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miss Akunina [59]
3 years ago
14

Let v be the volume of a sphere, s be the surface area of the sphere, and r be the radius of the sphere. which equation represen

ts the relationship between these three measures
Mathematics
1 answer:
MakcuM [25]3 years ago
6 0
Let
v-------> <span> the volume of a sphere
s-------> t</span><span>he surface area of the sphere
r------> </span><span>the radius of the sphere

we know that
v=(4/3)*pi*r</span>³-----> v=(r/3)*4*pi*r²------> equation 1
and
S=4*pi*r²-----> equation 2

substitute equation 2 in equation 1
so
v=(r/3)*4*pi*r²-------> v=(r/3)*s

the answer is
the equation that <span>represents the relationship between these three measures
</span> v=(r/3)*s

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Kai is making a chessboard using pieces of wood that measure 1sq in when she finishes the chessboard well have an area of 64 sq
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Answer:

8 pieces of wood should be put along each side of the chessboard

Step-by-step explanation:

Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.

Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood

Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood

64 pieces of wood would be needed to complete the cheeseboard.

The number of pieces to put along each side of the cheese board will be √64.

This is because the shape of a chessboard is square.

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1. Find an algebraic representation for an exponential function if it is known that f(x + 1) = 4.f(x)
MrMuchimi

f(x)=4^{x-1} is the algebraic representation for an exponential function

Step-by-step explanation:

Given:

f(x + 1) = 4.f(x)

f(3) = 16

To Find:

Algebraic representation for an exponential function=?

Solution:

From the formula f(x+n) = 4^n f(x)

when n= 1, x= 3

f(3+1)= 4(1)f(3)

f(4)= 4f(3)

Substituting the value of f(3)

f(4)= 4f(3)

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f(4)=4^2

f (5) = 4^2 x 16

f (5) = 4^2 x  4^2

f(5)= 4^4

Similarly,

F(6) = 4^5

Hence, f(x)=4^{x-1}

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3 years ago
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