Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
Ha. That looks alot like i-ready. (i-ready sucks butt.)
But the horror that is i-ready aside, your answer is the third one : The proportion of grandparents that feel safe entering their account information online is 0.32.
32% converted to a decimal is 0.32, and 68% converted to a decimal is 0.68. That would mean that the proportion for grandparents that feel safe doing so is 0.32, and the number of grandparents that don't feel safe doing so is 0.68.
Answer:
![5\sqrt{3}](https://tex.z-dn.net/?f=5%5Csqrt%7B3%7D)
Step-by-step explanation:
![\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B2%5Csqrt%7B8%5E2%2B15%5E2%7D%2B%5Csqrt%7B9%5E2%2B40%5E2%7D%7D%3D%3F%5C%5C%5C%5C1%29%5Csqrt%7B8%5E2%2B15%5E2%7D%3D%5Csqrt%7B289%7D%3D17%5C%5C2%29%5Csqrt%7B9%5E2%2B40%5E2%7D%3D%5Csqrt%7B1681%7D%3D41%5C%5C3%292%5Ctimes17%3D34%5C%5C4%29%5Csqrt%7B34%2B41%7D%3D5%5Csqrt%7B3%7D)
All Done!
Answer: Irrational number
If the decimal digits repeat forever, then the repeating decimal is considered rational.
For instance, 2/99 = 0.020202020202... where the "02" repeats forever
If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.
Answer:
x - 5
Step-by-step explanation:
![((x - 5) {}^{ \frac{3}{2} } ) {}^{ \frac{2}{3} }](https://tex.z-dn.net/?f=%28%28x%20-%205%29%20%7B%7D%5E%7B%20%5Cfrac%7B3%7D%7B2%7D%20%7D%20%29%20%7B%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20)
![(x - 5) {}^{ \frac{3}{2} } { \times }^{ \frac{2}{3} }](https://tex.z-dn.net/?f=%28x%20-%205%29%20%7B%7D%5E%7B%20%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%7B%20%5Ctimes%20%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20)
![(x - 5) {}^{ \frac{6}{6} }](https://tex.z-dn.net/?f=%28x%20-%205%29%20%7B%7D%5E%7B%20%5Cfrac%7B6%7D%7B6%7D%20%7D%20%20)
![(x - 5) {}^{1}](https://tex.z-dn.net/?f=%28x%20-%205%29%20%7B%7D%5E%7B1%7D%20)
Therefore x - 5