Math - Others Questions

9 6 pt Carol Daryl and Michonne found a bag with 5 cups of M Ms remaining To share the M Ms equally how much in cups will each survivor get

A manufacturer produces 25 pound lifting weights The lowest actual weight is 24 pounds and the highest is 26 pounds Each weight is equally likely so the distribution of weights is uniform A sample of 100 weights is taken a What is the distribution for the weights of one 25 pound lifting weight What is the mean and standard deviation b What is the distribution for the mean weight of 100 25 pound lifting weights c Find the probability that the mean actual weight for the 100 weights is less than 24 9 d Draw the graph For the toolbar press ALT F10 PC or ALT FN F10 Mac

Senar beingPARET 14 To earn faceless status one must complete 10 of the different possible feats in some list of faceless feats Arya completed 13 feats in her journey to become faceless Sansa tells her sister that she did 3 more than she needed to a What is the actual percentage of additional feats accomplished by the now faceless Arya forori be 1egorymi terfW d monedda b Explain what Sansa did wrong when attempting to calculate the percentage of additional feats

b height 42 4 28 inches le c 1 28 12 2 1 12 feet 3 6 pt List all the sets of numbers that each of the following is an element of 5 a 4 19waris Two state brs S E erstrvos bonoloo to aqool gnieu stoteulil 2 feet 4inche

ao inamalo ne ei anivollol orld io ribes crit axedmun to zise sritis daq 0 7 Illustrate using loops of colored counters 3 2 and state your answer

13 Label each on a number line and then list them in increasing order 0 7 2 25 1 1 2 wollot or swens woled matysib rli n vl ty d

For full credit show all work and explain your answers 3 2 1 Illustrate 1 using the rectangular area model 4 916 II morld 2291 2redmun rbidw 992 of easbo ni novig e9lun ylilidieivib yllyt nislax3 02

2 10 pt You have a 4 inch high by 6 inch wide landscape photo that you want to enlarge and hang on the wall You have 3 feet 6 inches of horizontal space you want to cover What is the height in feet and inches of the picture after it s enlarged um OTE bn 888 to 10aivib nommoo 1891691g orft bril of mrithoglA nesbibus srl 2U

5 If two fifths of the students in a class are left handed what is the ratio of right handed students to left handed students

he problem 4 Alice got a 90 on her last exam If there were 40 questions on the exam how many d she get correct

Write the percent as a fraction in the lowest terms 3 40 12

Date 8 11 23 Find the rational fraction in lowest terms represented by the periodic decimal 1 0 44444

Perform the indicated operation by hand 2 0 06 0 003

4 5p Use Stokes Theorem to evaluate s curl F ds Suppose F x y z ycos z e sin z xe and S is the upper hemisphere of radius 3 orient upward

a Use the simplex method to maximize x y 4z subject to the constraints x 2y 32 50 2xy z 10 a 0 y 0 How would your answer change if the 50 in the question were replaced b Write down a starting tableau for the problem of minimizing 8x 5y to the constraints 2 0 y 0 by 55 z subjec x y z 4 3x 215 x 0 Identify the first pivot element but do not go further c Determine the optimal strategy for R for the game whose payoff matrix is 25 Which player does the game favour and by how much z 0

5 Use SCILAB to perform the necessary operations in order to decode the following message 3 marks 90 75 63 0 21 45 12 0 47 100 given the encoding matrix is 3 B 91 5 Consider the letters of the alphabet translate into numbers following the scheme showed below Copy and paste Scilab output Write the decoded message A BCDEFGHIJKLMN 012 3 4 5 6 7 6 7 8 9 10 11 12 13 14 O PQR S TU V W X Y Z 15 16 17 18 19 20 23 24 25 26 27 28

Divide Use unit form to help you 5 60 2 6 tens tens

A boat heading out to sea starts out at Point A at a horizontal distance of 1433 feet from a lighthouse the shore From that point the boat s crew measures the angle of elevation to the lighthouse s beacon light from that point to be 15 At some later time the crew measures the angle of elevation from point B to be 6 Find the distance from point A to point B Round your answer to the nearest tenth of a foot if necessary

In order to receive a year end bonus a sales representative has to sell at least 210 of merchandise per day by the end of the year Frank currently sells 55 of merchandise per day and thinks that with experience he can increase his merchandise sales by 10 per day each week Which of the following represents the number of dollars of merchandise per day that Frank thinks he will be able to sell w weeks from now A 10 55w B 210 10w C 55 10w D 55 10w

