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Gwar [14]
3 years ago
14

Multiply and reduce to lowest terms, 3 5/8× 4/5

Mathematics
1 answer:
Elanso [62]3 years ago
8 0
29/8 x 4/5

= 28/10

= 14/5

= 2 4/5
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ludmilkaskok [199]
Add all the numbers of the triangle and then divide them by the sides 

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3 years ago
) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

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

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

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3 years ago
This question is confusing. Please help me!
velikii [3]

Answer:

x = 18

Step-by-step explanation:

Given:

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Finding x for which 3b = 5a:

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  • 3(4x - 7) = 5(2x + 3)
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7 0
3 years ago
Read 2 more answers
During swim practice Brandi swam 6 butterfly stroke laps and 8 freestyle laps. What is the ratio of freestyle laps to total laps
densk [106]

Answer:

4:7

Edit: I just saw the multiple choice options, in this case the right answer is:

<h2>8:14</h2>

but they're both equal

Step-by-step explanation:

The ratio you are looking for is

freestyle laps : (freestyle + butterfly) laps

so:

8 : (6+8)

8:14

Divide by 2 to simplify

4:7

7 0
3 years ago
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