Multiply 20/5 by nine so 20/5 simplify into 4 4 times nine is 36, so only 36 kids liked the book
Answer:
C. 9
Step-by-step explanation:
y = -4x^2 + 2kx
subtitute 3:
y = -4(9)^2 + 2k(9)
y = -4(81) + 18k
let y = 0
=> 0 = -324 + 18k
=> k = 324/18 = 9
this is my calculations hope it helps
Answer:
![\displaystyle\frac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
Step-by-step explanation:
It can work well to identify 4th powers under the radical, then remove them.
![\displaystyle\sqrt[4]{\frac{24x^6y}{128x^4y^5}}=\sqrt[4]{\frac{3x^2}{16y^4}}=\sqrt[4]{\frac{3x^2}{(2y)^4}}\\\\=\frac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B4%5D%7B%5Cfrac%7B24x%5E6y%7D%7B128x%5E4y%5E5%7D%7D%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E2%7D%7B16y%5E4%7D%7D%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E2%7D%7B%282y%29%5E4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
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The applicable rules of exponents are ...
1/a^b = a^-b
(a^b)(a^c) = a^(b+c)
The x-factors simplify as ...
x^6/x^4 = x^(6-4) = x^2
The y-factors simplify as ...
y/y^5 = 1/y^(5-1) = 1/y^4
The constant factors simplify in the usual way:
24/128 = (8·3)/(8·16) = 3/16
Answer:
- <em>Mode is 0</em>
- <em>Median is 1 </em>
- <em>Mean is 2.625</em>
Step-by-step explanation:
- <em>To find the mode, or modal value, it is best to put the numbers in order. A number that appears most often is the mode.</em>
- <em>0, 0, 0, 1, 2, 4, 7, 7 = mode is 0</em>
<em></em>
- <em>To find the Median, place the numbers in value order and find the middle number.</em>
- <em>0 , 0 , 0 , 1 , 2 , 4 , 7 , 7 = median is 1</em>
<em></em>
- <em>The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.</em>
- <em>0 + 0 + 0 + 1 + 2 + 4 + 7 + 7 / 8 = mean is 2.625</em>
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...
ΔABC ~ ΔADE
so the relationship between the sides is ...
BC/BA = DE/DA . . . . . . we put the unknown value in the numerator
x/4 = 12/(4+8)
x = 4(1) = 4
The length of side x is 4.