Answer:
y = 8/p+q+4.
Step-by-step explanation:
Answer:
(a) 2min/15units
(b) 1min/20units
(c) The bottleneck stage is cutting. The process capacity is 450units/hour
(d) The capacity of the new employee should be 1unit/2sec. The process capacity will increase four times
Step-by-step explanation:
(a) Cycle time for stage cutting for 2 employees = 16sec/2units × 1min/60sec = 2min/15units
(b) Cycle time for stage sealing for 1 employee = 3sec/1unit × 1min/60sec = 1min/20units
(c) Process capacity of stage cutting = 15units/2min × 60min/1hour = 450units/hour
(d) If the capacity of the new employee is 1unit/2sec, the process capacity = 1unit/2sec × 3600sec/1hour = 1800units/hour. The process capacity increases 4 times (1800/450 = 4)
Answer:
The ball will reach a height of 5 ft by the 4th time.
Step-by-step explanation:
The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:
{40, 20, 10,...}
This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:
a_n = a*r^(n-1)
Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:
a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5
The ball will reach a height of 5 ft by the 4th time.
Hello from MrBillDoesMath!
Answer:
x = 31
Discussion:
angle A + angle C + angle B = 180 (180 degrees in a triangle)
angle A + 57 + 61 = 180 => (substitution)
angle A + 118 = 180 =>
angle A = 180 -118 = 62
By the congruence statement, angle A = angle D = 2x so
62 = 2x =>
x = 31
Thank you,
MrB
