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.
Answer:
B
Step-by-step explanation:
it would be shifted up
Answer:
fourteen billion seven hundred ninety millio
Benny started out with 80 Baseball cards.
36 x 2 + 8
Answer:
m = 10 , n = 5
Step-by-step explanation:
using the cosine and tangent ratio in the right triangle and the exact values
cos45° = 
and tan45° = 1 , then
cos45° = 
= 
= ( cross- multiply )
m = 5 × = 5 × 2 = 10
-----------------------------------------
tan45° = 
= 
= 1 , then
n = 5
