Answer:
The real and imaginary parts of the result are
and
, respectively.
Step-by-step explanation:
Let be
, the following expression is expanded by algebraic means:



If
, then:



Then, the variable is substituted in the equation and simplified:






The real and imaginary parts of the result are
and
, respectively.
Answer choice D. In order to find the r value, you need to find the degrees of freedom (df). df = n -2. In this case then the degrees of freedom is 9 (11 - 2). Now you use the df, the significance value (also known as p-value), and the critical value table (search it up if you don’t have one) to find that with a df of 9 and a probability value of 0.01, the r = 0.735.
The reason for why the answer is not “A” is due to the fact that we’re finding all of the possible r values, we are not a evaluating r to see whether or not it is significant.
Answer: John has 52 marbles in his collection
Step-by-step explanation:
Step 1
LET The number of marbles in John's collection can be represented by x. The and the number of marbles in Erica collection can be represented as =4x+ 10
The total number of marbles in both collections is 270 such that the expression to solve the equation will be
JOHN + ERICA = 270marbles
X + 4X+ 10= 270
Step 2--- solving
X + 4X+ 10= 270
5X+ 10= 270
5X= 270-10
5X= 260
X= 260/5
=52
John has 52 marbles in his collection
Erica has 4x + 10 = 4x 52 + 10=218 marbles
F ( x ) - the number of seats in the 1st row;
s ( x ) - the number of additional seats in the next row;
An equation that predicts the number of seats in any row:
g ( x ) = f ( x ) + s ( x )
g ( x ) = 12 + 3 ( x - 1 )
The number of seats in the 30th row:
g ( 30 ) = 12 + 3 * ( 30 - 1 ) = 12+ 3 * 29 = 12 + 87 = 99 seats