Answer:
answer is B
Step-by-step explanation:
please I need brainlist
Answer:
60.5% chance
Step-by-step explanation:
it is 23/38, since there are 23 girls and 38 ppl in total
Using the inverse function, it is found that the equation is:
![P(t) = \frac{e^{0.1t}}{50} + 20](https://tex.z-dn.net/?f=P%28t%29%20%3D%20%5Cfrac%7Be%5E%7B0.1t%7D%7D%7B50%7D%20%2B%2020)
It's initial value is 20.
---------------------------
We want to find the inverse of:
![y = P^{-1}(t) = 10\ln{50t - 1000}](https://tex.z-dn.net/?f=y%20%3D%20P%5E%7B-1%7D%28t%29%20%3D%2010%5Cln%7B50t%20-%201000%7D)
To do this, we <u>exchange y and t, and isolate y.</u>
Then:
![10\ln{50y - 1000} = t](https://tex.z-dn.net/?f=10%5Cln%7B50y%20-%201000%7D%20%3D%20t)
![\ln{50y - 1000} = \frac{t}{10}](https://tex.z-dn.net/?f=%5Cln%7B50y%20-%201000%7D%20%3D%20%5Cfrac%7Bt%7D%7B10%7D)
![e^{\ln{50y - 1000}} = e^{0.1t}](https://tex.z-dn.net/?f=e%5E%7B%5Cln%7B50y%20-%201000%7D%7D%20%3D%20e%5E%7B0.1t%7D)
![50y - 1000 = e^{0.1t}](https://tex.z-dn.net/?f=50y%20-%201000%20%3D%20e%5E%7B0.1t%7D)
![50y = e^{0.1t} + 1000](https://tex.z-dn.net/?f=50y%20%3D%20e%5E%7B0.1t%7D%20%2B%201000)
![y = \frac{e^{0.1t} + 1000}{50}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Be%5E%7B0.1t%7D%20%2B%201000%7D%7B50%7D)
![y = \frac{e^{0.1t}}{50} + \frac{1000}{50}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Be%5E%7B0.1t%7D%7D%7B50%7D%20%2B%20%5Cfrac%7B1000%7D%7B50%7D)
![P(t) = \frac{e^{0.1t}}{50} + 20](https://tex.z-dn.net/?f=P%28t%29%20%3D%20%5Cfrac%7Be%5E%7B0.1t%7D%7D%7B50%7D%20%2B%2020)
It's initial value is:
![P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02](https://tex.z-dn.net/?f=P%280%29%20%3D%20%5Cfrac%7Be%5E%7B0.1%280%29%7D%7D%7B50%7D%20%2B%2020%20%3D%200.02%20%2B%2020%20%3D%2020.02)
Rounding, 20.
A similar problem is given at brainly.com/question/23950969
Answer:
True, A linear equation determines a line in the xy-plane.
Step-by-step explanation:
A linear equation is in the form of Px + Qy = R where P , Q and R are constants.
Let us take an example 2x +3y = 6
When we plot the above equation in graph we get a line in xy plane.(as shown below) Since, there are two variables, x and y, then will it be possible, only on the xy plane.
It is also clear from the graph that linear equation shows the relation between x and y axis. Thus, it is true to say a linear equation determines a line in the xy-plane.
Answer:
The number N of bacteria in a refrigerated food is given by N(T) = 10T^2 - 20T + 600, 2 ≤ T ≤ 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 3t + 2, 0 ≤ t ≤ 6 where t is the time in hours.
Step-by-step explanation: