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A Laundry Problem: You need 34 cup of laundry detergent to wash 1 full load of laundry. How many loads of laundry can you wash with 5 cups of laundry detergent? (Assume that you can wash fractional loads of laundry.) Solve the laundry problem with the aid of a math drawing, a table, or a double number line. Explain your reasoning. 6 2/3 loads.

If you give a child in kindergarten or first grade a bunch of beads or other small objects and ask the child to show you what the 3 in 35 stands for, the child might show you 3 of the beads. You might be tempted to respond that the 3 really stands for “thirty” and not 3. Of course it’s true that the 3 does stand for thirty, but is there a better way you could respond, so as to draw attention to the base-ten system? How could you organize the beads to make your point?

For each of the following pairs of numbers, find a decimal between the two numbers, and plot all three numbers visibly and distinctly on a number line like the one in Figure 1.54. Label all the longer tick marks. Your labeling of the tick marks should fit with the structure of the base-ten system. The numbers 2.981 and 2.982 The numbers 13 and 12.9999 The numbers 13 and 13.0001

Use the moving and additivity principles to determine the area, in square inches, of the shaded flower design in Figure 12.18 El. In determining the area of the shape, use no formulas other than the one for areas of rectangles. Explain your reasoning clearly. Figure12.18 A flower design

A company mixes different amounts of grape and peach juice, but always in the ratio 3 to 5. a. Explain how to reason with a value of the ratio to determine how much peach juice the company should mix with the following amounts of grape juice: 100 liters; 140 liters; G liters. b. Explain how to reason with a value of the ratio in another way to determine how much peach juice the company should mix with the amounts of grape juice in part (a). c. Explain how to reason with a value of the ratio to determine how much grape juice the company should mix with the following amounts of peach juice: 72 liters; 84 liters; P liters. d. Explain how to reason with a value of the ratio in another way to determine how much grape juice the company should mix with the amounts of peach juice in part (c).

Car Class Write a class named Car that has the following data attributes: _ _year_model (for the car's year model) _ _ make (for the make of the car) _ _speed (for the car's current speed) The Car class should have an _ _init_ _ method that accepts the car's year model and make as arguments. These values should be assigned to the object's _ _year_model and _ _make data attributes. It should also assign 0 to the _ _speed data attribute. The class should also have the following methods: accelerate The accelerate method should add 5 to the speed data attribute each time it is called. brake The brake method should subtract 5 from the speed data attribute each time it is called. get_speed The get_speed method should return the current speed. Next, design a program that creates a Car object then calls the accelerate method five times. After each call to the accelerate method. get the current speed of the car and display it. Than call the brake method five times. After each call to the brake method, get the current speed of the car and display it.

Personal Web Page Generator Write a program that asks the user for his or her name, then asks the user to enter a sentence that describes himself or herself. Here is an example of the programs screen: Enter your name: Julie Taylor Describe yourself: I am a computer science major, a member of the Jazz club, and I hope to work as a mobile app developer after I graduate. Once the user has entered the requested input, the program should create an HTML file, containing the input, for a simple Web page. Here is an example of the HTML content, using the sample input previously shown: html head /head body center hlJulie Taylor/hl /center hr / I am a computer science major, a member of the Jazz club, and I hope to work as a mobile app developer after I graduate. hr / /body /html

Average Steps Taken A Personal Fitness Tracker is a wearable device that tracks your physical activity, calories burned, heart rate, sleeping patterns, and so on. One common physical activity that most of these devices track is the number of steps you take each day. If you have downloaded this books source code from the Computer Science Portal, you will find a file named steps.txt in the Chapter 06 folder. (The Computer Science Portal can be found at www.pearsonhlghered.com/gaddls.) The steps.txt file contains the number of steps a person has taken each day for a year. There are 365 lines in the file, and each line contains the number of steps taken during a day. (The first line is the number of steps taken on January 1st, the second line is the number of steps taken on January 2nd, and so forth.) Write a program that reads the file, then displays the average number of steps taken for each month (The data is from a year that was not a leap year, so February has 28 days.)

Pet Class The Pet class Write a class named Pet, which should have the following data attributes: _ _ name (for the name of a pet) _ _ animal_type (for the type of animal that a pet is. Example values are 'Dog', 'Cat', and 'Bird) _ _ age (for the pets age) The Pet class should have an _ _init_ _ method that creates these attributes. It should also have the following methods: set_name This method assigns a value to the _ _name field. set_animal_type This method assigns a value to the _ _animal_type field. set_age This method assigns a value to the _ _age field. get_name This method returns the value of the _ _name field. get_animal_type This method returns the value of the _ _animal_type field. get_age This method returns the value of the _ _age field. Once you have written the class, write a program that creates an object of the class and prompts the user to enter the name, type, and age of his or her pet. This data should be stored as the objects attributes. Use the object's accessor methods to retrieve the pets name, type, and age and display this data on the screen.

Distance Traveled The distance a vehicle travels can be calculated as follows: distance = speed x time For example, if a train travels 40 miles per hour for three hours, the distance traveled is 120 miles. Write a program that asks the user for the speed of a vehicle (in miles per hour) and the number of hours it has traveled. It should then use a loop to display the distance the vehicle has traveled for each hour of that time period. Here is an example of the desired output: What is the speed of the vehicle in mph? 40 Enter How many hours has it travelled? 3 Enter Hour Distance Traveled 1 40 2 80 3 120

Using Figure 3.2, measure the distance from Point A located off the Carolina coast to Point B off the African coast. Determine the distance in kilometers and then convert that distance into centimeters. Distance: ______km Distance: ______cm

Use Figure 2.16 to identify the environments A- L where the sediment for the following sedimentary rocks could have been deposited. Rock gypsum Conglomerate Sandstone Shale Bituminous coal Travertine

Calculate the elevation of the water table at each well location and write the approximate elevation on the line next to each well. Next, use a colored pencil to draw smooth 10-foot contours that show the shape of the water table. Start with the 1160-foot contour. Use a pencil of a different color to draw arrows on the map to indicate the direction of the slope of the water table. a. Toward which direction downward does the water table slope? b. Referring to the site of the proposed water well, at approximately what depth below the surface should the proposed well intersect the water table?

What evidence supports the conclusion that the igneous intrusion labeled sill B is more recent than the rock layers on either side A and C?

What are the small "hills' covered in vegetation in the foreground of this image? Hint See Figure 5.5

Determine the number of vectors (x1,...,xn), such that each x1 is either 0 or 1 andi=1nxiK

a. How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers? b. Repeat part (a) under the assumption that no letter or number can be repeated in a single license plate.

A deck of n cards numbered 1 through n are to be turned over one a time. Before each card is shown you are to guess which card it will be. After making your guess, you are told whether or not your guess is correct but not which card was turned over. It turns out that the strategy that maximizes the expected number of correct guesses fixes a permutation of the n cards, say 1, 2,. . ., n, and then continually guesses 1 until it is correct, then continually guesses 2 until either it is correct or all cards have been turned over, and then continuality guesses 3, and so on. Let G denote the number of correct guesses yielded by this strategy. Determine P(G=k) Hint: In order for C to be at least k what must be the order of cards 1,…,k.

In a certain contest, the players are of equal skill and the probability is 12 that a specified one of the two contestants will be the victor, in a group of 2n players, the players are paired off against each other at random. The 2n1 winners are again paired off randomly, and so on, until a single winner remains. Consider two specified contestant, A and B, and define the events Ai,in,E by Ai: A plays in exactly i contests E: A and B never play each other Find P(Ai),i=1,...,n. Find P(E). Let Pn=P(E). Show that Pn=12n1+2n+22n1(12)2Pn1 are use this formula to check the answer you obtained in part (b). Hint: Find P(E) by conditioning on which of the events P(Ai),i=1,...,n occur. In simplifying your answer, use the algebraic identity i=1n1ixi1=1nxn1+(n1)xn(1x)2 For another approach to solving this problem, note that there are a total of 2n1 games played. Explain why 2n1 games are played. Number these games, and let Bi denote event that A and B play each other in game i,i=1,...,2n1. What is P(Bi). Use part (e) to find P(E).

