MATHEMATICS HIGH SCHOOL

A skier has decided that on each trip down a slope, she will do 2 more jumps than before. On her first trip she did 6 jumps. Derive the sigma notation that shows how many total jumps she attempts from her fourth trip down the hill through her twelfth trip. Then solve for how many total jumps she attempts from her fourth trip down the hill through her twelfth trip.I tried to answer, but I don't really know how to even set it up... :/

Answers

Answer 1
Answer:

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:

\Sigma_(n=4)^(12) 6+2(n-1)

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 2
Answer: I'll just manually compute this one. Every attempt she will add 2 more jumps.

Attempt           Jumps       Accumulated Jumps
1                          6                         6
2                          8                       14
3                         10                      24
4                         12                      36
5                         14                      50
6                         16                      66 
7                         18                      84
8                         20                    104
9                         22                    126
10                       24                    150
11                       26                    176
12                       28                    204

Total jumps from 4th trip through 12th trip: 204 - 24 = 180 jumps

Related Questions

The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is(x - 4)² + (y - 3)² = 25(x - 2)² + (y - 4)² = 25(x - 2)² + (y - 4)² = 100
C = 0.765x + 0.06(0.765x)
Can you slove this 6=2(y+2)
An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?
Please help. I’ll mark you brainliest. But no link andwers

The median is the same thing as?Quartile 1
Quartile 2
Quartile 3
None of the above
Other:

Answers

Answer:

The median is NOT the same thing as a quartile.

The median is a measure of center.

Expand and simplify (2+3i)(4-I)

Answers

(2+3i)(4-i)=\n8-2i+12i+3=\n11+10i
(2 + 3i)(4 - i)
8 - 2i + 12i - 3i²
8 + 10i - 3(-1)
8 + 10i + 3
8 + 3 + 10i
11 + 10i

Mary Stevens earns $6 an hour at her job and is entitled to time-and-a-half for overtime,and double time on holidays. last week she worked 40 hours of regular time, 6/12 hours of overtime and 8 hours of holiday time. how much did she say earn

Answers

You can make an equation with the information given: Earnings = 6 * r + (1.5*6)o + (6*2) h = 6r + 9o + 12h. Where r is the number of regular hours worked, o is the number of overtime hours and h is the number of holiday hours. Now r = 40, o = 6.5, and h = 8. So, Earnings = 6(40) + 9(6.5) + 12(8) = 39405. Answer: $394.5

Need help in solving this problem. Section is under limits at infinity, horizontal asymptotes...(a) A tank contains 5000L of pure water. Brine that contains 30g of salt per liter of water is pumped into the tank at a rate of 25L/min. Show that the concentration of salt after t minutes (in grams per liter) is
C(t)+ 30t/200+t
(b) what happens to the concentration as t--> infinity?

Answers

 (a) you can show the concentration by: 

amount of salt / amount of water 


amount of salt 

= 30g / L 

= [ 30 * 25g ] / [ 25L ] , 25L = 1 min 

= [ 30 * 25g ] / min 


amount of water 

= 5000 + 25t 


[ 30 * 25t ] / [ 5000 + 25t ] 

= [ 30 * 25t ] / 25*[ 200 + t ] 

= 30t / [ 200 + t ] yeah 


(b) 


lim t->∞ [ 30t / ( 200 + t ) ] 

= lim t->∞ [ ( (1 / t) * 30t ) / ( (1 / t) * ( 200 + t ) ) ] 

= lim t->∞ [ 30 / ( (200 / t) + 1 ) ] 

= 30 / ( (200 / ∞) + 1 ) 

= 30 / 1 

= 30


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Aleta deposited $450 into a savings account earning 3.75% simplest interest . How much interest will she ear in six years ? how can i solve this ?

Answers

hope u can understand.

Answer:

Step-by-step explanation: you can solve it by multiplying 450 by 3.75 percent and then times that by six if the interest is not yearly you must specify

What is 85 percent of a 28 year prison sentence?

Answers

Answer:

23.8 years

Step-by-step explanation:

85% can be written as 0.85

0.85 * 28 = 23.8 years
Other Questions
Situation: a 25 gram sample of a substance that’s used for drug research has a K-value of 0.1205N0(zero)= initial mass(at time t=0) N= mass at time t K= a positive constant that depends on the substance itself and on the units used to measure time t= time, in days Find the substances half-life, in days. Round your answer to the nearest tenths????
The number of stops a bus makes on a certain day is represented by the variable s. Which set of numbers best describes the value of the variable?whole numbersnatural numbersintegersirrational numbers
Simplify the expression. 7(3x + 5y) + 4y
Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of (f − g)(−4)? ...?