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xxMikexx [17]
3 years ago
14

The graph below shows the water level of a tank that is emptying over time.

Mathematics
1 answer:
Allisa [31]3 years ago
3 0
From inspecting the graph, you can identify the y-intercept and the slope of the line shown.

The y-intercept is 200 gallons.
The slope is 

             75-200
    m = ------------- = -12.5 gallons/minute
               10 -  0

Thus, y = 200 gallons - [12.5 gallons/minute ]t

To answer the 2nd question, let t = 12 minutes and calculate y(12).

To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
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If 60 minutes equals one hour, which expression would you use to find the number of
Kisachek [45]
Answer is: 60x=240
240/60=40
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Can someone help me I can't remember how to do ratios
omeli [17]

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If you divide each of those by 3, youll find that 1 casserole feeds 5 people

1 : 5 is the ratio.

Divide 30 by 5 = 6

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5 0
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MrRissso [65]
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6 0
3 years ago
Sin(xy)-x=0 find dy/Dx
MariettaO [177]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2989024

——————————

You have  y  as an implicit function of  x:

sin(xy) – x = 0


Use implicit differentiation. As  y  is a function of  x, then you must apply the chain rule there:

  d                                 d
—— [ sin(xy) – x ]  =  —— (0)
 dx                               dx


  d                           d               d
—— [ sin(xy) ]  –  —— (x)  =  —— (0)
 dx                         dx             dx

  d
—— [ sin(xy) ]  –  1  =  0
 dx

  d
—— [ sin(xy) ]  =  1
 dx
 
                   d
cos(xy)  ·  —— (xy) = 1
                  dx


Now, apply the product rule for that last derivative:

\mathsf{cos(xy)\cdot \left[\dfrac{d}{dx}(x)\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\
\mathsf{cos(xy)\cdot \left[1\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\
\mathsf{y\,cos(xy)+x\,cos(xy)\cdot \dfrac{dy}{dx}=1}


              dy
Isolate  —— :
              dx

                   dy
x cos(xy) · ——  =  1 – y cos(xy)
                   dx


Assuming  x cos(xy) ≠ 0,

 dy          1 – y cos(xy)
——  =  ————————    <———    this is the answer.
 dx            x cos (xy)


I hope this helps. =)

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3 years ago
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Arturiano [62]
<span>-5x+2y=10 
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</span>
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