If p is true and q is false, the p-> gis
true.

Therefore If p is true and q is false, the p → q is False.

Step-by-step explanation:

' → ' is Conditional or Implication sign

It is the symbol for the connective phrase' Ifthen '

If 'p' and 'q' are statements then " p→q " it read as p implies q

The Truth Table for Implication is below

p             q          p→q

True    True       True

True    False      False

False   True       True

False    False      True

Therefore If p is true and q is false, the p → q is False.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.