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3 years ago

5

You want to paint a design in the center of the plate. If the design is 4 inches across and the plate is 8 inches across,how far

should the design be from the edge of the plate?

1 answer:

lbvjy [14]3 years ago

7 0

I think it might be 4, im not sure.

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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

7 0

3 years ago

Least common denominator?

Over [174]

Answer:

$\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}$

Step-by-step explanation:

$s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)$

4 0

3 years ago

A surveyor measures the lengths of the sides of a triangular plot of land. What is the measure of the angle of the triangular pl

SVEN [57.7K]

The second one is correct

4 0

4 years ago

Read 2 more answers

Compare the rates to find which is the better value.<br> $60 for 100 flyers or $95 for 250 flyers

Elis [28]

95 is the better deal it’s only 35 more bucks and you get 150 more.

8 0

3 years ago

mix 1 part of shampoo to six parts of warmwater.How much water do you need to mix with 200 ml of shampoo?

borishaifa [10]

For every one part, or in this case 200 ml of shampoo, there are three parts water. This means that there is 6 times more water than shampoo. 200 * 6 = 1200 ml of water

8 0

3 years ago