For any sequence of events E1,E2,..., define a new sequence F1,F2,... of disjoint events (that is. events such that FiFj= whenever ij ) such that for all n1, 1nFi=1nEi

SavingsAccount Class Design a SavingsAccount class that stores a savings accounts annual interest rate and balance. The class constructor should accept the amount of the savings accounts starting balance. The class should also have methods for subtracting the amount of a withdrawal, adding the amount of a deposit, and adding the amount of monthly interest to the balance. The monthly interest rate is the annual interest rate divided by twelve. To add the monthly interest to the balance, multiply the monthly interest rate by the balance, and add the result to the balance. Test the class in a program that calculates the balance of a savings account at the end of a period of time. It should ask the user for the annual interest rate, the starting balance, and the number of months that have passed since the account was established. A loop should then iterate once for every month, performing the following: a. Ask the user for the amount deposited into the account during the month. Use the class method to add this amount to the account balance. b. Ask the user for the amount withdrawn from the account during the month. Use the class method to subtract this amount from the account balance. c. Use the class method to calculate the monthly interest. After the last iteration, the program should display the ending balance, the total amount of deposits, the total amount of withdrawals, and the total interest earned.

Deposit and Withdrawal Files Use Notepad or another text editor to create a text file named Deposits.txt. The file should contain the following numbers, one per line: 100.00 124.00 78.92 37.55 Next, create a text file named Withdrawals.txt. The file should contain the following numbers, one per line: 29.88 110.00 27.52 50.00 12.90 The numbers in the Deposits.txt file are the amounts of deposits that were made to a savings account during the month, and the numbers in the Withdrawals.txt file are the amounts of withdrawals that were made during the month. Write a program that creates an instance of the SavingsAccount class that you wrote in Programming Challenge 12. The starting balance for the object is 500.00. The program should read the values from the Deposits.txt file and use the objects method to add them to the account balance. The program should read the values from the Withdrawals.txt file and use the objects method to subtract them from the account balance. The program should call the class method to calculate the monthly interest, and then display the ending balance and the total interest earned.

Retail Price Calculator Write a program that asks the user to enter an items wholesale cost and its markup percentage. It should then display the items retail price. For example: If an items wholesale cost is 5.00 and its markup percentage is 100 percent, then the items retail price is 10.00. If an items wholesale cost is 5.00 and its markup percentage is 50 percent, then the items retail price is 7.50. The program should have a method named calculateRetail that receives the wholesale cost and the markup percentage as arguments, and returns the retail price of the item.

Rectangle AreaComplete the Program If you have downloaded the books source code from www.pearsonhighered.com/gaddis, you will find a partially written program named AreaRectangle.java in this chapters source code folder. Your job is to complete the program. When it is complete, the program will ask the user to enter the width and length of a rectangle, and then display the rectangles area. The program calls the following methods, which have not been written: getLengthThis method should ask the user to enter the rectangles length, and then return that value as a double. getWidthThis method should ask the user to enter the rectangles width, and then return that value as a double. getAreaThis method should accept the rectangles length and width as arguments, and return the rectangles area. The area is calculated by multiplying the length by the width. displayDataThis method should accept the rectangles length, width, and area as arguments, and display them in an appropriate message on the screen.

