Question 3

Why does the top sheet of paper always curl

kkurt [141]

Paper curl is caused by an excess amount of moisture in the paper. The first step to ensure less paper curl is to store your paper in a cool, dry area. By doing so, you will reduce the amount of moisture and humidity the paper is exposed to. The next step is to always fan the paper before placing in the machine

8 0

2 years ago

Simplify: 1 + i + i^2 + i^3 +i^4 +i^5 if i^2 =-1.

Vika [28.1K]

1 + i + i ² + i ³ + i ⁴ + i ⁵ = 1 + i + i ² (1 + i + i ² + i ³)

… = 1 + i + i ² (1 + i + i ² (1 + i ))

… = 1 + i + (-1) (1 + i + (-1) (1 + i ))

… = 1 + i + (-1) (1 + i - 1 - i )

… = 1 + i

Alternatively, notice that

1 - i ⁶ = (1 - i ) (1 + i + i ² + i ³ + i ⁴ + i ⁵)

so that

1 + i + i ² + i ³ + i ⁴ + i ⁵ = (1 - i ⁶) / (1 - i )

Now, i ⁶ = (i ²)³ = (-1)³ = -1, so

1 + i + i ² + i ³ + i ⁴ + i ⁵ = (1 - (-1)) / (1 - i )

… = 2 / (1 - i )

Multiply the numerator and denominator by the conjugate of 1 - i :

… = 2 (1 + i ) / ((1 - i ) (1 + i ))

… = 2 (1 + i ) / (1² - i ²)

… = 2 (1 + i ) / (1 + 1)

… = 1 + i

3 0

3 years ago

Read 2 more answers

Who developed the first professional police force supported by the government in england?

sdas [7]

Sir Robert Peel developed the first professional police force supported by the government in england.

As the ,"Father of Modern Policing" he established a set of policing standards that are still relevant and urgent now as they were when they were first formed.

The Metropolitan Police Act, which established the Metropolitan Police Force and permanently appointed and paid Constables to guard the capital, was passed in 1829 while Sir Robert served as Home Secretary in Lord Liverpool's Tory Cabinet.

All police officers in Britain are now referred to as "Bobbies"! However, they were originally referred to as "Peelers" in honor of a certain Sir Robert Peel.

To learn more about Metropolitan Police Act visit brainly.com/question/5531402?referrer=searchResults

#SPJ4

8 0

1 year ago

Which is the best example of a SMART goal

svetoff [14.1K]

The method of SMART goals (an acronym for the 5 steps of specific, measurable, attainable, relevant, and time-based goals) is one of the most effective tools used by high achievers to reach their business goals consistently.

7 0

3 years ago

Read 2 more answers

evaluate each of the statements below. select those that accurately describe the role of genes and chromosomes in the process of

Bas_tet [7]

Chromosome are made of DNA.
alleles are the different forms of a gene that can exist.
chromosomes contain genes that control the inheritance of traits.

3 0

3 years ago