Percy is filling a cylindrical tank with water. The tank is
9 meters high and has a base area of 78 square meters.
The hose he is using fills the tank at a rate of 6 cubic
meters in one minute. How long will it take Percy to fill
the tank?
A. 13 min
B. 117 min
C. 52 min
D. 468 min

Answers

Answer 1

Answer:

B

Step-by-step explanation:

78x9=702

702/6=117 minutes.

Answer 2

Volume of water in the tank:

Differentiate both sides with respect to time t :

V changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for dh/dt :

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)


Related Questions

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

21 square feet

Step-by-step explanation:

To find out the area of this irregular figure, divide it into two rectangles and add their areas.. This can be done in two ways.

Version 1: 6 * 2 rectangle and 3 * 3 square

(6 * 2) + (3 * 3)

12 + 9

21 sq. ft.

Version 2: 5 * 3 rectangle + 2 * 3 rectangle

(5 * 3) + (2 * 3)

You could really just do 7 * 3 here.

7 * 3

21 sq. ft.

Either way, you still get 21 square feet as your answer.

help! I'll give brainliest!!!

Answers

Answer: V = 378 i think

Step-by-step explanation:

What is the volume of the following triangular prism?
4.5 cm
12 mm
7 cm
3.5 cm 3
18.9 cm 3
12 cm
13
37.8 cm 3

Answers

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]

When you have the prism's base area ([tex]b_{a}[/tex]) you just have to multiply:

[tex]b_{a}*h=V[/tex]

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)

2) g(x) = 4x + 1 Find (gºg)(x)​

Answers

Answer:

Step-by-step explanation:

g circle g (x) has the meaning of putting g(x) on the right wherever you see an x in the original question

gcircle g (x) = 4(g(x)) + 1

g circle g(x) = 4(4x + 1) + 1

g circle g(x) = 16x + 4 + 1

g circle g(x) = 16x+5

PLEASE HELP!!!!!!

which is True?

Answers

Answer:

c

Step-by-step explanation:

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find
the number of cats at the shelter.

Answers

Answer:

15 cats

Step-by-step explanation:

x + 2y = 16
Help ASAP Thanks

Answers

y = 8 - x/2

Hopefully this helps if it did mark me brainliest pls!!

HELP PLEASE ITS URGENT

Answers

Answer:

21

Step-by-step explanation:

7x3=21

21/3=7

you just have to use inverse operations

(: hope this helps

Answer:

21

Step-by-step explanation:

because I have a playstation

Select the table that represents a proportional relationship between x and y.​

Answers

Answer:

The answer would be B I think

Step-by-step explanation:

PLs mark me as brainllest

The graph of y=x^2 is the solid black graph below. Which function represents the dotted graph?

Answers

Answer:

y=(x-5)^2-4

Step-by-step explanation:

this is because the -4 drops it below the line and then x-5^2 stays where it is so mainly the minus in the domian and range and the -4 moves it over      

Please last question need help! Will give Brain

Answers

I got 15 but that isn’t an option. When the triangle is scaled down the angles should stay the same. 180-(50+115)=15

two times what equals four teen

Answers

Answer:

7

Step-by-step explanation:

Set up an equation where x is the number

2x = 14

Divide by 2 on each side

x = 7

So, the number is 7.

Step-by-step explanation

two times what equals four teen

Answer:

14 divide 2 = the answer is 7

Hope is work fix me if im worng ]

Which linear function represents the table

Answers

Answer:

C) 6x+2

Step-by-step explanation:

if you multiply 6 by all the x factors and add 2 you get the y factors

HELP! What is 245,000 in standard form

Answers

Answer:

i dont know mam

Step-by-step explanation:

please mark me as a brainliest

2.45*10^5 hope this helps!

8/t; t = 4 Please someone. 30 points!

Answers

Answer:

8(t+2)−3(t−4) 8 ( t + 2 ) - 3 ( t - 4 )

Step-by-step explanation:

Roman paid $150 to join a handball club. He pays an additional $15 every time he uses one of the club's handball courts. Write an equation that describes Roman's total cost for playing handball as a function of the number of times he plays. Let C = the total cost and n = the number of times he plays

Answers

C = 15n + 150 I think

Which side lengths form a right triangle?

