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Mariulka [41]
3 years ago
13

Kendra bought a piece of fabric that was 14 feet long.Lisa bought a piece of that was 3 yards long.Kendra wanted to cut her fabr

ic so it was the same length as lisa's.How many feet did she need to cut off
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

Answer:

6

Step-by-step explanation:

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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
2 years ago
Select the action you would use to solve 4x = 16. Then select the property
oksian1 [2.3K]

Answer:

A.

Step-by-step explanation:

Since you are trying to find <em>x</em>, you have to divide both sides by 4 to isolate <em>x</em> and get your answer.

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3 years ago
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