Answer:
<h2>
y=6</h2>
solution,
Similar Right triangles:
![\frac{c}{h} = \frac{h}{d} \\ {h}^{2} = cd \\ {y}^{2} = 4 \times 9 \\ {y = 36 }^{2} \\ y = \sqrt{ {(6)}^{2} } \\ y = 6](https://tex.z-dn.net/?f=%20%5Cfrac%7Bc%7D%7Bh%7D%20%20%3D%20%20%5Cfrac%7Bh%7D%7Bd%7D%20%20%5C%5C%20%20%7Bh%7D%5E%7B2%7D%20%20%3D%20cd%20%5C%5C%20%20%7By%7D%5E%7B2%7D%20%20%3D%204%20%5Ctimes%209%20%5C%5C%20%20%7By%20%3D%2036%20%7D%5E%7B2%7D%20%20%5C%5C%20y%20%3D%20%20%5Csqrt%7B%20%7B%286%29%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20y%20%3D%206)
Hope this helps..
Good luck on your assignment..
There would be 5 sessions of 12 minutes to reach 60 minutes, or 1 hour meaning...
5 (sessions) x 50 (hotdogs per session of 12 minutes) = 250 (total hotdogs in one hour)
So, Takaru would eat 250 hotdogs in an hour.
For this case we have a function of the form:
![y = A * (b) ^ x](https://tex.z-dn.net/?f=%20y%20%3D%20A%20%2A%20%28b%29%20%5E%20x%20%20)
Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:
![b = 2](https://tex.z-dn.net/?f=%20b%20%3D%202%20%20)
We must now look for the value of A.
To do this, we evaluate an ordered pair of the graph:
For (1, 2):
![2 = A * (2) ^ 1](https://tex.z-dn.net/?f=%202%20%3D%20A%20%2A%20%282%29%20%5E%201%20%20)
Clearing A we have:
![2 = A * 2](https://tex.z-dn.net/?f=%202%20%3D%20A%20%2A%202%20%20)
![A = \frac{2}{2}\\A = 1](https://tex.z-dn.net/?f=%20A%20%3D%20%5Cfrac%7B2%7D%7B2%7D%5C%5CA%20%3D%201%20%20%20)
Then, the function is given by:
![y = 1 * (2) ^ x](https://tex.z-dn.net/?f=%20y%20%3D%201%20%2A%20%282%29%20%5E%20x%20%20)
For after 9 hours we have:
![y = 1 * (2) ^ 9\\y = 512](https://tex.z-dn.net/?f=%20y%20%3D%201%20%2A%20%282%29%20%5E%209%5C%5Cy%20%3D%20512%20%20)
Answer:
the diameter of the bacteria after 9 hours is:
![y = 512](https://tex.z-dn.net/?f=%20y%20%3D%20512%20)
amount of interest = $2625
total value of the account = $6125
Answer:
Width = 5.91m
Length: 7.1m
Step-by-step explanation:
Width: x
Length: 1.2x
2x + 2(1.2x) = 26m
2x + 2.4x = 26m
4.4x = 26m
x = 26m/4.4
x = 5.91