The <em>correct answers</em> are:
Explanation:
Since she is adding two more jumps every time she goes down hill, this is an arithmetic sequence. The general form of an arithmetic sequence is
Since we want the number of jumps on her 4th through 12th trips, we will set n in the summation from 4 to 12. n=4 goes at the bottom of Σ and 12 goes at the top, to represent the values we are interested in.
Beside this, we write our general form. The first term is 6 and d, the common difference, is 2. This gives us 6+2(n-1) beside the summation:
To evaluate this, we substitute the values 4, 5, 6, 7, 8, 9, 10, 11 and 12 in for n, adding all of the values together:
6+2(4-1)+6+2(5-1)+6+2(6-1)+6+2(7-1)+6+2(8-1)+6+2(9-1)+6+2(10-1)+6+2(11-1)+6+2(12-1)
=6+6+6+8+6+10+6+12+6+14+6+16+6+18+6+20+6+22
=180
Answer:
53
Step-by-step explanation:
35 plus 18
Answer:
a. The phone will be at 92% and the tablet will be at 88%
b. One hour and 15 minutes for both devices to finish charging.
Step-by-step explanation:
For Part A), we can find that Sam's phone battery is increasing by 12% every 10 minutes. By multiplying 12 by 3 (30 minutes) and adding it to the 56% from the first 30 minutes, we get the answer 92%. The tablet charges 12% per every 15 minutes, and one hour has four sets of 15 minutes. So 12 times 4 and then added to 40% gives us 88%.
For Part B), we must calculate how much time it takes before both devices are fully charged. Because it charges at a slower rate and will finish last, we must rely on the rate of the tablet for this question. At a rate of 12% per 15 minutes, Sam's devices would both be fully charged after an hour and 15 minutes. This is because an additional 15 minutes would give the tablet 12% more battery, and 88 + 12 = 100. If you also needed to know when the phone would finish charging by itself, you would find that the phone only needed 8% left to become 100%. The phone charges at 12% per 10 minutes, and 8 is 2/3 of 12. This would mean the phone would need roughly an additional 7 minutes to charge, making for a total of one hour and 7 minutes for the phone.
Hope this helps!
Answer:
9 girls
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Perimeter : total length of sides
Perimeter of the rectangle
= r + s + r + s
=2r + 2s
