Questions

Gray Wolves Revisited The United States Fish and Wildlife Service regularly monitors trends in the population of endangered species By modeling changes in the population they can determine if intervention is necessary for the survival of certain species Your work in class examined the gray wolf a protected species that currently resides in Minnesota Wisconsin and Michigan 2 Populations in the three states are monitored regularly to determine if the populations are experiencing growth or decline The gray wolf population in Minnesota was 3 020 in 2004 and 2 278in 2016 3 2U S Fish and Wildlife Service 2020 Gray wolves Western Great Lakes states Retrieved from https www fws gov midwest wolf history index html 3U S Fish and Wildlife Service 2020 Gray wolves Western Great Lakes states Retrieved from https www fws gov midwest wolf population mi wi nos html Assume that the gray wolf population in Minnesota can be modeled using a linear function Part A Is the gray wolf population increasing or decreasing Make sure you can explain why decreasing there is not enough information to tell increasing Part B What is the rate of change of the wolf population per year Round your answer to the thousandths place Answer wolves per year Part C Write a formula for the linear model M t that predicts the gray wolf population in Minnesota t years after 2004

6 In AWAG mZA 64 WA 16 and GA 9 Solve the triangle by finding all the missing measures of the sides and angles Round to the nearest tenth

Write name date and period Show all sketches and work 1 Determine if APQR is an acute obtuse or right triangle Give a reason for your answer P 10 32 6 44 R Q 8 14

Find the length of segment JK Round to the nearest hundredth J 23 H 29 31

8 Which of the following sets of conditions for AABC requires the Law of Cosines to solve the triangle A mZA mZB c B mZA mZC a C mZA b c D mZA a b

5 In ADEF angle F is an obtuse angle Is the value of d x ex cos F positive or negative Explain

7 What is the closest point on the parabola y x to the point 14 1

In the mid 1950s women made up only about one third of the enrollment at institutions of higher education By the 2000s approximately 57 of college students were women 1 We can write linear functions M t and F t which approximate the number of male and female students in higher education Here M t and F t are measured in thousands of students and t is the number of years after 1957 1 National Center for Education Statistics 2013 Retrieved and adapted from http nces ed gov programs digest d13 tables dt13 303 10 asp The following table provides the number of male students M t in higher education years after 1957 Use the table to answer the following questions t years after 1957 M t thousands of students 2 3377 3569 4 6 3761 Part A Calculate the growth rate of the male student population and give your answer using appropriate units Make sure you can explain in a complete sentence if this value indicates the population is growing or decreasing Answer thousand male students per year Part B Use your answer from Part A to estimate the number of male students in higher education in the year 1965

5 A square sheet of metal is sixteen inches on a side A square of side x inches is to be cut out of each corner of the metal sheet The sides of the sheet are then to be folded up to make a metal tray What should x be in order for the volume of the tray to be a maximum 6 There is a lamp on the ground exactly sixty feet from the vertical wall of a building A man six feet tall is walking away from the lamp in a

5 x 7y 20 y 2 7 x 3y 8

6 7x 3x2 x 3 4 puedy

Suppose the approximate number of male and female students in higher education can be modeled by the linear equations F t 1125 190t M t 3185 96t Remember that M t and F t are measured in thousands of students and t is the number of years after 1957 Use the equations for F t and M t to answer the following questions Part A How many female students attended college in 1957 Answer female students Part B Are the populations of male and female students growing or decreasing Make sure you can explain your answer Both are growing The female population is growing and the male population is decreasing Both are decreasing The male population is growing and the female population is decreasing Part C Which population is growing faster Make sure you can explain your answer There is not enough information to tell The female population is growing faster Both populations are growing at the same rate The male population is growing faster

Consider the following function 2 9 x 2 x 3 What is the domain of g Hint there are two issues with this function The square root must be positive and the denominator must be positive Answer

sin

Consider the following function h t 15 t What is the domain of h Hint There is one issue with this function unlike in Question 4 the square root must be positive Answer

