Questions

Find the exact value of the trigonometric expression without the use of a calculator 5 AD 5 sin COS cos sin 12 12 8 8 8 8 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expre

4 Proof by induction Assume n is a positive integer Use induction to prove the following 1 5 9 4n 3 2n2 N

2 Pigeonhole principle Prove that if seven distinct numbers are selected from 2 3 4 12 then some two of these numbers will add up to 14 you can assume that the 7 can be picked up more than once Identify the pigeons and the holes Then using the Pigeonhole Principle prove that the statement is true

The probability is Type an integer or a simplified fraction

Complete the statement below Given that cos 3 i sin 3 130 i Then cos 3 i sin 3 is a n th root of

K fly selected 45 say job applicants should follow up within two weeks If 8 human resource managers are randomly selected find the probat exactly 6 of them say job applicants should follow up within two weeks The probability is Round to four decimal places as needed

Columbia class of 2024 has 1 800 students coming from the fifty US states Must the class have a group of at least 36 students from one state Use Generalized PHP

Find the Lateral Surface Area and the Total Surface Area of The Prism 2 5 ft 6 ft

A modified roulette wheel has 28 slots One slot is 0 another is 00 and the others are numbered 1 through 26 respectively You are placing a bet that the outcome is an odd number In roulette 0 and 00 are neither odd nor even a What is your probability of winning The probability of winning is Type an integer or a simplified fraction b What are the actual odds against winning The actual odds against winning are c When you bet that the outcome is an odd number the payoff odds are 1 1 How much profit do you make if you bet 12 and win If you win the payoff is d How much profit should you make on the 12 bet if you could somehow convince the casino to change its payoff odds so that they are the same as the actual odds against winning

ected 26 old female lives through the year An insurance company wants to offer her a one year policy with a death benefit of 1 000 000 How much should the compa charge for this policy if it wants an expected return of 300 from all similar policies The company should charge Round to the nearest dollar

used a meter to test three wires at a time How many different tests are required for every possible pairing of three wires The number of tests required is

Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial by applying the 5 guideline for cumbersome calculations If it is not binomial and cannot be treated as binomial identify at least one requirement that is not satisfied Surveying 50 homemakers and recording how satisfied they are with their toaster on a scale from 1 to 5 Choose the correct answer below OA It is binomial or can be treated as binomial OB It is not binomial because the probability of success does not remain the same in all trials OC It is not binomial because there are more than two possible outcomes and the trials are not independent OD It is not binomial because there are more than two possible outcomes

vers were screened and 7 were arrested for driving while intoxicated Based on those results we can estimate that P W 0 01043 whe W denotes the event of screening a driver and getting someone who is intoxicated What does P W denote and what is its value What does P W represent OA P W denotes the probability of screening a driver and finding that he or she is not intoxicated O B P W denotes the probability of driver being intoxicated OC P W denotes the probability of a driver passing through the sobriety checkpoint OD P W denotes the probability of screening a driver and finding that he or she is intoxicated PW

an equation for the graph sketched below 00 8 69 4 122 3 5432 12 6

Solve the following equation graphically over the interval 0 2 In 2x sin 2x The solution set is

man www The number of different ways that the letters of wireless can be arranged is Simplify your answer

Pyruvate reacts with which absorbs visible light at nm a a Malonate 450 b ATP 480 c DNPH 510 d PEP 510 Question 6 1 point Listen A What is Vmax a The velocity at which enzyme E is saturated with substrate S b The initial velocity of the enzyme at v S One half of the limiting enzymatic rate

For all equations written in terms of 8 find all degree solutions from 0 0 to 0 360 If the equation is written in terms of x write your solutions in radians using exact values for 0 x 2 1 3 sec 2 2 2 csc 0 2 3 V2 csc x 5 3 4 2 3 sec x 7 3 5 4 sin x 2 csc x 0 6 4 cos x 3 sec x 0 7 sec 0 2 tan 0 0 8 csc 0 2 cot 0 0 9 sin 20 cos 0 0 10 2 sin sin 20 0 11 2 cos 0 1 sec 0 12 2 sin 0 1 csc 0

You have isolated the enzyme Milleniase from the rare Y2K bug This enzyme cleaves the first two numbers off of four digit dates You flex your skills as an enzymologist and come up with the following graph of initial velocity as a function of substrate concentration A 40 35 30 25 20 15 10 5 0 10 20 30 40 50 60 S From the graph estimate KM a 5 b 7 c 35

For all equations written in terms of 6 find all degree solutions from 0 0 to 360 If the equation is written in terms of x write your solutions in radians using exact values for 0 x 2 1 3 sec 2 2 2 csc 0 2 3 V2 cscx 5 3 4 2 3 sec x 7 3

