Answer:
-2.15
Step-by-step explanation: <em>I was kind of confused on what you asked. If you were asking for </em>0.4-2.55<em>, then that is the answer above.</em>
12
Step-by-step explanation:
12 i think so because i did it before
a. By the fundamental theorem of calculus, the velocity function is
The particle starts at rest, so 
, and we have
Then the position function is
with 
, so
b. The particle is at rest whenever 
; this happens for
where 
is any integer.
Answer: The distance circle center to mid-chord will be x/2, half the length of the first chord.
Step-by-step explanation:
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
