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3 years ago

Find the common difference of the sequence shown.

Mathematics

1 answer:

larisa86 [58]3 years ago

3 0

Answer:

1/6

Step-by-step explanation:

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Marissa got an 85 on her math quiz she got 34 questions correct how many questions are on the quiz

galina1969 [7]

85/100=34/?
85÷2.5=34
100÷2.5=40
34/40=34/? ?=40
there were 40 questions

4 0

3 years ago

What product is greater than 3/5

spayn [35]

Answer: 4/6+4/6 is 8/12 and bigger than 3/5

Step-by-step explanation:

6 0

2 years ago

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Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x

Serggg [28]

I assume $C$ has counterclockwise orientation when viewed from above.

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

so we first compute the curl:

$\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k$

Then parameterize $S$ by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k$

where the $z$ -component is obtained from

$1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v$

with $0\le u\le\dfrac\pi2$ and $0\le v\le\dfrac\pi2$ .

Take the normal vector to $S$ to be

$\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k$

Then the line integral is equal in value to the surface integral,

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}$

6 0

3 years ago

Please help!

Gemiola [76]

Answer:

test test test test test test test test test test test test test test test test test test test test test test test test test test test test test test

4 0

3 years ago

A cash register contains $10 bills and $100 bills with a total value of $2010. If there are 30 bills total, then how many of eac

finlep [7]

Answer:

there will be 19 $100 bills

and 11 $10 bills

Step-by-step explanation:

$100*19=1900\\10*11=110\\1900+110=2010$

7 0

3 years ago

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