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A body of mass 8 kg moves in a (counterclockwise) circular path of radius 8 meters, making one revolution every 12 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
Compute the centripetal force acting on the body.
When one outlet pipe is closed, it takes 5 hours to fill the tank. Find the flow rates (in gallons per hours) in and out of the pipes.
Turley Tailor Inc. makes long-sleeve, short sleeve, and sleeveless blouses. The cutting and sewing required hours for each of the type blouses is given in the table below.
A chef wants to make 1 gallon (128 ounces) of a 35% vinegar-to-oil salad dressing. He only has pure vinegar and a mild 4% vinegar-to-oil salad dressing on hand. How many ounces of each should he mix to make the desired dressing?
Objective questions on regression
Last week, Tom drove 284 miles. This week, he drove miles. Using , write an expression for the total number of miles he drove in the two weeks.
A chemist has a 2000 gallon vat that contains 800 gallons of a solution that is 60% water and 40% acid. She is going to add x gallons of a 75% acid solution to the vat.
The length of a rectangular garden is 10 feet longer than its width. If the garden's perimeter is 212 feet, what is the area of the garden in square feet?
Probability: Birthdays on the Same Day, Determine the number of people needed to ensure that the probability at least two of them have the same day of the year as their birthday is at least 70 percent
The market interest rate is 5.0% and the short rebate rate is 3.0%. What is your additional gain or loss due to leasing the asset?A. $96.00 gain
You are designing a rectangular poster to contain 98 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false).
Find the range of angles that trace out the full graph and determine and graph the equations of the tangent lines at each relative maximum of r
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