Basic Math Questions and Answers

Firms A B T E F I Markets for goods and services Markets for factors of production C D G H Households Answer Bank Money

A company that processes fruits and vegetables is able to produce 500 cases of canned pears in one half hour with 7 workers Material cost is 7 200 and overhead is 1 900 What is the labor productivity Your Answer

2 10 Consider the initial value problem dy dx x y y 0 0 Does the Existence and Uniqueness Theorem guarantee the existence of a unique solution for this problem Answer yes or no and justify your answer DO NOT SOLVE THE DIFFERENTIAL EQUATION

q8p Find THREE different decimal numbers that fit this entire collection of clues The numeral has NO trailing Os Only four positions are actually used The tens digit and the digit in the 10 1 position differ by 7 The total of all digits to the LEFT of the decimal point is 2 The total of ALL four digits is either 9 10 11 or 12 Type each of your different answers into a different box below Blank 1 Blank 2 Blank 3 A N

q8a Find THREE different decimal numbers that fit this entire collection of clues The numeral has NO trailing Os The leftmost and rightmost digits are equal but no other digits are repeated There are NO digits in the 10 4 position or smaller Rounded to the nearest ten the number rounds to 560 The sum of the digits to the right of the decimal point is 7 The sum of the tenths digit and the digit in the 10 position is 4 or smaller Type each of your different answers into a different box below Blank 1 Blank 2 Blank 3 N 2

1 15 Consider the differential equation x y In x y ex a Is this an ordinary differential equation or a partial differential equation b Give the order of the differential equation c Is the differential equation linear or nonlinear Justify your answer

Compute the multifactor productivity measure for an seven hour day in which the usable output was 4 410 units produced by 5 workers who used 600 pounds of materials Workers have an hourly wage of 23 and material cost is 1 42 per pound Overhead is 1 7 times labor cost Your Answer 1 457

True or false 1 4 of 0 is still 0 True False

3 4 pts Find FIVE different numbers that simultaneously satisfy all the clues below Show supporting work and clearly indicate your answers Hint You may need to review childhood math terms that were revisited in MATH 210 There are no trailing Os and no digits appear in the 10 4 position or smaller Its expanded form with exponents contains 6 10 The number is smaller than 250 The digits to the right of the decimal point are all the same factor of 3 The ones digit is a multiple of 5

2 2 pts Create a Number Sentence Pattern leading to 4 2 Turn the page sideways if needed

Many agencies use sit sed questions as par their interview process This assignment can help you prepa for potential interview questions and learn how to articulate your actions reasons and considerations recruiters expect an in depth response Answers should be constructed in sentence format with proper grammar punctuation and spelling Each answer should be detailed and specific Review the grading rubric that is posted in DC Connect The assignment is to be submitted in MS Word doc format Answer all 3 scenarios below Scenario 1 You are a special constable and you are assigned to work at a parade A person approaches you and yells in a language you don t understand Type your answer is the space below Question Action How would you respond What actions would you take Reasons Why did you choose those actions Considerations What are your considerations Scenario 2 You are a police constable How would you conduct community outreach in a neighbourhood with a history of strained relations with the police Question Type your answer is the space below Action How would you respond What actions would you take Reasons Why did you choose those actions Considerations What are your considerations Scenario 3 Think of this article 6 Terms That Non Indigenous People Need to Stop Appropriating How would you respond to a person who you hear using one of the terms referred to in the article Question Type your answer is the space below Action How would you respond What actions would you take Reasons Why did you choose those actions Considerations What are your considerations

5 4 points The posts of a hockey goal are 2 0 m apart A player is standing at a point 4 5 m from one post and 6 0 m from the other post Within what angle must the player shoot the puck to score a goal Express your answer to the nearest degree Diagram Formula Substitution Solve

2 4 points In triangle AABC ZB 58 a 24 cm and c 17 cm Determine the length of b to the nearest centimetre Diagram Formula Substitution Solve

