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3 years ago

A bag contains 14 blue marbles, 10 red marbles, and 6 yellow marbles.

Mathematics

1 answer:

Ad libitum [116K]3 years ago

6 0

Answer:

Step-by-step explanation:

14+10+6= 30 (6/30 = 0.2) 0.2 x 25=5

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Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 + y2.

vekshin1

$x^2+y^2+z^2=100z\iff x^2+y^2+(z-50)^2=50^2$

The surface of interest can be parameterized by

$\mathbf r(u,v)=\begin{cases}x(u,v)=50\cos u\sin v\\y(u,v)=50\sin u\sin v\\z(u,v)=50(\cos v+1)\end{cases}$

with $0\le u\le2\pi$ and $0\le v\le\arccos\dfrac{49}{50}$ .

The area of the surface $S$ is given by the surface integral

$\displaystyle\iint_S\mathrm dA=\iint_T\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv$

We have

$\|\mathbf r_u\times\mathbf r_v\|=50^2\sin v$

so the area is given by the double integral

$\displaystyle50^2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\arccos(49/50)}\sin v\,\mathrm dv\,\mathrm du=100\pi$

6 0

3 years ago

WILL GIVE BRAINLIEST!

Radda [10]

Answer:

4 ounces of corn and 4 ounces of squash

Step-by-step explanation:

Let S be the no. of ounces of squash

Let C be the no. of ounces of corn

C》2 --> (A)

S》C --> (B)

Total protein 》 3

½C + ¼S》3 --> (C)

Solve A and C simultaneously

½(2) + ¼S = 3

¼S = 2

S = 8

C = 2, S = 8

Solve B and C simultaneously

½S + ¼S = 3

¾S = 3

S = 4

C = 4, S = 4

Three possible extreme combinations

C = 2, S = 8: Total = 10

C = 4, S = 4: Total = 8

Minimum is 8 ounces

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3 years ago

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Karo-lina-s [1.5K]

You either find the gradient or distance and if there are equal, therefore the opp are equal

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3 years ago

These two please ?????

zlopas [31]

Answer:

that will be 2130,1

Step-by-step explanation:

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DaniilM [7]

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