Basic Math Questions and Answers

1 point Consider the graph shown below G True A B C F Note that if you click on the graph it will display a larger version in a new window Determine whether each of the following statements about the graph is true or false 1 A C E B F E C G is a trail from A to G E D 2 A D C G F B E A is a cycle False 3 D C F G C is a closed walk 4 A C A C A C A C A C E is a walk from A to E

1 point Which of the following graphs are trees d f h A i a d e e B f b f

Officials begin to release water from a full man made lake at a rate that would empty the lake in 6 weeks but a river that can fill the lake in 15 weeks is replenishing the lake at the same time How many weeks does it take to empty the lake Express your answer as a fraction reduced to lowest terms if needed

Question When multiple users have to reference a query result set a CTE needs to be created by the end use 4 1 point True False

1 point Complete the truth table and determine whether or not pa pvq pv q P TT TF FT FF pv q p q Are the two statements equivalent OA Yes the columns are identical OB No the columns are not identical OC No the rows are not identical OD Yes the rows are identical 9 PA q

SELECT COUNTRY CASE CITY WHEN TORONTO THEN ON WHEN OTTAWA THEN ON WHEN WATERLOO THEN ON WHEN MONTREAL THEN QC WHEN VANCOUVER THEN BC WHEN KAMLOOPS THEN BC ELSE Unknown END AS PROVINCES FROM SAMPLE TABLE Re write the query above to contain the least number of case when statements Notice there is the same provinces being referenced multiple times in the query

Question 7 1 point As soon as you create a view SQL processes the query and stores the results in memory ready for use whenever a user requires access to the data True False

Question 1 6 points Select the name email phone number hire date salary for all employees from the employee table whose salary is greater than double the range of salary max salary min salary for their job titles

Maximize z s t 8X1 4X2 X1 4X1 X1 2x2 3x2 382 6x3 3x3 2x3 3x4 3x4 X4 X4 9x5 180 X5 270 3x5 180 resource 1 resource 2 resource 3 Xj 0 j 1 2 3 4 5 It is known that the basic variables in the optimal solution are X3 X1 X5 a Using this information please identify the optimal solution decision variables and t optimal z value using the formulas for computing the optimal tableau from the initial LP i Section 6 2 of the textbook entitled Some Important Formulas 10 points b Find the dual of this LP 10 points c Determine shadow prices for the three resources using Dual Theorem 10 points d Let c4 be the coefficient of x4 in the objective function given above Using the Du Theorem please determine for what values of c4 will the current basis remain optimal points

Use the simplex algorithm to solve the following LP Maximize z 2x1 x2 s t 3X1 X 6 X 2 4

Find the derivative of the following function y 810x 3 dx

The total cost to produce x units of perfume is C x 2x 4 2x 2 Find the marginal average cost function OA 4 8 OB 8x 12 OC 4x 12 O D 8 12 X 8

Find the derivative of the function f x 3x 4 2x7 5 O A f x 12x9 56x6 45x O B f x 60x9 56x6 45x O c f x 60x9 56x6 45x O D f x 12x 56x6 45x

GRAPHS FUNCTIONS AND SYSTEMS Writing and evaluating a function that models a real world A construction crew is lengthening a road The road started with a length of 56 miles and the crew is adding 3 miles to the road each day Let L represent the total length of the road in miles and let D represent the number of days the crew has worked Write an equation relating I to D The this equation to find the total length of the road after the crew has worked 31 days Equation Total length of the road after 31 days miles 8 X O O 0 5 5

Find the derivative f x 4 2x 5 f x

Find the indicated derivative 2 7 6t 3 d dt y 2 7 6t 3

Find the derivative of the function y 6 4x 8 6 dy dx

Find the derivative of the function y x 3 x 2 dy dy 11

Find the derivative X 2 4x 2 4x 3 O A O B O C O D 16x 24x 46 4x 2 4x 3 16x 64x 46 4x 2 4x 3 16x 64x 46 4x 2 4x 3 16x 24x 46 4x 2 4x 3

Six elements F G H I J P have the frequencies 19 27 3 16 11 6 respectively a Construct the Huffman Tree and find the prefix codes of all the six elements b For the prefix codes obtained decode the following sequences 110001101100111 101100110001 6

Use the quotient rule to find the derivative x 5 g x 2 x 6x O A g x OB g x O c g x 6x 10x 30 x x 6 2 O D g x x 6x 5x 30x 2 x x 6 4x 18x 10x 30 2 x x 6 2x 5x 30x 2 x x 6

