Answer:
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Step-by-step explanation:
Using scientific notation, it is found that the measure of one astronomical unit in kilometers is 
A number in <em>scientific notation</em> is given by:

- In which

- To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.
In this problem, 1 AU = 150,000,000 km.
- The comma has to move 8 places to the right, hence

Then, the measure is: 
For more on scientific notation, you can check brainly.com/question/16394306
Answer:
Irrational:
3√25, √256, √141
Rational:1.1625, 5.516...
Step-by-step explanation:
5,000 is 10 times greater than 500
Answer:velocity=185 m/s
Step-by-step explanation:
So make k the subject of the formula by divide both by sqrt(x)
h= k × sqrt(x)
k=h/sqrt(x)
k=256 / sqrt(256)
k=256 / 16
k=16
So now substitute the value of k :
h= 16 × sqrt (x)
Then differentiate:
=(1/2 × sqrt(x))× 16
=16/(2×sqrt(x)
=8/sqrt(x)
Then
= 8/sqrt(x) × 370
=8/ sqrt(256) × 370
=8/16 × 370
velocity=185 m/s