Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. x - y + z - w = 10 -2x + 3y + 5w = -28x + 2y + 8z + 3w = -10 x - 4y - 6z - 5w = 30
A. {(3w - 2, -8w + 3, 4w + 9, w)}
B. {(24, 10, -6, -2)}
C. {(-17w - 10, -13w - 16, 5w + 4, w)}
D. ?
Answer: C
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Use a proportion to solve the problem.On Hector's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If his rear wheel turns 392 times per mile, how many times does he turn the pedal in one mile?
A. 224 times B. 686 times C. 396 times D. 399 times
Write the solution set in interval notation.t is smaller than 1 but not smaller than -3
A. (-3, 1) B. (-3, 1] C. [-3, 1) D. [-3, 1]
Use a compass to sketch a quarter of a circle of radius 10 centimeters. Using a protractor,
construct an angle of in standard position (see figure). Drop a perpendicular line from the point of intersection of the terminal side of the angle and the arc of the circle. By actual measurement, calculate the coordinates
of the point of intersection and use these measurements to approximate the six trigonometric functions of a
angle. (Round your answer to two decimal places.)
?
?
A. sin10° ? 0.98, cos10° ? 0.17, tan10° ? 5.76,csc10° ? 0.18, sec10° ? 1.02, cot10° ? 5.67
B. sin10° ? 5.67, cos10° ? 1.02, tan10° ? 5.76,csc10° ? 0.18, sec10° ? 0.98, cot10° ? 5.67?
C. sin10° ? 0.17, cos10° ? 0.98, tan10° ? 0.18,csc10° ? 5.76, sec10° ? 1.02, cot10° ? 5.67?
D. sin10° ? 0.18, cos10° ? 0.98, tan10° ? 0.17,csc10° ? 10, sec10° ? 0.98, cot10° ? 5.76?
E. sin10° ? 0.17, cos10° ? 0.98, tan10° ? 0.18,csc10° ? 5.76, sec10° ? 5.67, cot10° ? 1.02
Determine whether the given matrix is stochastic.