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blagie [28]
2 years ago
14

Evaluate 27 x (1/3) to the power of 3.

Mathematics
1 answer:
horrorfan [7]2 years ago
4 0

Answer:

i'm sorry i don't know it

Step-by-step explanation:

hope u have a good day

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Carol has $30 to spend on gasoline for her car. After buying 8 gallons,she has $4 left. How much did each gallon of gasoline cos
photoshop1234 [79]

Answer:

$3.25 per gallon

Step-by-step explanation:

She had $30 and now has $4, so she spent $30- $4 = $26

With $24 she bought 8 gallons of gas.  

$26/(8 gallons) = $3.25/(1 gallon)      [ divide 26 by 8 to get the unit rate]

She spent $3.25 per gallon

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3 years ago
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Consider a steel ball floating on the surface of mercury in a half-filled container. What happens when the rest of the container
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The steel ball will be caught up in between the mercury and water medium.

Step-by-step explanation:

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  • water with a density of 1000 kg/m^3
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From the factual density of both substances given above ,it shows that mercury is more heavier than water. In that case mercury will be at the lower layer when mixed with water.

The steel ball will be caught in between both mixtures as the density of  steel is 8050 kg/m^3.Which  is more than Water but less than Mercury.

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3 years ago
Write the following quotient in the form a+bi.<br> -7i/2-7i
Helga [31]

Answer:

\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}

Step-by-step explanation:

\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i

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Which three lengths could be the lengths of the sides of a triangle?
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C. 7 cm by 7 cm by 43 cm
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