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Alecsey [184]
3 years ago
10

How many solutions does the equation 10x – 23 = 29 – 3x have?

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0
1 tge answer vials flash the fled fb he a
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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

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3 0
2 years ago
PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!
Amanda [17]

g(-2) + g(2) = 22

Step-by-step explanation:

For x = -2, g(x) = x^2 - 3x

or

g(-2) = (-2)^2 - 3(-2) = 4 + 6 = 10

For x = 2, g(x) = 12, therefore

g(-2) + g(2) = 10 + 12 = 22

3 0
3 years ago
Graph shows a line through the ordered pairs, (4, 7) and (2, 3). what is the slope of the line?
Ilya [14]

Answer:

  b.  2

Step-by-step explanation:

The slope is rise/run = (y2-y1)/(x2-x1) = (3-7)/(2-4) = -4/-2 = 2.

6 0
3 years ago
Make an<br> equivalent<br> fractions<br> 2/3 = /9
JulsSmile [24]

Answer:

2/3=6/9

Step-by-step explanation:

multiply the fraction 2/3 by 3/3

2/3*3/3=6/9

5 0
3 years ago
Read 2 more answers
A group of adults and students buy tickets for a dance performance.
kakasveta [241]

Answer:

There are 10 students

Step-by-step explanation:

69.55-(5.35*3)= 53.5

53.5/10=5.35 which is what each ticket costed

So the answer is 10 students

6 0
3 years ago
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