Answer:
y" = csc(x)[9cot²(x) - csc²(x)]
Step-by-step explanation:
Step 1: Define
y = 9csc(x)
Step 2: Find 1st derivative
y' = -9csc(x)cot(x)
Step 3: Find 2nd derivative
y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)
y" = 9csc(x)cot²(x) - csc³(x)
y" = csc(x)[9cot²(x) - csc²(x)]
Answer:
20%
Step-by-step explanation:
70-56=14 14/70=0.2 or 20%
Answer:
B)
Step-by-step explanation:
If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.
The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:
I = [1 0 ; 0 1]
(First line: 1 0, second line: 0 1)
So the correct option is B)
Answer:
each barrel has a capacity of 78,75 liters
Step-by-step explanation:
since the sold 8 barrels and assuming that each have the same capacity and are sold to the same price, the total amount he earned is
total earnings = number of barrels * number of liters/ barrel * earnings/liter
R$1,260,00 = 8 barrels * number of liters/ barrel * ( R$9,00- $7,00) /liter
number of liters/ barrel = R$1,260,00/(8 barrels*R$2,00 /liter ) = 78,75 liters/barrel
therefore each barrel has a capacity of 78,75 liters
