Exper 26 Grand Total 27 Trial Balance Debit 28 29 30 31 4 400 7 000 7 000 20 800 145 255 1 800 7 897 2 900 179 300 1 000 6 000 50 000 Credit 27 300 200 94 800 179 300

8 Instead of regular air scuba divers on deep dives sometimes breathe hell mixture of oxygen and helium An engineer wants to test the process of filling and emptying a large storage tank for heliox The tank has a volume of 400 000 cm The rate at which the tank can be filled is 5 000 cm per hour faster than the rate it can be emptied Supposer is the rate at which this tank is filled in thousands of cm per hour Write an equation for t the total number of hours it takes to empty and fill the tank in terms of r

The graph of f is given State the numbers at which f is not differentiable Enter your answers as a comma separated list y X AJ 4 2 5 4 0 Enhanced Feedback X X

4 Sketch the graph of f and the inverse of f if f x x 3

2 When a hat company is setting its prices it considers customer demand Demand is the number of hats it will sell at a given price Suppose the demand d in hats sold is d x 350 6x where x is the price per hat in dollars Part A If revenue price x demand write a rule for the function r x which represents the company s expected revenue in hat sales as a function of price State the domain Part B If the price is 25 how much revenue will the company eam

3 Let f x x 2x 1 Find the inverse function of f by identifying an appropriate restriction of its domain

converting Celsius to Fahrenheit is F C 32 Part A write an equation for the inverse formula which could be used to convert Fahrenheit to Celsius Part B

As you inflate a spherical balloon its radius increases by 5 mm per second The function r t 5t gives the balloon s radius r in mm after t seconds The 4 3 volume V of a sphere is given by V r r where r is the sphere s radius Write a function that gives the balloon s volume after t seconds

2 5 If f x 3x 6 and g x x z 6 identify the rule and domain for

3 20 points I am the only toolkit function that has a single number for the range Which function am I Square Root Function Linear Function Cubic Function Absolute Value Function Logarithmic Function Exponential Function Sine Function O Constant Linear Function Rational Function Quadratic Function

Prob 1 True or false a 5 5 6 b 5 5 6 c 5 5 6 d 0 0 e For every set A 0 A Prob 2 Give an example if there is one of sets A B C such that AB BCH ACC If it is not possible write Not possible Although Venn diagra help visualize the answer you must not rely on these to prove that your exam works Prob 3 Write all the elements of the power set P A for A 0 Prob 4 Let A B be sets Prove that if zB and ACB then r A

Translate the following verbal statemnt into an algebraic equation and then solve Use for your variable The quotient of two less than a number and five is eight Equation T

3 A 3 ft long gate of uniform density is closed at 45 with respect to the interface between water and oil Th width of the gate into the paper is 5 ft The specific gravity of oil is 0 8 where specific gravity is define by the ratio of density with respect to the density of water at the same temperature The gravitation acceleration is 32 2 ft s Note that Patm 1 94 slug ft Ignore friction at the hing 2116 lb ft and PH O a Using the manometer reading estimate the absolute pressure at the top of the tank inside b Evaluate the locations of centroid and center of pressure for the gate c Calculate the minimum weight of the gate so that it is kept closed hinge 3 ft 45 oil water 2 ft 3 ft

Serena paid 15 96 for a pack of 8 pairs of sport socks What was the price of a pair of sport socks

By hand using at least 5 significant digits find the solution z to the following equation r sin x e 1 where z is in radians Use 2 iterations of the bisection method with a starting interval of 0 3 Report the tolerance in function the estimated relative error and the tolerance in solution for the solution estimate after each iteration 3 f x x sin x e 0 Check initial infoval 9 6 0 3 f a f 0 0 sin 0 e 1 6 f 3 3 sin 3 e 6 779393 f a f b o X 26 013 1 5 f x 1 5 sin 15 e 2 10413405 Xp 3 f a f x 1 2 104 0 x 1 5 1 5 3 f a 2 10418105 1 4 x 2 5 1 513 2 25 f x 5 2 25 sin 2 25 2 1 124071579 dol fue f x 1 12 48159 tol sol 2 ere s XV 3 1 5 2 el Xys 1 0 75 12 25 1 5 0 0 33 1 Find interval a b such that f a f b 0 2 Calculate initial guess midpoint error measure 3 Update interval to either axs or xs b by checking sign of f a f xs 0 a 0 b 4 Update solution midpoint error measure while error errorok 33

