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
Area of a rectangle = length x height
Area = 135
Height = X
Lenght = x +6
135 = x * x+6
Simplify:
135 = x^2 +6x
Subtract 135 from both sides:
x^2 + 6x - 135 = 0
Solve:
2 numbers when added need to equal 6 and when multiplied equal -135
x = 9 and x = -15
The height can't be a negative number so the height is 9
Length = 9 +6 = 15
Height = 9cm, Length = 15 cm
Answer:
33 & 11
Step-by-step explanation:
33+11=44
Answer:
x=square root 63. Basically the radical 63.
Step-by-step explanation:
So in the first triangle with the 3 in it. You have root 3 and use the a^2 +b^2=c^2 formula. So 3^2 + 3^2= x^2 and then when you solve you get radical 18^2 which is equal to radical 18 or square root 18. Then we go to the bigger triangle and we do the same formula but this time we have the c value which is 9. So we do radical 18^2 + x^2 = 9^2 and then solve that and minus 18 from the 81 since the radical goes off the 18 and you get square root63.
Sorry i couldn't use the signs. Sorry If I'm wrong Hope this helps!.
Answer:
3 1/4 gallons or 3.25 gallons
Step-by-step explanation:
