Answer:
128/512 or 1/4
Step-by-step explanation:
(2 x 2 x 2 x 2) x (2 x 2 x 2)= 16 x 8 = 128
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(2 x 2 x 2 x 2 x 2) x (2 x 2 x 2 x 2)= 32 x 16 = 512
Answer:
(a) 
(b) 
(c) 80% of the population will have heard the rumor in about 7.4 hrs.
Step-by-step explanation:
We know that a rumor spreads according to the equation
where 
is the proportion of the population that knows the rumor at time 
, and 
and 
are positive constants.
(a) To find 
you must:
Use this fact,
![\lim _{x\to a}\left[\frac{f\left(x\right)}{g\left(x\right)}\right]=\frac{\lim _{x\to a}f\left(x\right)}{\lim _{x\to a}g\left(x\right)},\:\quad \lim _{x\to a}g\left(x\right)\ne 0](https://tex.z-dn.net/?f=%5Clim%20_%7Bx%5Cto%20a%7D%5Cleft%5B%5Cfrac%7Bf%5Cleft%28x%5Cright%29%7D%7Bg%5Cleft%28x%5Cright%29%7D%5Cright%5D%3D%5Cfrac%7B%5Clim%20_%7Bx%5Cto%20a%7Df%5Cleft%28x%5Cright%29%7D%7B%5Clim%20_%7Bx%5Cto%20a%7Dg%5Cleft%28x%5Cright%29%7D%2C%5C%3A%5Cquad%20%5Clim%20_%7Bx%5Cto%20a%7Dg%5Cleft%28x%5Cright%29%5Cne%200)
Apply this identity, to find 
(b) To find the rate of speed of the rumor you must find the derivative 
(c) To find the time that will take for 80% of the population to hear the rumor, you must substitute a = 10, k = 0.5, and p(t) = 0.8 into and solve for t
Answer:
Nancy paid 2.98 per gallon of gasoline.
Step-by-step explanation:
The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:
ratio = total money / total gasoline
ratio = 10.43 / 3.5
ratio = 2.98 money / gallon
Nancy paid 2.98 per gallon of gasoline.
Answer:
Last option?
Step-by-step explanation:
ax+by=c
4x+6y=60
a=4
b=6
c=60
Answer:
(1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)
Step-by-step explanation:
Moving from P to Q, we see that x increases by 6 and y increases by 3.
"Trisect" means "divide into three equal subintervals."
We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).
Thus, the first junction (between 1st and 2nd trisection) is (-1 + 2, 5 + 1), or (1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)
