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3 years ago

What is the definition of “i”? What do we use it for? Demonstrate with an example of your own.

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

The letter "i" is used to signify that a number is an imaginary number.

Step-by-step explanation:

An imaginary number is one that gives a negative result when squared. This differs from when you square real numbers where you always get a positive result. For example:

i = √-1

Imaginary numbers can be especially useful when trying to find the square root of a real negative number such as -16. Normally we cannot find the square root of -16 but through the use of imaginary numbers we can:

√-16 = 4i

~Hope this helps!~

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Make sure to explain please! Evan's mother used 1/3 pound of beef, 1/2 pound of shrimp, and 3 pounds of pasta to make dinner for

AVprozaik [17]

I believe this should be on coursehero!

8 0

3 years ago

The length of a bridge is 1.5 cm.Whet is the actual length of the bridge in meters if the map is drawn at a scale of 1:40000

11111nata11111 [884]

Answer:

800

Step-by-step explanation:

1:5 and 1:40000

40000/5 is 800

Actual length is 800.

Hope this helps :D

8 0

3 years ago

The sum of four consecutive odd integers is three more than five times the least of the integers. Find the integers.

Olegator [25]

Answer:

Step-by-step explanation:

{k - some integer}

2k+1 - the first odd integer (the least)

5(2k+1) - five times the least

5(2k+1)+3 -<u> three more than five times the least</u>

2k+1+2 = 2k+3 - the odd integer consecutive to 2k+1

2k+3+2 = 2k+5 - the next odd consecutive integer (third)

2k+5+2 = 2k+7 - the last odd consecutive integer (fourth)

2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>

2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3

8k + 16 = 10k + 5 + 3

- 10k -10k

-2k + 16 = 8

-16 - 16

-2k = -8

÷(-2) ÷(-2)

k = 4

2k+1 = 2•4+1 = 9

2k+3 = 2•4+3 = 11

2k+5 = 2•4+5 = 13

2k+7 = 2•4+7 = 15

Check: 9+11+13+15 = 48; 48-3 = 45; 45:5 = 9 = 2k+1

4 0

3 years ago

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass funct

Basile [38]

This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x 0 0.5 1 1.5 2 2.5

f(x) 0.1 0.2 0.3 0.2 0.1 0.1

determine;

a) P( X < 2.5 )

B) P( 0.75 < X ≤ 1.5 )

Answer:

a) P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x 0 0.5 1 1.5 2 2.5

f(x) 0.1 0.2 0.3 0.2 0.1 0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

3 0

3 years ago

Mariana tried to drink a slushy as fast as she could.She drank the slushy at a rate of 4.5 miliiliter per second.After 17 second

umka21 [38]

Since she drank 4.5 mm of slushy per second, she continued to drink for 17 seconds so 4.5•17=76.5 Now that you have how much she drank, add that to how much is remaining (148.5) and the original amount that she drank; the answer is 225 milliliter of slushy

4 0

3 years ago