345 i love your mom and I love your hair
Answer:
The answer to your question is Triangle's area = 520 in², Square's area = 576 in²
Step-by-step explanation:
Process
1.- Calculate the area of the triangle
-Find the length of the base using the Pythagorean theorem
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 37² - 35²
-Simplification
b² = 1369 - 1225
b² = 144
b = 12 in
-Find the base
base = 2(12) = 24 in
-Find the area of the triangle
Area = base x height / 2
-Substitution
Area = 24 x 35 / 2
-Simplification
Area = 420 in²
2.- Find the area of the square
Area = side x side
-Substitution
Area = 24 x 24
-Result
Area = 576 in²
Step-by-step-explanation
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A. neither a function nor a relation
Answer:
![6,430\ bacteria](https://tex.z-dn.net/?f=6%2C430%5C%20bacteria)
Step-by-step explanation:
we have a exponential function of the form
![y=a(1+r)^{x}](https://tex.z-dn.net/?f=y%3Da%281%2Br%29%5E%7Bx%7D)
where
y is the population of bacteria
a is the initial value
r is the rate of growth
x is the number of hours
we have
a=3,000 bacteria
![y=3,000(1+r)^{x}](https://tex.z-dn.net/?f=y%3D3%2C000%281%2Br%29%5E%7Bx%7D)
For x=2, y=3,300
substitute
![3,300=3,000(1+r)^{2}](https://tex.z-dn.net/?f=3%2C300%3D3%2C000%281%2Br%29%5E%7B2%7D)
![(3,300/3,000)=(1+r)^{2}](https://tex.z-dn.net/?f=%283%2C300%2F3%2C000%29%3D%281%2Br%29%5E%7B2%7D)
Apply square root both sides
![1+r=\sqrt{3.3/3}](https://tex.z-dn.net/?f=1%2Br%3D%5Csqrt%7B3.3%2F3%7D)
![r=\sqrt{3.3/3}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B3.3%2F3%7D-1)
![r=0.0488](https://tex.z-dn.net/?f=r%3D0.0488)
![r=4.88\%](https://tex.z-dn.net/?f=r%3D4.88%5C%25)
substitute in the equation
![y=3,000(1+0.0488)^{x}](https://tex.z-dn.net/?f=y%3D3%2C000%281%2B0.0488%29%5E%7Bx%7D)
![y=3,000(1.0488)^{x}](https://tex.z-dn.net/?f=y%3D3%2C000%281.0488%29%5E%7Bx%7D)
<u><em>Predict how many bacteria will be present after 16 hours</em></u>
For x=16 hours
substitute
![y=3,000(1.0488)^{16}](https://tex.z-dn.net/?f=y%3D3%2C000%281.0488%29%5E%7B16%7D)
![y=6,430\ bacteria](https://tex.z-dn.net/?f=y%3D6%2C430%5C%20bacteria)