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1. in how many ways can five identical rooks be placed on the squares of an 8 by 8 board so that four of them forma the corners of a rectangle with sides parallel to the sides of the board.
2. consider and 9 by 9 board and nine rooks of which five are red and four are blue. suppose you place the rooks on the board in nonattacking positions at random. What is the probability that the red rooks are in rows 1,3,5,7,9? What is the probability that the red rooks are both in rows 1,2,3,4,5 and in columns 1,2,34,5?
Given the linear equation y= -3/7x-1, find the y-coordinates of the points (-7, ), (0, ), and (7, ). Please show all of your work. Plot those points and graph the linear equation.
The everton College store paid $16.74 for an order of 48 calculators. The store paid $9 for each scientific calculator. The other all graphing calculators, cost the store $555 each. How many of each type of calculator was ordered?
describe the solutions of each inequality in words.1. -6 lt m2. 3t gt 123. -x gt 24. 2 b lt
Simplify the given algebraic expression.
Create a class Polynomial and a corresponding test class that is used to evaluate a polynomial function of x: P(x) = a0 + a1 * x + a2 * x ** 2 + ......+an * x ** n; ai is coefficient i, and x ** n means x to the power of n
Elimination or substitution method to solve the equations.
The three elementary row operations come from a very natural place - they are thematrix equivalent of the same three operations allowed when reducing and solving a system of equations.
Substitution method for solving the equations
Find how many bowls does each machine produce
Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function.
You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project.
Find the unknown price from the information
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