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attashe74 [19]
3 years ago
13

What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?

Mathematics
2 answers:
Makovka662 [10]3 years ago
8 0

Answer:

Step-by-step explanation:

-4-\sqrt{2}i \\ absolute ~value=\sqrt{(-4)^2+(-\sqrt{2} )^2} =\sqrt{18}=3\sqrt{2 }

Natali [406]3 years ago
5 0

Answer : The absolute value of the given complex is, 3\sqrt{2}

Step-by-step explanation :

As we know that,

The complex number is, a + bi

The absolute value = \sqrt{a^2+b^2}

Given :

The complex number -4-\sqrt{2}i.

For this complex number:

a = -4

b = -\sqrt{2}

Thus, the absolute value will be:

\sqrt{a^2+b^2}=\sqrt{(-4)^2+(-\sqrt{2})^2}=\sqrt{16+2}=\sqrt{18}=3\sqrt{2}

Thus, the absolute value of the given complex is, 3\sqrt{2}

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HACTEHA [7]

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Step-by-step explanation:

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5 0
3 years ago
What is the total cost of a $150.00 necklace if the sales tax is 6.5%
LiRa [457]
The best thing to do is to find what 1% is, and you can do this by dividing 150 by 100.
150/100= 1.5
As you're looking for 6.5%, you've got to multiply 1.5 by 6.5
1.5*6.5= 9.75
You've then got to add 9.75 and 150 together
150+9.75= $159.75
Therefore, after the sales tax, the cost of the necklace is $159.75 
Hope this helps :) 
4 0
3 years ago
Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings: f(1)
Umnica [9.8K]
1. We use the recursive formula to make the table of values:
f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175

2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.

3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.

4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.
4 0
3 years ago
I JUST NEED HELP PLZZ<br> AND THANK YOU
Kamila [148]

Answer:

43

Step-by-step explanation:

Based on the pattern of the scatter plot, 43 seems to be the better option.

6 0
2 years ago
What is the median of this set of data?<br> 71, 37, 22, 81, 65, 54, 52, 41, 48, 71
laiz [17]

Answer:

53

Step-by-step explanation:

FIrst, put the numbers in order from least to greatest:

22, 37, 41, 48, 52, 54, 65, 71,71, 81

When you croos of 4 numbers from the left and 4 from the right. 52 and 54 are the 2 numbers in the middle.

52+54=106

106/2=53

6 0
3 years ago
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