The table shows the number of fiber-optic cable connections to homes in the U.S. from 2000 to 2004 (
represents 2000).Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places.
Year t01234Connections c (Thousands)0102565150?
A. ?
B. ?
C. ?
D. ?
E. ?
Answer: A
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Express the vector in the form v = v1i + v2j + v3k.5u - 3v if u = 
and v = 
A. v = -4i + 5j - 3k B. v = 5i + 5j - 3k C. v = 14i + 5j - 3k D. v = -4i + 8j - 3k
Write the equation in its equivalent logarithmic form.9x = 729
A. logx 729 = 9 B. log729 9 = x C. log9 729 = x D. log729 x = 9
Solve the problem.The following is known about three numbers: If the second number is subtracted from the sum of the first number and 3 times the third number, the result is -14. The third number plus 2 times the first number is -3. The first number plus 3 times the second number plus the third number is 12. Find the three numbers.[Hint: let x represent the first number, y the second number, and z the third number. Use the given conditions to write and solve a system of equations.]
A. x = 0, y = 5, z = -3 B. x = -1, y = 5, z = -1 C. x = 1, y = 6, z = -3 D. x = 0, y = 4, z = 0
In a right triangle, find the length of the side not given. Approximate to three decimal places, if necessary. Keep in mind that a and b are the lengths of the legs and c is the length of the hypotenuse.b = 2
, c = 8
A. a = 8 B. a = 6 C. a = 7 D. a = 9