Answer:
4 parameters are necessary to specify all solutions and correspond to the number of free variables of the system.
Step-by-step explanation:
Remember that the number of free variables of a system is equal to m-rank(A) where m is the number of unknowns variables and A is the matrix of the system.
Since the system is consistent and the rank of the matrix is 3 then echelon form of the augmented matrix has two rows of zeros.
Then m-rank(A)=7-3=4.
Problem
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.
By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.
Solution
the volume of a cylinder is given by:
We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:
And the new volume would increase about 52%
Answer: D) 18
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Explanation:
|-11| simplifies to 11
|-7| simplifies to 7
Whatever is inside the absolute value, you just remove the negative and that's the result of that absolute value expression. It represents the distance on a number line. So for instance -11 is 11 units from 0, which is why |-11| = 11.
Overall,
|-11| + |-7| = 11 + 7 = 18
Answer:
-55
Step-by-step explanation:
2nd term=> -1 + -2 × (2 - 1)
3rd term=> -1 + -2 × (3 - 1)
:
28th term=> -1 + -2 × (28 - 1)
=> -1 - 54 = -55
Hello
the point-slope equation of the line with slope -13 that goes through the point (5, 7) is : <span>A) y - 7 = -13(x - 5)
because ; 7-7= -13(5-5)</span>
