SOLUTION: It has been estimated that 900 curies of a radioactive substance introduced at a point on the surface of the open sea would spread over an area of 24000km^2 in 30 days. Assuming th
Algebra.Com
Question 222747: It has been estimated that 900 curies of a radioactive substance introduced at a point on the surface of the open sea would spread over an area of 24000km^2 in 30 days. Assuming that the area covered by the radioactive substance is a linear function of time t and is always circular in shape, express the radius r of the contamination as a function of t.
Do not simplify the number under the radical.
I worked it out and got r=((sqr(24000/pi))/(30))*t. It appears that this is not right though. Please explain what I am doing wrong.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
It has been estimated that 900 curies of a radioactive substance introduced at
a point on the surface of the open sea would spread over an area of 24000km^2 in 30 days.
:
Assuming that the area covered by the radioactive substance is a linear function of time t and
is always circular in shape, express the radius r of the contamination as a function of t.
:
Do not simplify the number under the radical.
:
I think what you got is pretty close, here's my take on this
:
Find the value of r when t = 30 days and area = 24000
:
:
:
Reduce the fraction
:
:
:
r as a function of t
:
:
Check this find radius when t = 30 days
r = 87.4 km
:
Find the area using this value for r
A = pi*87.4^2 = 24,000 sq/km; confirms our solution
RELATED QUESTIONS
It has been estimated that 1000 curies of a radioactive substance introduced at a point... (answered by ankor@dixie-net.com)
It has been estimated that 1000 curies of a radioactive substance introduced at a point... (answered by ankor@dixie-net.com)
A radioactive substance has a half-life of 60 years. There is an accident that exposes a... (answered by ankor@dixie-net.com)
What is the half-life of a 5g radioactive substance that decomposes at a rate of... (answered by ankor@dixie-net.com)
A radioactive substance has a halflife of 120 years. If 200mg of substance was present,... (answered by ewatrrr)
A radioactive substance has a halflife of 120 years. If 200mg of substance was present,... (answered by josgarithmetic)
Suppose that 5g of a radioactive substance decrease to 4g in 30 seconds . How long does... (answered by ankor@dixie-net.com)
hi i got this question based on exponential methods i have tried but sadly not succeeding (answered by scott8148)
Find the half-life of a radioactive substance that is reduced by 30% in 20... (answered by Madgamer107)