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3 years ago

A car travels 100 miles east in 2 hours and 30 miles north in half an hour. What is the average speed of the car?

Mathematics

1 answer:

Gennadij [26K]3 years ago

6 0

Answer:

44 mph

mph= miles per hour

Step-by-step explanation:

your welcome <3

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The equation ý-x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?

mel-nik [20]

Answer:

Your answer would be A. y=6!

Step-by-step explanation:

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3 years ago

Which of the following is the simplest form of this expression?

Softa [21]

Step-by-step explanation:

which expression there is no expression here

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3 years ago

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blsea [12.9K]

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3 years ago

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

Seven minus 2 times a number is the same as the number minus 2

Mamont248 [21]

7-2c= c - 2 this is the answer

6 0

3 years ago