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2 years ago

If 2 pizzas are needed to serve 8 people, how many pizzas are needed to serve 20 people?

Mathematics

1 answer:

Nastasia [14]2 years ago

6 0

Answer:

Step-by-step explanation:

We can divide 8/2 to find out that 4 slices are on each pizza, each person eats one piece, so we can then divide 20/4=5

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Evaluate the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 +

Stolb23 [73]

$S$ is given to be parameterized by

$\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\langle u+v,u-v,1+2u+v\rangle$

with $0\le u\le3$ and $0\le v\le2$ . We have

$\mathbf r_u=\langle1,1,2\rangle$
$\mathbf r_v=\langle1,-1,1\rangle$
$\mathbf r_u\times\mathbf r_v=\langle3,1,-2\rangle$
$\left\|\mathbf r_u\times\mathbf r_v\right\|=\sqrt{14}$

The surface integral is then

$\displaystyle\iint_S(x+y+z)\,\mathrm dS=\iint_S(x(u,v)+y(u,v)+z(u,v))\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv$
$=\displaystyle\sqrt{14}\int_{u=0}^{u=3}\int_{v=0}^{v=2}((u+v)+(u-v)+(1+2u+v))\,\mathrm dv\,\mathrm du$
$=\displaystyle\sqrt{14}\int_{u=0}^{u=3}\int_{v=0}^{v=2}(4u+v+1)\,\mathrm dv\,\mathrm du$
$=\displaystyle\sqrt{14}\left(8\int_{u=0}^{u=3}u\,\mathrm du+3\int_{v=0}^{v=2}v\,\mathrm dv+6\right)$
$=\displaystyle\sqrt{14}\left(8\int_{u=0}^{u=3}u\,\mathrm du+3\int_{v=0}^{v=2}v\,\mathrm dv+6\right)$
$=48\sqrt{14}$

4 0

3 years ago

The length of an object is measured as 65.8 centimeters what is this measurement in scentific notation

julsineya [31]

Answer:

6.58 x 10^1

Step-by-step explanation:

This is because the exponent 1 means that you have to move the decimal place in 6.58 to the right once which makes the standard form 65.8. And vice versa, if you move the decimal place to the left once in 65.8, then the answer is 6.58 x 10^1.

7 0

2 years ago

I need helpp i have 4 minutes ( ill give brainllist)

FrozenT [24]

Is between 0 and 1 and is less than 1

7 0

1 year ago

Need help on polynomials

kkurt [141]

Follow these steps and you should get your answer its not the same questions but it should help
The answer to the problem is as follows:

These two polynomials are 5x^2 + 3x + 5 and 3x^2 +2x + 2:

Subtracting the second expression from the first:

<span>5x^2 + 3x + 5
- (3x^2 +2x + 2)
</span>____________
<span>2x2 + x + 3 <------------- The difference
</span>

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3 years ago

3y-6 divided by 9 = 4-2 divided by -3

antoniya [11.8K]

I believe the answer is 16/9

4 0

2 years ago

Read 2 more answers