Answer:
A. g=11
Step-by-step explanation:
We want to find which choice makes the equation true. Let's plug in each answer choice.
A. g=11
26=7(11-9)+12
26= 7(2)+12 Solve inside the parentheses.
26= 14+12 Multiply 7 and 2.
26= 26 Add 14 and 12.
This answer must be correct, but let's check the other choices .
B. g=12
26=7(12-9)+12
26= 7(3)+12 Solve inside the parentheses.
26= 21+12 Multiply 7 and 3.
26≠33 Add 14 and 12.
This choice is not correct.
C. g= 13
26=7(13-9)+12
26= 7(4)+12 Solve inside the parentheses.
26= 28+12 Multiply 7 and 4.
26≠40 Add 28 and 12.
This is also not correct.
D. g= 14
26=7(14-9)+12
26= 7(5)+12 Solve inside the parentheses.
26= 35+12 Multiply 7 and 5.
26≠47 Add 35 and 12.
This choice is not correct either.
The value of g that make the expression 26=7(g-9)+12 a true statement is A. g=11.
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
Answer:
$7.10
Step-by-step explanation:
0.71 x 10= 7.10
For this case we have:
Note:<em> Milliliter is a unit of volume. It is not possible to convert distance units into volume units.
</em>
We must convert the length 0.13 meters to millimeters.
By definition, 1 meter equals 1000 millimeters. That is to say:
![1m = 1000mm](https://tex.z-dn.net/?f=1m%20%3D%201000mm)
Then, applying the rule of three we have:
1m ------------> 1000mm
0.13m --------> x
Where x represents the length of the marker in millimeters.
Resolving:
![x = \frac {(0.13 * 1000)} {1}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B%280.13%20%2A%201000%29%7D%20%7B1%7D)
![x = \frac {130} {1}\\x = 130](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B130%7D%20%7B1%7D%5C%5Cx%20%3D%20130)
Thus, the marker measures 130 millimeters long
Answer:
130 millimeters
Answer:
20.3
Step-by-step explanation:
1 ml = 0.202884 teaspoons
divide 100 by 0.202884 and you should get your answer
![\frac{100}{0.202884} =20.2884](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B0.202884%7D%20%3D20.2884)
round it to get 20.3
Hope I helped :)