12 97 Determine the minimum height on the wall to which the firefighter can project water from the hose so that the water strikes the wall horizontally The speed of the water at the nozzle is vc 48 ft s 12 98 Determine the smallest angle 0 measured above the horizontal that the hose should be directed so that the

12 89 It is observed that the time for the ball to strike the ground at B is 2 5 s Determine the speed and angle 8 at which the ball was thrown 1 2 m 50 m Prob 12 89 B

12 119 The automobile speed is increased by is originally at rest at s 0 If its 0 0512 ft s where t is in seconds determine the magnitudes of its velocity and acceleration when t 18 s

uniformly at 8 m s determine the magnitude of it acceleration at this instant 12 115 Determine the maximum constant speed a rac car can have if the acceleration of the car cannot excee 7 5 m s while rounding a track having a radius of curvatur of 200 m

12 91 During a race the dirt bike was observed to leap up off the small hill at A at an angle of 60 with the horizontal If the point of landing is 20 ft away determine the approximate speed at which the bike was traveling just before it left the ground Neglect the size of the bike for the calculation 60 20 ft Prob 12 91

as shown in the figure Determine the magnitude of the displacement of the car and the distance traveled ALA 2 km B 3 km 12 80 It takes to D D

A certain land area is 540 000 square miles and it holds a population of 64 1 million people Calculate the population density O 84 people square mile O 842 people square mile 1187 people square mile 119 people square mile

How many cubic inches are in 19 cubic feet Keep in mind that 1 ft 12 in

Convert 10 degrees Celsius into Fahrenheit degrees Simply state the numerical answer in your response i e 11 26 etc

x iy 2 2i find x y

Plot the point 5 0 in the rectangular coordinate system Plot 5 0 10 4 Ay 10 8 16 4 2 2 14 64 8 N 6 8 THROWER INTROD PROST DILAKUNYE iampere ASESO INTRUSIOPO BAR ZAKON HUMOHUES CONTANT APATO TA MEN MATION EXPOZIBA HARMON AFORE ADAMUNDITIAN HER ANTE X 10 COLORA PATASI stanice FIGURA AUTH

For Problems 4 5 use the given information Ken rode his bike on Monday and Tuesday Each table shows the distance that he was from home at various times min 20 40 60 80 100 Monday Distance km 5 10 12 14 16 Tuesday Time min 20 40 60 80 100 Distance km 8 12 16 20 4 Can the relationship in Monday s table be described by a constant unit rate Explain 5 Can the relationship in Tuesday s table be described by a constant unit rate Explain I m in a Learning Mindset

What do we mean by density A Density is used to describe compactness or crowding B Density is used to describe how much liquid is in a container C Density is used to describe the area on a surface OD Density is used to describe how thick a liquid is What do we mean by concentration OA Concentration is used to describe how hot or cold a substance is OB Concentration is used to describe the amount of one substance that is mixed with another OC Concentration is used to describe how thick a liquid is O D Concentration is used to describe how fast a substance is changing in volume

How much farther did Secretariat run in the Belmont Stakes than in the Preakness Stakes How much farther did he run in the Belmont Stakes than in the Kentucky Derby Show your work Secretariat s Race Times Race Kentucky Derby Preakness Stakes Record Time minutes 1 594 1 53 Distance miles 1 25 1 1 06

Which has more people County A with an area of 32 mi2 and a population density of 16 people km Click the icon to view the USCS to Metric conversions Select the correct choice below and fill in the answer box es to complete your choice Round to the nearest whole number as needed OA County A has more with people while county B has people while county A has OB County B has more with OC County A and county B both have people people people or County B with an area of 16 km and a population density of 32 people mi

