A tank that is filled with water drains at a rate of d216+4d−100 d 2 16 + 4 d − 100 gallons per minute where d is the depth of the tank in feet. Pumping out a tank that is 120 feet deep with this same pump would empty the tank at what rate? 1380 gal/min 1380 gal/min 1280 gal/min 1280 gal/min 900 gal/min 900 gal/min 387.5 gal/min 387.5 gal/min 487.5 gal/min

Answers

Answer 1

Given:

Consider the tank that is filled with water drains at a rate of [tex]\dfrac{d^2}{16}+4d-100[/tex] gallons per minute where d is the depth of the tank in feet.

Depth of tank = 120 feet.

To find:

The rate of water drain for that tank.

Solution:

We have, rate of water drain in gallons per minute.

[tex]r=\dfrac{d^2}{16}+4d-100[/tex]

where, d is the depth of the tank in feet.

Put d=120, to get the rate of water drain for the tank.

[tex]r=\dfrac{120^2}{16}+4(120)-100[/tex]

[tex]r=\dfrac{14400}{16}+480-100[/tex]

[tex]r=900+380[/tex]

[tex]r=1280[/tex]

Therefore, the rate of water drain is 1280 gal/min. Hence, the correct option is B.


Related Questions

Enrique is going to a party this weekend. He is bringing 20 liters of soda to the party. A liter of soda costs $1.59.

How much will Enrique spend on soda?

A, 3.18
B. 27.40
C. 29.60
D. 31.80

Answers

Answer:

31.8

Step-by-step explanation:

Answer:

Enrique spent D. $31.80 on soda.

10 points ! I’m really trying to pass this but I just don’t get it. help pls! :((

Answers

Answer:

how about you stop being confused

Step-by-step explanation:

just read the question

help plzz Charli pays $18.00 for 5 t-shirts he needs your help to answer the following questions.​

Answers

Answer:

What do you but in the chart? Also, part 2 is 72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

If each t-shirt costs 3.6 dollars then you would have to multiply 3.6 by 20 shirts which will equal to 72. So Charlie has to pay 72 dollars for 20 shirts.

URGENT DUE TODAY I WILL GIVE BRAINLIEST I PROMISE
The medians of a right triangle that are drawn from the vertices of the acute angles have lengths of 2 √13 and √73. What is the length of the hypotenuse?

Answers

Answer:

  10 units

Explanation:

find the values of x and y?

Answers

Answer:x=20 y=70

Step-by-step explanation:

Answer:

x=20, y=70

Step-by-step explanation:

∠40°+∠adjacent to it =180°

∠adjacent= 180-40=140°

we see that 2 of the sides of one of the small triangles are congruent so that triangle is isoscel so the base angles are congruent as well

because sum of angles in a triangle has to be 180,

140 +x+x=180 so x=20°

from the right triange we see thhat y +90+20 =180 because sum of angle in a triangle has to be 180 so y=70

What is the answer?

Answers

Answer:

clockwise

Q= (5,-2)

R= (-1,-3)

S= (0,0)

T= (3,-2)

counterclockwise

Q= (-5,2)

R= (1,3)

S= (0,0)

T= (-3,-2)

Step-by-step explanation:

this might not be right im a little rusty on my transformations but here goes nothing.

i dont know if this is a clockwise or a counter clockwise rotation so ill do both options.

clockwise (x,y) - (y,-x)

q=(2,5) - (5,-2)

r=(3,-1) - (-1,-3)

s=(0,0) - (0,0)

t=(-2,3) - (3,2)

counterclockwise (x,y) - (-y,x)

q=(2,5) - (-5,2)

r=(3,-1) - (1,3)

s=(0,0) - (0,0)

t=(-2,3) - (-3,-2)

PLS HELP I WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

Number 3 . 5x-8y=-4

Step-by-step explanation:

which list shows the area ordered from greatest to least​

Answers

Answer:

C

Step-by-step explanation:

i think

The correct answer is C

Kylie lives 4/5 kilometer from her friend's house. She has walked
5/8
of the distance. How many kilometers has Kylie walked so far?

Answers

Answer:

she has walked half of the journey

can i have brainliest please

She has 7/40 kilometers left to walk
25/40 32/40

a student purchased 7 binders for a total of $8.61. Write an equation that can be used to find the cost of each binder,n, in dollars. What is the cost ,in dollars, of each binder?

Answers

Answer:

$1.23

Step-by-step explanation:

divide 8.61 by 7 binders to get the final answer of $1.23

PLZ help me with this :(


Part 1: Simplify √250


Part 2: Classify the number above as rational or irrational


Level 3 (Proficient: 85%)


Part 1: Simplify √150x*5


Part 2: Is the follow expression rational or irrational and why? 2√4+7


Level 4 (Distinguished: 100%)


Part 1: Simplify 13√750x*5 y*8


Part 2: Create two unique expressions each involving 1 square root and at least 1 operation (adding, subtracting, multiplying, dividing). Make 1 results in a rational number and the other result in an irrational number. Explain your reasoning for both.

