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1 year ago

I need some help please

Mathematics

2 answers:

Galina-37 [17]1 year ago

8 0

Answer:

Hexagon
Heptagon

Step-by-step explanation:

The first shape has 6 sides. Hence, it is called a hexagon.

The second shape has 7 sides. Hence, it is called a heptagon.

docker41 [41]1 year ago

8 0

<h3>Given:</h3>

Polygon 1
Polygon 2

The mathematical name for the given 2 polygons.

<h3>Solution:</h3>

The first polygon has 6 sides with an angle sum of 720°, which means the mathematical name given for this polygon is,

$\large\boxed {Hexagon}$

The second polygon has 7 sides with an angle sum of 900°, which means the mathematical name given for this polygon is,

$\large\boxed {Heptagon}$

Hence, the first polygon is a hexagon and the second polygon is a heptagon.

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3 years ago

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3 years ago

Read 2 more answers

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 $x+1=u$

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$dx=du$

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

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3 years ago

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Answer:

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Step-by-step explanation:

open parentheses: 4x-8-3

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