Answer:
Explanation:
Radioactive decay behaves according to the law of exponential decay:
Where:
So we need to find the decay rate r. Let's find it using the equation and the data provide, but first, we need to convert the hours in days:
Now for then:
Divide both sides by 100:
Take the natural logarithm of both sides:
Multiply both sides by -8/11:
Now we have found the rate decay r, let's find how many milligrams will remain after 59 hours (25/12 day):
Answer:
Shawn's speed relative to Susan's speed = 10 mph
Resultant velocity = 82.32 mph
Explanation:
The given data :-
i) Susan driving in north and speed of Susan is ( v₁ ) = 53 mph.
ii) Shawn driving in east and speed of Shawn is ( v₂ ) = 63 mph.
iii) The speed of both Susan and Shawn is relative to earth.
iv) The angle between Susan in north and Shawn in east is 90°.
We have to find Shawn's speed relative to Susan's speed.
v₂₁ = v₂ - v₁ = 63 - 53 = 10 mph
Resultant velocity,
v = 82.32 mph