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sweet-ann [11.9K]
3 years ago
13

Tell whether the statement below is always, sometimes, or never true. Equation like, a + 4 = 8 and 4 - m = 2 have exactly one so

lution.
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0
A + 4 = 8

a = 4

Can you add anything else to 4 to get 8? No.

4 - m = 2

-m = -2

m = 2

Can you subtract anything besides 2 from 4 to get 2? No.

So the statements are always true.
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A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Lyrx [107]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

\frac{dV}{dt}=4 \ m^3/s

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is V=\pi r^2 h

                                                 =( \pi \times 2^2\times h)\ m^3

\therefore V= 4\pi h

Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}

\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}

The rate change of height does not depend on the height.

Therefore the rate change of height is  \frac{1}{\pi} m/s.

3 0
3 years ago
How many times greater is 3.4x10^10 than 1.7x10^8<br><br> A)200<br> B)170<br> C)2.5<br> D)2
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The answer will be A. Hope it help!
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How fast is a bicyclist traveling in miles per hour is his tires are 27 inches in diameter and his angular speed is 5pi radians
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see my attachment

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3 years ago
What is greater 1/5 ,1/4 ,or 2/3 ?
nasty-shy [4]
I think it 1/4 i could be wrong
3 0
3 years ago
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