Se tienen tres tanques de la misma altura (5 metro) pero sus formas son diferentes. El primero es de base circular de 3 metros de radio, el segundo su base es elíptica y su eje mayor y menor mide 6 y 4 metros respectivamente. El último tanque es un cono invertido, con una base circular de 3 metros de radio. Si en todos se llena agua con un caudal de 1.5 litros por cada segundo, determine la razón de cambio de la altura respecto al tiempo.

Answers

Answer 1

Answer:

1.-dh/dt  =  5.31*10⁻⁵ m/seg

2.-dh/dt =   1.99*10⁻⁵  m/seg

3.-dh/dt  =  1.59*10⁻⁴  m/seg

Step-by-step explanation:PREGUNTA INCOMPLETA NO SE INDICAN LAS FORMAS DE LOS TANQUES.

Asumiremos que los tres tanques son:

el primero cilindro recto     de  Vc = π*r²*h      ( r es radio de la base y h la altura)

el segundo asumiremos que es eliptico recto de Ve = π*a*b*h aqui a y b son los ejes de la elipse y h la altura

El tercero es un cono invertido Vco  = 1/3 *π*r²*h  ( r es el radio de la base.

1.-Caso del cilindro

Vc = π*r²*h

Derivando en ambos miembros de la expresión tenemos:

dV(c) / dt  = π*r²*dh/dt

Sustituyendo

1.5 Lts/seg =  3.14 * (3)²*dh/dt  

1.5/1000 m³/seg  =  28.26 m² dh/dt

1.5/ 28260 m  =  dh/dt

Despejando dh/dt

dh/dt  =  1.5 / 28260    =  5.31*10⁻⁵ m/seg

dh/dt  =  5.31*10⁻⁵ m/seg

2.-La elipse

Ve  = π*a*b*h  

Aplicando el mismo procedimiento tenemos:

DVe/dt  =  1.5 Lts/seg  =  π* 6*4* dh/dt

1.5 /1000   =  75.36 *dh/dt

dh/dt =  1.5 / 75360  m/seg

dh/dt =   1.99*10⁻⁵  m/seg

3. El cono invertido

Vco = (1/3)*π*r²*h

DVco/dt =  (1/3)*π*r²*dh/dt

1.5/1000  =  9.42 *dh/dt

dh/dt  =  1.5/9420

dh/dt  =  1.59*10⁻⁴  m/seg


Related Questions

Stephon makes the following statements: statement 1 lim x -3 f(x) exists and is equal to 1 statement 2 lim x 1 f(x) exists and is equal to 1

Answers

Neither statement 1, nor statement 2 are correct

The given Stephon's statements are;

Statement 1; [tex]\mathbf{\lim \limits _{x \to -3} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to -3} f(x) = 1}[/tex]

Statement 2; [tex]\mathbf{\lim \limits _{x \to 1} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to 1} f(x) = 1}[/tex]

The analysis of the graph and reason for the answer

From the graphed line on the left of the y-axis, we have an open circle at x = -3, and an arrow at the other end pointing towards negative infinity, (-∞) which indicates that the domain is -∞ ≤ x < -3, therefore, at x = -3, f(x) does not exist, therefore, we can write the following statement

The limits of the domain and range of the graph includes;

[tex]\mathbf{\lim \limits _{x \to -3} f(x)} = \mathbf{Does \ not \ exist}[/tex]

f(x) = Defined for -∞ ≤ x < -3

Similarly, from the graphed line on the right of the y-axis, we have an open circle at x = 1 and an arrow at the other end of the line f(x) = 4 pointing towards positive (+∞) infinity, which indicates the domain and the graph of the function is 1 < x ≤ ∞ , therefore, f(x) does not exist at x = 1, and we can write

[tex]\mathbf{\lim \limits _{x \to 1} f(x)} = \mathbf{Does \ not \ exist}[/tex]

From we above, we have that neither statement 1, nor statement 2 are correct

Learn more about open and closed circles on graph lines

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Forest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table.

