Suppose there are n people in a group, each aware of a scandal no one else in the group knows about. these people communicate by telephone; when two people in the group talk, they share information about all scandals each knows about. for example, on the first call, two people share information, so by the end of the call, each of these people knows about two scandals. the gossip problem asks for g(n), the minimum number of telephone calls that are needed for all n people to learn about all the scandals. use mathematical induction to prove that g(n)< =2n-4 forn> =4.[hint: in the inductive step, have a new person call a particularperson at the start and at the end.]

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

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step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

savings account is an account only used for saving money. this acts as an emergency source of funding for an individual. answer a would result in the money in his account to grow as it specifically states that interest is compounded daily at the rate of 2%

step-by-step explanation: