a cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. how fast is the height of the water increasing?

Answers

Answer 1

Answer:

0.026 m / min.

Step-by-step explanation:

Volume V = π7^2h

V = 49πh

dV/dh = 49π

Rate that the volume is increasing is 4 m3/min.

So dV/dt = 4

dV/dt = dh/dt * dV/dh

4 = dh/dt * 49π

dh/dt = 4/49π

= 0.026 m / min.

Answer 2

The required height of the water increase is given as 0.026 m/min.

Given that,
A cylindrical tank with a radius of 7 m is being filled with water at a rate of 4 m3/min, how fast is the height of the water increasing is to be determined

What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder =πr²h
Substitute the value in the above formula
Volume V = π7²h
V = 49πh
V/h = 49π  - - - - - - - (1)

Rate of the filling the tank is given,

V/t = 4
V = 4t
Substitute this in equation 1

4t / h = 49π
h / t = 0.026 m/s.

Thus, the required height of the water increase is given as 0.026 m/min.

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Related Questions

If mZx = 126° Calculate mZy

Answers

< x has the same measure as the supplement of < y because they are Alternate interior angles.

Since m < x = 126°, then the supplement of < y must also be m < 126°.

To solve for y:
m < y = 180° - 126°
m < y = 54°

Therefore, the < y has a measurement of 54°

Please mark my answers as the Brainliest if you find this explanation helpful :)

Need help asap due tmr !!!

Answers

here! not sure if it's right but i'm pretty confident. boom

Answer:

Inequality: 6 ≤ n+15

Solution: -9≤n

how to write a fraction percent as a decimal such as ⅜%:

write each percent as a decimal.

[tex] \frac{3}{8} \% \: as \: a \: decimal[/tex]


Answers

Answer:

as a decimal,, you just devide 3/8 then multiply by 100 it results to

37.5

7 / 9 ​ ×(− 8 / 9 ​ ) fraction form pls help fast like i really need this pls

Answers

Answer:

-7/8

= (7/9) × (-9/8)

=-7/8


I need some help with 12 please

Answers

Answer:

its C

Step-by-step explanation:

thank me later

The answer is actually D because the original shape has been flipped on the opposite side of the y axis and it hasn’t been translated up, down, or sideways so it’s just a reflection

Which of the expressions bests fits this situation?

Answers

Answer:The answer is option B

Step-by-step explanation:

To get the balance, the amount given to each employee should be multiplied by the total employees then the total surplus should be subtracted from the suplus distributed among the employees to get the remaining surplus

Is the relation a function?why or why not?

(0,1),(5,6),(7,9)

Answers

Answer:

yes

Step-by-step explanation:

For every input (x) there is exactly one output (y).

Yes, the given relation is a function. Because, every single input is matching exactly one output.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given ordered pairs are (0,1), (5,6), (7,9).

Here, for every input (x) there is exactly one output (y).

Therefore, the given relation is a function.

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Will mark brainliest - In how many ways can you place 50 identical balls in six distinct urns such that each urn contains an odd number of balls?

Answers

Answer:

The answer is 80,730

Step-by-step explanation:

Hope this helps <33

have a good afternoon :)

Please help!!
Victor's solution to an equation is shown below. Which property of real numbers did Victor use for Step 3? A. Associative Property of Multiplication B. Addition Property of Equality C. Subtraction Property of Equality D. Commutative Property of Multiplication

Answers

Answer:

can't see the equation sorry

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Victor solved this inequality as shown:

Given: 6+3(x+5) = 36

Step 1: 6+3x+15 = 36

Step 2: 3x+21= 36

Step 3: 3x = 15

Step 4: 3x=15

What property justifies the work between step 3, I'm guessing its this question if not message me.

from step 2 to 3 we must use Subtraction Property of Equality since

3x+21 = 36 must subtract 21 both sides

then u get 3x=15

Can someone help me with this math question the right answers

Answers

Answer:

d is the right answer hope you get it right

PLEASE ANSWER SO I DON’T FAIL THIS


Copy Z DEF to the line so that S is the

vertex.

