This is a matter of Amount = Rate times time.
First, find the area of the circular opening. A = pi (r^2). Here,
A = pi(10.5 inches)^2.
To obtain the volume of water that flows out of the pipe per second, multiply this area by the 30 inches per second rate.
That comes out to a volume per second of Volume rate = pi*(10.5 inches)^2 * 30 inches per second:
Volume rate = 3.14(110.25 in^2)(30 inches/sec)
= 10390.8 cubic inches per second
Convert this result to cubic feet per second. Recall that 1 cubic foot = (12 inches)^3, or 1728 cubic inches / 1 cubic foot.
Thus, 10390.8 cubic inches per second comes out to
10390.8 cubic inches
---------------------------- = Just over 6 cubic feet per sec.
1728 cu. inches
---------------------
1 cu. ft
How many sec in 1 day? 1 day = 24 hours
1 hour = 60 minutes
60 seconds = 1 minute
Figure out how many seconds there are in 1 day, and then multiply your result by 6 cu. ft. / sec.
Factoring the top and bottom of the fraction we get
(x + 4)(x - 3
---------------
(x + 4) (x - 4)
Answer:
The two values of production level are:
x = 20
or
x = 140
Step-by-step explanation:
Let's write the Profit equation by subtracting the cost function from the revenue one:
Now, we set to find the production level "x" to give us a profit of $ 700:
So we solve this quadratic equation using the quadratic formula:
which gives two posible solutions: x = 20, or x = 140
Answer:
h=2/3
Step-by-step explanation:
6h-1=3
add one to each side
6h=4
divide by 6
h=4/6
Simplify (divide by 2)
h=2/3
