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3 years ago

How to complete factor 32x^5-2x

1 answer:

5 0

$32x^5-2x=2x(16x^4-1)=2x\underbrace{\left[(4x^2)^2-1^2\right]}_{use:a^2-b^2=(a-b)(a+b)}\\\\=2x(4x^2-1)(4x^2+1)=2x\underbrace{\left[(2x)^2-1^2\right]}_{use:a^2-b^2=(a-b)(a+b)}(4x^2+1)\\\\\center\boxed{=2x(2x-1)(2x+1)(4x^2+1)}$

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bezimeni [28]

$0.4=\frac{4}{10}=\frac{4:2}{10:2}=\boxed{\frac{2}{5}}$

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3 years ago

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2 years ago

A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea

gizmo_the_mogwai [7]

Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

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Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

$V=\pi r^{2} h$

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$h=\frac{1250}{314}$

h = 3.98 or approximately height of 1 layer is 4 cm.

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3 years ago

Given f(x) = 3x+5 <br> work out the value for f(2)

bagirrra123 [75]

Answer:

f(2) = 11

Step-by-step explanation:

f(x) = 3x+5

f(2) = 3(2)+5

f(2) = 6+5

f(2) = 11

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4 years ago