Questions

Translate to an algebraic expression A driver drove at a speed of 52 mph for t hours How far did the driver go The algebraic expression 52 mph at t hours is d miles

Excerpt from Why the German Republic Fell by Bruno Hellig published in Why the German Republic Fell And Other Studies of the Causes and Consequences of Economic Inequity edited by Arthur Madsen published by The Hogarth Press London UK 1941 Hellig was a journalist for newspapers in Vienna Budapest Prague and Berlin who was arrested In Austria in 1938 for being Jewish He was released from a concentration camp in 1939 emigrated to Britain and served in the British Royal Air Force during the Second World War Was there a link between the economic and the political collapse Eventually yes For as unemployment grew and with it poverty and the fear of poverty so grew the influence of the Nazi Party which was making its lavish promises to the frustrated and its violent appeal to the revenges of a populace aware of its wrongs but condemned to hear only a malignant and distorted explanation of them In the first year of the crisis the number of Nazi deputies to the Reichstag parliament rose from 8 to 107 A year later this figure was doubled In the same time the Communists captured half of the votes of the German Social Democratic Party and the representation of the middle class practically speaking disappeared In January 1933 Hitler was appointed Reichskanzler Chancellor he attained power as I said before quite legally All the forms of democracy were observed It sounds paradoxical but it was in fact absolutely logical 14 Who is the author of Source C7 15 In what way does Heilig s profession as a journalist provide value to this source for a historian studying interwar conditions in Europe 16 In what way does Heilig s profession as a journalist lead to limitations of this source for a historian studying interwar conditions in Europe

To make copies of blueprints Vantage Reprographics charges a 5 setup fee plus 3 per copy Myra can spend no more than 56 for copying her blueprints What numbers of copies will allow t stay within budget Select the correct choice below and if necessary fill in the answer box to complete your choice OA Myra can make or fewer copies

f Boris recorded the number of daylight hours on the first day of each month in a northern hemisphere town This data was plotted onto a scatter diagram The points were then joined by a smooth curve with minimum point 0 8 and maximum point 6 16 as shown in the following diagram hours of daylight each day 16 12 6 9 12 month of the year Let the curve in the diagram be y f t where t is the time measured in months since Boris first recorded these values Boris thinks that f t might be modelled by a quadratic function leng a Write down one reason why a quadratic function would not be a good model for the number of hours of daylight per day across a number of years Paula thinks that a better model is f t a cos bt d t 0 for specific values of a b and d For Paula s model use the diagram to write down b the amplitude c the period d the equation of the principal axis e Hence or otherwise find the equation of this model in the form f t a cos bt d For the first year of the model find the length of time when there 10 hours and 30 minutes of daylight per day 1

2 a Write an equation of the form y a x h k with vertex 2 10 that models the flight path for the toy rocket assuming the rocket leaves the ground at 0 0 5 marks Hint to find the value of a use the coordinates of a point where rocket leaves the groung and your knowledge of h and k values of the vertex form b What are the domain and range of the function What do they represent in this situation 3 marks

16 is what percent of 80 16 is of 80 Simplify your answer

Translate to an inequality The amount of water is not to exceed 440 liters The inequality is L Type an inequality using W as the variable

Solve the formula for the indicated variable C xn q for n

2 1x 1 34 0 42 6 7x The solution is x

Suppose the binomial expansion of x y includes the term 165 y 83 65 The xy5 term in the expansion will be The 48 torn in the expansion will be

Causes of Expansion Explain the following as causes for German Expansion using textbook packet Explain how the flaw of collective security in the League of Nations led to German Expansion From previous reading Explain how Fascist Nazi ideology foreign policy caused German Expansion 149

League GB FR Invasion of Abyssinia 1935 US Italian East Africa Formed 1936 Rome Berlin Axis 1936 Spanish Civil War 1936 USSR Pact of Stee Invasion of Albania

4x 7 62 Select the correct choice below and fill in the answer box within your choice Simplify your answer A The solution set is x x B The solution set is xx OC The solution set is x x D The solution set is x x

Rome Berlin Axis 1936 159 Anti Comintern Pact 1936 159 Spanish Civil War 1936 160 Anschluss

Solve using the principles together Check your answer 8y 7 23 2y The solution is y or a simplified fraction

na particular city taxis charge an initial fee of 3 50 plus 2 20 per mile How far can a passenger travel for 49 70 The passenger can travel miles Type an integer or a decimal

