Which of the following sentences are statements? Give reasons for your answer.
Mathematics is difficult.

If $p, q, r, s$ are statements,where:
$p: A^2-B^2=(A-B)(A+B)$ where $A, B$ are matrices and $AB \neq BA$
$q: 5 \leqslant 5$
$r: { }^8 C_1+{ }^8 C_2+{ }^8 C_3+\ldots+{ }^8 C_8=256$
$s: \text{Maximum value of } { }^8 C_r \text{ is } 70$
Which of the following statements has a truth value of true?

If $A$: Lotuses are Pink and $B$: The Earth is a planet. Then the verbal translation of $(\sim A) \vee B$ is

The statement pattern $p$ $\rightarrow (q$ $\rightarrow p)$ is equivalent to

State the converse and contrapositive of the following statement:
$r:$ If it is hot outside,then you feel thirsty.

Find the component statements of the following compound statement:
The sky is blue and the grass is green.