Answers

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

Lashonda has bought 18 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.

Answers

Answer:

she have feed 26 or 27

Step-by-step explanation:

I am confused it's 26 or27

what are some ways you can make a rectangle 10,000 cm squared (I NEED A AWNSER QUICK)​

Answers

Answer:

2 longer sides would be 4000 each, so that's 8000 total

and the 2 shorter sides could be 1000 each, so that's 2000 total

8000+2000=10,000

Step-by-step explanation:

For a given input value q, the function f outputs a value r to satisfy the following equation.
11q – 4= 3r - 6
Write a formula for f(q) in terms of q.
f(q) =

Answers

Answer:

22

Step-by-step explanation:

Answer:

{11q+2/3}

Step-by-step explanation:

Take out r

why isn't it let me skip to see the answers on my post​

Answers

Answer:

That happens to me to !

Step-by-step explanation:

Answer:

Download an adblocker

Step-by-step explanation:

I recommend uBlock Origin.

I need the answers please

Answers

Answer:

-3,4,-4

Step-by-step explanation:

Answer:

(-3,7)

Step-by-step explanation:

How do I solve 8k-9(4K+4)

Answers

Answer:

-28k - 36

Step-by-step explanation:

8k - 9(4k+4)

distribute -9 into the ( )

8k - 36k -36

combine 8k and - 36k to get - 28k

-28k-36

hope this helps!!!

17 times 0.0167. Can someone solve this step by step

Answers

Answer:

0.2839

Step-by-step explanation:

Can you tell me what part you are stuck on?

Answer:

0.2839

Step-by-step explanation:

-First, move the decimal over 4 places to the right to make 0.0167 into a whole number, which will turn into 167.

-Now, multiply 17 times 167 to get 2839.

-Finally, since the decimal from 0.0167 was moved 4 places to the right, it needs to be moved back 4 places to the left. Once it was moved back 4 places to the left, the answer should now be 0.2839

Hope this helps! :)

6th grade math help me pleaseeee

Answers

Answer:

-27

Step-by-step explanation:

Which description of the vector shown is correct?
O The magnitude is 15, and the direction angle is
approximately 49º.
O The magnitude is 15, and the direction angle is
approximately 41°.
O The magnitude is 113, and the direction angle is
approximately 49°
O The magnitude is 113, and the direction angle is
approximately 41°

Answers

Answer:

D

Step-by-step explanation:

Edge 2020

Answer:

D

Step-by-step explanation:

A map key shows that a map distance of 1/3 inch represents an actual
distance of 4/7 mile. Find the actual distance represented by 1 inch on the
map."

Answers

Answer: 12/7 or 1 5/7 of a mile

Step-by-step explanation: To get to 1 mile, you multiply 1/3 by 3. Then multiply 4/7 by 3. That should give you your answer. Hope this helped!

2+8

PLSSS HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

10

Step-by-step explanation

2 + 8= 10

Answer:

10

Step-by-step explanation:

2 + 8 = 10

Number line:

5-6-7-8-9-10-11-12-13

Move to the right 2 spaces and you get 10.

What is the measure of

Answers

Answer:

The answer is 60.

HELP PLEASE!!!! I need someone to help me!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

It's C or the one u just clicked on

Step-by-step explanation:

write sin x° in terms of the cosine

Answers

Answer:

cos[tex](x-\frac{\pi}{2})[/tex]

Step-by-step explanation:

If you insists that sine and cosine should be of the same angle use Pythagorean identity. Otherwise you can use identity sin(x) = cos[tex](x-\frac{\pi}{2})[/tex]

Hope this helps! :)

I need help !! this is geometry hw

Answers

Answer:

angle a=64, longest side AV : shortest side: TV

angle c=55 longest side: BW shortest side: CB

angle z =24 longest side: XZ shortest side: XP

Step-by-step explanation:

Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:The ratio is 1:5

Step-by-step explanation:

Answer:

it is 1:5 because if you divide both sides by 4, you get 1:5

Step-by-step explanation:

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value

Answers

Answer:

133 windows

Step-by-step explanation:

It is given that,

A window washer cleaned 38 windows in 2 hours.

We need to find how many windows did he clean in 7 hours.

2 hours = 38 windows

1 hour = 19 windows

For 7 hours, multiply 19 and 7.

