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2 years ago

1 point

Mathematics

1 answer:

s2008m [1.1K]2 years ago

6 0

Answer:

i do not know

Step-by-step explanation:

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There are 12 yards of fabric. Each pillow uses 2/3 yard. How many pillows can be made?

Maurinko [17]

Answer:

18 pillows

Step-by-step explanation:

12 yards of fabric divided by 2/3 is 18. Therefore, 18 pillows at an be made.

Hope this helps :)

6 0

3 years ago

According to the 2010 U. S die senisa there are approximately 8 million people living in Virginia. this is 2.8 million less than

Drupady [299]

Answer:

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5 0

2 years ago

Integrala x la a treia ori ln la a doua dx va rog

Studentka2010 [4]

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

$\displaystyle \int x^3 \ln(x)^2 \, dx$

Integrate by parts:

$\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du$

where

u = ln(x)² ⇒ du = 2 ln(x)/x dx

dv = x³ dx ⇒ v = 1/4 x⁴

$\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx$

Integrate by parts again:

$\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'$

where

u' = ln(x) ⇒ du' = dx/x

dv' = x³ dx ⇒ v' = 1/4 x⁴

$\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx$

So, we have

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C$

$\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}$

3 0

2 years ago

Find the slope of the line through the pair of points: (5, 20) and (4, -17)

aliya0001 [1]

Answer:

m (slope) = 37

Step-by-step explanation:

use the slope-line formula, y2 - y1/x2 - x1

put in coordinates (5, 20) for x1 and y1

put in coordinates (4, -17) for x2 and y2

simplify

8 0

3 years ago

Read 2 more answers

This graph shows the cost of buying dried fruit.

Ann [662]

The slope of the line is3.50 This means that every pound of dried fruit costs $.3.50 sorry this is late

5 0

2 years ago

Read 2 more answers