I think this answers all the parts
Hope this helped :)
Option B:
is the correct answer.
Explanation:
The exponential equation is 
If
, then 
Thus, the equation becomes

Applying log rule,
and thus the equation becomes

Since, we know that,
, using this we get,

Hence, the logarithmic equation which is equivalent to the exponential equation
is 
Thus, Option B is the correct answer.
<span><span> x = -3/2 = -1.500
</span><span> x = 4</span></span>
Answer:
15 kilometres
Step-by-step explanation:
Based on the wording of your question, I am assuming you already know that Paul ran 250 metres every 1 minute, and that the ratio is 250:1. To get the second part of the answer, convert metres to kilometres. 0.001*250= 0.25. Paul ran 0.25 kilometres per minute. The ratio of kilometres per minute is 0.25:1. Next, convert minutes to hours. Multiply the entire ratio by 60, as there are 60 minutes in an hour. The ratio of kilometeres per minute is 15:60, and the ratio of kilometres per hour is 15:1, meaning Paul ran 15 kilometres in one hour.
Answer:
20 in
Step-by-step explanation:
The radius is half the diameter.
You are given the diamter is 40 in.
So the radius is half of 40 in.
Half of 40 in means what is 40 in divided by 2.
Half of 40 in or 40 in ÷ 2 is 20 in.
The radius is 20 in.