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Naddika [18.5K]
3 years ago
7

Write 8% as a decimal

Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer:

0.08

Step-by-step explanation:

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A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas
Fittoniya [83]

Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

#V=pi r^2 h#

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

#V=pi (5m)^2 h#

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

#(dV)/(dt)=(25 m^2) pi (dh)/(dt)#

In the problem, we are given #3(m^3)/min# which is #(dV)/(dt)#.

So we need to substitute this in:

#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#

Hence,  Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>Formula used: </h3>

#V=pi r^2 h#

To Learn more visit:

brainly.com/question/4313883

#SPJ4

4 0
2 years ago
Read 2 more answers
I NEED AN MATH EXPERT ON THIS..Ill give brainless and extra points​
abruzzese [7]
I think it’s 90% cuz it’s 45/50 therefore 90/100
8 0
3 years ago
What’s the correct answer for this question?
zhannawk [14.2K]

Answer:

D

Step-by-step explanation:

It would be a cone with a radius of 4 units rotating around y-axis.

6 0
3 years ago
What is the soulution set of the equation 3x^2=48
valentina_108 [34]

Answer:

x = ± 4

Step-by-step explanation:

given 3x² = 48 ( divide both sides by 3 )

x² = 16 ( take the square root of both sides )

x = ± \sqrt{16} = ± 4

x ∈ {- 4, 4 }


8 0
3 years ago
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Which equation represents an exponential function with an initial value of 500 ?
Sergeeva-Olga [200]

Answer: f(x) = 500(2)^x

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3 years ago
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