Questions

Exercise 4 A poster of 6000 square inches is to have 6 inch top and bottom margins and 10 inch left and right margins If the poster must be at least 120 inches wide and at least 30 inches tall what are the dimensions of the poster that has the largest possible area within its margins

Write the equation of a sine or cosine function to describe the graph AA 2 TE IM 4 3 5 3 7 T 0 0 Es X

The palm like structure identified below is the

The palm like structure identified below is the Archegonia of mosses

If the population of the United States increased to 362 million and the number of representatives remained 435 how many Americans on average would each representative serve With this population if the number of representatives were set at the constitutional limit of one representative for every 30 000 people how many representatives would there be in Congress If the United Stated population were 362 million and there were still 435 members in the House of Representatives each representative would serve about people Round to the nearest whole number as needed

Briefly summarize each of the four fairness criteria For each one give an example that describes why an election would be unfair if the criterion were violated Describe the first of the four criteria Fill in the correct answer below If a candidate receives a majority of the first place votes that candidate should be the winner Give an example that describes why an election would be unfair if this criterion were violated Choose the correct answer below OA Under this criterion all elections would be fair OB Under this criterion an election would be unfair if no candidate received a majority vote A OC Under this criterion an election would be unfair if a candidate other than the one who receives a majority of the first place votes wins

Properties of Logs Rewriting one log as multiple logs is an example of Rewriting multiple logs into a single log is an examp expanding condensing

The Hitler Youth movement encouraged obedience and conformity Children were encouraged to give up their own individuality in favor of the Aryan community Books that did not align with Nazi ideology were burned These bonfires were very public rituals designed as grand spectacles with bands playing and people reciting oaths of national glory The police monitored all activities of the people With few if any restraints and no free press or independent courts to check its actions the police enforced Nazi policies at will On November 9 and 10 1938 mobs in Germany and Austria went on a rampage attacking Jewish people their businesses homes and houses of worship Designed to look spontaneous the attack was directed by the Security Police These coordinated attacks became known as Kristallnacht the night of the broken glass Anti semitism led to the persecution of Jews They were segregated discriminated against and humiliated A beard was a sign of a religious Jewish man This boy was forced by the Nazis to cut his father s beard Proclaiming the joy of motherhood women were encouraged to focus on marriage and raising children They were honored for having many children Interpret What do these convey about life under Nazi rule

Synthesize How do the images in the interactivity illustrate the 1937 speech by Hitler quoted here for for For everyone has to obey orders We have obeyed orders And I must demand this of every German You too must be able to obey orders We shall educate our People to do this and ignore the obstinacy or stupidity of individuals Bend or break one or the other We cannot permit this authority

The number of hours per week that the television is turned on is determined for each family in a sample The mean of the data is 35 hours and the median is 31 2 hours Twenty four of the families in the sample turned on the television for 20 hours or less for the week The 12th percentile of the data is 20 hours Step 3 of 5 Based on the given information determine if the following statement is true or false Answer Approximately 100 families turned on their televisions for less than 31 2 hours Tables KE Keyboard Sh E

Q1 What is the highest common facto of the numbers 30 and 132 1 3 2 6 3 7 4 9

At a meeting of a weight loss group each of the 30 members reported the number of calories in his her supper the previous day For the grouped data listed below give the modal class and compute the mean and standard deviation Round the values to the nearest hundredth two decimal places Class Limits Frequency 3 427 445 446 464 465 483 484 502 503 521 Paragraph Modal class Mean 26 4 15 BIU A Ev II

Devise a preference schedule with three candidates three rankings and seven voters in which the point system Borda count violates Fairness Criterion 1 Explain your work Choose the correct answer below O A First A Second B Third OC First Second Third C 4 C A C B 1 AB03 AB02 C CBA2 CAB2 B First Second Third D First Second Third ABC4 A 4804 B C A B C 1 B C A 2 A B C 2 C B A 1 TI

Suppose the point system Borda count is used on the following preference schedule Is fairness criterion 4 violated Explain Is fairness criterion 4 satisfied OA No because if a second election is held candidate A might win B Yes because if a second election is held candidate C might win C No because if a second election is held candidate C might not win D Yes because if a second election is held candidate B might not win First Second Third Number of Voters CABS 5

Briefly summarize each of the four fairness criteria For each one give an example that describes why an election would be unfair if the criterion were violated Describe the first of the four criteria Fill in the correct answer below If a candidate receives a of the first place votes that candidate should be the winner

