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3 years ago

8 ÷ 3/5 Equals? I need this quickly.

Mathematics

1 answer:

cricket20 [7]3 years ago

6 0

Answer:

= 40/3 = 13 1/3

Step-by-step explanation:

8/1 ÷ 3/5 = 8/1 x 5/3

8 x 5 = 40

1 x 3 = 3

= 40/3 = 13 1/3

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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

What is the improper fraction for 8 and 3/47

erastovalidia [21]

Answer:

379/47

Step-by-step explanation:

1. Simplify

2. Reduce fraction to lowest terms

1 is the greatest common divisor of 3 and 47. The result can't be further reduced.

3. Convert mixed number to improper fraction

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krek1111 [17]

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Kruka [31]

The range of a relation is the possible output values, the y-values.

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