Shahla M.

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Pre-Algebra

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Question:

4p + 1 = 10. What is p?

Shahla M.

Answer:

having 4p + 1 = 10 move 1 to right side of the equation and subtract it from 10: 4p = 10 - 1 so 4p = 9 then p = 9/4

Chemistry

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Question:

Identify a gas that has a density of 3.8 g/L at 273K and 1atm.

Shahla M.

Answer:

At STP 1mol is equal to 22.4 L. Let's find the molar mass of the unknown to be able to identify it on the periodic table then. Start working on the problem by putting down the known values which are the density. it is very important to include all the units, that way you can get rid of the unwanted units: 3.8 g/L X 22.4 L/mol = 85.12 g/L going to the periodic table the closet molar mass to the value above is for Rb.

Algebra

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Question:

Factor x^4 – 9y^6 into two binomial factors.

Shahla M.

Answer:

First, you need to recognize that this expression follows the pattern of x^2-y^2 in factoring, which is equal to (x-y)(x+y). Then rewrite everything to power of 2 following the pattern above; x^4 – 9y^6 = (x^2)^2- (3y^3)^2 Now, Comparing the original expression with the factoring pattern above you can substitute x^2 with x and 3y^3 with y. So you will end up getting (x^2 - 3y^3)(x^2 + 3y^3)

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