Find all polar coordinates of point P where P = ordered pair 6 comma negative pi divided by 5.

Answers

Answer 1
Answer:

Answer:

All polar coordinates of point P are (6,-(\pi)/(5)+2n\pi) and (-6,-(\pi)/(5)+(2n+1)\pi), where n is an integer.

Step-by-step explanation:

The given point is

P=(6,-(\pi)/(5))

If a point is P=(r,\theta), then all polar coordinates of point P are defined as

(r,\theta)=(r,\theta+2n\pi)

(r,\theta)=(-r,\theta-(2n+1)\pi)

where n is an integer.

In the given point r=6 and \theta=-(\pi)/(5). So all polar coordinates of point P are defined as

(6,-(\pi)/(5))=(6,-(\pi)/(5)+2n\pi)

(6,-(\pi)/(5))=(-6,-(\pi)/(5)+(2n+1)\pi)

Therefore all polar coordinates of point P are (6,-(\pi)/(5)+2n\pi) and (-6,-(\pi)/(5)+(2n+1)\pi), where n is an integer.

Answer 2
Answer:

Answer:

P(6,-π/6) = (6, -π/6 + 2nπ) and P(-6,-π/6) = (-6, -π/6 + (2n+1)π)

Step-by-step explanation:

We need to find all polar coordinates of

P = (6,(-\pi )/(6))

The polar coordinates of any point can be reresented by (r,Ф)

where

(r,Ф) = (r, Ф+2nπ) where n is any integer and r is positive

and

(r,Ф) = (-r, Ф+(2n+1)π) where n is any integer and r is negative.

So, in the question given, r = 6 and Ф = -π/6

So, Polar coordinates will be:

P(6,-π/6) = (6, -π/6 + 2nπ) where where n is any integer and r is positive

and

P(-6,-π/6) = (-6, -π/6 + (2n+1)π) where n is any integer and r is negative.


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Arati posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?

Answers

If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.

The multiplier for increasing by 25% is:

(100 + 25) ÷ 100 = 1.25

So on day one, there are 64 responses. That means on day two, there will be:

---> 64 x 1.25 = 80 responses

On day 3, there will be:

---> 80 x 1.25 = 100 responses

Finally, on day 4, there will be:

---> 100 x 1.25 = 125 responses

A quicker way of getting this would be to do:

64 x 1.25³      since you are multiplying by 1.25  3 times

--------------------------------------------------

Answer:

125 responses

Answer:

125

Step-by-step explanation:

meh . . .

What is the end behavior of the graph of the polynomial function f(x) = –x^5 + 9x^4 – 18x^3?

Answers

Answer: its C

Step-by-step explanation:

hello

For example, the monomial y = x 2 has the following end behavior: y → ∞ as x → −∞ and y → ∞ as x → ∞ 
For any polynomial, the end behavior is determined by the term that contains the highest power of x, because when x is large, the other terms are relatively insignificant in size.

You place three orders for 100 soccer balls which cost $22 per ball. You receive all 300 balls. There is a delivery charge of $20 per order. What is your average cost per ball including delivery charges?

Answers

Answer:

Average cost per ball: $22.2

Step-by-step explanation:

Cost per ball: $22

Cost of 300 balls: 300 × 22 = $6600

Total No. of Orders: 3

Delivery fee per order: $20

Total Delievery fee: 20 × 3 =$60

Total cost including delivery cost: $6600 + $60 = $6660


Average cost per ball = (Total cost)/(No. of balls)

Average cost per ball = (6660)/(300)

Average cost per ball = $22.2



Billy invests £800 for 5 years in a savings account.By the end of the 5 years he has received a total of £96 simple interest.
Work out the annual rate of simple interest.

Answers

Answer:

2.4%

Step-by-step explanation:

Simple interest (I) is calculated as

I = (PRT)/(100)

where P is the principal, R the rate of interest and T time in years

Here I = 96, P = 800 and T = 5, thus

96 = (800R(5))/(100) = (4000R)/(100) = 40R ( divide both sides by 40 )

R = (96)/(40) = 2.4%

A 91 square foot bathroom has a length of 13 feet. what is the width of the bathroom

Answers

91 divided by 13 is 7. if the bathroom is 91 feet square, and the length is 13 feet, then the width is 7 feet

Answer:

Step-by-step explanation:

well just go to brainly my my 67

Sebastian gathered data by surveying his neighbors comparing how much time they spend on the internet to how much mail they receive in a week. Explain the steps Sebastian should take in order to analyze the data.

Answers

Step-by-step explanation:

1. The first is a tabulation of the data, in an organized, clear and concise way for each event.

2. After tabulation, for a better understanding of the data, statistical data, such as the mean, median, and standard deviation of each event, should be collected.

3. Finally, graph the data obtained to see the trend of both cases and thus have a very precise way to make the comparison of both events