Solve the problem.Find the equation of the plane parallel to the plane with equation -x + 3y + z = 0 and containing the point P = (-7, 5, 4).

A. -x + 3y + z + 26 = 0
B. -7x + 5y + 4z = 0
C. -x + 3y + z - 26 = 0
D. x - 3y - z = 0


Answer: C

Mathematics

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Which of the following is true? ?

A. ?The surface area of a sphere is 8 times the area of a circular cross-section, taken at the center of the sphere. B. ?The surface area of a sphere is twice the area of a circular cross-section, taken at the center of the sphere. C. ?The surface area of a sphere is four times the area of a circular cross-section of the sphere. D. ?The surface area of a sphere is four times the area of a circular cross-section of the sphere, taken at the center of the sphere. E. ?The surface area of a sphere is 8 times the area of a circular cross-section of the sphere.

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What term of the arithmetic sequence is the given number?3.44, 3.84, 4.24, . . . ;14.64

A. 26 B. 28 C. 30 D. 29

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Find the product  in standard form. ? ?

A. ?
B. ?
C. ?
D. ?
E.

Mathematics

Solve the problem.The population of City A was about 679 thousand in 2007 and has decreased by about 6 thousand per year since then.(i) Complete the table below to help find an expression that stands for the population of City A (in thousands) at t years since 2007. Show the arithmetic to help you see a pattern.(ii) Evaluate the expression that you found in part (i) for  What does your result mean in this situation?

A. (i)

(ii) 696; The population of City A will be about 696 thousand in 2030.

B. (i)

(ii) 650; The population of City A will be about 650 thousand in 2030.

C. (i)

(ii) 541; The population of City A will be about 541 thousand in 2030.

D. (i)

(ii) 817; The population of City A will be about 817 thousand in 2030.

Mathematics