a)3n+4
b)4n-5
Answer:
i know a good trick on how to do this.
Step-by-step explanation:
The number 4 is apart of the sequence, but it has been taken away by 3.
3+4=7. Since it was taken away by 3, we have to add 7 by 3 to get 9. So on and so forth.
The correct answers 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
———
2i
please show work!!
Answer:
5%
Step-by-step explanation:
1. We assume, that the number 48 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 48, so we can write it down as 100%=48.
4. We know, that x% equals 2.4 of the output value, so we can write it down as x%=2.4.
5. Now we have two simple equations:
1) 100%=48
2) x%=2.4
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=48/2.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 2.4 is what percent of 48
100%/x%=48/2.4
(100/x)*x=(48/2.4)*x - we multiply both sides of the equation by x
100=20*x - we divide both sides of the equation by (20) to get x
100/20=x
5=x
x=5
now we have:
2.4 is 5% of 48
a. 30,000,000 + 1,000,000 + 600,000 + 60,000 + 5,000 + 700 + 7
b. 30,000,000 + 1,000,000 + 60,000 + 600 + 500 + 70 + 7
c. 30,000,000 + 1,000,000 + 600,000 + 6,000 + 500 + 7 + 7
d. 30,000,000 + 1,000,000 + 600,000 + 6,000 + 500 + 70 + 7