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ohaa [14]
3 years ago
8

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best inte

rpretation of v(4) = 64?
Mathematics
2 answers:
kirill [66]3 years ago
4 0

Let

s-------> the length side of a cube

we know that

the volume of a cube is equal to

V=s^{3}

the volume of a cube written in function notation is equal to

V(s)=s^{3}

For s=4\ units

the volume is equal to

V(4)=4^{3}=64\ units^{3}

therefore

<u>the answer is</u>

the best interpretation is

For a length side of a cube equal to 4\ units the volume is equal 64\ units^{3}

professor190 [17]3 years ago
3 0
I would interpret that the side of the cube is four since the volume of the cube is cube of the side. In this case 4 is the side and 4x4x4=64.
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3 years ago
Math6. Grade 6.
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2 (6 x+6)= ?
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So first you take what is outside the "( )" and you multiply it with what's in the "( )" so that gave us 12 because 2*6= 12. 
 
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3 years ago
Read 2 more answers
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

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3 years ago
How do you solve what is 2/3 of 3/4?
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Answer:

0.5

Step-by-step explanation:

4 0
2 years ago
In an expression<br>(8/9) squared (-81)+3/5dividedby-9/10
Nitella [24]
If you wanted to calculate it, there it is:
(\frac{8}{9})^2 (-81)+\frac{\frac{3}{5}}{\frac{-9}{10}} = \frac{64}{81}*(-81)+\frac{3}{5}*\frac{10}{-9} = -64+\frac{-2}{3}= \\ =-64-\frac{2}{3}=\frac{-192-2}{3}=\frac{-194}{3}
6 0
3 years ago
Read 2 more answers
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