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VashaNatasha [74]
3 years ago
12

How do you completely factor 2x^3 + 16y^3

Mathematics
1 answer:
svp [43]3 years ago
8 0
. .

2x³+16y³= 2(x³+8y³)
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he books in a private library are classified as fiction and nonfiction. There are 400 books in the library. There are 40 more fi
vfiekz [6]
First, you have to set a system of equations to determine the number of fiction and of nonfiction books.Call f the number of fiction books and n the number of nonfiction books. Then 400 = f + n. And f = n + 40 => n = f - 40 => 400 = f + f - 40 => 400 - 40 = 2f => f = 360 / 2 = 180. Now to find the probability of picking two fiction books, take into account the the Audrey will pick from 180 fiction books out of 400, and Ryan will pick from 179 fiction books out of 399, so the probability will be<span> (180/ 400) * (179/399) = 0.20 (rounded to two decimals). Answer: 0.20</span>
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3 years ago
If I roll a fair die 100 times, about how many times would I roll a 4?
WARRIOR [948]

C. 17

Why:

Divide 100 by 6, round the answer and you should get 17

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3 years ago
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3 years ago
Simplify the following exponential expression. Show your work step by step and list the Properties of Exponents used to solve th
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3x^0 (2x^3y^2)^4

--------------------------

(4x^7y^4) ^2


= 3 * 1  (2x^3y^2)^4

--------------------------      Zero Exponent Property  X^0 =1

(4x^7y^4) ^2


3   (2^4 *x^3*4 y^2*4)

--------------------------     power of a power property  x^a ^b = x^(a*b)

4^2 x^7*2 y^4*2

3   *16 *x^12 y^8

--------------------------     simplify

16 x^14 y^8

3    *x^12 y^8

--------------------------     simplify

x^14 y^8

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5 0
3 years ago
Item 14<br> Find the missing dimension. Use the scale factor 1 : 12.
Vitek1552 [10]

Answer:

3.84m

Step-by-step explanation:

If the scale for this Water tower is 1 : 12 then this means that for every 1cm of the model, the actual water tower has 12cm. Therefore, in order to find the actual depth of the water tower we first need to multiply the depth of the model by 12.

32cm * 12 = 384cm

1 cm is equal to 0.01 m , therefore we now have to multiply the depth of the actual water tower which is in cm by 0.01 to get the actual depth in meters

384 * 0.01 = 3.84m

7 0
2 years ago
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