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
Rom4ik [11]
4 years ago
10

Given z=4+3i evaluate z​

Mathematics
1 answer:
DerKrebs [107]4 years ago
5 0

Answer:

5

Step-by-step explanation:

Assuming we want to evaluate |z|, given that, z=4+3i.

Then, by definition of modulus,

|x + yi|  =  \sqrt{ {x}^{2} +  {y}^{2}  }

|4+ 3i|  =  \sqrt{ {4}^{2} +  {3}^{2}  }

|4+ 3i|  =  \sqrt{ 16+  9 }  \\ |4+ 3i|  =  \sqrt{25 }  \\ |4+ 3i|  = 5

Therefore the modulus be of the given complex number is 5 units

You might be interested in
Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the
liberstina [14]

The product of the frequency and PlayCount gives the number of songs

played from the information in the histogram.

Correct responses (rounded to the nearest whole integer)

1. 2%

2. 27 PlayCount per song

3. 68%

<h3>How does one analyze an histogram?</h3>

1. The given data from the histogram is presented in a tabular form as follows;

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]

The percentages of song that where played over 100 times is given as follows;

∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651

Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36

  • Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}

2. Mean of a frequency distribution is given as follows;

Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}

Where;

x = The PlayCount

From MS Excel, we have;

∑f·x = 44410

Which gives;

  • Mean = \dfrac{44410}{1651}   \approx \underline{27}

3. Number of songs played less than 20 times = 899 + 224 = 1,123

  • \mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651}  \times 100 \approx \underline{ 68 \%}

Learn more about percentages and histograms here:

brainly.com/question/10491646

brainly.com/question/1413492

6 0
2 years ago
What is the range of the data? 53, 47, 60, 45, 62, 59, 65, 50, 56, 48
Nataly [62]

Answer:

12 hope it helps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I would really appreciate it if y'all gave me an answer pls ​
Makovka662 [10]

Answer:

The answer of this question is 78°.

Step-by-step explanation:

Let angle X be denoted by y then angle Z=y (because isosceles angles of a traingle is equal)

Now,

y+y+24°=189°

2y+24°=180°

2y=180°-24°

y=156/2

y=78°

5 0
3 years ago
​(a) Show that y Superscript 8 Baseline plus x minus 3 equals 0 is an implicit solution to StartFraction dy Over dx EndFraction
Nitella [24]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
Please find the value of c in this triangle
Natasha_Volkova [10]

Answer:

57.99

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • In order to become a member of the library all star members club there is a $40 sign up fee and a $2monthly fee. Right in equati
    5·1 answer
  • Is 6x - 4 = -4 + 6x one solution
    7·1 answer
  • Standar error A police officer would like to estimate the proportion of petty theft cases that have gone unsolved in a large cit
    7·1 answer
  • Mr. Renzo owns a company that makes specialized big screen TVs. From 2000 through 2015, the number of TVs produced can be modele
    11·1 answer
  • What is the answer to this math question?
    8·2 answers
  • When the demand for a good is highly elastic with respect to price, how should a producer want to increase revenue?
    14·1 answer
  • Help asap i will do brainlist and everything
    9·1 answer
  • Need helpp fastt plss will give brainliest to who is correct plss helpp!!!!!!!!! It a test I need good grades PLSSSS HELPPPPP!!!
    10·2 answers
  • Nita processed the odd number 4575 as follows. She found that the result was an odd number.
    9·1 answer
  • Help ASAP !!! <br> I can’t figure out witch is correct
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!