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A motorboat travels 290 km in 5 hours going upstream. It travels 430 going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
use a combinatorial proof to show the summation of k=0 to the P elements- (n/p) (m/[p-k])=([n+m]/p)
A cup of coffee at 187 degrees is poured into a mug and left in a room at 70 degrees. After 4 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-70).
An arrow shot straight up into the air reached a height of 75m. With what velocity did it leave the bow? How long was the arrow in the air?
Probability and Frequency Distributions. Due to rising medical costs, 43 million people in the United States go without medical insurance
a tree on a hillside casts a shadow 209 ft down a hill. If the angle of incline of the hillside is 22 to the horizontal and the angle of elevation of the sun is 54, find the height of the tree.
Digit probability A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number
During the 12-month period the couple owned the stock, Cisco Systems paid no dividends. Calculate the Hernandez's total return for this investment.
alculate the ninety-nine percent confidence interval find the mean gasoline mileage for 2006 cars when horsepower is 220.
Let W be the space spanned by f = sinx and g = cosx. Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.
Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
Write a mixed outcome problem (can be mass to volume, volume to representative particle, etc.)
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