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3 years ago

A pen cost half as much as a ruler. Write an expression to describe how much the pen cost, using r as the cost of the ruler.

Mathematics

1 answer:

gregori [183]3 years ago

6 0

Answer:

r=2p

Step-by-step explanation:

If r is ruler and p is pen, ruler equals pen times 2, so its r=2p

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Write as an exponential equation. logsub2(1/32)= -5

jok3333 [9.3K]

Answer:

The exponential equation is 2^-5 = 1/32

Step-by-step explanation:

When rewriting the equation, we always take the base (2) and raise it to the answer (-5). Then we set that equal to the term (1/32)

2^-5 = 1/32

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4 years ago

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

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3 years ago

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Aleksandr [31]

Answer:

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Step-by-step explanation:

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3 years ago

A pen cost half as much as a ruler. Write an expression to describe how much the pen cost, using r as the cost of the ruler.​

A pen cost half as much as a ruler. Write an expression to describe how much the pen cost, using r as the cost of the ruler.