To solve the problem shown above, you must apply the proccedure shown below:
1. You must use tthe formula for calculate the volume of a sphere, which is:
V=4πr³/3
V is the volume of the sphere.
r is the radius of the sphere (r=3.5 inches)
2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:
V=4πr³/3
V=4π(3.5 inches)³/3
3. Therefore, the answer is:
V=179.5 inches³
4 is the only factor common among all terms
Answer:
-95.78
Step-by-step explanation:
As the researcher decided to make the number of parties attended per week the explanatory variable, this would be variable x in the regression line, and of course, the variable y would be the number of text messages sent per day.
After constructing the linear regression equation, the researcher found that an approximate value
for the actual value of y could be represented by the line
Since this is an approximate value, it is not expected that it coincides with the actual value of y. We define then the residual for each value of x as the difference between the actual value of y and the approximation for the given x.
For the value x = 2 (the student attended 2 parties that week) the actual value of y is 20 (the student sent 20 text messages per day that week).
The approximate value of y would be according to the regression line
Hence, the residual value for x=2 would be
(32x⁴ - 12x² + 7x) / 2x
32x⁴/2x - 12x²/2x + 7x/2x
16x³ - 6x + 7/2
Answer:
The answer is 23 years.
Step-by-step explanation:
We will use the formula :

Here P = 220
r = 3%
A = 400
Putting these values in the formula we get,


Taking log on both sides,
ln(1.03)t=ln 2

t=23.44 or rounding to nearest, t=23 years
The graph of the function can be shown as below.