2 years ago

(6.8 x 10^2) x (1.3 x 10^-3)

Mathematics

1 answer:

Leviafan [203]2 years ago

6 0

Answer: (6.8 x 10^2) x (1.3 x 10^-3) = 0.884 $x^{2}$

Step-by-step explanation:

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1.) Alexander jumped off a cliff into the ocean in Acapulco while on vacation. His height as a function of time could be modeled

Dmitrij [34]

So hmmm check the graph below

now.. to find the vertex of any quadratic

$\bf \textit{vertex of a parabola}\\ \quad \\

\begin{array}{lccclll}
h(t)=&-16t^2&+16t&+480\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

so... how long did it take? well, it took $\bf -\cfrac{{{ b}}}{2{{ a}}}$

what was the highest point? well, it was $\bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}$

when did he hit the water? well, at y = 0
that is $h(t) = -16t^2 + 16t + 480 \implies 0 = -16t^2 + 16t + 480,$

solve for "t"