1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vesnalui [34]
3 years ago
12

Equation equivalent to r=1+2sin Ø

Mathematics
1 answer:
MArishka [77]3 years ago
3 0
<span>Equation equivalent to r=1+2sin Ø</span>

You might be interested in
The population of a city increases by 5% each year. If the current population of the city is 125000, how much population will th
patriot [66]

Answer:

Step-by-step explanation:

125,000×1.05⁷ ≈ 175,888

7 0
3 years ago
The temperature at 6:00 P.M. was 68°F. This was 5°F lower than the temperature at 3:00 P.M. The temperature at 1:00 P.M. on that
bixtya [17]
76 degrees Fahrenheit
6 0
2 years ago
Read 2 more answers
Hours worked versus salary.
taurus [48]

Answer:

whats the question

Step-by-step explanation:

8 0
3 years ago
Find the volume of the sphere.
nataly862011 [7]

Answer:

Volume of a sphere = 4πr³/3

r=10

V = 4πx10³/3

=4000π/3

V= 1333.33π (in terms of pi)

or

V= 4188.79(Nearest Hundredth).

7 0
3 years ago
Read 2 more answers
The first, third and thirteenth terms of an arithmetic sequence are the first 3 terms of a geometric sequence. If the first term
Salsk061 [2.6K]

Answer:

The first three terms of the geometry sequence would be 1, 5, and 25.

The sum of the first seven terms of the geometric sequence would be 127.

Step-by-step explanation:

<h3>1.</h3>

Let d denote the common difference of the arithmetic sequence.

Let a_1 denote the first term of the arithmetic sequence. The expression for the nth term of this sequence (where n\! is a positive whole number) would be (a_1 + (n - 1)\, d).

The question states that the first term of this arithmetic sequence is a_1 = 1. Hence:

  • The third term of this arithmetic sequence would be a_1 + (3 - 1)\, d = 1 + 2\, d.
  • The thirteenth term of would be a_1 + (13 - 1)\, d = 1 + 12\, d.

The common ratio of a geometric sequence is ratio between consecutive terms of that sequence. Let r denote the ratio of the geometric sequence in this question.

Ratio between the second term and the first term of the geometric sequence:

\displaystyle r = \frac{1 + 2\, d}{1} = 1 + 2\, d.

Ratio between the third term and the second term of the geometric sequence:

\displaystyle r = \frac{1 + 12\, d}{1 + 2\, d}.

Both (1 + 2\, d) and \left(\displaystyle \frac{1 + 12\, d}{1 + 2\, d}\right) are expressions for r, the common ratio of this geometric sequence. Hence, equate these two expressions and solve for d, the common difference of this arithmetic sequence.

\displaystyle 1 + 2\, d = \frac{1 + 12\, d}{1 + 2\, d}.

(1 + 2\, d)^{2} = 1 + 12\, d.

d = 2.

Hence, the first term, the third term, and the thirteenth term of the arithmetic sequence would be 1, (1 + (3 - 1) \times 2) = 5, and (1 + (13 - 1) \times 2) = 25, respectively.

These three terms (1, 5, and 25, respectively) would correspond to the first three terms of the geometric sequence. Hence, the common ratio of this geometric sequence would be r = 25 /5 = 5.

<h3>2.</h3>

Let a_1 and r denote the first term and the common ratio of a geometric sequence. The sum of the first n terms would be:

\displaystyle \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}.

For the geometric sequence in this question, a_1 = 1 and r = 25 / 5 = 5.

Hence, the sum of the first n = 7 terms of this geometric sequence would be:

\begin{aligned} & \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}\\ &= \frac{1 \times \left(1 - 2^{7}\right)}{1 - 2} \\ &= \frac{(1 - 128)}{(-1)} = 127 \end{aligned}.

7 0
2 years ago
Other questions:
  • Which statement represents the expression 11 (30 + 7)?
    12·1 answer
  • What is 0.0059 in scientific annotation?
    6·1 answer
  • The dimensions of a rectangular garage are 100 times the dimensions of the floor plan of the garage .the area of the floor plan
    10·1 answer
  • Parker signed up for a streaming music service that costs $6 per month. The service
    12·1 answer
  • If postage costs $.54 for the first ounce and $.22 for the each additional ounce, calculate the cost of mailing a 10- ounce enve
    9·2 answers
  • 5. While driving on the highway, Mason put his
    13·1 answer
  • What could you do to the equation 100x + 300 = 500 to change it into x + 3 = 5?
    5·1 answer
  • .......................
    5·1 answer
  • Find the value of x and y please help..
    11·1 answer
  • Can someone please explain how to complete this thanks
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!