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A dog walks north from a crossroads at 1 mile per hour. The dog's master begins one mile east of the crossroads and walks AT ALL TIMES directly at the dog with a speed of s>1 miles per hour.
1. Find the equation (in the form y = f(x)) that describes the path of the master.
2. When and where does the master overtake the dog if s=1.5?
3. Find the function that gives the meeting time in terms of s.
a window has a shape of rectangle surmounted by a equilateral triangle.if the perimeter of the window is 12m, find the dimensions of the rectangle that will produce largest area of the window.
What is the percentage error for a measured volume of 350 ml if the actual volume was 310ml =?
Write a linear-time Boolean function HEAP(T:BINARY_TREE) which returns TRUE is T is a heap, i.e., it is partially ordered. Assume that T is represented using pointers to left and right children.
In a certain manufacturing process the probability of a type I defect is 0.14, the probability of a type II defect is 0.34, and the probability of having both types of defects is 0.04. Find the probability of having neither type of defect.
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
marcy uses a sheet of 8 inch by 11 inch paper to make an open box. She cut x by x squares out of each corner, and folded up the sides. The diagram below shows the finished box.Simplify your expressions and justify your answer to each of the questi..
show that the marginal distribution of Y1 is normal with mean u1 and variance (o1)^2
If they are taken out seven at a time, no eggs will be left over. Find the least number of eggs that could be in the basket.
When John, decided to renovate his garage, he also wanted to attach it to his house. The only one wall that was available to achieve this was the kitchen wall.
to earn a B in your algebra class, you must achieve a test average 84 and 86, inclusive. you score 86,85,80 on the first three tests. what possible scores can you earn on the fourth and final test to earn a B in the course.
Find the smallest positive integer with exactly n different positive factors when n is: By this approach for 6 the answer would be: 2*3*5*7*11*13?
A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
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