For the galvanic cell reaction expressed below using shorthand notation what half reaction occurs at the cathode Ba s Ba2 aq 11 Cd2 aq Cd s Ba s Ba2 aq 2 e OCd s Cd2 aq 2 e O Ba2 aq 2 e Zn s O Cd2 aq 2 e Cd s

What element is being oxidized in the following redox reaction C3H802 aq Na2Cr207 aq C3H404 aq Cr 3 aq O Cr OH O Na O O O C

Determine the equilibrium constant for the following reaction at 549 K CH2O g 2 H2 g CH4 g H2O g AH 94 9 kJ AS 224 2 J K O 2 08 10 3 O 1 07 x 109 O481 O 1 94 x 10 12 O 9 35 10 10

What is true if In K is positive O AG rxn is negative and the reaction is spontaneous in the forward direction under standard conditions O AG rxn is positive and the reaction is spontaneous in the reverse direction under standard conditions O AG rxn is negative and the reaction is spontaneous in the reverse direction under standard conditions O AG rxn is zero and the reaction is at equilibrium under standard conditions Answer B O AG rxn is positive and the reaction is spontaneous in the forward direction under standard conditions

The molar solubility of Ba3 PO4 2 is 8 89 x 10 9 M in pure water Calculate the Ksp for Ba3 PO4 2 8 16 x 10 31 M O 5 55 x 10 41 M O4 94 x 10 49 M O 5 33 x 10 37 M O 6 00 x 10 39 M

Calculate AS rxn for the following reaction The S for each species is shown below the reaction N2H4 1 H2 g 2 NH3 g S J mol K 121 2 130 7 O 118 2 J K O 59 1 J K O 133 7 J K O 133 7 J K O 444 7 J K 192 8

Consider a reaction that has a positive AH and a negative AS Which of the following statem TRUE O This reaction will be nonspontaneous only at high temperatures O This reaction will be spontaneous only at high temperatures O This reaction will be spontaneous at all temperatures O It is not possible to determine without more information O This reaction will be nonspontaneous at all temperatures

et A 1 0 1 0 Use elementary row operations to reduce AI to I A 1 find A Keep track of each elementary row operations used Find the elementary matrices E E2 Ep that correspond to the elementary row op rations used in problem 3 Verify by a direct calculation that A EpEp 1 E

Find the volume of the figure Volume

The graph shown below in the ap plane shows p the atmospheric pressure of Earth in pounds per square inch psi for a given value of a the altitude above sea level in kilometers The Earth s atmosphere has the property that there is a fixed distance d such that for any altitude ao the pressure at an altitude of do d is one half the pressure at an altitude of ao What is the approximate value of d in kilometers I Pressure psi 154 144 134 12 11 10 1 A B 5 6 C 15 10 15 20 25 30 35 Altitude kilometers above sea level

1 Each of the following sets X ARE NOT vector spaces over the given field F and with the given operations List with justification all vector space axioms failed by the sets a X is the open upper half plane in R X C 8 d and both vector addition and scalar multiplication are the same as in R b The set X R2 over the field F are given by R U 0 R where vector addition and scalar multiplication a d and C a ca c X Rover F Z2 where vector addition is the same as in R and scalar multiplication is given by 0 x 0 and 1 x x

Function Parent Functions 1 Create a table of values showing at least four image points for the parent and transformed functions Parent Function x y g x x f x 3f x 1 4 Transformed Function Parent Function x y h x x Transformed Function

Name Circle 2 parts you see Make a number bond to 1 2

16 In the tea ceremony this type of ewer suich is used to replenish the water jar which holds water for rinsing tea bowls and filling the iron kettle Created in the early seventeenth century in Japan which medium does the ewer represent A Pottery B Painting C Installation D Textile

Question 52 Points 1 President Herbert Hoover received an 800 Million dollar spending package from Congress and constructed a Boulder Dam O the Million Dollar Highway O the Empire State Building O the Brooklyn Bridge

4a 10 pts Show that the following sequence of functions nx 2x is uniformly convergent on 0 1 and find Justify your answer TL lim 71 00 z 0 1 f fn 2 dx

R2 R is a linear transformation and the action of T on the special vectors UI and V is as given find a formula for T X where X is any vector in 3 T V 3 5 V 4 4 T U 4 3 N

