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Semmy [17]
3 years ago
6

The moon is about 240,000 miles from Earth.What is this distance written as a whole number multiplied by a power of ten? SHOW YO

UR WORK!! 15 points if u ANWSER NOW!!! HURRY BEFORE QUESTION DELETED
Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0
The answer is 24 multiplied by 10 to the power of 4
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The library has DVDs on crime, adventure and science fiction.
kozerog [31]

Answer:

The library has 1,056 crime DVDs.

Step-by-step explanatiion:

Crime : Adventure : Science

11x       :        6x       :   10x

6x+384=10x

384=4x

x=96

The number of crime DVDs is 11x.

We found that x=96.

So, the number of crime DVDs the library has is equal to 11*96.

11*96=1,056.

Hope this helps!

6 0
2 years ago
1 What is the value of x in the equation 8x - 5(x - 1) = 20?
fiasKO [112]

Answer:

x = 5

Step-by-step explanation:

1. Expand

    8x - 5x + 5 = 20

2. Simplify

    3x + 5 = 20

3. Subtract 5 from both sides

    3x = 20 - 5

4. Simplify

    3x = 15

5. Divide both sides by 3

    x = 15/3

6. Simplify

    x = 5

8 0
3 years ago
Plz help ill give you branlist
mel-nik [20]

Answer:

it equal to 380 milliliters

Step-by-step explanation:

i used google Liters to Milliliters conversion

8 0
3 years ago
What is (2-2i√3)4 equivalent to?
maxonik [38]

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

<h3>What are complex numbers?</h3>

Complex numbers are numbers of the form z = x + iy

<h3>a. Complex numbers in polar form</h3>

Complex numbers in polar form z = r(cosθ + isinθ) where

  • r = √(x² + y²) and
  • θ = tan⁻¹(y/x)

Given that z = (2 - 2i√3)⁴ =

So,

  • x = 2 and
  • y = -2√3

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

<h3>Powers of complex numbers</h3>

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

<h3>b. Complex numbers in rectangular form</h3>

The complex number z =  r(cosθ + isinθ) in rectangular form is z = x + iy where

  • x =  rcosθ and
  • y =  rsinθ

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y =  rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

Learn more about complex numbers in polar form here:

brainly.com/question/9678010

#SPJ1

7 0
1 year ago
How is estimation helpful in finding a product mentally? Explain.
Ulleksa [173]
When you estimate you either round up or down to get an even number. It's easier to mentally multiply numbers ending in 0.
5 0
3 years ago
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