39 Physiology In the human body the value of 0 that makes the expression below equal to zero is the angle at which an artery of radius r will branch off from a larger artery of radius R in order to minimize the energy loss due to friction Show that the expression below is 0 when cos 0 A csc 0 R4 csc 0 cot R4

For retirement you deposited 27 per month into an IRA with 3 3 interest over thirty seven years How much money will you pay over that time Select one Oa 21 680 90 O b 35 824 77 O c 14 222 29 Od 19 840 29

O alyzes a The final step of glycolysis b None of these c The final step of the citric acid cycle d The first step of glycolysis Question 2 1 point Listen Tertiary structure of an enzyme forms the catalytic center that is called a Inhibitory site b Negative site c Neutral site

It suggests that binding of substrate changes shape of enzyme s active site or of the substrate in order to speed up a reaction in a Lock and key model b Induced fit model c Enzyme affinity model d Michaelis Menten kinetics Question 4 1 point Listen The concept of KM is a the product concentration b the substrate concentration from which VMAX is attained c none of these

23 sin cos 0 v

19 4 sin x 4 cos x 5

27 3 sin cos 0 0

You have isolated the enzyme Milleniase from the rare Y2K bug This enzyme cleaves the first two numbers off of four digit dates You flex your skills as an enzymologist and come up with the following graph of initial velocity as a function of substrate concentration 40 35 A 30 25 20 15 10 5 0 0 10 What is the approximate value of Vmax a 5 b 17 c 35 7 20 20 30 S 40 50 60

Find the possible rational zeros and all actual zeros Let d x x 3 3x 2 8x 10

Birim emberde Trigonometrik Oranlar 6 X m Yukar daki O merkezli birim emberde cos 34 du una g re n ka t r 1 1 edmeid its B C D 7 bri E 3 cunia Claim

Velocity is measured by a None of these b Concentration of product moles reaction time min c Moles Liter d Amount of product mol reaction time min

What is the best combination of Vmax KM for enzymes a Low Vmax High KM b High Vmax Low KM c Low Vmax Low KM d High Vmax High KM

Our enzyme of interest for this experiment is a Pyruvate kinase b ADP phosphatase c ATP kinase d Phosphoenolpyruvate PEP

What is Km a The amount of substrate consumed per unit time b The concentration of substrate at which v S c The substrate concentration at which v 1 Vmax d Vmax

8 of 19 Given the trigonometric ratios in the following table determine the corresponding angle 8 rounded to the nearest degree and the other two trigonometric ratios rounded to four decimal places wherever applicable a e sin e cos e tan 0 5299

Use the Cosine Law for Angles to find the measure of angle B in the triangle given below wherex a 9 cm b 14 cm and c 11 cm A b

Which matrix represents the system of equations shown below 3x 5y 12 A 5 12 3 2 15 B 3 5 15 4 2 12 C 3 2 12 5 15 D 3 5 12 4 2 15 4x 2y 15

tists books His early work examines characteristic surrealist topics of sexual olence and unorthodox sexual practices He combined found images and text to voke a narrative sense but maintained an air of mystery that keeps viewers rom obtaining enough clues to know what is being conveyed Hugnet s La sep i me face du d Po mes d coupages The Seventh Side of the Die Poems and Cut out montages 1936 is a ninety page offset printing work of twenty chapters The itle echoes French symbolist poet St phane Mallarm s Un Coup de D s N Abolira Jamais le hasard A Throw of the Dice will Never Abolish Chance 1895 which combines free verse and unusual typographic layout whose cover Duchamp helped design Each unconventionally laid out page features poetry in a multitude of typefaces with some small appropriated images against a montage of found images and text The merging of images and text produces a suggestive serial narrative that contemplates interior pathologies based on the photographic evidence An erotic fantasy of male supremacy is established through installments revolving around a young girl s sexual life Bare breasted women appear in enigmatic situations featuring sadomasochist activities and positions of male conquest and control Hugnet s ordered montages contain an abundance of open white space and have a shared ancestry with Moholy Nagy s fotoplastiks The clarity of Hugnet s con structions can be even more disconcerting than Moholy Nagy s as what is actual This is a graded discussion 10 points possible Week 10 Discussion Post A Discussion Board Posts 25 total As a measure of your participation you will write 200 word minimum the readings as well as responding to at least one other post In these to see concrete examples where you critically reflect on the readings include citing specific photographs and photographers theoretical con between different readings ideas themes and or the author s own arge t

