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.

8 0

3 years ago

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t

Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot (n-k)!}$

Compute the number of ways to select 37 people from 101 as follows:

${101\choose 37}=\frac{101!}{37!\cdot (101-37)!}$

$=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775$

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

5 0

3 years ago

What is the value of x in the equation 2x^2 +5x=12 *show work pls thankyouuuu

Andreyy89

Answer:

Step-by-step explanation:

you can factor this pretty straight forward

2x^2 +5x=12

2x^2 +5x-12=0

Use FOIL

(2x-3)(x-4)=0

then solve for each part separately, b/c if either side is zero the whole thing is zero

2x-3 = 0

2x = 3

x = 3/2

then

x-4=0

x = 4

3 0

3 years ago