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Irina18 [472]
3 years ago
9

HELP WILL MARK BRAINLIEST IF CORRECT

Mathematics
2 answers:
Marina86 [1]3 years ago
7 0

Answer:

The independent variable is x Without x you have nothing to multiply 1/2 by and without x, you have nothing to subtract 2 by, however you are able to convert x to y without multiplying 1/2 or subtracting 2.

Step-by-step explanation:

Without x you have nothing to multiply 1/2 by and without x, you have nothing to subtract 2 by, however you are able to convert x to y without multiplying 1/2 or subtracting 2.

Hope I Helped!

lilavasa [31]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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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.

7 0
3 years ago
Over time, the number of organisms in a population increases exponentially. The table below shows the approximate
Harman [31]

Answer:

B

Step-by-step explanation:

I got it right in ed2022

4 0
2 years ago
Read 2 more answers
HELP PLZ It is your turn to wash the dishes. When you are finished, you begin to drain the water from the sink. The water's drai
Georgia [21]

Answer:

The rate of change is -0.75

Step-by-step explanation:

For each unit of <em>t</em> the volume of water is decreasing by 0.75.

At <em>t</em>=13.333 the volume of water is 0. at <em>t</em>=0 the volume of water is 10

Hope this helps

5 0
3 years ago
The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can be used to find the
Eduardwww [97]

Answer:

The numbers are 4 and 6

Step-by-step explanation:

Let

x------> the first positive even integer

x+2---> the second positive even integer

we know that

x(x+2)=x+(x+2)+14\\x^{2} +2x=2x+16\\x^{2}=16\\x=(+/-)4

The solution is

x=4 -----> positive value

x+2=4+2=6

The numbers are 4 and 6

4 0
3 years ago
Dan earns $8.25 an hour and works 20 hours a week. How much will he earn in three weeks?
maksim [4K]
Okay. So first 8.25 * 20 = 165. Then you multiply 165 by 3 (165*3). 165 * 3 = 495.
Dan will earn $495 in three weeks.
5 0
4 years ago
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