Mathematical Analysis

Euler's dilemma is based on the seven bridges of Konigsberg. The question was could one start at one point and return there having cross each bridge once and only once. The answer, as Euler proved, was No.

This question has important consequences for graph theory and, later, for topology. A popular version of the dilemma was to draw figures without lifting pen from paper.

For more on the Bridges of Konigsberg, see the attached link.

4,567 = 4.567 × 103

4because 64 divided by 16 equals 4you can check your work by multiply 16 times 4 and you get 64 tens

10

Because its still a set, although its empty or nothing in that set

{} {0}

* * * * *

The second example above is NOT of an empty set: it is the set that contains the number zero.

It is 390, exactly as in the question!

Yes, it can.

Eight million and eight tenths

Linear programming can be used to solve problems requiring the optimisation (maximum or minimum) of a linear objective function when the variables are subject to a linear constraints.

there are one thousand thousands in a million.

There are 25.4 tenths.

2652973.5936

four times two and one-half is ten

because there is nothing to divide, it is in all absolute zero, a black hole, a compilation of nothing

105

8/9

0.0109

The grade is 66.25%

Divide by two and five.

1, 2, 4, 5, 10, 20

0%, it may only touch at one point, which has no area.

In order to work out a complement fraction, one would take the initial fractional value and add "x" to it, thus equaling the target value. Then with a simple switch of the two sides of the equations and a balancing order, the x would solve itself.

It is: 2.3 = 2.30

1/6 gallons each.

funny