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vova2212 [387]
3 years ago
8

Find the volume of a box with a height that is 4 inches less than the

Mathematics
1 answer:
lbvjy [14]3 years ago
8 0

Answer:

Volume of the box = x^3 - 4x^2

Step-by-step explanation:

V = L × W × H

Where,

V = volume of the rectangular prism

L= Length

W = Width

H = Height

volume of the rectangular prism = length × width × height

Length = x

Width= length = x

Height = x - 4

V = L × W × H

= x * x * (x - 4)

= x^2 (x - 4)

= x^3 - 4x^2

V = x^3 - 4x^2

Volume of the box = x^3 - 4x^2

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How do you solve a/7+5/7=2/7
Anton [14]
\frac{a}{7} + \frac{5}{7} = \frac{2}{7} \\ \frac{a + 5}{7} = \frac{2}{7} \\ 7(\frac{a + 5}{7}) = 7(\frac{2}{7})
a + 5 = 2
a + 5 - 5 = 2 - 5
a = -3

Hope this helps! :)
4 0
4 years ago
The difference of a number and five is negative one. Find the number.
Veronika [31]

Answer:

The number is 4

Step-by-step explanation:

Write algebraically:

n-5=-1

n=4

The number is 4

8 0
3 years ago
Describe how to transform:
Anna71 [15]

Answer:

x^\frac{35}{6}

Step-by-step explanation:

The expression to transform is:

(\sqrt[6]{x^5})^7

Let's work first on the inside of the parenthesis.

Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:

\sqrt[n]{a} = a^{\frac{1}{n}}

Therefore \sqrt[6]{a} = a^{\frac{1}{6}}

Now let's replace a with x^{5} which is the algebraic form we are given inside the 6th root:

\sqrt[6]{x^5} = (x^5)^{\frac{1}{6}}

Now use the property that tells us how to proceed when we have  "exponent of an exponent":

(a^n)^m= a^{n*m}

Therefore we get:  (x^5)^{\frac{1}{6}}=x^{\frac{5}{6}}}

Finally remember that this expression was raised to the power 7, therefore:

[tex](\sqrt[6]{x^5})^7=(x^\frac{5}{6})^7=x^\frac{35}{6}[/tex]

An use again the property for the exponent of a exponent:

8 0
3 years ago
Find the difference of 259.63 and 154.21
Ne4ueva [31]

Answer:

105.42

Step-by-step explanation:

       

       259.63

        <u>154.21</u>

         105.42

3 0
3 years ago
The lines 2x-4y=4 and y=2x-3 are <br> A.<br> B.<br> C.<br> Parallel<br> Perpendicular<br> Neither
Airida [17]
The answer is C. Neither
3 0
3 years ago
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