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victus00 [196]
4 years ago
9

Expand (x^2-3/2)^9 using binomial process

Mathematics
1 answer:
BaLLatris [955]4 years ago
8 0
Use the Binomial expansion theorem to find and simplify each term.

x^{18} - \frac{ 27x^{6} }{2}+ 81x^{14}- \frac{ 567x^{12} }{2}+ \frac{ 5103x^{10} }{16}- \frac{ 15309x^{8} }{16}+ \frac{ 15309x^{6} }{16} - \frac{ 59049x^{2} }{256}-\frac{19683}{512}

Man that was a lot to type out, hopefully i helped, and Gosh I hope I get a brainly for all that freaking typing. hehe~ ^.^
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Your company manufactures dolls. each doll requires 2 foot of ribbon for bows how many yards of ribbon will you be required to m
AnnyKZ [126]

Answer:

1200 feet of ribbon

Step-by-step explanation:

2 feet per doll

600 dolls

600 dolls x 2 feet per doll

1200 feet of ribbon for 600 dolls

6 0
3 years ago
Read 2 more answers
Which property is illustrated by the statement 6 • 4 = 4 • 6?
LenKa [72]
Commutative property because 6•4=4•6 is communative property
5 0
3 years ago
How to find x please help
o-na [289]
You know the adjacent and you need to find the opposite, so you would use tangent. Your equation would look like this; tan 26°= x/28. You would need to multiply both sides by 28 to simplify it to this; 28*tan 26°= x
Solving this, you would get an answer of 13.7
6 0
3 years ago
In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
3 years ago
An airplane travels 6903 kilometers against the wind in 9 hours and 8613 kilometers with the wind in the same amount of time. Wh
Rzqust [24]

Answer:

The rate of the plane is 862 miles per hour

Step-by-step explanation:

An airplane travels 6903 kilometers against the wind in 9 hours.

Speed = distance / time

Speed of the airplane while travelling against the wind is

6903/9 = 767 miles per hour

The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be

8613/9 = 957 miles per hour

Let x = speed of the airplane

Let y = speed of the wind

While travelling against the wind,

x - y = 767 - - - - - -- 1

While travelling with the wind,

x + y = 957 - - - - - - -2

Subtracting equation 2 from equation 1,

-y - y = 767 - 957

-2y = -190

y = -190/-2

y = 95 miles per hour

x = 957 - y

x = 957 - 95

x = 862 miles per hour

4 0
4 years ago
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