Write the following statement in the form of "if-then":
The banana trees will bloom if it stays warm for a month.

If the truth value of the logical statement $(p \leftrightarrow \sim q) \rightarrow (\sim p \wedge q)$ is false,then the truth values of $p$ and $q$ are respectively:

Write the negation of the following statement:
$q:$ There exists a rational number $x$ such that $x^{2} = 2$.

Write the negation of the following statement:
Every natural number is an integer.

The contrapositive of the statement "If $I$ reach the station in time,then $I$ will catch the train" is

The negation of the statement "For every real number $x$,$x^2+5$ is positive" is