a crystal that is 0.12 millimeters long appears to be 60 millimeters long under a microscope what is the power of the microscope
1 answer:
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Answer:
x=-1/85; y=-283/85; z=2/17
Step-by-step explanation:
Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:
To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:
By applying the Gaussian elimination, the final matrix is the following:
In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:
Answer:
The least possible score a team could have earned is 3.
Step-by-step explanation:
From the given information it is clear that the total number of teams is 3.
Total number of members in each team is 3.
A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5.
It means the points for 1st, 2nd, 3rd, 4th, and 5th place are 5, 4, 3, 2 and 1 respectively.
Total points that can be earned all teams together = 5+4+3+2+1=15
There were no ties, disqualifications, or withdrawals.
To minimize the score of a team, we have to maximize the score of the other two teams.
It is given that no team earned more than 6 points,
Let two teams earn there maximum score. i.e. 6. So the score of third team is
Therefore, the least possible score a team could have earned is 3.