Answer:
1. D
2. A
Step-by-step explanation:
Q1. Kerry is simplifying
By the definition of negative powers,
Hence,
So, the first step in simplifying the expression is
Q2. Given the expression
First, use the definition of negative powers:
Thus,
Answer:
option d
Step-by-step explanation:
Answer:
<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>
Step-by-step explanation:
<u>Exponential Growing</u>
The population of bacteria grows at a rate expressed by the equation:
Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:
Now we find the time when the population is 5*256=1,280. The equation to solve is:
Dividing by 256:
Taking natural logarithms:
Applying the logarithm properties:
Solving for t:
It will take 26.34 minutes for the population to reach 5 times its initial value
Answer:
The least common denominator is 12.
Step-by-step explanation:
1/6 and 5/12.
Skip count by 6and 12.
6: 6,12,18,24,30.....
12: 12,24, 36,48...
12, appeared first, so 12 is the least common denominator.
hope it helps.
<span>X/9=-5
First: To get your x alone, and to get rid of your fraction you would multiply each side by 9.
You would get: x=-45 <That would be your answer
HOPE THIS HELPS! ^_^</span>