Answer:
3
Step-by-step explanation:
Answer:
4m(4m-3)
Step-by-step explanation:
Factor 4m out of the statement because 4 is a factor of both 16 and -12, and m is a factor in m^2 and m.
1) To calculate maximum of f(t) function we first need to find derivative of it:
f(t)' = 10(e^(-t/8) + t*e^(-t/8)*(-1/8)) = 10(e^(-t/8) -t/8*e^(-t/8)) = 10e^(-t/8)(1-t/8)
the condition is:
f(t)' = 0 that means:
0 = 10e^(-t/8)(1-t/8)
10t/8*e*(-t/8) = 10*e^(-t/8)
t/8 = 1
t = 8
The answer is 8 days.
2) that percent we will get simply by expressing t=8 in our equation.
f(8) = 10*8*e^(-1) = 80/e = 29.43%
Answer:
6^{4} · 4^{4} · b^{3}
Step-by-step explanation:
Collect identical number terms to get the exponent:
6.4⋅6.4⋅6.4⋅6.4⋅b⋅b⋅b
As you can see, there are four "6s", four "4s" and three "b"s
So we got the conclusion the answer is just 6^{4} · 4^{4} · b^{3}
