Answer:
(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).
Step-by-step explanation:
Using the identity for the difference of 2 squares;
a^2 - b^2 = (a - b)(a + b)
we put a^2 = 81x^8 and b^2 = 1 giving
a = 9x^4 and b = 1, so:
81x^8 − 1 = (9x^4 - 1)(9x^4 + 1)
Applying the difference of 2 squares to 9x^4 - 1:
= (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).
Answer:
$0.11
Step-by-step explanation:
Divide 2.59 by 24 = 0.11 (rounded up)
Answer:
-1/3, -1/4, -3/10, -1/8, -1/16, 1/3, 1/4, 3/10, 1/8, 2/5.
Step-by-step explanation:
-2/5 is -0.4 and 1/2 is 0.5
Ten rational numbers in between are, -0.33333 (-1/3), -0.25 (-1/4), -0.3 (-3/10), -0.125 (-1/8), -0.0625 (-1/16), 0.33333 (1/3), 0.25 (1/4), 0.3 (3/10), 0.125 (1/8), 0.4 (2/5)
Answer:
Option A - 
Step-by-step explanation:
Given: The volume of a cylinder = 
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is
(1)
The formula for volume of a cylinder is
(2)
Substituting
in equation (2), we get,

Given that the cone has the same radius and height of that of the cylinder, let us substitute
in equation (1)

Thus, the volume of a cone with the same radius and height of a cylinder is
.
Answer:
see the explanation
Step-by-step explanation:
we now that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem we have

This is the equation of the line in slope intercept form
where

The given equation not represent a proportional relationship, because the line not pass through the origin
In a proportional relationship the value of b (y-intercept) is equal to zero