Answer:
The average rate of change is 
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is given by;

We want to find the average rate of change of the function represented in the table from x=-2 to x=2.

From the table f(-2)=25 and f(2)=9
The average rate of change from x=-2 to x=2 is



The probability that the train will be there when Alex arrives is 5/18
If Alex arrives at any time after 1.20pm the chances that train will be there is 1/3.
However if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.
The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.
By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm
we get the final answer by
=1/3( 1/6 + 1/3 + 1/3)
=5/18
So, the probability that the train will be there when Alex arrives is 5/18
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We have:
Volume of cone = 535 cm³ at the maximum
Height of cone= 8cm
We know the formula to find volume of cone is

We need to find the radius of the base of the cone





to the nearest one decimal place
The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm
Answer:
Read Below
Step-by-step explanation:
we can represent a function using a graph. Graphs display many input-output pairs in a small space. The visual information they provide often makes relationships easier to understand. We typically construct graphs with the input values along the horizontal axis and the output values along the vertical axis.
The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular
x
value. The
y
value of a point where a vertical line intersects a graph represents an output for that input
x
value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that
x
value has more than one output. A function has only one output value for each input value.