Area are all sides multiplied the formula can be found online
Answer:
140
Step-by-step explanation:
<u>As per picture:</u>
∠PTQ and ∠RTS are vertical angles and they are equal
- ∠PTQ = (x + 28)°
- ∠RTS = (2x + 16)°
- ∠PTQ = ∠RTS
- x + 28 = 2x + 16
- 2x - x = 28 - 16
- x = 12
∠PTR is supplementary with ∠PTQ and their sum is 180°
- ∠PTQ = 12 + 28 = 40°
- ∠PTR = 180 - 40 = 140°
Answer:
The temperature of the chemical solution after t hours is ![-14.96-2.9t\;^{\circ}C](https://tex.z-dn.net/?f=-14.96-2.9t%5C%3B%5E%7B%5Ccirc%7DC)
Step-by-step explanation:
Given that the initial temperature of the chemical solution,
.
The rate of decreasing temperature, ![R = 2.9^{\circ}C/ hour](https://tex.z-dn.net/?f=R%20%3D%202.9%5E%7B%5Ccirc%7DC%2F%20hour)
So, after t hours, the temperature of the chemical solution will decrease by
.
So, the temperature of the chemical solution after t hours,
![T=T_0-Rt \\\\\Rightarrow T = -14.96-2.9t\;^{\circ}C](https://tex.z-dn.net/?f=T%3DT_0-Rt%20%5C%5C%5C%5C%5CRightarrow%20T%20%3D%20-14.96-2.9t%5C%3B%5E%7B%5Ccirc%7DC)
Hence, the temperature of the chemical solution after t hours is
.
Answer:
A. ![\left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.93%260.07%26%5C%5C0.01%260.99%26%5Cend%7Barray%7D%5Cright%5D)
B. (0.85 0.15)
C. 79.2% population in the city while 20.8% population in the suburb
Step-by-step explanation:
(a) The transition matrix for the information is
C S
(b) the probability vector for the information is
![(\frac{85}{100} \ \ \frac{15}{100} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B85%7D%7B100%7D%20%20%5C%20%5C%20%20%20%5Cfrac%7B15%7D%7B100%7D%20%29)
and this gives us
(0.85 0.15)
(c) we simply multiply the above two matrices to find the percent of the population can be expected to be in each category after one year after
in the city there are 79.2% while in the suburb, there are 20.8%
D. 4 hours. I would like brainlies please, so I can reach my new rank EXPERT. Thanks ~Angel411.