Answer:
db / dt = kb
this becomes b(t) = Ce^(kt)
C = 100, the initial population
P(1) = 420 = 100 e^(1k)
4.2 = e^k
ln 4.2 = k
a) thus, b(t) = 100 e^(t ln 4.2)
b) b(3) = 100 e^(3 ln 4.2)
c) growth constant will still be ln 4.2 (constant percentage of populatioin)
d) 10000 = 100 e^(t ln 4.2)
100 = e^(t ln 4.2)
ln 100 = t ln 4.2
t = ln 100 / ln 4.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
a)3*4*2*b = 24b
Multiply the numerals and then the variables.When multiply variables, add the exponents and only same variables can be multiplied
b) c⁵ *c = c⁵⁺¹ = c⁶
c) 2y⁴ *5y³ = 2*5 * y⁴⁺³ = 10y⁷
Answer: No
Explanation:
According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.
As x-1 is a factor
We equate x-1=0
x=1
Substituting in x^5-1, we have 1^5-1 =1-1=0.
Hence, it's a factor.
When coming to x^5+1, it would become 1^5+1=1+1=2
So x-1 isn't a factor of x^5+1.
Answer:
2/3
Step-by-step explanation:
The numbers greater then 2 are 3, 4, 5, 6
That's four numbers that are greater then two.
or 4/6, then you just reduce it by dividing by two on the top and bottom
4/2 =2
6/2 = 3 so the answer is 2/3
