To solve this we are going to use the formula fro the force applied to a spring:
where
is the spring constant
is the extension
Since we know the
, we can replace that in our formula and solve for
:
where
is the acceleration
is the spring constant
is the extension
is the mass
We know for our problem that
,
, and
. So lets replace those values in our formula to find
:
We can conclude that the acceleration of the block when s=0.4m is
.
Solution:
Matte Satin Glossy Total
Homeowners 0.08 0.20 0.24 0.52
Contractors 0.04 0.26 0.18 0.48
Total 0.12 0.46 0.42 1
Approximately what percentage of contractors prefer the glossy finish?
Answer: Percentage of contractors who prefer the glossy finish is:
or 
Therefore, the option D. 37.5% is correct
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.
The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (
) and B(
) is given by the formula:
If point Q is at () and S at () and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:
Let us assume Q(−9,4) and S(7,−4)
We have the following equation:
If we graph this equation we realize that in fact this is an ellipse with
major axis matching the y-axis. So we can recognize these characteristics:
1. Center of the ellipse: The midpoint C<span> of the line segment joining the foci is called the </span>center<span> of the ellipse. So in this exercise this point is as follows:
</span>
2. Length of major axis:
The line through the foci is called the major axis<span>, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:</span>
3. Length of minor axis:
The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:
4. Foci:Let's find c as follows:
Then the foci are:
