Kia stuffs 3.8 envelopes per minute.
Answer:
F(x) = 45*x - (5/2)*x^2 + C
Step-by-step explanation:
Here we want to find the antiderivative of the function:
f(x) = 45 - 5*x
Remember the general rule that, for a given function:
g(x) = a*x^n
the antiderivative is:
G(x) = (a/(n + 1))*a*x^(n + 1) + C
where C is a constant.
Then for the case of f(x) we have:
F(x) = (45/1)*x^1 - (5/2)*x^2 + C
F(x) = 45*x - (5/2)*x^2 + C
Now if we derivate this, we get:
dF(x)/dx = 1*45*x^0 - 2*(5/2)*x
dF(x)/dx = 45 - 5*x
Answer:
A. x = (ln(4))/4
Step-by-step explanation:
2000 = 500e⁴ˣ
(2000)/500 = (500e⁴ˣ)/500
4 = e⁴ˣ
ln(4) = ln(e⁴ˣ)
ln(4) = 4x
(ln(4))/4 = (4x)/4
(ln(4))/4 = x
x = (ln(4))/4
Let x = the number of penguins we are finding
x ÷ 100 × 30 = 15
x = 15 ÷ 30 × 100
x = 50
hope this helps and have a great day :)
Answer:
14.6 minutes
Step-by-step explanation:
Since there is a 1 ms increase per day and there are 365 days a year, the time increase per year is 1 ms/day × 365 days/year = 365 ms/year.
So, in 24 centuries, there are 24 × 1 century = 24 × 100 years = 2400 years (since 1 century = 100 years)
So, the total of the daily increase in time in 24 centuries is time increase per year × 24 centuries
= 365 ms/year × 2400 years
= 876000 ms
= 876 s
= 876 s/60s
= 14.6 minutes
