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3 years ago

Pls answer its really easy proportions

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

7 0

Answer:

The answer would be A

Step-by-step explanation:

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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

What is 17,683 rounded to the nearest ten thousand?

MrMuchimi

20,000

Thankyou :)

Follow me....

3 0

3 years ago

Read 2 more answers

The area of circular garden is 530.66 feet2. What is the circumference of the garden? (Use 3.14 for .)

adelina 88 [10]

Answer:

The answer to your question is Circumference = 81.64 ft

Step-by-step explanation:

Data

Area of a circle = 530.66 ft²

Circumference = ?

π = 3.14

Process

1.- Calculate the radius of the circle

Area = πr²

-Solve for r²

r² = Area / π

-Substitution

r² = 530.66 / 3.14

-Simplification

r² = 169

-result

r = 13 ft

2.- Calculate the Circumference

Circumference = 2πr

-Substitution

Circumference = 2(3.14)(13)

-Result

Circumference = 81.64 ft

6 0

3 years ago

What is the scale factor between shape A and shape B

amid [387]

Cant see the other shape... but make a ratio using a side that is alike to both triangles...

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3 years ago

The ratio of girls to boys in Mrs. Turner’s class is 3:4. There are 9 girls in Mrs. Turner’s class. How many total students are

Naddik [55]

Not too sure but I think you’ll have to find out the amount of boys in the class then add that number to the amount of girls to get the answer.

6 0

3 years ago