Answer: 60 gallons
Step-by-step explanation:
5 minute = 30 gallons
10 minutes will use double as m uch water because it's double as much time
Therefore, it will use 60 gallons of water
Answer:
See explanation
Step-by-step explanation:
f(x) = -2lx-3| +1
1.lx-3|==>Translate the basic absolute value graph f(x)=|x| 3 units to the right
2. -lx-3| ==> Flip the graph over the x-axis
3. -2lx-3| ==> Double all the y-coordinates of the graph
4. -2lx-3| +1 ==> Translate the graph 1 unit up
Answer:
dv = surface area * dh
so
dv/dt = surface area * dh/dt
width at surface = 40 + (80-40)(30/40)
= 40 + 30 = 70 cm = 0.70 m
so
surface area = 9 * .7 = 6.3 m^2
so
.3 m^3/min = 6.3 m^2 * dh/dt
and
dh/dt = .047 meters/min or 4.7 cm/min
Step-by-step explanation:
Answer:
Option B. The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
The correct quadratic equation is
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
Convert to vertex form
Factor -3
Complete the square
Rewrite as perfect squares
The vertex is the point (2,-21)
therefore
The equation has a maximum value with a y-coordinate of -21
Answer: 48 sold-out performances must be played in order for you to break even.
Step-by-step explanation:
Let x represent the number of sold-out performances must be played in order for you to break even.
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be
2500x + 30000
A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be
3125x
To break even, cost = revenue
Therefore,
2500x + 30000 = 3125x
3125x - 2500x = 30000
625x = 30000
x = 30000/625
x = 48
