1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SVEN [57.7K]
2 years ago
10

Determine which expressions represent purely real numbers and which expressions represent non-real complex numbers. -i^2+i^3 7-5

i √ 6 0+9i √(-5)^2 -12 2 -7i^2
purely real number


non-real complex number

Mathematics
1 answer:
Roman55 [17]2 years ago
4 0

Purely real numbers are in the form of a+0i, while the Non-real complex numbers are in the form of a+bi.

<h3>What are Purely real numbers and Non-real complex numbers?</h3>

Purely real numbers are in the form of a+0i, while the Non-real complex numbers are in the form of a+bi.

The given expressions can be simplified in the following manner,

  • -i^2+i^3 = -(\sqrt{-1})^2+(\sqrt{-1} \times \sqrt{-1} \times \sqrt{-1}) = 1 -i
  • 7-5i
  • \sqrt{-6} = \sqrt{-1 \times 6} = \sqrt{-1} \times \sqrt{6} = 0+ i\sqrt{6}
  • i⁶ = (i²)³ = (-1)³ = -1 = -1 +0i
  • 0+9i
  • (\sqrt{-5})^2 = (\sqrt{-1 \times 5})^2 = -1 \times 5 = -5+0i
  • -12 = -12+0i
  • 2 -7i^2 = 2-7(-1) = 2+7 = 9+0i

Purely real numbers (a+0i)

  • -1 +0i
  • -5+0i
  • -12+0i
  • 9+0i

Non-real complex number (0+bi)

  • 1-i
  • 7-5i
  • 0+i√6
  • 0+9i

Learn more about Purely real numbers and Non-real complex numbers:

brainly.com/question/20410752

#SPJ1

You might be interested in
I need help with this ​
djyliett [7]

Answer:I don't know this one.

Step-by-step explanation:

7 0
3 years ago
I need help! I would appreciate if you show me the work! Thank you !
iVinArrow [24]

Answer:

-11 for the first one and 0 for the second one

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current
exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0
2 years ago
What is the area of this triangle?
Aleonysh [2.5K]
I think the area of this triangle is 27.1 square cm. Hope it help!
5 0
3 years ago
A number is 2 tens more than 993. What is the number?
Effectus [21]

Answer:

1013

Step-by-step explanation:

993 + 10 + 10.

4 0
3 years ago
Read 2 more answers
Other questions:
  • If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
    10·1 answer
  • Yesterday, Jim had b baseball cards. Today, he gave 13 away. Using b, write an expression for the number of cards Jim has left.
    9·1 answer
  • Sorry about the glare?<br>​
    14·2 answers
  • Can you prove that the quadrilateral is a parallelogram based on the information? Support your response with an explanation. (4
    12·1 answer
  • What is the slopeof the function x=(-4) y=(-2)
    15·2 answers
  • 0.0638 rounded to the nearest thousandth?
    8·1 answer
  • If logx27 + logy4 =5<br>and logx27 - logy4 =1<br>find x and y​
    7·1 answer
  • The midpoint of line segment AB is (1,2). if the coordinates of A are (1,0) what are the coordinates of B
    9·1 answer
  • Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 feet, and the height is 8 feet. I
    6·1 answer
  • 4x−19=−3x−12<br> What is the value of x?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!