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3 years ago

You have been provided with the following logic

1 answer:

5 0

If X and Y are Boolean variables, then X + Y represents disjunction (OR) and XY represents conjunction (AND), and X' denotes the negation (NOT). So X + Y = 1 if either X = 1 or Y = 1, and XY = 1 only if both X = 1 or Y = 1.

Now,

(X + Y) (X + Y') = XX + YX + XY' + YY'

… = X + X (Y + Y') + 0

… = X + X

… = X

or in table form,

$\begin{array}{c|cccc}X&1&1&0&0\\Y&1&0&1&0\\Y'&0&1&0&1\\X+Y&1&1&1&0\\X+Y'&1&1&0&1\\(X+Y)(X+Y')&1&1&0&0\end{array}$

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You are getting a line-up ready for a school kickball game. You have 7 girls and 7 boys. The rules state each child must kick th

Effectus [21]

Answer:

50,803,200 ways

Step-by-step explanation:

In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:

BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.

For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:

$n=2*7!*7!\\n=2*(7*6*5*4*3*2)^2\\n=50,803,200\ ways$

There are 50,803,200 ways to set the line-up.

8 0

4 years ago

Find the 11th term of the arithmetic sequence 2x - 2, 5x – 9, 8x – 16,...

joja [24]

Answer:32x -72

Step-by-step explanation:

7 0

3 years ago

What is the area? Please help me.

svlad2 [7]

Answer:

106 square meters.

Step-by-step explanation:

First find the whole orange rectangular figure and then remove a part of it. The original orange figure appears to be 10 x 12 = 120 m. Next we would need to find the amount that is removed. To find this we need to find the length and width of the thing. The length is 7 and the width looks to be 10 - 4 - 4 = 2. 7 x 2 = 14. Subtract 14 from 120 to get 106 square meters.

4 0

3 years ago

Read 2 more answers

400 people are asked if they drink tea

Korvikt [17]

Answer:

56 people drink 3 cups daily

Step-by-step explanation:

What's the total number of people that drink 3 cups?

Total number of people = 400

7 / 10 were asked said yes

Number of people that said yes = (7 / 10) × 400 = 280

280 people drink tea.

20% of 280 people drink 3 cups daily, whats the number = ?

20% of 280 = ?

20 / 100 = x / 280

(20 × 280) = (100 × x)

5600 = 100x

X = 5600 / 100

X = 56 people

56 people drink 3 cups of tea daily.

5 0

4 years ago

JUST ANSWER PLEASE!!! QUICK

jeka57 [31]

Answer:

Options 1 and 3

Step-by-step explanation:

We should know that, the system of linear equations can be treated as matrices, i.e: we can modify or make any operations provide that we must apply the same operation for all terms of each equation.

Given: the solution for the following system is (2,9)

Px + Qy = R ⇒(1)

Tx + Uy = V ⇒(2)

We will check which system of equation has the same solution.

System A) Px + Qy = R

(P+T)x + (Q+U)y = R+V ⇒(3)

So, By summing (1) and (2) we will get the equation (3)

So, system A has the same solution (2,9)

System B) Px + Qy = R

(P+2T)x + (Q+2U)y = R-2V ⇒(4)

By multiplying equation (2) by 2 and add with equation (1), we will get:

(P+2T)x + (Q+2U)y = R+2V

Which is not the same as equation (4)

So, system B has not the same solution (2,9)

System C) (T-P)x + (U-Q)y = V-R ⇒(5)

Tx + Uy = V

By multiplying equation (1) by -1 and add with equation (2), we will get the equation (5)

So, system C has the same solution of (2,9)

System D) (T-P)x + (Q+U)y = V-R ⇒(6)

Tx + Uy = V

We cannot get equation (6) by the same operation over equation (1)

Note the coefficient of x and y⇒ (T-P) and (Q+U)

They must be (T+P) and (Q+U) OR (T-P) and (Q-U)

So, system D has not the same solution of (2,9)

System E) (5T-P)x + (5U-Q)y = V-5R ⇒ (6)

Tx + Uy = V

By subtract equation (1) from 5 times equation (2), we will get:

(5T-P)x + (5U-Q)y = 5V-R

Which is not the same as equation (6)

So, system E has not the same solution (2,9)

As a conclusion, the systems which have the same solution are:

Options 1 and 3

5 0

3 years ago