Questions

The least squares regression line for a set of data is calculated to be 23 2 0 17x One of the points in the data set is 5 22 Calculate the residual

a As dry air moves upward it expands and cools If the ground temperature is 40 C and the temperature at a height of 1 km is 30 C express the temperature T in C as a function of the height h in kilometers assuming that a linear model is appropriate b Draw the graph of the function in part a What does the slope represent c What is the temperature at a height of 1 5 km SOLUTION a Because we are assuming that T is a linear function of h we can write T mh b We are given that T 40 when h 0 so 40 m b In other words the y intercept is b We are also given that T 30 when h 1 so 30 m The slope of the line is therefore m 30 h TE b The graph is sketched in the figure The slope is m Select with respect to Select c At a height of h 1 5 km the temperature is T 1 5 40 C and the required linear function is C km and this represents the rate of change of

The widget production line is firing on all cylinders You may remember that widgets are the devices used to hold a razor blade when it is being used as a scraper Mr Widget has determined that the number of employees working on the assembly line and the number of widgets produced per hour have a linear relationship as follows Widgets 174 08 Employees 514 The given equation is applicable only when he has 25 or fewer employees After that they just get in each other s way and production goes down How many widgets does Mr Widget expect to produce with 15 employees on the assembly line Round your answer to the nearest integer widgets

Write a polynomial f x that satisfies the given conditions 9 Degree 3 polynomial with Integer coefficients with zeros 9i and 5 f x X 3

E Review for Test 2 Sections 16 to 2 4 Question 17 of 29 1 point Question Attempt 1 of Unlimited Refer to functions m and q Evaluate qm x and write the domain in Interval notation Write your answers as Integers or simplified fractions m x x 6 1 X 7 Part 0 2 Part 1 of 2 q m x q x 2 16 X

Write an equation that reflects the graph of x x2 x across the y axis Then graph both the equations he equation y x x across the y axis reflects the graph of

The U S Food and Drug Administration FDA require nutrition labeling on most foods The nutritional content for one cup of each of 21 different breakfast cereals was recorded Information recorded included calories sugar in grams and carbohydrates in grams The data was analyzed to produce the results below Regression equation Sugar 5 10 0 536 Carbohydrate 3 Correlation 0 544 1 point Raisin Bran has 29 grams of carbohydrates per cup What would be the predicted amount of sugar per cup for Raisin Bran type your answer grams

An equal tangent sag equal tangent vertical curve with a negative initial and a positive final grade is designed for 55 mi h The PVI is at station 240 00 and elevation 122 ft The PVT is a station 242 30 and elevation 127 75 ft What is the station and elevation of the lowest point on the curve

Multiple choice Choose only one answer Chemicals used to kill or inhibit growth on the skin are callec O antibiotics disinfectants sterilants antiseptice

Store Number of employees Super Mart has stores in four locations in State A Super Mart plans to reapportion its 29 managers based on the number of employees in each store as shown below Find the standard divisor and each store s standard quota MIL IN ALTO V A 75 B 91 C 136 The standard quota for store B is 4 81 Round to the nearest hundredth as needed D 247 The standard divisor is 18 93 Round to the nearest hundredth as needed b Find each store s standard quota using the standard divisor from part a The standard quota for store A is 3 96 Round to the nearest hundredth as needed The standard quota for store C is Round to the nearest hundredth as needed Total 549 1 of 5 Save

Multiple choice Choose only one answer If an organism is susceptible sensitive to a particular chemical then you should see a zone of inhibition around the paper disk saturated with that chemical O all of the choices are possible no zone of inhibition around the paper disk saturated with that chemical O bacterial growth on the paper disk

Purple graph Red graph Blue graph 10 8 6 2 0 2 6

Super Mart has stores in four locations in State A Super Mart plans to reapportion its 29 managers based on the number of employees in each store as shown below Find the standard divisor and each store s standard quota Store Number of employees A 75 B 91 C D 136 247 Total 549 a What is the standard divisor The standard divisor is 18 93 Round to the nearest hundredth as needed b Find each store s standard quota using the standard divisor from part a The standard quota for store A is 3 96 Round to the nearest hundredth as needed The standard quota for store B is Round to the nearest hundredth as needed

38 A Sin H X 14

2 16 16 54

Find equations for a the tangent plane and b the normal line at point Po 0 5 1 on the surface 7 cos x 4x y 5ex 6yz 42 a Using a coefficient of 5 for x the equation for the tangent plane is

Find a formula for the linear function depicted in the following graph 10 5 PHOT Enable Zoom Pan 5 x A

The angle of elevation to a flock of birds is 14 If the flock of birds is directly abov a point 17 meters away what is the height of the flock of birds The height of the flock of birds is answer to three decimal places meters Round your

At noon ship A is 30 nautical miles due west of ship B Ship A is sailing west at 20 Knots and ship B is sailing north at 25 knots How fast in knots is the distance between the ships changing at 7 PM Note 1 knot is a speed of 1 nautical mile p hour knots round your answer to three decimal places

A maintenance worker fills a swimming pool with water at a rate of 5 3 Suppose at t 0 the swimming pool is filled with 85 m of water How much water will be in the swimming pool at t 13 minutes m3 mo minute A function giving the volume V of water in the swimming pool after t minutes is V t 3 When will the swimming pool contain 235 m of water minutes

Suppose the height of an object is given by h t 8t 6t 6 meters t seconds aft an experiment begins How rapidly is the object moving 5 seconds after the experiment begins The object is moving at Writton Example Select an answer seconds meters seconds meter

cable with a length of 12 meters connects the ground and the top of a tower If the cable makes angle of 61 with the ground how high is the top of the tower meters high Round your answer The top of the tower is to three decimal places

