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Mariana [72]
4 years ago
6

Identify the like terms and terms 1.4c + 11.4 - 2c - 7.3c =

Mathematics
1 answer:
Pavel [41]4 years ago
3 0
Like terms:
1.4c, -2c, -7.3c
11.4 has no like terms


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Verify that the divergence theorem is true for the vector field f on the region
vladimir2022 [97]
By the divergence theorem,

\displaystyle\iint_{\partial\mathcal E}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal E}\nabla\cdot\mathbf f(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz

where \partial\mathcal E is the boundary of \mathcal E. We have

\nabla\cdot\mathbf f(x,y,z)=\dfrac{\partial(4x)}{\partial x}+\dfrac{\partial(xy)}{\partial y}+\dfrac{\partial(4xz)}{\partial z}=4+x+4x=5x+4

so the flux is

\displaystyle\int_{z=0}^{z=2}\int_{y=0}^{y=2}\int_{x=0}^{x=2}(5x+4)\,\mathrm dx\,\mathrm dy\,\mathrm dz=72
5 0
3 years ago
What point lies on the line described by the equation below? Y+3=2 (x-1
Inessa [10]

Answer:

\boxed{(1, -3)}

Step-by-step explanation:

y+3=2 (x-1)

Put equation in slope-intercept form.

y=mx+b

y=2(x-1)-3

y=2x-2-3

y=2x-5

Let x = 1

y=2(1)-5

y=2-5

y=-3

The point (1, -3) lies on the line.

3 0
3 years ago
Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measu
Lera25 [3.4K]

Answer:

A = 68.8 inches^{2}

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

 Triangular base area: 

A1 =\sqrt{(s * (s-a) * (s-b) * (s-c)) }

 Where, s is the semi-meter of the triangle:

s =\frac{ (a + b + c) }{ 2}

 a, b, c: sides of the triangle.

 Substituting:

 s = (2 + 3 + 4) /2=4.5

A1 = \sqrt{ (4.5 * (4.5-2) * (4.5-3) * (4.5-4))}

 A1 = 2.90

 Then, you must know the area of each rectangle associated with each side of the triangular base.

 Rectangle area 1: Ar1 = (a) * (l)

                              Ar1 = (2) * (7)

                              Ar1 = 14

 Rectangular area 2:   Ar2 = (b) * (l)

                                    Ar2 = (3) * (7)

                                    Ar2 = 21

 Rectangular area 3:   Ar3 = (a) * (l)

                                    Ar3 = (4) * (7)

                                    Ar3 = 28

 Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

                                             A = (14) + (21) + (28) + 2 * (2.90)

                                            A = 68.8 inches^{2}

 Hence the surface area of the box of chocolates is 

A = 68.8 inches^{2}

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3 years ago
Put the following decimals in order from greatest to least: 2.002/ 2002/ 20.02/ 200.2​
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The answer is:  

2002, 200.2, 20.02, 2.002

I hope that was helpful!

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Answer:

208.8 or 209 for the discount price

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3 years ago
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