question help please 6 Business Finance Assignment Help

A satellite is orbiting the earth just above its surface. The centripetal force making the satellite follow a circular trajectory is just its weight, so its centripetal acceleration is about  9.81 m/s² (the acceleration due to gravity near the earth’s surface). If the earth’s radius is about 6380 km, how fast must the satellite be moving? How long will it take for the satellite to complete one trip around the earth? 

Question No. 1: Let R be the relation on the real numbers given by xRy iff |x-y|≤2. Prove that this relation is Reflexive, Symmetric but not transitive.

Question No. 2: Define a relation ~ on R by, x~y if x-y is rational. Prove that ~ is an equivalence relation.

Question No. 3: Define a relation P that is reflexive but not symmetric and not transitive

Leela stops to get some food at Fishy Joe’s and she sees that 40% of the salads have cheese topping on them, 20% have ranch on them, and 40% are plain. Of the salads with cheese topping, 45% have “froot” on them; of the salads with ranch, 15% have “froot” on them; and of the plain salads, only 10% have froot on them. Leela tells the clerk to choose a salad for her at random. Given that the salad does not have “froot”, what is the probability that it is a plain salad?

<span style='font-size:12.0pt;font-family:Arial;mso-fareast-font-family:"ＭＳ 明朝";
mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;mso-fareast-language:
EN-US;mso-bidi-language:AR-SA’>How is IBM helping cities to manage their
operations better? Are there other global companies doing this?

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