Math - Others Questions

F 3 ft r 3 ft B d Prob 15 66 15 67 The three balls each weigh 0 5 lb and have a coefficient of restitution of e 0 85 If ball A is released from rest and strikes ball B and then ball B strikes ball C determine the velocity of each ball after the second collision has occurred The balls slide without friction B C

15 15 58 A ball having a mass of 200g is released from rest at a height of 400 mm above a very large fixed metal surface If the ball rebounds to a height of 325 mm above the surface determine the coefficient of restitution between the ball and the surface 15 59 The 5 Mg truck and 2 Mg car are traveling with the free rolling velocities shown just before they collide After the collision the car moves with a velocity of 15 km h to the right relative to the truck Determine the coefficient of restitution between the truck and car and the loss of energy due to the collision 30 km h 10 km h Prob 15 59 15 60 Disk A has a mass of 2 kg and is sliding forward on the smooth surface with a velocity A 5 m s when it disk R which is sliding towards A at 15 62 subje perfe befor The s 15 63 restit one a collisi reach of eac

You and a friend go to Tacos Galore for lunch You order 6 soft tacos and 2 burritos for a total of 17 85 Your friend s order costs 18 00 total They bought 3 soft tacos and 9 burritos Write a system of equations to represent this situation

2x 3y 11 x 3y 1 What is the solution x y to the given system of equations O 1 4 O 4 1 4 11 O 11 4

SENIOREN 2x 3y 11 1x 3y 1 What is the solution x y to the given system of equations O 1 4 O 4 1 4 11 O 11 4

4 3 pts 0 5 each Suppose you have a fair 4 sided die and three cards numbered 2 4 5 You roll the die and draw a card List the elements in a uniform sample space and compute the probabilities of the following events leave your answers in UNSIMPLIFIED form a The number on the card is bigger than the number on the die b The sum of the numbers is 6 c At least one of the numbers is 3 d The sun sum of the numbers is at most 4 e The product of the numbers is at least 10

For the same probability density function in problem 13 f x 600x 2 for 100 m x 120 m and zero for x elsewhere find the variance and the standard deviation of the probability density function Be sure to round your answer to three decimal places O Variance 123 186 St Dev 11 099 O Variance 13 681 St Dev 3 699 O Variance 23 245 St Dev 4 821 O Variance 33 186 St Dev 5 761

Which of the followings cannot be an example of discrete random variable Number of scratch a hood of a car Voltage Number of sodas sold at a fast food place Number of transmitted bits received in error O Scratches on a hood of a car Voltage ONumber of sodas

Determine the following probability P 10 x 19 0 4 0 3 O 0 1 X 9 0 4 P 0 x 19 0 7 P 0 x 29 0 8 P 0 X 39 0 9 P 0 x 49 1 01 Question 27 The probability density function of the weight of packages delivered by post office is f x for 1 x 70 pounds 3 pts 70 692

In manufacturing process involving several machines the average down time t in hours is giv by the probability density function f t 0 5e 0 5t for t 0 and f t 0 fort 0 find the probability that the average down time is 2 hours or more 0 368 1 06 O 0 06

Let P X15 0 3 and P 15 X 24 0 6 and P x 20 0 5 b Find the following probabilities Be sure to put your answers in order a a Find the P 24 b If P 18 X 24 0 4 find P X 18 Oa 0 9 and b 0 5 Oa 1 1 and b 0 87 O a 0 9 and b 0 7

Estimate each product Order the products from least to greatest 24 8 x 3 2 35 23 x 2 89 13 21 x 5 78 5 5 x 15 5 What strategies did you use Take It Further Use a geoboard and geoband if they help Reflect a Describe the pattern b Sketch the next 3 terms c Describe the 17th term and the 37th term Sketch them if you can 8 Assessment Focus Create two different number patterns Each pattern must contain the numbers 12 and 32 Describe each pattern in words Write the next 4 terms in each pattern 9 a Describe this pattern The pattern continues b How many squares would be in the 10th figure c What are the perimeters of the 4th figure and 5th figure d What is the perimeter of the 10th figure e How many squares are there in the figure with perimeter 72 f Could you make one of the figures using exactly 27 small squares Explain 10 Create two different number patterns that contain the numbers 16 20 and 25 Write the first 5 terms in each pattern number pattern

