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3 years ago

Five children have to form a queue. In how many different ways can they be arranged?

Mathematics

1 answer:

Paladinen [302]3 years ago

8 0

Answer:

120 different ways

The total number of ways to do this is the product because of the fundamental counting principle[1]. So 5x4x3x2x1 = 5! (read as “5 factorial”[2]) = 120 different ways to line up those 5 people. Five people lining up essentially means 5 people sorting into 5 positions.

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Solve the exponential equation<br> 9^2x = 27

krek1111 [17]

27 = 9^(3/2)
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so x = 4/3

4 0

4 years ago

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Which expressions are equivalent to \dfrac{2^5}{6^5}

DerKrebs [107]

We have been given an expression $\frac{2^5}{6^5}$ . We are asked to choose the expressions, which are equivalent to our given expression.

Using exponent property $\frac{1}{a^n}=a^{-n}$ , we can rewrite our given expression as:

$\frac{2^5}{6^5}=2^5\cdot 6^{-5}$

Upon looking at our given choices, we can see that option D is the correct choice.

Let us simplify our given expression.

$\frac{2^5}{6^5}=\frac{2^5}{(2\cdot 3)^5}$

$\frac{2^5}{6^5}=\frac{2^5}{2^5\cdot 3^5}$

Upon cancelling out $2^5$ from numerator and denominator, we will get:

$\frac{2^5}{6^5}=\frac{1}{3^5}$

Using exponent property $\frac{1}{a^n}=a^{-n}$ , we will get:

$\frac{1}{3^5}=3^{-5}$

Therefore, option B is a correct choice as well.

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4 years ago

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4x-6>22 explain or prove if 5 or 8 is a solution to the inequality

babunello [35]

Answer:

Step-by-step explanation:

4(5) - 6 = 14

14 is not larger than 22, so 5 is not the solution.

4(8) - 6 = 26

26 is larger than 22, so 8 is the solution

3 0

3 years ago

Please helpppp me I really confused

IrinaK [193]

Answer:

The answer would be D

Step-by-step explanation:

This is a piecewise function, meaning that it is split into two parts. The right side is an exponential and that part is greater than one, the left side is a line less than or equal to one. The only equation that matches the criteria for that is D.

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3 years ago

explain the steps in solving 2.14x - 12.18 = -5.76, and write the solution to the equation. i will give brainest

yanalaym [24]

Answer:

First, I multiply 214×1,218, and then place the decimal four places to the left. Since there's only one negative number in the equation, I know that the answer will be a negative integer, and I place the negative sign in front of my answer.

Hope this helps!

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3 years ago