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3 years ago

How do I solve this

Mathematics

1 answer:

Lapatulllka [165]3 years ago

8 0

Since we have 9 letters which can take on either a TRUE(T) or False(F) value, we have 2^9 = 512 possible scenarios.

PQR(R^Q)

p    q r r q p r q p v P&R^(Q v P)

T T T T T T T T T
T    T T T T T T T F
T    T    T T T T T F T
T T    T T T T T F F
T T    T T T T F T T
T T    T T T T F T F
T    T    T T T T F F T
   T    T    T T T T F F F

Hope this helps!!!!

Tried the best I could, to line them up..

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Simplify the log expression

puteri [66]

Answer:

9 $log_{3}$ (z)

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2 years ago

Eight more than the quotient of a number and 4 equals 5

Lady bird [3.3K]

Well we can put that word problem into a equation so, 8+x/4=5. Now what I would do is move the 8 to the other side, and since it moved to the other side it becomes a -8 so now we have x/4 = -3. Now I would multiply both side by 4 to get x = -12

Answer= X = -12

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3 years ago

Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0<br><br><br> What to do?

siniylev [52]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}$

Step-by-step explanation:

$12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}$

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3 years ago

I need help on question 4 and 10

nevsk [136]

The equivalent sets are <u>X n Y = { } and X U Y= {5, 6, 7,8, 9, 10, 12 ,14}</u>

<h3>Set theory and notation</h3>

Given the following sets expressed as;

X = {8, 10, 12, 14}

Y = {5, 6, 7, 8,9}

Since union means the combination of all the elements in both sets and intersection is the common elements in the set, hence;

X n Y = { }

X U Y= {5, 6, 7,8, 9, 10, 12 ,14}

Note that the intersection is an empty set since there is no common element

Learn more on set theory here: brainly.com/question/13458417

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2 years ago

2/4 of an hour is how many minutes

elena-14-01-66 [18.8K]

Answer: 30 minutes

Step-by-step explanation: First we can reduce the fraction 2/4 by dividing the numerator and the denominator by the greatest common factor of 2 and 4.

Since the factors of 2 are 1 and 2 and the factors of 4 are 1, 2, and 4, the greatest common factor of 2 and 4 is 2. So we divide the numerator and the denominator of 2/4 by 2 and we get the equivalent fraction 1/2.

Now we can change the question to say <em>1/2 of an hour is how many minutes?</em>

We know that 1 hour is equivalent to 60 minutes so half of 1 hour would be 30 minutes.

Therefore, 2/4 of an hour is 30 minutes.

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3 years ago