Answer:
729 cubic meters
Step-by-step explanation:
Volume of cube is given by side^3
where side is length of the side
Given in the problem
side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .
Thus,
volume of cube = 9^3 = 9*9*9 = 729
Thus, volume of Haley's fort is 729 cubic meters.
Answer:
50
Step-by-step explanation:
Answer: There are 980 degrees of freedom for the within subjects factor.
Step-by-step explanation:
Since we have given that
Number of groups = 20
Number of participants in each group = 50
So, number of participants in 20 groups is given by

As we know that
Degrees of freedom for the within subjects factor would be

Hence, there are 980 degrees of freedom for the within subjects factor.
Answer:
Dee won
Step-by-step explanation:
Using < to mean "finished ahead of ", we are given ...
B = 3
D < B
D < C
A < C
D < A
Dee finished ahead of Air, Bart, and Caper, so Dee won the race.
_____
The order of finish must be D, A, B, C.
Answer:
1)
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and 
Then, we can find the slope of the line with the formula
:

Now we need to substitute the slope and one of the points into
and then solve for "b":

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute
into the linear equation
in order to find the height of the candle after burning 8 hours: