Answer:
2 < x < 24
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
13 - 11 < x < 13 + 11
2 < x < 24
Answer:
a=l times w
Step-by-step explanation:
Answer:
pls mark brainy
Step-by-step explanation:
option (d) is correct.
An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Step-by-step explanation:
Given a compound inequality −44 > −2x − 8 ≥ −8
We have to write an equivalent form of compound inequality.
Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.
Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.
For given compound inequality, −44 > −2x − 8 ≥ −8
we have
Left side of inequality as −44 > −2x − 8
and right side of inequality as −2x − 8 ≥ −8
Thus, option (d) is correct.
Thus, An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Answer:
B. Since P-value is greater than the significance level, we fail to reject the null hypothesis
Explanation:
Given Significance Level is 0.05 and the P-Value is 0.078
Since P-value greater than the significance level the best explanation is given by
Option B i.e.,
Since P-value is greater than the significance level, we fail to reject the null hypothesis
Use the power rule for differentiation:
You can use this formula if you remember that a root is just a rational exponential:
![\sqrt[4]\ln(x) = (\ln(x))^{\frac{1}{4}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%5Cln%28x%29%20%3D%20%28%5Cln%28x%29%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20)
So, remembering that the derivative of the logarithm is 1/x, you have
Which you can rewrite as
![\dfrac{1}{4}(\ln(x))^{\frac{1}{4}-1}\dfrac{1}{x} =\dfrac{1}{4}(\ln(x))^{\frac{-3}{4}}\dfrac{1}{x} =\dfrac{1}{4}\dfrac{1}{\sqrt[4]{\ln(x))^3}}\dfrac{1}{x} = \dfrac{1}{4x\sqrt[4]{\ln(x))^3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%28%5Cln%28x%29%29%5E%7B%5Cfrac%7B1%7D%7B4%7D-1%7D%5Cdfrac%7B1%7D%7Bx%7D%20%3D%5Cdfrac%7B1%7D%7B4%7D%28%5Cln%28x%29%29%5E%7B%5Cfrac%7B-3%7D%7B4%7D%7D%5Cdfrac%7B1%7D%7Bx%7D%20%3D%5Cdfrac%7B1%7D%7B4%7D%5Cdfrac%7B1%7D%7B%5Csqrt%5B4%5D%7B%5Cln%28x%29%29%5E3%7D%7D%5Cdfrac%7B1%7D%7Bx%7D%20%3D%20%5Cdfrac%7B1%7D%7B4x%5Csqrt%5B4%5D%7B%5Cln%28x%29%29%5E3%7D%7D%20)
