Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.
Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
Step-by-step explanation:
Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not
all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).
Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.
As shown in the Construction Y because E is the circumcentre of triangle LMN.
This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
QED!
Answer:
56 chewable tablets
280mL liquid Benadryl
Step-by-step explanation:
For the first part:
First we need to find out how many tablets of 12.5mg would we need per dose.
1 dose is 25 mg and the tablets are in 12.5 mg form.
That would mean you would need 2 tablets per dose.
Next you need to calculate how many times a day it needs to be taken. A day has 24 hours and it needs to be taken every 6 hours. Just divide 24 hours by 6 hours. So that would mean that it needs to be taken 4 times a day.
Next we need to see how many times a week it should be taken and you can get that by multiplying the number of times a day by the number of days a week.
4 x 7 = 28 times
Lastly, you multiply the number of times a week by the number of tablets per dose.
28 times a week x 2 tablets = 56 tablets.
For the second part:
12.5 mg/5mL
The needed dose is 25 mg so we need to find how many mL is needed for 25 mg. 12.5mg is only have of 25 mg we need to double it to attain the correct dosage.
x 
= 
This means that for every 25 mg, you will need to give 10mL.
Again we do the same procedure as the first to decide how much liquid Benadryl you need to give in a week. We know that based on the previous that we need to administer this 28 times a week, so just multiply the number of mL per dose by the number of times per week.
10mL x 28 = 280mL
<span>1, 4, 9, 16, and 25. Use the formula to get a2 = 1 + (2*2 - 1) = 4, a3 = 4 + (2*3 - 1) = 9, etc. Also notice that for all n, an = n2.</span>