A spherical snowball is melting in such a way that its radius is decreasing at rate of 0 4 cm min At what rate is the volume of the snowball decreasing when the radius i 11 cm Note the answer is a positive number The volume is decreasing by rounded to 3 decimal places cm3 min enter your answer

10 COB Scientific 11 12 13

A circle s radius is increasing at 0 4 feet minute How rapidly is its area increasing when the radius is 5 feet The circle s area is increasing at feet2 minute

Find the derivative d dr sin 4x 5

Which of the following molecules is an amino acid Select all that apply HO A H B H A B C HHH NNNN D OH Select 3 correct answer s C HH H H CH SH OH H H N C C CH CH CH D 0 E H H C OH H C OH H CIOH H

Figure 21 23 Bell jar model N 2 3

The type of connection indicated by the arrows is S S S S Des a peptide bond a disulfide bond a hydrogen bond a glycoside linkage a phosphodiester linkage

Person A leaves his home to visit his cousin person B who lives 150 miles away He travels at an average rate of 56 miles per hour One half hour later person B leaves he house to visit person A traveling at an average rate of 66 miles per hour How long aft person B leaves will it be before they meet It will take hour s for both people to meet after person B loaves

Consumer Animal Cell Model Q1 To where does carbon dioxide go Q2 In what way s can carbon dioxide get there Q3 To where does oxygen go Q4 In what way s can oxygen get there Q5 Where is glucose broken down in the cell Q6 How is glucose transported to different cells Q7 How do you know the answer to Q6 Q8 How is your answer to Q6 different than in plants Q9 Where in the cell does glucose end up Why Q10 How is homeostasis maintained in this organism using your answers above

Q1 To where does carbon dioxide go Q2 In what way s can carbon dioxide get there Q3 To where does oxygen go Q4 In what way s can oxygen get there Q5 Where is glucose made in the cell Q6 From which types of plant cells does glucose originate Q7 Which types of plant cells must receive glucose from other plant cells Q8 How do you know the answer to Q7 Q9 Where in the cell does glucose end up Why Q10 How do the two organelles mentioned in your answers maintain homeostasis in this organism Go to the next page to answer questions about your Animal Cell Model

The vertex of a parabola is at 5 7 If the point 4 6 is also on the parabola then of 6 y is also What is the value of y none of these choices 7 4

When completing the square you will need to undo a squared term at some point How is this accomplished divide both side by the square root it cannot be done Your answer is already simplified as much as possible squaring both sides subtract the number under the radical from both sides

What area in Europe is currently in the middle of ground war ational Boundary Rivet National Capital City or Towers 500 KM 2017 Gechoys s Atlantic 500 Miles IRELAND

Testosterone and estradiol are male and female sex hormones respectively in many vertebrates In which of the following ways do these molecules differ from each other OH OH HO CH3 CH3 CH3 They are enantiomers of the same organic molecule They are cis trans isomers but have the same molecular formula They are structural isomers but have the same molecular formula They have different functional groups attached to the same carbon skeleton

Which of the following functional groups is hydrophobic O amino hydroxyl methyl sulfhydryl

Question Inequality 1 y 2 The drama club is selling tickets to their play to raise money for the show s expenses Each student ticket sells for 4 and each adult ticket sells for The auditorium can hold no more than 100 people The drama club must make at least 560 from ticket sales to cover the show s costs If z reprez the number of student tickets sold and y represents the number of adult tickets sold write and solve a system of inequalities graphically and deter one possible solution Inequality 2 y 2 200 500 150 170 150 150 140 130 120 110 100 90 50 70 60 50 40 30 20 10 0 10 20 plot witch shade wwitch shade O Watch Video 100 110 120 130 140 150 0 0 80 y 200 Show Examp

List five vectors in Span V V2 Do not make a sketch V 9 2 V I 5 6 1 0

1 Solve the equation 3x 5 17 a x 6 C x 4 b x 10 d x 2

1 Solve the equation 3x 5 17 a x 6 c x 4 b x 1 d x 2

The function h x f 3x 4 is created from transformations of the function f x

Find the area of the region enclosed by the curves 2y 4 x y 4 and 2y 2x 6 HINT Sketch the region

a The graph of the linear function y 2x 4 is a b The graph of the linear function y 2x 4 is a horizontal line parabola c The graph of the linear function y 2x 4 is a d The graph of the linear function y 2x 4 is a cubic function straight line with a y intercept at 0 4 and a slope of 2

TT 3 21 3 TT 4T 3 5TT 3 5 2TT

Solve the equation 4y 7 5y 3 a y 3 c y 15 b y 0 d y 10

0 Find the slope of the line passing through the points 2 5 and 4 9 a The slope of the line passing through the points 2 5 and 4 9 is 9 5 4 2 4 2 2 c The slope of the line passing through the points 2 5 and 4 9 is 9 4 b The slope of the line passing through the points 2 5 and 4 9 is 5 2 d The slope of the line passing through the points 2 5 and 4 9 is 2 4

2 Find the value of y when x 2 in the equation y 2x 3 a 1 c y 2x 3 b y 2x 5 d y 2x 1

What is the slope of the line with the equation y 3x 2 a 0 c 1 b 3 d 5

Graph the linear function y 3x 2 a The graph of the linear function y 3x 2 is b The graph of the linear function y 3x 2 is a circle a straight line with a y intercept at 0 2 and a slope of 3 c The graph of the linear function y 3x 2 is d The graph of the linear function y 3x 2 is a hyperbola a parabola