Write a system of linear equations in three variables, and then use matrices to solve the system.The table below shows the number of birds for three selected years after an endangered species protection program was started.
Use the quadratic function y = ax2 + bx + c to model the data. Solve the system of linear equations involving a, b, and c using matrices. Find the equation that models the data.
A. y = 6x2 + 24x + 20
B. y = 7x2 - 12x + 28
C. y = 5x2 + 12x + 25
D. y = 10x2 - 36x + 21
Answer: C
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Solve the problem.A space shuttle is in a circular orbit 250 km above the Earth's surface. Use Kepler's third law( with ) to find the orbital period of the satellite.(G = 6.67 × 10-11 Nm2 kg-2,
and Earth's radius is
).
A. T = 1 hr B. T = 9 min C. T = 2 hr D. T = 90 min
Solve the problem.A diving pool that is 10 m deep and full of water has a viewing window on one of its vertical walls. Find the force on a square window, 2.5 m on a side, with the lower edge of the window 1 m from the bottom of the pool.
A. 940,187.5 N B. 232,750 N C. 474,687.5 N D. 707,437.5 N
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number.15 + 3
A. 15
B. 18
C. 19
D. 17
Use radical notation to rewrite the expression. Simplify, if possible.10,0001/4
A. 100
B.
C. 10
D. -