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3 years ago

What is the prime factorasation tree of 36

Mathematics

1 answer:

Oduvanchick [21]3 years ago

8 0

36 = 3squared x 2squared

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What is 4,080,499 rounded to the nearest thousand?

kozerog [31]

4,080,499 rounded to the nearest thousand is 4,080,000.

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3 years ago

Explain the process for determining sales tax and total purchase price.

Ainat [17]

Answer:

in most states sales tax is .07 cents for every dollar you spend. for food it is different

Step-by-step explanation:

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3 years ago

The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

Take $x+1=u$

Differentiate with respect to $x$

$dx=du$

So,

$R(x)=$ ∫ $u\ln(u)\,du$

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

4 0

3 years ago

Help me 6 times 2 (1+3p) it’s algebra

irga5000 [103]

Answer:

12+36p

Step-by-step explanation:

First distribute the 2 to binomial then the 6.

6(2+6p)

12+36p

6 0

3 years ago

39 s 150% of what number?

professor190 [17]

Answer:

Hope this helps!

6 0

3 years ago