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valentina_108 [34]
3 years ago
13

Which expression has a value of 36? 3/7X42. 6/7X21. 3/4X48 10/13X39

Mathematics
1 answer:
Korvikt [17]3 years ago
3 0
7777777777777777777777777777
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A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a
miv72 [106K]

Answer:

22670.8 cm³/min

Step-by-step explanation:

Given:

Radius of the balloon at a certain time (r) = 19 cm

Rate of growth of radius is, \frac{dr}{dt}=5\ cm/min

The rate at which the air is pumped in the balloon can be calculated by finding the rate of increase in the volume of the balloon.

So, first we find the volume of the sphere in terms of 'r'. As the balloon is spherical in shape, the volume of the balloon is equal to the volume of a sphere. Therefore,

Volume of balloon is given as:

V=\frac{4}{3}\pi r^3

Now, rate of increase of volume is obtained by differentiating both sides of the equation with respect to time 't'.

Differentiating both sides with respect to time 't', we get:

\frac{dV}{dt}=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4\pi}{3}(3r^2)(\frac{dr}{dt})\\\\\frac{dV}{dt}=4\pi r^2(\frac{dr}{dt})

Now, plug in 19 cm for 'r', 5 cm per minute for \frac{dr}{dt} and solve for \frac{dV}{dt}. This gives,

\frac{dV}{dt}=4\pi (19 cm)^2(5\ cm/min)\\\\\frac{dV}{dt}=4\times 3.14\times 361\times 5\ cm^3/min\\\\\frac{dV}{dt}=22670.8\ cm^3/min

Therefore, the rate at which the air is being pumped into the balloon is 22670.8 cm³/min.

4 0
3 years ago
-12 +15 + (-30) +17= (?)
tino4ka555 [31]

Answer:

-10

Step-by-step explanation:

-12+15=3

(-30)+17=-13

3+(-13)=-10

7 0
3 years ago
This is what I need help with can someone please give me it it's a homework I don't get
Katena32 [7]
The answer looks like it's A.
5 0
3 years ago
HELP PLEASE ILL BE GIVING OUT 13 POINTS TO WHOEVER ANSWERS EARLY! PLEASE QUICKLY HELP
jok3333 [9.3K]

<em>Answer:</em>

D)(6(-3)/9)

<em>Step-by-step explanation:</em>

<em>                  -1</em>

<em>Simplify   ——</em>

<em>                  3 </em>

<em>       -1</em>

<em>6 • ——</em>

<em>       3 </em>

<em>-2</em>

<em>If this was helpful, please mark brainliest. Have a beautiful day!</em>

<em />

7 0
3 years ago
Hello, can someone explain/answer these?<br> You don't have to do both of them
MissTica

Answer:

#1= 5x5=25

25x the amount of squares= 25x6= 150cm^2

#2=  1.5x2.6= 3.9ft.

3.9xamount of right angle triangles= 3.9x8=31.2ft^2

(^2 means squared)

4 0
2 years ago
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