The pattern goes like this:
one number, the next number is the first number doubled, then the third number is the second number + 1, and so on.
So, you see that 3 * 2 = 6, and then 6 + 1 = 7, and so on. This means that you have to multiply 63 by 2, and get 126, and then add 1 to get 127.
So, the next number in the pattern is 126.
Answer:
The last choice, the graph.
Step-by-step explanation:
The 4 relations are:
A.
A set of ordered pairs.
This is not a function because 2 ordered pairs have the same x-coordinate, 1.
B.
Table.
All ordered pairs have 0 as the x-coordinate. Since the same x-coordinate appears more than once, it is not a function.
C.
x = 3y^2 - 7
This is a function of y, and it is a horizontal parabola, so it does not pass the vertical line test. It is not a function.
D.
The graph.
This is a function because it passes the vertical line test.
Answer: The last choice, the graph.
The graph shows the height h, in feet, of s football at time t, in seconds, from the moment it was kicked at ground level.
We are supposed to find the average rate of change in height from t=1.5 seconds to t=1.75 seconds.
Average rate of change in height=
As we can see from the the change in distance for the time interval 1.5 second to 1.75 second=
and time=
Average rate of change in height=
=20ft/sec
Hence Required Rate of change is -20 ft/sec, because its falling(In the direction of negative y-aixs)
Answer:
In physics, the line of action (also called line of application) of a force F is a geometric representation of how the force is applied. It is the line through the point at which the force is applied in the same direction as the vector F→.[1][2]
The line of action is shown as the vertical dotted line. It extends in both directions relative to the force vector, but is most useful where it defines the moment arm.
The concept is essential, for instance, for understanding the net effect of multiple forces applied to a body. For example, if two forces of equal magnitude act upon a rigid body along the same line of action but in opposite directions, they cancel and have no net effect. But if, instead, their lines of action are not identical, but merely parallel, then their effect is to create a moment on the body, which tends to rotate it.
Calculation of torque
References
Last edited 20 days ago by Belomaad
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Torque
Physics concept
Net force
The overall force acting upon an object. In order to calculate the net force, the body is isolated and interactions with the environment or other constraints are represented as forces and torques in a free-body diagram
Step-by-step explanation:
Formula
F=G{\frac{m_1m_2}{r^2}}
F = force
G = gravitational constant
m_1 = mass of object 1
m_2 = mass of object 2
r = distance between centers of the masses
Answer:
B) 67
Step-by-step explanation:
