I suppose we are to determine the proportionality constant of the variation. The equation for this proportionality is,
y = kwx / z
Substituting the known values,
320 = k(6)(20)/3
The value of k from the equation is 8.
The <em>correct answer</em> is:
A∪B={}
Explanation:
Since A∩B = ∅, we know that A and B have no elements in common. This means they are disjoint.
Since the universal set is made up of A and B, and A and B have no elements in common, then A is equal to the complement of B, or A = B'.
Since A and B have no elements in common, A is not a subset of B.
Since we are told at the beginning that A and B are not the empty set, there is no way that their union would be empty. The union of A and B, or A∪B, would contain at least two distinct elements, one from A and one from B.
Answer:
X =8
Step-by-step explanation:
DF = DE + EF
15 = X+1 + X-2
16 = 2X
X = 8
Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where
models the height of the ball in meters and
the time.
Now, let's find the time
when the ball Sara kicked hits the ground (this is when
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by
:
(4)
This quadratic equation can be written in the form
, and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.
Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

Therefore, the equations of Nancy and Juan are
and
respectively.