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Serjik [45]
3 years ago
13

Please answer and show steps please show steps please show steps 10 points

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

Answer:

it is C 10

Step-by-step explanation:

 If the positions are distinct, as in executive offices, then P(9, 5). 

P(9, 5) = 9!/(9 - 5)! = 15120 

If the positions are equivalent, such as seats in a legislative body, then C(9, 5). 

C(9, 5) = 9!/[(9 - 5)!(5!)] = 126

Assuming the five positions are unique in their duties and responsibilities (i.e. order matters): position 1 has 9 candidates to choose from, position 2 has 8, position 3 has 7, and so on. Otherwise, if you're talking about 5 distinct but duplicate positions - meaning their responsibilities are the same but 5 people are required to carry them out - you need to divide the previous total number of possibilities by the number of ways those possibilities could have been reordered.

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The function C(x) = 29x + 54.5 represents the cost (in dollars) of cable for x months, including $54.50 installation fee. How ma
Ratling [72]

Hey there!!

Given equation :

... c(x) = 29x + 54.5

<em>In this equation $54.50 is installation fee and this would remain as a constant. ( This value wouldn't change ). </em>

<em>'x' is represented as the number of months. </em>

The total cost or c(x) is given as $344.50

Getting this into equations :

... 344.50 = 29x + 54.5

Subtracting 54.5 on both sides :

... 29x = 290

Dividing by 29 on both sides :

... x = 10

<u><em>Hence, the number of months is 10. </em></u>

Hope my answer helps!!

8 0
3 years ago
urgente ordenar de mas grande a mas pequeño estos numeros: 85,94 85,490 , 85,93, 85,035 ,85
Ilia_Sergeevich [38]
Largest to Smallest:- 

First lets write all the numbers down. 45, 94, 85, 490, 85, 93, 85, 035, 85. 

035 is 35. 

So lets order them now.

The biggest number is 490 and smallest is 35 (035).

490 - 94 - 93 - 85 - 85 - 85 - 85 - 035 (35)

4 0
3 years ago
Read 2 more answers
In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
3 years ago
21 + (-21) + (-4) please help me out with this question
max2010maxim [7]

Answer:

-4

Step-by-step explanation:

Adding 21 and -21 cancel each other out so you're left with -4

4 0
4 years ago
Subtract. Express your answer in lowest terms. 10 5/11 - 4 2/11
Zigmanuir [339]

Answer:

6   3 /11

Step-by-step explanation:

10 5/11 - 4 2/11

since they already have a common denominator

  10   5/ 11

- 4   2 /11

-------------

6   3 /11

6 0
3 years ago
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