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Klio2033 [76]
2 years ago
9

Which measurement that does not belong 3500 km, 3.5 m, 350cm, 3500mm

Mathematics
1 answer:
scoundrel [369]2 years ago
4 0
Hello! 3.5m is equivalent to 350cm, which is also equivalent to 3,500mm. 100cm = 1 meter and 10mm = 1cm. 350/100 is 3.5. 3,500/10 is 350. 3,500 km does not belong, because that measurement would be way too big. The answer is 3,500km
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16/3

Step-by-step explanation:

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Solve the system of equations by graphing. x+y=-9 4x+y=-19
shutvik [7]

For this case we have the following system of equations:

x + y = -9\\4x + y = -19

We multiply the first equation by -4:

-4x-4y = 36

We have the following equivalent system of equations:

-4x-4y = 36\\4x + y = -19

We add the equations:

-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}

We find the value of the variable "x":

x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}

Thus, the solution of the system is:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

ANswer:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

4 0
3 years ago
Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is bein
Bad White [126]

Answer:

The rate at which water is being pumped into the tank is 13,913.27 cubic centimetre per minute

Step-by-step explanation:

Given that, the height of the conical tank is 13 meters and diameter is 3 meters.

Radius = \frac32 meters

\therefore \frac{radius }{height}=\frac {\frac{3}{2}}{13}

\Rightarrow \frac{radius }{height}=\frac {3}{26}

\Rightarrow radius=\frac {3}{26}\times height   ......(1)

The volume of the cone is   V=\frac13 \pi r^2 h

Now putting r=\frac{3}{26} h

V=\frac13 \pi (\frac3{26}h)^2 h

\Rightarrow V=\frac{3}{676} \pi h^3

Differentiating with respect to t

\frac{dV}{dt}=\frac{3}{676}\pi .3h^2 \frac{dh}{dt}

\Rightarrow \frac{dV}{dt}=\frac{9}{676}\pi h^2 \frac{dh}{dt}

Given that, the water level is rising at a rate of 17 cm per minute when the height 1 meter= 100 cm .i.e \frac{dh}{dt}=17 cm/min

Putting \frac{dh}{dt}=17  

\frac{dV}{dt}=\frac{9}{676}\pi h^2 \times 17

\frac{dV}{dt}|_{h=100}=\frac{9}{676}\pi (100)^2 \times 17

             ≈7,113 cubic centimetre per minute

The volume of water increases 7,113 cubic centimetre per minute while 6,800 cubic centimetre per minute is leaking out.

It means the required rate at which water is being pumped into the tank is

=(7,113+6,800)cubic centimetre per minute

=13,913 cubic centimetre per minute

           

   

4 0
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TWENTY PIONTS!!!!! what completes the prime factorization of 315
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Answer:

Positive Integer factors of 315 = 3, 9, 5, 45, 7, 315 divided by 3, 3, 5, 7, gives no remainder. Step-by-step explanation:

8 0
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