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MissTica
1 year ago
13

Brainliest* and show work and the answer to number 15

Mathematics
1 answer:
barxatty [35]1 year ago
4 0

Step-by-step explanation:

perimeter of semicircle=πr+2r

\frac{22}{7}  \times 1 + 2 \:  \:  \:  \:  \:  \:  \: (d = 2r)  \:  \\  \\ 5.14ft \:  \:  \:  \:  \:  \:  \:  \:

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Which sequence is modeled by the graph below?
mariarad [96]

Answer:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Step-by-step explanation:

From inspection of the graph, the given points are:

  • (2, 9)
  • (3, 3)
  • (4, 1)

If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.

<u>General form</u> of a geometric sequence:

 a_n=ar^{n-1}

where:

  • a is the first term
  • r is the common ratio
  • a_n is the nth term

Rewrite the given points as terms of the sequence:

  • (2, 9)  ⇒  a₂ = 9
  • (3, 3)  ⇒  a₃ = 3
  • (4, 1)  ⇒  a₄ = 1

To find the common ratio r, divide consecutive terms:

\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}

Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:

\implies a_2=9

\implies a\left(\dfrac{1}{3}\right)^{2-1}=9

\implies \dfrac{1}{3}a=9

\implies a=27

Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Learn more about geometric sequences here:

brainly.com/question/25398220

brainly.com/question/27783194

5 0
1 year ago
Read 2 more answers
Reggie lost 2 spaceships in level 3 of a video game. He lost 30 points for each spaceship. When he completed level 3, he earned
klemol [59]

Answer:

Increased by 290

Step-by-step explanation:

2(-30) = -60

-60 + 350 = 290

points increased by 290

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
2 years ago
Read 2 more answers
a school has 2 computer labs.Each lab has 30 computers. A total of 6 computers in the school are not working. which experission
jasenka [17]

Answer:

30(2)-6

Step-by-step explanation:

30 computers in 2 labs minus the 6 broken computers.

3 0
3 years ago
Read 2 more answers
Reyna puts 1/4 pound
gogolik [260]
1/4 pound x 5 days= 1 1/4 pounds (1.25)
4 0
2 years ago
Help me with this please !!
avanturin [10]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = - x

a point (x, y ) → (- y, - x ), thus

T(- 1, 3 ) → T'(- 3, 1 )

U(- 1, 10 ) → U'(- 10, 1 )

V(- 2, 4 ) → V'(- 4, 2 )

6 0
3 years ago
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