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Rom4ik [11]
3 years ago
10

Given z=4+3i evaluate z​

Mathematics
1 answer:
DerKrebs [107]3 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

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Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:
svp [43]

Answer:

Option B. w=5h-8

Step-by-step explanation:

we have

h=(\frac{1}{5})w+(\frac{8}{5})

Solve for w

That means ----> isolate the variable w

Multiply by 5 both sides to remove the fraction

5h=w+8

subtract 8 both sides

5h-8=w+8-8

5h-8=w

Rewrite

w=5h-8

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3 years ago
What would 4(2+x)=18-x equal
matrenka [14]

Answer:

x=2

Step-by-step explanation:

4( 2+x) = 18-x

8 + 4x = 18 - x

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3 years ago
Solve the following system of equations graphically, Select the graph that shows the correct solution of the systern.
Reptile [31]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
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The regular price of a baseball bat is $38.20. The baseball bat is on sale for %20 off the regular price. Josef has a coupon for
Aleksandr-060686 [28]

Answer:

$27.5

Step-by-step explanation:

Other solution

38.2 X 0.8 = 30.56 (20% off)

30.56 X 0.9 = 27.504 (Another 10% off)

6 0
2 years ago
The time it takes a printer to print a job is an Exponential random variable with the expectation of 12 seconds. You send a job
Mnenie [13.5K]

Answer:

0.8753

Step-by-step explanation:

Calculate the probability that your job will be ready before 10.01 am

Here, the parameter of an Exponential is E(X)=12

Now, to calculate the third job probability, it follows Poisson Distribution with parameter 1/λ

Therefore, E(Y) =1/12

Here, The third job will be ready for 10:01 AM, then E(Y)=61/12

Therefore, the required probability is

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=1-0.1246

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8 0
3 years ago
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