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3 years ago

Let xy=3 and dy/dt=4. Find dx/dt when x=5

Mathematics

1 answer:

tino4ka555 [31]3 years ago

4 0

Answer:

xy = 3

d/dt(xy) = d/dt(3)

ydx/dt + xdy/dt = 0

y = 3/x so substitute 3/5 for y, 5 for x, and 5 for dy/dt; and solve for dx/dt.

3/5(dx/dt) + 5(5) = 0

3/5(dx/dt) = -25

dx/dt = -125/3

Step-by-step explanation:

this should be able to help you :)

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What is the equation of the graphed line in point-slope form?

Tomtit [17]

ANSWER

$y - 1 = \frac{2}{3} (x - 3)$

EXPLANATION

To find the equation in point-slope form, use the formula,

$y-y_1=m(x-x_1)$

The $m$
is the slope of the line.

We can read from the graph that, the straight line passes through, the points
$(-3,-3) \: and \: (3,1)$

We can use these two points to find the slope of the line.

The slope can found using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

This means that,

$m = \frac{1 - - 3}{3 - - 3}$

$m = \frac{1 + 3}{3 + 3}$

$m = \frac{4}{6}$

$m = \frac{2}{3}$

We now use one of the points, say
$(3,1)$
with the slope to find the equation of the line.

$y - 1 = \frac{2}{3} (x - 3)$

8 0

3 years ago

Help me with this please

Kaylis [27]

Answer:

x = 25

Step-by-step explanation:

By the property,

Equal chords subtend equal angles at the center of the circle. Therefore, measures of arcs having equal central angles will be equal.

2x + 4x + (3x + 30) + (3x + 30) = 360°

(2x + 4x + 3x + 3x) + (30 + 30) = 360

12x + 60 = 360

12x = 300

x = $\frac{300}{12}$

x = 25

4 0

3 years ago

Consider the population of all 1-gal cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal

Ahat [919]

Answer:

A) 0.5000; B) 0.9772; C) 0.9772; D) 0.8185; E) 0.9932; F) 1.0000

Step-by-step explanation:

For each of these, we will use a z score. The formula for a z score is:

$x=\frac{X-\mu}{\sigma}$

A) Our X is 5, our mean is 5 and our standard deviation is 0.2:

z = (5-5)/(0.2) = 0/0.2 = 0

Using a z table, the value to the left of this, less than, is 0.5000; this means the area to the right of this, greater than, is 1-0.5000 = 0.5000.

B) Our X is 5.4, the mean is 5 and the standard deviation is 0.2:

z = (5.4-5)/0.2 = 0.4/0.2 = 2

Using a z table, the value to the left of this, less than, is 0.9772.

C) The probability for this will be the same as for B; there is no distinction between "less than" and "less than or equal to" in z tables.

D) We find the z score for each of the endpoints of this interval, find the probabilities and subtract them:

z = (4.6-5)/0.2 = -0.4/0.2 = -2; the probability is 0.0228.

z = (5.2-5)/0.2 = 0.2/0.2 = 1; the probability is 0.8413.

The area between them is 0.8413-0.0228 = 0.8185.

E) X is 4.5, the mean is 5 and the standard deviation is 0.2:

z = (4.5-5)/0.2 = -0.5/0.2 = -2.5; the probability less than this is 0.0062. This means the probability greater than this is 1-0.0062 = 0.9938.

F) X is 4, the mean is 5 and the standard deviation is 0.2:

z = (4-5)/0.2 = -1/0.2 = -5. Everything in the z table is larger than this, so the probability is 1.000.

4 0

3 years ago

Need help pleases please

Gemiola [76]

The shape inside is a square - and squares have sides which are all equal.
area is equal to length x width,
the length is 2 and the width is 2 so it equals 4.

I hope it's right

4 0

3 years ago

1/2dozen pencil in 1/3 box

prohojiy [21]

Answer:

1 box would be 18 pencils

Step-by-step explanation:

DADDIEST

6 0

3 years ago