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serg [7]
2 years ago
12

Why must integration be used to find the work required to pump water out of a​ tank?

Mathematics
1 answer:
Anton [14]2 years ago
7 0

Answer:

A. Different volumes of water are moved different distances.

Step-by-step explanation:

Integration is used to find work required to pump water out of a tank because different volumes of water are moved different distances and to sum it all we the tool required is integration. Moreover, work done is a path function or an inexact differential. It does depend upon the path followed by the process.

hence the correct answer is A.

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Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north
Grace [21]

Answer:

The answer is 21 minutes

Step-by-step explanation:

We use the equation Xf = Xo + vt

1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])

2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]

  • x_{1f1} =x_{o} +v_{1} t_{1} \\x_{1f1} =0+.1(15)\\x_{1f1} =1.5 [mi]

3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]

  • Child 1 final position => x_{1f} = x_{1f1} +v_{1} t\\x_{1f} =1.5+v_{1} t
  • Child 2 final position => x_{2f} =0+v_{2} t

4) Sum the equations and equate to 3

  • x_{1f} +x_{2f} =3

5) Substitute the values we already know

  • 1.5+v_{1} t+v_{2}t=3\\ 1.5+.1t+.15t=3\\1.5+.25t=3\\t=\frac{3-1.5}{.25} \\t=6 [min]

6) in 15 + 6 minutes they will be 3miles apart

7) In 21 minutes they will still be able to communicate with one another.

7 0
2 years ago
2ft 3in = how many inches​
Arte-miy333 [17]
1 ft = 12 inches

2 ft = 24 inches

24 inches + 3 inches = 27 inches
7 0
3 years ago
A business owner noted the features of the 100 cars parked at the business. Here are the results:
AlexFokin [52]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The probability is  P(4 \ doors | sunroof ) =  0.40

Step-by-step explanation:

 From the question we are told that

        The number of cars packed is  n = 100

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

   This probability is mathematically represented as

               P(4 \ doors | sunroof )

Baye's Rule define this probability mathematically  as

             P(4 \ doors | sunroof ) =  \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}

   From the diagram

          P(4 \ doors \ n \ sunroof ) =  20

and     P(sunroof) =  50

So

      P(4 \ doors | sunroof ) =  \frac{20}{50}

      P(4 \ doors | sunroof ) =  0.40

       

3 0
3 years ago
Is it true that Terms with no variables are like terms?
oksano4ka [1.4K]

Answer:

yes

Step-by-step explanation:

8 0
2 years ago
Which of the following is not used in the geometric constructions?
Yuki888 [10]

The answer is C. Compass.

Compass isn't used in the geometric constructions.

8 0
2 years ago
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