This task will be complete when you have

constructed an angle with vertex S that is

congruent to ZDEF..

Answers

So the 6 plus the other active numbers are going to be multiplied by the nearest ten to get the answer which is 17

please help me anyone !!!!

Answers

Answer:

If you rotate the triangles so that they look the same, one side of both of them are labeled. This gives you the fraction 9/12, or 3/4. The smaller triangle is 3/4th of the larger one. If the larger triangle has 4 on one side, then let's make the equation 3/4 = y/4. The length of y is 3. :)

O is the centre of the circle.
Determine the value of a°.

Answers

Answer:

m<a=41º

Step-by-step explanation:

a triangle has 180º total

180-98=82

since O is the center that makes OQ and OP radii and as such they are equally distanced

this means that the m<a and the measure opposite it are equal

so ÷82 by 2

a=41

Imagine you write the letters of the word GREAT on individual cards. You shuffle them, turn them facedown on a table, and turn over the top card. What is the probability of turning over an E?​

Answers

Answer:

that's hard

Step-by-step explanation:

Answer:

The probability of turning over E would be 1/5

Step-by-step explanation:

since there are 5 cards and there is an equal chance you could get any one of them, the probability is one (the amount of cards drawn) over five (the amount of cards total.)

Hope this helps :)

Does the table below represent a linear or nonlinear function?

Answers

Answer:

linear

Step-by-step explanation:

the ys go up constantly(brainliest please)

Answer:

your answer would be non linear

PLZZZZ HELP ME OUT GIVING OUT 100 POINTS PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
The diagram shows two parallel lines cut by a transversal. One angle measure is shown.

Two lines that do not intersect. A third line intersects with both lines.

Find the values of a, b, c, d, e, f, and g. Do not include any labels or degree symbols.

a=
b=
c=
d=
e=
f=
g=

Answers

Answer:

See below

Step-by-step explanation:

a + 54° = 180° [Angles on a straight line]

a = 180 - 54

a = 126°

a + b = 180 [Angles on a straight line add up to 180 degrees]

126 + b = 180

b = 180 - 126

b = 54°

c° = a° [Vertically opposite angles are equal]

c° = 126°

d = 54° [Corresponding angles are equal]

e = a [Corresponding angles are equal]

e = 126°

f = b [Corresponding angles are equal]

f = 54°

g = c [Corresponding angles]

g = 126°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Solving Two Step Equations

3(x + 4) - 5 = 2x + 4

Answers

Answer:

-3=x

Step-by-step explanation:

3(x+4)-5=2x+4

use distributive property to get:

3x+12-5=2x+4

simplify to get:

3x+7=2x+4

subtract 4 from both sides to get:

3x+3=2x

subtract 3x from both sides to  get:

3=-x

multiply both sides by -1 to get your answer:

-3=x

The answer to 3(x+4)-5=2x+4 is X=-7

If Ø lies in the quadrant IV what can be the value of cos Ø

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The values of Cos Ø is always positive in the Quadrant IV.

Marisol bought a soda for $1.99 and 6 bags of chips, which cost "m" dollars each. Which equation represents
the total amont, T, that Marisol spent?

Answers

The equation which represents  the total amount, T, that Marisol spent is [tex]T = 1.99 + 6m[/tex]

Let the total amount spent be T.Let the cost of bags of chips be m.

Given the following data:

Cost of soda = $1.99

To find the equation which represents  the total amount, T, that Marisol spent:

Translating the word sentence into an algebraic expression, we have;

6 bags of chips = [tex]6m[/tex]

The total amount is equal to:

[tex]T = 1.99 + 6m[/tex]

Therefore, the equation which represents  the total amount, T, that Marisol spent is [tex]T = 1.99 + 6m[/tex]

Read more: https://brainly.com/question/13282374

what is 35-14+27 i really need help pls anser fast

Answers

Answer:

B is the correct answer, The first choice (which you chose) is the incorrect answer.