In Problems 4 5 obtain the general solution to the equat Problem 4 dy 3x

needs to make T shirts for its 75 members and has set aside some money in their budget to pay for them The members of the choir decided to order from a printing company that charges 3 per shirt plus a 50 fee for each color to be printed on the shirts 1 Write an equation that represents the relationship between the number of T shirts ordered the number of colors on the shirts and the total cost of the order If you use a variable specify what it represents 120 2 In this situation which quantities do you think can vary Which might be fixed Lesson 2 Homework 1 Large cheese pizzas cost 5 each and large one topping pizzas cost 6 each Write an equation that represents the total cost T of c large cheese pizzas and d large one topping pizzas A student on the track team runs 45 minutes each day as a part of her training She begins her workout by running at a constant rate of 8 miles per hour for a minutes then slows to a constant rate of 7 5 miles per hour for b minutes Write an equation describing relationship between the distance she runs in miles D and her running speed in miles per hour

000 miles in 2022 and 85 000 miles in 2023 for total expected miles of 290 000 Read the requirements Complete all input fields Enter a 0 for any zero values Year Start 2020 2021 2022 2023 Units of production method Annual Depreciation Accumulated Expense Depreciation Requirements Book Value Using the units of production method of depreciation with miles as the production unit calculate the following amounts for the car for each of the four years of its expected life do not round here use three decimal places for the depreciation cost per mile a Depreciation expense b Accumulated depreciation balance X

Keshad gets paid 2 081 per month plus 3 of his sales His brother earns 3 457 per month For what amount of total sales will Keshad s monthly pay be higher than his brother s monthly pay Your answer should be accurate to 2 decimal places When Keshad s total sales are more than monthly pay will be higher than his brother s o 45866 68 dollars then his

Determine the range of the following graph K 12 11 10 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 1 1 2 3 4 5 6 7 8 9 10 11 12 X

the turtle to analyze the relationship between distance and time Distance centimeters 80 60 40 20 8 12 16 Time seconds 20 24 28 0 10 20 30 40 50 60 70 80 90 100 Walk The turtle s distance from the starting point is seconds increasing for Between 10 and 12 seconds the turte s distance is Between 12 and 14 seconds the turtle is

alculate the monthly payment for the indicated loan You borrow 8000 at an APR of 5 and repay the loan in 36 payments 0 05 Use decimal notation Round your answer to the nearest cent 12 Remember not to round r leave it as monthly payment dollars

Question 3 of 10 Find an exponential model that satisfies the given conditions Write the amount A first as a function of the half life h then as a function of the given unit of time t The initial value is 14 The half life is 9 minutes Express numbers in exact form Use symbolic notation and fractions where needed in terms of half lives A in terms of minutes A

population is decreasing by 9 per year Using No for initial population find an exponential function N that models the opulation as a function of the time t in years Provide an answer in the form a b Express numbers in exact form Use symbolic notation and fractions where needed N

Solve the given initial value problem dy x 2y y 0 6 dx y x Give the largest interval I over which the solution is defined Enter your answer using interval nota I

Question 2 of 13 Macmillan Learn Find a formula for the exponential function f x having the given properties f 0 2 and f is doubled when x is increased by 1 Provide an answer in the form a b Express numbers in exact form Use symbolic notation and fractions where needed f x Attempt 1 Incorrect d

Assignment Score Question 7 of 13 69 2 62x 3 Resources Write the given expression in the form a b Express numbers in exact form Use symbolic notation and fractions where needed

9 Sherese Wallace is the owner of Buckley s Sandwich Shop The base rate for the state s workers compensation insurance is 2 70 per 100 paid in wages The monthly payroll is 11 450 What is the monthly premium for workers compensation a 309 15 b 365 21 Akil O 374 19 d 395 60 that he travel to thre

Find a formula for the exponential function f x having the given properties f 0 9 and fis multiplied by e when x is increased by 1 Provide an answer in the form a b Express numbers in exact form Use symbolic notation and fractions where needed f x x 1

Determine whether the relationship described is a proportionality relationship If sodas cost 0 51 cach is the amount of money we spend on sodas proportional to the number we buy no yes If the relationship is a proportionality relationship identify the constant of proportionality Enter DNE if the relationship described is not proportional constant of proportionality

Find the formula for the linear function f x that satisfies the given conditions f 4 8 and 4 8 Express numbers in exact form Use symbolic notation and fractions where needed Let y f x and give the equation in terms of y and x formules

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

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

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

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

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

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

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