Answer: 24
Step-by-step explanation:
Given : A metallurgist wants to study four different fluxes, two different base metals, and three different amounts of energy input.
i.e. 4 different choices for fluxes.
2 different choices for base metals.
3 different choices for amounts of energy input.
If each run of the experiment involves a choice of one flux, one base metal, and one amount of energy input.
Then , the number of runs are possible :-

Hence, there are 24 different runs are possible .
Answer:
Sometimes
Step-by-step explanation:
Three line sometimes intersect
Answer: A. y ≤ 4 and y > |x-1|
Step-by-step explanation:
y ≤ 4 is a horizontal line that is represented by a less than or equal to sign, so we know that the line has to be solid and not dotted, indicating that it includes the value of which the line passes through. Also, since it's less than, we know that it will include all values below the horizontal line.
y > |x-1| is an absolute value function that's represented by a greater than symbol, so that means it has to be dotted since it does not include |x-1|. Since it's greater than, it's going to include all values above the points of the function.
When graphing these two functions, you will get the graph as shown in the picture.
Hope this helps you
X = 45 is the answer
180-x = 3(90-x)
=> 180-x = 270 - 3x
=> -x+3x = 270-180
=> 2x = 90
=> x = 90/2
=> x = 45
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