A cube has a volume of 216cm3. What is the length of one side?

andrezito [222]

Answer for 3(4x-2) is 12x-6

Answer for 12x-2 is 24x

5 0

3 years ago

New Oats cereal is packged in a cardboard cylinder. The packaging is 10 inches tall with a diameter of 3 inches. What is the vol

Otrada [13]

30 is the answer thanks

8 0

3 years ago

2(X+3)=x-4 and 4(5x-2)=2(9x+3)

Fudgin [204]

Answer:

2x+10=x and 2x=14 this is what I got

Step-by-step explanation:

+

7 0

3 years ago

Separable differential equation y’ln^2y+ysqrtx=0 y(0)=e

Maksim231197 [3]

By applying the theory of separable ordinary differential equations we conclude that the solution of the differential equation $\frac{dy}{dx} \cdot (\ln y)^{2} + y\cdot \sqrt{x} = 0$ with y(0) = e is $y = e^{\sqrt [3]{-2\cdot x^{\frac{3}{2} }+1}}$ .

<h3>How to solve separable differential equation</h3>

In this question we must separate each variable on each side of the equivalence, integrate each side of the expression and find an explicit expression (y = f(x)) if possible.

$\frac{dy}{dx} \cdot (\ln y)^{2} + y\cdot \sqrt{x} = 0$

$(\ln y)^{2}\,dy = -y \cdot \sqrt{x}\, dx$

$-\frac{(\ln y)^{2}}{y}\, dy = \sqrt{x} \,dx$

$-\int {\frac{(\ln y)^{2}}{y} } \, dy = \int {\sqrt{x}} \, dx$

If u = ㏑ y and du = dy/y, then:

$-\int {u^{2}\,du } = \int {x^{\frac{1}{2} }} \, dx$

$-\frac{1}{3}\cdot u^{3} = \frac{2\cdot x^{\frac{3}{2} }}{3} + C$

$u^{3} = -2\cdot x^{\frac{3}{2} } + C$

$(\ln y)^{3} = - 2\cdot x^{\frac{3}{2} } + C$

$C = (\ln e)^{3}$

$C = 1$

And finally we get the explicit expression:

$\ln y = \sqrt [3]{-2\cdot x^{\frac{3}{2} }+ 1}$

$y = e^{\sqrt [3]{-2\cdot x^{\frac{3}{2} }+1}}$

By applying the theory of separable ordinary differential equations we conclude that the solution of the differential equation $\frac{dy}{dx} \cdot (\ln y)^{2} + y\cdot \sqrt{x} = 0$ with y(0) = e is $y = e^{\sqrt [3]{-2\cdot x^{\frac{3}{2} }+1}}$ .

To learn more on ordinary differential equations: brainly.com/question/14620493

#SPJ1

6 0

2 years ago

Question 1 of 10 The length of AB (the minor arc) is 40 cm. What is the circumference of C? A 60°C A. 6.67 cm O B. 24 cm C. 360

Montano1993 [528]

as 60° is 1/6 of the complete circle. We get that the total circumference is :

$6\cdot40=240\operatorname{cm}$

so the answer is 240 cm

5 0

1 year ago