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You can make a 6-digit security number using the digits 1 -9 and digits cannot be repeated. Show all work and formulas used in computing your answers.
a) How many numbers can you make if there are no additional restrictions?
b) How many numbers can you make if the first digit cannot be a one?
c) How many odd numbers can you make (the last digit is odd?)
d) How many numbers greater than 300,000 can you make?
e) How many numbers greater than 750,000 can you make?
How many words of length w can be made using a set of alphabets with aj letters for the jth letter in a word?
Determine the equation of g(x) that results from translating the function f (x) = x^2 +1 upward 2 units.
What is the highest the rock will be above the ground? how high is the platform which it's thrown? when will it hit the ground?
Given that a plane passes through the point (2, 3, -5), and the vector 2i + k is normal to the plane, find the cartesian form of its equation.
What is the Cartesian product A × B, where A is the set of courses offered by the mathematics department at a university and B is the set of mathematics.
a) Give an example of a quadratic polynomial, defined on the open interval (-5,3),which does not reach a maximum value? b) Give an example of a quadratic polynomial, defined on the open interval (-5,3),which reaches neither a maximum nor a minimum ..
Find a linear equation using the following information
Given the functions: f(x) = x2 + 3x and g(x) = -3 + x what is f(x) + g(x) ? Given the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x) ?
Find the optimal control of the plant - which minimize the performance index
How does microeconomics affect business? Why is it important for business people to understand the fundamentals of each?
Using the method presented in the chapter for comparing the means of paired samples, compare the two years in terms of days missed before and after the new program was implemented. On this basis alone, does it appear that the program has been effe..
You are designing a rectangular enclosure with [a] rectangular interior sections separated by parallel walls. If you have 300*[c] feet of fencing, what is the maximum area that can be enclosed?
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