1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
60 seconds x 60 minutes = 3,600 seconds per hour
3,600 seconds per hour x 24 hours = 86,400 seconds per day.
The light flashes 5 times every 10 seconds:
5 flashes / 10 seconds = 1 flash every 2 seconds
86,400 seconds / 2 seconds = 43,200 flashes per day.
When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.
For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3
Answer:
The diner served 45 regular sodas
Step-by-step explanation:
90% of 50 is 45 so the answer is 45
So since you know that x^2-1 is equal to (x-1)(x+1),
you can figure that this factors to
(y^2-x^3)(y^2+x^3)
because you know how the difference of two squares formula, stated on the top line of this answer.
We are given the first term and the common ratio, this means they belong to a geometric series.
For the given series:

Each term of the geometric series is obtained by multiplying the previous term by common ratio.
So the next terms will be:
-4.5, -6.75, -10.125, -15.1875, -22.78125
The general formula for the G.P would be:

On plotting the series, the result will be like this: