At the Beijing Olympics,

Ella and Iris are planning trips to nine countries this year. There are 12 countries they would like to visit. They are deciding

NISA [10]

Using the combination formula, it is found that there are 220 ways to decide which countries to skip.

The order in which the countries are skipped is not important, hence the <em>combination formula </em>is used to solve this question.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 3 countries are skipped from a set of 12, hence the number of ways is given by:

$C_{12,3} = \frac{12!}{3!9!} = 220$

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

5 0

2 years ago

Please hurry! This is due soon.

kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

$f(x)=\frac{e^7^x+\sqrt{3}}{2}$

$y=\frac{e^7^x+\sqrt{3}}{2}$

$x=\frac{e^7^y+\sqrt{3}}{2}$

$2x=e^7^y+\sqrt{3}$

$e^7^y=2x-\sqrt{3}$

$7y=ln(2x-\sqrt{3})$

$y=\frac{ln(2x-\sqrt{3})}{7}$

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

$g(f(x))$

$g(\frac{e^7^x+\sqrt{3}}{2})$

$\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}$

2s cancel.

$\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}$

The natural log and e cancel.

$\frac{7x+\sqrt{3}-\sqrt{3}}{7}$

$\sqrt{3}$ s cancel.

$\frac{7x}{7}$

7s cancel.

$x$

Hope this helps!

3 0

3 years ago

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Naddika [18.5K]

The answer would be a

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A hula hoop club bought new hula hoops. The state charges 6% sales tax. If the cost for one hula hoop was $17, what was the tota

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15.98 is the answer

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Answer: first open your mouth then hold the pear and put it inn your mouth then chew then it will go down your thought

Step-by-step explanation:

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