Step-by-step explanation:
for part a
initial means starting point and starting point is always 0
so the question means number of thousands of bacteria in 0 hours, your n being the number of hours. so in part a u will simply just put 0 as n in equation
2^(0+3)
2³=8 thousands of bacteria
in part b
2^(n+3) means total number of bacteria
2^(n-1) is number of groups
its asking for number of bacteria in each group
so u will simply divide number of bacteria by groups
its like u have 30 candies and there are 5 groups and they ask u to find number of candies in each group so u simply divide 30 by 5
so 2^(n+3)/2^(n-1)
base is same so powers will subtract since there is division sign
2^(n+3-(n-1))
2^(n+3-n+1)
2^(3+1)
2^4= 16 thousands of bacteria in each group
Part a. is correct. It is 150.
Part b.
First plan: $30 + $0.20 per text
For 50 texts
$30 + 0.20 * 50 = $30 + $10 = $40
For 50 texts, the first plan costs $40
For 50 texts per month, the first plan is better because it costs only $40 instead of $60
Second plan: $60 no matter how many texts
3/7 - I got there by dividing the numerator and denominator each by 5
QUESTION A
The given multiplication problem is

Factor each term to obtain;

Cancel out the common factors to obtain;

Simplify to get;

QUESTION B
The given multiplication problem is

This the same as

This simplifies to;

QUESTION C
The given problem is

This is the same as


This simplifies to

QUESTION D.
The given expression is

Factor the 54 to obtain;

Cancel the common factors to get;

This simplifies to;

QUESTION E
The given problem is

Convert the mixed numbers to improper fraction to obtain;


Cancel the common factors to get;


QUESTION F
The multiplication problem is

Convert the mixed numbers to improper fractions to obtain;

Cancel out the common factors to get;

Simplify;

QUESTION G
The given problem is

Convert to improper fractions;

Cancel out the common factors to get;


Convert back to mixed numbers

QUESTION H
The given expression is

Convert to improper fraction to get;

Cancel common factors to get;

Simplify

Convert back to mixed numbers;

Answer:7
Step-by-step explanation:I smart beleve. Me