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iragen [17]
2 years ago
6

The answer is 16, I am just not sure how to arrive at that answer.

Mathematics
1 answer:
Serjik [45]2 years ago
7 0

Step-by-step explanation:

∑ (4ⁿ⁺¹ / 5ⁿ)

Rewrite 4ⁿ⁺¹ as 4 (4ⁿ).

∑ 4 (4ⁿ / 5ⁿ)

∑ 4 (4/5)ⁿ

This is a geometric series.  The sum of an infinite geometric series is:

S = a / (1 −r)

where a is the first term and r is the common ratio.

Here, the first term is 16/5 (because n starts at 1), and the common ratio is 4/5.

S = 16/5 / (1−4/5)

S = 16/5 / (1/5)

S = 16

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What is the measure of an angle if it is 260 degrees less than six times its own complement?
poizon [28]

Answer:

40 degrees

Step-by-step explanation:

Complementary angles have a sum of 90.

y = 90 - x

The angle is 260 degrees less than six times its complement.

y = 6x - 260

90 - x = 6x - 260

350 - x = 6x

350 = 7x

50 = x

This is the measure of the complement.

y = 90 - x

y = 90 - 50

y = 40

This is the measure of the first angle.

7 0
3 years ago
Matt uses a compass and straightedge to construct parallel lines. Annie uses technology. In your own words describe how Matts co
ra1l [238]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Matt's steps will be more complicated since Annie is using a program to do the constructions hers would probably be precise and easy. 
5 0
2 years ago
Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error? Round your
Mariana [72]
98 - 62 = 36

36/98 x 100 = 36.7%

answer:

Tim was 36.7% error
5 0
3 years ago
Read 2 more answers
Anybody wanna explain this to me?
Vinvika [58]
Sure

Original Equation:
[-5x-16=9x+x-1]

Solve:
[-5x-16=10x-1]

Add (16) to both sides of the equation:
[-5x=10x+15]

Subtract (10x) from both sides:
[-15x=15]

Divide (-15) from both sides:
x=-1

4 0
3 years ago
The weights of Sarus crane chicks and hooded crane chicks H (both in grams) during the 10 days following hatching can be modeled
Katarina [22]

Answer:

  • 35.875 grams

Step-by-step explanation:

Given

<u>Functions:</u>

  • S(t) = –0.122t³ + 3.49t² – 14.6t + 136
  • H(t) = –0.115t³ + 3.71t² – 20.6t + 124  

<u>Finding the difference between S(5) and H(5)</u>

  • S(5) - H(5) =
  • –0.122t³ + 3.49t² – 14.6t + 136  - (–0.115t³ + 3.71t² – 20.6t + 124) =
  • (-0.122 + 0.115)*5³ + (3.49 -3.7)*5² - (14.6 -20.6)*5 + 136 - 124 = 35.875

Answer is 35.875 grams

6 0
2 years ago
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