Answer:
Step-by-step explanation:
This is of the form
Where P(t) is the ending population, a is the original population, b is the growth rate, and t is time in years. We have everything we need to solve for t.
Let me explain the growth rate quickly. If the exponential function is a growth function, that means (in this particular situation) that we have 100% of the population and we are increasing it by 19%. That makes the growth rate 119%, which in decimal form is 1.19.
Begin by dividing both sides by 40000 to get
To get that t out of its current exponential position, take the natural log of both sides:
and the rules of logs say we can bring the exponent down out front:
ln(2) = t*ln(1.19)
Divide both sides by ln(1.19) to get t alone:
Doing that calculation on your calculator gives you that
t = 3.9846...
but rounding to the nearest tenth gives you that
t = 4.0 years
This is a 3-4-5 triangle.
Remember,
SOH-CAH-TOA
S(ine) = O(pposite)/H(ypotenuse)
C(osine) = A(djacent)/H(ypotenuse)
T(angent) = O(pposite)/A(djacent)
In Cosine, the adjacent = 3, and the Hypotenuse = 5
Hypotenuse is the longest side.
3,4,5 is the triangle that fits inside, therefore, the Opposite is 4, and Adjacent is 3
T(angent) = O(pposite)/A(djacent)
Plug in the numbers
T = 4/3
tan = 4/3 is your answer
hope this helps
Answer:
Its subtract 12.
Step-by-step explanation:
The first question mark is positive 6.
6-12= -6
The second question mark is -22.
Negative 10 minus 12 equals negative 22
Once you understand integers, it will be really easy. I was in 6th grade last year.
Answer: 4-12x
Step-by-step explanation:
1. Multiply the parenthesis by -6
2. Calculate and Reduce
3. Multiply
If it takes 1/5 hour to fill 60 gallons
than multiply the fraction by 5 to get a whole hour
and multiply the 60 gallons by 5 to get the amount of water created in that hour
60*5= 300 gallons of water in 1 hour
