The dimensions in inches of a shipping box at You Bring It, We Ship It can be expressed as width x, length x + 5, and height 3x
2 answers:
<span>
By definition we have that the volume is given by:
</span>
<span> Where,
w: with
l: length
h: height
Substituting values we have:
</span>
<span> Rewriting:
</span>
<span> We look for the roots of the polynomial:
</span>
<span> We discard the negative roots because we want to find dimensions.
Thus, the dimensions are:
</span>
<span> Answer:
the dimensions in inches are:
w = 10.2 inches
l = 70.2 inches
h = 18.6 inches
</span>
By definition we have that the volume is given by:
</span>
<span> Where,
w: with
l: length
h: height
Substituting values we have:
</span>
<span> Rewriting:
</span>
<span> We look for the roots of the polynomial:
</span>
<span> We discard the negative roots because we want to find dimensions.
Thus, the dimensions are:
</span>
<span> Answer:
the dimensions in inches are:
w = 10.2 inches
l = 70.2 inches
h = 18.6 inches
</span>
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The mass of radioactive material remaining after 50 years would be 48.79 kilograms
<h3>How to determine the amount</h3>It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.
Given the radioactive decay formula as
m(t)=120e−0.018t
Where
t= 50 years
m(t) is the remaining amount
Substitute the value of t
Find the exponential value
m(t) = 48.788399
m(t) = 48.79 kilograms to 2 decimal places
Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms
Learn more about half-life here:
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