We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
<h3>What is
apothem?</h3>
The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.
Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.
Using Pythagoras:
18² = a² + 9²
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
Find out more on apothem at: brainly.com/question/369332
Answer:
Step-by-step explanation:
x = 20
Answer:
X=16
Step-by-step explanation:
10x-8=9x+8
First you have to simplify.
10x-9x=1x
So now the equation looks like this
x-8=8
Now you have to get x by itself
-8+8=0 and we have to do the same thing on both sides of the equal sign 8+8=16
The equation now looks like this x=16
And that's your answer
Answer:
-3
Step-by-step explanation:
You cant count the spaces up (9) and over (-3) between the two points and do up/over so it would be 9/-3 and simplified that is -3/1 or 3
