Two fraction between 0 and 1/2 and 1/3 and 1/6. 1/3 = .33 and 1/6= .16. we know that 1/3 is greater than 1/6 because the value is larger. .33 > .16
.33 is definitely greater than 1.6
Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as
, where
and
.
Expand the function to obtain:

Differentiate wrt x to obtain:

To find the point where the maximum value occurs, we solve



Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
, 
This means the maximum volume occurs at
.
Substitute
into
to get the maximum volume.

The maximum volume of the open box is 24.26 cm³
See attachment for graph.
Answer:
The equation of the line in point-slope form is
.
Step-by-step explanation:
According to the statement, let
and
. The equation of the line in point-slope form is defined by the following formula:
(1)
Where:
,
- Coordinates of the point A, dimensionless.
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
(2)
If we know that
and
, then the equation of the line in point-slope form is:



From (2):


By (1):

The equation of the line in point-slope form is
.
Answer:
265
Step-by-step explanation:
200+30=230
230+30=260
260+5=265
Answer:
132.73
Step-by-step explanation:
the equation for area of a circle is A=πr*2
if your diameter is 13 simply take half of that and plug into the equation
π(6.5)*2 which when put into a calculator comes out to 132.732289