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
slavikrds [6]
3 years ago
10

Evaluate the expression ( 1 + 2 i ) ( − 2 − 1 i ) and write the result in the form a + b i .

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Answer:

- 5i.

Step-by-step explanation:

( 1 + 2 i ) ( − 2 − 1 i )

= 1 * -2 + 1*-1i + 2i*-2 - 2i*1i

= -2 - i - 4i - 2i^2           i^2 = -1 so we have:

-2 - 5i +2

= 0 - 5i

= -5i.

You might be interested in
If p+1/p - 7 then find the value of p³+1/p³ ​
ankoles [38]

Answer:

322

Step-by-step explanation:

We have,

a^3+b^3=(a+b)^3-3ab(a+b)

p+1/p=7

Now,

p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)

               =7^3-3(7)=343-21=322

5 0
3 years ago
How do you estimate large numbers?
Alex73 [517]
The best way to estimate large numbers is to find out how many units is in the number. For example, when you are dealing with millions you need to estimate the number of items closest to the large number. Ex. 1, 899,000 estimating this number is basically saying close to 2 million because the number to the right is higher then 5 so the number goes up.
4 0
3 years ago
Please explain with your answer
Gala2k [10]

Answer:

D

Step-by-step explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

d = 2 - 5 = - 1 - 2 = - 4 - (- 1) = - 3

This indicates that the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = - 3, thus

a_{40} = 5 - 3(39) = 5 - 117 = - 112 → D

4 0
3 years ago
HELP I HAVE NO IDEA WHATS GOING ON PLS HELP
Eduardwww [97]

Answer:

0.182 probability that the Yankees will win when they score fewer than 5 runs

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

When the Yankees score less than 5 runs, either they win, or they lose. The sum of these probabilities is 1.

Probability they lose:

Event A: Scoring fewer than 5 runs.

Event B: Losing

The probability that the Yankees will score 5 or more runs in a game is 0.56.

So 1 - 0.56 = 0.44 probability the Yankees score fewer than 5 runs.

This means that P(A) = 0.44

The probability that the Yankees lose and score fewer than 5 runs is 0.36.

This means that P(A \cap B) = 0.36

Then the probability they lose is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.36}{0.44} = 0.818

Probability they win:

p + 0.818 = 1

p = 0.182

0.182 probability that the Yankees will win when they score fewer than 5 runs

3 0
3 years ago
( 1 2 x− 3 8 )÷ 1 3 + 4 7 (5− 1 4 x) PLS ASAP
Ugo [173]

Answer:

12x-3+ 235-658x

-646x+232

HOPE THIS HELPS!!!!!!!!

4 0
3 years ago
Other questions:
  • The formula for converting Celsius temperatures to Fahrenheit temperatures is a linear equation. Water freezes at 0°C, or 32°F a
    12·1 answer
  • Can someone please answer this!!!!
    6·1 answer
  • 1. It is a four digit whole number. 2. It is the product of three consecutive numbers. 3. One of these three consecutive numbers
    9·1 answer
  • Multiply (x + 1);<br> x + 1<br> 3+ + 2x+2<br> x +x+1<br> 2+2x+1
    10·1 answer
  • How do you solve this without substituting <br> 2a+b=-5<br> -5a+b=16
    9·1 answer
  • Cooper opened a savings account and deposited $1,000.00. The account earns 9% interest, compounded continuously. If he wants to
    9·1 answer
  • PLEASE HELO ASAP WILL GIVE BRAINLEAST TO RIGHT ANSWER
    14·1 answer
  • Which of the following symbols will make a true sentence when inserted in the blank? 4/15___0.26
    14·1 answer
  • The temperature was 30 degrees. The temperature dropped 50 degrees. Then the temperature increased 5 degrees. What is the temper
    15·1 answer
  • 3. What is the crucial factor for a sample selection to be random?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!