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
PolarNik [594]
3 years ago
10

Simplify (3 + 2i)(7 − 5i).

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
8 0
Rule needed: i^2 = -1
Standard form a + bi

(3 + 2i)(7 - 5i) FOIL
3 * 7 = 21
3 * - 5i = - 15i
2i * 7 = 14i
2i * -5i = - 10i^2 = - 10 * -1 = 10
Putting it all back together.
31 - i
swat323 years ago
3 0
(3+2i)(7-5i) = 21 - 15i + 14i + 10 = 31 - i
You might be interested in
Is the following sentence a statement or not a statement? open the door. it is a statement. it is not a statement. cannot tell
erma4kov [3.2K]
It is a statement. I hope this helps  
4 0
3 years ago
Read 2 more answers
4. Suppose that Peculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply thr
Viktor [21]

Answer:

Peculiar purples would be more abundant

Step-by-step explanation:

Given that eculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply through a mechanism in which each single  bacterial cell splits into four. Time taken for one split is 12 m for I one and 10 minutes for 2nd

The function representing would be

i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

a) Here P0 =3, time t = 60 minutes.

i) I bacteria P = 3(4)^{5} =3072

ii) II bacteria P = 3(4)^{4} =768

b) Since II is multiplying more we find that I type will be more abundant.

The difference in two hours would be

3(4)^{10}- 3(4)^{8} =2949120

c) i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

d) At time 36 minutes we have t = 36

Peculiar purples would be

i) P=3 (4)^{36/12}=192

The rate may not be constant for a longer time.  Hence this may not be accurate.

e) when splits into 2, we get

P=P_o (2^t) where P0 is initial and t = interval of time

7 0
3 years ago
Roberto and Maria Santanos spend approximately $11.50 per week to wash and dry their family's clothes at a local coin laundry. A
Elena L [17]

Answer:

68 weeks

Step-by-step explanation:

1 week costs $11.50.

so, how many such weekly each cycles fit into the price of new machines ?

if they wait to long (to many weeks) they spend in total more money than buying a new machine.

but if they stay still below that max. number of weeks, they have at least the illusion that they are cheaper of with the weekly laundromat investment (but they forget, sooner or later they will need the new machines).

so the break even point is simply

782 / 11.5 = 68 weeks.

after 68 weeks it has cost them exactly the same amount of money, as if they had bought new machines right away at the beginning.

3 0
2 years ago
Write a paragraph proof that 1+1=2<br> (Fun fact: it took over 72 pages just to prove that 1+1=2)
Irina18 [472]

Answer:

The theorem here is essentially that

if a and 3 are disjoint sets with

exactly one element each, then their

union has exactly two elements. ...

Peano shows that it's not hard to

produce a useful set of axioms that

can prove 1+1=2 much more easily

than Whitehead and Russell do.

3 0
2 years ago
Read 2 more answers
Given: Circle M with inscribed Angle K J L and congruent radii JM and ML
vredina [299]

The missing reason in step 8 is the substitution property.

<h3>What is substitution property?</h3>

It should be noted that according to substitution property, if x = y, then x can be substituted for y in any equation.

When a variable is equal to another variable, then the variables can be interchangeable.

In this case, the missing reason in step 8 is the substitution property.

Learn more about substitution property on:

brainly.com/question/12289041

#SPJ1

8 0
2 years ago
Other questions:
  • In standard notation, 7.09 �� 10 *to the power of 4* is _____.
    13·1 answer
  • What is the radius of a<br> cylinder with a diameter of<br> 36?
    9·2 answers
  • During the first half of a game you scored eight points in the second half you may only three point baskets you finish the game
    7·1 answer
  • A company redesigned its website. It wants to
    13·2 answers
  • the sum of three numbers is 130. the second number is twice the first. the third number is equal to twice the second minus 1/2 o
    7·1 answer
  • Tiara earns $33 washing 3 cars. At this rate, how much does Tiara earn washing 9 cars?​
    6·2 answers
  • 1. A train traveled at an average speed of 23 miles per hour for 6 hours and 20 miles per hour for 8 hours. The total number mil
    13·1 answer
  • What is the distance between the points (−7, −3) and (−7, −9) ?
    5·2 answers
  • A bakery receives 200 loaves of bread each day of the week. The table below
    12·1 answer
  • Please help like i really need it
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!