Answer:
70000 gallons
Step-by-step explanation:
The total time between 8 a.m. to 6 p.m is 10 hours. The company starts producing at 8 am, therefore the time from 8 am to noon (that is 12 p.m) is 4 hours.
Since clients demand 100,000 gallons of milk over the course of one day, the demand of milk per hour = total demand per day/ total time per day
Demand per hour = 100000 gallons / 10 hours = 10000 gallons per hour
Since the milk is processed at a fixed rate of 7500 gallons/hour, At noon the amount of of milk produced = 7500 gallons/hour × 4 hours = 30000 gallons.
The gallons of milk are in the queue to be processed at noon = 100000 gallons - 30000 gallons = 70000 gallons
Answer:r
enor
Step-bay-step explanation:
Step 1: Find the slope
Slope formula = (y2 - y1) / (x2 - x1)
---You can choose any two points when finding the slope!
Point 1 = (-2,-10)
Point 2 = (-1,-3)
Slope = (-3 - - 10) / (-1 - - 2)
Slope = 7 / 1
Slope = 7
Step 2: Find the y-intercept
Now that we have the slope, we'll plug that and one point into slope-intercept form. Then, we'll solve for b.
Slope-Intercept Form: y = mx + b
---m is the slope, b is the y-intercept
Point = (-1, -3)
Slope = 7
-3 = 7(-1) + b
-3 = -7 + b
b = 4
Step 3: Put it all together
Now that we know the slope and y-intercept, all that's left to do is plug them into slope-intercept form.
Slope-Intercept Form: y = mx + b
Slope = 7
Y-Intercept = 4
Line: y = 7x + 4
Correct Answer: A
Hope this helps!
Answer: 130 ft^2
Step-by-step explanation:
Area= 2(wl+hl+hw)
Area= 2(5•10+1•10+1•5)
Area= 2(50+10+5)
Area= 2(65)
Area= 130
To write the given quadratic equation to its vertex form, we first form a perfect square.
x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4
Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>