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3 years ago

Use the image to answer the question.

Mathematics

1 answer:

Nonamiya [84]3 years ago

7 0

Insert a picture on the question bc there is no image

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How many 0.45-ounce packages of cinnamon can be made with 3.15 ounces of cinnamon?

Ghella [55]

Answer:

7 packages of cinnamon

Step-by-step explanation:

3.15/0.45 = 7

5 0

3 years ago

Read 2 more answers

the distance from the origin to point p is 5 units. give the coordinates of four possible locations for point p

yan [13]

All I can think of is (5,0) (0,5)
Hopefully it helps.

4 0

3 years ago

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

Tomtit [17]

Apparently my answer was unclear the first time?

The flux of F across S is given by the surface integral,

$\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S$

Parameterize S by the vector-valued function r(u, v) defined by

$\mathbf r(u,v)=7\cos u\sin v\,\mathbf i+7\sin u\sin v\,\mathbf j+7\cos v\,\mathbf k$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2. Then the surface element is

dS = n • dS

where n is the normal vector to the surface. Take it to be

$\mathbf n=\dfrac{\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}}{\left\|\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}\right\|}$

The surface element reduces to

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\mathbf n\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

$\implies\mathbf n\,\mathrm dS=-49(\cos u\sin^2v\,\mathbf i+\sin u\sin^2v\,\mathbf j+\cos v\sin v\,\mathbf k)\,\mathrm du\,\mathrm dv$

so that it points toward the origin at any point on S.

Then the integral with respect to u and v is

$\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S=\int_0^{\pi/2}\int_0^{\pi/2}\mathbf F(x(u,v),y(u,v),z(u,v))\cdot\mathbf n\,\mathrm dS$

$=\displaystyle-49\int_0^{\pi/2}\int_0^{\pi/2}(7\cos u\sin v\,\mathbf i-7\cos v\,\mathbf j+7\sin u\sin v\,\mathbf )\cdot\mathbf n\,\mathrm dS$

$=-343\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}\cos^2u\sin^3v\,\mathrm du\,\mathrm dv=\boxed{-\frac{343\pi}6}$

4 0

3 years ago

8 + 3 (16 - 12). Help thanks

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

you've got to do the inside parenthesis first then multiple with 3 and finally add 8

8 0

3 years ago

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What is the value of y? y = 30 y = 50 y = 110 y = 130

____ [38]

Answer:

The value of y is 50.

Step-by-step explanation:

It is 50 because it is the exact same as the first degree.

And at least give a picture of problem please so we can solve it easily!! hope you next time!!

8 0

2 years ago