Which model is most appropriate for the data shown in the graph below?
a). quadratic
b). linear
c). exponential
d). line
! don't respond just for points!

The correct option is c.

Step-by-step explanation:

In a quadratic function, for more that one inputs there exist same output.

The rate of change of a line and linear  function is constant.

Conditions of an exponential function:

1. The rate of change of a exponential function is not constant. The exponential function increase or decrease gradually.

2. Domain of an exponential function is all real numbers.

3. For one input there exist a unique output.

From the given graph it is clear that the function is increasing at increasing rate. The given graph satisfy all the conditions of an exponential function, so the given graph represents an exponential function.

An exponential function is defined as

The graph passing through the points (1,1) and (2,3).

                    ..... (1)

                    ..... (2)

On solving (1) and (2), we get

Therefore the correct option is c.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq