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Good question. Let's try this. How about People per meter squared. The average 2 bedroom apartment in the city near where I live is about 94 square meters. If there were say 100 people at a party in his home, then the number of people per square meter would be 100 / 94 = 1.06 people / square meter.
If however he called those in his home to join him for breakfast and 7 people responded then he would have 7 / 94 = 0.0745 people per m^2 When the number is this small, it might make sense to go the other way. (m^2 per person). 94/7 = 13.4 meters per person. That makes far more sense. It means that every person has 13.4 meters^2 that he could call his own.
I currently don’t have any paper on me to graph it for you, but I am able to give you coordinates.
Explanation:
When given an equation in the form y=Mx+b, we can immediately get the x-intercept and y-intercept.
To get the x intercept:
Make y=0
0=-3x-6
-2=x
So your coordinates are (-2;0)
To get the y intercept:
It is the b value
y=-6
So your coordinates are (0;-6)
Plot those on your graph and draw a line through them, write the equation next to the line and put an arrow on either end of the line.
Hope this helps! Feel free to comment for any questions you may have.
Answer:
Step-by-step explanation:
This is more of a Physics problem than just a straight "math" problem because you need to know about torque and rotational equilibrium to solve it. The formula for torque is
torque = weight * length of the lever arm in meters
Since we are given the mass of each child, we need to solve for their weights, which is found by multiplying their masses by the pull of gravity, which is 9.8 m/sec/sec. This gives the weight of the 20 kg child to be 196 Newtons, and the weight of the 30-kg child to be 294 Newtons.
If the length between the 2 children is 3.5 meters, then let's say that the distance away that the heavier child is from the fulcrum is r. That makes the distance that the lighter child is away from the fulcrum as 3.5 - r. Now we can fill in the rotational equilibrium formula that says that the sum of the torques must equal 0 if the seesaw is to remain balanced. Because one torque is positive and one is negative, we can move the negative one over to the other side of the equals sign making them equal to each other, which is what rotational equilibrium is all about. Here's our formula thus far:
196(3.5 - r) = 294r and
686 - 196r = 294r and
686 = 490r so
r = 1.4
That's the distance that the heavier child is. The lighter child, then, is 3.5 - 1.4 so that distance is 2.1 meters
Answer:
904.78
Step-by-step explanation:
V = 4/3 pi r^2
4/3 pi 6^2
904.78
