Answer:
4/3
Step-by-step explanation:
A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.
So the slope is 4/3 and must be the value between any two points on the line.
This means the function moves from (0,0) to (1, 4/3).
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
C, because 6 can go into 3 twice and 2 because 4 go into 2
Answer:
$1.79 per gallon, I believe.
Step-by-step explanation:
Step-by-step explanation:
sin²α − sin⁴α
Factor out sin²α.
sin²α (1 − sin²α)
Use Pythagorean theorem.
(1 − cos²α) cos²α
Distribute.
cos²α − cos⁴α
