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Olegator [25]
3 years ago
15

A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number

of members x months after the club began? A. f(x) = 2x + 3 B. f(x) = 3x + 1 C. f(x) = 1.5(2)x D. f(x) = 3(2)x
Mathematics
1 answer:
erastova [34]3 years ago
3 0

In x th month, members =  3^{2x}. Option D.

Step-by-step explanation:

Given,

Initially number of members = 3

Every month each member brought 1 new member.

To find the number of members after x months.

<u>Solution:</u>

In 1st month, members = 3

In 2nd month, members = 3×3 = 9 = 3²

In 3rd month, members = 9×9 = 81 = 3^{4}

In 4th month, members = 81×81 = 81 = 6561 = 3^{8}

Hence,

In x th month, members =  3^{2x}

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Six balls are selected at random without replacement from an urn containing three white balls and five blue balls. find the prob
LenKa [72]
<span>25/28 is the probability of picking two or three white balls. Given that there are only 8 balls in total and of those 8, 5 of them are blue, this problem can be turned around to "What's the probability of selecting 5 blue balls?" And then subtracting that result from 1. There are a total of 6 ways of selecting all 5 blue balls. The only difference is when the single white ball is selected. The 6 ways are BBBBBW, BBBBWB, ..., WBBBBB. So let's calculate the probability of each of those 6. 5/8 * 4/7 * 3/6 * 2/5 * 1/4 * 3/3 + 5/8 * 4/7 * 3/6 * 2/5 * 3/4 * 1/3 + 5/8 * 4/7 * 3/6 * 3/5 * 2/4 * 1/3 + 5/8 * 4/7 * 3/6 * 3/5 * 2/4 * 1/3 + 5/8 * 3/7 * 4/6 * 3/5 * 2/4 * 1/3 + 3/8 * 5/7 * 4/6 * 3/5 * 2/4 * 1/3 = ? If you look closely at each of the 6 lines, you'll realize that the numerator will always be the product of 5!3 and the denominator will be 3*4*5*6*7*8. So, let's simplify to 6*5!3/(3*4*5*6*7*8) = 6*5*4*3*2*3/(3*4*5*6*7*8) = 2*3/(7*8) = 3/(7*4) = 3/28 Now we just need to calculate 1 - 3/28 = 28/28 - 3/28 = 25/28</span>
5 0
3 years ago
Which expression correctly represents "six more than the quotient of three and a number, decreased by eight"?
LenKa [72]

The option A is correct because the value of the statement is 6+3/n-8.

According to the statement

we have given that the statement and we have to write the statement in the numerical form.

So, For this purpose

we know that the given statement is

"Six more than the quotient of three and a number, decreased by eight".

In this statement "Six more than" indicates the sum between the quotient and 6.

And "The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

6+3/n-8

So, From the given statement, The option A is correct because the value of the statement is 6+3/n-8.

Learn more about Numbers here

brainly.com/question/11408596

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6 0
2 years ago
Help pls thank you!!!!
Semmy [17]

Answer:

y = 16

Step-by-step explanation:

You would plug in the value given for x into the function given.

\frac{1}{3}(18) + 10

Type that into a calculator and this would give you the output, which would be the value for Y.

The value for Y is 16.

Hope this helps.

8 0
2 years ago
Read 2 more answers
Y-24=-7 i also need to be able to show my work and make sure its correct
german

All you have to do is add 24 to both sides and you will get y.  You add 24 so that it will cancel from one side but be added to the other.  


The answer is y=17.


Hope this helps!

5 0
3 years ago
What is 670,130,000 km in scientific notation
MrRa [10]

Answer:

6.7013x10⁸ km

Step-by-step explanation:

670,130,000 km

=6.7013x10⁸ km

4 0
3 years ago
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