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A grapefruit is thrown with a velocity of 50 ft/sec upwards, off the top of a 256- foot tall building. How long does it take for the grapefruit to reach, and splatter all over, the sidewalk below? How fast is the grapefruit traveling when it hits the ground? What is the maximum height that the grapefruit reaches?
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
What is the exact area of a circle with a diameter of 29 inches? In an 8 inch square cake pan and a 10 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 1.5 inches high. Show step by step work. Include co..
A city sells plots in its cemetery for $1000 plus an amount calculated to provide for the costs of maintaining the grounds in perpetuity.
Create a system of linear equations from your own life. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations
Differentiate between a function and a linear function. Describe the mathematical equation of a standard linear function. Describe how to compute the slope of a line.
Suppose that a certain college class contains 38 students. Of these, are 26 sophomores, 15 are science majors, and 6 are neither. A student is selected at random from the class.
Suppose you have 82 feet of fencing to enclose a rectangular dog pen. The function A = 31x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
For one particular grade of gravel, the ratio of the height of the cone to its radius is 3:2. The conveyor delivers 20 cubic feet per minute to the pile. How fast is the height of the pile increasing when its radius is 10 feet?
A bike wheel has a diameter of 85cm. In one day the bike wheel does 380 revolutions. How far has the bike cycled. Give your answer to the nearest metre.
the solution of A batch of 655 containers for frozen orange juice contains 10 that are defective. Two are selected, at random, without replacement from the batch. What is the probability that the second one selected is defective given that the fir..
Data regarging the value of a particular laptop is represented in the graph I will make It takes half as long for the value of a particular color printer of the same purchase price to be the same value as the laptop answer the fllowing.
A rectangular swimming pool 16 m by 11 m is being filled at the rate of 0.4 m3/min. How fast is the height h of the water rising?
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