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# Tutor profile: Taylor P.

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Taylor P.
College Graduate and Tutor for One Year
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## Questions

### Subject:Spanish

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Question:

Fill in the blanks of the following sentences with the correct conjugated form of the verb given in parentheses: a. Esperamos que ellos (llegar) antes de las nueve. b. Mi mamá quiere ir Chili's para (cenar). c. Ella (estar) en un restaurante porque ella tiene hambre.

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Taylor P.

a. The correct answer is "lleguen" (they arrive). "Ellos" (they) is the third person plural pronoun. The use of the conjugation "Esperamos" (We hope) followed by the conjunction "que" (that) expresses desire, and therefore elicits the use of the subjunctive mood. Note that "llegar" is irregular in this mood. b. The correct answer is "cenar" (to eat dinner). When preceded by the preposition "para" (meaning "in order to" when followed directly by a verb), the verb remains in its infinitive state. c. The correct answer is "está" (is). The conjugated verb "tiene" indicates that the sentence is in the present tense, therefore the first verb must conjugated to the third person singular form of "estar" (to be).

### Subject:Basic Chemistry

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Question:

Determine the molarity of a solution containing 0.2074g of calcium hydroxide [Ca(OH)2] dissolved in 40.00 mL of solution.

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Taylor P.

### Subject:Algebra

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Question:

Factoring Sample Problem: Factor -24x^9y^5 - 64x^7y^8.

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Taylor P.

We begin by determining what the sets of numbers have in common. I like to first divide the terms like so: -24, -64; x^9, x^7; y^5, y^8 After the terms have been separated accordingly, we determine the GCF (greatest common factor, or the greatest factor that divides two numbers) of each set. In this case, the GCF is -8, x^7, and y^5 respectively. Therefore, one of the factors is -8x^7y^5. But what about the rest of the equation? To determine the other factor(s) of the polynomial, we simply determine what's left after the GCF is divided out of the equation: (This factor goes on the outside of the parentheses because it is shared by both terms in the equation)--> -8x^7y^5(3x^2+8y^3) <--(The numbers inside the parentheses are what's left after the GCF is factored out) So, the final answer is -8x^7y^5(3x^2+8y^3). **Be sure to check your work afterward by multiplying the factors together!

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