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3 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

ozzi3 years ago

4 0

Answer:

1 sixth

Step-by-step explanation:

when you divide 1/3 by 2 you get a sixth

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If x+1/x= 3, then prove that m^5+1/m^5= 123

alina1380 [7]

9514 1404 393

Explanation:

We can start with the relations ...

$\displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)$

$\displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}$

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3 years ago

Give the product in simplest form: (pic below)

stellarik [79]

Answer:

26/3

Step-by-step explanation:

First, you need to turn the fractions from mixed form to improper fractions.

3 1/4 x 2 2/3

13/4 x 8/3

= 26/3

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2 years ago

If the volume of a cone is 12.56, and the height is 3. What is the radius of the cone? R=

Alina [70]

Answer:

you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60

Step-by-step explanat

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2 years ago

261,177 is farther or closer to 300000

lutik1710 [3]

Actually is close, like rounding anything above 5 is rounded up, 5 and below stays the same. It's 261,177 that means it is around 40,000 away from 300,000. Therefore is it closer

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3 years ago

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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a t

Dima020 [189]

See the picture attached

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2 years ago