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Crazy boy [7]
2 years ago
6

A hovercraft takes off from a platform it’s height (in meters), x seconds after takeoff, is modeled by

Mathematics
1 answer:
yulyashka [42]2 years ago
8 0

9514 1404 393

Answer:

  81 m

Step-by-step explanation:

Since x is seconds after takeoff, the value of x at takeoff is 0. You are being asked to find H(0).

  H(0) = -3(0 -3)^2 +108 = -3(9) +108 = 81

The height of the hovercraft at the time of takeoff is 81 meters.

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A metallurgist has an alloy with 10​% titanium and an alloy with 20​% titanium. He needs 100 grams of an alloy with 17​% titaniu
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\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentration\\
amount
\end{array}\\
&-----&-------&-------\\
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-----&-----&-------&-------\\
mixture&100&0.17&17
\end{array}

now, notice, we use the decimal format for the percent, namely 17% is 17/100 or 0.17 and so on

so....  we know, whatever "x" and "y" is, they must add up to 100 grams
thus    x + y = 100

and whatever the concentrated amount is, it must add up to 17 grams for the composition

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\bf \begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.1x+0.2y=17\\
----------\\
0.1x+0.2\left( \boxed{100-x} \right)=17
\end{cases}

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DaniilM [7]

Answer:

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8 0
2 years ago
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