On all sides of a triangle it’s about 7 inches
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)
Answer:
5) 8/17 = .471
7) 8/17 = .471
8) 15/17 = .88
Step-by-step explanation:
hope that helps
we are ratio as
![=\frac{3}{7}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%7D%7B7%7D)
It will be equivalent to only those terms which would be multiple of this term
so, we will multiply top and bottom term by 5
and we get
![=\frac{3\times 5}{7\times 5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%5Ctimes%205%7D%7B7%5Ctimes%205%7D)
![=\frac{15}{7\times 5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B15%7D%7B7%5Ctimes%205%7D)
![=\frac{15}{35}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B15%7D%7B35%7D)
so, it is very similar to 12/35
so, it will be equivalent to 12/35
so, option-C.......Answer
For #1 the perimeter if the rectangle would be like 4 vertical and 2 horizontal and the area is 4 x 2= 8
<span>for #2 the first a is 24 the second one for a is 27 the first one for b is 24 and the second one is 35</span>