Answer: YES
Step-by-step explanation:
We need to write out the expressions
P= {m}
Q= {n}
R= {m+n}
If 2m=n then we can say;
P= {½n} Q= {n} & R= {³/²n}
It is obvious that the smaller number in Q is greater than the largest number in P
We can make some assumptions.
Let n= (x,y,z)
Consequently,
P={½x,½y,½z} Q={x,y,z} and R= {1.5x,1.5y,1.5z}
Therefore the median will be the middle element,
Median of P= ½y
Median of Q = y
Median of R = 1.5y
And 1.5y>1.5y
Then we can agree that the median of R is greater than the median of both P and Q
Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
Step-by-step explanation:
The area is
Since the width is
Then, the length will be
