Answer:
what does that mean
Step-by-step explanation:
Step 1
Formulate a recursive sequence modeling the number of grams after n minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829
a(n) = 780*[0.829<span>^n]
</span>
for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g
the answer is 22.1 g
Answer:
Option (b) is the answer.
Step-by-step explanation:
If two distinct lines intersect
Then they are not parallel because parallel lines never intersect they go hand in hand
But since, we need to tell which is not true
So, option A is discarded.
Option (c) and (d) are also true hence, discarded.
Option (b) is correct that is the lines are perpendicular this is not true. hence, considered
Therefore, option (b) is the answer.
Answer:
x = 5
Step-by-step explanation:
2x + 8 = 18
2x = 10
x= 5
Answer:
Yes, it is invertible
Step-by-step explanation:
We need to find in the matrix determinant is different from zero, since iif it is, that the matrix is invertible.
Let's use co-factor expansion to find the determinant of this 4x4 matrix, using the column that has more zeroes in it as the co-factor, so we reduce the number of determinant calculations for the obtained sub-matrices.We pick the first column for that since it has three zeros!
Then the determinant of this matrix becomes:
![4\,*Det\left[\begin{array}{ccc}1&4&6\\0&3&8\\0&0&1\end{array}\right] +0+0+0](https://tex.z-dn.net/?f=4%5C%2C%2ADet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%264%266%5C%5C0%263%268%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20%2B0%2B0%2B0)
And the determinant of these 3x3 matrix is very simple because most of the cross multiplications render zero:
![Det\left[\begin{array}{ccc}1&4&6\\0&3&8\\0&0&1\end{array}\right] =1 \,(3\,*\,1-0)+4\,(0-0)+6\,(0-0)=3](https://tex.z-dn.net/?f=Det%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%264%266%5C%5C0%263%268%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20%3D1%20%5C%2C%283%5C%2C%2A%5C%2C1-0%29%2B4%5C%2C%280-0%29%2B6%5C%2C%280-0%29%3D3)
Therefore, the Det of the initial matrix is : 4 * 3 = 12
and then the matrix is invertible