Answer: CONFOUNDING VARIABLES
Step-by-step explanation: Confounding variables are
unexpected external factor that affects both variables of interest, confounding variables usually gives the false impression that changes in one variable leads to changes in the other variable, when, in Actual, it is the external factor that caused the change being investigated. Confounding variables usually leads to wrong conclusions during research and experiments and are capable of causing biased outcomes when the real cause and effect relationship is not determined.
Answer:
The maximum revenue is $900, obtained with 30 people
Step-by-step explanation:
Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.
f(x) = x*(40-(x-20)) = -x²+60x
Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).
f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.
The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30
for x = 30, f(x) = 30*(40-(30-20))=30*30=900
So the maximum revenue is $900.
Answer:15
Step-by-step explanation:
Given
Craftsman sell 10 Jewelry set for $500 each
For each additional set he will decrease the price by $ 25
Suppose he sells n set over 10 set
Earning
Earning 
differentiate to get the maximum value
Equate 
to get maximum value
Thus must sell 5 extra set to maximize its earnings.
Answer:
Step-by-step explanation:
1) To find the cube root of a number prime factorize
46656 = 2*2*2*2*2*2 * 3 * 3 * 3 * 3 * 3 * 3
![\sqrt[3]{46656}=\sqrt[3]{2*2*2*2*2*2*3*3*3*3*3*3} =2*2*3*3 = 36](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B46656%7D%3D%5Csqrt%5B3%5D%7B2%2A2%2A2%2A2%2A2%2A2%2A3%2A3%2A3%2A3%2A3%2A3%7D%20%20%3D2%2A2%2A3%2A3%20%3D%2036)
Length of each side = 36 m
Q) i) -512 = (-8) * (-8)*(-8)
-512 is a cube number
v) -17576 = (-26) * (-26)*(-26)
-17576 is cube number
