The chicken coup at the petting farm is 10 by 14 feet. The farm would like to double the current area
1 answer:
Answer:
14.85 feet & 18.85 feet
Step-by-step explanation:
This is a rectangle with area 10 * 14 = 140 sq. ft.
We want new rectangle to be DOUBLE this area, so that area would be:
140 * 2 = 280 sq. ft.
We will add same amount, x, to both length and width, to get 280. Lets do this and find x. [note: length * width = area]
Area = length * width
280 = (10+x)*(14+x)
280 = 140 + 10x + 14x + x^2
0 = -140 + 24x + x^2
We can solve this by using middle term factorization:
So, we need to add around 4.85 feet to both length and width
New dimensions are 14.85 feet & 18.85 feet
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Answer:
Every hour, the medicine concentration decays by a factor of 4%.
Step-by-step explanation:
The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:
The decay function is:
Here,
<em>y</em> = final amount
<em>a </em>= initial amount
<em>r</em> = decay rate
<em>t</em> = time
From the provided expression the decay rate is:
Thus, every hour, the medicine concentration decays by a factor of 4%.