Answer:
4.428 hours
Step-by-step explanation:
If the learning rate is 0.81, the slope of the learning curve is:

The time it takes to produce the n-th unit is:

If T1 = 8 hours, the time required to produce the seventh unit will be:

It will take roughly 4.428 hours.
Answer:
w = 21.4 ft
Step-by-step explanation:
Area of Trapezoid = Area = (a+b)/2 * h
Where a and b are the bases of trapezoid, and h is the height.
In the figure we are given:
a= 32.3 ft
b=w=?
h= 22.9 ft
Area = 614.865 ft²
Putting values in formula
Area = (a+b)/2 * h
614.865 = (32.3 + w) / 2 * 22.9
1229.73 = 32.3 + w * 22.9
1229.73 / 22.9 = 32.3 +w
53.7 -32.3 = w
=> w = 21.4 ft
Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):

Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2