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A bowl is shaped like a hemisphere with diameter 40 cm. A ball with diameter 8 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
Calculate the amount earned by a principal.
A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:
Construct a truth table and determine the truth value of the statement ~ q = { ~r ^ ( p v q) }, when p is false, q is true and r is true.
Use linear approximation, the tangent line approximation, to approximate the following: Note: the correct answer are different from the calculator computed values
How many 3-letter code words are possible using the first 10 letters of the alphabet if a) no letter can repeated, b) letters can be repeated, c) adjacent letters cannot be the same?
Calculate the percentage of students who score less than 700
Determine the correct degree of freedom
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
Find the velocity of the top of the ladder at time t=1.
How many students does the college need to enroll in the first year to break even?
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