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marin [14]
3 years ago
12

Please help me it’s due today! The one on the top is just helping explain the bottom questions

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0

Answer:

dont know

Step-by-step explanation:

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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
Pls help and show workings
andreev551 [17]

Answer: x = 11

Step-by-step explanation:

same as the last question, set them as equal and solve. here's my work:

<em>5x - 1 = 4x + 10</em>

<em>5x - 1 (+ 1) = 4x + 10 (+ 1)</em>

<em>5x = 4x + 11</em>

<em>5x (- 4x) = 4x (- 4x) + 11</em>

x = 11

8 0
3 years ago
Kelvin measured the distance from his door to the park. It is 1.5 miles. The distance from Kelvin’s house to the library is twic
valkas [14]

Answer:

2.25

Step-by-step explanation:

1.5x1.5= 2.25

it is 1.5 mi from kelvins door to the park, it is 2.25 mi from kelvins house to the library.

hope this helps, let me know if you need more explaining

8 0
3 years ago
Lily is traveling to the coast. The trip takes her 5 hours including a half for lunch. If she is travelling at 60mph, how many m
Nata [24]
Lily travels 60 miles per hour So in 5 hours she travels 300 miles but she takes a 30 minute break so she travels 270 miles in 5 miles. 
8 0
3 years ago
Is the slope (+) (-) (zero) or (unidentified)​
Rom4ik [11]

Answer:

zero is the answer brainliest plz

Step-by-step explanation:

8 0
3 years ago
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