Answer:
x = 1/3
Step-by-step explanation:
Both bases can be written as powers of 6.
36^x = (1/6)^(x-1) . . . . . . given
(6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6
6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents
2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base
3x = 1 . . . . . . . add x
x = 1/3 . . . . . divide by 3
Answer: $4.20
Divide 16.8 by 4 to get 4.2, or $4.20.
Answer:
Step-by-step explanation:
The slope represents how much y is predicted to change on average for each 1 unit in x.
y = appraised value of a house in East Meadow County
x = # of rooms
1 unit of x = 1 additional room
1 unit of y = $1,000
slope = 19.79
Answer: Each additional room in a house in East Meadow County is predicted to increase the appraised value by 19.79 x $1,000 = $19,790, on average.
Note: Since we only sampled homes in East Meadow County, our regression equation is only good to predict appraised values in that county. So, our interpretation must include that fact.
Answer:
0.125 times larger
Step-by-step explanation:
given the scale factor of 2 solids is k , then the volume factor = k³
here k = 0.5 , so
volume factor = (0.5)³ = 0.125
