Please help me with this

If p and q are both true, then which of the following statements has the same truth-value as ~p → q?

olganol [36]

If p and q are both true, then

$\neg p \implies q$

is an implication of the form

$F \implies T$

which is true, because every implication starting with false is true, i.e.

$F \implies T = T,\quad F \implies F = T$

So, we're looking for an expression evaluating to true. Let's see what we have:

A) is an AND proposition. Logical AND is true only if both parts are true. So, you have

$\neg P \land \neg Q = F \land F = F$

So it's not the right option.

B) is an OR proposition. Logical OR is true whenever one of the two parts is true. So, you have

$\neg P \lor\neg Q = F \lor F = F$

So it's not the right option.

C) is again an AND proposition. You have

$P \land \neg Q = T \land F = F$

So this is not the right option.

D) Finally, the last one is again an implication, and again it starts with false:

$\neg Q \implies P = F \implies T = T$

So this is true, and thus is the correct option.

8 0

3 years ago

one bus leaves a stop every 9 minutes a second bus leaves every 15 minutes if they both leave at 1:25 at what time will they nex

aleksandrvk [35]

In this question you need to find the lowest common multiple. I like to do it the factor tree way:
 15 9
/ \ / \
3 5 3 3
See how there are both a 3 in the 15 factor tree and there is at least on three in the 9 factor tree. So when you find the LCM, you combine the two threes from the different factor trees like this:
3 x 5 x 3 = 45
So every 45 minutes the bus would be at the bus stop together

Now simply add the 45mins onto the 1:25

Answer: 2:10

3 0

3 years ago

Read 2 more answers

Can someone help me please

Ostrovityanka [42]

Answer:

D

Step-by-step explanation:

as we can easily see, the x-coordinates of all points increased by 7.

so, we need a solution with "x+7". that eliminates B and C.

with that transition (glide) the triangle moved to the right into the 4th quadrant.

and now, as a second step, it needs to move up, above the x-axis, into the 1st quadrant.