Consider the preference schedule for five candidates shown to the right Suppose the winner is decided by sequential runoffs Analyze whether this choice satisfies the four fairness criteria Is the criterion that states If a candidate receives a majority of the first place votes that candidate should be the winner satisfied O No Impossible to determine First Second Third Fourth Fifth O Does not apply A B C D E E D C C BA 20 CREDAT B 11 10

Suppose the method of pairwise comparisons is used on the following preference schedule Is fairness criterion 4 satisfied Is fairness criterion 4 satisfied Yes First Second Third Fourth Fifth ABCDES 5 ACDEBT 7

The mean of a distribution is 16 and the standard deviation is 5 Use Chebyshev s Theorem and the formula 1 1 k to determine the minimum percentage of values that will fall between 1 and 31 Round your answer to the nearest hundredth two decimal places

The equivalent exp Look at the Example Suppose the club increases the selling price of a frame to 13 Write an expression with exactly two terms for the amount of money the club will make for selling fframes Show your work 13 2 11 V e

are Function Given the function f x x describe the transformation represented by a r 1 f r 5

In circle W m VWU 107 Solve for a if mVU W 3x 39 If necessary round your answer to the nearest tent

The ocular or eyepiece of the microscope you use has a magnification of 10X What is the total magnification if you observe a slide with the low power lens in position 20x 40x 100x 400x

4 21 69 2 12 y 0 5 1 1 5

17 A 0 5 1 1 5 2 f 2

15 2 23 EN

11 1 46 R2 2 T 3

9 3 2 2 3 y TE R 37 2 27

For each equation identify the amplitude period and phase shift Then label the axes accordingly and sketch one complete cycle of the curve 11 y sin 2x 12 y sin 2x n 7 2 13 y cos 2x 14 y cos 2x

Use your answers to Problems 11 16 for reference and graph one complete cycle of each of the following equations 25 y 1 sin 2x 26 y 1 sin 2x 2x 7 2 27 y 2 cos 2x 29 y 2 2 sin 1 x 7 2 28 y 2 cos 2x 2x 1 2 30 y 3 3 cos x 77 3

For each equation first identify the phase shift and then sketch one complete cycle of the graph In each case graph y sin x on the same coordinate system 7 1 y sin x x 77 3 y sin x x 3 5 y sin x n x 7 4 y sin x 7 1 6 y sin x 3 2 y sin x

When a company discontinues an operation and disposes of the discontinued operation component the transaction should be included in the income statement as a gain or loss on disposal reported as O a bulk sale of plant assets included in income from continuing operations O an amount after continuing operations O a prior period adjustment an unusual item

Listed below are the conference designations of teams that won a certain annual tournament where N denotes a team from conference N and A denotes a team from the other conference conference A Do the results suggest that either conference is superior Use the runs test with a significance level of a 0 05 ANANNAANNANNAANNNNNANANAAANNNAANNANANAANA Determine the hypotheses Choose the correct answer below OA H The data are in a random sequence H At least some of the data are in a sequence that is not random B H The data are in a random sequence H The data are in a sequence that is not random OC Ho At least some of the data are in a sequence that is not random H The data are in a random sequence D H The data are in a sequence that is not random H The data are in a random sequence Compute the test statistic GTTS

Identify the rank sum R of the Sample 1 values Sample 1 values 9 10 13 15 Sample 2 values 26 29 37 38 R 18 36 40 43 47 50 56 45 52 53 54 59 64 65 66 0

The table shows the earnings in thousands of dollars of a random sample of 11 people with bachelor s degrees and 10 people with associate s degrees At a 0 05 is there en evidence to support the belief that there is a difference in the earnings of people with bachelor s degrees and those with associate s degrees Complete parts a through e bel Degree Bachelor s 43 67 Associate s 28 40 30 Salary in thousands of dollars 64 63 71 63 31 70 41 26 51 41 46 25 31 30 29 31 a Write the claim mathematically and identify Ho and H Ho Hy f Those with bachelor s degrees do not earn more Those with bachelor s degrees earn less There is a difference in earnings Those with bachelor s degrees do not earn less Those with bachelor s degrees do not earn more

I Disorde Assume in the questions below that the affected individual has an autosomal recessive disorder Use A and a PTO I I II IT 1 2 I What is the genotype of I IP 2 How do you know III 2 7 What is the genotype of II I 8 How do you know Assume in the questions below that the affected individual has an autosomal dominant disorder Use B and b 1 X 2 II 2 2 3 What is the genotype of II I 4 How do you know II 2 9 What is the genotype of II 10 How do you know II 2 5 What is the genotype of I 2 One pedigree shown below has a family with individuals affected by an autosomal recessive disorder The other has a family affected by an autosomal dominant disorder How do you know which is which Label each pedigree with its inheritance pattern and explain your answer REMEMBER IF more individuals are affected it DOES NOT mean the disorder is caused by a dominant allele That is not a valid reason to use in your explanation 13 Inheritance Pattern 15 Inheritance Pattern 14 How do you know 6 How do you know II 2 II What is the genotype of I 1 12 How do you know 16 How do you know I A 1 2 2 3

Find the values of a where the tangent line to the graph of f x y 6x 7 Give exact answers not decimal approximations Tip To entera type either sqrt a or a 1 2 The greater solution is x and lesser solution is x 1 X is parallel to the line

Define and describe the Middle Passage How did the Monroe Doctrine change the foreign policy of the United States

Following the Civil War explain President Lincoln s plan for Reconstruction List the reasons for the first Red Scare of the 1920 s

Identify the D Day invasion and its impact in World War II During the colonial period what area of the US based their economy solely on agriculture and slavery Explain the reasons behind the drafting of the Declaration of Independence Define the Compromise and identify the reasons it was added to the Constitution What was the impact of Shays Rebellion

During Reconstruction why were the Radical Republicans in conflict with Pres Johnson List three 3 federal decisions that dealt with the expansion of slavery into the territories prior to the Civil War What treaty ended the Mexican American War What present day territory did the US gain as a result of this territory List the contributing factors to the end of the Plains Indians after the completion of the Transcontinental Railroad What groups of immigrants built the Transcontinental Railroad

Write and simplify a polynomial with 4 31 and 0 multiplicity 2 as roots Write yo

Teacher 1 Use trigonometric ratios to find the value of each variable Round decimals to the nearest tenth SHOW WORK c a 10 26 A 10 Tan 35 X 10 7 12 2 y X 7 0 Y Cos 35 10 Y YC05 35 10 5 N x 35 y Cos 350 8 b 200 Find the value of angle x Round to the nearest degree SHOW WORK a b 3 0 5 8

Two cards are drawn from a regular deck of 52 cards without replacement What is the probability that the first card is an ace of clubs and the second is black Answer

Suppose that 28 000 from a retirement account is invested in a large cap stock fund After 20 years the value is 86 000 Use the model A Pertto determine the average rate of return under continuous compounding Round to three decimal places Avoid rounding in intermediate steps Your Answer

Solve the equation Round your answer to 3 decimal places e x 2 5 X

Determine the domain and range of the 5 co 2 5 4 2 b 1 1 0 1 2 3 1 N 2 Domain 4 3 Range 5 5 Domain 4 3 Range 5 5 3

Pertor A P 1 nt to solve the following Use the model A Pertor A problem 45 000 is invested at 3 1 compounded monthly How long will it take for the investment to double Round to the nearest tenth of a year

Determine the end behavior of 2 f x 5x x 4 x 2 5 x 3

The equation p 100 000 0 8 represents the population p of migrating butterflies w weeks since they began their migration 5 1 Is the population growing or decaying Explain your thinking 5 2 By what percent is the butterfly population changing each week 5 3 What will the population be after 5 weeks A book sold 600 000 copies the year it was released Each year the number of copies sold decreased by 50 7 1 Write an equation that represents the number of copies c sold t years after the book was released 7 2 Use a graphing calculator to determine the value of c when t 6 Explain what it means in this context The equation A 5 000 1 25 represents the area of a forest in acres A where d is the number of decades since 1950 6 1 is the area of the forest growing or decaying Explain your thinking 6 2 By what percent is the area changing each decade 6 3 What was the forest s area after 4 decades Scientists tracked the population of bees p t in a county for t years They wrote the equation 100 000 0 82 to represent their findings p t 8 1 Describe what each number in the equation represents in this situation 8 2 Calculata p 3 Explain what that means in this context

America s dependency on foreign oil has always been a hot political topic with the amount of imported oil fluctuating over the years due to political climate public awareness the economy and other factors The amount of crude oil imported can be approximated by the function given where x represents the year since 1980 and A x represents the number of barrels imported in billions Give your answer to the nearest hundredth If the hundredths place is a zero please include it A x is listed below 0 044x 2 0 369x 1 5 0 x 8 8 x What was the minimum number of barrels imported between 1980 and 1988 0 072x 2 1 496x 1 5