Answer:
40 percent of 46 is 18.4.
Step-by-step explanation:
If X is a finite Hausdorff space then every two points of X can be separated by open neighborhoods. Say the points of X are
. So there are disjoint open neighborhoods
and
, of
and
respectively (that's the definition of Hausdorff space). There are also open disjoint neighborhoods
and
of
and
respectively, and disjoint open neighborhoods
and
of
and
, and so on, all the way to disjoint open neighborhoods
, and
of
and
respectively. So
has every element of
in it, except for
. Since
is union of open sets, it is open, and so
, which is the singleton
, is closed. Therefore every singleton is closed.
Now, remember finite union of closed sets is closed, so
is closed, and so its complemented, which is
is open. Therefore every singleton is also open.
That means any two points of
belong to different connected components (since we can express X as the union of the open sets
, so that
is in a different connected component than
, and same could be done with any
), and so each point is in its own connected component. And so the space is totally disconnected.
Answer:
POLYNOMIAL is a 10-letter word
Step-by-step explanation:
A polynomial is such an expression.
Virtually any kind of algebraic expression is made by adding or subtracting terms, grouping them, applying functions to them, or dividing them. (A term is already a product; increasing the number factors doesn't change that.)
A polynomial is a special kind of sum-of-terms expression involving terms that are non-negative integer powers of a variable.
Answer:
two ten-thousandths
Step-by-step explanation:
You would write 0.0002 as two ten-thousandths. However some people say it the easy way, zero point zero zero zero two.
Hope this helps!