Answer:
12.54 cm, 14.63 cm, 18.81 cm
Step-by-step explanation:
6x + 7x + 9x = 46 cm
22 x = 46 cm
x = 2.09
So the sides are:
12.54 cm, 14.63 cm, 18.81 cm
Answer:
The size of the sample after four hours is of 3158 bacteria.
Step-by-step explanation:
The population after t hours can be modeled by the continuous exponential growth model, which is:
![P(t) = P(0)e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29e%5E%7Brt%7D)
In which P(0) is the initial population and r is the growth rate paremeter.
A growth rate parameter of 17% per hour.
This means that ![r = 0.17](https://tex.z-dn.net/?f=r%20%3D%200.17)
Suppose also that a sample culture of 1600 is obtained from this population.
This means that ![P(0) = 1600](https://tex.z-dn.net/?f=P%280%29%20%3D%201600)
Find the size of the sample after four hours.
This is P(4).
![P(t) = P(0)e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29e%5E%7Brt%7D)
![P(t) = 1600e^{0.17t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%201600e%5E%7B0.17t%7D)
![P(4) = 1600e^{0.17*4}](https://tex.z-dn.net/?f=P%284%29%20%3D%201600e%5E%7B0.17%2A4%7D)
![P(4) = 3158.2](https://tex.z-dn.net/?f=P%284%29%20%3D%203158.2)
Rounding to the nearest integer
The size of the sample after four hours is of 3158 bacteria.
Answer:
cosine rule - cos = ![\frac{a}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bh%7D)
Step-by-step explanation:
Here the ladder is acting as hypotenuse and base as adjacent.
Formula: cosθ = ![\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
Six tenths. Hope that helps
Answer:
High negative
Step-by-step explanation:
The dots are close together and they are going down left to right indicating it’s negative