So in 10 days the grasshopper (x) is doubled (2x)
20 days it is 2(2x) or 4x
30 days it is 2(4x) or 8x
in 35 days it is 1/2 of 10 so 1/2 times 2 times 8x=8x
it increased by a factor of 8
Answer: The response variable = Volume
and explanatory variable(s) in this study are: Height and Diameter.
Step-by-step explanation:
Important definitions:
- The explanatory variable is a type of independent variable manipulated by the experimenter for the ongoing experimental study.
- The response variable is a type of dependent variable which depends on the explanatory values provided by the experimenter.
Given: A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of tree using the height (in feet) and diameter (in inches) of the trees.
Here, Volume directly depends upon the height and diameter of the tree.
Also, forester ( Experimenter) wants to predict volume by cutting tree that means it is an response variable and it depends on height and diameter , so height and diameter are explanatory variable.
Hence, The response variable = Volume
and explanatory variable(s) in this study are: Height and Diameter.
We will define the following variables to solve the problem:
x = amount of round trips from 10 tons truck
y = amount of round trips from 12 tons truck
We write the system of equations:
x + y = 20
10x + 12y = 226
The solution to the system of equations is:
x = 7
y = 13
Answer:
10 tons truck makes 7 round trips
12 tons truck makes 13 round trips
Answer:
1/6
Step-by-step explanation:
203,140
Step-by-step explanation:
f(g(16))=f(16+9)=f(25)=8×25+3=203
g(f(16))=g(8×16+3)=g(131)=131+9=140
