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zmey [24]
4 years ago
14

Please Help !!!

Mathematics
1 answer:
solong [7]4 years ago
5 0
Best Answer: 2 LiCl = 2 Li + Cl2
mass Li = 56.8 mL x 0.534 g/mL=30.3 g
moles Li = 30.3 g / 6.941 g/mol=4.37
the ratio between Li and LiCl is 2 : 2 ( or 1 : 1)

moles LiCl required = 4.37
mass LiCl = 4.37 mol x 42.394 g/mol=185.3 g


Cu + 2 AgNO3 = Cu/NO3)2 + 2 Ag
the ratio between Cu and AgNO3 is 1 : 2
moles AgNO3 required = 4.2 x 2 = 8.4 : but we have only 6.3 moles of AgNO3 so AgNO3 is the limiting reactant
moles Cu reacted = 6.3 / 2 = 3.15
moles Cu in excess = 4.2 - 3.15 =1.05

N2 + 3 H2 = 2 NH3
moles N2 = 42.5 g / 28.0134 g/mol=1.52
the ratio between N2 and H2 is 1 : 3
moles H2 required = 1.52 x 3 =4.56
actual moles H2 = 10.1 g / 2.016 g/mol= 5.00 so H2 is in excess and N2 is the limiting reactant
moles NH3 = 1.52 x 2 = 3.04
mass NH3 = 3.04 x 17.0337 g/mol=51.8 g
moles H2 in excess = 5.00 - 4.56 =0.44
mass H2 in excess = 0.44 mol x 2.016 g/mol=0.887 g
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Using it's formula, it is found that the displacement between t= 0  and t = 1 second is of 0 m.

The equation of motion is given by:

x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}

The <em>displacement </em><u>between t= 0  and t = 1 second</u> is given by:

d = x(1) - x(0)

Hence:

x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2

x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2

Then:

d = x(1) - x(0) = -2 + 2 = 0

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k0ka [10]

Answer:

3(2x + 5)(3x - 1)

Step-by-step explanation:

Hello!

We can first factor out the greatest common factor between the coefficients: 3.

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  • f(x) = 3(6x^2 + 13x - 5)

Now, let's work with what we have inside the brackets.

Standard form of a quadratic: ax^2 + bx+ c = 0

Given our equation: 6x^2 + 13x - 5

  • a = 6
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  • c = -5

We need to find two numbers that add up to b (13) and multiply to ac (-30).

The two numbers are 15 and -2. Expand 13x to 15x and -2x and factor by grouping.

<h3>Factor by Grouping</h3>
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  • (2x +5)(3x - 1)

Now, we simply add the other factor, 3, to the final factored form.

Factored Solution: 3(2x + 5)(3x - 1)

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