Ask question

Ask question

All categories

3 years ago

7

Consider a cube that measures 1 inch on each side. We can think of a cubic foot as a dilation of the cubic inch by a factor of 1

2. What is the volume, in cubic inches, of a cubic foot? *

1 answer:

Irina-Kira [14]3 years ago

3 0

Answer:

ii

Step-by-step explanation:

Add the length, width, height, and then multiply by 2 so you have the cube, then multiply by 12 so you should have an equation of 2(3 X 12)

You might be interested in

Use the surface integral in Stokes' Theorem to calculate the circulation of the field Bold Upper F equals x squared Bold i plus

Alinara [238K]

Answer:

The circulation of the field f(x) over curve C is Zero

Step-by-step explanation:

The function $f(x)=(x^{2},4x,z^{2})$ and curve C is ellipse of equation

$16x^{2} + 4y^{2} = 3$

Theory: Stokes Theorem is given by:

$I= \int \int\limits {{Curl f\cdot \hat{N }} \, dx$

Where, Curl f(x) = $\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]$

Also, f(x) = (F1,F2,F3)

$\hat{N} = grad(g(x))$

Using Stokes Theorem,

Surface is given by g(x) = $16x^{2} + 4y^{2} - 3$

Therefore, tex]\hat{N} = grad(g(x))[/tex]

$\hat{N} = grad(16x^{2} + 4y^{2} - 3)$

$\hat{N} = (32x,8y,0)$

Now, $f(x)=(x^{2},4x,z^{2})$

Curl f(x) = $\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]$

Curl f(x) = $\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\x^{2}&4x&z^{2}\end{array}\right]$

Curl f(x) = (0,0,4)

Putting all values in Stokes Theorem,

$I= \int \int\limits {Curl f\cdot \hat{N} } \, dx$

$I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx$

$I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx$

I=0

Thus, The circulation of the field f(x) over curve C is Zero

3 0

3 years ago

Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will

Marat540 [252]

   (150 miles/week) x (1 gallon / 25 miles) x (3 $/gallon)

   = (150 x 1 x 3) / (25)   (miles-gallon-$ / week-miles-gallon)

   = 18 $/week .

6 0

3 years ago

Read 2 more answers

What combination of variables could you analyze using correlation?

Anon25 [30]

Answer:

YOu have to add them i think

Step-by-step explanation:

First add the 3-4 and then finish it

3 0

3 years ago

Answer this and i’ll give you extra points

snow_tiger [21]

Answer:

Option (5)

Step-by-step explanation:

Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).

As shown in the graph,

Let the equation of the given line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, the given line passes through two points (0, -1) and (-1, 2)

Slope of the line 'm' = $\frac{y_2-y_1}{x_2-x_1}=\frac{2+1}{-1-0}$

= -3

y-intercept 'b' = -1

Therefore, equation of the line will be,

y = -3x - 1

And the function is,

g(x) = -3x - 1

Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.

Followed by the shifting of parent function by 1 unit down.

Therefore, Option (5) is the answer.

5 0

3 years ago

1/4 pizza for 5 dollars, how much can you purchase for 8 dollars

Vlada [557]

ONE
to buy more than one you would need at least 10 dollars

8 0

4 years ago

Read 2 more answers