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3 years ago

Explain why 2/3 can be written as 2x12 divided by 3

Mathematics

1 answer:

MArishka [77]3 years ago

8 0

2/3 cannot be written as 2 x 12 divided by 3 because:

2/3 = 0.6666666666666667
and
2 x 12 = 24 divided by 3 = 8

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What is the area of the rectangle?

Colt1911 [192]

Answer:

$A=50\ units^2$

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

The coordinates of vertices are

$A(-5,5),B(-1,7),C(4,-3),D(0,-5)$

using a graphing tool

Plot the coordinates of rectangle to better understand the problem

see the attached figure

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have that

$L=AD,W=AB$

<em>Find out the distance AD</em>

we have

$A(-5,5),D(0,-5)$

substitute in the formula

$L=\sqrt{(-5-5)^{2}+(0+5)^{2}}$

$L=\sqrt{(-10)^{2}+(5)^{2}}$

$L=\sqrt{125}\ units$

<em>Find out the distance AB</em>

we have

$A(-5,5),B(-1,7)$

substitute in the formula

$W=\sqrt{(7-5)^{2}+(-1+5)^{2}}$

$W=\sqrt{(2)^{2}+(4)^{2}}$

$W=\sqrt{20}\ units$

The area of rectangle is equal to

$A=(\sqrt{125})(\sqrt{20})$

$A=50\ units^2$

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3 years ago

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The slope is 2 because the slope is always next to the x

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For the current reaction, 2NO2 ↔ N2O4, we have:

vivado [14]

<h3>Answer:</h3>

$\displaystyle K_c \approx 0.0424$

<h3>General Formulas and Concepts:</h3>

<u>Math</u>

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Chemistry</u>

<u>Equilibrium</u>

Equilibrium Constant K
Concentrations - Denoted in [Brackets]

<h3>Step-by-step explanation:</h3>

<u>Step 1: Define</u>

[RxN] 2NO₂ ⇆ N₂O₄

[Equilibrium Rate Law] $\displaystyle K_c = \frac{[N_2O_4]}{[NO_2]^2}$

NO₂ = 11.95 M

N₂O₄ = 6.05 M

Substitute [ERL]: $\displaystyle K_c = \frac{[6.05]}{[11.95]^2}$
Exponents: $\displaystyle K_c = \frac{[6.05]}{[142.803]}$
Divide: $\displaystyle K_c = 0.042366$
Round (Sig Figs): $\displaystyle K_c \approx 0.0424$

This value of K tells us that the reactants are favored in the equilibrium reaction (K < 0.1).

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