Answered

The table shows information about two of the major moons of Uranus.

| Moon | Orbital Period (days) | Average Distance from Uranus (km) |
|---------|------------------------|----------------------------------|
| Miranda | 0.319 | 129,390 |
| Titania | 8.71 | 435,910 |

What is the average distance between Miranda and Uranus?

A. [tex]$2.84 \times 10^4$[/tex] km
B. [tex]$1.29 \times 10^5$[/tex] km
C. [tex]$1.47 \times 10^6$[/tex] km
D. [tex]$4.65 \times 10^7$[/tex] km



Answer :

Let's analyze the given data to determine the correct average distance between Miranda and Uranus.

According to the table, the mean distance from Uranus for Miranda is [tex]\( 129,390 \)[/tex] kilometers.

Our task is to identify this value among the provided multiple-choice options. Given the choices are expressed in scientific notation, we will transform our value to this format:

1. Starting with the number [tex]\( 129,390 \)[/tex].

2. Move the decimal point five places to the left to convert the number into scientific notation:
[tex]\[ 129,390 = 1.29390 \times 10^5 \][/tex]

3. Considering significant figures, we can round 1.29390 to 1.29 to match the significant figures used in the options.

Thus, the average distance between Miranda and Uranus can be represented as:
[tex]\[ 1.29 \times 10^5 \text{ km} \][/tex]

After verifying the choices given, the correct answer is indeed:
[tex]\[ \boxed{1.29 \times 10^5 \text{ km}} \][/tex]