In the last question it was easy to describe the one number that was not in the domain of f If you want to indicate that can be any number except 1 you may write x 1 The symbol is a not equal symbol Use the not equal symbol to indicate that can be any number except 2 Answer Select an answer 2 V Cal V N

Maximize the function P 5x 2y subject to Y 5x 9y 9x 5y ALALVIAI 0 0 45 45 What are the corner points of the feasible set The maximum value is None in the blanke provided if th and it occurs at T

The given point is reflected across the line indicated Find the coordinates of the image U across x 2 If the given point U is reflected across the line x 2 the image is Type an ordered pair

Find JCDF for fxy kg x slaken in the plane x 3 2 y2 05x y elsewh

Vectors u 2 cos 30 i sin30 j v 6 cos 225 i sin225 j and w 8 cos 120 i sin120 j are given Use exact values when evaluating sine and cosine Part A Convert the vectors to component form and find 7 u v Show every step of your work 4 points Part B Convert the vectors to component form and use the dot product to determine if u and w are parallel orthogonal or neither Justify your answer 6 points

1 A perimeter and area of each trapezoid Round to nearest tenths Drawings are not to scale 17 in 21 in 16 in 20 in 38 in 2 24 3 cm 8 5cm 9 cm 8 5 cm 9 7 cm 14 4 cm P

A spherical snowball is melting in such a way that its radius is decreasing at rate of 0 1 cm min At v rate is the volume of the snowball decreasing when the radius is 15 cm The volume of a sphere of radius r is V 4 3 The volume is decreasing at a rate of cm min

25 Two Independent RV s X x Bernoulli p YN Bernoulli g 1 1711 Find JPMF JCDF for X and Y Sketch

D 5 2 3 2y 11 7x 0 y 6x 5 A 1 1 C 1 1 B 1 1 D 7 1 5 24 2x 8y 5 0 1 x 18 A 6 0 C 0 3 Im B 0 4 D 5 0

5 No Child Left Behind was enacted to improve school performance standards and accountability What other component was a part of the improvements desired in No Child Left Behind 1 2 a Transportation b School choice c Funding d Diversity

Drag the appropriate expression to complete the first step for writing an equivalent rational expression POSSIBLE POINTS 4 x2 25 6 x 5 4 6 x2 25 x 5 1

POSSIBLE POINTS 3 Given the three functions f g and h answer the questions below by dragging the correct expression into the box provided f x 199 9 x 3 5z 2244z 3 The least common denominator of f a and g z The least common denominator of g z and h z The least common denominator of f z and h 2 h x 7 2 2x 3 x 3 x 1 x 3 2 3 z 3 z 1 x 1 z 3 z 1

Step 1 Step 2 Step 3 Step 4 Sum of the Fational expressions below Determine his error and solve the problem corre 5 224 2 2 5 x 2 x 2 X I x 2 x 2 x 2 5 x x 2 x 2 x 2 5 x x 2 x 2 x 2 5 x x 2

Rosa brought d drawings to an art show After selling 17 of them she had 22 left Identify the equation that represents this situation and the correct solution A d 1722 d 5 B d 17 22 d 39 C d 17 22 d 5 D d 1722 d 39

38 000 1 078 4 4

38 000 1 062 4

Find the range of the graphed function 10 A y 0 B 0 y 10 C 9 y 5 D y is all real numbers 10 10

A I shirt costs 4 times as much as a pair of SOCKS A I shirt costs 16 If s the cost of a pair of socks which mathematical sentence expresses the information above A 4s 16 B SA 16 C 16s 4 S 4 D 16

d 6 x x 6 x2 x 6x 2x 15 3 9 8 x 2x x 12 2 9 4 3

Which of the following is the graph of y 3x 2 3 A 48 4 6 B 0 8 6 4 A 6 4 2468 H D 4 2 6 4 2 4 68 EXT

You are the senior class president and are selling items for a school fundraiser You have cell phone cases and t shirts that have the school logo on them for sale Each case costs 12 and each t shirt costs 7 After selling a total of 60 items you have made a total of 450 How many cases and t shirts were sold 5 cases 55 t shirts 6 cases 54 t shirts 54 cases 6 t shirts 55 cases 5 t shirts

