For the answer to the question above, I'll show my solution for the answer below.
Area A = pi r^2
<span>The rate of change of area = d A/ d t = 2 pi r d r/d t </span>
<span>r= 2t, d r = 2 d t </span>
<span>This gives </span>
<span>d A/ d t = 2 pi 2t 2 d t = 8 pi t dt </span>
<span>Integrate it </span>
<span>A= 4 pi t^2. </span>
<span>After t=5, the area will be 100* 3.14 square= 314 square units.</span>
Answer:
A 100 lb person will weight 40 lb on Mars
Step-by-step explanation:
Given:
Weight on Mars directly varies as its weight on earth.
Let weight on Mars be = 
Let weight on Earth be = 
Its known that:
∝
Thus
where 
is constant of proportionality.
when 
, then 
thus, we have
dividing both sides by 95.
∴ 
Thus when 
, would be calculated as
∴ 
(Answer)
∴ A 100 lb person will weight 40 lb on Mars.
The two ways to find the ratio of the length is to turn the inches into feet or the feet into inches
So the answer can be solved like this:
1/36ft to 1/4ft which is 9:1 (blueprint size to actual size)
or
1/3in to 3in which is also 9:1 (blueprint size to actual size)
The average is (0.76+0.88) / 2 = 1.64 / 2 = 0.82
The answer is compound inequality
