To find the number of half lives divide the total number of days by the number of days for 1 half live:
1104 / 138 = 8
There are 8 half lives.
To find the total amount left multiply the starting amount by 1/2 to the 8th power:
38 * 0.5^8 = 0.148 = 0.15 grams
The answer is the last one.
Answer:
a) d= 2x + (54/x)
b) x = √27 m ≈ 5.2 m
Step-by-step explanation:
a) Given
The average number of drops = n
Height in meters from the point where the whelk is dropped = x
If n(x) = 1 + (27/x²)
Then, the total vertical distance the crow travels upward to open a whelk is the height (x) times the average number of times the crow has to fly upwards to try again
d = 2xn = 2x*(1 + (27/x²)) = 2x + (54/x)
b) To minimize the distance consider the first derivative
d' = (2x + (54/x))' = 2 - (54/x²)
and d' = 0 give us (x must be positive)
2 - (54/x²) = 0 ⇒ x = √27 m ≈ 5.2 m
Answer:
1489.2
Step-by-step explanation:
9*102-5.6*102=
102(9+5.6) =
102(9.0+5.6) =
102(14.6) =
102*14.6=
14.6*(100+2) =
(14.6*100+14.6*2) =
(1460+(14+.6) *2) =
1460+(28+1.2) =
1460+(28.0+1.2) =
1460+29.2=
1460.0+
29.2
=1489.2