Answer:
[Tex] \:/:/://///////////////////////////////////////::::::::::::::::::::::::::::::::7474838383+$83+
Answer = fracfracfracfrac tex tex????????????
Answer: 1️⃣ 40
Step-by-step explanation:
<em>x - is the side of the square</em>
<em />![x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bx%5E%7B2%7D%20%20%20%3D%2810%5Csqrt%7B2%7D%29%5E%7B2%7D%20%20%5C%5C2x%5E%7B2%7D%7D%20%20%3D200%5C%5C2x%5E%7B2%7D%20%5Cdiv%20%202%3D200%20%5Cdiv%20%202%20%5C%5Cx%5E%7B2%7D%20%3D100%5C%5Cx%3D%5Csqrt%7B100%7D%20%5C%5Cx%3D10%20%5C%3A%20%20%5Bcm%5D%20-%20side%20%5C%3A%20of%20%20%5C%3A%20a%20%5C%3A%20square)
<em />
<em>Find the perimeter of the square.</em>
<em>Perimeter of the square = 4 × 10 cm = 40 cm</em>
<em />
Answer:
After 8 hour there will be 317.64 pounds of algae.
y-intercept: (0, 50)
Step-by-step explanation:
At time = 0 hours, there are 50 pounds of algae, after 3 hour there will be 100 pounds of algae, after 6 hour there will be 200 pounds of algae, and so on.
Exponential growth is modeled by the following equation:
y = x0*(1 + r)^t
where x0 is the amount of algae at the beginning, r is the rate of change, and y is the amount of algae after t hours. Replacing with data:
100 = 50*(1 + r)^3
2 = (1 + r)^3
ln(2) = 3*ln(1 + r)
r = exp(ln(2)/3) - 1
r = 0.26
This result can be checked as follows
y = 50*(1 + 0.26)^6 = 200
After 8 hours:
y = 50*(1 + 0.26)^8 = 317.64
The y-intercept corresponds to t = 0
y = 50*(1 + 0.26)^0 = 50
