Answer:
Need the graph for final answer. Use the values of the graph to substitute into the slope formula and simplify.
Step-by-step explanation:
The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the input and output values of the function over the interval.
Slope:
Substitute the values for your function into the slope formula and simplify.
Answer:
An Inverse variation states that a relationship between two variables in which the product is always constant.
If one of the variable increases then the other decreases in proportion so that the product is unchanged.
if y is inversely proportional to x, then the equation is of the form
, where k is constant.
As per the given condition, A constant force acts upon an object, the acceleration of the object varies inversely with it's mass.
i.e,
By definition of inverse variation;
. ......[1] ,where F is the constant force.
It is given that an object has mass(m)= 4kg and the acceleration of an object(a) = 14
Substitute these in [1] to find the constant force F;
or
Now, if the same force acts upon the another object whose mass (m) = 7 kg then calculate acceleration.
[1]⇒
therefore, the acceleration of an another object is,
Answer:
Option D
Step-by-step explanation:
<u>Square:</u>
Side = 25 ft
Area of square = side * side
= 25*25
= 625 square ft
<u>Area of semicircle:</u>
diameter = 25 ft
r = 25/2 = 12.5 ft
Area of the shaded region = area of square - area of semicircle
= 625 - 245.3
= 379.7 square ft
