D=10 m is the answer.......
Answer:
Therefore the height of the water in the pool changes at the rate of
feet per minute.
Step-by-step explanation:
Given that the shape of swimming pool is right circular cylinder.
The rate of water pouring in the pool = 3 cubic feet per minute.
It means the rate of change of volume is 3 cubic feet per minute.
cubic feet per minute.
When the volume of the swimming pool changed it means the height of the water level of the pool change and the radius of the swimming pool remains constant.
Let the height of the pool be h.
The volume of the pool is =
cubic feet
cubic feet
Therefore,
v 
Differentiating with respect to t

Putting 



The change of height of the pool does not depend on the depth of the pool.
Therefore the rate of change of height of the water in the pool is
feet per minute.
Lets calculate linear equation
assume
y = f(x)= mx +b
now given
f(0) = 2
m×0+b = 2
b = 2
so b = 2
given f(4) = 0.125 = 1/8
m×4 + 2 = 1/8
4m = 1/8-2= -15/8
m = -15 /(8×4) = -15/32
so linear equation is
y = mx + b = -15x/32 + 2
exponential equation is same as you have written
y = 2(0.5)^x
now put values of x in each equation to get value of y
x =0
linear y = -15×0/32+2 = 2
exp y = 2(0.5)^0 = 2×1 = 2
x =1
linear y = -15×1/32+2 = 2-15/32= 49/32
exp y = 2(0.5)^1 = 2×1/2 = 1
x =2
linear y = -15×2/32+2 = 2-30/32= 17/16
exp y = 2(0.5)^2 = 2×1/4 = 0.5
x =3
linear y = -15×3/32+2 = 2-45/32= 19/32
exp y = 2(0.5)^3 = 2×1/8= 0.25
x =4
linear y = -15×4/32+2 = 2-60/32= 4/32 = 0.125
exp y = 2(0.5)^4= 2×1/16 = 1/8= 0.125
y = 5x, so 5 is the constant of proportionality
Answer:
37.5 sq. units.
Step-by-step explanation:
The coordinate of vertices of trapezoid ABCD are given,
From the diagram it is clear the area of ABCD =
{Since, AD ║ BC and AB is the perpendicular distance between the parallel lines }
Now, AB =
units
AD =
units
Again, BC =
units
Therefore, the area of trapezoid ABCD =
sq. units. (Answer)
We know, that the distance formula between two points
and
is
.