Answers

Answer: Answer is in the image below.

Step-by-step explanation:

Someone help me with this

Answers

Answer:

(6,-3) and 5

Step-by-step explanation:

Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5












.......plz answer it plz​

Answers

Answer:

a: x=90 b: x=45 y=45 c: y=68 x=68

Solve for x. Round your answer to the nearest tenth if necessary.

X=

Answers

Answer:

7.2

Step-by-step explanation:

Since the angle is equal, 24/(x+8.7)=13.1/8.7. x=7.2

Answer:

x ≈ 7.2

Step-by-step explanation:

Δ MNO and Δ MKL are similar, so the corresponding sides are in proportion, that is

[tex]\frac{MN}{MK}[/tex] = [tex]\frac{MO}{ML}[/tex] , substitute values

[tex]\frac{13.1}{13.1+10.9}[/tex] = [tex]\frac{8.7}{8.7 +x}[/tex]

[tex]\frac{13.1}{24}[/tex] = [tex]\frac{8.7}{8.7+x}[/tex] ( cross- multiply )

13.1(8.7 + x) = 208.8 ← distribute left side

113.97 + 13.1x = 208.8 ( subtract 113.97 from both sides )

13.1x = 94.83 ( divide both sides by 13.1 )

x = [tex]\frac{94.83}{13.1}[/tex] ≈ 7.2 ( to the nearest tenth )

You draw a red marble out of a bag and give it your friend. You draw another marble out of the bag. Are the events independent? Explain.

No; the red marble was not replaced, so it has an effect on drawing a second marble.

Yes; you may not get a red marble again.

No; you do not know which marble you will draw next.

Yes; the red marble was kept out, so you can not draw it again.

Answers

Answer:

the red marble was kept out so you can not draw it again

Answer:

Yes; you may not get a red marble again.

Step-by-step explanation:

there is a chance to get a red marble but it is not high

Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?

Select the correct prices in the table.

$12 $13 $14 $15

Answers

Answer:

The answer is actually 12 and 13.  

Step-by-step explanation:

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90. 

The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.

We have given that the table,  

What is the prices?

Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90.

To learn more about the price visit:

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Decide !!!!!!!!!!!!!!!!!

Answers

Observe that

7¹ ≡ 7 (mod 100)

7² ≡ 49 (mod 100)

7³ ≡ 343 ≡ 43 (mod 100)

and (using Euclid's algorithm)

7 ⁻¹ ≡ 43 (mod 100)

so that

7⁴ ≡ 7³ × 7¹ ≡ 43 × 7¹ ≡ 1 (mod 100)

This means

7⁷ ≡ 7⁴ × 7³ ≡ 1 × 43 ≡ 43 (mod 100)

Next,

(7⁷)⁷ ≡ 43⁷ ≡ (7 ⁻¹)⁷ ≡ (7⁷) ⁻¹ ≡ 43⁻¹ ≡ 7 (mod 100)

(3 7's)

Next,

((7⁷)⁷)⁷ ≡ 7⁷ ≡ 43 (mod 100)

(4 7's)

A pattern emerges: a power tower involving an even number of 7's will reduce to 43 (mod 100), so the last two digits of ((7⁷)⁷ ... )⁷ with 2020 7's will have 43 as its last two digits.


13) Stephanie is making lasagna for a party. The recipe uses 1 1/2 teaspoons of basil, teaspoons of salt, teaspoons of
pepper and 2/4 teaspoons of salt, 1/8 teaspoons of pepper and 4 teaspoons of parsley.If she needs to make 1.5 times the recipe, how many teaspoons will she use of each
ingredient? How many teaspoons will she use in total (when she combines all of the ingredients)? Show all of your
work.

Answers

Answer:

10.875 total, 1.5 times each are below.

