Answer:
The correct option is option (3) 4 ÷ 25.
Step-by-step explanation:
The expression in terms of <em>m</em> and <em>n</em> is:
![F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}](https://tex.z-dn.net/?f=F%28m%2Cn%29%3D%5B%5Cfrac%7B2m%5E%7B-1%7Dn%5E%7B5%7D%7D%7B3m%5E%7B0%7Dn%5E%7B4%7D%7D%5D%5E%7B2%7D)
Exponent rule of division:

Compute the value of the expression for <em>m</em> = -5 and <em>n</em> = 3 as follows:
![F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}](https://tex.z-dn.net/?f=F%28m%2Cn%29%3D%5B%5Cfrac%7B2m%5E%7B-1%7Dn%5E%7B5%7D%7D%7B3m%5E%7B0%7Dn%5E%7B4%7D%7D%5D%5E%7B2%7D)
![F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}](https://tex.z-dn.net/?f=F%28-5%2C3%29%3D%5B%5Cfrac%7B2%5Ccsdot%20%28-5%29%5E%7B-1%7D%5Ccdot%20%283%29%5E%7B5%7D%7D%7B3%5Ccdot%20%28-5%29%5E%7B0%7D%5Ccdot%20%283%29%5E%7B4%7D%7D%5D%5E%7B2%7D)
![=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}](https://tex.z-dn.net/?f=%3D%5C%7B%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5B%28-5%29%5E%7B-1-0%7D%5Ctimes%20%283%29%5E%7B5-4%7D%7D%5D%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5C%7B%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B-1%7D%7B5%7D%5Ctimes%203%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5C%7B-%5Cfrac%7B2%7D%7B5%7D%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%7D%7B25%7D)
Thus, the correct option is option (3) 4 ÷ 25.
Answer:
First table: 2x+1=y
Second table: 3x+2=y
Step-by-step explanation:
It was really just testing it out, checking to see if an equation worked for one row, then try in the next. Its hard to explain, but its really just guess and check ;D
I hope this helps!
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Actually Welcome to the Concept of the volumes.
Here given as, r= 6.2 mm, h = 10.8 mm, π=3.14
hence, the volume of the cone is
Volume = 1/3(πr^2h)
===> vol = 1/3(3.14*(6.2)^2*(10.8))
==> Vol = 1/3*(1303.57)
==> Vol = 434.52 mm^3
Hence the volume of the cone is 434.52 mm^3
Answer:
36
Step-by-step explanation:
X/100% x 140 = 50.4
X x 140 = 50.4 x 100
X x 140 = 5040
X = 5040/140
X = 36