C
D is too low and the others are above 93 so its C
Answer:
y = 5z - x
Step-by-step explanation:
Given
z =
( multiply both sides by 5 to clear the fraction )
5z = x + y ( subtract x from both sides )
5z - x = y
Answer:
Step-by-step explanation:
Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

This parabola has vertex at (0,100) and symmetrical about y axis.
Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.
Hence coordinates of any rectangle are

Length of rectangle = 2a and width = 
Area of rectangle = lw = 
To find max area, use derivative test.

Hence maxima when first derivative =0
i.e. when a =2
Thus we find dimensions of the rectangle are l =4 and w = 96
Maximum area = 
Answer:
w = 0, 5
Step-by-step explanation:
"One rotation" would be the circumference of the wheel, which is
C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.
1 ft
Convert this to feet: 16*pi inches times ---------------
12 inches
Here "inches" cancels out and you are left with (4/3)pi ft.
So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.
Divide this into 700 feet:
700 ft 2100
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft 4