What do we mean by density What do we mean by concentration Describe common units of density concentration and blood alcohol content What do we mean by density A Density is used to describe compactness or crowding OB Density is used to describe how much liquid is in a container OC Density is used to describe the area on a surface D Density is used to describe how thick a liquid is C

Your utility company charges 11 cents per kilowatt hour of electricity Complete parts a and b below a What is the daily cost of keeping lit a 150 watt light bulb for 14 hours each day b How much will you save in a year if you replace the bulb with an LED bulb that provides the same amount of light using only 10 watts of power a The daily cost of keeping lit a 150 watt light bulb for 14 hours each day is Round to three decimal places as needed

28 Decide which of the two given prices is better and explain why Storage locker Arents for per month Storage locker B rents for yd Click here to view the USCS measurements Click here to view the USCS to Metric conversions Select the correct choice below and if necessary fill in the answer box within your choice OA OB CITE 1 57 1 per week Assume 1 month 4 weeks Storage locker B is the better deal because after converting to the units of B s rental price the cost of locker A is the units of B s rental price the cost of locker A is per week which is more expensive than B s rental cost of week Round to the nearest cent as needed per week which is cheaper than B s rental cost of Storage locker A is the better deal because after converting to the units of B s rental price the cost of locker A is Round to the nearest cent as needed OC Both storage rental prices are the same value because after converting to the units of B s rental price the cost of locker A is the same as the rental cost of locker B ft 1 57 ft 1 57 11 per per week

1 For a soil with D60 0 43 mm D30 0 22mm and D 0 0 06 mm calculate the uniformity coefficient and the coefficient of gradation 2 The following are the results of a sieve and hydrometer analysis Size mm 0 425 0 033 0 018 0 01 0 0062 0 0035 0 0018 0 0001 Percent Finer 100 90 80 70 60 50 40 35 a Draw the grain size distribution curve b Determine the percentages of gravel sand silt and clay according to the AASHTO system

Consider the following sets A 0 B 0 C 0 0 D 0 0 0 0 E 0 F 0 0 Group A B C D E and F into as few groups as possible so that all the members of each group have the same cardinalit Enter your answer as a comma separated list of groups For example if A B C are in the same group E F are in the same group different from the group of A and D is in its o group enter your answer as ABC D EF without the quotation marks The order doesn t matter

On each line put a checkmark if and only if 2 is an element of the set OA y y is the square of a real number OB 2 2 OC 2 D 2 2 2 OE 2 2 OF TER r is an integer greater than 1

The sets below are described in set builder notation Write each one using the roster list method eg 1 2 3 a n 4 5 6 7 b x R x 7x c c c 3 2 1 0 1 2 3 d te Z t is a divisor of 24

Consider the following sets 3y y 1 2 3 4 6 7 8 9 A B z EZ 15 z 90 C 5c c 3d d 1 2 3 4 5 D w w 3n 15 n a non zero integer 4 n 4 E x Z 1 x 30 and x is divisible by 3 but not by 5 F 15a 30 a Z and 1 a 3 Group A B C D E and F into as few groups as possible so that all the members of each group are equal Enter your answ as a comma separated list of groups For example if A B C are in the same group E F are in the same group different from the group of A and D is in its own group enter your answer as ABC D EF without the quotation marks The order doesn t matter

On each line put a checkmark if and only if the statement is true DA 0 0 OB 0 0 0 OC 0 0 0 OD 0 0 OE 0 0 OF 0 0 0 OG 0 0 0

Let S 7 8 16 Which of the following sets A satisfy the property that A 2 and A CS Select all that apply DA 7 9 16 OB 9 15 DC 7 17 OD 8 16 DE 2

Consider the following set A 7 0 8 1 5 e 24 a Determine the largest subset of A consistsing entirely of natural numbers b Determine the largest subset of A consistsing entirely of integers c Determine the largest subset of A consistsing entirely of rational numbers d Determine the largest subset of A consistsing entirely of real numbers

Let S kEZ k 3 is a multiple of 5 Which of the following are elements of S Select all that apply OA 2 OB 5 OC 13 OD 3