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borishaifa [10]
2 years ago
11

After plotting the data where x=the side of a polygon, and f(x) = the area of the polygon, Jack used technology and determined t

he appropriate model to approximate the area of the polygon, F(x) = x2 + 3x + 2. Use the model Jack created to predict the area of a polygon that has a side length of 3. 10 18 19 20
Mathematics
1 answer:
nadezda [96]2 years ago
8 0

Answer:

the answer would be D. 20    because u plug 3 in for x so F(x)= 9+9+2

Step-by-step explanation:

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What is the slope of the line? (Write your answer as a reduced fraction)
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Answer:

m=-1/4

Step-by-step explanation:

(0,5)(4,4)

6 0
3 years ago
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 me with this question <br><br> image attached
Dmitry [639]

THE answer would be 38. letter C.

4 0
3 years ago
How many ways can a 7 question multiple choice test be answered? (assume that there are 5 possible responses per question?
sweet [91]
I am assuming that you can only pick one answer per question.

Let's imagine there are two questions on the test. I would:

1) Consider the first question. How many possible ways could you answer it?

2) Consider the second question. How many ways can you answer that?

If you wrote out all the possibilities, how many combinations of answers would you get across the two questions?
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3 years ago
A cellular phone company charges a $49.99 monthly fee for 600 free minutes. Each additional minute costs $.35. This month you us
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First you need to subtract 750-600= 150.

Then 150 time .35=52.5.

Lastly 52.5+49.99= 102.49

6 0
3 years ago
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