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3 years ago

7

a jewerly shop shop sells 240 necklaces in a month. 180 of the necklaces were sold via the shops, website, the rest were sold in

a high street shop. work out the ratio of online sales. give your answer in its simplest form

1 answer:

Hunter-Best [27]3 years ago

7 0

Answer:

<h3>The workout ratio of the online sales to shop sales is 1:3.</h3>

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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,

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

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

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

I=0

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

3 0

3 years ago

Which of the following points lies in the solution set to the system of inequalities shown below

Oduvanchick [21]

Answer:

1,2, and 4

Step-by-step explanation:

I attached a picture with the graph

y= -4 is a straight horizontal line (red line) and

y≤10 will give a horizontal line passing trough y=10 (blue line)

the solution is all points under and on the line y=10

1, 2, and 4 are part of the solution set

(the blue area is the solution of the system of equations)

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3 years ago

Read 2 more answers

7x+3y =-4 X-5y=-6 substitution please explain

inysia [295]

First you have to isolate one of the equations for y=mx+b.
Then substitute the equation is made into the first equation

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4 years ago

a square of area is 36 cm squared is cut to make two triangles, A and B. The ratio of area A to area B is 2:1. Work out the dime

weeeeeb [17]

Dimensions of:

Rectangle A are 6 cm by 4 cm.

Rectangles B are 6 cm by 2 cm.

Step-by-step explanation:

It is given that:

The area of square is 36 cm^2.

Hence, the side of the square is given as:

Area=(side)²

36=(side)²

side=6

Hence, the side of square is 6 cm.

Now, as the area of two rectangles A and B are in the ratio:

2:1

This means that, the area of rectangle A is 24 cm².

and area of rectangle B is 12 cm²

( Since, 36/(2+1)=36/3=12

Area of rectangle A=2×12=24 cm²

Area of rectangle B=1×12=12 cm². )

Hence, the dimensions of A are:

6 cm by 4 cm.

and the dimensions of rectangle B are:

6 cm by 2 cm.

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3 years ago

What are the measures of Angles a, b, and c? Show your work and explain your answers. Two straight lines intersect at a point to

Ilia_Sergeevich [38]

the measure of angle a,b,c is 120

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