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3 years ago

a machinist can produce 114 Parts in 6 minutes at this rate how many parts can The Machinist produce in 15 minutes

Mathematics

1 answer:

enot [183]3 years ago

8 0

Answer:

285

Step-by-step explanation:

Step 1:

114 : 6 = x : 15

Step 2:

6x = 1710

Answer:

x = 285

Hope This Helps :)

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Evaluate the surface integral. s x2 + y2 + z2 ds s is the part of the cylinder x2 + y2 = 4 that lies between the planes z = 0 an

Leya [2.2K]

Parameterize the lateral face $T_1$ of the cylinder by

$\mathbf r_1(u,v)=(x(u,v),y(u,v),z(u,v))=(2\cos u,2\sin u,v$

where $0\le u\le2\pi$ and $0\le v\le3$ , and parameterize the disks $T_2,T_3$ as

$\mathbf r_2(r,\theta)=(x(r,\theta),y(r,\theta),z(r,\theta))=(r\cos\theta,r\sin\theta,0)$
$\mathbf r_3(r,\theta)=(r\cos\theta,r\sin\theta,3)$

where $0\le r\le2$ and $0\le\theta\le2\pi$ .

The integral along the surface of the cylinder (with outward/positive orientation) is then

$\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS=\left\{\iint_{T_1}+\iint_{T_2}+\iint_{T_3}\right\}(x^2+y^2+z^2)\,\mathrm dS$
$=\displaystyle\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}((2\cos u)^2+(2\sin u)^2+v^2)\left\|{{\mathbf r}_1}_u\times{{\mathbf r}_2}_v\right\|\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+0^2)\left\|{{\mathbf r}_2}_r\times{{\mathbf r}_2}_\theta\right\|\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+3^2)\left\|{{\mathbf r}_3}_r\times{{\mathbf r}_3}_\theta\right\|\,\mathrm d\theta\,\mathrm dr$
$=\displaystyle2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r^3\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r(r^2+9)\,\mathrm d\theta\,\mathrm dr$
$=\displaystyle4\pi\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv+2\pi\int_{r=0}^{r=2}r^3\,\mathrm dr+2\pi\int_{r=0}^{r=2}r(r^2+9)\,\mathrm dr$
$=136\pi$

7 0

3 years ago

Help help help help help

Nesterboy [21]

Answer:

$b = \sqrt{65}$

Step-by-step explanation:

${b}^{2} + {4}^{2} = {9}^{2} \\ {b}^{2} + 16 = 81 \\ {b}^{2} = 81 - 16 \\ {b}^{2} = 65 \\ b = \sqrt{65}$

I hope I helped you^_^

8 0

3 years ago

Please help with this! Show how you got it!!! Will mark brainliest!!

Ghella [55]

Answer:

sum of interior angles of octagon is 1080 degrees

From figure ,

136 + 132 + 129 + 116 + 158 + 141 + 124 + x = 1080

so, x = 1080 - 936

= 144

Step-by-step explanation: Simply add the angles and substract the sum from 1080 which is the sum of interior angles of octagon

8 0

3 years ago

Read 2 more answers

One number is five less than a second number. Three times the first is 14 more than 4 times the second. Find the numbers.

Evgen [1.6K]

Answer:

Second number = -29

First number = -34

Step-by-step explanation:

Second number = x

First number = x - 5

3*(x-5) = 4x + 14

3x - 3*5 = 4x + 14

3x - 15 = 4x + 14

-15 = 4x +14 - 3x

-15 = x + 14

-14 - 15 = x

x = -29

Second number = -29

First number = -29 - 5 = -34

8 0

2 years ago

Please help me 8th grade math

mamaluj [8]

Answer:

y=1/2x+6

Step-by-step explanation:

for the equation you start with finding the rate of change (wich is what y changes by as x 9minths) in creases by 1) and then add the Y-intercept, so it would be Y=1/2x+6

Formula:

Y=△y•x+b(y-int)

To find y intercept find what <em>y </em>is when x is 0, or in this case you know it comes out 6 feet tall, so that is what the Y int. is

7 0

3 years ago

a machinist can produce 114 Parts in 6 minutes at this rate how many parts can The Machinist produce in 15 minutes​

a machinist can produce 114 Parts in 6 minutes at this rate how many parts can The Machinist produce in 15 minutes