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Determine if the relation represented by the following Boolean matrix is partially ordered. Ans: Let the following relation R is defined on set A = {x, y, z}. To test if t
Prove that a simple graph is connected if and only if it has a spanning tree. Ans: First assume that a simple graph G has a spanning tree T. T consists of every node of G.
Rebecca is 12.5% taller than Debbie. Debbie is 64 inches tall. How tall is Rebecca? Because Rebecca is 12.5% taller than Debbie, she is 112.5% of Debbie's height (100% + 12.5%
If A be the area of a right triangle and b one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2 Ab /√ b 4 +4A 2 . An
What are Factors? When you multiply several numbers together, (4 x 5 x 3), the numbers (4, 5, and 3) being multiplied are called factors. The result of the multiplying th
Prove that if f and g are functions, then f intersect g is a function by showing f intersect g = glA A={x:g(x)=f(x)}
what is the remainder when 75 is divided by 4
Example of Word Problems Involving Money: A collection of coins consists of nickels, dimes & quarters. The number of quarters is double the number of nickels, and the number o
Equations of Planes Earlier we saw a couple of equations of planes. Though, none of those equations had three variables in them and were actually extensions of graphs which we
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
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