Answer:
18 2/3
Step-by-step explanation:
<h3>
Answer: $623</h3>
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Explanation:
40 hours * $14 per hour = 560 dollars so far
43-40 = 3 overtime hours
His overtime pay is 1.5 times his regular wage, so it is 1.5*14 = 21 dollars an hour for those extra 3 hours. He earns an extra 3*21 = 63 dollars.
The total he earned was 560+63 = 623 dollars
This amount is before taxes or any other deductions.
Answer:
Vz = arccos(0.1673413807) = 80.37º
Step-by-step explanation:
The inverse function of the cosine is the arc cosine.
That means, that if we have that cos a = 1, a is the angle which has cosine equals 1, so a = arccos(1) = 0º.
In this problem, we have that:
cos(Vz) = 0.1673413807
Vz = arccos(0.1673413807) = 80.37º
1. This is a very easy question as you can just plug in 2 x-values and get the y-value, run a line through it, and you are done.
For example,
x = 2t
x = 2(2) = 4
x = 2(3) = 6
Now, you know there are points at (2, 4) and (3, 6).
2. This one is a little tricky, but all it's saying is that it has a specified domain. The parametric equation only works for values -2 ≤ t ≤ 3. So, you can do the exact same thing, except your line will only exist for points through the x-values -2 and 3. Let's plug in numbers:
y = t + 5
y = -2 + 5 = 3
y = 1 + 5 = 6
Now you know that this line runs through (-2, 3) and (1, 6). Remember, your line starts at -2 and ends at 3. It can't go any further than that.
