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antoniya [11.8K]
3 years ago
13

What is - 4i ^ 19, simplify

Mathematics
1 answer:
german3 years ago
7 0

Answer:

"i"

Step-by-step explanation:

i =\sqrt{-1} \\i^{2}= -1\\\\i^{3}= -i\\\\i^{4}= 1\\\\i^{5}= i\\

the cycle repeats every 4

19/4 = 4.75

16 is divisible by 4 plus three more

thus  i^{19} = -i  but you problem has a minus in front  so "i"

You might be interested in
M=−(4+m)+2 what is m
Alchen [17]

Answer: m=-1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    m-(-(4+m)+2)=0

1.1     Pull out like factors :

  2m + 2  =   2 • (m + 1)

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

2.2      Solve  :    m+1 = 0  

Subtract  1  from both sides of the equation :  

                     m = -1

5 0
3 years ago
Find the distance between (-2,7) and (3, -3). Round to the nearest tenth. Geometry please help
yan [13]

Answer:

15

Step-by-step explanation:

The formula for distance when given vertices is

√(x2 - x1)² + (y2- y1)²

Where we have points (x1,y1) and (x2,y2)

So, (-2,7) and (3, -3)

Distance = √(3 -(-2))² + (-3 -7)²

= √5² + (-10)²

= √25 + 100

= √125

= 15

Therefore, the distance between (-2,7) and (3, -3) is 15

8 0
3 years ago
Can I get some help with these questions, please?
dangina [55]

17. The letter is J

The letter appears 3 times

18. Lefthanded students = 4 students

<h3>How to determine the factors</h3>

17. We have that 1/4 of the months of the year start with the same letter

It is important to note that:

January, June and July all start with the same letter

The letter is J

The letter appears 3 times

18. Total number of students = 24

5/ 6 are right handed

Right handed students = 24 × 5/ 6 = 4 × 5 = 20 students

Lefthanded students = 24 - righthanded students

Lefthanded students = 24 - 20

Lefthanded students = 4 students

Thus, we can see that the letter that appear in 3 months of the year is J

Learn more about word problems here:

brainly.com/question/13818690

#SPJ1

5 0
2 years ago
An orange punch is 45% juice and a mango punch is 20% juice. By combining the two, a company is making 500 L of a fruit punch th
AlekseyPX

Answer:

<h2>400 L of orange punch</h2>

Step-by-step explanation:

step one:

given data

orange punch is 45% juice and

mango punch is 20% juice.

amount of fruit punch to be made is

500 L of a fruit punch that is 40% juice.

Let x = the number of liters of orange punch in the fruit punch.

Then the number of liters of mango is 500 - x

The number of liters of orange + mango juice is

0.45x + 0.2(500 - x), and this must equal the number of liters

in the fruit punch, which is 0.4*500

0.45x + 100 - 0.2x = 200

solve for x

0.45x-0.2x+100-200=0

0.25x-100=0

0.25x = 100

x=100/0.25

x = 400 L

<u>400 L of orange punch</u>

6 0
3 years ago
What is the product of −2/12 and −3/13? ​ −8/13 ​ ​ −6/16 ​ ​ 6/16 ​ ​ 8/13
natali 33 [55]
HAHAHAH SAME.... just use a calculator
6 0
3 years ago
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