From the calculation, the growth rate is 0.88.
<h3>What is the growth rate?</h3>
To find the relative growth rate
P1 = Poe^rt
P2 = Poe^rt
Thus;
1920 = Poe^4r ------ (1)
1966080 =Poe^12r -------(2)
P2/P1 gives;
1966080/1920 = Poe^12r/Poe^4r
1024 = e^12r/e^4r
1024 =e^8r
1024 = (e^r)^8
2^10 = (e^r)^8
e^r = 2^1.25
e^r = 2.38
r = ln(2.38)
r = 0.88
The initial size of the culture is;
1920 = Poe^(0.88 * 4)
Po = 1920/e^(0.88 * 4)
Po = 57
The expression for the exact number of bacteria after t hours is
P(t) = 57e^0.08t
The growth (in bacteria per hour) after 9.5 hours is
P(t) = 57e^(0.88 * 9.5)
P(t) = 243544
For the number to reach 72,000;
72,000 = 57e^0.88t
72,000/57 = e^0.88t
ln 126 = ln[e^0.88t]
4.8 = 0.88t
t = 4.8/0.88
t = 5.5 hours
Learn more about exponential growth;brainly.com/question/13674608
#SPJ1
Answer:
so basically
the area of the square; (5cm)^2 = 25cm^5
the area of the triangle; (4cm.5cm)/2 = 10cm^2
which means that r = √25cm^2/10cm^2 = √25/10 cm^2 or √10/25 cm^2
english is not my first language so i do not know what combined means but if u explain a little more i will try to help u
-> ok edit edit;
1cm/5in. = r
5cm => 25in.
z^2= area of a square so
25in.25in= 625 in^2
4cm => 20in.
5cm => 25in.
h.b/2 = area of a triangle so
20in.25in./2 = 250in.^2
250in.^2 + 625in.^2 = 875in.^2
so answer B
Answer:
remainder = 
Step-by-step explanation:
The remainder is the value of the subtraction of the last 2 lines in the procedure.
5x - 9
- (5x - 10)
That is
5x - 5x = 0 and - 9 - (- 10) = - 9 + 10 = 1
over the divisor x- 2 , gives
remainder =
