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Morgarella [4.7K]
3 years ago
10

Total output is a synonym for

Mathematics
1 answer:
taurus [48]3 years ago
4 0
In the question "Total output is a synonym for". The correct answer is production. Output in economics is the "quantity of goods or services produced<span> in a given time period, by a firm, industry, or country", whether consumed or used for further production.</span>
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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
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49°<br> Solve for 42.<br> 2 = [?]<br> 44/62
Brrunno [24]

Answer:

∠2 = 41°

Step-by-step explanation:

∠2 + 49° + 90° = 180°

∠2 + 139° = 180°

∠2 = 180° - 139°

∠2 = 41°

5 0
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Which is bigger? 1.27 or 1 1/3?
uranmaximum [27]
11/3 is bigger 1.27 because when you do 11/3 you get 3.66666666666666666667 which is clearly bigger than 1.27 so like I said 11/3 is bigger than 1.27.
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Find the mass of the cone using triple beam balance
FromTheMoon [43]

Answer: it’s 542.0 ur welcome

Step-by-step explanation:

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3 years ago
Find the value of x and y that satisfy both equalities x/5=y/3 and 12/y=4/5 HURRY!!!!
Vika [28.1K]

x=25,y=15 Not to sure abt this answer but I think I got it

7 0
3 years ago
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