Around 1919 French photographer performance artist and writer Lucy Renee Mathilde Schwob changed her name to Claude Cahun 1894 1954 and began cre ating staged self portraits and tableaux that defied socially accepted notions about beauty gender and identity In the early 1920s Cahun settled in Paris with her lifelong partner and step sibling Suzanne Malherbe 1892 1972 who adopted the name Marcel Moore Here the two began collaborating on photographic based works sculptures and written projects In her androgynous ever changing com pendium of self portraits Cahun surrealistically portrayed herself as a dandy model nymph soldier and with a shaved head Although her photographs do not appear aesthetically daring their straightforwardness plays off of our attachment to the idea that what a photograph depicts is true This makes her images even more otherworldly Cahun s chameleon like representations in which it can be difficult to determine the persona s gender challenged the surrealistic good old boys club that considered women as muses or erotic symbols By visualizing mul tiple gender possibilities Cahun concludes that identity can be malleable In 1937 the couple moved to the island of Jersey in the English Channel which was later occupied by the Nazis during World War II In 1944 due to their artistic and politi cal resistance activities plus Cahun s Jewish heritage the Germans arrested Cahun and sentenced her to death Although the sentence was not carried out her health never recovered from her brutal treatment while in German captivity Af ter the war Cahun s work fell into obscurity until the 1990s when her disconcert ing gender bending role playing images were recognized as precursors of Cindy This is a graded discussion 10 points possible Week 10 Discussion Post A Discussion Board Posts 25 total As a measure of your participation you will write 200 word minimum the readings as well as responding to at least one other post In these p to see concrete examples where you critically reflect on the readings T include citing specific photographs and photographers theoretical con between different readings ideas themes and or the author s own argu t

This exercise uses the radioactive decay model A wooden artifact from an ancient tomb contains 70 of the carbon 14 that is present in living trees How long ago was the artifact made The half life of carbon 14 is 5730 years Round your decay rate r to 6 decimal places Then round your answer to the nea whole number yr

TOTOR POPUL I AM TH TRAIN DOHT K65 M TOR UDE CAHUN I am in Training Do Not Kiss Me 1927 4 x 2 inches Gelatin er print un s self portraits are a radical expression of the re examination of female ntity and gender in the 1930s Surrealists such as Andr Breton annreciated due Apr 7 at Week 10 Discussion Post A Discussion Board Posts 25 total As a measure of your participation you will write 200 word minimum responses the readings as well as responding to at least one other post In these posts I want to see concrete examples where you critically reflect on the readings This can include citing specific photographs and photographers theoretical connections between different readings ideas themes and or the author s own argument

alle on became a prized accessory of art Dissenting artists ted an ambiguous environment of detachment and uncertainty making them or themes of twentieth century art that have continued to isolate artists and r art from mainstream society addition to his economic theories Karl Marx 1818 1883 believed that art is t of a shared social reality and must be integrated into daily life As the social ction of art shifted from the public to the private Marxist critics assailed the sumption that the purpose of art was aesthetic and individualistic Marxists tended that art should scrutinize political and social reality getting behind ap arances to elucidate social relationships They also insisted that art must not orce itself from the realities of everyday people as this weakened its ability to apoint problems and bring about social change For art to be vital Marxists ar ed it must operate within society and reach a large and diverse audience a al for which photo based processes with their reproducibility seemed ideal The As a measure of your participation you will write 200 word minimum responses to the readings as well as responding to at least one other post In these posts I want to see concrete examples where you critically reflect on the readings This can include citing specific photographs and photographers theoretical connections between different readings ideas themes and or the author s own argument Please refer to my separate guide on discussion posts for full details Posts are due

Use a calculator to evaluate the trigonometric function Round your answer to four decimal places Be sure the calculator is se the correct angle mode cot 117

b 1 1 y sin e cos 0 tan e csc e sec 0 cot e

48 6x Be sure to show your thinking 2 Solve 3 Solve 15x 60 240 3x 8 11

Use a calculator to evaluate each function Round your answers to four decimal places Be sure the calculator is in the corred angle mode a cos 8 50 29 b sec 56 20

According to a census bureau from 2000 to 2016 the population of a certain region grew from 276 million to 309 million What was the percent of increase The percent of increase is Round to one decimal place as needed

2 i Simplify each expression to a single term tn r in Pascal s triangle C 2 ii Find the numerical value of this term K U 2 a t32 20 32 21 b t40 12 139 12

The base of a solid is a circular disk with radius 5 Parallel cross sections perpendicular to the base are squares Find the volume of the solid 855

Let n 80 X 30 n 80 and X 10 a At the O 01 level of Significance is there levidence of a Significant difference between the two population 1 Calculate the test Statistic ZSTAT based on the difference P P