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nevsk [136]
3 years ago
12

2r=1/6 find the value of r.​

Mathematics
1 answer:
const2013 [10]3 years ago
3 0
1/12 you find it by dividing both sides by 2
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Find the sum of the first 5 terms of the infinite series: 8 + 18 + 28 +
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Use a truth table to show that P Qand (~PV Q) A (~QV P) are equivalen
kati45 [8]

Answer:  The given logical equivalence is proved below.

Step-by-step explanation:  We are given to use truth tables to show the following logical equivalence :

P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)

We know that

two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.

The truth table is as follows :

P     Q      ∼P     ∼Q     P⇔ Q    ∼P ∨ Q     ∼Q ∨ P        (∼P ∨ Q)∧(∼Q ∨ P)

T     T         F        F             T            T                   T                       T

T     F         F        T             F             F                   T                       F

F     T         T        F             F            T                   F                       F

F     F         T        T             T            T                   T                       T

Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.

Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).

8 0
3 years ago
Solve for y.<br><br> –0.8y + 5.49 = –19.86 − 2.3y<br><br> y =
anastassius [24]

Answer:

y = -16.9

Step-by-step explanation:

<u>→Add 0.8y to both sides:</u>

-0.8y + 5.49 = -19.86 - 2.3y

5.49 = -19.86 - 1.5y

<u>→Add 19.86 to both sides:</u>

25.35 = -1.5y

<u>→Divide both sides by -1.5:</u>

-16.9 = y

8 0
3 years ago
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