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Deffense [45]
2 years ago
11

Simplify 12 to the 16th power over 12 to the 4th power. 1212 124 112 14

Mathematics
2 answers:
EastWind [94]2 years ago
6 0

Answer:

12^{12}

Step-by-step explanation:

Law Incorporation [45]2 years ago
4 0

Greetings from Brasil...

<em />

Here's our problem:

\large{\frac{12^{16}}{12^{4}}}

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

<em>division of power of the same base: I repeat the base and subtract the exponents</em>

<em />

Bringing to our problem

12¹⁶ ÷ 12⁴

12¹⁶⁻⁴

<h2>12¹²</h2>

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A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

1\leq t\geq \sqrt{2}

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

h =20-5t^{2}-----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

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Put height value in equation 1

15 =20-5t^{2}

5t^{2} =20-15

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We know that the time is always positive, therefore t=1

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Put height value in equation 1

10 =20-5t^{2}

5t^{2} =20-10

5t^{2} =10

t^{2} =\frac{10}{5}

t^{2} =2

t=\pm\sqrt{2}

t=\sqrt{2}

Therefore ,time interval of camera film him is 1\leq t\geq \sqrt{2}

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