What is the approximate circumstance of the swimming pool? Use 3.14 as an estimate for pi

When 15 is subtracted from 3 times a number the result is -32. what is the number?

Vilka [71]

Answer:

15.6

Step-by-step explanation:

15+32=47

47/3=15.6

since the - is there

it will be -15.6

5 0

3 years ago

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In which sentence is the underlined word an indefinite article? A. Our dog ate the bone quickly. B. One bird flew over us. C. I

Yanka [14]

It is c i believe hope this is right

4 0

3 years ago

What is the value of x? −7.5(x−3)=3.75

Elena L [17]

${\boxed{ \Huge{ \blue{ \mathcal{{ Answer}}}}}}$

⇛-7.5(x−3) = 3.75

⇛-7.5x + 22.5 = 3.75

⇛-7.5x = 3.75 - 22.5

⇛-7.5x = -18.75

⇛x = -18.75 ÷ -7.5

⇛x = -18.75/-7.5

⇛x = 2.5

8 0

2 years ago

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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=0

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

3 0

3 years ago

What is the equation of the line that passes through the points (1, 1) and (7, -5)?

xxTIMURxx [149]

Answer:

y = -1x+2

Step-by-step explanation:

(1,1)(7,-5)

y2-y1/x2-x1 = slope

-5-1/7-1 = -6/6= -1

y-y1 = slope(x-x1) // equation formula

y-1=-1(x-1)

y = -1x + 1 +1

y = -1x+2

6 0

2 years ago