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3 years ago

5

Can someone answer this easy proof

1 answer:

Alja [10]3 years ago

6 0

Answer: in picture

Step-by-Step: See Picture

If this is helpful, please mark me brainliest :)

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Help !!!! Thank you!!!!

castortr0y [4]

Answer:

Option (G)

Step-by-step explanation:

Volume of the real cane = 96 in³

Volume of the model of a can = 12 in³

Volume scale factor = $\frac{\text{Volume of the model}}{\text{Volume of the real can}}$

= $\frac{12}{96}$

$=\frac{1}{8}$

Scale factor of the model = $\sqrt[3]{\text{Volume scale factor}}$

$=\sqrt[3]{\frac{1}{8}}$

$=\frac{1}{2}$

Therefore, scale factor of the model of a can = $\frac{1}{2}$ ≈ 1 : 2

Option (G) will be the correct option.

3 0

3 years ago

PLEASE HELP ME QUICK PLEASE

Vikentia [17]

Answer:

34

Step-by-step explanation:

in the photo illustrated

3 0

3 years ago

How many degrees are in each interior angle of a regular pentagon? 50 72 108 120

Sindrei [870]

The answer 108 degrees.

6 0

3 years ago

Read 2 more answers

Evaluate using integration by parts

PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

$I(n)=x^ne^x-nI(n-1)$

This is called a power-reduction formula. We could try solving for $I(n)$ explicitly, but no need. $n=5$ is small enough to just expand $I(5)$ as much as we need to.

$I(5)=x^5e^x-5I(4)$

$I(5)=x^5e^x-5(x^4e^x-4I(3))=(x-5)x^4e^x+20I(3)$

$I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)$

$I(5)=(x^2-5x+20)x^3e^x-60(x^2e^x-2I(1))=(x^3-5x^2+20x-60)x^2e^x+120I(1)$

$I(5)=(x^3-5x^2+20x-60)x^2e^x+120(xe^x-I(0))$

Finally,

$I(0)=\displaystyle\int e^x\,\mathrm dx=e^x+C$

so we end up with

$I(5)=(x^4-5x^3+20x^2-60x+120)xe^x-120e^x+C$

$I(5)=(x^5-5x^4+20x^3-60x^2+120x-120)e^x+C$

and the antiderivative is

$\displaystyle\int2x^5e^x\,\mathrm dx=(2x^5-10x^4+40x^3-120x^2+240x-240)e^x+C$

8 0

3 years ago

Students in an art class cut colored paper into equal-sized squares. The paper measures 6 cm by 12 cm and they do not want to wa

solmaris [256]

The greatest possible side length is 24 square piece

7 0

3 years ago