Mathematics, 28.06.2020 02:01 phagonphillips4675

Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 10 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. a. Find the flow rate in units of cubic feet per second, compare this flow rate to a river with an average flow rate of 30,000cfs.

b. The water level rose approximately ft.

Answers: 3

Show answers

Answers

Answer from: carthur71

Following are the solution to the given points:

For point a:

Water enters a metropolis at a peak pace of 8 billion gallons per day.

$\to 7.5 \ gallons = 1 \ foot^3 \\\\
\to 1 \ gallon = \frac{1}{7.5} \ foot^3\\
$

by which we get

$\to 8 \text{billion gallons} = (\frac{8}{7.5}) \ \text{billion cubic foot}\\\\$ now to convert this rate into per second we will convert it

$\to (\frac{8}{(7.5 \times 24123456 \times 60 \times 60)})$ billion cubic foot per second Now we know billion means $10^{9}$ so putting it above and simplifying we get

$\to rate = 12345.67\ CFS$

Now we how to find how much is this percentage of $30000\ \ CFS$

Calculating the percentage value:

$\to (\frac{12345.67}{30000}) \times 100 \\\\
\to (\frac{12345.67}{300})\\\\
\to (\frac{1234567}{30000})\\\\
\to (\frac{411522.333}{10000})\\\\
\to 41.1522333\\\\
\to 41.15\%\\
$

For point b:

$\to 1 \ mile = 5280\ ft\\\\
\to 1 \ \text{square mile} = 27878400\ ft^2\\\\
\to 8\ \text{square miles} = 8 \times 27878400 = 223027200\ ft^2\\\\


$

Calculating the height with the number of feet by which the water level rose in one day is:

$\to \frac{1333333333.3}{223027200} \\\\
\to 6 \ \frac{feet}{day}$

Learn more:

link

Answer from: augustmarie

Step-by-step explanation:

The question is incomplete. The complete question is:

Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 10 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 35,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)

Solution:

Water can flow into a city at a peak rate of 10 billion gallons per day. If there are 7.5 gallons in 1 cubic foot, then we would convert 10 billion gallons to cubic foot. It becomes

7.5 gallons = 1 cubic foot

10^9 gallons = x cubic foot

Cross multiplying, it becomes

7.5x = 10^9

x = 10^9/7.5

x = 1333333333.3 cubic feet per day

a) we would convert 1333333333.3 cubic feet per day to cubic feet per second. Since

24 hours = 1 day

60 minutes = 1 hour

60 seconds = 1 minute

Then, the number of seconds in a day is

24 × 60 × 60 = 86400 seconds

Converting 1333333333.3 cubic feet per day to cubic feet per second, it becomes

1333333333.3/86400 = 15432.1 cubic feet per second

comparing this flow rate to a river with an average flow rate of 35,000cfs, it is lower.

15432.1/35000 × 100 = 44.1%

b) 1 mile = 5280 feet

1 square mile = 27878400 square feet

8 square miles = 8 × 27878400 = 223027200 square feet

The height

The number of foot by which the water level rose in one day is

1333333333.3/223027200 = 6 feet per day

Answer from: Quest

687.09 dollars happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09

Answer from: Quest

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.

Another question on Mathematics

Mathematics, 21.06.2019 17:00

For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. for an 10 month period, the last term is and the series sum is . for a 15 month period, the last term is and the series sum is . for a 20 month period, the last term is and the series sum is

Answers: 2

Answer

Mathematics, 21.06.2019 20:00

The two cylinders are similar. if the ratio of their surface areas is 9/1.44 find the volume of each cylinder. round your answer to the nearest hundredth. a. small cylinder: 152.00 m3 large cylinder: 950.02 m3 b. small cylinder: 972.14 m3 large cylinder: 12,924.24 m3 c. small cylinder: 851.22 m3 large cylinder: 13,300.25 m3 d. small cylinder: 682.95 m3 large cylinder: 13,539.68 m3

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

Stacey filled her 1/2 cup of measuring cup seven times to have enough flour for a cake recipe how much flour does the cake recipe calls for

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

Answers: 1

Answer

You know the right answer?

Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city...

Questions

Mathematics, 21.07.2021 04:30

Shape C, Scale = 15 Tile job $6 ft...