Answer:
1/4
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of sides.
(1/2)² = 1/4
Answer: 1/4
Answer:
The exponential model is 
.
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that 
and 
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of 
:
And by (2), we determine the value of 
:
The exponential model is .
Answer:
i) 66
ii) 536
Step-by-step explanation:
Check attachement(s) for solution.
- Attachment - 1: Solution (i)
- Attachment - 2: Solution (ii)
First, we must figure out how much weight the pig gained and then add that number to the pig’s initial weight.
To figure out how much weight the pig gained, we must find 30% of 120.
Because 30% = 0.3, 30% of 120 = 0.3 * 120 ( the word of indicates multiplication in mathematics).
0.3 * 120 = 36
Therefore, the pig gained 36 pounds.
To find the pig’s new weight, we must add 36 pounds to the pig’s original 120 pound weight.
36 + 120 = 156
Therefore, the new weight of Shane’s pig is 156 pounds.
Hope this helps!
Answer:
1296 ft^3.
Step-by-step explanation:
The ratio of the volumes = 1^3 : 6^3
= 1 : 216.
So volume of the larger figure = 6 * 216
= 1296 ft^3.
