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Paraphin [41]
3 years ago
13

Which of the following represents the correct expansion of (x + 2)^5?

Mathematics
1 answer:
otez555 [7]3 years ago
8 0
(x + 2)^5 = (x + 2) (x + 2) (x + 2)(x + 2)(x + 2) =
(x2 + 4x + 4)(x2+4x+4)(x+2) = ( x4 + 4x3 + 4x2 + 4x3 + 16x2 + 16x + 4x2 +16x + 16)(x+2) = ( x4 + 8x3 + 24x2 + 32x + 16)(x+2) = ( x5 + 8x4 + 24x3 + 32x2 + 16x + 2x4 + 16x3 + 48x2 + 64x + 32) =
x5 + 10x4 + 40x3 + 80x2 + 80x + 32
Answer D
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Answer:ok

Step-by-step explanation:

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3 years ago
Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shap
zavuch27 [327]

Answer: Square, 24 square inches

Step-by-step explanation:

Given

Diameter of round pizza d=16\ in.

Side of square pizza a=15\ in.

Area of circle \pi r^2

The area of a square is a^2

\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2

The area of square pizza is

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2 years ago
7. Find an equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4.
bagirrra123 [75]

The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5

<h3>How to find the equation of a line?</h3>

The equation of a line can be represented as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4

Hence,

perpendicular lines follows the rule below:

m₁m₂ = -1

Hence,

5x - 3y = 4

5x - 4 = 3y

y = 5/ 3 x - 4 / 3

m₁ = 5 / 3

5/3 m₂ = -1

m₂ = - 3 / 5

Hence,

using (-4, 5)

5 = - 3 / 5 (-4) + b

5 = 12 / 5 + b

b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5

Therefore,

y = -3 / 5 x + 13 / 5

learn more on equation of a line here: brainly.com/question/10727767

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6 0
2 years ago
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<em>Answer:</em>

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<em>Step-by-step explanation:</em>

<em>20% of 15000 is 3000.</em>

<em>So he will pay 12000.</em>

<em></em>

<em>Hope I helped you!</em>

<em></em>

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The mean per capita consumption of milk per year is 133 liters with a variance of 576. If a sample of 195 people is randomly sel
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Answer:

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