General Form y bx h k y intercept of the exponential Value of h shifts the y intercept Value of k shifts the y intercept Horizontal Asymptote or or

Part 2 Determine the location of any vertical asymptotes points of discontinuity and location of the y intercept for each graph below x a f x x 2 Vertical asymptote s Point s of discontinuity y intercept Vertical asymptote s b f x x 6x 8x 3x 9x 6 Point s of discontinuity y intercept

The table shows the number of weeks of vacation employees receive each year based on the number of years they have been employed What does 15 5 mean in terms of the problem Years of Service Weeks of Vacation 1 2 1 2 3 5 10 4 15 5 20 6 30 8 A A worker took 5 weeks of vacation in 15 years B A worker with 15 years of service gets 5 weeks of vacation each year C There are 5 workers who have 15 years of service each D A worker with 5 years of service gets 15 weeks of vacation each year

A diet is to contain at least 969 units of carbohydrates 1348 units of proteins and 1222 calories Two foods are available F which costs 0 06 per unit and which costs 0 08 per unit A unit of food F contains 1 units of carbohydrates 2 units of proteins and 8 calories A unit of food Fy contains 9 units of carbohydrates 8 units of proteins and 2 calories Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements Corner points of the feasible region If there is more than one corner point type the points separated by a comma i e 1 2 3 4 Minimum cost is 5 when F and F units units

1 5x 6x 1 662 4 52 1 2 SX 6 36 20x2 1042

2x 3 x 6x 5 r 5x 9 x 6x 5

Troy Juth wants to purchase new dive equipment for Underwater Connection his retail store in Colorado Springs He was offered a 81 000 loan at 7 5 for 36 months What is his monthly payment by table lookup Use Table 14 2 Note Round your answer to the nearest cent Monthly payment

First America Bank s monthly payment charge on a 48 month 20 000 loan is 538 26 The U S Bank s monthly payment fee is 547 70 for the same loan amount What would be the APR for an auto loan for each of these banks Use Table 14 1 Note Round your final answers to the nearest hundredth percent APR First America Bank between and U S Bank between and

If you are trying to build credit by using a credit card each time you make a purchase with the credit card deduct that amount from your checking account That way when your credit card bill is due you will have enough to pay the credit card off in full Kathy Lehner is going to start doing this She plans on paying her credit card bill in full this month How much does she owe with a 9 APR and the following transactions Note Round your answer to the nearest cent 31 day billing cycle 10 1 10 3 Previous balance 1 175 Credit 68 Credit 10 12 Charge King Soopers 159 10 15 Payment 420 Credit 10 25 Charge Delta 332 10 30 Charge Holiday Fun 72

Before purchasing a used car Cody Lind checked www kbb com to learn what he should offer for the used car he wanted to buy Then he conducted a carfax com search on the car he found to see if the car had ever been in an accident The Carfax was clean so he purchased the used car for 14 300 He put 1 200 down and financed the rest with a 48 month 8 5 loan What is his monthly car payment by table lookup Use Table 14 2 Note Do not round intermediate calculations Round your answer to the nearest cent Monthly payment

Dallas Pierce s most recent credit card statement follows Her finance charge is 15 APR Calculate Dallas s average daily balance finance charge and new balance Note Round your final answers to the nearest cent 30 day billing cycle 9 2 9 7 Billing date 1 020 Previous balance Payment 160 Credit 9 13 Charge Kohl s 330 9 17 Payment 230 Credit 9 28 Charge WalMart 70 Average daily balance Finance charge New balance I

Complete the following table Purchase price of product Landcruiser Down payment Amount financed Number of monthly payments Amount of monthly payments Total of monthly payments Total finance charge 64 900 48 000 64 428

The table of values represents a polynomial function f x 4 105 How much greater is the average rate of change over the interval 7 9 than the interval 4 6 5 384 Enter your answer in the box 6 945 7 1920

Which characteristic is correct for the function f x 2x 3x O both even and odd O even O neither even nor odd O odd