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2 years ago

Hey, can you plz help me answer this!

Mathematics

2 answers:

algol [13]2 years ago

6 0

The answer is 24.

28/ 1 1/6 = 24

Neko [114]2 years ago

6 0

Answer:

24 ft

Step-by-step explanation:

28 divided by 1 1/6 is 24

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

Im a little confused on this on can someone help me with this thanks!

Arlecino [84]

This is a bit confusing, double check if you typed everything correctly.

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3 years ago

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Answer:

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Step-by-step explanation:

100ft=33 yards

20ft=6 yards

60ft=20 yards

33+6+20=59

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3 years ago

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olya-2409 [2.1K]

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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