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a body at an unknown temperature 'y' is placed in a room which is held in a room which is held at a constant temperature of 30'F. if after 10 minutes the temperature of the body is 0'F and after 20minutes the temperature of the body is 15'F, find the unknown initial temperature.
one pound of bananas cost 4.09 per pound. what is the unit cost for the bananas?
A kite 100ft above the ground moves horizontally at a speed of 8fts. At what rate is the angle between the string and the horizontal decreasing when 200ft of string have been let out?
Two sides of an isoceles triangle each measure 10 cm, and the vertex angle measures 132 degrees, Find the length of the altitude to the base. Find the length of the base.
Prove that the regression line passes through the centroid
in a study of 11000 car crashes, it was found that 5599 of them occured within 5 miles of home (based on insurance company data). use a 0.01 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home.
Matrices are the most common and effective way to solve systems of linear equations. However, not all systems of linear equations have unique solutions. Before spending time trying to solve a system, it is important to establish whether it in fact..
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
Suppose someone offers to pay you $100 if you draw 3 cards from a standard deck of 52 cards and all the cards are clubs. What should you pay for the chance to win
Create an indicator variable for identical twin.
the sum of two integers is 12. THE DIFFERENCE BETWEEN both reciprocal is 2/9. determine the two integers.
a motell clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 66 bills having a combined monetary value of $228. find the number of bills of each denomination that he has.
How deep can you expect to work without artificial light?
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