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Mazyrski [523]
3 years ago
10

Twelve people are being honored for their work in reducing pollution. In how many ways can we line up these people for a​ pictur

e?
Mathematics
2 answers:
egoroff_w [7]3 years ago
7 0
You could line them up 12! (12 factorial) ways.
12*11*10*9*8*7*6*5*4*3*2*1
479001600
timofeeve [1]3 years ago
6 0
It might be <span>479001600 or 12 factorial... I may be wrong. 
So like
12*11 for the first slot
12*10 for the 2nd slot
and so on.</span>
You might be interested in
What is the true solution to 3 in 2 + in 8 = 2 in (4x)
11Alexandr11 [23.1K]
The first step for solving this equation is to determine the defined range.
3㏑(2) + ㏑(8) = 2㏑(4x), x > 0
Write the number 8 in exponential form.
3㏑(2) + ㏑(2³) = 2㏑(4x)
Using ㏑(a^{x}) = x × ㏑(a),, transform the expression.
3㏑(2) + 3㏑(2) = 2㏑(4x)
Now collect the like terms on the left side of the equation.
6㏑(2) = 2㏑(4x)
Switch the sides of the equation.
2㏑(4x) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the left side of the equation.
㏑((4x)²) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the right side of the equation.
㏑((4x)²) = ㏑(2^{6})
Since the bases of the logarithms are the same,, you need to set the arguments equal.
(4x)² = 2^{6}
Take the square root of both sides of the equation and remember to use both the positive and negative roots.
4x = +/- 8
Now separate the equation into 2 possible cases.
4x = 8
4x = -8
Solve the top equation for x.
x = 2
Solve the bottom equation for x.
x = 2
         , x > 0
x = -2
Lastly,, check if the solution is in the defined range to find your final answer.
x = 2
This means that the correct answer to your question is x = 2.
Let me know if you have any further questions
:)
5 0
3 years ago
Read 2 more answers
Increments of seven ​
BaLLatris [955]

Answer:

Specific Learning Outcomes:  

Solve problems that involve finding powers of a number

Description of mathematics:  

In this problem students work with powers of numbers and, as a consequence, come to understand what is happening to the numbers.  

Students also see how an apparently enormous and difficult calculation can be broken down into manageable parts. The students should come to realise that there are only a limited number of unit digits obtained when 7 is raised to a power. Further,  these specific digits 'cycle round' as the power of 7 increases. This cycle is 7, 9, 3, 1, 7, 9, …

The same is true of the digit in the tens place.

6 0
3 years ago
If you have 8 marbles (5 green and 3 blue), what is the probability of drawing a green, then 2 blues, and then a green without a
kifflom [539]
The answer of this question is B
4 0
3 years ago
The regression equation y = -0.414x + 106.55 approximates the percent of people in an
murzikaleks [220]

The correct option will be:   A. 67%

<em><u>Explanation</u></em>

Given equation is:   y = -0.414x + 106.55 , where x is the length of the film in minutes and y is the percentage of people finish watching the film.

Here, the length of the documentary is given as 95 minutes. So, we will <u>plug x=95 into the above equation</u> and get....

y=-0.414(95)+106.55\\ \\ y=-39.33+106.55\\ \\ y=67.22 \approx 67

<em>(Rounded to the nearest percent)</em>

So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%

4 0
3 years ago
How many times can 4 go into 69
Black_prince [1.1K]
About 17 times. Just do 69/4
5 0
3 years ago
Read 2 more answers
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