An incompressible fluid of kinematic viscosity v p 10 4 m s flows steadily through a circular pipe of diameter d 10 cm The pipe flow is fully developed a If the average velocity V is 2 m s is the flow laminar or turbulent What is the value of the friction factor f b If the pipe is perfectly smooth on its internal surface and V is 20 m s the pipe flow is turbulent double check yourself Evaluate its friction factor using the Moody chart below c Repeat c by numerically solving the Colebrook formula using for example Matlab Attach the source code you used d Suppose that the pipe internal surface is rough Also suppose that increasing V up to 200 m s yields no change in the value of f found in a Determine the relative roughness e d using the Colebrook formula Friction Factor 0 1 0 09 0 08 0 07 0 06 0 05 0 04 0 03 0 02 0 015 0 01 Laminar Flow 64 HE Re rrrr Material Concrete coarse Concrete new smooth Drawn tubing Glass Plastic Perspex Iron cast Sewers old Steel mortar lined Steel rusted Steel structural or forged 0 025 Water mains old 1 0 HHH 103 mm 0 25 0 025 0 0025 0 0025 0 15 3 0 0 1 0 5 104 Moody Diagram Transition Region Complete Turbulence Friction Factor 105 2d PV21 106 Reynolds Number Re pVd l Smooth Pipe 107 0 05 0 04 0 03 0 02 0 015 0 01 0 005 0 002 0 001 5x10 4 2x10 4 10 4 5x10 5 10 5 5x10 6 10 6 108 Relative Pipe Roughness

The Fashion Store has 12 000 available each month for advertising Newspaper ads cost 600 apiece and no more than 40 can be run per month Radio ads cost 300 each and no more than 50 can run per month TV ads cost 1800 a piece with a maximum of 6 available each month Approximately 3000 women will see each newspaper ad 1800 will hear each radio ad and 14 000 will see each TV ad How much of each type of advertising should be used if the store wants to maximize exposure How many newspaper ads should be placed www

Pro Weave manufactures stadium blankets by passing the products through a weaving department and then a sewing department The following information is available regarding its June inventories Raw materials inventory Work in process inventory Weaving Work in process inventory Sewing Finished goods inventory Direct Weaving Direct Sewing Indirect The following additional information describes the company s manufacturing activities for June Raw materials purchases on credit Other actual overhead cost paid in cash Materials used Labor used Direct Weaving Direct Sewing Beginning Inventory 172 000 440 000 620 000 1 396 000 Indirect Overhead rates as a percent of direct labor Weaving Sewing Sales on credit 615 000 186 000 318 000 84 000 166 000 1 275 000 520 000 1 700 000 85 160 Ending Inventory 261 000 480 000 860 000 1 386 000 5 350 000 20 to record a raw materials purchases b direct materials used c indirect materials used d Che

8 Part 1 of 2 B points eBook Hint Print References 1 Compactou un Required information Unit Reconciliation Units to account for CAGNOLULLOU VUL Prepare the Molding department s production cost report using the weighted average method Note Round Cost per EUP to 2 decimal places Total units to account for Units accounted for Total units accounted for Equivalent Units of Production EUP 11 Units Direct Materials Complete EUP Conversion Complete EUP Chec

If you re eighteen you re eligible to vote But you re only seventeen You re not eligible to vote What is this argument Valid Invalid Strong Weak