Step-by-step explanation:

452 x 58 = 3616 + 3400 =
362 x 92 = 544 + 280 =

Answers

1) 452 x 58 =26216

2) 3616 + 3400 = 7016

3) 362 x 92 = 33304

4) 544 + 280 = 824

Hope this helped you- have a good day bro cya)

452 x 56 = 17176
3616 + 3400 = 7016
17176 = 7016
362 x 92 = 33304
544 + 280 = 824
33304 = 824

8.
Look at the triangle below. Which of the following statement is true?
Q
7
6
R
5
A
B.
ZPis the smallest angle.
ZQis the largest angle.
ZR is the largest angle.
ZR is the smallest angle.
C.
D.

Answers

Answer:

b

Step-by-step explanation:

4g+4=2g+12 I need to find what g would equal to

Answers

Answer:

2

Step-by-step explanation:

4g+4=2g+12

or , 4g-2g=12-4

or , 2g = 8

or, g=8/2

g= 2

10 POINTS!!: ANSWER THIS QUESTION
(please no bad answers)

Answers

Answer:

Write in standard form.

3x+2y=8

Step-by-step explanation:

Answer:

ver easy dude i will explain if u follow mee please

7x^2 + 6x - 4 = 5x^2


Write the quadratic equation in standard form.

Answers

I got 2x^2+6x-4=0 let me know if it’s right or not

The circumference of a circle is defined by the formula C = 2πr. What
formula should Harry use to find the radius if he knows the circumference?

Answers

Answer:

r = c/2π

Step-by-step explanation

2πr = C

move 2π to the other side it will become division as 2π is multiplying r

r = C/2π

please write the answers with explanation..if nonsense answers I will report.....so answer properly​

Answers

Answer: 86 degree

Step-by-step explanation:

The Straight line is 180 degrees so if we minus 180 by the outward degree there will be the degree for inward degree

P: 95 degrees T: 160 degree S: 88 degrees R: 91 degree

The degree for the pentagon is 540 degrees so If I minus 540 by all the four inward degrees there will be the missing last degree

95 + 160 + 88 + 91 = 434 degree

540 - 434 = 106 degree

180 - 106 = 94 degree

So the last inward degree is 94

Finally, if I minus 180 by 94 (the way I used to find inward degree and to find outward degree for now) it equals 86 degree

so X is 86 degree

Sorry if this was too confusing:)

Answer:

1st--> x=135

2nd-->x=74

Step-by-step explanation:

1st:

triangle =180°

180-90=90

90÷2=45

straight line=180°

180-45=135

therefore x=135°

2nd:

pentagon=540°

straight line=180°

180-92=88 for line s

180-20=160 for line q

180-85=95 for line p

180-89=91 for line r

160+95+88+91=434

540-434=106

180-106=74

therefore x=74°

hope that's okay

Select ALL of the transformations relative to y = x for the equation:

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are :

Translation up y - axis 1 unit

Reflection in the y - axis

Answer:

The last two I think

Step-by-step explanation:

Can I pls have brainly?

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

i wanna say A srry if wrong

Step-by-step explanation:

because there all in rows

first there all even there the same shap and there the same size on eachone

Answer:

I think the answer is A.

Step-by-step explanation:

I am SO SO sorry if this is wrong! :(

Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9)
y =

Answers

Answer:

y =5

Step-by-step explanation:

m=

−9−7

5−5

=

−16

0

=0

y=mx+b

5=(0)(7)+b

b=5

therefore y = 5

Answer:  y = -2x - 1

Step-by-step explanation:

We can calculate the slope from the two given points.  Slope is the change in y per the change in x, sometimes called the rise (y) over the run (x)

Rise is (-9 -3) = -12

Run is (4 - (-2)) = 6

Slope = Rise/Run = -12/6 = -2

The line is y = -2x + b

Find b by using either of the two known points (solutions).  I'll choose (-2,3) [because I like smaller numbers]

y = -2x + b

3 = -2*(-2) + b

b = -1  [That was only slightly easier than -9 = -2*(4) + b; b = -1]

The equation is y = -2x - 1

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