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2 years ago

12

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

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

Read 2 more answers