Answer:
the size of the bacterial population after 100 minutes is 20,158.7 bacteria
the size of the bacterial population after 10 hours is 2097152000 bacteria
Step-by-step explanation:
Given that
The bacteria contains 2000
It would be double at every half hour
We need to find out the size of the bacteria after 100 minutes & 10 hours
So,
The size of the bacteria after 100 minutes is
= 2000 × 2^(100 ÷ 30)
= 2000 × 10.079
= 20,158.7 bacteria
Now the size of the bacteria after 10 hours is
10 hours = 10 × 60 minutes = 600 minutes
= 2000 × 2^(600 ÷ 30)
= 2097152000 bacteria
Answer:
$72
Step-by-step explanation:
in a calculator type 20%x60 and it will say 12
so 12 is 20% of 60
then just add 60 and 12 together and it equals 72
Answer:
5.64
Step-by-step explanation:
To find the radius of a square, cut in half 4/2 = 2. Then square it 2x2 = 4. Then double it to get 8. Then find square root, 2.82. Then double again for full length of diagonal.
Answer:
g(x) = ¹/₁₆x²
Step-by-step explanation:
The parent function is ƒ(x) = x².
Then g(x) = (ax)² is either a compression or a stretch of the parent function .
0 < |a| < 1 is a stretch by a factor of 1/a.
Thus, if you want to stretch a parabola by a factor of 4
,
a = ¼
and the equation of the new function is
g(x) = (¼x)² or
g(x) = ¹/₁₆x²
The diagram below shows that
ƒ(x) = 1 when x = 1 but
g(x) = 1 when x =4
The parabola has been stretched by a factor of 4.
