Negative Slope<span>. </span>If<span> a line has a </span>positive slope<span> (i.e. m > 0 ), then y always increases when x increases and y always decreases when x decreases. Thus, the </span>graph<span> of the line starts at the bottom left and goes towards the top right. Thus, as x increases by 3 , y decreases by 4 , and as x decreases by 3 , y increases by 4 .
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The answer is 432.4 gallons divided by 4 from which the answer is 108.1...
Answer:
9 in
Step-by-step explanation:
Answer:
P(t) = 20.7e^0.0087816t
Step-by-step explanation:
Given that :
Initial population ; Jan 1, 2000 = 20.7 million
Current population ; Jan, 2010 = 22.6 million
A function of the form P(t)
Where t = time
Usingbthe exponential growth function :
P(t) = Poe^rt ;
P(t) = population at a time after the initial population figure
Po = initial population
r = growth rate
t = time in years
P(t) = population in 2010 = 22.6 million
Po = population in 2000 = 20.7 million
t = 10 years
22.6 = 20.7e^r * 10
22.6 = 20.7e^10r
22.6 / 20.7 = e^10r
1.0917874 = e^10r
Take the In of both sides
In(1.0917874) = 1n(e^10r)
0.0878162 = 10r
r = 0.0878162 / 10
r = 0.0087816
Hence,
P(t) = 20.7e^0.0087816t
Answer:
2
Step-by-step explanation:
y^m x y^n = y^m+n
so y^-4 x y⁶ = y^-4+6
-4+6=2
NOTE: ^ means to the power of
e.g: y^2 is y² :)
