3 years ago

An airplane on autopilot took 5 hours to travel 3,475

1 answer:

5 0

Simply divide 3,475 by 5 to get 695 units per hour (you did not specify the distance unit, but i assume it might be miles per hour.)

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The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b

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Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic model that represents the approximate height in meters of the ball $f(x)=-5x^2 +200$ . the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting $f(x)=50$ and solving for x.

Then:

$50=-5x^2 +200$

Subtract 200 from both sides:

$-200+50=-5x^2 +200-200\\-150=-5x^2$

Divide both sides by -5:

$\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2$

Apply square root to both sides:

$\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x$

The ball is 50 meters from the ground after about 5.48 seconds.

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Step-by-step explanation:

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