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3 years ago

Ratios, Fractions, Decimals, and Percents

Mathematics

2 answers:

Zarrin [17]3 years ago

6 0

Answer:

words:6 tenths or 1 and 5 tenths

Ratio:3:4 or 7:8

Fraction=1/3 or 19/20

Decimal:0.25

Percent:80%

max2010maxim [7]3 years ago

4 0

Answer:

3/4 75% 0.75

0.25 25% 1/4

1/3 331/3% 0.333...

80% 4/5 0.8

19/20 95% 0.95

words:6 tenths or 1 and 5 tenths

Ratio:3:4 or 7:8

Fraction=1/3 or 19/20

Decimal:0.25

Percent:80%

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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.

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3 years ago

The answer because I hate homework it's to hard<br>

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The answer to what?

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Answer:

Step-by-step explanation:

3x + 18 = 4x + 7

18 - 7 =4x - 3x

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