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laiz [17]
2 years ago
8

Expand (x – 4)^5 using the Binomial Theorem and Pascal’s triangle

Mathematics
1 answer:
worty [1.4K]2 years ago
7 0

5th \: row = 1 \:  \: \:  5 \: \:   \: 10 \:  \:  \: 10 \:  \: \:  5 \: \:   \: 1

(x - 4) {}^{5}  = x {}^{5}  + 5x {}^{4} ( - 4) {}^{1}  + 10x {}^{3} ( - 4) {}^{2}  + 10x {}^{2} ( - 4) {}^{3}  + 5x( - 4) {}^{4}  + ( - 4) {}^{5}

(x - 4)  {}^{5}  = x {}^{5}  - 20x {}^{4}  + 160x {}^{3}  - 640x {}^{2}  + 1280x  - 1024

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Which statements are true regarding the diagram? Check all that apply.
dem82 [27]

Answer:

1, 2, 3, 6

Step-by-step explanation:

I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.

4 0
3 years ago
Read 2 more answers
Can you find what each of the answers are
Ksju [112]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

1. Find Angle A :

  • x  + 24 = 3x

  • 3x - x =   2 4

  • 2x = 24

  • x = 12

Angle A :

  • 3x

  • 3 \times 12

  • 36 \degree

2. Find Angle B :

  • 10x - 27 = 7x

  • 10x - 7x = 27

  • 3x = 27

  • x = 9

Angle B :

  • 10x - 27

  • (10 \times 9) - 27

  • 90 - 27

  • 63 \degree

Find Angle C :

  • 5x + 1 = 6x  - 13

  • 6x - 5 x =  1 + 13

  • x = 14

Angle C :

  • 5x + 1

  • (5 \times 14) + 1

  • 70 + 1

  • 71 \degree

Find Angle D :

  • 6x  +  3 = 4x + 39

  • 6x - 4x = 39  -  3

  • 2x = 36

  • x = 18

Angle D :

  • 4x + 39

  • (4 \times 18) + 39

  • 72 + 39

  • 111\degree

And it's given :

  • 36° = Angle A = B

  • 63° = Angle B = A

  • 71° = Angle C = H

  • 111° = Angle D = E

Therefore, the answer will be " BAHE "

4 0
3 years ago
46 out of 200 dogs are short haired breeds. What percent of dogs are not short haired breeds
Ivahew [28]

Hi!

46 out of 200 are short haired, which means that 200 - 46 = 154 out of 200 are not short haired. In percentages, that is:

154/200 = 77/100 = 77%

Hope this helps!

8 0
3 years ago
Research results showed that experimental Drug R had a minimal to modest effect in reducing the symptoms of generalized anxiety
Angelina_Jolie [31]

Answer:

The variable that may change in response to the increase of the drug is the GAD symptoms by a 37,5%.

Step-by-step explanation:

According to the results of the first experiment with a mass of 200 mg of Drug R, they obtain a reduced of the GAD symptoms by a 25 percent evidenced by the Hamilton Anxiety Scale.

If they decided to increase the mass of Drug R to 300 mg the results expected are a increase of the porcentange of the reduced symptoms of generalized anxiety disorder, according to the tendence of the first hypothesis and the Hamilton Anxiety Scale.

We can express this increase by using the three simple rule. Where if 200 mg of Drug R reduced the 25% of the GAD symptoms, if we increase to 300 mg of Drug R how much porcentage this amount will be reduced.

Doing the maths 300mg × 25%=7500mg%,

    ⇒ 7500mg% ÷ 200mg = 37,5%.

<u>In conclusion</u> if they increased the mas of Drug R to 300 mg they will be reduced the generalized anxiety disorder (GAD) to a 37,5%.

3 0
3 years ago
Help... need it right now ;-;
zalisa [80]

Answer:

1

Step-by-step explanation:

|3 + 2 - 6| = |5 - 6| = |-1| = 1

3 0
3 years ago
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