10 If fis continous S sex dx 19 evaluate 15x dx 2

Sylvia makes pizzas at an Italian restaurant A large pizza is listed on the menu as being 16 inches Sylvia wants to know how accurate she is at throwing dough to that size A coworker measures all the pizzas Sylvia throws and they randomly select 35 data points They use this data to calculate the following 95 confidence interval 15 85 16 10 Use this to recommend a strategic decision 1 point Sylvia should use more dough since the least value of the confidence interval is less than 16 inches Sylvia should use less dough since the greatest value of the confidence interval is greater than 16 inches Sylvia should continue using the same amount of dough since 16 inches is contained within the confidence interval O Sylvia should use more dough so that the entire confidence interval is greater than 16 inches

approximafely modelled by the equation P asin bt c a b c R where t is measured in mont is from the time of the initial measurements In a 12 month period the maximum population is 2600 and oceurs when t 3 and the minimum population is 800 and occurs when t 9 Find the value of t at which the population first reaches 2200 P 3 2600 80 a i Find the value of a a ii Find the value of b 9 800 12 t a iii Find the value of c Find the value of t at which the population first reaches 2200

Solve for m 30 m The solution is m Simplify your answer

Solve using the multiplication principle 5 35 4 12 J Type an integer or a simplified fraction

Solve the following inequality using the addition principle and the multiplication principle 3 r 6 2 4 r 2 21 Select the correct choice below and fill in the answer box to complete your choice Type an integer or a fraction A The solution set is rlr OB The solution set is r r OC The solution set is rir D The solution set is rirs

Consider the function f x ax2 bx c The graph of y f x is shown in the diagram The vertex of the graph has coordinates 0 5 12 5 The graph intersects the x axis at two points 2 0 and p 0 diagram not to scale 2 0 p 0 10

3 A riverboat travels at an average of 14 km per hour in still water The riverboat travels 110 km east up the Ohio River and 110 km west down the same river in a total of 17 5 hours To the nearest tenth of a kilometer per hour what was the speed of the current of the river

The graph of the quadratic function f x x 2 x 8 intersects the y axis at 0 c a Find the value of c C 8 The vertex of the function is 3 12 5 b Write down the equation for the axis of symmetry of the graph The equation f x 12 has two solutions The first solution is x 10 c d e Use the symmetry of the graph to show that the second solution is x 4 om Write down the x intercepts of the graph On graph paper draw the graph of y f x for 10 x 4 and 14 y 14 Use a scale of 1 cm to represent 1 unit on the x axis and 1 cm to represent 2 units on the y axis

A player throws a basketball The height of the basketball is modelled by h t 4 75t2 8 75t 1 5 t 0 where h is the height of the basketball above the ground in metres and t is the time in seconds after it was thrown a b Find how long it takes for the basketball to reach its maximum height 6 909 maximum Assuming that no player catches the basketball find how long it would take for the basketball to hit the ground Another player catches the basketball when it is at a height of 1 2 metres 1 2 4 75 t 8 75 1 5 9 bns 0 c Find the value of t when this player catches the basketball U 20 9

2 Water flowing through both a small pipe and a large pipe can fill a water tank in 9 hours Water flowing through the large pipe alone can fill the tank in 17 hours Write an equation that can be used to find the amount of time t in hours it would take to fill the tank using only the small pipe

A researcher took a random sample of 100 students from a large 95 confidence interval to estimate the average weight of the students at this university The confidence interval was too wide to provide a precise estimate 5 points True or false The researcher could produce a narrower confidence interval by increasing the sample size to 150 A O True B O False Question 4 Select one answer A researcher took a random sample of 100 students from a large university She computed a 95 confidence interval to estimate the average weight of the students at this university The confidence interval was too wide to provide a precise estimate 5 points True or false The researcher could produce a narrower confidence interval by increasing the confidence level to 99 A O True RFalse

A spherical planet of radius 3000 kilometers has h an atmosphere whose density is 25 e where h is the altitude above the surface of the planet Find the mass of the planet s atmosphere Units for the density are grams per cubic kilometer

