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Rus_ich [418]
3 years ago
14

Can someone please help

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Answers:

  • Lateral Area = No lateral area (choice D)
  • Surface Area = 25.97 square inches (choice E)
  • Volume = 12.44 cubic inches (choice A)

============================================

Explanation:

Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.

-----------------------

The radius is 1 & 7/16

Let's convert this to decimal form

1 & 7/16 = 1 + (7/16)

1 & 7/16 = 1 + 0.4375

1 & 7/16 = 1.4375

The radius is r = 1.4375 inches.

-----------------------

SA = Surface area the sphere

SA = 4*pi*r^2

SA = 4*pi*(1.4375)^2

SA = 25.9672267773281

SA = 25.97 square inches (choice E)

-----------------------

V = Volume of the sphere

V = (4/3)*pi*r^3

V = (4/3)*pi*(1.4375)^3

V = 12.4426294974698

V = 12.44 cubic inches (choice A)

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3 years ago
The manufacturer of a CD player has found that the revenue R​ (in dollars) is Upper R (p )equals negative 5 p squared plus 1 com
AleksAgata [21]

Answer:

The maximum revenue is $1,20,125 that occurs when the unit price is $155.

Step-by-step explanation:

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\dfrac{d(R(p))}{dp} = \dfrac{d(-5p^2 + 1550p)}{dp} = -10p + 1550

Equating the first derivative to zero, we get,

\dfrac{d(R(p))}{dp} = 0\\\\-10p + 1550 = 0\\\\p = \dfrac{-1550}{-10} = 155

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Thus by double derivative test, maxima occurs at p = 155 for R(p).

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