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ozzi
3 years ago
12

Find the volume of a

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer:

v = 189 ft³

Step-by-step explanation:

v = lwh

v = 3 * 7 * 9

v = 189 ft³

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The winner of a basketball contest is the individual who scores the highest percentage of free throws. The too three finishers a
Anit [1.1K]

Answer:

Step-by-step explanation:

Less than 0.84

Step-by-step explanation:

   Convert all numbers to decimals

   85% --> 0.85

   0.88 --> 0.88

   21/25 --> 0.84

Since these are the top three, the rest of the competitors are less than 0.84.

4 0
3 years ago
g Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 7yi + xzj + (
Sati [7]

By Stokes' theorem,

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

where S is any oriented surface with boundary C. We have

\vec F(x,y,z)=7y\,\vec\imath+xz\,\vec\jmath+(x+y)\,\vec k

\implies\nabla\times\vec F(x,y,z)=(1-x)\,\vec\imath-\vec\jmath+(z-7)\,\vec k

Take S to be the ellipse that lies in the plane z=y+9 with boundary on the cylinder x^2+y^2=1. Parameterize S by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(u\sin v+9)\,\vec k

with 0\le u\le1 and 0\le v\le2\pi. Take the normal vector to S to be

\vec s_u\times\vec s_v=-u\,\vec\jmath+u\,\vec k

Then we have

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

=\displaystyle\int_0^{2\pi}\int_0^1\big((1-u\cos v)\,\vec\imath-\vec\jmath+(u\sin v+2)\,\vec k\big)\cdot\big(-u\,\vec\jmath+u\,\vec k\big)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^1(3u+u^2\sin v)\,\mathrm du\,\mathrm dv=\boxed{3\pi}

5 0
3 years ago
Please help I don’t understand.I need to know if it is a linear function and how to write it in standard form. :)
Ipatiy [6.2K]
A linear function is one whose formula can be written in the form

Ax + By = C  where A, B, C are real numbers and A, B are not both 0.  (This is standard form, too.)

\frac{x+4}{2} = \frac{y-4}{3}

"Cross multiply."

3(x+4) = 2(y-4) \\ 3x+12 = 2y-8

Subtract 12.

3x=2y-20

Subtract 2y.

3x-2y=-20

This matches up with standard form with A = 3, B = -2, C = -20.

It's a linear function.
6 0
3 years ago
Evaluate: 2x +3y = 4 -7x + 3y = -1
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We solving for x or y
3 0
3 years ago
Which topic could be shown in a line graph?
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C favorite food is the answer I believe
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3 years ago
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