Answer:
7 +1/5x ≥ 10 +1/10x . . . . . lower left picture of those shown here
Step-by-step explanation:
Caroline's hair length in inches can be expressed as ...
c = 7 + 1/5x . . . . after x months
Trinity's hair length in inches can be expressed as ...
t = 10 + 1/10x . . . . after x months
When Caroline's hair is at least as long as Trinity's, we have ...
![c\ge t\\\\\boxed{7+\dfrac{1}{5}x\ge 10+\dfrac{1}{10}x}](https://tex.z-dn.net/?f=c%5Cge%20t%5C%5C%5C%5C%5Cboxed%7B7%2B%5Cdfrac%7B1%7D%7B5%7Dx%5Cge%2010%2B%5Cdfrac%7B1%7D%7B10%7Dx%7D)
Answer:
(1/6)(x-2)(x-3)(x-5)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the triangles share one angle and they have two equal sides
Answer:
The slope is -3/2 (
)
Step-by-step explanation:
I hope this helps! :)
Answer:
11505 bacteria
Step-by-step explanation:
Given :
The bacteria in a certain culture triples every 7.7 hours. The culture has 6,500 bacteria at the start .
As per the exponential growth , we have ![A=P_0\left ( R \right )^{\frac{T}{P}}](https://tex.z-dn.net/?f=A%3DP_0%5Cleft%20%28%20R%20%5Cright%20%29%5E%7B%5Cfrac%7BT%7D%7BP%7D%7D)
Here ,
is starting number of bacteria
R is rate at which number of bacteria increases
T is time elapsed
P is one period of rate
![P_0 = 6500\\R=3\\T=4\\P=7.7](https://tex.z-dn.net/?f=P_0%20%3D%206500%5C%5CR%3D3%5C%5CT%3D4%5C%5CP%3D7.7)
On putting these values in formula
, we get
![A=P_0\left ( R \right )^{\frac{T}{P}}\\=6500\left ( 3 \right )^{\frac{4}{7.7}}\\ \approx 6500\left ( 3 \right )^{0.5195}\\=6500\times 1.77\\=11505](https://tex.z-dn.net/?f=A%3DP_0%5Cleft%20%28%20R%20%5Cright%20%29%5E%7B%5Cfrac%7BT%7D%7BP%7D%7D%5C%5C%3D6500%5Cleft%20%28%203%20%5Cright%20%29%5E%7B%5Cfrac%7B4%7D%7B7.7%7D%7D%5C%5C%20%5Capprox%206500%5Cleft%20%28%203%20%5Cright%20%29%5E%7B0.5195%7D%5C%5C%3D6500%5Ctimes%201.77%5C%5C%3D11505)
So, the culture will contain 11505 bacteria after four hours .