Questions

Find the volume of the prism www cs OA 210 units OB 168 units 3 OC 168 units C D 210 units3 8 7 10 6

What is the volume of the cylinder below A 64 units OB 1024 units OC 128 units OD 256 units 8

EListen water Please list the 4 life supporting properties of explain the big ignificance of each of these properties

Please list and briefly explain the two main processes of an ecosystem

Which of the following factors have led to the rise in health care costs

This reading is brief but it is certainly dense Summarize Robinson s main points in two full paragraphs What are her main ideas How would you describe this piece to a friend This discussion board will contain three paragraphs the next is your response I d like for you to take what Robinson has written about the sacred and compare it to your experiences and ideas What do you believe that is similar or different Complete these three paragraphs in a post of approximately 500 words Note again that this post is a little longer than the one you completed the first week Read another classmate s post and see if he or she came up with the same primary points of Robinson s argument Write to that student about ways your summaries were similar or different Then respond to what they wrote about comparing Robinson s ideas to their own Your response should be approximately 200 words Note that the post requirement is about 50 words longer than previous posts You re practicing your writing skills and helping someone else flesh out their ideas for the next essay This discussion board mimics the set up of your first essay assignment which was posted last week and is available in this module as well Your first post is due by Thursday at 9pm and your response is due by Saturday at 9pm

What is the volume of the cylinder below OA 288 units OB 432 units O C 324 units O D 216 units 9 6 8

2 38 A truck traveling at 75 mi h has a braking efficiency of 70 The coefficient of road adhesion is 0 80 Ignoring aerodynamic resistance determine the theoretical stopping distance on a level grade a 340 9 ft 180 6 ft b c d 425 6 ft 338 6 ft

What is the volume of the cube below O A 9h OB 9h O C 6h D 3h h 3 3

On the following graph AD represents the initial aggregate demand curve in a hypothetical economy and SRAS represents the initial aggregate supply curve The economy s natural real GDP is 12 billion PRICE LEVEL 304 900 NRGOP AD O AD ADA AD 12 REAL GOP ons of dan The initial short run equilibrium level of real GDP is 21 100 103 104 SRAS Suppose the government seeking full employment borrows money and increases its expenditures by the amount it believes necessary to close the output gap According to critics of Keynesian fiscal policy which curve in the previous graph will most likely be the new aggregate demand curve 1 10 billion 14 billion 12 billion 2 and the initial short run equilibrium price level is

0 38 Af 20 p 0 002378 slugs ft is driven on a surface with a coefficient of adhesion of 0 5 and the coefficient of rolling friction is approximated as 0 015 for all speeds Assuming minimum theoretical stopping distances if the vehicle comes to a stop 260 ft after brake application on a level surface and has a braking efficiency of 0 82 what was its initial speed a if aerodynamic resistance is considered and b if aerodynamic resistance is ignored 500 16

S 2 5 A 3000 lb car has a maximum speed at sea level and on a level paved surface of 140 mi h with 16 inch radius wheels a gear reduction of 3 5 to 1 and a drivetrain efficiency of 92 It is known that at the car s top speed the engine is producing 220 ft lb of torque If the car s frontal area is 25 ft what is its drag coefficient

2 7 A 3400 lb car is traveling in third gear overall gear reduction ratio of 2 5 to 1 on a level road at its top speed of 130 mi h The air density is 0 00206 slugs ft The car has a frontal area of 19 8 ft a drag coefficient of 0 28 a wheel radius of 12 6 inches a drive axle slippage of 3 and a drivetrain efficiency of 88 At this vehicle speed what torque is the engine producing and what is the engine speed in revolutions per minute

Cavalieri s principle states that two solids with equal heights and cross sectional volumes at every level have equal areas OA True O B False

2 4 A 2650 lb car is traveling at sea level at a constant speed Its engine is running at 4500 rev min and is producing 175 ft lb of torque It has a drivetrain efficiency of 90 a drive axle slippage of 2 15 inch radius wheels and an overall gear reduction ratio of 3 to 1 If the car s frontal area is 21 5 ft what is its drag coefficient S

The volume of a cylinder is the base B times the length of its height h Which of the following is the formula for the volume of a cylinder A V Bh OB V 2BW O C V Bh D V Bh

What is the volume of the cylinder below A 968 units OB 352 units OC 1815 units OD 204 units 11 15

What is the volume of the regular pyramid below 5 C 5 OD 96 units3 OA 75 units OB 225 units O C 135 units

Find the volume of the pyramid below 13 10 12 10 A 1300 units3 OB 433 units OC 1200 units OD 400 units3

What is the volume of the cone below 22 6 OA 792 units OB 132 units C 264 units3 OD 396 units

What is the volume of the regular pyramid below 81 O A 270 units OB 2700 units O C 810 units 10 10 OD 8100 units

Which solid has a greater volume 8 3 6 D It cannot be determined A Figure A has a greater volume B Figure B has a greater volume C They are equal

Find the volume of the cone shown below 12 00 50 15 A 972 units B 324 units3 C 972 units3 D 324 units3

