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Vilka [71]
3 years ago
14

What is the volume of a cube with a side length that measures 6 cm?

Mathematics
1 answer:
kolezko [41]3 years ago
7 0
6•6•6 or 6³=216
the volume is 216cm
You might be interested in
Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0
lilavasa [31]

Answer:

y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }

Step-by-step explanation:

Let,  D=\frac{d}{dx}

Now, us simplify the given differential equation and write it in terms of D,

36y''-48y'-48y=0

or, 3y''-4y'-4y=0

or, (3D^2-4D-4)y=0

We have our auxiliary equation:

3D^2-4D-4=0

or, (3D+2)(D-2)=0

or, D=2, - \frac{2}{3}

Therefore our solution is,

y=Ae^{2x}+Be^{- \frac{2}{3}x}

and, y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }

Applying the boundary conditions, we get,

A+B=1

2A-\frac{2}{3}B=0

Solving them gives us,

A=\frac{1}{4} ,B=\frac{3}{4}

Hence,

y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }

4 0
3 years ago
How does the Binomial Theorem’s use Pascal’s triangle to expand binomials raised to positive integer powers?
MrMuchimi

Answer:

There are  ways for quickly multiply out a binomial that's being raised by an exponent. Like

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = (a + b)(a + b)2 = (a + b)(a2 + 2ab + b2) = a3 + 3a2b + 3ab2 + b3

and so on and so on

but there was this mathematician named Blaise Pascal and he found a numerical pattern, called Pascal's Triangle, for quickly expanding a binomial like the ones from earlier. It looks like this

1                           1      

2                   1     2     1

3                1     3     3   1

4           1     4     6     4     1

5       1     5     10     10     5     1

Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle.

Hope this helps!

5 0
2 years ago
What is the area of the rectangle?
Zolol [24]
Area = lw
So 7(4) =28
Area = 28
The answer is C.
4 0
2 years ago
Looking for more friends(whats 2+2)<br> plz dont report
JulsSmile [24]

Answer:

4

Step-by-step explanation:

thz for the point :)))))))))))

6 0
3 years ago
Read 2 more answers
What is the range of the function y = x ^2?
VikaD [51]

Range: [0, ∞), {y|0 ≤ y}

3 0
3 years ago
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