Basic Math Questions and Answers

Directions Find the average rate of change of each function on the given interval Round your answer to the nearest hundredth if necessary 5 f x x 7x 11 8 5 6 f x 7 x 9 6

Find a vector u that is parallel to the yz plane and perpendicular to the vector v 3 4 4 u

Find the cross axb product a b where a 1 5 3 and b 1 2 5

Calculate the linear combination 2 2 1 1 3 0 3 2

2 2 Given A 2 1 2 1 2 3 6 determine if 3 is an eignevalue for the eignevector 2 1 0 0

Given A SERRAN Comprasebo VIME TE pada METERYWHE kon 1 0 2 1 2 1 find the Kernel and range of A 100 RECHER wee HUARED 2 RATING

NAME Which figure also has an area of 1 square units Select all that apply A B S no229 I tin Isido nworla al signstoe to lengsib ma qela noen bns Janogsib adi gnols signs wohl d 8916 C D

X and y x 6y 17 y 4x 4 are neal numbers then x y P

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

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

Perform the indicated operation by hand 2 0 06 0 003

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

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 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

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

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

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

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

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

Thursday 1 thousands 2 5 282 Express the value shown hundreds tens 4 6 3 Use or to compare the two numbers 84 48 The 2 in the ones place is 6 823 895 The 8 in the hundreds place is place 7 2 293 ones 35 The 2 in the hundreds place is 2 8 Convert 388 884 to expanded form 4 Express the value shown hundreds tens 45 3 thousands 3 Rewrite in standard form 3 000 800 50 7 the value of the 2 in the hundreds place ones 19 the value of the 8 in the hundred thousands the value of the 2 in the thousands place 1 2 3 4 5 3 857x10 7 8 9 10

Wednesday 1 Express the value shown hundreds 3 3 Use or to compare the two numbers 1 874 1 874 5 6 346 tens ones 51 3 The 6 in the ones place is 6 133 481 The 3 in the thousands place is place 7 686 The 6 in the hundreds place is ten thousands 4 8 Convert 96 824 to expanded form Express the value shown thousands 23 7 hundreds 7 the value of the 6 in the thousands place 4 Rewrite in standard form 800 000 40 000 4 000 700 30 ones the value of the 3 in the ten thousands the value of the 6 in the ones place 57 2 3 elahe 8 41737X105 4 7 8 9 10

fairness O There are multiple definitions and ways to measure fairness and these often contradict each other O For many companies investing in algorithmic fairness may come at the expense of execution speed or model performance Most customers users individuals do not observe issues of algorithmic fairness so solving them does not impact the bottom line O Solving issues of algorithmic fairness often requires access to sensitive data which is

Which of the following is not a common way to get interpretable insights from a model Use feature importance plots to understand which features are contributing value to the model Use a precision recall curve to show classifier performance at different thresholds Use an instance based explanation method such as LIME or SHAP Use Partial Dependency Plots to show how an individual feature influences model decisions holding all else constant

Which of the following best describes an allocative harm within the topic of algorithmic fairness A discriminatory system that withholds certain opportunities freedoms or resources from specific groups A system that reinforces negative stereotypes along the lines of identity or protected class A system that has higher false positive rate for a historically marginalized community O A system that allocates opportunities to people through automated classification

9 617 274 The 7 in the thousands place is the value of the 7 in the tens place

9 914 The 9 in the hundreds place is the value of the 9 in the thousands place

8 Convert 3 142 to expanded form