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Number of shoes produced in 10 years is approximately 2 × 10^6 pairs of shoes

Step-by-step explanation:

Number of shoes produced per month = 1.81 × 10^4 ≈ 2 × 10^4

Number of months in 10 years = 1.2 × 10² ≈ 1 × 10²

⇒ Number of shoes that will be produced in 10 years = (2 × 10^4)(1 × 10²)

          = 2 × 10^6 pairs of shoes in 10 years.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)