1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Keith_Richards [23]
3 years ago
9

Is the expression X space logical or space (Y space logical and space Z )equivalent to (X space logical or space Y )space logica

l and space (X space logical or space Z )for all possible inputs of X, Y, and Z
Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

To prove:

X+Y.Z=(X+Y).(X+Z)

Taking R.H.S

= (X+Y).(X+Z)

By distributive law

= X.X+X.Z+X.Y+Y.Z --- (1)

From Boolean algebra

X.X = X

X.Y+X.Z = X.(Y+Z)

Using these in (1)

=X+X(Y+Z)+Y.Z

=X(1+(Y+Z)+Y.Z --- (2)

As we know (1+X) = 1

Then (2) becomes

=X.1+Y.Z

=X+Y.Z

Which is equal to R.H.S

Hence proved,

X+Y.Z=(X+Y).(X+Z)

You might be interested in
From a point T on a horizontal ground, the angle of
grin007 [14]

Answer:

distance TS ≈ 19 m (nearest meter)

Step-by-step explanation:

The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms  a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R.  The adjacent side of the triangle is the side TS.

using tangential ratio

tan 63° = opposite/adjacent

tan 63° = 38/adjacent

cross multiply

adjacent tan 63° = 38

divide both sides by tan 63°

adjacent side = 38/tan 63°

adjacent side = 38/1.96261050551

adjacent side = 19.3619670807

distance TS ≈ 19 m (nearest meter)

6 0
3 years ago
The oven is 65 degress it increases at a rate of 10 per minute what is it after 6 minutes
xeze [42]

Answer:

125 degrees

Step-by-step explanation:

10×6 = 60

65 + 60 = 125

8 0
3 years ago
What is 0.16666666...as fraction .show your work
Alecsey [184]
<h3>Answer:   1/6</h3>

Work Shown:

x = 0.1666666...

10x = 1.666666...

100x = 16.666666...

100x - 10x = 16.666666... - 1.666666...

90x = 15

x = 15/90

x = (1*15)/(6*15)

x = 1/6

So, 1/6 = 0.1666666...

8 0
3 years ago
What is the formula for finding the final balance of an account that earns interest compounded annually? State what each variabl
Schach [20]
C=P[(1+r)^n-1]
C = COMPOUND INTEREST
P = PRINCIPAL 
r = rate per period
n = number of periods
5 0
3 years ago
ACTIVITY
marin [14]

Answer:

4 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:

(Total wide of the wall - wide of the painting) / 2 = X

(12 - 4) / 2 = X

8/2 = X

4 = X

Therefore, 4 feet of wall should be on each side of the painting.

7 0
3 years ago
Other questions:
  • Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more de
    12·2 answers
  • 6/N = 100/75<br> What is N?
    12·1 answer
  • What is number 8 and how do u do it. HELP
    9·1 answer
  • 4. x^2+13x=-42
    7·1 answer
  • If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true? A. x + 12 ≤ 2(5 − y) B. x + 12 ≤ 2x − 3 C. x + 12 ≤ 2(x −
    9·2 answers
  • Find the factors prime or composite 21
    14·1 answer
  • 1.64/22 with estimation and an explanation?
    5·1 answer
  • Find the line with the slope m=½ through point (8,1)​
    10·1 answer
  • The area of a rectangle is 48 cm². If its width is 6 cm, what is its length?
    12·2 answers
  • If a quadrilateral is inscribed in a circle then opposite angles are:.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!