3 Part 2 of 2 3 points TOTAL 10 Beginning work in process inventory Started and completed Ending work in process inventory Total Required information 2 Beginning inventory is 40 complete as to direct materials costs Ending inventory is 80 complete as to direct materials costs Beginning work in process inventory Started and completed Ending work in process inventory Total TUO ARRI O Units 36 000 54 000 18 000 108 000 et for the work you have completed so far It does not indicate completion Units 36 000 54 000 18 000 108 000 Direct Materials Percent Added 0 X 100 80 3 Beginning Inventory is 70 complete as to direct materials costs Ending inventory is 20 complete as to direct materials costs Direct Materials Percent Added IZARRI EUP 0 X 100 20 54 000 14 400 68 400 EUP 0x 0x 54 000 Return to question

If I perceive what appears to be a red door then there really is a red door there There really is a red door there Therefore perceive what appears to be a red door What is this argument Valid Invalid strong Weak

Use the method of this section to solve the linear programming problem Minimize C x 2y subject to 4x 7y 48 2x y 20 x 0 y 0 The minimum is C 0 xat x y 0 0 X

ange each number to polar form and then divide Express the result in polar form and rectangular form Check your answer by dividing the original numbers in rectangular form 2 4j 5 4j TUB he quotient in polar form is cos jsin Simplify your answers Round to one decimal place as needed Type any angle measures in degrees Use angle measures greater than or equal to 0 and less than 360 The quotient in rectangular form is Simplify your answer Use the answer from the previous step to find this answer Use integers or decimals rounded to one decimal place for any numbers in the expression Type your answer in tr Check your answer by dividing the original numbers in rectangular form 2 4j 5 4j Simplify your answer Use integers or decimals rounded to one decimal place for any numbers in the expression Type your answer in the form a bj

Find the accumulated amount after 2 years if 3000 is invested at 5 year compounded continuously Round your answer to the nearest cent 3450 X What formula should you use to calculate the accumulated amount for the given account whose interest is compounded continuously Click the E need

Vertical Curves Given g 3 82 2 L 500 VPI Station of 100 00 Calculate the PC Stationing 100 00 47 95 9 00 97 50

A small publishing company is planning to publish a new book The production costs will include one time fixed costs such as editing and variable costs such as printing The one time fixed costs will total 69 936 The variable costs will be 9 25 per book The publisher will sell the finished product to bookstores at a price of 24 75 per book How many books must the publisher produce and sell so that the production costs will equal the money from sales books

7 points Vertical Curves Given 8 3 82 2 L 500 VPI Station of 100 00 Calculate the PT Stationing 100 00 102 50 54 65 90 50

Solve the given equation 0 7 8x The solution s is are x Round to three decimal places as needed Use a comma to separate answers as needed

ange the following number to polar form and then perform the operation Express the result in polar form and rectangular form Check your result by taking the power of the original number in rectang 3 2j Write the complex number to the power in polar form 3 21 3 cos j sin Simplify your answers Round to two decimal places as needed Type any angle measures in degrees Use angle measures greater than or equal to 0 and less than 360 Convert the expression in polar form to rectangular form Use the answer from the previous part to find this answer Simplify your answer Type your answer in the form a bj Round to the nearest integer as needed Check your answer by taking the power of the rectangular form 3 2j Simplify your answer Type your answer in the form a bj

Express the following number in exponential form 2 5j What is the exponential form of the given number Use integers or decimals rounded to the nearest hundredth for any numbers in the expression as needed Express complex numbers in terms of j The argument should be between C

Using DeMoivre s theorem find 1 2 1 21 cos j sin Simplify your answers Round to two decimal places as needed Type any angle measures in degrees Use angle measures greater than or equal to 0

ermine the value of the unknown 5 log 3125 A 5 1 10 mplify your answer

The voltage across a certain inductor is V 18 91 30 0 50 0 135 0 80 0 150 0 Simplify this expression and find the magnitude of the voltage The magnitude of Vis Type an integer or a decimal rounded to two decimal places as needed CIB 80 0 150 0 Simplify your answer Type integers or decimals rounded to two decimal places as needed Use angle measures greater than or equal to 0 and less than 360

y log 3 X Choose the correct graph below OA OB Q O C Ay

Add the numbers below Express the result in polar form 2 47 32 09 1 61 212 59 What is the sum Simplify your answers Round to one decimal place as needed Use angle measures greater than or equal to 0 and less than 36

