The average can be calclculated as follows:
average = sum of number/number of numbers
average = (19+45) / 2 = 64/2 = 32
Answer:
The total cost of producing 6 widgets is $231.
Step-by-step explanation:
Answer:
0.0032
Step-by-step explanation:
We need to compute
by the help of third-degree Taylor polynomial that is expanded around at x = 0.
Given :
< e < 3
Therefore, the Taylor's Error Bound formula is given by :
, where 



Therefore, |Error| ≤ 0.0032
We have to find the parameter a so that (-1,2) is part of the function f(x) = ax²+4.
To check if a point is part of a function, we can replace the values of x and y = f(x) with the coordinates of the point and then, if the equation stays true, then the point is part of the function.
So for (x,y) = (-1,2) to be part of the function y = f(x), this equation has to stands true:

Then, the function would have to be f(x) = -2x² + 4.
We can check with a graph as:
Answer: a = -2
Answer: 1.44 centimeters cubed.
Step-by-step explanation:
To find the volume of a rectangular prism, use the following formula:
, where w equals the width, h equals the height, and l equals the length.
Substituting 0.6, 1, and 2.4 for the variables:
V = 0.6 * 1 * 2.4
V = 1.44 cm^3
The volume of the prism is 1.44 centimeters cubed.