Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they reque
2 answers:
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The first five terms of the sequence are 1, 4, 7, 10, 13.
Solution:
Given data:
General term of the arithmetic sequence.
, where d is the common difference.
d = 3
Put n = 2 in , we get
Put n = 3 in , we get
Put n = 4 in , we get
Put n = 5 in , we get
The first five terms of the sequence are 1, 4, 7, 10, 13.
Answer:
Step-by-step explanation:
If your directrix is a "y=" line, that means that the parabola opens either upwards or downwards (as opposed to the left or the right). Because it is in the character of a parabola to "hug" the focus, our parabola opens upwards. The vertex of a parabola sits exactly halfway between the directrix and the focus. Since our directrix is at y = -2 and the focus is at (1, 6) AND the parabola opens upward, the vertex is going to sit on the main transversal, which is also the "line" the focus sits on. The focus is on the line x = 1, so the vertex will also have that x coordinate. Halfway between the y points of the directrix and the focus, -2 and 6, respectively, is the y value of 2. So the vertex sits at (1, 2). The formula for this type of parabola is where h and k are the coordinates of the vertex and p is the DISTANCE that the focus is from the vertex. Our focus is 4 units from the vertex, so p = 4. Filling in our h, k, and p:
. Simplifying a bit gives us
. We can begin to isolate the y by dividing both sides by 16 to get
. Then we can add 2 to both sides to get the final equation
, choice 4 from above.
Person 1 takes 3 hour 10 minutes to complete 9 procedures
<em><u>Solution:</u></em>
From given question,
Person 2 takes 30 minutes per procedure
Person 1 writes internal operating procedures 3 times faster than Person 2
So we get, Person 1 takes 3 times faster than Person 2
Person 1 takes 10 minutes per procedure
But two of the procedures for Person 1 took an hour each
So person 1 takes 60 minutes each for two of procedures ( since 1 hour = 60 minutes )
<em><u>Calculate how long it took Person 1 to complete 9 procedures:</u></em>
So for first 7 procedures person 1 would take 10 minutes per procedure and for last two procedures person 1 would take 60 minutes per procedure
We know that,
1 hour = 60 minutes
Therefore,
190 minutes = 60 minutes + 60 minutes + 60 minutes + 10 minutes
190 minutes = 1 hour + 1 hour + 1 hour + 10 minutes = 3 hour 10 minutes
Therefore Person 1 takes 3 hour 10 minutes to complete 9 procedures