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A rabbit and a turtle were to start a race in the same place. The rabbit was asleep when the turtle started. He slept for 7 hours before he started the race. The rabbit's average rate when he was awake was 5 km/hr. The turtle never stopped for a break, but his pace was onle 1 km/hr. How long will the rabbit run before it catches the turtle?
Find the area of the region bounded by the x-axis and the function f(x)=2x/(x^2+4) over the interval [-2,2].
He takes twice as long at full speed to get back to the dock going against the current. How fast will his fishing boat go?
A restaurant offers an "appetizer-plate special" consisting of four selections from its list of appetizers. If there are more than 700 different possible appetizer-plate specials, what is the least possible number of appetizers?
A rectangular page is to contain 196 square inches of printable area. The margins on each side are 1 inch. What should the dimensions of the page be so that the least amount of paper is used?
Find the inverse of the matrix, if it exists. Verify your answer. (If an answer does not exist, enter DNE.)
Multiple choice question from Probability and Set Language and valid probability distribution for a sample space
The cruise-control function on Georgina's car should keep the speed of the car within 3mi/h of the set speed. Write a compound inequality to show the acceptable speed s if the set speed is 55 il/h. graph the solutions.
Finding the side lengths of the given triangle - Evaluate the vertices of the triangle such that its area is a minimum.
Describe the first step to solving the power of a power compared to solving the power of a product of two factors. Give an example of solving a problem containing the power of a power.
If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
A man rows a boat 280 feet upstream against a constant current in 8 minutes. He then rows 220 feet downstream (with the same current) in 4 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel..
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