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A rabbit and a turtle were to start a race at the same place. The rabbit was asleep when the turtle started. He slept for seven 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 only 1km/hr. How long will the rabbit run before it catches the turtle?
Probability of creating a mini license plate with an R. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x'+2y=0 and x'-y'=0
Is there a statistically significant difference in the proportions of women delivering preterm among the three treatment groups? Run the test at a 5% level of significance.
A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.
At a price of $1.94 per bushel, the supply of corn is 9800 million bushels and the demand is 9300 million bushels. At a price of $1.82 per bushel the supply is 9400 million bushels and the demand is 9500 million bushels.
During the first part of a trip, a canoeist travels 76 miles at a certain speed. The canoeist travels 24 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hours. What was the speed on each part of the t..
The differentiation
What is the area of the shaded region? Assume the hexagon is regular. The length is 22 the apothem is 19.05.
A 280 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
cursion boat is proportional to the cube of its speed and is $40 per hour when the speed is 10 mph. Expenses are $270 per hour. Find the most economical speed at which to make a trip of any specified distance.
A man rows a boat 350 feet upstream against a constant current in 10 minutes. He then rows 275 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
a child lies on the ground and looks up at the top of a 14-ft tree nearby. the child is 7-ft away from the tree. what is the anlge of elevation from the child to the top of the tree. round to the nearest whole degree.
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