Answer:
See explanation
Step-by-step explanation:
1. Given the expression
![\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%20%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%20%7D)
Note that
![\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E5%7D%3Dx%5E%7B%5Cfrac%7B5%7D%7B7%7D%7D%20%5C%5C%20%5C%5C%5Csqrt%5B4%5D%7Bx%5E2%7D%3Dx%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
When dividing
by
we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

and the result is ![x^{\frac{3}{14}}=\sqrt[14]{x^3}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B3%7D%7B14%7D%7D%3D%5Csqrt%5B14%5D%7Bx%5E3%7D)
2. Given equation ![3\sqrt[4]{(x-2)^3} -4=20](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20-4%3D20)
Add 4:
![3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20-4%2B4%3D20%2B4%5C%5C%20%5C%5C3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%3D24)
Divide by 3:
![\sqrt[4]{(x-2)^3} =8](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20%3D8)
Rewrite the equation as:

Hence,

1/4 . . . . ........ .. . . . . . . . .. . .. . . .. . . .
Answer:
35 is the answer to #8 I believe.
Hi there!
»»————- ★ ————-««
I believe your answer is:
Scatterplot B
»»————- ★ ————-««
Here’s why:
- A scatterplot with a correlation coefficient of 0 would show no relationship between the variables at all. It will not form any line at any strength.
- Scatterplot B best resembles this. Notice how the plots do not resemble a line; they are just 'scattered' all over.
⸻⸻⸻⸻
I have attached a picture for reference.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
Step-by-step explanation:
Given
Let the first number = x
Let the second number = 2x + 4
Let the third number = 3x -5
The sum of the three numbers = 101
Equation
x + 2x + 4 + 3x - 5 = 101 Combine like terms on the left
x + 2x + 3x + 4 - 5 = 101 Combine
6x - 1 = 101 Add 1 to both sides
6x = 101 + 1
6x = 102 Divide by 6
6x/6 = 102/6
x = 17
Answer
The first number = 17
The second number = 2*17 + 4 = 34 + 4 = 38
The Third number = 3*17 - 5 = 51 - 5 = 46
Check
17 + 38 + 46 = 101