Make a conjecture.
The determinant of the given matrix is 8+4xz-8y. Therefore, the determinant depends on the variable.
Determinants are considered as a scaling factor of matrices. They can be considered as functions of stretching out and the shrinking in of the matrices. Determinants take a square matrix as the input and return a single number as its output.
The given matrix is
The determinant of 3×3 matrix can be find using
|C|= a₁(b₂c₃−b₃c₂)−b₁(a₂c₃−a₃c₂)+c₁(a₂b₃−a₃b₂)
Now, 1(2×4-z×0)-0(x×4-y×0)+4(x×z-y×2)
= 8+4xz-8y
The determinant of the given matrix is 8+4xz-8y. Therefore, the determinant depends on the variable.
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Answer:
det = 8
Step-by-step explanation:
1(8 - 0) - x(0 - 0) + y(0 - 0)
= 8
182 divided by 7= 26
the old virus program scanned at 26 megabytes per second
35-26= 9
the new anti-virus program is 9megabytes per second faster than the old program
(if looking for percentage increase/decrease read on)
formula=new subtract old divided by old times 100
((35-26) divided by 26)(100)
(9 divided by 26)(100)
0.34615(100)
34.62% increase
the new virus program is 34.62% faster than the old one
Use pi star times = 3.14.
Express your final answer to the nearest hundredth.
The solution of the number for the given condition x% of 56 is the number 14 is 4%
Used the concept of percentage which states that,
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Given that,
The x% of 56 is the number 14.
Now, we can write a mathematical expression as,
x% of 56 is 14.
Multiply both sides by 100,
So, we get;
4% of 56 = 14
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Answer:
C
Step-by-step explanation:
Consider the number of triangles in each diagram
1 → 1 →
2 → 2 →
3 → 4 → 2²
4 → 8 → 2³
The pattern of triangles is 1, 2, 4, 8, that is
, , 2², 2³
Note that the exponent is one less than the figures position in the pattern, thus
= → C