Critical thinking. Make a conjecture about the relationship between three consecutive whole numbers based on this relationship illustrated by the numbers 7, 8, and 9: 7+9/2=8. Can you find a counterexample?

Answers

Answer 1

Answer: I need help with that too. :,-(

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What is the number in the following sequence 101,112,131,415,161

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The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.

101,112,131,415,161,718... Is basically formed using the 2 digit numbers 10,11,12,13,14,15,16,17,18...(placement of commas is different there) So the next two numbers will be formed using 19,20 & 21
Thus next three numbers are 718 & 192 & 021

It takes a motorboat 6 hours to travel 96 miles down a river, and 2 hours longer to make the return trip. Find the speed of the current.

Answers

Speed = distance / time
Down river------> 96/6 = 16 mph
up river<------ 96/(6+2) = 12 mph
difference of 4 mph or +- 2 mph
14 + 2 for down river or with the flow
14 - 2 for up river, against the flow
so the speed of the river is 2 mph
((16+12)/2)-12 = 2 or ((16+12)/2)-16 = -2 depending on which way you define to be positive -- Speed is scaler anyway so can only be positive
the speed of the boat in still water is 14 mph

An electric technician is paid $9.60 per hour. Based on 40 hours per week, what is this technicians annual salary?

Answers

Answer: $19968

Step-by-step explanation: Assuming the electric technician works 52 weeks a year with an average of of $40 of paid work, the electrician would make about $19,968 or close to $20,000 a year.

Final answer:

To calculate the technician's annual salary, multiply their hourly rate by the number of hours worked in a week and then multiply that by the number of weeks in a year. In this case, the technician is paid $9.60 per hour and works 40 hours per week.

Explanation:

To calculate the technician's annual salary, we need to multiply their hourly rate by the number of hours they work in a week and then multiply that by the number of weeks in a year.

In this case, the technician is paid $9.60 per hour and works 40 hours per week. So their weekly salary is $9.60 x 40 = $384. To find their annualsalary, we multiply the weekly salary by the number of weeks in a year, which is 52.

Therefore, the technician's annual salary is $384 x 52 = $19,968.