Answer:
0.319 m³/s
Step-by-step explanation:
Data provided:
Initial volume in the river = 255 m³
Final volume required in the storage = 325 m³
Average outflow = 0.30 m³/s
Duration for raising the level = 1 hour = 3600 seconds
Now,
The actual volume required to raise the volume to 325 m³
= Final volume - Initial volume
= 325 m³ - 255 m³
= 70 m³
also,
the amount of outflow in 1 hour = Average rate of outflow × Time
= 0.30 m³/s × 3600 s
= 1080 m³
Therefore,
the total volume required = 1080 m³ + 70 m³ = 1150 m³
Now,
the average rate of inflow required = 
= 
= 0.319 m³/s
Consider the operation is 
.
Given:
The augmented matrix below represents a system of equations.
![\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft.%5Cbegin%7Bmatrix%7D1%260%261%5C%5C1%263%26-1%5C%5C3%262%260%5Cend%7Bmatrix%7D%5Cright%7C%5Cbegin%7Bmatrix%7D-1%5C%5C-9%5C%5C-2%5Cend%7Bmatrix%7D%5Cright%5D)
To find:
Matrix results from the operation .
Step-by-step explanation:
We have,
After applying , we get
![\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft.%5Cbegin%7Bmatrix%7D1%260%261%5C%5C-3%281%29%26-3%283%29%26-3%28-1%29%5C%5C3%262%260%5Cend%7Bmatrix%7D%5Cright%7C%5Cbegin%7Bmatrix%7D-1%5C%5C-3%28-9%29%5C%5C-2%5Cend%7Bmatrix%7D%5Cright%5D)
![\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft.%5Cbegin%7Bmatrix%7D1%260%261%5C%5C-3%26-9%263%5C%5C3%262%260%5Cend%7Bmatrix%7D%5Cright%7C%5Cbegin%7Bmatrix%7D-1%5C%5C27%5C%5C-2%5Cend%7Bmatrix%7D%5Cright%5D)
Therefore, the correct option is A.
The domain is the X values and the range is the y values.
The blue line starts at X 0 and Y 0 and moves up and to the right.
This means the range and domain are equal to or greater than 0.
The 3rd choice is the correct one.
Answer:
km
Step-by-step explanation:
We are given;
- The are of a rectangle as 7/10 km²
- Width of the rectangle is 1/3 km
We are required to find the length of the rectangle;
We need to know how to find the area of a rectangle first;
Area of rectangle = Length × Width
Rearranging the formula;
Length = Area of rectangle ÷ Width
= 7/10 km² ÷ 1/3 km
We get;
(improper fraction)
Thus, the length of the rectangular park is km
Answer:
1/4
Step-by-step explanation:
2/8 is 1/4 and 1/2 is 2/4, subtract and you get 1/4.
