Answer:
2.5 half-lives
Step-by-step explanation:
Find 
in 
given 
is the amount after the time 
, 
`is the initial amount, is the half-life
We know that after half-life there will be twice less the initial quantity:
.
Simplifying gives 
Plugging this into the initial equation, we obtain that 
or 
Finally, just plug in the given values and find the unknown one.
From 
, we have that 
= 
So you should get: 
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The maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
<h3>How to determine the diameter</h3>
The formula for area of a sphere is expressed as;
Area = 4 πr²
If Selim paid $2 per square foot and have a maximum of $20 per square
The area he can purchase is;
= $20/$2
= 10$
Substitute the value into the formula
10 = 4πr²
10 = 4 × 3. 142 × r²
10 = 12. 568r²
Make 'r²' the subject
r² = 10/ 12. 568
r² = 0. 79
Find the square root of both sides
r = √0. 79
r = 0. 89
But diameter = 2(radius)
Diameter = 2 × 0. 89 = 1. 78 ft
Thus, the maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
Learn more about spheres here:
brainly.com/question/10171109
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Answer:
1.5326
Step-by-step explanation:
there is no more simplification it can only be calculated by a calculator
