Answer:
228 males
Step-by-step explanation:
Let x be the number of males.
This means x + 72 is the total number of people.
So 
is the fraction of females in the force.
Thus, we can form the equation:
Thus, the answer is 228 males.
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
Answer:
8.0 seconds to the nearest tenth,
Step-by-step explanation:
h=-16t^2 +vt + c.
-16t^2 + 116t + 101 = 0
t = [ -116 + /- √(116^2 - 4*-16*101) ] / (-32)
t = (-116 +/- √19920) / (-32)
t = -0.79, 8.036 (we ignore the negative root)
The time in flight = 8.036 seconds.
Answer:
-9x
Step-by-step explanation:
Without the confusing parentheses, this "polynomial" becomes -8x + x -2x. If we take 2 away from -8, it becomes -10. If we add a positive x, it becomes -9x. Therefore, the answer is (the monomial) -9x.
Geometric mean =x=<span>√(5 × 20)
=</span>√100
=10