Wi-Fi Diagnostic Tree Figure 3-23 shows a simplified flowchart for troubleshooting a bad Wi-Fi connection. Use the flowchart to create a program that leads a person through the steps of fixing a bad Wi-Fi connection. Here is an example of the programs output; Reboot the computer and try to connect. Did that fix the problem? no [Enter] Reboot the router and try to connect. Did that fix the problem? yes [Enter] Notice that the program ends as soon as a solution is found to the problem. Here is another example of the programs output: Reboot the computer and try to connect. Did that fix the problem? no [Enter] Reboot the router and try to connect. Did that fix the problem? no [Enter] Make sure the cables between the router modem are plugged in firmly. Did that fix the problem? no [Enter] Move the router to a new location. Did that fix the problem? no [Enter] Get a new router. Figure 3-23 Troubleshooting a bad Wi-Fi connection

The acceleration of the linear trajectory of problem P1-13 is shown in Fig. P1.14. Determine the equation of a (t ) for 0t1s1t3s3t4s

The output voltage, v0, of the Op-Amp circuit shown in Fig. P1.23 satisfies the relationship vo=(1+100R)(vin2)(100R)vb, where R is the unknown resistance in k and vb is the unknown voltage in volts. Fig. P1.23 gives the values of the output voltage for two different values of the input voltage. (a) Determine the equation of the line for vo, as a function of vin, and find the values of R and vb. (b) Plot the output voltage vo as a function of the input voltage vin. On the plot, clearly indicate the value of the output voltage when the input voltage is zero (y-intercept) and the value of the input voltage when the output voltage is zero (x-intercept).

The tip of a one-link robot is located at =0 at time t=0 s as shown in Fig. P6.1.It takes 1 for the robot to move from =0 ,to =2rad If l=5 in., plot the x and y components as a function of the. Also find the amplitude, frequency, period, phase angle, and time shift. FIGURE P6.1 Rotating one-link robot starting at =0.

Consider the two-loop circuit shown in Fig P7.1. The currents l1 and l2 (in A) satisfy the following system of equations: 16l19l2=110 (7.84) 20l29l1+110=0 (7.85) (a) Find l1 and l2 using the substitutions method. (b) Write the system of equations (7.84) and (7.85) in the matrix form AI=b, where I=[ I1I2 ]. (c) Find l1 and l2 using the matrix algebra method. Perform all computations by hand and show all steps. (d) Find l1 and l2 using the Cramer’s rule.

In the purely resistive circuit shown in Fig. P2.6, the total resistance R of the circuit is given by R=R1+R1R2R1+R2 (2.58) If the total resistance of the circuit is R=100 and R2=2R1+100. find R2 and R1 as follows: (a) Substitute the values of R and R2 into equation (2.58), and simplify the resulting expression to obtain a single quadrate equation for R1. (b) Using the method of your choice, solve the quadratic equation for R1 and compute the corresponding value of R2.

At Stardust Gems, a faux gem and jewelry company, the setting department is a bottleneck. The company is considering hiring an extra worker, whose salary will be $67,000 per year, to ease the problem. Using the extra worker, the company will be able to produce and sell 9,000 more units per year. The selling price per unit is $20. The cost per unit currently is $15.85 as shown: What is the annual financial impact of hiring the extra worker for the bottleneck process?

This list contains costs that various organizations incur; they fall into three categories: direct materials (DM), direct labor (DL), or overhead (OH).t Classify each of these items as direct materials, direct labor, or overhead. Glue used to attach labels to bottles containing a patented medicine. Compressed air used in operating paint sprayers for Student Painters, a company that paints houses and apartments. Insurance on a factory building and equipment. A production department supervisors salary. Rent on factory machinery. Iron ore in a steel mill. Oil, gasoline, and grease for forklift trucks in a manufacturing companys warehouse. Services of painters in building construction. Cutting oils used in machining operations. Cost of paper towels in a factory employees washroom. Payroll taxes and fringe benefits related to direct labor. The plant electricians salaries. Crude oil to an oil refinery. Copy editors salary in a book publishing company. Assume your classifications could be challenged in a court case. Indicate to your attorneys which of your answers for part a might be successfully disputed by the opposing attorneys and why. In which answers are you completely confident?

Assigning indirect costs to specific jobs is completed by which of the following? applying the costs to manufacturing overhead using the predetermined overhead rate using the manufacturing costs incurred applying the indirect labor to the work in process inventory

You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuity

Which of the following is the primary source of revenue for a service business? A. the production of products from raw materials B. the purchase and resale of finished products C. providing intangible goods and services D. the sale of raw materials to manufacturing firms