5 Given the following graph find the adjacency list and the adjacency matrix and use it to determine how many paths of length three 3 exists from vertex 1 to 2 and from vertex 3 to 2 highlight the paths 3 marks 4 5

6 An airplane is flying on a bearing of N 30 W at 300 mph A strong jet stream speed wind of 90 mph is blowing at S 40 W a Find the vector representation of the plane an the wind b Find the resultant vector a b in component form that represents the actual course of the plane b Give the resulting speed and bearing of the plane N

Let X Normal 0 1 and Y X If the probability density function of is fy y then for y 0 fr y is e y e T e 2 y

2 Kirsten has 500 in her savings account She can save 50 each m a Write the function that represents this scenario input 4 SOO b Find f 2 Explain what this represents in this problem c Find m such that f m 800 Explain what this represents in this

The price of an hem yesterday was 160 Today the press to 232 fed me renta

a Constant volume b Constant temperature c Adiabatically 5 2R is compressed from P 5 bar and T 500 K to P 8 bar by each of the following paths Assuming mechanical reversibility calculate the total AU in J mol for all three processes R 8 3145 J molK4 Question 12 to One mole of an ideal gas with Cp 7 2 R and Cy 5 2R is compressed from P 5 bar and T 500 K to P 8 bar by each of the following paths a Constant volume b Constant temperature

The table below lists the masses and volumes of several pieces of the same type of metal There is a proportional relationship between the mass and the volume of the pieces of metal PIECES OF METAL Mass Volume grams cubic centimeters 34 932 47 712 61 344 99 684 4 1 5 6 7 2 11 7 Determine the mass in grams of a piece of this metal that has a volume of 15 3 cubic centimeters Round your answer to the nearest tenth of a gram

Analysis To the right is a graph showing sin 0 versus sin 02 for your data 1 Use a curve fit to help determine a value for the index of refraction for the acrylic lens n Assume that the index of refraction for air n is 1 Record your experimental value here 2 If acrylic glass has a theoretical index of refraction of 1 49 what is the percent error on your experimental value 2 0 error Theoretical Experimental Theoretical 100 3 What caused error in your measurements and how could these have been avoided sin 0 1 0 0 9 0 8 0 7 0 6 0 5 0 4 0 3 0 2 0 1 0 0 00 01 02 03 Linear mx b m 1 47 0 0039 b 8 23x10 4 0 0017 r 1 000 04 05 06

Use a method to yield the eigenvalue with the largest absolute value of the following matrix 4 2 11 0 3 12 with Fo 1 1 4 Show results of the first two iterations 21

2 points The Green Growery Nursery needs to borrow 48000 to increase its inventory for the upcoming summe session The owner is confident that he will sell most if not all of the new plants during the summer so he wishes to borrow money for only four months His bank has offered him a simple interest amortized loan at 93 interest a Find the size of the monthly bank payment b Complete the following amortization schedule for all four months of the loan Payment Number Principal Portion Interest Portion Total Payment 0 1 2 3 Balance

38 3 Simon takes a loan from Ayanda to the value of R25 000 to start up a new business Ayanda charges him interest at 12 per annum compounded semi annually Three years after he took out the loan Simon repays an amount of R12 000 Ayanda then changes the loan agreement and charges Simon interest rate of 15 per annum compounded monthly for ffuther 2 years At the end of the first year of this new agreement Simon borrows a further R10 000 3 3 1 Draw a timeline for the loan as described above 3 3 2 Calculate the amount of money that Simon owes after 5 years 3 5

A person bikes from home and bikes 9 miles west 5 miles northwest 4 miles north 5 miles northeast and 5 miles west If they went straig home how far s would they have to bike miles

Express the value shown thousands ten thousands 8 9 tens 15 ones 1 2 Express the value shown hundreds 2 tens ones 24 2

1 thousands Express the value shown 5 76 447 3 Use or to compare the two numbers 96 151 15 691 hundreds tens ones 67 2 18 The 7 in the ones place is 7 56 757 2 The 7 in the ones place is ten thousands 3 Express the value shown thousands 4 Rewrite in standard form hundreds 26 6 828 The 8 in the ones place is the value of the 8 in the hundreds place ones the value of the 7 in the ten thousands place the value of the 7 in the hundreds place 67 8 Convert 458 939 to expanded form 4000t 5 000 8 000 900 30 5 458 939 50 000 1 000 900 40 1 5 1941x101x 4 5 1941X10 1 2 3 5 6 7 8 9 10