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4 years ago

Which fraction is equivalent to negative 4 over 6 ? (1 point)

Mathematics

1 answer:

katrin2010 [14]4 years ago

8 0

The answer would be 6 over negative 4.

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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

A 2-ft vertical post casts a 16-in. shadow at the same time a nearby cell phone tower casts a 120-ft shadow. How tall is the cel

Snowcat [4.5K]

Do 120÷8 aka 15 that is the answer

3 0

3 years ago

An angle measures 156° less than the measure of its supplementary angle. What is the measure of each angle?

Advocard [28]

Answer:

Angle 1: 168

Angle 2: 12

Explanation:

I did the math! basically, i did 168-156, and got 12. Then i added, 168+12, and got 180. So i know that both angles together make 180 degrees, which is the definition of supplementary angles.

7 0

4 years ago

Please help fast ill give brainliest

salantis [7]

Answer:

5y + 4 and 7y + 4 - 2y

Step-by-step explanation:

Look at the second choice:-

5y + 4 and 7y + 4 - 2y

Simplifying the second expression:-

7y + 4 - 2y

= 5y + 4

So both expressions are equivalent . Therefore if you plug in 2 or 5 the results will be the same.

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3 years ago

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Mobile devices offer consumers an access channel of ever-increasing importance, as demonstrated consumers’ ability to find water

rosijanka [135]

Answer:

technological

Step-by-step explanation:

According to my research on studies conducted by various sociologists, I can say that based on the information provided within the question this is an example of a trend within the technological environment. This is because technology helps create opportunities as well as allowing new ways of doing certain things. Like in this case finding bottle filling stations.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

7 0

4 years ago