108 miles 3 hours = 36 mph upstream
108 miles 2 hours = 54 mph downstream
bv = boat velocity in still water
cv = current velocity
bv -cv = 36
bv +cv = 54 Adding both equations
2*bv = 90
boat velocity in still water = 45 mph
since bv + cv = 54
then we know the current velocity = 9 mph
Good evening ,
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Answer:
<h2>b)</h2><h2>i) 50 km/h</h2><h2>ii) 75 km/h</h2><h2>iii) 50 km/h</h2>
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Step-by-step explanation:
b)
i) (50-0)÷(10-9)
=50
ii) (150-75)÷(12-11)
=75
iii) (150-0)÷(12-9)
=50.
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:)
Answer:
The initial number of bacteria in the culture was 1949
Step-by-step explanation:
The relative growth rate for a certain type of bacteria population is 78% per hour.
As we know the growth of bacteria is exponential function.

where,
P is population of bacteria after n hours.
P₀ is initial population.
r is rate of growth per hour
n is number of hours
A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture.
P = 34820 , n = 5 , r = 0.78



Hence, The initial number of bacteria in the culture was 1949
Answer:
5(5x+2) (x-1)
Step-by-step explanation:
25x^2 -15x -10
factor out a 5
5(5x^2 -3x-2)
5(5x+2) (x-1)