Answer:
x= 14.8 -16.83
Step-by-step explanation:
Try to get x by itself
6x= 89-101
divide both sides by 6 and you get x= 14.8 -16.83
Answer:
The shape of the graph of f(x)=x is that of a linear function.
Step-by-step explanation:
The graph f(x)=x is the parent function of the linear function. It is a positive function since it goes upward from left to right, and it passes through the point of (0,0). It also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x. Note once again: The parent linear function and the graph of f(x)=x are the exact same graph.
15 extra hours they get overtime
Answer:
the ingegral I=π/4
Step-by-step explanation:
From the integral
I=∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy
from polar coordinates
r²=x² + y²
then for r=1
√(1- y²) = x
for y=1 → x=0 , for y=0 → x=1
then the integration area is a hemisphere or radius r=1
therefore
I= ∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy = (1/2)∫2π-0 ∫1-0 r² *r drdθ ( the additional r is due to the Jacobian of the transformation to polar coordinates , 1/2 because is an hemisphere so it would be the half of the value of the total sphere)
I= (1/2)∫2π-0 ∫1-0 r³drdθ = (1/2)∫2π-0 (1⁴/4 - 0⁴/4) dθ = (1/2)∫2π-0 (1/4)*dθ = (1/2)*(1/4)*2π = π/4
Since volunteers can be of any sexe (no precision given in your problem), then we can consider the question as how many group of 6 we can make with 12 persons:
It's a combination of 6 chosen among 12
¹²C₆ = (12!)/(6!).(12-6!)
²C₆ = (12!)/(6!).(6!)<span>
</span>¹²C<span>₆</span> = 924 Ways
