2 years ago

A prism is completely filled with 3996 cubes that have edge lengths of 13 in.

Mathematics

2 answers:

irina [24]2 years ago

4 0

The answer is 148, what grade are you in that’s really easy unless you didn’t pay attention. , anyways keep up

anygoal [31]2 years ago

4 0

The answer is 148in hope that helps

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Rationalize the numerator or denominator, and simplify:

allochka39001 [22]

$\dfrac{\sqrt[3]{x+h}-\sqrt[3]x}h\times\dfrac{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}=\dfrac{(\sqrt[3]{x+h})^3-(\sqrt[3]x)^3}\cdots$
$=\dfrac{x+h-x}\cdots=\dfrac h\cdots$

The $h$ s then cancel, leaving you with the $\cdots=\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}$ term.

If it's not clear what I did above, consider the substitution $a=\sqrt[3]{x+h}$ and $b=\sqrt[3]x$ . Then

$a^3-b^3=(a-b)(a^2+ab+b^2)$
$\implies\dfrac{a-b}h=\dfrac{a-b}h\times\dfrac{a^2+ab+b^2}{a^2+ab+b^2}=\dfrac{a^3-b^3}{h(a^2+ab+b^2)}$

4 0

3 years ago

Describe how you would estimate the square root of a number that is not a perfect square without using a calculator.

Mariulka [41]

Round of the number to the nearest whole number then multiply it by itself.

5 0

2 years ago

Need help with the question, I already have the degree and leading coefficient but not the constant term for this polynomial. f(

melisa1 [442]

Degree: 7
term: -3x^7
coefficient: -3

3 0

3 years ago

I’m now sure how to work this out... my teacher had shown us this today at the end of class.

Kipish [7]

That's "5 to the negative seventh power," and is equal to

1 1
---------- = --------- . I would accept "1/(5^7)" as correct.
5^7 78125

4 0

2 years ago

Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."

BaLLatris [955]

When the dilation is about the origin, the scale factor multiplies every coordinate. That is (considering the x-coordinate) ...
6·k = 3
k = 3/6 = 1/2

The appropriate choice is
1. 1/2

4 0

3 years ago

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