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3 months ago

Mia paints interior walls at a rate of 12 m^2/h. At what rate does she paint in cm^2/min?

2 answers:

6 0

12 m^2/h to cm^2/min

12 m^2/h × 1 h/60 min = 0.2 m^2/min

0.2 m^2/min × 10000 cm^2/1 m^2 = 2000 cm^2/min

2000 cm^2/min

Svet_ta [12.7K]3 months ago

6 0

Answer: Mia has a pace of painting the walls at $2000 cm^2/min$ .

Explanation:

It’s stated that Mia's rate for painting interior walls is $12m^2/h$ .

We know that,

1 m = 100 cm

$1m\times 1m=100cm\times 100cm$

$1m^2=10000cm^2$

We also know that,

1 h = 60 min

$12m^2/h=12\times\frac{10000}{60} cm^2/min$

$12m^2/h=2\times{1000}cm^2/min$

$12m^2/h=2000cm^2/min$

Thus, it can be concluded that she paints the interior walls at a rate of $2000 cm^2/min$ .

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Answer:

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3 months ago

Which shows the following expression after the negative exponents have been eliminated?

AnnZ [12381]

Response:

$a^2b^2$

Detailed explanation:

Considering the given algebraic expression:

$\dfrac{a^3b^{-2}}{ab^{-4}}, a\neq 0, b\neq 0$

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Utilizing the Division Law for Exponents: $\dfrac{t^x}{t^y}=t^{x-y}$

Consequently:

$\dfrac{a^3b^{-2}}{ab^{-4}} = a^{3-1}\cdot b^{-2-(-4)}\\$Simplifying\\a^{3-1}\cdot b^{-2-(-4)}=a^2b^{-2+4}\\=a^2b^2\\Therefore:\\\dfrac{a^3b^{-2}}{ab^{-4}}=a^2b^2$

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3 months ago

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