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soldi70 [24.7K]
3 years ago
13

Someone please help me will give BRAILIEST!!!!

Mathematics
2 answers:
Naily [24]3 years ago
6 0
This is   the number of combinations of 2 from 6 =
  6!
-------
2! 4!

an easy way to work this out is 
 6*5
-----                      =  30 /2 = 15
 2 * 1

Answer is 15
romanna [79]3 years ago
6 0
Answer:

A 2 person team can be chosen in one of fifteen ways.

Explanation:

The question is not precise because if you treated it literally the answer would be 3. First you choose one team, 4 people are left in the group, the second team takes another 2 people and the remaining create the third team.

But I assume that the question is like "In how many ways a 2 people team can be chosen from 6 people?"

Such question has an answer 15 because first member is chosen from 6 people (so there are 6 possibilities), the second person is chosen from remaining five people so the number is <span>6⋅5=30</span>, but you have to divide the result by 2 because 2 people can be chosen in 2 ways but they still form the same team. It does not matter if you choose Ann first then John or the other way John first then Ann they form the same team.

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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
What’s the volume of the prism?
notka56 [123]

Answer:

48

Step-by-step explanation:

Prism shown: Rectangular prism

Volume of a rectangular prism = width times length times height

Given width: 4

Given height: 3

Given length: 4

Volume = 3 * 4 * 4 = 48

3 0
3 years ago
Read 2 more answers
Three friends all live on the same street that runs west to east. Ben lives 8 blocks from ann. Carol lives 2 blocks from ben. If
Romashka-Z-Leto [24]

Answer:

i. 10 units (Carol's house is 10 units on the right from Ann's house)

ii. -10 units (Carol's house is 10 units on the left to Ann's house)

Step-by-step explanation:

A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).

In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.

Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.

Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.

So that,

The possible locations of Carol's house depends on its position with respect to Ann's house.

i. Carol's house = 8 + 2

                          = 10 units

This implies that Carol's house is 10 units on the right from Ann's house.

ii. Carol's house = - 8 - 2

                           = -10 units

This implies that Carol's house is 10 units on the left to Ann's house.

6 0
3 years ago
Is the square root of negative 4 rational or irrational?
deff fn [24]
The square root of -4 is the same thing as the square root of -1 times the square root of 4.  The square root of 4 is 2, but the square root is an imaginary number, i.  Since it is an imaginary number, it is indeterminate whether it is a rational or irrational (given current number theory) so the square root of negative 4 is neither rational nor irrational.  It is imaginary.
3 0
4 years ago
Simplify. Write your answers without exponents. . . (1/64) ^ -2/3. . 25 ^ -3/3
guapka [62]


we are asked in the problem to simplify the expression  (1/64) ^ -2/3 * 25 ^ -3/3. In this case, the first step is to separately determine the values of (1/64) ^ -2/3 and 25 ^ -3/3 and then multiply the values. This is equal to 16 * 1/25 equal to 16/25. 
5 0
4 years ago
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