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Veseljchak [2.6K]
3 years ago
9

WILL MARK AS THE BRAINLIEST!! 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 interpretation of v(4) = 64?
A. 4 of these cubes will have a total volume of 64 cubic feet

B. 4 sides of the cube have a total length of 64 feet

C. A cube with a volume of 4 cubic feet has side lengths of 64 feet

D. A cube with the side lengths of 4 feet has a volume of 64 cubic feet
Mathematics
1 answer:
andre [41]3 years ago
5 0
The answer is D. 

"A cube with the side lengths of 4 feet has a volume of 64 cubic feet." 
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Andrew [12]

Answer:

Given the initial population of termites = 60

After 7 days the population of termites = 225

Step-by-step explanation:

We have given the initial termites and the population of termites after 7 days. Now we are required to find the exponential growth model that will help to predict the future population of termites.  

We have, Y = Ca^x

When the value of x is zero then population (Y) is 60 termites.

Y = Ca^x

60 = Ca^x

Now, Y = 60a^x

At x = 7 days

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225 = 60 a^7

a^7 = 225/60

a = 1.2078

Thus, final population will be, Y = 60(1.2078)^x

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The answer is C. 24.5
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Problem1 a right square frustum is formed by cutting a right square pyramid with a plane parallel to its base. Suppose the origi
timama [110]

Answer:

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Step-by-step explanation:

From the figure attached we have to calculate the volume of the frustum formed by cutting off a square pyramid from the top.

Volume of the frustum = \frac{1}{3}\text{(area of the base with side 6 units)(height)}-\frac{1}{3}\text{(area of the base with side MN)}(Height)

Since ΔAPO' and ΔAOQ are similar so

\frac{AO}{AO'}= \frac{OQ}{O'P}

\frac{9}{6}= \frac{3}{O'P}

O'P = \frac{3\times6}{9}=2 units

Therefore, side MN = 2× O'P = 4 units

Now we put these values in the formula

Volume of the frustum = \frac{1}{3}(6\times6)(9)}-\frac{1}{3}(4\times4)(6)

= \frac{1}{3}(324)-(\frac{1}{3}\times96)

= \frac{324}{3}-\frac{96}{3}

= \frac{324-96}{3}=\frac{228}{3}

= 76 unit³

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3 years ago
nine fewer than half a number is five more than four times the number define a variable,write an equation and solve to find the
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1/2x - 9 = 4x + 5 

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x=4
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That is a true statement.

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