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jeyben [28]
2 years ago
10

(m-2)5 = m3 True or False

Mathematics
1 answer:
AleksAgata [21]2 years ago
8 0
The answer is true trust just had this
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Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don
Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

nP_r=\frac{n!}{(n-r)!}

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

_nC_r=\frac{n!}{(n-r)!r!}

The formula can now be applied as follows;

\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}

If the order is not relevant, then the selection can be done in 56 ways.

3 0
1 year ago
Help please?!?!?!?!?!?!?
nadezda [96]

Answer:

Choice D is  correct answer.

Step-by-step explanation:

We have given two function.

f(x) =2ˣ+5x  and g(x)  = 3x-5

We have to find the addition of given two function.

(f+g)(x) =  ?

The formula to find the addition, we have

(f+g)(x) = f(x) + g(x)

Putting given values in above formula, we have

(f+g)(x) =   (2ˣ+5x)+(3x-5)

(f+g)(x) =   2ˣ+5x+3x-5

Adding like terms, we have

(f+g)(x) =   2ˣ+8x-5 which is the answer.

6 0
3 years ago
Which expression is equivalent to 16x4 – 64? and explain the answer plzz​
GuDViN [60]

Answer:

4(4x1-16)

Hope this helps

Have a good day :)

PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64

Step-by-step explanation:

3 0
3 years ago
If there are 30 adults at a party and 21 kids at a party what is the fraction of adults at the party
Arisa [49]

Answer:

i think its 70 percent maybe

3 0
3 years ago
Read 2 more answers
2cos2+cos2(2)−2cos2cos2=1​
vekshin1
The left side
1.99999925
1.99999925
does not equal to the right side
1
1
, which means that the given statement is false.
8 0
3 years ago
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