7. A clock has a minutes hand that is 10cm long. In 1 minute, the minutes hand rotates 6 degrees. How far does the end of the minutes hand travel?
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- Use the table below that describes two different shipping companies to help you solve the problem. Shipping Company A Shipping Company B *Charges a one-time $450 membership fee *Charges a one-time $200 membership fee *Charges $3.80 per item shipped *Charges $1.30 per item shipped Select which answer represents the number of items when purchased, will result in the same price being charged by both shipping companies. You can assume that each company requires you to pay the one-time membership fee before using the service. 0 0 0 0 58 items 600 items 100 items 580 itemsYou are building a right-angled triangular flower garden along a stream as shown in the figure. (The borders can be in any directions as long as they are at right angles as shown.) The fencing of the left border costs $4 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $96 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose? HINT [The area of a right-triangle is given by A = xy/2.] left border ft bottom border ft garden area ft2For each of the following types, write a problem of that type, draw a strip diagram or number bond (as appropriate) and formulate two equations for that problem, one using addition and one using subtraction. A Put Together/Take Apart, Addend Unknow problem. Two versions of a Compare, Difference Unknown problem; one formatted with “more” and one with “fewer”
- Susan has just completed her second semester in college. She earned a grade of C in her 4-hour calculus course, a grade of B in her 1-hour economics course, a grade of D in her 5-hour physics course, and a grade of D in her 5-hour creative writing course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Susan's grade-point average for the semester. Susan's grade point average is (Round to two decimal places as needed.)Can you please help me with these two questions?For the following problem, do not use algebra. Make a guess that satisfies one or more conditions of the problem, and then evaluate your guess. You must show work to support your solution, for example, use a table to document your guesses. Rick, Sam, and Li work at a coffee shop for a total of 59 hours. If Rick worked 5 more hours than Sam and 4 fewer hours than Li, how many hours did Li work? a. Use your own words to describe the big-picture ideas from the given scenario. b. Use your own words to list out each important detail from the given scenario. C. Solve by Guess and Check. Clearly describe each guess/check that led you to the correct answer. Write you final answer in a complete sentence.
- Here’s a look at a map of the east side of Dubuque, Iowa. It shows a driving path from a casino on the river to a golf course on the other side. According to the maps app on my phone, the driving distance is 3.0 miles. We’re most interested in the graphic at the bottom left, which indicates that 1 inch on the map (measure if you don’t believe me) corresponds to 2,000 feet in real life. If a 50-foot boat were on the river, how big would it appear on the photo? Round to three decimal places.There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison. If the town of Garrison is located 22 miles directly east of the town of Timpson, how far is the road junction from Timpson?A researcher is interested in whether people who enjoy fine wine can actually tell the difference between a highly rated expensive wine and a good inexpensive wine. She selects several bottles of a highly rated cabernet sauvignon (a red wine) costing over $100 per bottle and several bottles of a good cabernet sauvignon costing $12. Subjects will taste a glass of wine without knowing whether it is the expensive or inexpensive wine. This is the treatment. They will then be asked to estimate how much the wine cost. This is the response variable. Outline a completely randomized design to compare the cost estimates for the two treatments. Twenty subjects are available. Group 1 Treatment 1 10 subjects expensive wine Compare Price estimate Random assignment Treatment 2 A Grouo 2 10 subjects inexpensive wine Group 1 10 subjects - expensive wine Random assignment Compare price estimates Group 2 10 subjects - inexpensive wine Treatment 1 Group 1 20 subjects expensive wine Compare Price estimate…
- Donna wants to give her child some cough medicine. However, she is unsure about the dosage, so she reads the directions. She notices that the dosage differs based on age. Determine the independent variable and the dependent variable.Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 29 miles per gallon on the highway if your average speed is 48 miles per hour, and it averages 26 miles per gallon on the highway if your average speed is 65 miles per hour. Answer parts (a) and (b) below. a. What is the driving time for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the driving time at 65 miles per hour? The driving time at 48 miles per hour is hours. (Type an integer or decimal rounded to two decimal places as needed.) The driving time is at 65 miles per hour is (Round to two decimal places as needed.) b. Assume a gasoline price of $4.43 per gallon. What is the gasoline cost for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the gasoline cost at 65 miles per hour? The gasoline cost at 48 miles per hour is $ (Round to two decimal places as needed.) hours. The…