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3 years ago

What is the absolute value of the complex number -4-sr2i

1 answer:

8 0

The complex number seems to be -4 - (√2) i

The absolute value of a complex number a + bi is defined as

|a + bi| = √ [(a^2) + (b^2)].

So, the absolute value of - 4 - (√2)i is

| -4 - (√2)i | = √ [ (4)^2 + (√2)^2 ] = √ [ 16 + 2 ] = √18 = √(9*2) = √9 * √2 = 3√2

Answer: 3√2

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Find the number of steel ball bearings, each of diameter 0.7 cm, that can be made from 1kg of steel, given that 1cm cubed of ste

dimulka [17.4K]

Answer:

Ball Bearing Volume = (4 / 3) * PI * radius ^3

Volume = (4 / 3) * 3.14159265 * (.35)^3

Volume = (4 / 3) * 3.14159265 * 0.042875

Volume = 0.17959438 cc

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Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc

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Number of ball bearings we can make = 128.205 / 0.17959438

Equals 713.86

Step-by-step explanation:

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3 years ago

Find the mean of the data. 9, 56, 24, 59, 2

timurjin [86]

Answer:

24 because it is the middle number

Step-by-step explanation:

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2 years ago

Write an exponential function of the form f(x) = ab* whose graph passes through the

Andrews [41]

Answer:

Step-by-step explanation:

let f(x)=ab^x

when x=1,f(x)=6

6=ab

when x=2,f(x)=18

18=ab^2

divide

$\frac{ab^2}{ab}=\frac{18}{6}\\b=3\\ab=6\\3a=6\\a=2\\f(x)=2(3)^x$

4 0

3 years ago

PLEASE HELP THANK YOU EVERYBODY

Nadusha1986 [10]

Answer:

150 in^2

Step-by-step explanation:

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2 years ago

Read 2 more answers

For what values of x would the following be true? -2(x-3)<4

emmainna [20.7K]

Answer:

x > 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-2(x - 3) < 4

Step 2: Solve for x

Divide -2 on both sides: x - 3 > -2
Add 3 to both sides: x > 1

Here we see that any value x greater than 1 would work as a solution to the equation.

7 0

3 years ago