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3 years ago

9

Alan is modeling 2.65 divided by 5. How should he exchange the place-value blocks so he can make 5 equal shares? Please explain

how you found your answer too.

1 answer:

valkas [14]3 years ago

8 0

Your answer is to the question is 0.53

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Simplify 1/6 to natural number

S_A_V [24]

Answer:

0.166666667

Step-by-step explanation:

the 6 keeps repeating forever

6 0

3 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

Use the information to complete the task.

murzikaleks [220]

Answer:

14.25 - d

Step-by-step explanation:

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3 years ago

Select two ratios that are equivalent to 4:18

fredd [130]

36:8, 9:2, and 72: 16

Step-by-step explanation:

two ratios that are equivalent to 4:18

36:8, 9:2, and 72: 16

would all be equivalent. In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor. For

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3 years ago

What is the inverse of the function f(x) = x +3?

harkovskaia [24]

Answer:

x=y+3

Step-by-step explanation:

you just swap variables.

4 0

3 years ago