Answer:
6
Step-by-step explanation:
root the 216 as it is a cube
:edge *edge *edge =volume
Since all edges are the same, just root it
I hope this helped if it did please mark me Brainliest
Answer:
d/dx ( 32x - 5)
Step-by-step explanation:
i think this is right please tell me if its not
Answer:
x= 10
Step-by-step explanation:
hay esta la respuesta:)
(a) x = 4
First, let's calculate the area of the path as a function of x. You have two paths, one of them is 8 ft long by x ft wide, the other is 16 ft long by x ft wide. Let's express that as an equation to start with.
A = 8x + 16x
A = 24x
But the two paths overlap, so the actual area covered will smaller. The area of overlap is a square that's x ft by x ft. And the above equation counts that area twice. So let's modify the equation by subtracting x^2. So:
A = 24x - x^2
Now since we want to cover 80 square feet, let's set A to 80. 80 = 24x - x^2
Finally, let's make this into a regular quadratic equation and find the roots.
80 = 24x - x^2
0 = 24x - x^2 - 80
-x^2 + 24x - 80 = 0
Using the quadratic formula, you can easily determine the roots to be x = 4, or x = 20.
Of those two possible solutions, only the x=4 value is reasonable for the desired objective.
(b) There were 2 possible roots, being 4 and 20. Both of those values, when substituted into the formula 24x - x^2, return a value of 80. But the idea of a path being 20 feet wide is rather silly given the constraints of the plot of land being only 8 ft by 16 ft. So the width of the path has to be less than 8 ft (the length of the smallest dimension of the plot of land). Therefore the value of 4 is the most appropriate.
Answer:
6.66 hours, that is, 6 hours and 40 minutes.
Step-by-step explanation:
If Mike can plow a field in 12 hours, we plows 1/12 of the field each hour.
If Phil can plow a field in 15 hours, we plows 1/15 of the field each hour.
So if they are working together, they can plow (1/12) + (1/15) of the field each hour, that is:
(1/12) + (1/15) = (5 + 4) / 60 = 9 / 60 = 3 / 20 = 1 / 6.66
So if they work together, they can plow the field in 6.66 hours, that is, 6 hours and 40 minutes.
