The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)
The appropriate choice is
(C) (11, 32/3)
_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)
All you have to do is divide the numerator and the denominator by 3 and you get your answer which is 1/6
A qualitative prediction is made by using senses and educated guesses, unlike quantitative observations which use scientific methods. For example, you take a rock and examine it. One qualitative observation of this rock is it is smooth and gray. A quantitative observation is it is two pounds.
Hope I helped :))
Answer:
24
Step-by-step explanation:
The cake measures 10 inches by 15 inches. If pieces are 2.5 inches long and wide (they are square and equal) then 6 pieces will be cut along the length.
15/ 2.5 = 6
And 4 pieces will be cut along the width.
10/ 2.5 = 4
All together when the entire cake is cut, there will be 4*6 = 24 squares 2.5 inch long pieces.
Given that the bacteria has been modeled by the function:
r(t)=(450.267)e^(1.12567t)
thus the number of bacteria after 3 hours will be:
r(3)=450.267e^(1.12567×3)
r(3)=13,185.20623
The number of bacteria after 3 hours will be:
13, 185.20623
