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Lisa [10]
2 years ago
12

What is the absolute value of the complex number -4- V2/?

Mathematics
1 answer:
Dovator [93]2 years ago
5 0

Answer:

3\sqrt{2}

Step-by-step explanation:

Given the complex number z = a + bi then the absolute value is

| z | = \sqrt{a^2+b^2}

Given - 4 - \sqrt{2} i, then absolute value is

\sqrt{(-4)^2+(-\sqrt{2})^2 }

= \sqrt{16+2}

= \sqrt{18} = \sqrt{9(2)} = 3\sqrt{2}

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Dollar Dress Shop’s inventory at cost on January 1 was $82,800. Its retail value was $87,500. During the year, Dollar purchased
lorasvet [3.4K]

The inventory of Dollar Dress Shop at cost when the retail method is used is $117, 500.

<h3>How to find the inventory cost?</h3>

When using the Retail method to find the inventory at cost, the Beginning inventory, the purchases, and the net sales are used.

The formula for finding the cost of inventory using the retail method is:

= Beginning inventory + Purchases - Net sales

= $ 87, 500 + $ 325, 000 - $ 295, 000

= $117, 500

The inventory cost of Dollar Dress Shop with the retail method is $ 117, 500.

Find out more on inventory cost at brainly.com/question/20318114

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8 months ago
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If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered?
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Hello,

1) order the terms:

3x^3+6x^2+5x+10

2) method: grouping 2 to 2 the terms:

=(3x^3+6x^2)+(5x+10)
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3 years ago
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The average weight of the class of 35 students was 45 KG. with the admission of a new student the average weight came down to 44
melamori03 [73]

The weight of the new student is 27 kg.

Average weight

= total weight ÷total number of students

<h3>1) Define variables</h3>

Let the total weight of the 35 students be y kg and the weight of the new student be x kg.

<h3>2) Find the total weight of the 35 students</h3>

<u>45 =  \frac{y}{35}</u>

y= 35(45)

y= 1575 kg

<h3>3) Write an expression for average weight of students after the addition of the new student</h3>

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= 35 +1

= 36

Total weight

= total weight of 35 students +weight of new students

= y +x

44.5  =  \frac{y + x}{36}

<h3>4) Substitute the value of y</h3>

44.5 =  \frac{1575 + x}{36}

<h3>5) Solve for x</h3>

36(44.5)= 1575 +x

1602= x +1575

<em>Subtract 1575 from both sides:</em>

x= 1602 -1575

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