I can't conveniently copy the logical symbols you use, so I write
AND = ∧ (conjunction)
OR = ∨ (disjunction)
NOT = ¬
Tautologically,
p = (p AND q) OR (p AND NOT q)
and we can distribute the OR to get the equivalent statement
(p OR (p AND NOT q)) AND (q OR (p AND NOT q))
and again to get
((p OR p) AND (p OR NOT q)) AND ((p OR q) AND (q OR NOT q))
Now, q OR NOT q is always true, and p OR p is simply p, so we have
p = p AND (p OR q) AND (p OR NOT q)
This shows that p OR NOT q is already included in p, so our initial statement is simply
p AND (NOT p OR NOT q)
Distributing the conjunction, we get
(p AND NOT p) OR (p AND NOT q)
p AND NOT p is tautologically false, but we're considering a disjunction, so the truth value of p AND NOT q is the only value that's relevant. So, the initial statement collapses to
p AND NOT q
Answer:
<h2>tank 1 can hold three times the water tank 2 can hold</h2>
Step-by-step explanation:
in this problem, we are expected to solve for the individual volumes of each tank
given tank 1
lenght= 30 inches
width=20 inches
height= 15 inches
volume= 30*20*12
volume= 7200 inch^3
given tank 2
lenght= 20 inches
width=12 inches
height= 10 inches
volume= 20*12*10
volume= 2400 inch^3
to get the amount of water tank 1 one can hold more than two, we need to divivde the volume of tank 1 by tank 2
= 7200/2400
=3
Therefore tank 1 can hold three times the water tank 2 can hold
Answer:
i donk know
Step-by-step explanation:
