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2 years ago

How do historians define the term "causation

Mathematics

1 answer:

Naily [24]2 years ago

5 0

Your answer would be the relationship between two events in which one leads directly to the other occurring

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Complete the square to transform the expression x2 + 4x + 2 into the form a(x − h)2 + k.

Nina [5.8K]

Answer:

Step-by-step explanation:

y = (x^2 + 4x) + 2

Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.

Put it after 4x

y = (x^2 + 4x + 4) +2 Subtract what you put inside the brackets on the outside.

y = (x^2 + 4x + 4) + 2 - 4 Combine the right.

y = (x^2 + 4x + 4) - 2 Express the brackets as a square.

y = (x + 2)^2 - 2

That's your answer

a = 1

h = 2

k = -2

3 0

2 years ago

Recall that a 6-bit string is a bit strings of length 6, and a bit string of weight 3, say, is one with exactly three 1's. How m

strojnjashka [21]

Answer:

1.. Total number of 6 bit strings is 64

2. Number of 6-bit strings with weight of 0 is 1

3. Number of 6-bit strings with weight of 1 is 6

4. Number of 6-bit strings with weight of 3 is 20

5. Number of 6-bit strings with weight of 5 is 6

6. Number of 6-bit strings with weight of 6 is 1

7. Number of 6-bit strings with weight of 7 is 0

Step-by-step explanation:

A bit string is a string that contains 0 and 1 only

1. Total number of 6 bit strings is 2^6 = 64

2. Number of 6 bit strings with weight 0 is 1

Explanation

Weight 0 means a string with no occurrence of 1

Here, we are only interested in occurrence and not order of occurrence

We apply combination formula for this

nCr = n!/(n-r)!r!

n = 6 and r = 0 i.e. no occurrence of 1

6C0 = 6!/(6-0)!0!

6C0 = 6!/6!0!

6C0 = 1

Hence, the number of string with weight 0 (i.e. no occurrence of 1 ) is 1

3. Number of string with weight 1 is 6

Explanation

Weight 0 means a string with exactly 1 occurrence of '1'

Here, we are only interested in occurrence and not order of occurrence

We apply combination formula for this

nCr = n!/(n-r)!r!

n = 6 and r = 1

6C1 = 6!/(6-1)!1!

6C1 = 6!/5!1!

6C1 = 6

Hence, the number of string with weight 6

4. Number of string with weight 3 is 20

Explanation

n = 6 and r = 3

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 20

Hence, the number of string with weight 3 is 20

5. Number of string with weight 5 is 6

Explanation

n = 6 and r = 5

6C5 = 6!/(6-5)!5!

6C5 = 6!/1!5!

6C5 = 6

Hence, the number of string with weight 5 is 6

6. Number of string with weight 6 is 1

Explanation

n = 6 and r = 6

6C6 = 6!/(6-6)!6!

6C6 = 6!/0!6!

6C6 = 1

Hence, the number of string with weight 6 is 1

7. Number of string with weight 7 is 0

Weight of 7 means that a string that has 7 occurrence of 1

The total length of a 6 bit is 6

Since 6 is less than 7, there's no way a bit of weight 7 can occur.

So, the right answer for this is 0.

8 0

2 years ago

Think About the Process The length of a rectangle is twice the width. The area of the rectangle

natima [27]

Answer:

length of each square= $\sqrt{43}$ ≈ 6.6

the length of the rectangle = 2 $\sqrt{43}$ ≈ 13.1

width of the rectangle ≈ $\sqrt{43}$ ≈ 6.6

Step-by-step explanation:

8 0

2 years ago

brad converted 5/11 to a decimal, and his result was repeating decimal. does this mean that the value is rational or irrational?

Alina [70]

Answer: It means the value is rational

Step-by-step explanation:

Repeating decimals can be converted to fractions and rational numbers are numbers that can be expressed as a fraction but irrational numbers cannot be expressed as a fraction and neither does it terminate or repeat.

4 0

3 years ago

Joe divides a candy bar into 8 equal pieces for her children to share she gives three pieces to Sam three pieces to Leslie and t

madam [21]

6/8 n nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

3 0

3 years ago

How do historians define the term "causation​

How do historians define the term "causation