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lakkis [162]
3 years ago
14

Find vertex for y=x^2 - 10x + 2

Mathematics
1 answer:
NARA [144]3 years ago
8 0
The vertex would be (5,-23)
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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

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  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
Michael has constructed a device that fits on the end of a water hose. With this device, he can adjust the diameter of a tube co
Oduvanchick [21]
 x
---- = 5    (solve for x)
0.6

x = 5(0.6)
x = 3

then....

 3
-----  = 15
0.2

your answer should be 15 ft per second.

hope this helps :)










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3 years ago
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