SAT High School

(5-7i+i²) + (8i³+12)
The complex expression above is equivalent to the expression a+bi, for the integer constants a and b. What is the value of a?


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Answers

Answer 1

Answer:

16-15i

Explanation:

(5-7i+i²) + (8i³+12)

i²= -1 and i³=-i, so we can substitute those in and rewrite the equation as

(5-7i-1) + (-8i+12)

We can now drop the parentheses because there is no multiplication or distribution involved.

5-7i-1 + -8i+12

And just rearrange the order of the terms to make it easier to combine like terms. Just remember to keep negative signs with the correct terms.

5-1+12-7i-8i

And now combine like terms

16-15i

Related Questions

whats a Gliding Joint

Answers

Answer:

Explanation:

Gliding joint (plane joint or planar joint,) is a synovial joint formed by two flat bones surfaces joined together by ligaments. This allows for flexibility in any direction along the bone such as sliding, twisting, bending, stretching and circular (rotation) movements. The synovial fluid between the bone surfaces reduces friction at the joint.This type of joints can be found in the human body at the wrist, foot, palm, ankle.

PLS HELP WILL GIVE BRAINLIEST Steve is whirling a rubber cork, tied with a string to his finger, over his head as shown in the figure. The motion of the cork is similar to the motion of a planet in the Solar System around the sun. Which force of the Solar System is similar to the tension of the string?

Answers

Answer:

Gravitational

Explanation:

It's the sun's gravity that pulls the planets to keep them in that orbit just like the cork staying in place

Where is the majority of Earth’s water found? atmosphere glaciers lakes oceans

Answers

Answer:

the oceans

Explanation:

The ocean holds about 97 percent of the Earth's water; the remaining three percent is found in glaciers and ice, below the ground, in rivers and lakes.

The ocean holds about 97 percent of the Earth's water; the remaining three percent is found in glaciers and ice, below the ground, in rivers and lakes.

What is Atmospheric glacier?

Earth is always moving and changing, albeit slowly. Throughout the course of millions of years, temperatures fluctuate in cycles.

A large portion of the Northern Hemisphere of the Earth was covered in two miles of ice during the previous ice age, which ended only 16,000 years ago.

The land beneath and surrounding the glacier is continuously rising and falling in response to its ice-age weight even though the ice has long since melted.

Therefore, The ocean holds about 97 percent of the Earth's water; the remaining three percent is found in glaciers and ice, below the ground, in rivers and lakes.

To learn more about Atmospheric glacier, refer to the link:

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Some colleges are selective because:
A. they are located in metropolitan areas.
B. they do not spend time reviewing applications as thoroughly.
C. they have a high number of applicants and a limited number of
spots.
D. only a small number of students apply to them.

Answers

Answer: A.

they have a high number of applicants and a limited number of spots.

Explanation:

Some colleges are selective because they have a high number of applicants and a limited number of spots. Thus option C is appropriate.

What is College?

College is the term used to describe a higher education institution, particularly one that focuses on general or liberal arts education as opposed to technical or professional training.

The chance to make a difference in your community and boost professional security and satisfaction are two reasons that college is crucial. Your ability to succeed in the workforce of today may depend on your college education.

Students may experience extreme stress when selecting a college. Because they get a large number of applications and have a small number of openings, some universities are selective.

Therefore, option C is appropriate.

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Describe how a continental divide affects the direction of water flow over land

Answers

Answer:Each river system feeds into a distinct ocean, bay, or sea.Generally, precipitation that falls on one side of the divide will flow to one basin and precipitation that falls on the other side will flow to another basin

wich definition best describes global warming

Answers

Hey

Global warming is the name given to the greenhouse effect, which is thought to be caused by atmospheric atmosphere emission gases, and average temperature measurements measured in land, sea and air throughout the year.

Good lessons :)

#Asya

Answer:

Global warming is the ongoing rise of the average temperature of the Earth's climate system and has been demonstrated by direct temperature measurements and by measurements of various effects of the warming.

Examples of Global Warming:  

Increased temperatures cause polar ice caps to melt

Increased temperatures cause glaciers to melt and retreat faster than usual.

You bought 200 shares of Stock A at $23.00 per share 6 months ago. It is now worth $47 per share. What was the percent of increase in the stock over 6 months?
a) 20%
b) 102%
c) 104%
d) 224%

Answers

Answer:

c

Explanation:

The percent of increase in the stock over 6 months is 104%. The correct option is c.

What is stock?

A stock reflects a claim on a company's assets and earnings as well as a share in the ownership of the business.

The percent of increase in the stock over 6 months can be calculated using the following formula:

Percent increase = (New value - Old value) / Old value x 100%

Where:

Old value = the original price of the stock (in this case, $23.00 per share)

New value = the current price of the stock (in this case, $47.00 per share)

Using this formula, we get:

Percent increase = ($47.00 - $23.00) / $23.00 x 100%

Percent increase = $24.00 / $23.00 x 100%

Percent increase = 104.35%

Rounding to the nearest whole number, the percent increase in the stock over 6 months is 104%.

Thus, the answer is option (c) 104%.

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Which statement correctly compares the speed of light?

Answers

Answer:

the speed of light in glass is slower than the speed of light in space

Answer: The speed of light in glass is slower than the speed of light through space.

Explanation:

If Adam eats 95 apples a day. How many times does he use the restroom in a week?

Answers

Answer:

ummm is there anything else and whyyyyy? is this a math problem????? Probably. I think that many apples would very negatively impact his health.

Answer:

LOL you okay, Adam? I think he'd better check up on his friend Johnny Appleseed too in case... q(≧▽≦q) He must REALLY hate the doctor... (an apple a day keeps the doctor away!)

Explanation:

He probably uses the restroom like at least 10-15 times each day, assuming he isn't dead at this point. I don't really know the science.... (Pro tip: take some laxatives, boi)

Adam has to have a LOT of time to eat those apples... and to go poop.

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