The problem statement appears to be trying to tell you that 60 million barrels of crude were processed, resulting in 34% of that volume being turned into gasoline, which was then sold for a total of $408 million. You are asked for the revenue associated with 1 barrel of gasoline.
($408·10^6)/(60·10^6 bbl × 0.34) = $408/(20.4 bbl) = $20/bbl
The income from one barrel of gasoline is $20.00.
sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
You can use substitution or elimination or graphing to solve the equation. Since both of the equations are in slope intercept form it will be easier to use substitution or to graph it and find the point of interception.
Answer:
False
Step-by-step explanation:
Given that two linear regression models have the same number of explanatory variables
First model has coefficient of determination as 0.45 while other
0.65
we know that R^2 is the proportion showing the variation of dependent because of variation in independent variables.
Hence a higher R square is always better because it ensures more linearity and hence more accuracy in the regression equation.
Hence 0.65 model is better than 0.45 model.
The given statement is false.
The answer to 1/4x - 6 = 3/5 is x = 132/5, or if you want to simplify it to a mixed fraction, it'd be 26 2/5. Here are the steps:
1/4x - 6 = 3/5
+6 +6 Add 6 to each side to isolate the variable x.
1/4x = 6 3/5
(4)1/4x = 6 3/5(4) Multiply by 1/4's reciprocal (4), to isolate the variable x.
x = 33/5 (4)
x = 132/5
x = 26 2/5