Step-by-step explanation:

1.5 (1 1/2) x 1.5 = 2.25

0.5 (2/4) x 1.5 = 0.75

0.125 (1/8) x 1.5 = 1.875

4 x 1.5 = 6

2.25 + 0.75 + 1.875 + 6 = 10.875 total

Consider the following polynomial expression: 4x5 - 16x2 + 13x8.

Part D: what is the leading term ?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

[tex]13x^8[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x^5 - 16x^2 + 13x^8[/tex]

The leading term contains the highest power of 'x'.Since 8 is greater than 5 and 2, the leading term in the give in polynomial would be [tex]13x^8[/tex].

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term then it would be 9. find the three terms of the series​

Answers

Answer:

The terms are - 1, 7 and 15.

Step-by-step explanation:

Let the terms be a-d, a and a+d

ATQ, a-d+a+a+d=21, a=7. a+d-(a+(a-d))=9. d=8. The terms are - 1, 7 and 15.

Use the diagram to the right to name the following.

a) A line containing point F.

b) Another name for line k.

c) A plane containing point A.

d) An example of three non- collinear points.

e) The intersection of plane M and line k.

Answers

a) A line containing point F-DF

b) Another name for line k-BC

c) A plane containing point A-M

d) An example of three non- collinear points.-(B,A)

e) The intersection of plane M and line k-C

A trapezoid is a polygon that has exactly one pair of parallel sides.
Select one:
True
False

Answers

false                                               dsddsfsdfsfdfdsfdsdfsdfsdsfdfsfdsdfsdfsdfsfdsfd

true
jdksiifkekfkrjfi

Last one, So so sorry!
Which net diagram cannot be folded into a triangular pyramid?
A.
B
C
D

Answers

C and D are the same, so its between A and B, which concludes your answer should be B

Answer:

all diagram can be folded into triangular pyramid.

Is -√15 an imaginary or irrational number?

Answers

Answer:

irrational

[tex]\sqrt{-15}[/tex] would be imaginary

Step-by-step explanation:

Hey there! I'm happy to help!

An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.

An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is i, and here is the thing it does that breaks the rules and makes it imaginary:

i²=-1

so

√-1=i

We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.

We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....

Have a wonderful day and keep on learning :)

To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample

Answers

Answer:

The answer is "Option b".

Step-by-step explanation:

The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.

round to the nearest place value shown​

Answers

87.3, 213.43, 672, 5980, 12800

For his science project, Chip decided to test how well plants grew with fertilizer. He started off by planting seeds in three different pots and labeling each of the plants. Plant A had no fertilizer. Plant B had the recommended amount of fertilizer. Plant C had four times the recommended amount of fertilizer. For ten consecutive days he measured the height of each plant in centimeters. The follow ing table shows his results. Which plant grew the most from Day 7 to Day 9?

Answers

Now in pot experiments the most important point is to have the same number of plants per pot. To achieve this you plant more seeds and then you thin them after emergence to keep the same number of uniform plant per pot.

Now for calculating fertilizer rate of application in pots, you calculate according to soil weigh as you correctly indicated 2.2 M Kg/ha. You don't have to weigh the soil, just use the bulk density to calculate weigh from volume. Forget about space in pot experiment. you will have a lot of problems since pots have different shapes and forms!

Another recommandation mix soil and fertilizers for each treatment for the number of replicate pots. If you are using 5 replicates pot of 2 Kg soil/ pot, mix the fertilizers you want to apply to the 5 pots with 10 Kg of soil and after mixing well (preferably mechanically) distribute the same volume of soil in each one of the 5 pots.

If the amount of fertilizer to apply is small mix with some soil first and mix well before mixing to the whole soil. The idea is to have as much as possible, a uniform distribution.

You might also consider fractionating you nitrogen source if it will be leached.

Now according to the exact aim of your work other method sof fertilizationare possible.

