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2 years ago

Please help with this question, thank you :)

Mathematics

1 answer:

vovikov84 [41]2 years ago

4 0

Answer:

1/2

((-2)^2-(4*2)^1/3)/abs(-2*2)

-2^2 = 4

4*2 = 8

-2*2 = -4 and abs of that is 4

4-(8)^1/3/4

8^1/3 = 2

4-2 = 2

2/4 = 1/2

Step-by-step explanation:

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Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of

Pavel [41]

$\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z$

Let $S$ be the surface of the rectangular prism bounded by the planes $x=0$ , $x=a$ , $y=0$ , $y=b$ , $z=0$ , and $z=c$ . By the divergence theorem, the integral of $\vec F$ over $S$ is given by the integral of $\nabla\cdot\vec F$ over the interior of $S$ (call it $R$ ):

$\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV$

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5 0

3 years ago

I’m having a lot of trouble, can someone guide me, step by step?

shutvik [7]

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

= 7.07

Because this is a semicircle, divide this area by 2

= 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

= 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

= 9.42478 inches

Again because this is a semicircle, divide by 2

= 9.42478 / 2

= 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

= 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

6 0

3 years ago

How to I make 3x+6y=18 into y=my+b

kirza4 [7]

Answer:

Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(18)=0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

3x + 6y - 18 = 3 • (x + 2y - 6)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve x+2y-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-6 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

y-intercept = 6/2 = 3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

x-intercept = 6/1 = 6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -1.000/2.000 = -0.500

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

3 0

3 years ago

Which property is illustrated by (7.3 + 5.1) + x = 7.3 + (5.1 + x)?

Troyanec [42]

C. assosiative property
as it follows the rule....

(a+b)+c = a+(b+c)

so c is the correct answer.....

HOPE IT HELPS YOU '_'

6 0

2 years ago

Read 2 more answers

A sphere has a diameter of 24 units. What is its volume in cubic units?

34kurt

V = (4/3)π.R³

Diameter - 24 units so Radius = 24/2 = 12 Inits

V= (4π/3).12³ =(4π/3). 1728
V=1728 x 4/3 x π = 2,304.π units³

8 0

3 years ago