Determine the convergence or divergence of the sequence with the given nth term If the sequence converges find its limit Limit equal O Converges Limit equal 3 2 Converges Diverges None of the above an In n 2n

What is the volume of the cone below 84 11 OA 924 units OB 10 164 units OC 5082 units OD 3388 units

f xxx x y for 2 x 6 02 y 24 Solve P x 2 2 X and

f x x x y for 22x26 02 y 24 Find Marginal distribution and probability X of

Given a right pyramid with base area B and height h what does Bh represent OA Cross sectional volume OB Cross sectional area OC Surface area D Volume

Given a right cone with base area B and height h what is the formula for the volume A V Bh B B V Bh OC V Bh D V Bh

f x x x y for 22x26 02424 Solve Cor x y and

f x y x y for 22x26 02 y 24 P X 1 an

A ball is projected upward from the ground Its distance in feet from the ground in t seconds is given by s t 16t 126t At what times will the ball be 223 feet from the ground

23 The perimeter of the trapezoid below is 54 What is its area 12 18 14

nd the solution set of each linear system Identify inconsistent systems and dependent equation x 3y z 20 x 4y z 18 x 3y 4z 19

2 Yellowstone and Hawaiian Hotspots Slides 3 and 4 show the path and approximate times of the Yellowstone and Hawaiian hotspot traces a Calculate approximately how fast each of the plates overlying these hotspots are moving in mm year b The Hawaiian hotspot has erupted continuously for hundreds of millions of years According to the map how many calderas have formed from the Yellowstone hotspot the last 17 million years this number is close to the number of eruptions Each yellow circle and age is a different caldera c The Hawaiian hotspot occurs on the Pacific Plate and produces mostly effusive mafic eruptions almost continuously The Yellowstone hotspot occurs on the North American Plate and produces very very very large explosive felsic to intermediate eruptions every few million years The source of the mantle plumes that feed each hotspot is similar both seem to originate at or near the core mantle boundary and will be compositionally the same as it reaches the bottom of the crust Most Hawaiian eruptions are VEI 0 1 Volcanic Explosivity Index the most recent Yellowstone eruptions was VEI 8 The volume of material produced by each hotspot is the same over time but obviously the timing and size of each is very different Talk to your group and come up with a few ideas of why these hotspots produce such different results Hint Think about how their locations are different but also about temperature of magma formation explosive large moderate small on ery large VEI 0 8 Erupted tephra volume 0 0001 km 0 001 km 0 01 km 0 1 km 1 km 10 km 100 km 1 000 km O O Examples Mount St Helens October 1 2004 Mount St Helens December 7 1989 Mount St Helens June 12 1980 Merapi Indonesia 2010 Mount Helens May 18 1980 Pinatubo 1991 Krakatau 1883 Tambora 1815 Mazama 7700 years ago Long Valley Caldera CA 760 000 years ago Yellowstone Caldera 600 000 years ag

Determine the value of c such that the function f x y cx y for 2 x 6 and 0 y 4 satisfies the properties of a joint probability density function Determine the following a Marginal probability distribution of X b P Y 1 c P X 2 Y 2 d P 2 5 X 4 5 Y 3 e E X f Var Y g Cov X Y h Cor X Y i Are X and Y independent Why or why not

A conical tank contains seawater to a height of 2 ft The tank measures 12 ft high and 5 ft in radius Find the work needed to pump all the water to a level 2 ft above the rim of the tank lb The specific weight of seawater is 64 ft3 Approximate the answer to three decimal figures

Consider the following planes 5x y z 5 15x 3y 5z 25 e Find the engle in degrees between the two planes Round your answer to two decimal places 45 25 X b Find a set of parametric equations for the line of intersection of the planes Use t for the parameter Enter your answers as a comma separated list of equ x y 5 5z 5

Jerome s credit card has an APR of 18 calculate balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 Previous balance 0 00 2200 00 2189 00 2178 06 2167 16 2156 33 2145 55 New charges 2200 00 OA 65 18 OB 260 72 C 32 18 OD 195 54 0 00 0 00 0 00 0 00 0 00 0 00 Payment received 0 00 44 00 43 78 43 56 43 34 43 13 42 91 Finance charges 0 00 33 00 32 84 32 67 32 51 32 34 32 18 Principal paid 0 00 11 00 10 95 10 89 10 84 10 78 10 73 New balance 2200 00 2189 00 2178 06 2167 16 2156 33 2145 55 2134 82 What is the total amount that Jerome has paid in interest over the 7 months

35 Velocity Use the results of Problem 33 to find the horizontal distance travelec by the bullet in 3 seconds Neglect the resistance of air on the bullet

me s credit card has an APR of 18 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 Previous balance 0 00 2200 00 2189 00 2178 06 2167 16 2156 33 2145 55 New charges 2200 00 A 65 18 OB 260 72 C 32 18 D 195 54 0 00 0 00 0 00 0 00 0 00 0 00 Payment received 0 00 44 00 43 78 43 56 43 34 43 13 42 91 Finance charges 0 00 33 00 32 84 32 67 32 51 32 34 32 18 Principal paid 0 00 11 00 10 95 10 89 10 84 10 78 10 73 New balance 2200 00 2189 00 2178 06 2167 16 2156 33 2145 55 2134 82 What is the total amount that Jerome has paid in interest over the 7 months

