Answer:
a) Angle XBC = 55° because it's a corresponding angle
AXY = XBC
b) 180° - (55° × 2) = 70°
Answer:
9m + 16n
Step-by-step explanation:
14m+2n-5m+20m-6n
9m+2n+20n-6n
add like variable
9m + 16n
Answer:
a) -0.5
Step-by-step explanation:
Correlation
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
- Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.
Anxiety symptoms and life satisfaction are negatively correlated. As life satisfaction increases the anxiety symptoms decreases.
Thus, a moderate correlation between them can be expressed by a correlation coefficient of -0.5
Answer:
Step-by-step explanation:
We begin by solving for x in term of y
We can use the disk method to calculate the volume of rotation around the y axis
Where 
![V = \int\limits^5_4 {\pi \left(\frac{e^y}{3}\right)^2} \, dy\\V = \frac{\pi}{9}\int\limits^5_4 {e^{2y}} \, dy\\\\V = \frac{\pi}{9}\left[\frac{e^{2y}}{2}\right]^5_4\\V = \frac{\pi}{9}(e^{10}/2 - e^8/2) = \frac{\pi}{18}(e^{10} - e^8)\\ V = \frac{\pi}{18}19045.5 \approx 3324](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E5_4%20%7B%5Cpi%20%5Cleft%28%5Cfrac%7Be%5Ey%7D%7B3%7D%5Cright%29%5E2%7D%20%5C%2C%20dy%5C%5CV%20%3D%20%5Cfrac%7B%5Cpi%7D%7B9%7D%5Cint%5Climits%5E5_4%20%7Be%5E%7B2y%7D%7D%20%5C%2C%20dy%5C%5C%5C%5CV%20%3D%20%5Cfrac%7B%5Cpi%7D%7B9%7D%5Cleft%5B%5Cfrac%7Be%5E%7B2y%7D%7D%7B2%7D%5Cright%5D%5E5_4%5C%5CV%20%3D%20%5Cfrac%7B%5Cpi%7D%7B9%7D%28e%5E%7B10%7D%2F2%20-%20e%5E8%2F2%29%20%3D%20%5Cfrac%7B%5Cpi%7D%7B18%7D%28e%5E%7B10%7D%20-%20e%5E8%29%5C%5C%20V%20%3D%20%5Cfrac%7B%5Cpi%7D%7B18%7D19045.5%20%5Capprox%203324)
615.44 rounded to the nearest tenth is 615.4
