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3 years ago

A man traveled 1/3 of the distance between

Mathematics

2 answers:

VladimirAG [237]3 years ago

7 0

Answer: 2 hours 15 minutes

Step-by-step explanation:

3/4 of an hour times 3 will be 9/4; each fourth is 15 minutes. 9 times 15 is 135 minutes, which is 2 hours and 15 minutes

Elena-2011 [213]3 years ago

7 0

Answer:

2.25 hours

Step-by-step explanation:

The man traveled 1/3 of the distance in 3/4 of an hour.

This means that he needs to travel for 3 times as long to travel the entire distance.

3 * 3/4 = 9/4 = 2.25

2.25 hours.

Or, 2 hours and 15 minutes (as 0.25 = 1/4).

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Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

$f_{avg}=\frac{1}{e-1}$

8 0

3 years ago

One of the most popular indonesian traditional ensemble

Arte-miy333 [17]

Answer:

Gamelan

Step-by-step explanation:

a gamelan, is gamelan

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3 years ago

Which of the following lists is in order from least to greatest?

goblinko [34]

Answer:

Are you sure the question is right?

5 0

3 years ago

It 5/2 not -5/2 and sorry for telling u the

babunello [35]

What does this mean buddy?

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3 years ago

Read 2 more answers

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Anika [276]

Answer:

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Step-by-step explanation:

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sqrt(16) * sqrt(2) - sqrt(2)

4 sqrt(2) - sqrt(2)

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3 years ago