The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons
b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
6000=300t^2
this can be simplified to
20=t^2
t^2-20=0
solving this we get:
t=-2√5 or 2√5
the time taken for the tank to be empty will be t=2√5 hours=5.4721 hours
Answer:
Step-by-step explanation:
to solve an equation by completing the square in a quadratic formula
f(x)=ax²+bx+c
example :x²-6x-16=0
first rearrange if necessary, move the constant to one side .
x²-6x=16
second you find a new term to complete the square which is (b/2)², and add the term to both sides.(6/2)²=3²=9
x²-6x+9=16+9
x²-6x+9=25
third factorize : find the common factor between 6 and 9 which is 3
x²-6x+9=25
(x-3)²=25
last solve for x: (x-3)²=25
x-3=√25
x=3±5
x=3+5=8 or 3-5=-2
Answer:
x - 5y
Step-by-step explanation:
Let's solve your question together,
6x - 8y - 5x + 3y
first arrange them according to their variable.
6x - 5x - 8y + 3y
Now, solve
x - 5y
Hope this helps :)
Answer:
a = 15
Step-by-step explanation:
Substitute b = 12 , a = 9 into the equation
12 = 
12 = 
← square both sides
144 = a² - 81 ( add 81 to both sides )
225 = a² ( take square root of both sides )
± 
= a , then
a = ± 15
a > 0 , so a = 15
Based from
the data within the given problem, the rate in dollars per year at which the
price is increasing is 150*ln(1.65)*1.65^t.
I am hoping that this answer has satisfied your query about this
specific question, thank you and have a nice day.
