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A 30cm pendulum traverses an arc of 15 cm. To the nearest degree, how many degrees of rotation did the pendulum swing?
A metal storage tank with volume 9π is to be constructed in the shape of a right circular cylinder surrounded by a hemisphere. What dimensions will require the least amount of metal?
Note the terms: 0% interest for ? number of years, the instant dollar discount, the retail price of the vehicle, and the interest rate of the loan. Given those figures, which is the better deal and why? Support your answer with calculations.
a postcard is 6in by 4in.a printing shop will enlarge it so that the longer side is any length up to 3 ft. find the dimensions of the biggest enlargement.
Let f be defined on the interval [0,1] by setting f(x)=0 if x is irrational, and if x=(m/n) rational where gcd(m,n)=1 set f(x)=n. Show that f is unbounded on every open interval in [0,1] and compute the Lebesgue integral of f over the interval [0,..
You have a choice to build a small new plant, do nothing (the value of this is zero), or build a large plant. We'll use Net Present Value to compute this.
Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.
Suppose that Phi (f) is an isomorphism. Is f then an isomorphism? Alternatively, suppose that Phi (G) and Phi (G')
It would normally follow on from work on sequences and fractions-Ruth was investigating fraction differences. She wrote down this sequence of fractions:
A hat contains n coins, f of which are fair and b of which are biased to land on heads with a probability of 2/3. A coin is drawn from the hat and tossed twice.
Probability that a player's pick wins the grand prize. In a certain lottery, k balls are chosen at random and without replacement from a bin containing N balls numbered 1 through N
Find the absolute change and the percentage change in the following case. The population of a country increased from 99 million in 1990 to 259 million in 2010.
The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 p..
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