The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
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Answer:
1/2
Step-by-step explanation:
-4 3 15 -14
--- *--- * --- *------
5 7 16 9
Rewriting
-4 3 5*3 -7*2
--- *--- * --- *------
5 7 4*4 3*3
Canceling like terms
-1 1 1*1 -1*2
--- *--- * --- *------
1 1 1*4 1*1
This leaves
2
---
4
1/2
Answer:
see below
Step-by-step explanation:
If x represents the number of dimes, then 2x will represent twice the number of dimes. This is the number of quarters, since there are twice as many quarters as dimes.
There are 6 more nickels than dimes, so the number of nickels is 6 more than x. It is (x+6).
If we use the monetary values in cents, then the total of all coins is ...
25(2x) +10(x) + 5(x+6) = 485 . . . . . . matches choice D
Answer:
37°
Step-by-step explanation:
As we know the sum of angles of a triangle is 180 degrees.
Therefore,
angle A + angle B + angle C = 180°
In the given picture two angles are given and we have to find out the third angle.
x° + 45° + 98° = 180°
x° + 143° = 180°
x° = 180° - 143°
x° = 37°
The value of x in the triangle shown is 37°.
Answer:
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