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Eddi Din [679]
3 years ago
8

Use Pascal's Triangle to expand the binomial (3x-4)^3 HELP PLEASEEEE

Mathematics
1 answer:
mario62 [17]3 years ago
6 0

Answer:

Option B

27x³ – 108x² + 144x – 64

Step-by-step explanation:

(3x – 4)³

(3x – 4) × (3x – 4) × (3x – 4)

(9x² – 12x – 12x + 16) × (3x – 4)

(9x² – 24x + 16) × (3x – 4)

27x³ – 36x² – 72x² + 96x + 48x – 64

27x³ – 108x² + 144x – 64

Thus, The answer is 27x³ – 108x² + 144x – 64

 

<u>-TheUnknownScientist 72</u>

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Please explain the how you got the answers thanks asap
stich3 [128]

Answer:

a) 90 stamps

b) 108 stamps

c) 333 stamps

Step-by-step explanation:

Whenever you have ratios, just treat them like you would a fraction! For example, a ratio of 1:2 can also look like 1/2!

In this context, you have a ratio of 1:1.5 that represents the ratio of Canadian stamps to stamps from the rest of the world. You can set up two fractions and set them equal to each other in order to solve for the unknown number of Canadian stamps. 1/1.5 is representative of Canada/rest of world. So is x/135, because you are solving for the actual number of Canadian stamps and you already know how many stamps you have from the rest of the world. Set 1/1.5 equal to x/135, and solve for x by cross multiplying. You'll end up with 90.

Solve using the same method for the US! This will look like 1.2/1.5 = x/135. Solve for x, and get 108!

Now, simply add all your stamps together: 90 + 108 + 135. This gets you a total of 333 stamps!

5 0
3 years ago
On an average day, 105 books are published in the United States. About how many books would be published in the month of Februar
zvonat [6]
About 3,000 books because 105 * 28 = 2940
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3 0
3 years ago
Read 2 more answers
Volume of right trapezoid cylindar whole bases are B 16m, b 8m, height is 4m and length is 32m
viktelen [127]

Answer:

volume = 1536 m^3

Step-by-step explanation:

given data;

B = 16m

b =8 m

height   H = 4 m

length  L = 32 m

volume of any right cylinder = (Area of bottom) \times (length)

Volume = A* L

The area of a trapezoid is

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A =\frac{1}{2} 4*(8+16)

A = 48 m^2

therefore volume is given as  

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6 0
3 years ago
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Anon25 [30]

Answer:

1, √3 , 2

Step-by-step explanation:

Note the side values of a 30-60-90 triangle. The answer is 1, √3 , 2, with 1 being the shortest side, and 2 being the hypotenuse.

For example:

10 , 10√3 , 20 can be the side measurements of a triangle.

~

5 0
3 years ago
There are 165 children taking swimming lessons at the pool . If 10 children will be assigned to each instructor, how many instru
olchik [2.2K]
Okay so 165 kids 
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8 0
3 years ago
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