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2 years ago

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Mathematics

2 answers:

Bond [772]2 years ago

8 0

79
hope this helped

Alisiya [41]2 years ago

7 0

Answer: 79

Step-by-step explanation:

6 ÷ 3 + 9 x² - 4=79

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Between what two integers is the square root of 147

Sergio039 [100]

One of the more familiar squares is 144; the sqrt of 144 is 12. The next higher perfect square is 169, whose square root is 13. Thus, the sqrt of 147 lies between 144 and 169.

7 0

2 years ago

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Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.

kari74 [83]

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

$\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right$

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

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2 years ago

The length of a rectangle is 6 yards longer than its width. If the perimeter of the rectangle is 32 yd, find its area in square

ddd [48]

Let, width = x
Length = x + 6

Now, perimeter, 2(l+b) = 2(x+6+x)
2(2x+6) = 32
4x + 12 = 32
4x = 20
x = 5 &
x+6 = 5+6 = 11

As rectangle's dimensions are 11*5, it's area would be: 11 * 5 = 55 yards²

So, your final answer is 55 Yd²

Hope this helps!

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3 years ago

PLEASE HELP WILL MARK BRAINLIEST

prisoha [69]

Answer:

Step-by-step explanation:

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2 years ago

Calculate the value of the expression (Explain in words)<br><br> -30-(-20)

oee [108]

Answer:

-10

Step-by-step explanation:

when you subract a negative the minus signs negate each other

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2 years ago