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2 years ago

Multiply (x+2)(x2−3x +4)

Mathematics

1 answer:

stepladder [879]2 years ago

7 0

Step-by-step explanation:

Using FOIL, we have

(x + 2)(x² - 3x + 4)

= (x³ - 3x² + 4x) + (2x² - 6x + 8)

= x³ - x² - 2x + 8.

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The answers
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2 years ago

A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

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2 years ago

How do you solve rational expressions

Stells [14]

Answer:

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Read 2 more answers

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juin [17]

Answer:

60 millas por hora.

Step-by-step explanation:

Dado que un taxi viaja a una velocidad de 48 mph para llegar a un destino en 2 horas y media, para determinar cuál seria su velocidad si se tarda dos horas para llegar se debe realizar el siguiente cálculo:

48 x 2.5 = 120

120 / 2 = X

60 = X

Así, su velocidad, si se tardase dos horas en llegar, sería de 60 millas por hora.

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2 years ago

The actual answer is 144. I have the proof right here:

Soloha48 [4]

Answer:

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Step-by-step explanation:

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