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Water is being pumped at a rate of 0.3 cubic meters per minute into a tank that has the shape of an inverted cone. The tank is 5 meters tall and has a diameter at the top of 2 meters. How fast is the water level rising when the depth of the water is 3 meters? Recall that the volume of a cone is onethird the area of the base times the height ( V = 1/3BH)
A plane is heading due south with an airspeed of 264 mph. A wind from a direction of 59 degrees is blowing at 13 mph. Find the direction the plane is actually headed. (Note that bearings are measured from north, clockwise.
A person who is 6 foot tall walks away from a 40 foot tree towards the tip of the tree's shadow. At a distance of 10 feet from the tree the persons shadow begins to emerge beyond the tree's shadow.
Sue, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should be invested in each to rea..
The Yearly Production of a 5 foot orange tree is 34 pounds of Oranges. A 14 foot orange tree produces 86 pounds. Let h represent the height of an orange tree and p the number of pounds of oranges produced. List the ordered pairs.
Find the size of a corner square that will produce an opened-top box with the largest possible volume.
Describe how a domestic fast food chain with plans for expanding into China would be able to use a forecasting model.
Ernesto is going to choose 2 flowers. First, he will choose a flower for his mother the second flower he chooses will be for his sister. The florist has two blue flowers, 1 red flower and 1 yellow flower.
At a certain time of day, the angle of elevation of the sun is 64°. To the nearest foot, find the height of a pole whose shadow at that time is 13 feet long.
A ship leaves its home port and sails on a bearing of N 28°10' E. Another ship leaves the same port at the same time and sails on a bearing of S 61°50' E. If the first ship sails at 24 mph and the second ship sails at 28 mph, find the distance bet..
The set of bit strings that end with 00; the set of bit strings that end with 01; the set of bit strings that end with 10; and the set of bit strings that end with 11.
a parabolic satellite dish is formed by rotating the curve y=ax^2 about the y-axis. if the dish has a 10 foot diameter and a maximum depth of 2 feet, find a and then find the surface area of the dish.
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
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