For each problem below the magnitude of the horizontal and vertical components of vector V are given In each case find the magnitude of V 27 V 30 Vyl 40 29 Vx 35 0 Vyl 26 0 31 V 4 5 V 3 8 28 V 8 V 6 30 V 45 0 V 15 0 32 Vx 2 2 V 5 8 33 Velocity A bullet is fired into the air with an initial velocity of 1 200 feet per second at an angle of 45 from the horizontal Find the magnitude of the horizontal and vertical components of the velocity vector 34 Velocity A bullet is fired into the air with an initial velocity of 1 800 feet per second at an angle of 60 from the horizontal Find the horizontal and vertical components of the velocity 35 Velocity Use the results of Problem 33 to find the horizontal distance traveled by the bullet in 3 seconds Neglect the resistance of air on the bullet 36 Velocity Use the results of Problem 34 to find the horizontal distance traveled by the bullet in 2 seconds 37 Velocity An arrow is shot into the air so that its horizontal velocity is 35 0 feet per second and its vertical velocity is 15 0 feet per second Find the velocity of the arrow 38 Velocity The horizontal and vertical components of the velocity of an arrow shot into the air are 15 0 feet per second and 25 0 feet per second respectively Find the velocity of the arrow 39 Bearing A ship travels for 135 kilometers on a course with bearing 138 How far east and how far south has it traveled 40 Bearing A plane flies for 3 hours at 230 kilometers per hour on a course with bearing 215 How far west and how far south does it travel in the 3 hours 41 Bearing A plane travels for 175 miles on a course with bearing 18 and then changes its course to 49 and travels another 120 miles Find the total distance traveled north and the total distance traveled east

One leg of a right triangle is 2 millimeters longer than the shorter leg and the hypotenuse is 4 millimeters longer than the shorter leg Find the lengths of the sides of the triangle The length of the shorter leg is The length of the longer leg is The length of the hypotenuse is millimeters cubic millimeters square millimeters

You are playing a game where you must roll two 4 sided dice each die can yield a value of 1 2 3 or 4 The goal is to obtain a score of at least 6 You initially roll both dice and are allowed to reroll one of them the other die value must be kept For example if you roll the dice and obtain the results of 1 and 3 you will want to reroll the die with a value of 1 to try to get a higher value You do not need to roll again if your initial roll obtains a combined score of at least 6 Find the following a The probability that you succeed without needing to reroll the dice the odds that the values sum to at least 6 when you first roll both dice b In what scenario would you be unable to succeed after your first roll think what values must be present on both dice in which rerolling one of them will never allow them to sum to at least 6 What is the likelihood of this c You discover that one of the die is rigged and will always roll a 2 Given this information what is the chance of each of the following i You succeed in any given turn your chance to obtain a total score of 6 or greater given the initial rules ii After 5 tries you succeed at least 3 times iii You succeed exactly 5 times after 7 tries

Tammy got a new credit card with an APR of 21 a month ago and she just got her first credit card statement She charged a bracelet for 17 a purse for 36 and some sunglasses for 11 If her credit card charges interest on the previous monthly balance how much should Tammy pay now so that she doesn t have any interest charged to her on next month s statement A 64 OB 17 O C 11 OD 36

The length of a rectangle is 19 centimeters less than five times its width Its area is 30 square centimeters Find the dimensions of the rectangle The width is and the length is

The product of two consecutive room numbers is 306 Find the room numbers The number of the first room or the smaller room number is x 1

Part 4 Write a real world situation for each expression below be creative A b 12

has an APR of 19 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 5 Previous balance 0 00 2400 00 2390 00 2380 04 2370 12 2360 25 2350 41 New charges 2400 00 OA 285 02 OB 47 01 C 59 38 OD 225 64 0 00 0 00 0 00 0 00 0 00 0 00 Payment received 0 00 48 00 47 80 47 60 47 40 47 20 47 01 Finance charges 0 00 38 00 37 84 37 68 37 53 37 37 37 21 Principal paid 0 00 10 00 9 96 9 92 9 88 9 83 9 79 New balance 2400 00 2390 00 2380 04 2370 12 2360 25 2350 41 2340 62 What is the total amount that Benjamin has made in payments over the 7 months

ou have noticed some variation in the amount of rice provided in your usual order of General so s Chicken You ask the store manager about this issue and they confirm that the reparation of your order isn t directly measured In each order you are supposed to be given cup of rice which should be 250 grams if measured exactly Based on data provided by the manager you find that the true amount of rice given follows a normal distribution with an verage of 252 grams and a standard deviation of 1 5 grams Given this information a How often will you receive less rice than you pay for less than 250 grams b If your rice container can only fit 256 grams how often will it overflow when your cook is filling it c If both these situations are considered as errors how many errors should you expect after ordering 10 times