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3 years ago

M^1/3 divided by m^1/5

1 answer:

4 0

M^1/3 divided by m^1/5 = m^2/15

m^1/5 divided by m^1/3 = 1/ m^2/15

m^1/3*m^1/5 = m^8/15

(m^1/3)^1/5 = m^1/15

(m^1/3m^1/5)^0 =1

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B) x + 4y = 7

Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Math question. please help 3+2x+4x=15

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2x+4x=6x

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3 years ago

Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed as:

$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

$= \iint_D \sqrt{x^2 +y^2 +1 } \ dA$

$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

$= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]$

3 0

3 years ago

For an experiment, the temperature of a liquid must stay above 60°F . The starting temperature of the liquid is 90°F . It is pla

HACTEHA [7]

The answer is The liquid must be in the cooler fewer than 10 minutes.

Let:
m - the number of minutes the liquid is in the cooler.
a - the starting temperature
The function is:
f(m) = a - 3 * m (Since the temperature decreases by 3°F each minute m, it has a negative sign)
Let:
m - the number of minutes the liquid is in the cooler.
a - the starting temperature
a = 90°F

The temperature of a liquid must stay above 60°F:
f(m) > 60

Thus:
f(m) = a - 3 * m
f(m) > 60

a - 3 * m > 60
90 - 3m > 60
90 - 60 > 3m
30 > 3 m
30/3 > m
10 > m
Or m < 10. So the correct answer is The liquid must be in the cooler fewer than 10 minutes.

3 0

3 years ago