Rate of fill-up = 1/44 = 1/44 * 77/77 = 77/3388
Rate of emptying = 1/77 = 1/77 * 44/44 =44/3388
Combined Rate of Fill-up = 77/3388 - 44/3388 = 33/3388 = 3/308
Time for combined fill-up = 308/3 = 102.6667 hours = 102 hours and 40 minutes
Answer:
8^5
Step-by-step explanation:
Answer:
angle 1 = 83°
angle 2 = 88°
Step-by-step explanation:
angle 1 and angle on vertex B are
pair of co interior angles ( whose sum = 180° )
so, angle 1 + angle B = 180°
angle 1 = 180° - angle B
angle 1 = 180° - 97° = 83°
hence, angle 1 = 83°
but, angle 2 and exterior of vertex A forms alternate interior angle pair ,
so , angle 2 = angle A = 88°
i hope you got it ....
Answer:
x= 2 1/2
Step-by-step explanation:
Im not too sharp at math but hope this helps!
Answer:
The graph of the function
has a minimum located at (4,-3)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex of the parabola
If a > 0 the parabola open upward and the vertex is a minimum
If a < 0 the parabola open downward and the vertex is a maximum
In this problem
The coefficient a must be positive, because we need to find a minimum
therefore
Check the option C and the option D
Option C
we have

Convert to vertex form

Factor the leading coefficient





The vertex is the point (4,-3) ( is a minimum)
therefore
The graph of the function
has a minimum located at (4,-3)