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aleksley [76]
3 years ago
13

A box without a top is made from a rectangular piece of cardboard, with dimensions 12 cm by 10 cm, by cutting out square corners

with side length x. which expression can be used to determine the greatest possible volume of the cardboard box? (12−2x)(10−2x)x (12−x)(10−x)x (12x−10)(10x−12) (10−12x)(12−10x)
Mathematics
2 answers:
guapka [62]3 years ago
8 0
The answer is(12-2x)(10-2x)x
Just took the quiz myself ^~^
Vadim26 [7]3 years ago
6 0
Just took the test the answer is <span>(12−2x)(10−2x)x.
#k12</span>
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ms green tell you that a right triangle has a hypotenuse of 13 and a leg of 5 . She asks you to find the other leg of the triang
Montano1993 [528]

Answer:

\large \boxed{12}

Step-by-step explanation:

We can apply Pythagoras' Theorem.

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3 years ago
A large emerald with a mass of 378.24 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over
stepan [7]

Answer:

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Step-by-step explanation:

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3 years ago
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Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
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If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

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Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

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AleksandrR [38]

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