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DIA [1.3K]
3 years ago
13

A radio station sells buttons and bumper stickers at a local fair the buttons cost $2.95 each and the bumper stickers cost three

dollars and 50 Cent each new radio station sells the most for $162 worth of buttons and bumper stickers if it’s represents the number of buttons and white represents the number of button bumper stickers which equality represents the scenario
Mathematics
2 answers:
Zarrin [17]3 years ago
8 0

Answer:

164.95

Step-by-step explanation:

melisa1 [442]3 years ago
5 0

Answer:more information plssss

Step-by-step explanation:

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Zadanie optymalizacyjne z matematyki. Proszę o rozwiązanie i wyjaśnienie
Yakvenalex [24]

Volume of the pyramid:

V=\dfrac{s^2h}3

Perimeter of the cross-section:

40=\sqrt2\,s+2\sqrt{\dfrac{s^2}2+h^2}=\sqrt2\left(s+\sqrt{s^2+2h^2}\right)

\implies h=\sqrt{\dfrac{(20\sqrt2-s)^2-s^2}2}=\sqrt{400-20\sqrt2\,s}

Area of the cross-section:

P=\dfrac12(\sqrt2\,s)h=\dfrac{sh}{\sqrt2}

\implies P=\dfrac{s\sqrt{400-20\sqrt2\,s}}{\sqrt2}=s\sqrt{200-10\sqrt2\,s}

First derivative test:

\dfrac{\mathrm dP}{\mathrm ds}=\dfrac{20\sqrt2-3s}{\sqrt{4-\dfrac{\sqrt2}5s}}=0\implies s=\dfrac{20\sqrt2}3

Then the height of the cross-section/pyramid is

h=\sqrt{400-20\sqrt2\,s}=\dfrac{20}{\sqrt3}

The volume of the pyramid that maximizes the cross-sectional area P is

V=\dfrac{\left(\frac{20\sqrt2}3\right)^2\frac{20}{\sqrt3}}3=\dfrac{16000}{27\sqrt3}

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3 years ago
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Bas_tet [7]
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Find the solution set for this equation:<br> -a2+4a=0<br> (Separate the two values with a comma)
Rashid [163]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: \{ 0,4 \}

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: -  {a}^{2}  + 4a = 0

\qquad \tt \rightarrow \: - ( {a}^{2}  - 4a) = 0

\qquad \tt \rightarrow \: {a}^{2}  - 4a = 0

\qquad \tt \rightarrow \:a(a - 4) = 0

The two cases are :

  • a = 0

or

  • a -4 = 0, that leads to a = 4

We can conclude :

\qquad \tt \rightarrow \:solution \: (a)  = \{ 0,4\}

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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2 years ago
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Answer:

{ \tt{ \sqrt[3]{24 {n}^{2}  }  \times  \sqrt[3]{36 {n}^{2} } }} \\  = { \tt{(  {n}^{ \frac{2}{3} })( \sqrt[3]{864})  }}

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Answer:

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Step-by-step explanation:

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