A Science instrutor assigns his student one second of home work..the first week of school,two seconds. the second week four seconds, the third.if the student asked whether he would agree to this weekly homework doubling for the duration of the 36-week school year.how much homework in hours would this plan require in week 36? Please EXPLAIN.
Check the Related Questions below.
The Below Answers did not gives me enough clear view on how to solve this problem.You input would be a big help..Thanks!
WK - SEC
1 - 1
2 - 2
3 - 4
4 - 8
5 - 16
6 - 32
7 - 64
8 - 128
9 - 256
10 - 512
11 - 1024
12 - 2048
13 - 4096
14 - 8192
15 - 16384
16 - 32768
17 - 65536
18 - 131072
19 - 262144
20 - 524288
As you can see -- you'd spend 524,288 seconds on homework in week 20. That's over 8,738 minutes or 145.6 hours.
Continue doubling the seconds until you reach week 36.
I continued doubling the seconds untill i got to week 36..The week 36 shows me 3.435974e+10..I don't know if it was an error? Sorry, please more help.
It must be an error. Probably your calculator can't handle this many digits.
You can type your numbers into the Google search box. It can handle numbers with any number of digits.
http://www.google.com/#sclient=psy&hl=en&source=hp&q=524%2C288+*+2&aq=f&aqi=&aql=&oq=&pbx=1&bav=on.2,or.r_gc.r_pw.&fp=253a85f0f6bc4b61
Thank you Ms. Sue,
I'm greatful for your help here..week 36 finally came down to 34359738368..So how do i get the minutes or the hours answer, just like you did in week 20?? Please show me your work?
You're welcome.
Since there are 60 seconds in a minute, and 60 minutes in an hour, divide your number of seconds by 360 to find the number of hours.
One week, you earned $1350. Let x represent your total sales that week. Write an equation that could be used to find x.
To compute the amount of homework in hours for week 36, we need to understand the pattern of doubling homework each week.
We are given that in the first week, the student receives one second of homework. In the second week, it doubles to two seconds, and in the third week, it further doubles to four seconds. This doubling pattern continues for the remaining weeks of the school year.
To find the amount of homework in hours for week 36, we need to convert the given units (seconds) to hours. Since there are 60 seconds in a minute and 60 minutes in an hour, we can apply this conversion to get the homework in hours.
Let's break down the calculations step by step:
1. Calculate the total homework time for each week:
- Week 1: 1 second
- Week 2: 2 seconds
- Week 3: 4 seconds
- Week 4: 8 seconds
- Week 5: 16 seconds
- and so on...
2. Convert each week's homework time from seconds to minutes:
- Week 1: 1 second = 1/60 minutes
- Week 2: 2 seconds = 2/60 minutes
- Week 3: 4 seconds = 4/60 minutes
- Week 4: 8 seconds = 8/60 minutes
- Week 5: 16 seconds = 16/60 minutes
- and so on...
3. Convert each week's homework time from minutes to hours:
- Week 1: 1/60 minutes = 1/60/60 hours
- Week 2: 2/60 minutes = 2/60/60 hours
- Week 3: 4/60 minutes = 4/60/60 hours
- Week 4: 8/60 minutes = 8/60/60 hours
- Week 5: 16/60 minutes = 16/60/60 hours
- and so on...
4. Sum up all the values obtained in step 3 for the 36 weeks to get the total amount of homework in hours required for week 36.
So, by applying this doubling pattern and converting the units, we can find the total amount of homework in hours for week 36 of the school year.