Answer:
Hello,
Step-by-step explanation:
![3*2^{2x+3}-5*2^{2x+2}-156=0\\\\6*2^{2x+2}-5*2^{2x+2}=156\\\\2^{2x+2}=156\\\\(2x+2)*ln(2)=ln(156)\ (naturel\ logarithm)\\\\2x+2=\dfrac{ln(156)}{ln(2)} \\\\x=\dfrac{\dfrac{ln(156)}{ln(2)} -2}{2} \\\\x=\dfrac{ln(156)}{ln(4)}-1 \\x\approx{2,64270...}](https://tex.z-dn.net/?f=3%2A2%5E%7B2x%2B3%7D-5%2A2%5E%7B2x%2B2%7D-156%3D0%5C%5C%5C%5C6%2A2%5E%7B2x%2B2%7D-5%2A2%5E%7B2x%2B2%7D%3D156%5C%5C%5C%5C2%5E%7B2x%2B2%7D%3D156%5C%5C%5C%5C%282x%2B2%29%2Aln%282%29%3Dln%28156%29%5C%20%28naturel%5C%20logarithm%29%5C%5C%5C%5C2x%2B2%3D%5Cdfrac%7Bln%28156%29%7D%7Bln%282%29%7D%20%5C%5C%5C%5Cx%3D%5Cdfrac%7B%5Cdfrac%7Bln%28156%29%7D%7Bln%282%29%7D%20-2%7D%7B2%7D%20%5C%5C%5C%5Cx%3D%5Cdfrac%7Bln%28156%29%7D%7Bln%284%29%7D-1%20%5C%5Cx%5Capprox%7B2%2C64270...%7D)
It is 18 because the radius is half the diameter and 9 x 2 = 18.
Answer:
Have them solve mathematical problems and those with the top two scores can go
Step-by-step explanation:
Fair game
Answer:
![\frac{7}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B18%7D)
Step-by-step explanation:
Add the unshaded parts and subtract the result from 1 ( whole circle )
+
( the LCM of 2 and 9 is 18 )
=
+ ![\frac{2(1)}{2(9)}](https://tex.z-dn.net/?f=%5Cfrac%7B2%281%29%7D%7B2%289%29%7D)
=
+ ![\frac{2}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B18%7D)
= ![\frac{11}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B18%7D)
shaded = 1 -
=
-
= ![\frac{7}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B18%7D)