Express the following as a sum difference or multiple of logarithms log 5 3 a log 5 3

Perform the indicated multiplication and express the results in polar and rectangular forms 57 7e 99 7 3e 671 What is the polar form of the given number Use integers or decimals rounded to the nearest hundredth for any numbers in the expression as needed Express complex numbers in terms of j Do not display the degree symbol in measures greater than or equal to 0 and less than 360 What is the rectangular form of the given number Use integers or decimals rounded to the nearest hundredth for any numbers in the expression as needed Express complex numbers in terms of j

aph the equation on paper and then choose the correct graph 0 4 5 x Choose the correct graph on the right O A O C Q Q OB OD

orm the indicated operation Leave the result in polar form 50 214 4 12 175 37 SCELE 0 214 4 12 175 37 mplify your answers Type integers or decimals rounded to two decimal places as needed Type your answer in degrees Use angle measures greater than or equal to 0

1 point Determine whether the following statements are true or false 1 32 R such that Vy R zy 1 2 V Q Z such that n Z 3 Vr y R ne Z such that na y 4 V R Jy R such that ay 1 5 VxZ By R such that y 6 R such that Vy ER y 0

Express the given complex number in polar and rectangular forms 90 0e 70j What is the polar form of the given number CLE Use integers or decimals for any numbers in the expression Round to one decimal place as needed Type your answer in degrees Use angle measures greater than or equal What is the rectangular form of the given number Use integers or decimals for any numbers in the expression Round to two decimal places as needed

The Mach number M of an airplane is the ratio of its speed to the speed of sound When an airplane travels faster than the speed of sound the sound waves form a cone behind the airplane see figure The Mach number is related to the apex angle 8 of the cone by sir a Find the angle that corresponds to a Mach number of 1 0 X b Find the angle that corresponds to a Mach number of 2 5 Round your answer to four decimal places 8 radians c The speed of sound is about 760 miles per hour Determine the speed of an object having the Mach numbers in parts a and b Mach number of 1 760 mph 1900 Mach number of 2 5 mph d Rewrite the equation as a trigonometric function of 0

Use the drawing took s to form the correct answer on the provided graph Dilate the line segment by a scale factor of 2 with a center of dilation at the origin Draw the dilated segment on the provided graph Drawing Tools Select Point Line Segment Click on a tool to begin drawing Resel 2 16 12 10 8 CO 8 2 2 4 40 6 3 Delete 10 12 Undo 14 16

Question 6 A farm has a population of 100 alpacas in the year 2016 Farmers are concerned because the alpaca population is decreasing at the rate of 5 per year If the population continues to decrease at this rate how long will it take until the population is only 30 alpacas 15 p

3 a Fi 2 cos x sin x 1

3 tan 1 0

ANSWER c 6 cos 5x 1 4 7

How many ways can a teacher select a group of 6 students to sit in the front row if the class has 14 students Your answer

Phyllis teaches marketing at a local college She wants to select one freshman and one sophomore to attend a conference If she teaches 11 freshman and 9 sophomores how many combinations of students could be selected Your answer is

Penny has 7 books she wants to read If she randomly chooses one to read at a time in how many different sequences could she read all the books Your answer is

A quality control inspector randomly selects 6 calculators to inspect from 21 calculators How many ways could the inspector select

Tristan tried his luck with the lottery He can win 75 if he can correctly choose the 3 numbers drawn If order doesn t matter and there are 12 numbers in the drawing how many different ways could the winning numbers be drawn