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Julli [10]
3 years ago
14

A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore

d the same. How many ways of coloring are possible?
Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

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There will be 22 pairs of shorts were sold at a price of $9 each.

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2 years ago
1) g(n)= 3n - 4; Find g(-3)​
nalin [4]

Answer:

g(-3) = -13

Step-by-step explanation:

Plug in -3 for n in the equation:

g(n) = 3n - 4

g(-3) = 3(-3) - 4

Remember to follow PEMDAS. First, multiply, then subtract:

g(-3) = 3 * -3 = -9

g(-3) = -9 - 4

g(-3) = -13

-13 is your answer for g(-3).

~

4 0
3 years ago
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Your firm has a new strategy that will make its established product obsolete. However, it will take a year before you are ready
pogonyaev

Answer:

The transition between launching a new product or strategy and discontinuing the current product is a crucial business decision because it involves financial risk, customer relation and overall brand of the organization.

Step-by-step explanation:

I would choose to announce the new business strategy with a risk of short-term financial loss because of the following reasons:-

Competitive Business Environment:- In a competitive world, an organization must update the current line of products or introduce a new one to meet the growing demand and expectations of its customers. Even though a new strategy or product may incur additional cost or a loss, product development is key to having an edge over its competitors.

 Long-Term Goal:- Organizations that develop strategies keeping the long-term vision of the company in mind tend to survive and sustain profits in the long run. Business is an on-going process so it’s important to stay relevant to customer demands in the future as well. Loyal customers always expect the company to deliver new products and services which can outperform the existing products and creates brand loyalty.

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6 0
3 years ago
Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base 6.4 i
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The surface area of the square pyramid will be 78.08 square inches.

<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

<h3 />

Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

SA = P\times\dfrac{l}{2}

SA = 25.6\times \dfrac{6.1}{2}

SA = 78.08 square inches

Therefore the surface area of the square pyramid will be 78.08 square inches.

To know more about a surface area follow

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2 years ago
the sides of a triangle are 8 inches, 9 inches, and 10 inches. if the shortest side of a similar triangle is 24 inches Find long
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