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# Water is pumped into a partially filled tank at a constant

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Senior Manager
Joined: 10 Nov 2010
Posts: 267
Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
GMAT 2: 540 Q44 V21
WE: Information Technology (Computer Software)
Followers: 5

Kudos [?]: 238 [1] , given: 22

Water is pumped into a partially filled tank at a constant [#permalink]

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21 Feb 2011, 04:53
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Difficulty:

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Question Stats:

77% (01:22) correct 23% (00:30) wrong based on 201 sessions

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Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing?

(1) The amount of water initially in the tank is 200 gallons.
(2) Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every $$2\frac{1}{2}$$ minutes.

Official Guide 12 Question

 Question: 10 Page: 273 Difficulty: 600

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Video Explanations:

OPEN DISCUSSION OF THIS QUESTION IS HERE: water-is-pumped-into-a-partially-filled-tank-at-a-constant-136881.html
[Reveal] Spoiler: OA

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Re: Water is pumped into a partially filled tank at a constant [#permalink]

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21 Feb 2011, 05:13
I agree with solution B. Since water is being pumped into the tank at the rate of 10 gallon per minute and out at the rate of 4 gallon (calculation: 10*2/5) per minute the water level increases at the rate of 6 gallon per minute.

However, as you were able to derive the answer yourself (and included the solution), I'm not quite sure why you posted the question.
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Re: Water is pumped into a partially filled tank at a constant [#permalink]

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17 Feb 2016, 20:47
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Re: Water is pumped into a partially filled tank at a constant [#permalink]

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18 Feb 2016, 01:17
GMATD11 wrote:
Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing?

(1) The amount of water initially in the tank is 200 gallons.
(2) Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every $$2\frac{1}{2}$$ minutes.

Official Guide 12 Question

 Question: 10 Page: 273 Difficulty: 600

Find All Official Guide Questions

Video Explanations:

Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing?

(1) The amount of water initially in the tank is 200 gallons. Clearly insufficient.
(2) Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every $$2\frac{1}{2}$$ minutes. Since water is pumped out of the tank at a rate of 10 gallons every $$2\frac{1}{2}=\frac{5}{2}$$ minutes, then it's pumped out at a rate of $$\frac{10}{(\frac{5}{2})}=4$$ gallons per minute, hence the net increase is $$10-4=6$$ gallons per minute. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: water-is-pumped-into-a-partially-filled-tank-at-a-constant-136881.html
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Re: Water is pumped into a partially filled tank at a constant   [#permalink] 18 Feb 2016, 01:17
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text:
scrolling_spectro create videos of single row spectrograms scrolling from right to left sync'ed with sound.

scrolling_spectro(wave, file.name = "scroll.spectro.mp4", hop.size = 11.6, wl = NULL,
ovlp = 70, flim = NULL, pal = seewave::reverse.gray.colors.1, speed = 1, fps = 50,
t.display = 1.5, fix.time = TRUE, res = 70,
width = 700, height = 400, parallel = 1, pb = TRUE,
play = TRUE, loop = 1, lcol = "#07889B99",
lty = 2, lwd = 2, axis.type = "standard", buffer = 1,
ggspectro = FALSE, lower.spectro = TRUE, height.prop = c(5, 1), derivative = FALSE,
osc = FALSE, colwave = "black", colbg = "white",
spectro.call = NULL, annotation.call = NULL, ...)

## Arguments

wave

object of class 'Wave'.

file.name

Character string with the name of the output video file. Must include the .mp4 extension. Default is 'scroll.spectro.mp4'.

hop.size

A numeric vector of length 1 specifying the time window duration (in ms). Default is 11.6 ms, which is equivalent to 512 wl for a 44.1 kHz sampling rate. Ignored if 'wl' is supplied.

wl

A numeric vector of length 1 specifying the window length of the spectrogram, default is NULL. If supplied, 'hop.size' is ignored.

ovlp

Numeric vector of length 1 specifying the percent overlap between two consecutive windows, as in spectro. Default is 70.

flim

A numeric vector of length 2 specifying limits in the frequency axis (in kHz). Default is NULL (which means from 0 to Nyquist frequency).

pal

Character string with the color palette to be used. Default is 'reverse.gray.colors.1'.

speed

Numeric vector of length 1 indicating the speed at which the sound file will be reproduced (default is 1, normal speed). Values < 1 (but higher than 0) slow down while values > 1 speed up. Note that changes in speed are achieved by modifying the number of frames per second in the output video. Hence, you may want to adjust 'fps' if video quality is considerably affected.

fps

Numeric vector of length 1 specifying the number of frames per second.

t.display

Numeric vector of length 1 specifying the time range displayed in the spectrogram.

fix.time

Logical argument to control if the time axis moves along with the spectrogram or remains fixed. Default is TRUE (fixed).

res

Numeric vector of length 1 specifying the resolution of the image files (see png).

