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Darina [25.2K]
3 years ago
11

I need to put these nine cards into three groups according to similarities I see... but I don't see any similarities! Please hel

p

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0
Have you learned slope yet? Pick two points from the graph and do x-y on the top and x-y on the bottom. That would give you your slope then you can graph it. For example (-2,-1) (-1,1)
-2-(-1)
-1-1
Then that would give you -1/-2 so technically -1/2<< this is what you graph
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x^2-2x+5x-10

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A woman is emptying her aquarium at a steady rate with a small pump. The water pumped to a 12-in.-diameter cylindrical bucket, a
Temka [501]

Answer:

Therefore the rate at which water level is dropping is \frac{11}{21} in per minute.

Step-by-step explanation:

Given that,

The diameter of cylindrical bucket = 12 in.

Depth is increasing at the rate of = 4.0 in per minutes.

i.e \frac{dh_1}{dt}=4

h_1 is depth of the bucket.

The volume of the bucket is V = \pi r^2 h

                                                 =\pi \times 6^2\itimes h_1

\therefore V=36\pi h_1

Differentiating with respect yo t,

\frac{dV}{dt}=36\pi \frac{dh_1}{dt}

Putting  \frac{dh_1}{dt}=4

\therefore\frac{dV}{dt}=36\pi\times 4

The rate of volume change of the bucket = The rate of volume change of the aquarium .

Given that,The aquarium measures 24 in × 36 in × 18 in.

When the water pumped out from the aquarium, the depth of the aquarium only changed.

Consider h be height of the aquarium.

The volume of the aquarium is V= ( 24× 36 ×h)

V= 24× 36 ×h

Differentiating with respect to t

\frac{dV}{dt}=24\times 36 \times \frac{dh}{dt}

Putting \frac{dV}{dt}=36\pi\times 4

36\pi\times 4= 24\times 36\times \frac{dh}{dt}

\Rightarrow \frac{dh}{dt}=\frac{36\pi \times 4}{24\times 36}

\Rightarrow \frac{dh}{dt}=\frac{11}{21}

Therefore the rate at which water level is dropping is \frac{11}{21} in per minute.

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