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3 years ago

For which operations is the set {0, 1} closed?

1 answer:

5 0

0 × 0 = 0
0 × 1 = 0
1 × 1 = 1

Which means multiplication is closed under {0, 1}

1 ÷ 1 = 1
0 ÷ 1 = 0

Division is not closed under {0, 1}

1 + 1 = 2

Addition is not closed under {0, 1}

0 - 1 = -1

Subtraction is not closed under {0, 1} either

So it's only A. Multiplication which is closed under {0, 1}

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Express 0.1111111...+0.01010101010101....+ 0.000100010001 as a common fraction.

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Sent a picture of the solution to the problem (s).

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3 years ago

A flock of birds was flying around a tree. When they landed, three birds to a branch, no branches were left and one bird had to

trapecia [35]

Answer: 5 branches and 16 birds.

Step-by-step explanation:

If the number of birds is B, and the number of branches is N.

First we have the equation:

B = 3*N + 1

(3 birds per branch + 1 that was flying around)

for the second equation we have:

B = 4*(N - 1)

(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)

now we can write:

3*N + 1 = 4*(N - 1)

3*N + 1 = 4*N - 4

4 + 1 = 4*N - 3*N

5 = N

So we had 5 branches, now we can replace it in one of the equations and find the number of birds.

B = 3*N + 1 = 3*5 + 1 = 16

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2 years ago

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Which linear inequality is represented by the graph?

gulaghasi [49]

Answer:

Y < 3x+2

Step-by-step explanation:

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2 years ago

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How many months old is Paula?

oksano4ka [1.4K]

Answer:

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Step-by-step explanation:

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2 years ago

Find the area of the shaded region in the figure below. 5in. 8in.

Fiesta28 [93]

Hi there!

Answer:

The area of the shaded region is 28 in²

Step-by-step explanation:

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches

A = 8 × 5

A = 40 in²

Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches

A = (8 × 3) ÷ 2

A = 24 ÷ 2

A = 12 in²

Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = 40 in² - 12 in²

Area shaded region = 28 in²

There you go! I really hope this helped, if there's anything just let me know! :)

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2 years ago