Write in surd form
2 answers:
<h2>Answer: 169 √(13)</h2>
Step-by-step explanation:
We can rewrite in a form that makes it easier to see:
13^{\frac{5}{2} } = √[(13)⁵]
Now, we want to factorise and rewrite (13)⁵ so that one of the factors is a perfect square
13⁵ = 13⁴ × 13 (where 13⁴ is a perfect square)
⇒ √[(13)⁵] = √[ 13⁴ × 13] <em>[separate each term on LHS]</em>
= √(13⁴) × √(13) <em> [square root the perfect square]</em>
= 13² √(13) <em> [simplify]</em>
= 169 √(13)
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Complete Question
When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude (7340 feet) would have on the athletes. Assuming air pressure decays exponentially by 0.5% every 100 feet, by what percentage is air pressure reduced by moving from sea level to Mexico City?
Round your answer to one decimal place.
....... %
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The height of Mexico city is h = 7340 feet
The rate at which air pressure decays is 0.5% per 100 feet
From the data given
=>
=>