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PtichkaEL [24]
3 years ago
14

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

terpretation of v(2)=8?
Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Answer:

  The volume of a cube with side length 2 is 8.

Step-by-step explanation:

The argument of the function is the side length. In v(2), the argument is 2, so the side length of the cube of interest is 2 units.

The value of the function is the volume of the cube. The value of v(2) is 8, so that is the volume of the cube whose side length is 2.

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If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3
Stolb23 [73]
I don't see a drawing of the quadrilaterals, so I don't know what the perimeter of quadrilateral P is. But whatever the perimeter of P is, Q will be 1/3 of that. Perimeter is a length, so even though it may pertain to a 2-dimensional object, it is still a 1-dimensional, linear measure. When two objects are similar (same shape, but scaled up or down by a scale factor), all corresponding linear measures have the same scale factor.

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7 0
3 years ago
Lim t^4 - 6 / 2t^2 - 3t + 7
Harman [31]

I think you meant to say

\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}

(as opposed to <em>x</em> approaching 2)

Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}

6 0
3 years ago
Divide 14 by v. Then, subtract 7.
Nastasia [14]

Answer:

14-7v

--------

  v

Step-by-step explanation:

i dont understand what else the answer could be, due to the fact that not enough information if provided to result in a solid sum.

3 0
3 years ago
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