Answers

Answer:

C. HOPE THIS HELPED

Step-by-step explanation:

Answer:

All of them form a right triangle.

Step-by-step explanation:

Khan

what is the value of x?

enter your answer in the box

Answers

Answer:

39

Step-by-step explanation:

If i'm right, a triangle should add up to 180, so you add 39 and 102 to get 141. Then you subtract 141 from 180 and get 39

Answer:

39

Step-by-step explanation:

Remark

Every triangle has 180 degrees. The three angles must add to 180

Solution

x + 102 + 39 = 180

x + 141 = 180                     Subtract 141 from both sides.

x + 141-141 = 180-141

x = 39

Area of a 90in 3yd rectangle

Answers

Hello,

Converting 90 in to yd, we have:
90in * 1ft/12in * 1yd/3ft = 2.5 yd

Next,
Since A of a rectangle is b*h,
A = 2.5yd * 3yd = 7.5 yd ^2.

Good luck to you!

If John have 78 apples and John fat self ate 53 how many apples will John have

Answers

John will have 25 apples

Use the Distributive Property to rewrite this algebraic expression.
8(x + 7)

a. 8x + 7
b. 8x + 56
c. x + 56
d. x + 15

Answers

Answer:

B. 8x + 56

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The current temperature is 48 degrees Fahrenheit it is expected to drop 1.5 degrees each hour. Determine in how many hours the temperature will be 36 degrees Fahrenheit.

Answers

The answer is that it would take 8 hours for the temperature to drop down to 36 degrees.

1.5x8=12

1x8=8 and 0.5x8=4

In 8 hours the temperature will be 36°F from 48°F.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, The current temperature is 48 degrees Fahrenheit it is expected to drop 1.5 degrees each hour.

Assuming the no. of hours to be x.

∴ 36 = 48 - 1.5x.

- 1.5x = - 12.

x = 8.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ2

please please please help-
A water pitcher is 10 inches in height and 6 inches in diameter. Glasses used at a restaurant are 6 inches in height and 2.5 inches in diameter. If a server at the restaurant completely fills the pitcher with water, how many full glasses of water can he fill without any ice?

Answers

Answer: 2

Step-by-step explanation:

take the radius. it is a cylinder so u find the volume of each.

Petra jogs 6 miles in 54 min. Fine the unit rate in minutes per mile

Answers

Answer:

the answer is 9

Step-by-step explanation:

because when you divide 54 by 6 you get 9

David's family drove 330 miles in 6 hours to reach the Grand Canyon before nightfall. If they drove at a constant rate, how many miles per hour was David's family driving?

Answers

answer:

they would have to be driving at a steady 55 miles per hour to make it there in 6 hours

explanation:

you would divide 330 by 6 to get how many hours per hour

330 / 6 = 55

hope this helps :)

a man pays $225 each month into an account to pay his bill .how much does he pay into the account in three years?​

Answers

Answer:

$8,100

Step-by-step explanation:

He pays $225 for three years. There are 12 months in a year, so they are 36 months in 3 years. $225 a month times 36 months will get you $8,100.

Find the percent of change from the first value to the second. 72: 81 -
is means "From 72 to 81"*

Answers

Answer:

+12.5%

Step-by-step explanation:

This is rather simple. Subtract 72 from 81, then put the difference over 72. Then, multiply that by 100.

(81 - 72)/72 * 100

Subtract 72 from 81 to get 9

9/72 * 100

Multiply 9 by 100 to get 900

900/72

Simplify the above fraction by cancelling out 9.

100/8

Divide 100 by 8 to get 12.5%

The percent of change is +12.5%

Help please!!! F(x)=-3x+1

Answers

Answer:

1) 7

2) 4

3) 1

4) -2

5) -5

How is Mercury different than Jupiter?

Answers

Answer:

Hey!

Step-by-step explanation:

The diameter of Mercury is 4,879.4 km, while the diameter of Jupiter is 142,984 km. In other words, Jupiter is 29.3 times bigger across than Mercury. In terms of volume, you could fit 24,462 Mercurys inside Jupiter. Jupiter even has 5,750 times more mass than Mercury.

