Given the conditional statement: p → ~q choose the logically equivalent statement. a. p → q b. ~p → q c. q → p d. q → ~p

 The correct option is

(D) q → ~p.

Step-by-step explanation:  We are given to select the statement that is logically equivalent to the conditional statement   p → ~q.

We know that

two conditional statements are said to be logically equivalent if the truth tables of both the statements are same.

That is, they have same truth values under similar conditions.

The truth table is given by

p          q        ~p          ~q         p → ~q      p → q        ~p → q     q → p        q → ~p

T          T          F            F           F               T                  T            T             F

T          F          F            T            T               F                  T            T              T

F          T          T            F            T              T                  T            F             T

F          F          T            T            T               T                  F            T             T

So, the truth values of p → ~q is same as the truth values of q → ~p. They must be logically equivalent.

Thus, option (D) is CORRECT.

i know the answer is 3

step-by-step explanation:

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50