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tankabanditka [31]
3 years ago
13

Which expression is equivalent to 4^-2 A. 1/4 * 1/4 B. 1/2 * 1/2 * 1/2 * 1/2 C. (-2)(-2)(-2)(-2) D. (4)(-2)

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

1/3

Step-by-step explanation:

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62.83 units³

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Find the value of X 6-4x= -8x -8
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Answer:

<u>Fraction:</u>

x=-\frac{7}{2}

<u>Decimal:</u>

x=-3.5

Step-by-step explanation:

Step-by-step on how to solve it is in the picture below.

Hope this helps! :)

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What is the volume of the prism
MakcuM [25]

From the graph , we have to find the length, width and height of the prism to calculate volume .

And for that we have to use distance formula.

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And the formula of volume is

Volume = length * width * height =  6*4*2=48 \ cubic \ units

3 0
4 years ago
Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation
Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\

by differentiating the second equation we have

\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}

and we replace dx/dt in the first equation

\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0

and by using the characteristic polynomial

m^{2}+4=0\\m=\±2i

the solution is

y(t)=Acos(2t)+Bsin(2t)

and to compute x(t) we have

\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

x(0)=B=4\\y(0)=A=3

I hope this is useful for you

regards

4 0
3 years ago
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1. Fill in the blanks: For the line 3.x - y = 2, the x-intercept is<br> and the y-intercept is-
Allushta [10]

Answer:

x-intercept: (2/3, 0)

y-intercept: (0, -2)

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y-intercept: when x = 0

3x - y = 2

0 - y = 2

y = -2

4 0
3 years ago
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