Find all polar coordinates of point p where p=(3, - pi/3)

The polar coordinates of (3,-π/3)are (√(9+π^2/9),-arctan (π/9)+2π)

Step-by-step explanation:

Given (3, -π/3)

In order to convert the point to polar coordinates, we will use the following formulas:

The point in polar coordinates is represented by (r,θ)

Where

r= √(x^2+y^2 )

and

θ=arctan  (y/x)

So,

here

x=3

y= -π/3

r= √((3)^2+(-π/3)^2 )

= √(9+π^2/9)

And

θ=arctan ((-π)/3)/3

=arctan(-π/9)

The theta will be adjusted based on the given point. If the point lies in 2nd or third quadrant then π is added and if it lies in 4th quadrant then 2π is added.

θ= -arctan (π/9)+2π

The polar coordinates of (3,-π/3)are (√(9+π^2/9),-arctan (π/9)+2π)

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;