width

Numeric vector of length 1 specifying width of the video frame in pixels (see png). Default is 700.

height

Numeric vector of length 1 specifying height of the video frame in pixels (see png). Default is 400.

parallel

Numeric vector of length 1. Controls whether parallel computing is applied by specifying the number of cores to be used. Default is 1 (i.e. no parallel computing).

pb

Logical argument to control if progress bar is shown. Default is TRUE.

play

Logical argument to control if the video is played after generated. Default is TRUE.

loop

Logical argument to control if the video is formatted to be played in a loop (i.e. if ends at the start of the clip).

lcol

Character string with the color to be used for the vertical line at which sounds are played. Default is "#07889B99".

lty

Character string to control the type of the line at which sounds are played. Line types can either be specified as an integer (0=blank, 1=solid (default), 2=dashed, 3=dotted, 4=dotdash, 5=longdash, 6=twodash) or as one of the character strings "blank", "solid", "dashed", "dotted", "dotdash", "longdash", or "twodash", where "blank" uses 'invisible lines' (i.e., does not draw them).Default is 2.

lwd

Character string to control the width of the line at which sounds are played. Default is 2.

axis.type

Character string to control the style of spectrogram axes. Currently there are 3 options:

• standard: Both Y and X axes are printed as in the default spectro view.

• minimal: Single lines are used to denote the range defined by 1 s and 1 kHz for the X and Y axes respectively.

• none: No axis is printed (also removes ticks, tick labels, and axis labels).

buffer

Numeric vector of length 1 (> 0) specifying the time to delay the start of the spectrogram scrolling (in seconds). Default is 1. Not available when loop is > 1.

ggspectro

Logical argument to control if a ggspectro (ggspectro) is used instead. Note that there is much less control on display parameters when ggpsectro = TRUE. Default is FALSE.

lower.spectro

Logical argument to control if a spectrogram of the full wave object is plotted at the bottom of the graph. Default is TRUE.

height.prop

Numeric vector of length 2 to control the relative height of the scrolling and lower spectro, respectively. Default is c(5, 1). Ignored if lower.spectro = FALSE.

derivative

Logical argument to control if spectral derivative is used instead of spectrogram (as in Sound Analysis Pro, see deriche). Default is FALSE.

osc

Logical argument to control if the oscillogram is plotted at the bottom of the spectrogram. Default is FALSE. Note that 'osc' and 'lower.spectro' are mutually exclusive.

colwave

Character string to control the color of the oscillogram. Default is 'black'.

colbg

Character string to control the background color. Default is 'white'.

spectro.call

A call from a spectrogram creating function (i.e. spectro, color_spectro) generated by the function call. This call will replace the internal spectrogram creating call. Default is NULL.

annotation.call

A call from text generated by the function call. The call should also include the argmuents 'start' and 'end' to indicate the time at which the labels are displayed (in s).'fading' is optional and allows fade-in and fade-out effects on labels (in s as well). The position ('x' and 'y' arguments) should be between 0 and 1: x = 0, y = 0 corresponds to the bottom left and x = 1, y = 1 corresponds to the top right position.

...

Additional arguments to be passed to spectro for customizing spectrograms. Note that 'scale' cannot be included.

## Value

A video file in mp4 format in the working directory with the scrolling spectrogram.

## Details

The function creates videos (mp4 format) of single row spectrograms scrolling from right to left. The audio is sync'ed with the spectrograms.

## References

Araya-Salas M & Wilkins M R. (2020). dynaSpec: dynamic spectrogram visualizations in R. R package version 1.0.0.

spectro

## Author

Marcelo Araya-Salas (marcelo.araya@ucr.ac.cr)

## Examples

if (FALSE) {

format: plain


text:
# Unity assembly files missing from “Temp/bin/Debug”

I'm trying to use VS Code on a Mac with Unity and C#. When I try to open a Unity project in VS Code, it can't load Assembly.dll* files from few locations which are defined by default in .csproj files; "Temp\bin\Debug\".

When I check the *Temp\bin\Debug* paths, while Unity is running, they are empty; they doe not contain the assembly files, where I assume they should. The files are in "Library/ScriptAssemblies". Moving them is not an option, because I would have to do that manually every time I change sth. in any script file. Changing the path in the .csproj files is also not a good idea, because those files get rewritten every time you open a project in Unity.