Hope this helps!

Have a nice day!♥

The endpoints of a line segment AR are A(8,-2) and R(-4,1). What is the length of the AR?

Answers

Answer:

The length of the AR is  [tex]3\sqrt{17}[/tex]  or [tex]12.4[/tex] units.

Step-by-step explanation:

Given the endpoints of a line segment AR

A(8, -2)R(-4, 1)

We can calculate the length of AR using the formula

[tex]L_{AB}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

In our case,

(x₁, y₁) = (8, -2)  (x₂, y₂) = (-4, 1)

Substituting (x₁, y₁) = (8, -2) and (x₂, y₂) = (-4, 1) in the formula

[tex]L_{AB}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

        [tex]=\sqrt{\left(-4-8\right)^2+\left(1-\left(-2\right)\right)^2}[/tex]

        [tex]=\sqrt{\left(-4-8\right)^2+\left(1+2\right)^2}[/tex]            ∵ Apply rule:  [tex]-\left(-a\right)=a[/tex]

        [tex]=\sqrt{12^2+3^2}[/tex]

        [tex]=\sqrt{144+9}[/tex]

        [tex]=\sqrt{153}[/tex]

        [tex]=\sqrt{9\times 17}[/tex]

         [tex]=\sqrt{17}\sqrt{3^2}[/tex]          Apply radical rule:   [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]

         [tex]=3\sqrt{17}[/tex]              Apply radical rule:   [tex]\sqrt[n]{a^n}=a[/tex]

         [tex]=12.4[/tex]

Therefore, the length of the AR is  [tex]3\sqrt{17}[/tex]  or [tex]12.4[/tex] units.

