Answer:
Bacterial population at the time of 10 hours = 1040000
Step-by-step explanation:
Let the function that defines the bacterial population after 'x' hours is,
p(x) = a(b)ˣ
Where a = Initial population
And 'x' = Duration or time
Since bacterial population is getting doubled every hour,
2a = a(b)¹
b = 2
Therefore, function will be,
p(x) = a(2)ˣ
From the graph attached,
Point (5, 32500) lies on the graph of the function.
32500 = a(2)⁵
a = 
Therefore, the function will be,
p(x) = 1015.625(2)ˣ
For x = 10 hours,
p(10) = 1015.625(2)¹⁰
= 1040000 bacteria
Answer:
58
Step-by-step explanation:
58/3 gives a remainder of 1
58/4 gives a remainder of 2
58/5 gives a remainder of 3
We need to remember that:
xyz = (x)(y)(z)
if x, y and z are perfect cubes, then xyz would also be a perfect cube
Also,
(x^n)^m = x^(mn)
if it is a perfect cube, then it can be factored into the expression (x^n)^3, wherein n is a whole number.
All should be a perfect cube, given
215x^18(y^3)(z^21)
By writing the terms separately, we would see which one is to be changed.
215 = 5*43, we see this is not a perfect cube, we could changed it to 6^3 or 216
x^18=(x^6)^3
y^3=y^3
z^21=(z^7)^3
The other terms are perfect cubes except for the first one. So the correct answer would be the last option, 215 should be changed.
Honey we can’t answer the question if we don’t know the problem.
Answer:
1,-2
Step-by-step explanation:
You can also say the answer is C.
