Answer:
y = -2x + 7
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 7 / 1 - 0
-2 / 1
= -2
y = -2x + b
5 = -2(1) + b
5 = -2 + b
7 = b
160 cm^2
2 by 5 by 10
2*10=20
20*2 sides=40 cm^2
2*5=10
10*2 sides=20 cm^2
5*10=50
50*2 sides=100 cm^2
40+20+100=160
Answer:
see below
Step-by-step explanation:
The equation for half life is
n = no e ^ (-kt)
Where no is the initial amount of a substance , k is the constant of decay and t is the time
no = 9.8
1/2 of that amount is 4.9 so n = 4.9 and t = 100 years
4.9 = 9.8 e^ (-k 100)
Divide each side by 9.8
1/2 = e ^ -100k
Take the natural log of each side
ln(1/2) = ln(e^(-100k))
ln(1/2) = -100k
Divide each side by -100
-ln(.5)/100 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/100 t)
Approximating ln(.5)/100 =-.006931472
n = 9.8 e^(-.006931472 t) when t is in years
Now changing to days
100 years = 100*365 days/year
36500 days
Substituting this in for t
4.9 = 9.8 e^ (-k 36500)
Take the natural log of each side
ln(1/2) = ln(e^(-36500k))
ln(1/2) = -36500k
Divide each side by -100
-ln(.5)/36500 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/36500 d)
Approximating ln(.5)/365=-.00001899
n = 9.8 e^(-.00001899 d) when d is in days
Answer:
Q1. C Q2. B. Q3. D. Q4. D Q5. A.
Step-by-step explanation:
Take 6.8 and divide by 2.72 and you get 2.5 hours
