Fill in the blank with one of the words or phrases listed below.
A(n)
of a system of two equations in two variables is an ordered pair of numbers that is a solution of both equations in the system.
A. dependent
B. solution
C. consistent
D. substitution
Answer: B
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Find the first four terms of the binomial series for the given function.(1 + 7x)1/2
A. 1 - x +
x2 -
x3
B. 1 + x -
x2 +
x3
C. 1 - x +
x2 -
x3
D. 1 + x -
x2 +
x3
Solve the problem.Find the center of mass of the rectangular solid of density defined by
,
,
.
A. =
,
= 1,
= 5
B. =
,
=
,
=
C. = 3,
=
,
=
D. = 6,
=
,
=
Solve.Approximately 9 × 103 employees of a certain company average $30,000 each year in salary. What is the total amount earned by all the employees of this company per year? Write your answer in scientific notation.
A. $27 × 108 B. $27 × 109 C. $2.7 × 108 D. $2.7 × 109
Solve the problem.The length of the diagonal of a rectangle is given by where L and W are the length and width of the rectangle. What is the length of the diagonal, D, of a rectangle that is 11 inches long and 3 inches wide? Round your answer to the nearest tenth of an inch, if necessary.
A. 10.6 in. B. 11.4 in. C. 5.7 in. D. 3.7 in.