Select one answer 10 points Suppose we take two different random samples from the same population of test scores The population mean and standard deviation are unknown The first sample has 25 data values The second sample has 64 data values Then we construct a 95 confidence interval for each sample to estimate the population mean Which confidence interval will have greater precision smaller width for estimating the population mean A O The confidence interval based on the sample of 64 data values will be more precise B Both confidence intervals will have the same precision C O The confidence interval based on the sample of 25 data values will be more precise Question 8 Students in a statistics class take a random sample of 100 students at their college and record how many units each student is enrolled in The students compute a 90 confidence interval for the mean number of units for students at their college and get 11 93 12 47 Select one answer 10 points Next the students calculate a 95 confidence interval As the confidence level increases which of the following will happen to the interval width A O Decrease B Increase C Stay the same

Genetically modified foods In American adults say that genetically modified GM foods are generally safe to eat The margin of error for the 95 confidence interval is 3 1 C Funk and L Raine Public and Scientists Views on Science and Society 2015 http www pewinternet org 2015 01 29 chapter 3 attitudes and beliefs on science and technology topics vaccines and access to experimental treatments 18 point gap What does this margin of error tell you about the results of the survey A O We are 95 confident that the sample proportion is off by 3 1 B O We are confident that 95 of the responses are within 3 1 of the population proportion C O We are 95 confident that the population proportion is within 3 1 of the sample proportion of 37 roportion of 37

What is a dog

2 2 Sum the function F x y z x y z over the solid cylinder bounded by x y 1 and the planes z 0 and z 1 Do this two ways 1 using Cartesian coordinates 2 using cylindrical coordinates

2 x 2

7 Juan is planning the seating for a table dinner with his 9 friends They will all sit in a straight line along the table Find the probability that Tom will sit beside Jerry but Chip and Dale will not be seated together T I 4

Use four rectangles to find an estimate of each type for the area under the given graph of from x 1 to x 9 1 Take the sample points from the left endpoints Answer LA 2 2 Is your estimate L4 an underestimate or overestimate of the true area Underestimate 3 Take the sample points from the right endpoints Answer R 24 4 Is your estimate R4 an underestimate or overestimate of the true area Overestimate 5 Use the Trapezoid Rule with n 4 Answer T 3 25

4 2 Sum the function F x y z x y z 2 2 2 2 z 1 over the solid sphere bounded by x y Do this two ways 1 using Cartesian coordinates 2 using spherical coordinates

plane Two children are playing with a ball The girl throws the ball to the boy The ball travels in the air curves 3 m to the right and falls 5 m away from the girl as shown in Figure 5 46 If the plane that contains the trajectory of the ball is perpendicular to the ground find its equation 5m 3m

In 2015 as part of the General Social Survey 1176 randomly selected American adults responded to this question 10 points Some countries are doing more to protect the environment than other countries In general do you think that America is doing more than enough about the right amount or too little Of the respondents 514 replied that America is doing about the right amount What is the 95 confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment A O 0 423 0 452 B O 0 409 0 465 C O 0 4 0 474

B Find the average value of the function f p 0 0 p cos over the solid upper ball p 5 0 0 TT 2

10 points A Gallup survey of 2322 adults at least 18 years old in the U S found that 408 of them have donated blood in the past two years Construct a 90 confidence interval for the population proportion of adults in the U S who have donated blood in the past two years Round your answer to three decim places A O 0 163 0 189 B O 0 160 0 191 C O 0 156 0 196

For X Uniform a b Find EX Var X For X Exp 2 Find EX Var X

Classify each function as even odd or neither 101 B 8 4 2 8 10L f x 3x 4 h x 2x 3x Even Odd g x 2x 4x Odd

Use the Table of Integrals to evaluate the integral S e e2x 1dx 0

m B 100 and m ZA 35 find m C

Given the following functions find each of the values f x x 3x 2 g x x 1 f g 2 f g 3 f g 3 m 4 Question Help Video Message instructor

A player pays 2 to roll two six sided dice She wins 10 if she rolls a sum of 11 and 5 if she rolls a sum of 7 Given the probability distribution for the game below compute the expected value of the game to the nearest cent X 8 3 2 P X 2 36 6 36 28 36

A cone with a slant height of 25 meters has a radius 15 meters 25 m h 15 m Find the volume of cone using 3 14 Answer

A player pays 3 to randomly draw a card from a standard deck of playing cards He wins 12 if he draws a 10 and 6 if red odd card 3 5 7 or 9 is picked Determine the probability of each possible value of X the amount won or lost to complete the probability distribution for the game Give each value as a fraction with a denominator of 52 X 9 3 3 P X

Find the absolute maximum and absolute minimum for the function 3 f x x 16x 2 4 x 5 absolute minimum at x absolute maximum at x