The numbers 1, 2, 3, 4, 5, 6 are to be arranged. How many different arrangements are possible under the condition that all even numbers come first?

What will be an ideal response?


36

Mathematics

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Solve the problem.Snell's Law states that = ,where v1, v2are the speeds at which light travels through two different mediums, and ?1, ?2 are the angles of incidence and refraction respectively. Find the angle of refraction if  and the angle of incidence is 26°. Give your answer in degrees to the nearest hundredth.

A. 7.87° B. 44.54° C. 5.24° D. 15.90°

Mathematics

List the critical values of the related function. Then solve the inequality. +  ? 

A. -4, -3, 3; (-?, -4) ? (-3, 3) B. -4, -3, 0, 3; (-4, -3) ? [0, 3) C. No critical values; ? D. -4, -3, 0, 3; (-?, -4) ? (-3, 0] ? (3, ?)

Mathematics

Without using a calculator, determine the system of inequalities needed for the calculator-generated graph.

A. y ? 0 x2 + y2 ? 16 B. y ? 0 x2 + y2 ? 16 C. y ? 0 x2 + y2 ? 16 D. y ? 0 x2 + y2 ? 16

Mathematics

?Let  and . Find the limit.

?
 
?

A. ?100
B. ?-27
C. ?106
D. ?1,000
E. ?-8

Mathematics