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3 years ago

Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )

Mathematics

1 answer:

OverLord2011 [107]3 years ago

6 0

Answer:

x^(5/6) + 4(x^(7/3))

Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )

Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))

x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x

x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2

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3 years ago

Un escalador sube 225m de altura. El asenso lo hizo en 3 etapas. En la primera subio un quinto en la, en la tercera un cuarto. ¿

kiruha [24]

Answer:

Segunda etapa= 123.75 metros

Step-by-step explanation:

Altura total= 225 metros

<u>En la primera estapa subió el 20% (un quinto):</u>

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Tercera etapa= 225*0.250 56.25 metros

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3 years ago

Zendaya has 5656 yard of wood to make racks for a word tile game. Each rack needs to be 1616 yard long. How many racks can Zenda

snow_lady [41]

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Step-by-step explanation:

Given

Zendaya has 5656 yards of wood

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Step-by-step explanation:

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3 years ago

Keith has $500 in a savings account at the beginning of the summer. He withdraws $25 each week for food, clothes, and movie tick

alexdok [17]

Answer:

You can put this solution on YOUR website!

the inequality is 500 - 25x >= 200

this insures that he will have at least 200 at the end of the summer.

subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x

simplify to get 300 >= 25x

divide both sides of that equation by 25 to get 300 / 25 >= x

simplify to get 12 >= x

12 >= x means x <= 12.

when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.

when x = 12, what is left in the account is 500 - 25 * 12 = 200.

when x = 11, what is left in the account is 500 - 25 * 11 = 225.

when x = 13, what is left in the account is 500 - 25 * 13 = 175.

the maximum number of weeks he can withdraw money from his account is 12.

Step-by-step explanation:

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