<span>(1/2)n = 0.015625
n log 0.5 = log 0.015625
n = log 0.5 / log 0.015625
n = 6</span><span>24 days / 6 half-lives = 4.00 days (the length of the half-life)
</span>
Answer:one-half x units
Step-by-step explanation:
Given
Prism has a square base with length 
If the volume of prism 
We know

Base area 



If we let x as candy A
y as candy B
a as dark chocolate in candy a
b as dark chocolate in candy b
c as caramel
d as walnut
P as profit
we have the equations:
a + c = x
2b + d = y
a + 2b ≤ 360
c ≤ 430
d ≤ 210
P = 285x + 260y
This is an optimization problem which involves linear programming. It can be solved by graphical method or by algebraic solution.
P = 285(a + c) + 260(2b +d)
If we assume a = b
Then a = 120, 2b = 240
P = 285(120 + 120) + 260(240 + 120)
P = 162000
candy A should be = 240
candy B should be = 360
Answer:
16 in.
Step-by-step explanation:
We have the ratio
How about let's make this easier. Easier is better, right? Let's get rid of the fraction 2/3. We will do that by multiplying 2/3 by 3 and 1 by 3 to get the equivalent ratio of
Now we need to know how many inches there would be if the number of feet is 24:
Cross multiply to get
3x = 48 so
x = 16 in.