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 the number of total jumps from her second to tenth trips.

Answers

Answer 1
Answer: i=2i=10(4+2n)= You can do it by hand, w/o much work . plug in n=2 into (4+2n) then plug in n=3 into (4+2n) then plug in n=4 into (4+2n) etc until you get to n=10. Add them all up.
add 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24
144 jumps!

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What is he reciprocal of 3

Answers

1/3 because reciprocal is the opposite
THE RECIPROCAL IS 1/3..............

1.What basic trigonometric identity would you use to verify that cot x sin x = cos x? . . a. cos^2x+sin^2x=1.
b. cot x= cosx/sinx.
c. cos x= 1/sec x.
d. sin x= 1/csc x. .
2.What basic trigonometric identity would you use to verify that sin^2x+cos^2x/cosx= sec x?.
a. sin x=1/csc x.
b. 1+cot^2x=csc^2x.
c. cos^2x+sin^2x=1.
d. cos x= 1/sec x

Answers

1 ) cot x * sin x = cos x
(cos x / sin x) * sin x = cos x 
cos x = cos x
Answer: B ) cot x = cos x / sin x
2 ) ( sin² x + cos² x ) / cos x = sec x
1/cos x = sec x
sec x = sec x
Answer: C ) cos² x + sin² x = 1

Answer:

C

Step-by-step explanation:

lily is making granola she uses almonds walnuts and pecans in tge ratio 4:3:8 lily uses 40ounces of pecans

Answers

Well. im not 100% sure if this is correct. but what i did was did 5 x 8. which equals 40. so then i did 5 x 3. which equals 15. then i did 5 x 4. which equals 20. hopefully im correct. hope this helped! :)

A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in 0ne year?

Answers

2.5% of 5000 is 125. So in the first year you'll earn $125.

Final answer:

The interest earned on a $5000 deposit with a simple interest rate of 2.5% for one year is $125.

Explanation:

To calculate the interest earned on a savings account, you can use the formula: Interest = Principal × Interest Rate × Time. In this case, the principal (amount deposited) is $5000, the interest rate is 2.5% (or 0.025 as a decimal), and the time is 1 year. Plugging in these values, we get:

Interest = $5000 × 0.025 × 1 = $125.

Therefore, you will earn $125 in interest on your $5000 deposit after one year.

Learn more about Calculating Interest here:

brainly.com/question/33719909

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A 84-ft tree casts a shadow that is 47 ft long. What is the angle of elevation of the sun?

Answers

The angle of elevation of the sun is 60.8°.

What is angle of elevation?

This is the angle between the horizontal line of sight and the object.

To calculate the angle of elevation of the sun, we apply the formula below.

Formula:

  • tan∅ = Heigth of the tree(H)/Length of the shadow(L)
  • tan∅ = H/L............. Equation 1

Where

  • ∅ = angle of elevation of the sun

From the question,

Given:

  • tan∅ = 84/47
  • tan∅ = 1.7872
  • ∅ = tan⁻¹(1.7872)
  • ∅ = 60.8°

Hence, The angle of elevation of the sun is 60.8°.

Learn more about angle of elevation here: brainly.com/question/88158

Tan(theta)=84/47
Theta=60.8°

The box plots below show the lifespan, in months, of laptop batteries manufactured by two companies:Based on the data, which company's batteries have the smallest median lifespan?

Company A
Company B
Company C
Company D

Answers

Company:     minimum    Q1        Median      Q3     maximum
A                      19           19.5        23            23.5       24
B                       21           22          24            25          26
C                       20           21          22            24          28
D                       19           20          22.5         23.5       27

The company that has the smallest median life span is Company C. Its battery only has a lifespan of 22 months.

Company C is the correct answer!