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1. How many unique types of pizza can you create when allowed to choose two of seven types of meats, two of eight types of vegetables, one of two types of sauces, and one of three types of crusts?
2. A bowl of candy contains many pieces of candy but only six different types of candy. How many ways can three pieces of candy be removed from the bowl? Assume you can remove one or more pieces of the same type of candy.
3. A basketball team has sixteen women on the roster. In how many ways can the coach choose a roster consisting of five different positions?
using trigonometry to solve a right triangle.the angle of depression to one side of a lake measured from the passenger
suppose we first generate a random variable U from a uniform distribution on the interval(0,1).then we define a transformation x=(1-U)^-1/theta where theta>0. next suppose that x1,x2,x3,...are a random variables having the same distribution x.what..
Republicanism prefers small governance units and assumes homogeneity while Liberalism tolerates diversity and is thus heterogeneous.
integrating a differential equation given the initial values.a --0.0001275204323b 0.033810412806466when timet is zero
The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 1000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7500 cen..
A typical tank is shaped like a right circular cylinder of radius r and length L, mounted horizontally, as shown in the accompanying figure. The data come to the accounting office as depth measurements taken with a vertical measuring stick marked ..
A ladder is leaning against the side of a building. The base of the ladder is 8 feet from the base of the building, and the top of the ladder touches the building at a point that is 15 feet above the ground. How long is the ladder?
application of calculus-optimization problemtwo vertical poles pq and st are secured by a rope prs going from the top
explain a rational exponent? how are rational exponents related to radicals? give an example of how an expression with
The width of a swimming pool (in feet) is a prime number greater than 10.The width and length of the pool are factors of 408. What are the dimensions of the pool?
DESIGNING A NORMAN WINDOW A Norman window has the shape of a rectangle surmounted by a semicircle (see the accompanying figure). If a Norman window is to have a perimeter of 28 ft, what should its dimensions be in order to allow the maximum amount..
Compute the number of different ways n queens can be arranged on an n × n chessboard so that no two queens can attack each other for all positive integers n not exceeding 10.
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