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3 years ago

Find the equivalent expression 5^6

Mathematics

1 answer:

Naily [24]3 years ago

6 0

5^12/5^6 Is the correct response. When equal numbers with different exponents are divided then the you must subtract the exponents.
Thus 12-6 = 6.

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

8 months ago

100 POINTS NEED ANSWER ASAP

never [62]

Answer:

DOMAIN: {4,5,6,7}

RANGE: {4,4.5,5,5.5,6,6.5,7}

Step-by-step explanation:

here is proof

Mark Brainiest Please

4 0

2 years ago

A function is shown in the table below. What equation represents this function?

den301095 [7]

Answer:

y=-3x+6

Step-by-step explanation:

that equation gives the answer for all the 'y'

7 0

2 years ago

NEEDED ASAP PLEASE HELP AND SHOW WORK TY WILL GIVE BRAINLIEST

Alla [95]

For all of the questions? Because
6x6=36
1x1x1=1
5x5x5x5x5x5=15,625
12x12=144
27x27x27x27=531,441
6^4=1296
0.5^3=0.125
(1/8)^2= 1/64

5 0

2 years ago

The fastest a human has ever run is 27 miles per hour how many miles per minute did the human run

garri49 [273]

Ok so all we need to do is divide 27mph by 60 to convert the mph to miles per minute.

27/60= .45 miles per minute

3 0

2 years ago