Other Questions
Please please help me please whats the area? i never understood how to do these I need help on this plz 4x + 5 = 17 what is the value of the x FIRST - Watch the two instructional videos on CER paragraphs. CLICK HERE for the instructional video on CER paragraphs CLICK HERE for examples on how to use CER and see how your paragraphs will be graded. SECOND - Pick ONE of the prompts to respond to. OPTION 1: What do you think was the most important development or invention that came out of the United States period of Industrialization? Be sure to use a Claim, Evidence Reasoning paragraph format. OPTION 2: How were industrial developments connected to one another? In other words, how did one industrial development or invention support the growth of another development or invention? 1/4 of a number decreased by three is at least two If 1+ 6/x = -5, then x = yo vamos a tener una conversacin jaja pero mantenla en espaol o spanglish jaja**oh, y si alguien informa esto, hermano, te golpear en la cara :)** gracias!!! The conceited actress wanted to talk only about herself. She knew she was more interesting thaneveryone else. She didnt want to waste time hearing other people talk about their boring lives. What does conceited mean in the passage above?A. talentedB. friendlyC. vainD. shy Question 1 (6 points) Select the answer that best completes each statement.Lucille Ball y Little Orphan Annie no son rubias. Son ___________.Question 1 options:pelirrojas.camareras.Question 2 (6 points) Select the answer that best completes each statement.Las personas con el pelo canoso generalmente no son _________.Question 2 options:jvenes.viejas.Question 3 (6 points) Select the answer that best completes each statement.En general, los hombres tienen _____________.Question 3 options:el pelo largo.el pelo corto.Question 4 (6 points) Select the answer that best completes each statement.Mi abuelo tiene 85 aos. Es _____________.Question 4 options:rubio.viejo.Question 5 (6 points) Select the answer that best completes each statement.Muchas mujeres prefieren tener __________.Question 5 options:el pelo largo.el pelo canoso.Question 6 (6 points) Select the answer that best completes each statement.Mis tas Elisa y Margarita son __________.Question 6 options:hombres.mujeres.Question 7 (6 points) Select the answer that best completes each statement.Mi pelo es rubio pero yo quiero un color diferente, como ____________.Question 7 options:negro.corto.Question 8 (6 points) Select the answer that best completes each statement.Tu primo es modelo? Es muy ________.Question 8 options:castao.guapo.Question 9 (6 points) Select the answer that best completes each statement.El postre es delicioso.Question 9 options:S Qu rico!S Qu horrible!Question 10 (6 points) Select the answer that best completes each statement.Camarero, no quiero nada ms, la ___________, por favor.Question 10 options:cuentaazcarVocabulary in UseQuestion 11 (8 points) At a birthday party, the guests are having a scavenger hunt. Based on the pictures, complete the sentences telling what items each guest has.Two men holding platesQuestion 11 options:Paco y Sal tienen los tenedores.Paco y Sal tienen los platos.Paco y Sal tienen las servilletas.Paco y Sal tienen los cuchillos.Question 12 (8 points) At a birthday party, the guests are having a scavenger hunt. Based on the pictures, complete the sentences telling what items each guest has.A woman holding a spoonQuestion 12 options:Yo tengo la cuchara.Yo tengo el cuchillo.Yo tienes la cuchara.Yo tengo el vaso.Question 13 (8 points) At a birthday party, the guests are having a scavenger hunt. Based on the pictures, complete the sentences telling what items each guest has.A man holding a bowl of sugarQuestion 13 options:Mauricio tengo el azcar.Mauricio tiene la pimienta.Mauricio tiene el azcar.Mauricio tiene el tenedor.Question 14 (8 points) At a birthday party, the guests are having a scavenger hunt. Based on the pictures, complete the sentences telling what items each guest has.A man holding a cupQuestion 14 options:T tienes la cuchara.T tienes la cuenta.T tengo la taza.T tienes la taza.Question 15 (8 points) At a birthday party, the guests are having a scavenger hunt. Based on the pictures, complete the sentences telling what items each guest has.A woman holding a knifeQuestion 15 options:Isabel tiene el cuchillo.Isabel tiene el tenedor.Isabel tiene la cuchara.Isabel tiene la taza. Which of the following is not an environmental consequence of using fossilfuels?A. Wildlife habits can be disturbed when fossil fuels are extracted.B. A worldwide infrastructure extracts, processes, and transportsfossil fuels.C. Burning fossil fuels can release greenhouse gases into theatmosphere, which contribute to global warming.D. Chemical byproducts from burning fossil fuels can cause airpollution image is down below :) G Please select the word from the list that best fits the definition families made up of several generations Dahia al-Kahina oral history matrilineal Nzinga extended families I need help with this :D i don't understand plz help Help me please I will give you a brainlest answer please respect don't answer this question if you don't now the answer I need now Question number :1. Write the mathematical phrase that represents the length of south side of the field !! ____________________________2. write the english phrase translation of the sides of the banana field !!____________________________3. write a mathematical sentence that represents the perimeter (P) of the squash field . state one reason why calculating perimeter would be useful to Mr. Guzman !!____________________________4.translate the mathematical sentence showing the perimeter of the squash field into English sentence !!____________________________5. write a mathematical sentence that shows the area (A) of beans field !!_________________________ please help If the word with an apostrophe is used to show possession write a P . If the word with an apostrophe is used as of a contraction use C 1. My brothers' favorite activity is wrestling each other on the ground 2.Where'd you put the salt an pepper shakers 3.Wouldn"t you like to know what you're getting for your birthday 4.The bus's passengers were getting tired of sitting in traffic 5.Why'd you purposely forget to give your brother his birthday present What is the answer for this equation 600 is 4/9 of what number Suppose we want to prove the statement S(n): "If n 2, the sum of the integers 2 through n is (n+2)(n-1)/2" by induction on n. To prove the inductive step, we can make use of the fact that 2+3+4+...+(n+1) = (2+3+4+...+n) + (n+1) Find, in the list below an equality that we may prove to conclude the inductive part.a. If n 3 then (n+2)(n-1)/2 + n + 1 = (n+3)(n)/2 b. If n 1 then (n+2)(n-1)/2 + n + 1 = (n+3)(n)/2 c. If n 2 then (n+2)(n-1)/2 + n + 1 = (n+3)(n)/2 d. If n 1 then (n+2)(n-1)/2 + n + 1 = n(n+3)/2 plz help(30 points)The densely packed cells of the ____________ not only cover the surface of the body, but also line internal organs and cavities.epithelial tissuesepithelial tissuessebaceous glandssebaceous glandsarrector piliarrector pilicollagen