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
yan [13]
3 years ago
12

If a = –2 – 5i and b = –i, then find the value of the ab^3 in fully simplified form.

Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

5 + 2i

We were given the complex numbers;

a = - 2 - 5i

and

b = - i

We want to find the product;

ab^3                            ^ = Exponent

We substitute the complex numbers into the expression and simplify

( - 2 - 5i ) (i)^3                     ^ = Exponent            

This is rewritten as:

( - 2 - 5i) (i)^2     x  i                           ^ = Exponent

Note that

i^2 = - 1                                            ^ = Exponent

We substitute to obtain:

( - 2 - 5i )  x  - i                

Let us expand to get:  

- 2 x - i + 5i  x  - i

This simplifies to:

2i - 5i^2                           ^ = Exponent

This gives:

2i - 5 ( - 1 ) = 2i + 5

Hope This Helps

DOH! My Brian Hurts

You might be interested in
The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylind
Bess [88]

Answer:

12566.4 mm²

Step-by-step explanation:

The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.

TSA = Total Surface Area

CSA = Curved Surface Area

TSA of open cylinder = CSA of cylinder + area of base or top

= 2πrh + πr²

= πr(2h + r)

From the above question:

r = 50mm

h = 15mm

Hence,

= π × 50 (2 × 15 + 50)

= π × 50 (30 + 50)

= π × 50(80)

= π × 4000

= 12566.370614mm²

Approximately = 12566.4 mm²

The Surface Area of the petri dish with no lid = 12566.4 mm²

3 0
3 years ago
Help me plsss<br><br> And show identity. Thank you:)
zhuklara [117]

Answer:

see the formula in book

Step-by-step explanation:

change the first 2 brackets into cos sin like that

then after,change both into another formula

sin theta plus cos theta will come ans

4 0
3 years ago
Read 2 more answers
99 points for brainliest
Whitepunk [10]

Answer:

144

Step-by-step explanation:

4 triangles = 1/2 x 6 x 9 x 4 = 108

1 sq base = 6 x 6 = 36

total surface area = 36 + 108 = 144

if 3 triangles the base wouldn't be a square thus not possible to solve

6 0
3 years ago
Read 2 more answers
If John has pairs 5 different colors pairs of socks, how many orders can he wear them in over five days? Repetition is not allow
ikadub [295]

Answer:

120 ways

Step-by-step explanation:

On the first day, John was 5 choices   5

On the second day he has 4 choices 4

On the third day he has 3 choices

On the fourth day he has 2 choices

On the fifth day he has 1 choice

5*4*3*2*1 = 120 different ways

4 0
3 years ago
SOMEONE PLEASE HELP, I AM STUCK!!!!!
dedylja [7]

Answer:

The answer is 1

Step-by-step explanation:

Anything to the zero power is 1

4 0
2 years ago
Other questions:
  • The materials and equipment you will have include 100% alcohol, test tubes (large diameter test tubes), fermentation tubes (smal
    11·1 answer
  • What is 27/45 to to the simplest form
    8·2 answers
  • 10. which of the following ordered pairs is a solution of the given system of linear equations
    6·1 answer
  • What is 8y=23+3x divided by 8?
    15·1 answer
  • Consider the following game, played with three standard six-sided dice. If the player ends with all three dice showing the same
    7·1 answer
  • Can anyone help me out with this question? It doesn’t have to be a long answer, just a couple sentences. Thanks! ❤️
    10·1 answer
  • According to Locke, what are natural rights
    11·2 answers
  • Who now that I do now is cus I am in 5 grade
    13·1 answer
  • A soccer team is selling doughnuts to raise money for new uniforms. They are selling the doughnuts for $8 per dozen. They must p
    9·1 answer
  • Es para hoy ayúdenme por favor
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!