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3 years ago

3x-4+3x-4+7-2x+5x+5+7-2x= ?

Mathematics

2 answers:

konstantin123 [22]3 years ago

4 0

Yeah it is equal to 7x+11

Mila [183]3 years ago

3 0

It is equal to 7x+11

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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:

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2 years ago

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Serggg [28]

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3 years ago

the running back for the Eagles football team carried the ball 17 times for a total loss of 85 yards find the average change in

Alex

85÷17=5

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3 years ago

Which ordered pairs is a solution to −5x + 3y > 12?

In-s [12.5K]

Answer :-

Given inequality ,

-5x +3y > 12
3y > 5x + 12
y > 5/3x + 12/3
y > 5/3x + 4

From the options ,

When x is 3 and y = 9

y >1* 5 + 4
y > 5 +4
9> 9 ( Not possible )

When x is -5 y is 5

y > 5/3*-5 + 4
y > -8.3 + 4
5 > -3.7 ( Possible )

When x is 3 y is -6

y > 5 + 4
-6 > 9 ( Not possible )

When x is -2 y is -5

y > -3.33 + 4
-5 > -0.67 ( Possible )

When x is 2 y is 8

y > 3.33 + 4
8 > 7.77 ( possible )

When x is -6 y is 0

y > -10 +4
0 > -6 ( possible )

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3 years ago

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A right triangle has a leg measuring 52 m and a hypotenuse measuring 63 m. find the length of the other leg.

tangare [24]

By Pythagoras Theorem,
the length of the other leg= (63^2-52^2)^1/2
hope this helps :)

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3 years ago