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Mathematics

1 answer:

ludmilkaskok [199]3 years ago

5 0

Answer:

Option D, 192 m³

Step-by-step explanation:

Volume = base area × height

= (6×8/2)×8

= 192 m³

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To the nearest millimeter, a cell phone is 82 mm long and 36 mm wide. What is the ratio of the width to the length?

iVinArrow [24]

<h2>The ratio of the width to the length of a cell phone is 18 : 41.</h2>

Step-by-step explanation:

Given,

The length of a cell phone(l) = 82 mm and

The width of a cell phone(b) = 36 mm

Find, the ratio of the width to the length of a cell phone = ?

∴ The ratio of the width to the length of a cell phone

= 36 mm : 82 mm

= 36 : 82

Divided by 2, we get

= $\dfrac{36}{2}$ : $\dfrac{82}{2}$

= 18 : 41

Thus, the ratio of the width to the length of a cell phone is 18 : 41.

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3 years ago

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2 years ago

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The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 10 + 0.002p3 and that its dem

Radda [10]

Answer: At $21.85, the supply will equal to demand.

Step-by-step explanation:

Since we have given that

Demand function is given by

$D(p) = 50 - 0.04p^2, \text{where p is the price.}$

Supply function is given by

$S(p) = 10 + 0.002p^3$

According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.

$D(p)=S(p)\\\\50-0.04p^2=10+0.002p^3\\\\50-10=0.002p^3+0.04p^2\\\\40=\frac{2}{1000}p^3+\frac{4}{100}p^2\\\\40=\frac{2}{100}p^2(\frac{1}{10}p+2)\\\\\frac{40\times 100}{2}=p^2(\frac{1p+20}{2})\\\\\mathrm{The\:Newton-Raphson\:method\:uses\:an\:iterative\:process\:to\:approach\:one\:root\:of\:a\:function}\\\\p\approx \:21.85861\dots$