<span>There are 720 distinct permutations, or ways in which things can be rearranged. The formula is n!=n * (n-1) * (n-2) * (n-3) * (n-4) * (n-5) * (n-6) or, 6!=6*5*4*3*2*1=720. Therefore, the six basketball players can listed in 720 ways on the program.</span>
Answer:
72
Step-by-step explanation:
2^3x3^6= 5832
5832/3^4=72
(You could very well solve this on a T84 calculator, there are apps that simulate it on the phone I believe, but if you do not have a phone I am sure you could find a website that could do the job just as well! Good luck with the work! ^-^)
Answer:
0.9 ft
Step-by-step explanation:
3x .3
X= a number
29 - 2x= 21
subtract 29 from both sides
-2x= -8
divide both sides by -2
x= 4
CHECK:
29 - 2x= 21
29 - 2(4)= 21
29 - 8= 21
21= 21
ANSWER: The number is 4.
Hope this helps! :)
The enclosed shape is that of a trapezoid. The area of a trapezoid is the product of the height of it (measured perpendicular to the parallel bases) and the average length of the two parallel bases. The formula is generally written ...
... A = (1/2)(b₁ + b₂)·h
Here, the base lengths are the y-coordinates at x=4 and x=9. The height is the distance between those two x-coordinates: 9 - 4 = 5.
You are expected to find the y-values at those two points, then use the formula for the area of the trapezoid.
You can save a little work if you realize that the average of the two base lengths is the y-coordinate corresponding to the average x-coordinate: (9+4)/2 = 6.5. That is you only need to find the y-coordinate for x=6.5 and do the area math as though you had a rectangle of that height and width 5.
Going that route, we have
... y = 2(6.5) - 1 = 13 - 1 = 12
Then the trapezoid's area is
... A = 12·5 = 60 . . . . square units.
