Answer:
(y^2)^5 · y^8 = y^10 * y^8 = y^18
Hope this helps and not to late. Have a great day!
Answer:
43.234%
Step-by-step explanation:
40 Percent of 285= 14.035%
60 percent of 980 = 6.122%
75 percent of 325 = 23.077%
Sum is 43.234%
Answer:
100
Step-by-step explanation:
To find mean/average you add all of them together, then divide by however number there are.
So
99+88+97+107+100+109 = 600/6 = 100
we have
![7=-2x^{2} +10x](https://tex.z-dn.net/?f=7%3D-2x%5E%7B2%7D%20%2B10x)
Factor the leading coefficient
![7=-2(x^{2} -5x)](https://tex.z-dn.net/?f=7%3D-2%28x%5E%7B2%7D%20-5x%29)
Complete the square. Remember to balance the equation by adding the same constants to each side
![7-12.50=-2(x^{2} -5x+2.5^{2})](https://tex.z-dn.net/?f=7-12.50%3D-2%28x%5E%7B2%7D%20-5x%2B2.5%5E%7B2%7D%29)
![-5.50=-2(x^{2} -5x+2.5^{2})](https://tex.z-dn.net/?f=-5.50%3D-2%28x%5E%7B2%7D%20-5x%2B2.5%5E%7B2%7D%29)
Divide both sides by ![-2](https://tex.z-dn.net/?f=-2)
![2.75=(x^{2} -5x+2.5^{2})](https://tex.z-dn.net/?f=2.75%3D%28x%5E%7B2%7D%20-5x%2B2.5%5E%7B2%7D%29)
Rewrite as perfect squares
![2.75=(x-2.5)^{2}](https://tex.z-dn.net/?f=2.75%3D%28x-2.5%29%5E%7B2%7D)
Taking the square roots of both sides (square root property of equality)
![x-2.5=(+/-)\sqrt{2.75}](https://tex.z-dn.net/?f=x-2.5%3D%28%2B%2F-%29%5Csqrt%7B2.75%7D)
Remember that
![\sqrt{2.75}=\sqrt{\frac{11}{4}}= \frac{\sqrt{11}}{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2.75%7D%3D%5Csqrt%7B%5Cfrac%7B11%7D%7B4%7D%7D%3D%20%5Cfrac%7B%5Csqrt%7B11%7D%7D%7B2%7D)
![x-2.5=(+/-)\frac{\sqrt{11}}{2}](https://tex.z-dn.net/?f=x-2.5%3D%28%2B%2F-%29%5Cfrac%7B%5Csqrt%7B11%7D%7D%7B2%7D)
![x=2.5(+/-)\frac{\sqrt{11}}{2}](https://tex.z-dn.net/?f=x%3D2.5%28%2B%2F-%29%5Cfrac%7B%5Csqrt%7B11%7D%7D%7B2%7D)
![x=2.5+\frac{\sqrt{11}}{2}=\frac{5+\sqrt{11}}{2}](https://tex.z-dn.net/?f=x%3D2.5%2B%5Cfrac%7B%5Csqrt%7B11%7D%7D%7B2%7D%3D%5Cfrac%7B5%2B%5Csqrt%7B11%7D%7D%7B2%7D)
![x=2.5-\frac{\sqrt{11}}{2}=\frac{5-\sqrt{11}}{2}](https://tex.z-dn.net/?f=x%3D2.5-%5Cfrac%7B%5Csqrt%7B11%7D%7D%7B2%7D%3D%5Cfrac%7B5-%5Csqrt%7B11%7D%7D%7B2%7D)
<u>the answer is</u>
The solutions are
![x=\frac{5+\sqrt{11}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%2B%5Csqrt%7B11%7D%7D%7B2%7D)
![x=\frac{5-\sqrt{11}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5-%5Csqrt%7B11%7D%7D%7B2%7D)
Answer:
+9
Step-by-step explanation:
Charge of the nucleus = + number of protons