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In-s [12.5K]
3 years ago
7

Determine the graph of the polar equation r=4/(1-1/2cosx(theta))

Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

  see below

Step-by-step explanation:

We assume you want the graph of ...

  r=\dfrac{4}{1-\frac{1}{2}\cos{(\theta)}}

A graphing calculator or spreadsheet is useful for this.

__

You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

  r at 0° = 8

  r at 30° ≈ 7.05

  r at 45° ≈ 6.19

  r at 60° ≈ 5.33

  r at 90° = 4

  r at 120° = 3.2

  r at 135° ≈ 2.96

  r at 150° ≈ 2.79

  r at 180° ≈ 2.67

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Arithmetic and geometric series -Find the sum of the first 50 terms of the following series, to the nearest integer.
grandymaker [24]

Answer:

<h3>             10,450</h3>

Step-by-step explanation:

21-13=8   and   29-21=8

So this is aritmetic series where a₁ = 13, and r = 8

Sum of the first n terms:  

S_n=\dfrac{a_1+a_n}{2}\cdot n=\dfrac{a_1+a_1+(n-1)r}{2}\cdot n=\dfrac{2a_1+(n-1)r}{2}\cdot n\\\\\\S_{50}=\dfrac{2\cdot13+(50-1)\cdot8}{2}\cdot50=(13+49\cdot4)\cdot 50=10,450

5 0
3 years ago
Which equation supports the given conjecture?
Readme [11.4K]
The first part says the sum of the squares of two consecutive integers or in other words (x)(x)+(x+1)(x+1) so we can cross out A because 2 and 3 are prime numbers (no factors)  we can cross out all the others because the square root of 52 is not an integer so any equation with 52 in it does not satisfy the requirement. so none of them are corect.  additionally, some of the equations are obviously false such as 52+62=61
3 0
3 years ago
Read 2 more answers
An animal reserve has 20,000 elk. The population is increasing at a rate of 8% per year. This can be modeled by the function P(t
Scorpion4ik [409]

Answer:

The answer would be 31,737 elks.

Step-by-step explanation:

You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.

I hope this helps

8 0
2 years ago
If 2x + 5 = 82, then 12x = ?<br> A 5<br> B<br> 10<br> C 15<br> D 20
KengaRu [80]

Answer:

2x= 38.5

Step-by-step explanation:

I'm not sure where u got 12x but 2 x = 38.5:

2x + 5 =82

subtract 5 for 82

2x = 77

77 divided by 2 is 38.5

x = 38.5

hope this helps :)

5 0
3 years ago
I need the answer please don’t scam with a link I need the answer
Marizza181 [45]

Answer:

the answer is B

Step-by-step explanation:

the inequality is say any number bigger or equal to -5

so -5, -4.5, -3 is the answer.

5 0
2 years ago
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