I will give braniest to whoever explains this to me the best.. 25 points just for answering!

Mathematics

1 answer:

finlep [7]3 years ago

6 0

I believe it equals $\frac{a ^{ \frac{9}{2}xy ^{ \frac{19}{3} } } }{b ^{10} }$

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You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

$h=\sqrt{x^2+y^2}$

The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

7 0

3 years ago

Which of the following is one of the cheapest routes to pass through each vertex once starting and ending with Vertex "A" and us

Tom [10]

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3 years ago

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Which unit of measurement would be the most appropriate to measure the mass of a person?

max2010maxim [7]

Kilograms would be the most appropriate way

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3 years ago

Jill and Erika made 5 gallons of lemonade for their lemonade stand.

julia-pushkina [17]

Part 1: 4 quarts in a gallon
4 * 5 = 20 quarts

Part 2: 20 * 2 = 40
They will make $40.00

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