Answer:
Below.
Step-by-step explanation:
7P4
= 7! / (7-4)!
= 7*6*5*4*3*2*1 / ( 3*2*1)
= 7*6*5*4
= 840.
12C5
= 12! / (12-5)! 5!
= 12*11*10*9*8*7*6*5*4*3*2*1 / ( 7*6*5*4*3*2*1 * 5*4*3*2*1)
= 12*11*10*9*8 / 5*4*3*2*1
= 792.
Answer:
Point
Step-by-step explanation:
Just see it like this
we have a cube, so we have x-, y- and z- axis.
Now if we divide this cube by its z- value we will have a 2 dimensional figure with x- and y- axis.
If we keep doing this we will have a 1 dimensional figure with only a x - axis (a line) and if we divide that 1 more time we will make the figure collapse in 1 point.
Step-by-step explanation:
5²=4²+x²
25=16+x²
25-16=x²
9=x²
√9=√x²
3=x
A
Answer:
Neither linear nor exponential
Step-by-step explanation:
To check for a linear relationship. Find slope.
slope= (-1 - (-2)) / ( 5 - 2) = 1/3
check other points
slope = (1 - (-1) )/ (8 - 5) = 2/3
check more
slope = (4 - 1) / (11 - 8) = 3/ 3 = 1
Nope.
try assuming an exponential:
y = c * (a^x)
-2 = c* (a^2); -2/c = a^2
-1 = c *(a ^5); -1/c = a^5
1 = c * (a^8), 1/c = a^8
(-2/c)^4 = a^8 = 1/c
16/(c^4) = 1/c
c^3 = 16, then a = root (-2/ cube-root(16) )
The change from negative to postive would not work for y = c(a^x)
so...
assume y = a^x + k
-2 = a^2 + k
-1 = a^5 + k
... I would say neither..
Answer: 4.8 gallons to 7.6 gallons (appex)
Step-by-step explanation:
