Answer:
![\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-12%26-13%2613%26%7C15%5C%5C7%26-10%26-3%26%7C11%5C%5C7%2614%265%26%5C%3A%5C%3A%5C%3A%7C-5%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The system of equations is;
-12x-13y +13z =15
7x-10y-3z = 11
7x+14y +5z = -5
The coefficient matrix is ![\left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-12%26-13%2613%5C%5C7%26-10%26-3%5C%5C7%2614%265%5Cend%7Barray%7D%5Cright%5D)
The constant matrix is ![\left[\begin{array}{c}15\\11\\-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C11%5C%5C-5%5Cend%7Barray%7D%5Cright%5D)
The augmented matrix is
Answer:
Step-by-step explanation
Note that
Interest is represented by I=1326
The principal is represented by P=47,600
Rate is R =4%
And Time is year
Interest is calculated using the formulae,
I =PRT/100
From the above formulae, time can be calculated as
T=100I/PR
T= 100×1326/(47600×4)
T= 132600/190400
T= 0.6964 years
To convert to days, multiply by 365(since those no of days make a year)
T= 0.6964×365=254 days
This was approximated to the nearest day
Answer is 254 days
Triangles add to 180° and there is already 100° shown inside of the triangle (30° plus 70° = 100°). 180° -100° = 80°, which is x. X and y are vertical angles, so y is also 80°. The answer is B.
Answer:
A. 18.2
Step-by-step explanation:
b^2 + 14^2 = 23^2
b = sqrt(333) = 18.248
Answer:
- April
- She did not pack enough layers of centimeter cubes
- 240 cubic centimeters
Step-by-step explanation:
Dimensions of the prism is 5x8x6
April made a mistake, she packed 4 layers of unit cubes instead of 5 layers
<u>Correct volume of the prism is:</u>
<u>Correct answer choices:</u>
- April
- She did not pack enough layers of centimeter cubes
- 240 cubic centimeters