An umn contains 9 white and 7 red balls Six ballis are randomly drawn from the urn in succession with replacement That is after each draw the selected ball is returned to the urn What is the probability that all 6 balls drawn from the urn are red Round your answer to three decimal places 0 qk10fdd30 AD

Find the derivative f x 3x 9 2x7 6 of the function O A f x 60x9 126x6 54x O B f x 12x 126x6 54x O c f x 60x9 126x6 54x O D f x 12x 126x6 54x

COUNTING AND PROBABILITY Probabilities of draws with replacement A fair die is rolled 5 times What is the probability of having no 3 and no 4 among the rolls Round your answer to three decimal places X 5

E O COUNTING AND PROBABILITY Probabilities of draws with replacement 0 An urn contains 8 red and 6 white balls Five balls are randomly drawn from the urn in succession with replacement That is after each draw the selecte is returned to the urn What is the probability that all 5 balls drawn from the urn are white Round your answer to three decimal places X 0 5 5

In a certain piston engine the distance x in centimeters from the center of the drive shaft to the head of a piston is given by the function below where 0 30 degrees and when 0 45 degrees x 0 sin0 square root 49 0 5sin 20

What is the name of the argument to hist that specifies the number of bins breaks O breaks

Which of the following is the proper way to specify that a histogram created using hist should be a relative frequency histogram O freq FALSE O prob FALSE O density FALSE density TRUE

Which of the following graphs have hamiltonian circuits R X DA S G H B V AN I P J

6 months 1 year 2 years 3 years 4 years 5 years 10 years 20 years 30 years Term 4 69 5 49 5 66 5 71 5 89 6 05 6 12 6 64 6 76 Rate

base 2 expansion Do not use spaces in your answer 373 2 1095 Answer s submitted

decimal base 16 expansion Do not use spaces in your answer 2636 16 7278 16 Answer s submitted

You have 20 000 and want to buy car that costs 18 500 You still need to add on 5 sales tax Can you afford the car Use the paperclip button below to attach files

addition Do not use spaces in your answers 1112 112 2 110102 112 10011112 10112 Answer s submitted 2

notation to decimal notation a 11112 b 1011102 c 100110102 Answer s submitted

X1 X2 D Which expression corresponds to the shaded region A X1UX2 B X1 X2 C X1 X2 D X1 UX2 U

17 KL 18 A tanker truck holds 34 000 liters of oil Use the facts to find how much this is in kiloliters kl 19 X 20 21 22 23 Conversion facts for volume 1 liter L 1000 milliliters mL 1 kiloliter KL 1000 liters L 24

27 What is the phase shift and direction of the cosine curve y 2cos 0 5 x 100

What principle of counting would you use in each of the following situations You have to count the number of three letter initials BA B AQ Counting ways to choose a dessert from the menu with three kinds of cakes and four kinds of pies You have to count the number of positive integers less than 100 that are divisible by 3 or 5 Counting the total number of bit strings of length 5 You have to count the number of different 4 digit pin codes A Inclusion exclusion principle B Addition principle C Multiplications principle

Evaluate 6 8 1 0 9 11

How many positive integers between 1 and 200 are a divisible by 7 and 11 b divisible by 7 or 11 Enter your answer as a number

How many strings of 5 upper case letters of the English alphabet start or end with A Letters could be repete

How many subsets with at most 3 elements the set of cardinality 7 has Give your answer in numerical for

Which of the following is a coefficient of the term containing x7 in the binomial expansion of 2x 1 Select ALL that applies 0 128 42 240 2 H 128 128 11 128 128

3 1 point Which of the following is equivalent to the expression 162 64 gylo C gy d 40 5y 6 x 3x 23 0

5 1 point Which of the following is equivalent to the expression b 35 Nx

8 1 point Mohamed purchased a car for 30000 It depreciates by 25 of its current value every year How many years will take the car to be worth 12656 25 d 5 years a 1 year b 2 years 3 years

6 1 point If the rate of inflation is 6 5 per year how much would you expect to pay for a loaf of bread now priced at 1 58 after 9 years a 1 67 c 2 78 d 15 14 b 2 17

3 1 point A bucket contains 425 mL of water The capacity of water in the bucket increases 4 8 each hour Which equation models the situation a C t 425 1 048 b C t 425 4 8 C C 425 0 952 d C t 425 0 048

10 1 point What are the domain and range for the function x 4 2 a Domain x R Rangey Ry 0 d Domain x R Range R Domain x Rx 0 Range ty e R b Domain x R Range ye Ry 0