Answer:
The inequality representing the time taken by the entire cycle is:

Step-by-step explanation:
The time taken to complete one cycle of a manufacturing machine is no longer than 3 minutes.
It is provided that the manufacturing machine has two processes.
One of them is repeated 4 times and the second only once.
Assume that the variable <em>x</em> represents the time taken to complete the first process once.
Then the time taken to complete the first process 4 times would be, 4<em>x</em>.
Also assume that the variable <em>y</em> represents the time taken to complete the second process.
Then the inequality representing the time taken by the entire cycle is:

Consider the graph below representing the above equation.
Answer: 1/2
Step-by-step explanation:
cosine=adjacent/hypotenuse
Cos (-60)=1/2
This is a special triangle
see below as the ratio of each side
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5k^3 - 3k + 7.-(-2k^3 + k^2 - 9)
7k^3 +k^2-3k +16
C. 7k^3 - k^2 - 3k + 16
Answer:
(2, 1)
Step-by-step explanation:
A line that passes through the origin and has a slope of 1/2 can be best represented as y = 1/2x
it starts at the origin
goes 2 units to the right
1 unit above
2 units to the right + 1 unit above = (2, 1)
Final Answer: (2, 1)