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# Tutor profile: Trent R.

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Trent R.
Private Tutor and Tutor of Choice for Foothill Technology High School and Pacifica High School
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## Questions

### Subject:Basic Chemistry

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Question:

Part 1: Balance the chemical equation. _____ P4 + _____ O2 -> ______ P2O3 Part 2: If 5.3 grams of P4 is used for the reaction with oxygen, how much P2O3 is produced in mols. Part 3: Given the previous answer, find out how many molecules of P2O3 has been produced.

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Trent R.

### Subject:Algebra

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Question:

Preform the matrix operation 5A - 2B on the following matrices: A = [ 7 3 -4 -1] and B = [ 9 6 3 10]

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Trent R.

It is first important to remember how we distribute a coefficient to a matrix. Fortunately for us, this task is rather simple and only involves distributing the coefficient to every element in the matrix. The first step, then, in our solution of the previous problem is to begin the problem by writing out a roadmap to help guide us piece by piece through the problem. Roadmap: 5A - 2B = 5 [ 7 3 - 2 [ 9 6 -4 -1 ] 3 10 ] Now, let us first distribute each coefficient to the respective matrix separately: 5 [ 7 3 = [ 5(7) 5(3) -4 -1 ] 5(-4) 5(-1) ] = [ 35 15 -20 -5 ] 2 [ 9 6 = [ 2(9) 2(6) 3 10] 2(3) 2(10) ] = [ 18 12 6 20 ] With the first step of distribution, we can begin subtracting these new matrices that we just found. Matrix addition and subtraction, is just as simple as distributing each matrices' respective coefficient. We simply subtract each respective element. This is done by the following: 5A - 2B = 5 [ 7 3 - 2 [ 9 6 -4 -1 ] 3 10 ] = [ 5(7) 5(3) - [ 2(9) 2(6) 5(-4) 5(-1) ] 2(3) 2(10)] = [ 35 15 - [ 18 12 -20 -5 ] 6 20 ] = [ 35 - 18 15 - 12 -20 - 6 -5 -20] Then by simplifying we get: = [ 17 3 -26 -25 ]

### Subject:Algebra

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Question:

Find the area of a rectangular box with the dimensions of: Width: (x-5) Height: (x-7) Reminder: The formula to find the area of a rectangular box is Area = (Width)*(Height)

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Trent R.

In order to find the area of a box with the given dimensions, let us first remind ourselves what foil stands for. First Outer Inner Last Now we can proceed to fill in what we can to the area of a box formula given above. Area = (Width)*(Height) = (x-5)*(x-7). By using the foil method, we can begin to expand these binomials in order to find the desired area of the box. Area = (x-5)*(x-7) F O I L = (x)x) + (x)(7) + (-5)(x) + (-5)(7) = x^2 + 7x - 5x -35 = x^2 - 2x -35 Lastly, because this is an area, we must attach a unit to our answer. Because a unit is not given, we can write our final answer as: Area of the box is found to be x^2 - 2x - 35 units^2.

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