Answer
It will take (t) = 24 hours to reach 300 .
Step by step explanation
It doubles every 15 hours. initial bacteria = 100
We need to find how long it take for the bacteria cells to increase to 300.
300 = 100(2)^t/15
300/100 = 2^t/15
3 = 2^t/5
Taking "ln" both sides, we get
ln(3) = t/15 ln(2)
t/15 = ln(3)/ln(2)
t/15 = 1.585
t = 1.585 * 15
t = 23.78 hours
t = 24 hours to nearest whole hours.
Thank you.
Answer:
Step-by-step explanation:
Given <u>v</u> = < - 5, 9 > then the magnitude is
| <u>v</u> | = 
= 
=
2x3 = 2
multiply 2 and 3
6x = 2
divide by 6 on both sides
x = 2/6
simplify
x = 1/3
Answer:
1/4 = (5n)/(n +95)
Step-by-step explanation:
If all the numbers referred to are the same number, we can use n to represent it. Then, "the ratio of a number and 4 times that number" is n/(4n) = 1/4. "The ratio of 5 times the number and 95 more than the number" is (5n)/(n+95)
The equation for the problem can be written ...
1/4 = (5n)/(95+n)
___
If you're a purist, you might leave the factors of "a number" in the first raio and write it ...
n/(4n) = (5n)/(95+n)
Solving this gets you to a quadratic form that has the extraneous solution n=0.
Answer:
22/5 is the slope I think
Step-by-step explanation:
22x-5y=-8
-22x
-5y=-8-22x
Divide by -5
Y= 8+22x/5
