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2 years ago

How do I expand the following equation with the binomial theorem?

Mathematics

1 answer:

Vsevolod [243]2 years ago

4 0

Answer:

16x^4+32x^3+24x^2+8x+1

Step-by-step explanation:

(2x+1)^4

(2x+1)*(2x+1)*(2x+1)*(2x+1)

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Giải phương trình sau: sinx=1/2

cupoosta [38]

Answer: $\begin{bmatrix}\mathrm{Radians:}\:&\:x=\frac{\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi n\:\\ \:\mathrm{Degrees:}&\:x=30^{\circ \:}+360^{\circ \:}n,\:x=150^{\circ \:}+360^{\circ \:}n\end{bmatrix}$

Step-by-step explanation:

$\sin \left(x\right)=\frac{1}{2}$

$x=\frac{\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi$

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2 years ago

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Martin was given this expression to simplify: 23x + xy – y + 3y + 5 – 20x + 6xy He simplified the expression to: 43x + 7xy −3y W

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

23x + xy - y + 3y + 5 - 20x + 6xy = 23x - 20x + xy + 6xy -y + 3y + 5

= 3x + 7xy + 2y + 5

Errors:1) The combined coefficients of the x terms should be 3x, not 43x

2) The coefficients of the y terms have been multiplied.

3) The constant was left off.

3 0

3 years ago

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How many cubic centimeters of water can this paper cone cup hold?

blagie [28]

48π cm^3

Step-by-step explanation:

The formula for the volume of a cone is...

$V=\frac{1}{3}\pi r^2h$

We can plug everything we know from the photo into the equation, but note that the picture gives us the diameter, which is 8, instead of the radius. The radius is half of the diameter, so the radius will be 4. Also we will be leaving pi as it is, instead of changing it to 3.14.

$V=\frac{1}{3}*(\pi *4*4*9)$

$V=\frac{1}{3}*(144\pi )$

V = 48π

The paper cone can hold 48π cubic centimeters of water.

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3 years ago

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If machanical advantage of simple machine is 4, what dose it indicates?

Savatey [412]

Answer:

Velocity ratio of simple machine is the ratio of distance travelled by effort to the distance travelled by load in the machine.Mechanical advantage MA is the ratio of output (generated by the machine) force to input (applied to the machine) force. So MA = 4 means that for example if you apply 100 N then your machine will multiply that force and generate 400 N.

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2 years ago

Please answer this correctly without making mistakes

Mnenie [13.5K]

Answer:

Step-by-step explanation:

750,000,000 times 10^5 can be expressed as 7.5 times $10^{11}$

7.55 times 10^13 is greater than 7.5 times 10^11.

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3 years ago

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