7 hours = 19 × 7 windows

= 133 windows

Hence, in 7 hours he can clean 133 window

please help fast will mark brainliest

Answers

Answer:

X=7

Step-by-step explanation:

Hope this helps, have a good day

what is the product of 9+10

Answers

Answer:

19

Step-by-step explanation:

Umm just add I guess

Answer:

19

Step-by-step explanation:

because if you draw nine sticks then add 10 sticks and count them all at the end you will have 19 sticks

Other Questions
Help please! This is timed! Ill give brainliest also! Which passage from Frankenstein bestillustrates the theme of "thedestructive power of revenge"?A. Frankenstein says, "In a fit of enthusiastic madness I created arational creature, and was bound towards him, to assure, as far aswas in my power, his happiness and well-being. This was my duty;but there was still another, paramount to that" (321).B. The monster says, "I recollected my threat (to Frankenstein), andresolved that it should be accomplished. I knew that I waspreparing for myself a deadly torture; but I was the slave, not themaster, of an impulse which I detested, yet could not disobey"(327).C. Walton says, "I have no friend, Margaret: when I am glowing withthe enthusiasm of success, there will be none to participate in myjoy, if I am assailed by disappointment, no one will endeavor tosustain me in dejection" (xi).D. The monster says, "I am alone, and miserable: man will notassociate with me; but one as deformed and horrible as myselfwould not deny herself to me. My companion must be of the samespecies, and have the same defects. This being you must create(194) HELP DUE TOMORROW ASAP BAINLYEST Evaluate the expression when x = 9.2 and y = 3.4.5xy Which situations are best suited for the passive voice? Select three options. What steps can you take in your everyday life to properly care for your skeletal system? (Site Each ___ in a cell has its own specific function. Solve the proportion The high school baseball team won 24 of its games, which was 60% of the total games played. How many games did the team play this season? Now it says this and the airplane mode option is dull give me some riddles plez What makes bureaucratic rule-making more democratic than congressional law-making?A) Bureaucrats must allow the public to comment on proposed rules and read those commentsB) Bureaucrats are elected by the people, not appointedC) Bureaucrats must allow the public to vote on any proposed rulesD) Bureaucratic rules are written mostly by experts who specialize in the policy area Need help please With this. Point P is the center of the circle in the figure above. What is the value of x? PLZ ANSWER WILL MARK BRAINLIEST why was the first amendment included in the bill of rights? a) it established the united states as a christian nation b) it revealed the way governments must act to protect natural, inalienable rights c) it declared that all people have natural rights, including women and slaves d) it enumerated rights that the people felt were taken from them under british rule The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many more boys than girls are there? PLEASEE NO ONE IS HELPING ME I NEED HELP I GIVE BIG POINTS QUICKLYY!!! HELP PLEASE I DONT UNDERSTAND HOW TO DO IT. WILL MARK BRAINLIST!! BIG POINTS!!Identify the agricultural commodities that you think have the best chance of going up in price. Think about what is going on with supply and demand. Decide how you will spend your money. You may purchase only agricultural commodities.Check the market every day for a week. Record the price of your commodity or commodities each day. You may buy or sell your commodities at any time during the week. You may sell your commodities and buy different ones. Feel free to experiment with the $10,000 by buying and selling commodities, but make sure to keep a careful record of your activities.At the end of the week, you will write a report on your investments. This report should be structured to include this information:Page 1: Explain how the stock market works.Page 2: List all commodities purchased. Describe each in detail. Discuss why you selected these commodities. Remember, they must be agricultural.Page 3: Create a chart or graph to illustrate the price of your commodity or commodities over the weeks time. List all of your activity buying and selling. Make sure you include prices and details.Page 4: Write a summary of your experience. Describe what you might do differently if you were using actual money. Propose potential reasons why the price of each commodity may go up or down.Question # 1File UploadSubmit your project investing $10,000 in agricultural commodities of your choice. Be sure to follow these guidelines:Page 1: Explain how the stock market works.Page 2: List all commodities purchased. Describe each in detail. Discuss why you selected these commodities. Remember, they must be agricultural.Page 3: Create a chart or graph to illustrate the price of your commodity or commodities over the weeks time. List all of your activity buying and selling. Make sure you include prices and details.Page 4: Write a summary of your experience. Describe what you might do differently if you were using actual money. Propose potential reasons why the price of each commodity may go up or down. Aerobic Fitness, Cardiovascular Fitness and Cardio-respiratory Fitness all refer to the same thing.Group of answer choices:* No answer text provided.* No answer text provided.* Ability to exert maximum force* Range of motion of your joints* Your bodys ability to take in and deliver oxygen.Pick an answer plss HELP PLEASE I NEED IT FAST!!!!!!!!!1. Use the clues to identify the location of the post office, hospital, mall, nail salon, park, pet store, library, and gas station. (7 points)- The hospital is at letter c and makes alternate interior angles with the mall.- The post office and hospital make same side interior angles.- The mall makes a corresponding angle with the nail salon.- The pet store and the gas station form alternate exterior angles.- The pet store forms a vertical angle with the park.Letter_____ Gas station__C__ Hospital _____ Library_____ Mall_____ Nail salon_____ Park_____ Pet store_____ Post Office