B. 2/3
bcuz there are 3 slices and 2 of them are shaded
Answer:
The time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.
Step-by-step explanation:
The function for the height of the bottle rocket (in feet), <em>t</em> seconds after it is launched is:
Compute the value of <em>t</em> as follows:
Thus, the time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.
5-3^x = -40
subtract 5 from each side to get
-3^x=-45
divide both sides by -1 to make them positive
3^x = 45
need to do the natural logarithm on both sides to remove the variable from the exponent
so ln(3^x) = ln(45)
use logarithm rule to move x out
x ln (3) = ln(45)
dive each term by ln(3) then simplify to get
ln(3)/ln(45)
so x = ln(3)/ln(45) which calculates out to 3.46497352
round off to ten thousandths is 3.4650
Order doesn't mater so use combinations:
6C3 = 6!/ (3! (6-3)! ) = 6! /(3!*3!) = 6*5*4*3! / (3! 3!) = 6*5*4/3*2*1) = 20
9*10^7=90000000
There are ninety million possible combinations. :)
