Answer:
781250
Step-by-step explanation:
Let x = length of fenced side parallel to the side that borders the river
and y = length of each of the other two fenced sides
Then, x + 2y = 2500
<=> x = 2500- 2y
Area = xy = y(2500-2y)
= - + 2500y
The graph of the area function is a parabola opening downward.
The maximum area occurs when y = -2500/[2(-2)] = 625
x = 2500-2y = 1250
The maximum area that can be enclosed = xy = 1250*625 = 781250
Answer:
Please fins attached the required labelled drawing
Step-by-step explanation:
The given parameters are;
1) Lines AB and m are both coplanar on plane S and are perpendicular to each other intersecting at point B
2) Plane R and plane S intersect on line p
3) Line AB and line p are perpendicular to each other and both intersect with line n at point A
Answer:
The statement is true for every n between 0 and 77 and it is false for
Step-by-step explanation:
First, observe that, for n=0 and n=1 the statement is true:
For n=0:
For n=1:
From this point we will assume that
As we can see, and
. Then,
Now, we will use the formula for the sum of the first 4th powers:
Therefore:
and, because ,
Observe that, because and is an integer,
In concusion, the statement is true if and only if n is a non negative integer such that
So, 78 is the smallest value of n that does not satisfy the inequality.
Note: If you compute for 77 and 78 you will obtain: