Answer:
x = 2
Step-by-step explanation:
![\rm Solve \: for \: x: \\ \rm \longrightarrow 4 (3 x - 1) = 20 \\ \\ \rm Divide \: both \: sides \: of \: 4 (3 x - 1) = 20 \: by \: 4: \\ \rm \longrightarrow \dfrac{4(3x - 1)}{4} = \dfrac{20}{4} \\ \\ \rm \dfrac{4}{4} = 1: \\ \rm \longrightarrow 3 x - 1 = \dfrac{20}{4} \\ \\ \rm \dfrac{20}{4} = 5: \\ \rm \longrightarrow 3 x - 1 = 5 \\ \\ \rm Add \: 1 \: to \: both \: sides: \\ \rm \longrightarrow 3 x + (1 - 1) = 1 + 5 \\ \\ \rm 1 - 1 = 0: \\ \rm \longrightarrow 3 x = 5 + 1 \\ \\ \rm 5 + 1 = 6: \\ \rm \longrightarrow 3 x = 6 \\ \\ \rm Divide \: both \: sides \: of \: 3 x = 6 \: by \: 3: \\ \rm \longrightarrow \dfrac{3x}{3} = \dfrac{6}{3} \\ \\ \rm \dfrac{3}{3} = 1: \\ \rm \longrightarrow x = \dfrac{6}{3} \\ \\ \rm \dfrac{6}{3} = 2 : \\ \rm \longrightarrow x = 2](https://tex.z-dn.net/?f=%20%5Crm%20Solve%20%5C%3A%20%20for%20%5C%3A%20%20x%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%204%20%283%20x%20-%201%29%20%3D%2020%20%5C%5C%20%20%5C%5C%20%20%5Crm%20Divide%20%20%5C%3A%20both%20%20%5C%3A%20sides%20%5C%3A%20%20of%20%20%5C%3A%204%20%283%20x%20-%201%29%20%3D%2020%20%20%5C%3A%20by%20%20%5C%3A%204%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%20%20%5Cdfrac%7B4%283x%20-%201%29%7D%7B4%7D%20%20%3D%20%20%5Cdfrac%7B20%7D%7B4%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cdfrac%7B4%7D%7B4%7D%20%20%3D%201%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%203%20x%20-%201%20%3D%20%20%5Cdfrac%7B20%7D%7B4%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cdfrac%7B20%7D%7B4%7D%20%3D%205%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%203%20x%20-%201%20%3D%205%20%5C%5C%20%20%5C%5C%20%20%5Crm%20Add%20%5C%3A%20%201%20%20%5C%3A%20to%20%20%5C%3A%20both%20%20%5C%3A%20sides%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%203%20x%20%2B%20%281%20-%201%29%20%3D%201%20%2B%205%20%5C%5C%20%20%5C%5C%20%20%5Crm%201%20-%201%20%3D%200%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%203%20x%20%3D%205%20%2B%201%20%5C%5C%20%20%5C%5C%20%20%5Crm%205%20%2B%201%20%3D%206%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%203%20x%20%3D%206%20%5C%5C%20%20%5C%5C%20%20%5Crm%20Divide%20%5C%3A%20%20both%20%20%5C%3A%20sides%20%5C%3A%20%20of%20%20%5C%3A%203%20x%20%3D%206%20%5C%3A%20%20by%20%5C%3A%20%203%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%20%20%5Cdfrac%7B3x%7D%7B3%7D%20%20%3D%20%20%5Cdfrac%7B6%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cdfrac%7B3%7D%7B3%7D%20%20%3D%201%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%20x%20%3D%20%20%5Cdfrac%7B6%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cdfrac%7B6%7D%7B3%7D%20%20%3D%202%20%3A%20%5C%5C%20%20%5Crm%20%20%5Clongrightarrow%20%20x%20%3D%202)
1. The cube root of 384 can be rewritten as the cube root of (8*48). That can be simplified to 2 cube root of 48. That can be simplified down further to 2 cube root of (6*8), which is 2*2 cube root of 6, or 4 cube root of 6. So, the answer is C.
You do the same thing for each of the problems. If you actually want me to just give you the answers, they are:
1. C
2. D
3. D
If you need work, ask me in my inbox.
Using a calculator, it is found that the correlation coefficient is of 0.997.
<h3>What is a correlation coefficient?</h3>
It is an index that measures correlation between two variables, assuming values between -1 and 1.
If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
In this problem, we have the data-set for the weight and for the height. To find the coefficient, we insert each data-set in the calculator. Doing this, we find that the coefficient is of 0.997.
More can be learned about correlation coefficients at brainly.com/question/25815006
The train is going 140km per hour. 140 x 5.5 = 770, so it will take 5 and a half hours.
Answer:
The answer is "-9 feet and Ground-level".
Step-by-step explanation:
Given value:
total length or distance from apple tree = 9 feets
In the calculation of the distance between both the ground and the tree will be the same.
If he gets higher 9 feet, he will go back to the ground 9 feet, in this case, the represents ground value is equal to 0.
In the calculation of absolute values it value is opposite but the same.