Answer:
a^6*b^6
Step-by-step explanation:
I think that's correct, but I'm not sure
The plumber's 2 hour and 26 min plumbing bill cost is $73
What is the plumber's per minute rate?
The plumber's per minute rate is the per half-hour rate divided by 30 minutes since the plumber charges $15 for every 30-minute job
per-minute rate=$15/30
per-minute rate=$0.50
Now, let us convert 2hours and 26 minutes to minutes, in other words, every 1 hour is 60 minutes, the two hours equal 120 minutes plus the 26 minutes gives a total of 146 minutes
Total minutes=120 min+26 min
total minutes=146 minutes
Total plumbing bill cost for 146 minutes is $0.50, the per-minute rate multiplied by the number of minutes the plumber needs to work in this case
2 hour and 26 min plumbing bill cost=146*$0.50
2 hour and 26 min plumbing bill cost=$73
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Area under ALL probability distribution curves is 1.0, because all possible outcomes are taken into account.
notice, if the original area was πr², then the new area has a factor in front of it, that much.
Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
From this form,
you can determine the coordinates of the vertex to be (1, 3)