Finally remember that maize is a mycorrhizal plant and this beneficial symbiosis can be influenced by the amount of soluble P you are adding.

Wishing you a lot of success in your work

hope it's help you plz mark as brain list.......!!!!!!!!!!!!!!!!

hope it will helps you

ashley here

-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11

Answers

Answer:

0.5013415404

Step-by-step explanation:

this geometric sequence?
What is the explicit formula for
8, 4, 2, 1, ...

Answers

Answer:

D

Step-by-step explanation:

the first term is 8, the ratio is 1/2 ( 8*1/2 = 4, 4*1/2 = 2, 2*1/2 = 1)

the formula for an explicit geometric formula is :

[tex]a_{n} = a_{1} * r^{(n-1)}[/tex]

plug in your numbers :

[tex]a_{n} = 8 * (\frac{1}{2}) ^{(n-1)}[/tex]

Find the ratio of 5 degree and (pi/6)^c​

Answers

Lemme just say this real quick, Ratio

Enter the repeating digit.

Answers

Answer:

Does the answer help you?

Answer:

6

Step-by-step explanation:

Dividing 2 by 3 gives you a repeating decimal of 0.6666...

1) 4+8r-6r=6+2r
2) 1-3x=-6+7-2x-x

Answers

1:-

[tex]\\ \sf \longmapsto 4+8r-6r=6+2r[/tex]

[tex]\\ \sf \longmapsto 4+2r=6+2r[/tex]

[tex]\\ \sf \longmapsto 2r-2r=6-4[/tex]

[tex]\\ \sf \longmapsto 0=2[/tex]

[tex]\\ \sf \longmapsto r=\infty[/tex]

2:-

[tex]\\ \sf \longmapsto 1-3x=-6+7-2x-x[/tex]

[tex]\\ \sf \longmapsto 1-3x=1-3x[/tex]

[tex]\\ \sf \longmapsto 0=0[/tex]

[tex]\\ \sf \longmapsto x=\infty[/tex]

[tex]\sqrt{x - 5} - \sqrt{3 - 2.x} = 0[/tex]

Answers

x-5 = 3-2x, 3x = 8, x = 8/3

Answer:

x = 8/3

Step-by-step explanation:

Copy the right side of the given to the right side of the equation.

sqrt(x - 5) = sqrt(3 - 2x)            Square both sides.

x - 5 = 3 - 2x                             Add 2x to both sides

2x + x - 5 = 3                            Combine

3x - 5 = 3                                  Add 5 to both sides.

3x = 3 + 5                                 Combine

3x = 8                                       Divide by 3

x = 8/3

When the movies is half over , popcorn sells for half price. Full price popcorn is $3.50 and drinks are $1.35 . Determine the cost for purchasing 3 orders of popcorn and 3 drinks when the movie is half over

Answers

Answer:

The total price is $9.30

Step-by-step explanation:

Price of the orders of popcorn= $5.25

Price of the drinks= $4.05

pls help. And can someone tell me how give brainliest so i can give it?

Answers

Answer:

n - 324 = 394

STEP BY STEP EXPLANATION

Is this correct??? Will give Brainlyist

Answers

It.s not correct, but it’s not hard to learn. All you really have to do is multiply both the numerator and the denominator by each of the numerators that are listed in the problem. If you need help just ask, but I’m not going to give you the problem because you can do it! Just ask if you don’t understand.

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

Step-by-step explanation:

It's a ray. A ray has 1 fixed point. The other end of the ray goes on forever, just as this diagram shows.

Find the missing side of triangle

Answers

Answer:

x = 50

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other two sides , then

x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )

x = [tex]\sqrt{2500}[/tex] = 50

48^2 + 14^2 = x^2
X= 50

Cylinder A has a radius x and height y. Cylinder B has radius y and height x. What is the ratio of the volume of Cylinder A to the volume of cylinder B

Answers

Answer:

Step-by-step explanation:

Draco is a daddy’s boy

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