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3 years ago

9

Find the absolute value of the complex number 5 - 4i.

1 answer:

Alex777 [14]3 years ago

3 0

Option B is the correct answer

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Rewrite the fraction in the sentence below as a percentage.

harkovskaia [24]

Answer:

62%

Step-by-step explanation:

31/50 is also equal to 62/100 (if we multiply the numerator and denominator by 2). 62/100 is 62%.

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2 years ago

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For f(x) = 2x+31-5, name the type of function and describe each of the three transformations from

MAVERICK [17]

Answer:

x=-13 The solution is in the picture above. if you need more solutions let me know. :)

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3 years ago

a crafter wants to make 20% profit on the items he makes. if the cost of materials is $1.20, what should the items sell for to m

Alborosie

The crafter should sell his crafts for $6

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3 years ago

A bookcase has a mass of 20 kilograms. A book in the bookcase has a mass of 500 grams.

dimaraw [331]

Answer:

Step-by-step explanation:

Remark

You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.

Conversion

20 kilograms = 20 * 1000 grams / kg

20 kilograms = 20000 grams

Formula

Number of books = mass of bookcase / mass of 1 book

Givens

number of books = ??

mass of bookcase = 20000 grams

mass of one book = 500 grams

Solution

number of books = 20000 / 500

number of books = 40

Answer: 40 books = mass of bookcase

6 0

2 years ago

Put the numbers in order from least to greatest.

koban [17]

Answer:

$0.5\times{10}^{-5}$ ,

0.00025,

$3.5\times{10}^{-4}$ ,

$1.45 \times {10}^{-3}$ ,

$25.4 \times {10}^{ - 4}$ ,

0.025,

$1.25\times {10}^{-1}$ ,

$0.025 \times10$

Step-by-step explanation:

We can do it this way.

First, let us clear off the powers by multipying each number by

${10}^{5}$

This implies that,

$1.25 \times {10}^{ - 1} = 1.25 \times {10}^{ - 1} \times {10}^{5}$

$\implies \: 1.25 \times {10}^{ - 1} = 125 \times {10}^{ - 2} \times {10}^{ - 1} \times {10}^{5}$

$\implies \: 1.25 \times {10}^{ - 1} =125 \times {10}^{( - 2 - 1 + 5)}$

$\implies \: 1.25 \times {10}^{ - 1} =125 \times {10}^{2}= 125 \times 100 = 12500$

$0.00025 = 25 \times {10}^{ - 5} \times {10}^{5}$

$\implies0.00025 = 25 \times {10}^{ - 5 + 5} = 25$

$0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{ - 3}\times {10}^{5}$

$\implies0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{ - 3 + 5}$

$\implies0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{2} = 25 \times 100 = 2500$

$0.025 \times 10=25 \times {10}^{ - 3} \times10 \times {10}^{5}$

$\implies0.025 \times10=25\times{10}^{(- 3 + 1 + 5)}=25\times{10}^{3}$

$\implies0.025\times10=25\times1000 = 25000$

$0.5\times {10}^{-5}=0.5\times {10}^{ - 5} \times {10}^{5}$

$0.5\times{10}^{-5}=0.5\times {10}^{(- 5+5)}=0.5$

$1.45 \times {10}^{-3} = 145 \times {10}^{ - 2} \times {10}^{ - 3} \times {10}^{5}$

$\implies1.45 \times {10}^{-3} = 145$

$25.4 \times {10}^{ - 4} = 254 \times {10}^{-1} \times {10}^{ - 4} \times {10}^{5}$

$\implies25.4 \times {10}^ {-4} = 254$

$3.5 \times{10}^{-4}=35 \times {10}^{-1} \times {10}^{ - 4} \times {10}^{5}$

$\implies3.5 \times{10}^{-4}=35$

Arranging in order from the smallest, we have;

0.5,25,35,145,254,2500,12500,25000

Hence,

$0.5\times{10}^{-5}$ ,

0.00025,

$3.5\times{10}^{-4}$ ,

$1.45 \times {10}^{-3}$ ,

$25.4 \times {10}^{ - 4}$ ,

0.025,

$1.25\times {10}^{-1}$ ,

$0.025 \times10$

5 0

3 years ago