ANSWER
x=100,y=10
EXPLANATION
The given logarithmic equations are;
![log_{10}( {x}^{2} {y}^{3} ) = 7](https://tex.z-dn.net/?f=%20log_%7B10%7D%28%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B3%7D%20%29%20%20%3D%207)
This implies that,
![{x}^{2} {y}^{3} = {10}^{7} ...(1)](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B3%7D%20%20%3D%20%20%7B10%7D%5E%7B7%7D%20...%281%29)
and
![log_{10}( \frac{x}{y} ) = 1](https://tex.z-dn.net/?f=%20log_%7B10%7D%28%20%5Cfrac%7Bx%7D%7By%7D%20%29%20%3D%201)
This implies that,
![\frac{x}{y} = {10}^{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7By%7D%20%20%3D%20%20%7B10%7D%5E%7B1%7D%20)
![x = 10y...(2)](https://tex.z-dn.net/?f=x%20%3D%2010y...%282%29)
Put equation (2) into equation (1)
![{(10y)}^{2} {y}^{3} = {10}^{7}](https://tex.z-dn.net/?f=%7B%2810y%29%7D%5E%7B2%7D%20%20%7By%7D%5E%7B3%7D%20%20%3D%20%20%7B10%7D%5E%7B7%7D)
![10 ^{2} y^{2} {y}^{3} = {10}^{7}](https://tex.z-dn.net/?f=10%20%5E%7B2%7D%20y%5E%7B2%7D%20%20%7By%7D%5E%7B3%7D%20%20%3D%20%20%7B10%7D%5E%7B7%7D)
![{y}^{5} = {10}^{5}](https://tex.z-dn.net/?f=%7By%7D%5E%7B5%7D%20%20%3D%20%20%7B10%7D%5E%7B5%7D)
Hence y=10.
This implies
![x = 10(10) = 100](https://tex.z-dn.net/?f=x%20%3D%2010%2810%29%20%3D%20100)
Answer:
5/6
Step-by-step explanation:
There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6
Have a good day :)
Step-by-step explanation:
Part A
A) The denominator is 665, so this is a terminating decimal.
B) 11/99 = 1/9 = 0.1111...
C) 256/999 = 0.256256256...
D) 25/909 = 275/9999 = 0.027502750275...
B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits. So the correct answer is C.
Part B
A decimal that can be written as a ratio of integers is a rational number.
[2^(1/2)*(2^(3/4)]<span>^2</span>
the answer is √2^5