If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
Answer:
Forces in our Universe
Step-by-step explanation:
a)
First of all we have,
and,
We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,
That is,
For this case F is a conservative field and the line integral is independent of the path. Thus, defining 
and 
. So the amount of work on the movement of the object from P1 to P2 is,
2) The gravitational force field is given by,
The maximum distance from the earth to the sun is 
km and the minimum distance is 
km. The mass values of the bodies are given by m = 
kg, M = 
kg and the constant G is 
In this way we raise the problem like this,
Answer:
Slope = 46.000/2.000 = 23.000
x-intercept = 6/23 = 0.26087
y-intercept = -6/1 = -6.00000
For the first question, the chance of rolling a six is a 1/6 chance because there is one six and six different sides that could be rolled. As a percent, it would be 16.6 %. The probability of rolling an odd number on the second roll would be a 3/6 chance, which as a percent is 50 %. For the second question, both probabilities are 33 % because in both instances you are drawing three cards from nine total, so it would be 3/9. For the third question, the probability of drawing a blue marble is 3/5, because there are three blue marbles and five total marbles. As a percent, this is 60 %. Following this up with a green marble would be 2/4, because there are now 2 green marbles and four total marbles. One of the marbles was not replaced, so we have one less marble. 2/4 as a percent is 50%.