This issue causes lot of problems in the editor:

[WARNING:OmniSharp#MSBuild] Unable to resolve assembly '/[...]/Temp/bin/Debug/Assembly-CSharp-firstpass.dll'
[INFORMATION:OmniSharp#MSBuild] Update project: Assembly-CSharp-Editor-firstpass
[WARNING:OmniSharp#MSBuild] Unable to resolve assembly '/[...]/Temp/bin/Debug/Assembly-CSharp-firstpass.dll'
[INFORMATION:OmniSharp#MSBuild] Update project: Assembly-CSharp-Editor
[WARNING:OmniSharp#MSBuild] Unable to resolve assembly '/[...]/Temp/bin/Debug/Assembly-CSharp-Editor-firstpass.dll'
[WARNING:OmniSharp#MSBuild] Unable to resolve assembly '/[...]/Temp/bin/Debug/Assembly-CSharp-firstpass.dll'

All type references coming from my custom scripts and the UnityEngine namespace are missing, and highlighted as errors:

However, intellisense seems to be working fine for UnityEngine types:

I tried to reinstall MonoDevelop it a few times, including a brew and downloadable package. MonoDevelop seems to be installed properly:

$mono --version Mono JIT compiler version 4.6.2 (mono-4.6.0-branch/ac9e222 Wed Dec 14 17:02:09 EST 2016) Copyright (C) 2002-2014 Novell, Inc, Xamarin Inc and Contributors. www.mono-project.com TLS: normal SIGSEGV: altstack Notification: kqueue Architecture: x86 Disabled: none Misc: softdebug LLVM: yes(3.6.0svn-mono-master/8b1520c) GC: sgen .NET works as well: $ dotnet --version
1.0.0-preview2-1-003177

How do I fix this?

Solution came quicker than i expected, after some experimentations with creating new project and running it in VS Code (which was a successfull try) I've decided to remove whole .vscode directory from project dir and it worked.


text:
A compound contains three elements A, B and C , if the oxidation of A = +2, B = +5 Aand C = -2, the possible formula of the compound is:

(a) ${A}_{3}\left({B}_{4}C{\right)}_{2}$

(b) ${A}_{3}\left(B{C}_{4}{\right)}_{2}$

(c) ${A}_{2}\left(B{C}_{3}{\right)}_{2}$

(d) $AB{C}_{2}$

Concept Videos :-

#1 | Introduction

Concept Questions :-

Types of Bonding

(b) ${A}^{2+}+B{{C}_{4}}^{3-}⇒{A}_{3}\left(B{C}_{4}{\right)}_{2}$

Difficulty Level:

• 18%
• 55%
• 26%
• 3%


text:
# Shioda cycles, I

Let X be a smooth projective geometrically irreducible surface over F_p where p is a prime. (For example a smooth hypersurface in P^3_{F_p}.) The second betti number of X is the dimension over Q_l of the \’etale cohomology group H^2 = H^2(\bar{X}, Q_l) where l is a prime different from p and where \bar{X} is the base change of X to the algebraic closure of F_p. Since X is projective the first chern class of an ample divisor is a nonzero element of H^2 which is an eigenvector for the action of the geometric frobenius of X with eigenvalue p. Assume that the second betti number of X is even. (For example a smooth hypersurface in P^3_{F_p} of even degree.) Since the geometric frobenius of X acts by multiplication with p^2 on H^4 and since the nondegenerate pairing H^2 x H^2 —> H^4 is compatible with the action of frobenius we see that the eigenvalues of geometric frobenius on H^2 which do not equal to +p or -p have to pair up: if λ occurs so does p^2/λ (with the same multiplicity). Since the second betti number is even, we conclude that, besides the eigenvalue p we found above, there is at least one more eigenvalue p or -p. Moreover, which of the two cases occurs depends on the sign of the determinant of the geometric frobenius acting on H^2.

In the situation above the Tate conjecture predicts the rank of the Picard group of X is equal to the multiplicity of p as a generalized eigenvalue of the geometric frobenius acting on H^2. (Of course this is just a very special case of the Tate conjecture.) Thus in the situation above there is a “50% chance” that the Picard group is strictly bigger than Z. In fact, in a paper of Nick Katz and myself we proved a precise version of this statement in some cases. Perhaps the most straightforward of these is the case of hypersurfaces:

Fix d even, d ≥ 4. In this case the percentage of smooth hypersurfaces X of degree 4 in P^3 over F_p where the multiplicity of p of an eigenvalue of geometric frobenius on H^2(X) is 2 tends to 50% as p tends to infinity.

One concludes that for p large enough at least 49% of the smooth hypersurfaces X have Picard number 2 (according to the Tate conjecture). Similarly, in at least 49% of the cases the Picard number is (proveably) 1. Finally, there is a remaining 2% of cases where the Picard number could be larger than 2.

Let’s say a Shioda cycle is an effective divisor on one of our X’s above which is independent of the hyperplane class in Pic and whose existence is predicted via the Tate conjecture by the parity considerations above. Now, if you assume the Tate conjecture, then there exist a lot of Shioda cycles (they exist on roughly 50% of all hypersurfaces over F_p of even degree). What I want to know is this:

Is there a pattern in these cycles?

More precisely, as we vary X in the family, could it be that there is a common recipe for the construction of a Shioda cycle for most of the 50% of the X’s where we expect one? I’ll say a bit more about this in a future post.