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3 years ago

Can someone give me the best broken down way to solve these questions?

Mathematics

1 answer:

sdas [7]3 years ago

7 0

Answer:

6 inches.

Step-by-step explanation:

Set up a proportion and solve for the missing variable.

$\frac{2}{5}=\frac{x}{15}\\\\15(\frac{2}{5})=15(\frac{x}{15})\\\\6=x$

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) 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

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

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

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

8 0

4 years ago

Write (2p)^4 without exponents.

Fed [463]

Answer:

= 8p

Step-by-step explanation:

Steps

2p · 4

Remove parentheses: (a) = a

= 2p · 4

Multiply the numbers: 2 · 4 = 8

= 8p

5 0

3 years ago

In Hugo’s pencil pouch, 3/5

Anna [14]

Answer:

Step-by-step explanation

8 0

3 years ago

translate the sentence into an equation. the sum of 4 times a number and 8 equals 7. use the variable c for the unknown number

jek_recluse [69]

Answer: 4× 8c = 7

Step-by-step explanation:

3 0

3 years ago

The concert tickets for Saturday were reduced from $50 to $30. By what percentage was the concert tickets reduced?

marin [14]

Answer:

40% price reduction

Step-by-step explanation:

The tickets were reduced by 40% because 20 is 2/5 or 40% of 50 and that was the amount of the price reduction.

7 0

3 years ago

Read 2 more answers