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expeople1 [14]
3 years ago
7

Help and please explain

Mathematics
1 answer:
Elden [556K]3 years ago
7 0
-x + 2y = 6 then x = 2y - 6
6y = x +18 then x = 6y - 18
                     -----------------------substract
                          0 = -4y + 12
                                4y = 12
                                  y = 3

                         -x + 2y = 6
                         -x + 2(3) = 6
                               -x = 6 - 6
                                x = 0

answer: x = 0 (second choice)
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A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo
beks73 [17]

When an spherical balloon volume is increasing at the rate of 3ft^3/min then the diameter of the balloon is increasing \frac{3}{2\pi }ft /min

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is v=\frac{4}{3} \pi r^3

In form of diameter we can write as

v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3

Now we will differentiate both sides wrt to t we get

\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft

Given in the question \frac{dv}{dt} =3ft^3/min

thus when we substitute the values we get

\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi }  ft/min

Learn more about the differentiation here:

brainly.com/question/28046488

#SPJ4

3 0
2 years ago
1/4 cup equals how many pounds?
Leno4ka [110]

1/4 cup equals 0.25 lbs.

6 0
3 years ago
In November, the price of a GizmoPhone was double the price in March. In December, the price was $57, which was $29 less than th
Jet001 [13]
<span>December = $57

</span><span>In December, the price was $57, which was $29 less than the price in November then November price was: $57 + $29 = $86
</span><span>In November, the price of a GizmoPhone was double the price in March. so March: $86 x 2 = $172

answer: the price </span>of a GizmoPhone in March was $172
7 0
3 years ago
Theo and Kade worked on a school project together. Theo worked on the project 3 fewer hours than Kade did. Altogether, they work
babunello [35]

Let the hours Kade worked = X

Theo would be X - 3 ( 3 less than Kade).

Now you have:

X  + X -3 = 27

Combine like terms:

2x - 3 = 27

Add 3 to each side:

2x = 30

Divide both sides by 2:

x = 15

Kade worked 15 hours.

Theo worked 12 hours.

6 0
3 years ago
Read 2 more answers
cho hàm số y = f(x) có đạo hàm liên tục trên R thỏa mãn 2f(2x)+f(1-2x) = 12x2 víu mọi x thuộc R . Phương trình tiếp tuyến của đồ
Nina [5.8K]

Answer:

ask in english

Step-by-step explanation:

then I can help u

6 0
3 years ago
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