The letters of the word star are written on individual cards. if you always choose three cards and then put them back before the next set of three cards, how many different permutations will you have?

list all the different permutations in the space provided.

24

Step-by-step explanation:

There are 4 possibilities for the first card.

After that, there are 3 possibilities for the second card.

Finally, there are 2 possibilities for the third card.

The total number of permutations is 4×3×2 = 24.

Here's the list (in alphabetical order):

ARS

ART

ASR

AST

ATR

ATS

RAS

RAT

RSA

RST

RTA

RTS

SAR

SAT

SRA

SRT

STA

STR

TAR

TAS

TRA

TRS

TSA

TSR

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.