Answer:
a
Step-by-step explanation:
![\sqrt[4]{144a^{12}b^{3}} = \sqrt[4]{4^{2}*3^{2}a^{12}b^{3}}=\\= \sqrt[4]{2^{4}*3^{2}a^{12}b^{3}}=2a^{3}\sqrt[4]{3^{2}b^{3}} =\\}=2a^{3}\sqrt[4]{9b^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B144a%5E%7B12%7Db%5E%7B3%7D%7D%20%3D%20%5Csqrt%5B4%5D%7B4%5E%7B2%7D%2A3%5E%7B2%7Da%5E%7B12%7Db%5E%7B3%7D%7D%3D%5C%5C%3D%20%5Csqrt%5B4%5D%7B2%5E%7B4%7D%2A3%5E%7B2%7Da%5E%7B12%7Db%5E%7B3%7D%7D%3D2a%5E%7B3%7D%5Csqrt%5B4%5D%7B3%5E%7B2%7Db%5E%7B3%7D%7D%20%3D%5C%5C%7D%3D2a%5E%7B3%7D%5Csqrt%5B4%5D%7B9b%5E%7B3%7D%7D)
 
        
             
        
        
        
Deductive reasoning is one that necessarily follows, not one that likely follows (this would be an inductive reasoning). 
Here the important information is that all squares are also parallellograms, which means that they also necesarily have all the properties of the parallelogram - the correct answer is D. 
        
             
        
        
        
Answer:
5 apples
Step-by-step explanation:
First, we must find the cost of one apple
12/20 = the cost of one apple
= $0.60
Then, we divide 3 by the price of one apple
3/0.6 = amount of apple we can buy
= 5
 
        
             
        
        
        
Answer:
x  = ±5
Step-by-step explanation:
4x^2 = 100
Divide each side by 4
4/4x^2 = 100/4
x^2 = 25
Take the square root of each side 
sqrt(x^2) = ±sqrt(25)
x  = ±5
 
        
             
        
        
        
57 = 3 * 19 so he drank 97 * 3 = 291 calories (answer)