1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katena32 [7]
3 years ago
12

A leaking faucet drips into a bucket . the faucet drips at a constant rate the level of water in the bucket rises 8 inches in 12

hours what was the rate per hour of water level change
Mathematics
1 answer:
laiz [17]3 years ago
5 0
The rate of water level change per hour is 1.5 inches per hour. You can find it out easily by dividing the total time by the total level change. Hope this Helps:)
You might be interested in
Suppose a change of coordinates T:R2→R2 from the uv-plane to the xy-plane is given by x=e−2ucos(5v), y=e−2usin(5v). Find the abs
anzhelika [568]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The solution is  \frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}

Step-by-step explanation:

From the question we are told that

        x =  e^{-2a} cos (5v)

and  y  =  e^{-2a} sin(5v)

Generally the absolute value of the determinant of the Jacobian for this change of coordinates is mathematically evaluated as

     | \frac{\delta  (x,y)}{\delta (u, v)} | =  | \ det \left[\begin{array}{ccc}{\frac{\delta x}{\delta u} }&{\frac{\delta x}{\delta v} }\\\frac{\delta y}{\delta u}&\frac{\delta y}{\delta v}\end{array}\right] |

        = |\ det\ \left[\begin{array}{ccc}{-2e^{-2u} cos(5v)}&{-5e^{-2u} sin(5v)}\\{-2e^{-2u} sin(5v)}&{-2e^{-2u} cos(5v)}\end{array}\right]  |

Let \   a =  -2e^{-2u} cos(5v),  \\ b=-2e^{-2u} sin(5v),\\c =-2e^{-2u} sin(5v),\\d=-2e^{-2u} cos(5v)

So

     \frac{\delta  (x,y)}{\delta (u, v)} | = |det  \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] |

=>    \frac{\delta  (x,y)}{\delta (u, v)} | = | a *  b  - c* d |

substituting for a, b, c,d

=>    \frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 (e^{-2u})^2 cos^2 (5v) - 10 e^{-4u} sin^2(5v)|

=>   \frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 e^{-4u} (cos^2 (5v)   + sin^2 (5v))|

=>  \frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}

7 0
3 years ago
Work out the surface area of a sphere please help if u get it correct i’ll give h brainlest
Bingel [31]

Answer:

Surface area of sphere = 4πr²

r = radius

and radius = diameter/2

radius = 13/2

= 6.5cm

Surface area = 4 × π × 6.5

= 26 × π

= 81.68

= 81.7cm²

Hope this helps.

5 0
3 years ago
Please help me out with this one! I need step by step instructions (30 points!)
jolli1 [7]

Answer:

WAT DO U MEAN 30 POINTS UR ONLY GIVING 5

Step-by-step explanation:

ITS LITTERALLY RIGHT NEXT TO IT

8 0
3 years ago
The Diluent Corp. maintained in circulation during 2020 the following values: 200,000 common shares ($ 2,000,000 of legal capita
mr_godi [17]

I dont know ask your mom maybe she knows

6 0
3 years ago
10 - 6z = -104 *pls help me
ICE Princess25 [194]
X is equal to 19. Hoped this helped
6 0
3 years ago
Read 2 more answers
Other questions:
  • will call but in basketball a team can score one point basket 2. basket or three point basket list all the different ways a bask
    15·1 answer
  • HELP ASAP ASAP!!!!!!!!!!!!!!!!! HELP NOWWWWWWWWWW!
    6·2 answers
  • A linear function can be used to model the decrease in rainfall measured since 1880. The decrease in annual rainfall has been a
    6·1 answer
  • In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. In the survey,
    9·1 answer
  • 12+3 (4f-4) can you show your work and simple simplify
    12·2 answers
  • Grace made tables of values to solve a system of equations. First, she found that the x-value of the solution was between 0 and
    9·2 answers
  • Help please I give brainliest
    13·2 answers
  • What is the area of a rectangle if the length is 1/2 and the width is 1/4
    7·1 answer
  • No file answers or I will report you. Thanks!​
    9·1 answer
  • Add: -8x8+ (-3x8 + 3)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!