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
Answer:
I don’t know much about the second part but the number 3 is being multiplied by is 7. 3x7=21, and than you add 5 giving you 26. Ohhhh now I see the equation is 3 times x+5=26.
Step-by-step explanation:
Hope this helps.
<u>Answer</u>:
[ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]
option c). is correct.
<u>Step-by-step explanation</u>:
( x + 1 ) / ( x + 2 ) + ( x - 1 ) / ( x - 3 )
= > [ ( x + 1 ) ( x - 3 ) + ( x - 1 ) ( x + 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]
= > [ ( x^2 - 3 x + x - 3 + x^2 + 2 x - x - 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]
= > [ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]
Hence we get required answer!
Answer:
whichever one also says -x
Step-by-step explanation:
parallel lines have the same slope
Answer:
4
Step-by-step explanation:
First, rewrite the equation with -5 substituted for A: (-5)^2 +5(-5) +4
Next, simplify that equation: 25 -25 +4
Simplify this further: 4
When A=-5, the solution is 4.
