Answer:
![47.25\](https://tex.z-dn.net/?f=47.25%5C)
Step-by-step explanation:
![42 \times 1.125](https://tex.z-dn.net/?f=42%20%5Ctimes%201.125)
![=47.25](https://tex.z-dn.net/?f=%3D47.25)
Answer:
5 1/2
Step-by-step explanation:
9 3/5 - 4 1/10
First you need to get common denominator, as we see that we need to get the 5 from the 3/5 to ten, so we multiply 3/5 by 2 on both of the numerator and denominator and you will get 6/10. So the new fraction would be 9 6/10 - 4 1/10 = which would be subtractable. Therefore the answer would be 5 5/10 which equals
5 1/2
Answer:
![a_{10}=\dfrac{1}{128}](https://tex.z-dn.net/?f=a_%7B10%7D%3D%5Cdfrac%7B1%7D%7B128%7D)
Step-by-step explanation:
In the geometric series:
![a_1=4\\ \\r=\dfrac{1}{2}](https://tex.z-dn.net/?f=a_1%3D4%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B1%7D%7B2%7D)
The nth term of the geometric sequence can be calculated using formula
![a_n=a_1\cdot r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D)
In your case, n = 10, then
![a_{10}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^{10-1}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^9\\ \\=2^2\cdot \dfrac{1}{2^9}\\ \\=\dfrac{1}{2^{9-2}}\\ \\=\dfrac{1}{2^7}\\ \\=\dfrac{1}{128}](https://tex.z-dn.net/?f=a_%7B10%7D%5C%5C%20%5C%5C%3D4%5Ccdot%20%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E%7B10-1%7D%5C%5C%20%5C%5C%3D4%5Ccdot%20%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E9%5C%5C%20%5C%5C%3D2%5E2%5Ccdot%20%5Cdfrac%7B1%7D%7B2%5E9%7D%5C%5C%20%5C%5C%3D%5Cdfrac%7B1%7D%7B2%5E%7B9-2%7D%7D%5C%5C%20%5C%5C%3D%5Cdfrac%7B1%7D%7B2%5E7%7D%5C%5C%20%5C%5C%3D%5Cdfrac%7B1%7D%7B128%7D)